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": {"r": "y + 16", "x": "r + 18", "e": "x + 19", "z": "e + 1", "d": "z + 1", "o": "d + 5", "m": "y + 17", "n": "m + 6", "p": "n + 13", "c": "p + 20", "t": "c + 1", "q": "t + 12", "y": 10}, "premises": {"y": 10}, "target": "o"}, "answer": {"steps": [["d", "z + 1", "z + 6"], ["z", "e + 1", "e + 7"], ["e", "x + 19", "x + 26"], ["x", "r + 18", "r + 44"], ["r", "y + 16", "y + 60"], ["y", 10, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"y": 10}, "is_reverse": true}} | 8,400 | 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 = r + 18; o = d + 5; y = 10; c = p + 20; t = c + 1; p = n + 13; d = z + 1; n = m + 6; q = t + 12; e = x + 19; m = y + 17; r = y + 16; z = e + 1. If y = 10, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 1 to o, which gives o = z + 6.\n2. Substitute z = e + 1 to o, which gives o = e + 7.\n3. Substitute e = x + 19 to o, which gives o = x + 26.\n4. Substitute x = r + 18 to o, which gives o = r + 44.\n5. Substitute r = y + 16 to o, which gives o = y + 60.\n6. Substitute y = 10 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 8400,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 18; o = d + 5; y = 10; c = p + 20; t = c + 1; p = n + 13; d = z + 1; n = m + 6; q = t + 12; e = x + 19; m = y + 17; r = y + 16; z = e + 1. If y = 10, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 3", "y": "s + 2", "n": "y + 9", "t": "n + 13", "u": "t + 7", "m": "u + 11", "x": "c + 7", "f": "x + 16", "o": "f + 15", "h": "o + 20", "a": "h + 1", "w": "a + 11", "c": 19}, "premises": {"c": 19}, "target": "m"}, "answer": {"steps": [["u", "t + 7", "t + 18"], ["t", "n + 13", "n + 31"], ["n", "y + 9", "y + 40"], ["y", "s + 2", "s + 42"], ["s", "c + 3", "c + 45"], ["c", 19, "64"]], "target_var_name": "m", "target_value": 64, "value_dict": {"c": 19}, "is_reverse": true}} | 8,401 | 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 = u + 11; a = h + 1; w = a + 11; c = 19; n = y + 9; o = f + 15; s = c + 3; x = c + 7; h = o + 20; u = t + 7; f = x + 16; y = s + 2; t = n + 13. If c = 19, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 7 to m, which gives m = t + 18.\n2. Substitute t = n + 13 to m, which gives m = n + 31.\n3. Substitute n = y + 9 to m, which gives m = y + 40.\n4. Substitute y = s + 2 to m, which gives m = s + 42.\n5. Substitute s = c + 3 to m, which gives m = c + 45.\n6. Substitute c = 19 to m, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 8401,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 11; a = h + 1; w = a + 11; c = 19; n = y + 9; o = f + 15; s = c + 3; x = c + 7; h = o + 20; u = t + 7; f = x + 16; y = s + 2; t = n + 13. If c = 19, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 1", "z": "n + 6", "q": "z + 1", "a": "q + 1", "s": "a + 5", "b": "s + 1", "p": "x + 9", "k": "p + 14", "e": "k + 2", "g": "e + 15", "m": "g + 13", "r": "m + 3", "x": 13}, "premises": {"x": 13}, "target": "b"}, "answer": {"steps": [["s", "a + 5", "a + 6"], ["a", "q + 1", "q + 7"], ["q", "z + 1", "z + 8"], ["z", "n + 6", "n + 14"], ["n", "x + 1", "x + 15"], ["x", 13, "28"]], "target_var_name": "b", "target_value": 28, "value_dict": {"x": 13}, "is_reverse": true}} | 8,402 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = n + 6; q = z + 1; s = a + 5; b = s + 1; p = x + 9; e = k + 2; m = g + 13; g = e + 15; a = q + 1; n = x + 1; x = 13; k = p + 14; r = m + 3. If x = 13, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 28,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 5 to b, which gives b = a + 6.\n2. Substitute a = q + 1 to b, which gives b = q + 7.\n3. Substitute q = z + 1 to b, which gives b = z + 8.\n4. Substitute z = n + 6 to b, which gives b = n + 14.\n5. Substitute n = x + 1 to b, which gives b = x + 15.\n6. Substitute x = 13 to b, which gives b = 28.\n\nThus, the final answer is b = \\boxed{28}.",
"index": 8402,
"question": "Consider a system of variables where each variable is defined as follows: z = n + 6; q = z + 1; s = a + 5; b = s + 1; p = x + 9; e = k + 2; m = g + 13; g = e + 15; a = q + 1; n = x + 1; x = 13; k = p + 14; r = m + 3. If x = 13, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"x": "c + 8", "m": "x + 19", "y": "m + 2", "h": "y + 7", "r": "h + 4", "p": "r + 13", "z": "c + 2", "b": "z + 8", "d": "b + 19", "n": "d + 13", "j": "n + 11", "l": "j + 18", "c": 1}, "premises": {"c": 1}, "target": "p"}, "answer": {"steps": [["r", "h + 4", "h + 17"], ["h", "y + 7", "y + 24"], ["y", "m + 2", "m + 26"], ["m", "x + 19", "x + 45"], ["x", "c + 8", "c + 53"], ["c", 1, "54"]], "target_var_name": "p", "target_value": 54, "value_dict": {"c": 1}, "is_reverse": true}} | 8,403 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = x + 19; l = j + 18; y = m + 2; r = h + 4; n = d + 13; d = b + 19; h = y + 7; c = 1; z = c + 2; b = z + 8; j = n + 11; x = c + 8; p = r + 13. If c = 1, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 4 to p, which gives p = h + 17.\n2. Substitute h = y + 7 to p, which gives p = y + 24.\n3. Substitute y = m + 2 to p, which gives p = m + 26.\n4. Substitute m = x + 19 to p, which gives p = x + 45.\n5. Substitute x = c + 8 to p, which gives p = c + 53.\n6. Substitute c = 1 to p, which gives p = 54.\n\nThus, the final answer is p = \\boxed{54}.",
"index": 8403,
"question": "Consider a system of variables where each variable is defined as follows: m = x + 19; l = j + 18; y = m + 2; r = h + 4; n = d + 13; d = b + 19; h = y + 7; c = 1; z = c + 2; b = z + 8; j = n + 11; x = c + 8; p = r + 13. If c = 1, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 2", "e": "d + 19", "a": "e + 3", "b": "a + 17", "y": "b + 13", "l": "y + 4", "i": "z + 2", "h": "i + 20", "u": "h + 18", "m": "u + 12", "x": "m + 14", "n": "x + 15", "z": 11}, "premises": {"z": 11}, "target": "l"}, "answer": {"steps": [["y", "b + 13", "b + 17"], ["b", "a + 17", "a + 34"], ["a", "e + 3", "e + 37"], ["e", "d + 19", "d + 56"], ["d", "z + 2", "z + 58"], ["z", 11, "69"]], "target_var_name": "l", "target_value": 69, "value_dict": {"z": 11}, "is_reverse": true}} | 8,404 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = 11; d = z + 2; x = m + 14; a = e + 3; n = x + 15; h = i + 20; b = a + 17; u = h + 18; m = u + 12; i = z + 2; l = y + 4; y = b + 13; e = d + 19. If z = 11, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 13 to l, which gives l = b + 17.\n2. Substitute b = a + 17 to l, which gives l = a + 34.\n3. Substitute a = e + 3 to l, which gives l = e + 37.\n4. Substitute e = d + 19 to l, which gives l = d + 56.\n5. Substitute d = z + 2 to l, which gives l = z + 58.\n6. Substitute z = 11 to l, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 8404,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 11; d = z + 2; x = m + 14; a = e + 3; n = x + 15; h = i + 20; b = a + 17; u = h + 18; m = u + 12; i = z + 2; l = y + 4; y = b + 13; e = d + 19. If z = 11, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 9", "j": "e + 10", "y": "j + 10", "r": "y + 9", "s": "r + 4", "d": "s + 10", "f": "n + 9", "o": "f + 15", "c": "o + 15", "i": "c + 20", "q": "i + 14", "h": "q + 10", "n": 14}, "premises": {"n": 14}, "target": "d"}, "answer": {"steps": [["s", "r + 4", "r + 14"], ["r", "y + 9", "y + 23"], ["y", "j + 10", "j + 33"], ["j", "e + 10", "e + 43"], ["e", "n + 9", "n + 52"], ["n", 14, "66"]], "target_var_name": "d", "target_value": 66, "value_dict": {"n": 14}, "is_reverse": true}} | 8,405 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = f + 15; e = n + 9; c = o + 15; i = c + 20; j = e + 10; s = r + 4; f = n + 9; q = i + 14; d = s + 10; h = q + 10; n = 14; r = y + 9; y = j + 10. If n = 14, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 4 to d, which gives d = r + 14.\n2. Substitute r = y + 9 to d, which gives d = y + 23.\n3. Substitute y = j + 10 to d, which gives d = j + 33.\n4. Substitute j = e + 10 to d, which gives d = e + 43.\n5. Substitute e = n + 9 to d, which gives d = n + 52.\n6. Substitute n = 14 to d, which gives d = 66.\n\nThus, the final answer is d = \\boxed{66}.",
"index": 8405,
"question": "Consider a system of variables where each variable is defined as follows: o = f + 15; e = n + 9; c = o + 15; i = c + 20; j = e + 10; s = r + 4; f = n + 9; q = i + 14; d = s + 10; h = q + 10; n = 14; r = y + 9; y = j + 10. If n = 14, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 9", "s": "e + 14", "i": "s + 11", "g": "i + 19", "m": "g + 8", "v": "m + 7", "d": "z + 5", "y": "d + 16", "p": "y + 7", "a": "p + 3", "k": "a + 2", "l": "k + 3", "z": 17}, "premises": {"z": 17}, "target": "v"}, "answer": {"steps": [["m", "g + 8", "g + 15"], ["g", "i + 19", "i + 34"], ["i", "s + 11", "s + 45"], ["s", "e + 14", "e + 59"], ["e", "z + 9", "z + 68"], ["z", 17, "85"]], "target_var_name": "v", "target_value": 85, "value_dict": {"z": 17}, "is_reverse": true}} | 8,406 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = m + 7; g = i + 19; y = d + 16; s = e + 14; l = k + 3; e = z + 9; z = 17; i = s + 11; d = z + 5; p = y + 7; a = p + 3; k = a + 2; m = g + 8. If z = 17, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 8 to v, which gives v = g + 15.\n2. Substitute g = i + 19 to v, which gives v = i + 34.\n3. Substitute i = s + 11 to v, which gives v = s + 45.\n4. Substitute s = e + 14 to v, which gives v = e + 59.\n5. Substitute e = z + 9 to v, which gives v = z + 68.\n6. Substitute z = 17 to v, which gives v = 85.\n\nThus, the final answer is v = \\boxed{85}.",
"index": 8406,
"question": "Consider a system of variables where each variable is defined as follows: v = m + 7; g = i + 19; y = d + 16; s = e + 14; l = k + 3; e = z + 9; z = 17; i = s + 11; d = z + 5; p = y + 7; a = p + 3; k = a + 2; m = g + 8. If z = 17, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"p": "t + 18", "l": "p + 16", "y": "l + 8", "u": "y + 9", "s": "u + 17", "m": "s + 11", "w": "t + 15", "k": "w + 8", "f": "k + 9", "g": "f + 4", "o": "g + 20", "n": "o + 17", "t": 16}, "premises": {"t": 16}, "target": "m"}, "answer": {"steps": [["s", "u + 17", "u + 28"], ["u", "y + 9", "y + 37"], ["y", "l + 8", "l + 45"], ["l", "p + 16", "p + 61"], ["p", "t + 18", "t + 79"], ["t", 16, "95"]], "target_var_name": "m", "target_value": 95, "value_dict": {"t": 16}, "is_reverse": true}} | 8,407 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = f + 4; w = t + 15; u = y + 9; p = t + 18; l = p + 16; k = w + 8; n = o + 17; m = s + 11; s = u + 17; y = l + 8; f = k + 9; o = g + 20; t = 16. Given that t = 16, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 17 to m, which gives m = u + 28.\n2. Substitute u = y + 9 to m, which gives m = y + 37.\n3. Substitute y = l + 8 to m, which gives m = l + 45.\n4. Substitute l = p + 16 to m, which gives m = p + 61.\n5. Substitute p = t + 18 to m, which gives m = t + 79.\n6. Substitute t = 16 to m, which gives m = 95.\n\nThus, the final answer is m = \\boxed{95}.",
"index": 8407,
"question": "Suppose a collection of variables is related by the following definitions: g = f + 4; w = t + 15; u = y + 9; p = t + 18; l = p + 16; k = w + 8; n = o + 17; m = s + 11; s = u + 17; y = l + 8; f = k + 9; o = g + 20; t = 16. Given that t = 16, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 1", "b": "x + 16", "t": "b + 20", "n": "t + 20", "k": "n + 12", "v": "k + 15", "q": "i + 4", "r": "q + 18", "m": "r + 7", "d": "m + 18", "f": "d + 11", "j": "f + 13", "i": 15}, "premises": {"i": 15}, "target": "v"}, "answer": {"steps": [["k", "n + 12", "n + 27"], ["n", "t + 20", "t + 47"], ["t", "b + 20", "b + 67"], ["b", "x + 16", "x + 83"], ["x", "i + 1", "i + 84"], ["i", 15, "99"]], "target_var_name": "v", "target_value": 99, "value_dict": {"i": 15}, "is_reverse": true}} | 8,408 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = k + 15; b = x + 16; k = n + 12; j = f + 13; q = i + 4; d = m + 18; n = t + 20; x = i + 1; m = r + 7; f = d + 11; i = 15; t = b + 20; r = q + 18. Given that i = 15, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = n + 12 to v, which gives v = n + 27.\n2. Substitute n = t + 20 to v, which gives v = t + 47.\n3. Substitute t = b + 20 to v, which gives v = b + 67.\n4. Substitute b = x + 16 to v, which gives v = x + 83.\n5. Substitute x = i + 1 to v, which gives v = i + 84.\n6. Substitute i = 15 to v, which gives v = 99.\n\nThus, the final answer is v = \\boxed{99}.",
"index": 8408,
"question": "Suppose a collection of variables is related by the following definitions: v = k + 15; b = x + 16; k = n + 12; j = f + 13; q = i + 4; d = m + 18; n = t + 20; x = i + 1; m = r + 7; f = d + 11; i = 15; t = b + 20; r = q + 18. Given that i = 15, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 7", "i": "j + 7", "d": "i + 2", "s": "d + 12", "n": "s + 16", "q": "n + 9", "v": "f + 3", "x": "v + 7", "k": "x + 4", "a": "k + 18", "r": "a + 9", "l": "r + 12", "f": 15}, "premises": {"f": 15}, "target": "q"}, "answer": {"steps": [["n", "s + 16", "s + 25"], ["s", "d + 12", "d + 37"], ["d", "i + 2", "i + 39"], ["i", "j + 7", "j + 46"], ["j", "f + 7", "f + 53"], ["f", 15, "68"]], "target_var_name": "q", "target_value": 68, "value_dict": {"f": 15}, "is_reverse": true}} | 8,409 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = j + 7; x = v + 7; n = s + 16; f = 15; q = n + 9; j = f + 7; s = d + 12; v = f + 3; d = i + 2; k = x + 4; r = a + 9; a = k + 18; l = r + 12. If f = 15, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 16 to q, which gives q = s + 25.\n2. Substitute s = d + 12 to q, which gives q = d + 37.\n3. Substitute d = i + 2 to q, which gives q = i + 39.\n4. Substitute i = j + 7 to q, which gives q = j + 46.\n5. Substitute j = f + 7 to q, which gives q = f + 53.\n6. Substitute f = 15 to q, which gives q = 68.\n\nThus, the final answer is q = \\boxed{68}.",
"index": 8409,
"question": "Consider a system of variables where each variable is defined as follows: i = j + 7; x = v + 7; n = s + 16; f = 15; q = n + 9; j = f + 7; s = d + 12; v = f + 3; d = i + 2; k = x + 4; r = a + 9; a = k + 18; l = r + 12. If f = 15, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 11", "y": "t + 1", "q": "y + 4", "p": "q + 2", "o": "p + 14", "l": "o + 11", "u": "x + 7", "e": "u + 6", "g": "e + 5", "n": "g + 16", "s": "n + 7", "a": "s + 19", "x": 18}, "premises": {"x": 18}, "target": "l"}, "answer": {"steps": [["o", "p + 14", "p + 25"], ["p", "q + 2", "q + 27"], ["q", "y + 4", "y + 31"], ["y", "t + 1", "t + 32"], ["t", "x + 11", "x + 43"], ["x", 18, "61"]], "target_var_name": "l", "target_value": 61, "value_dict": {"x": 18}, "is_reverse": true}} | 8,410 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = x + 7; s = n + 7; y = t + 1; a = s + 19; l = o + 11; x = 18; e = u + 6; t = x + 11; n = g + 16; p = q + 2; g = e + 5; o = p + 14; q = y + 4. If x = 18, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 14 to l, which gives l = p + 25.\n2. Substitute p = q + 2 to l, which gives l = q + 27.\n3. Substitute q = y + 4 to l, which gives l = y + 31.\n4. Substitute y = t + 1 to l, which gives l = t + 32.\n5. Substitute t = x + 11 to l, which gives l = x + 43.\n6. Substitute x = 18 to l, which gives l = 61.\n\nThus, the final answer is l = \\boxed{61}.",
"index": 8410,
"question": "Consider a system of variables where each variable is defined as follows: u = x + 7; s = n + 7; y = t + 1; a = s + 19; l = o + 11; x = 18; e = u + 6; t = x + 11; n = g + 16; p = q + 2; g = e + 5; o = p + 14; q = y + 4. If x = 18, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 12", "r": "v + 1", "u": "r + 5", "s": "u + 7", "w": "s + 9", "b": "w + 7", "h": "k + 3", "x": "h + 14", "d": "x + 14", "q": "d + 4", "p": "q + 14", "j": "p + 16", "k": 15}, "premises": {"k": 15}, "target": "b"}, "answer": {"steps": [["w", "s + 9", "s + 16"], ["s", "u + 7", "u + 23"], ["u", "r + 5", "r + 28"], ["r", "v + 1", "v + 29"], ["v", "k + 12", "k + 41"], ["k", 15, "56"]], "target_var_name": "b", "target_value": 56, "value_dict": {"k": 15}, "is_reverse": true}} | 8,411 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = d + 4; s = u + 7; w = s + 9; u = r + 5; b = w + 7; j = p + 16; x = h + 14; h = k + 3; r = v + 1; d = x + 14; v = k + 12; k = 15; p = q + 14. Given that k = 15, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 9 to b, which gives b = s + 16.\n2. Substitute s = u + 7 to b, which gives b = u + 23.\n3. Substitute u = r + 5 to b, which gives b = r + 28.\n4. Substitute r = v + 1 to b, which gives b = v + 29.\n5. Substitute v = k + 12 to b, which gives b = k + 41.\n6. Substitute k = 15 to b, which gives b = 56.\n\nThus, the final answer is b = \\boxed{56}.",
"index": 8411,
"question": "Suppose a collection of variables is related by the following definitions: q = d + 4; s = u + 7; w = s + 9; u = r + 5; b = w + 7; j = p + 16; x = h + 14; h = k + 3; r = v + 1; d = x + 14; v = k + 12; k = 15; p = q + 14. Given that k = 15, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"g": "w + 8", "k": "g + 18", "r": "k + 1", "b": "r + 17", "s": "b + 16", "u": "s + 12", "m": "w + 3", "h": "m + 14", "f": "h + 7", "i": "f + 5", "j": "i + 16", "a": "j + 15", "w": 11}, "premises": {"w": 11}, "target": "u"}, "answer": {"steps": [["s", "b + 16", "b + 28"], ["b", "r + 17", "r + 45"], ["r", "k + 1", "k + 46"], ["k", "g + 18", "g + 64"], ["g", "w + 8", "w + 72"], ["w", 11, "83"]], "target_var_name": "u", "target_value": 83, "value_dict": {"w": 11}, "is_reverse": true}} | 8,412 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = s + 12; w = 11; b = r + 17; j = i + 16; m = w + 3; k = g + 18; i = f + 5; h = m + 14; r = k + 1; f = h + 7; a = j + 15; s = b + 16; g = w + 8. Given that w = 11, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 16 to u, which gives u = b + 28.\n2. Substitute b = r + 17 to u, which gives u = r + 45.\n3. Substitute r = k + 1 to u, which gives u = k + 46.\n4. Substitute k = g + 18 to u, which gives u = g + 64.\n5. Substitute g = w + 8 to u, which gives u = w + 72.\n6. Substitute w = 11 to u, which gives u = 83.\n\nThus, the final answer is u = \\boxed{83}.",
"index": 8412,
"question": "Suppose a collection of variables is related by the following definitions: u = s + 12; w = 11; b = r + 17; j = i + 16; m = w + 3; k = g + 18; i = f + 5; h = m + 14; r = k + 1; f = h + 7; a = j + 15; s = b + 16; g = w + 8. Given that w = 11, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 5", "w": "k + 10", "f": "w + 9", "q": "f + 14", "e": "q + 18", "o": "e + 17", "b": "s + 19", "x": "b + 17", "r": "x + 15", "y": "r + 18", "m": "y + 3", "u": "m + 16", "s": 7}, "premises": {"s": 7}, "target": "o"}, "answer": {"steps": [["e", "q + 18", "q + 35"], ["q", "f + 14", "f + 49"], ["f", "w + 9", "w + 58"], ["w", "k + 10", "k + 68"], ["k", "s + 5", "s + 73"], ["s", 7, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"s": 7}, "is_reverse": true}} | 8,413 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = w + 9; k = s + 5; x = b + 17; w = k + 10; b = s + 19; q = f + 14; m = y + 3; r = x + 15; o = e + 17; e = q + 18; u = m + 16; y = r + 18; s = 7. If s = 7, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 18 to o, which gives o = q + 35.\n2. Substitute q = f + 14 to o, which gives o = f + 49.\n3. Substitute f = w + 9 to o, which gives o = w + 58.\n4. Substitute w = k + 10 to o, which gives o = k + 68.\n5. Substitute k = s + 5 to o, which gives o = s + 73.\n6. Substitute s = 7 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 8413,
"question": "Consider a system of variables where each variable is defined as follows: f = w + 9; k = s + 5; x = b + 17; w = k + 10; b = s + 19; q = f + 14; m = y + 3; r = x + 15; o = e + 17; e = q + 18; u = m + 16; y = r + 18; s = 7. If s = 7, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 10", "z": "t + 8", "b": "z + 4", "o": "b + 15", "a": "o + 12", "x": "a + 14", "l": "f + 14", "u": "l + 5", "g": "u + 2", "k": "g + 4", "m": "k + 7", "p": "m + 15", "f": 4}, "premises": {"f": 4}, "target": "x"}, "answer": {"steps": [["a", "o + 12", "o + 26"], ["o", "b + 15", "b + 41"], ["b", "z + 4", "z + 45"], ["z", "t + 8", "t + 53"], ["t", "f + 10", "f + 63"], ["f", 4, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"f": 4}, "is_reverse": true}} | 8,414 | 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 = a + 14; p = m + 15; u = l + 5; z = t + 8; l = f + 14; b = z + 4; k = g + 4; g = u + 2; a = o + 12; o = b + 15; m = k + 7; f = 4; t = f + 10. If f = 4, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 12 to x, which gives x = o + 26.\n2. Substitute o = b + 15 to x, which gives x = b + 41.\n3. Substitute b = z + 4 to x, which gives x = z + 45.\n4. Substitute z = t + 8 to x, which gives x = t + 53.\n5. Substitute t = f + 10 to x, which gives x = f + 63.\n6. Substitute f = 4 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 8414,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = a + 14; p = m + 15; u = l + 5; z = t + 8; l = f + 14; b = z + 4; k = g + 4; g = u + 2; a = o + 12; o = b + 15; m = k + 7; f = 4; t = f + 10. If f = 4, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"s": "o + 1", "e": "s + 7", "b": "e + 8", "m": "b + 18", "y": "m + 13", "r": "y + 13", "q": "o + 8", "t": "q + 5", "g": "t + 1", "l": "g + 12", "w": "l + 8", "z": "w + 19", "o": 1}, "premises": {"o": 1}, "target": "r"}, "answer": {"steps": [["y", "m + 13", "m + 26"], ["m", "b + 18", "b + 44"], ["b", "e + 8", "e + 52"], ["e", "s + 7", "s + 59"], ["s", "o + 1", "o + 60"], ["o", 1, "61"]], "target_var_name": "r", "target_value": 61, "value_dict": {"o": 1}, "is_reverse": true}} | 8,415 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = w + 19; o = 1; q = o + 8; g = t + 1; s = o + 1; e = s + 7; m = b + 18; b = e + 8; r = y + 13; t = q + 5; y = m + 13; l = g + 12; w = l + 8. If o = 1, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 13 to r, which gives r = m + 26.\n2. Substitute m = b + 18 to r, which gives r = b + 44.\n3. Substitute b = e + 8 to r, which gives r = e + 52.\n4. Substitute e = s + 7 to r, which gives r = s + 59.\n5. Substitute s = o + 1 to r, which gives r = o + 60.\n6. Substitute o = 1 to r, which gives r = 61.\n\nThus, the final answer is r = \\boxed{61}.",
"index": 8415,
"question": "Consider a system of variables where each variable is defined as follows: z = w + 19; o = 1; q = o + 8; g = t + 1; s = o + 1; e = s + 7; m = b + 18; b = e + 8; r = y + 13; t = q + 5; y = m + 13; l = g + 12; w = l + 8. If o = 1, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 5", "m": "w + 16", "o": "m + 17", "u": "o + 2", "a": "u + 20", "i": "a + 20", "q": "x + 16", "p": "q + 19", "v": "p + 5", "y": "v + 13", "h": "y + 9", "g": "h + 15", "x": 12}, "premises": {"x": 12}, "target": "i"}, "answer": {"steps": [["a", "u + 20", "u + 40"], ["u", "o + 2", "o + 42"], ["o", "m + 17", "m + 59"], ["m", "w + 16", "w + 75"], ["w", "x + 5", "x + 80"], ["x", 12, "92"]], "target_var_name": "i", "target_value": 92, "value_dict": {"x": 12}, "is_reverse": true}} | 8,416 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = p + 5; q = x + 16; p = q + 19; w = x + 5; y = v + 13; a = u + 20; x = 12; u = o + 2; g = h + 15; m = w + 16; o = m + 17; h = y + 9; i = a + 20. Given that x = 12, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 20 to i, which gives i = u + 40.\n2. Substitute u = o + 2 to i, which gives i = o + 42.\n3. Substitute o = m + 17 to i, which gives i = m + 59.\n4. Substitute m = w + 16 to i, which gives i = w + 75.\n5. Substitute w = x + 5 to i, which gives i = x + 80.\n6. Substitute x = 12 to i, which gives i = 92.\n\nThus, the final answer is i = \\boxed{92}.",
"index": 8416,
"question": "Suppose a collection of variables is related by the following definitions: v = p + 5; q = x + 16; p = q + 19; w = x + 5; y = v + 13; a = u + 20; x = 12; u = o + 2; g = h + 15; m = w + 16; o = m + 17; h = y + 9; i = a + 20. Given that x = 12, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 18", "s": "c + 10", "a": "s + 4", "m": "a + 5", "r": "m + 15", "j": "r + 3", "i": "x + 16", "b": "i + 9", "l": "b + 3", "k": "l + 6", "o": "k + 6", "e": "o + 9", "x": 10}, "premises": {"x": 10}, "target": "j"}, "answer": {"steps": [["r", "m + 15", "m + 18"], ["m", "a + 5", "a + 23"], ["a", "s + 4", "s + 27"], ["s", "c + 10", "c + 37"], ["c", "x + 18", "x + 55"], ["x", 10, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"x": 10}, "is_reverse": true}} | 8,417 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 10; m = a + 5; e = o + 9; k = l + 6; a = s + 4; r = m + 15; b = i + 9; c = x + 18; o = k + 6; i = x + 16; s = c + 10; l = b + 3; j = r + 3. Given that x = 10, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = m + 15 to j, which gives j = m + 18.\n2. Substitute m = a + 5 to j, which gives j = a + 23.\n3. Substitute a = s + 4 to j, which gives j = s + 27.\n4. Substitute s = c + 10 to j, which gives j = c + 37.\n5. Substitute c = x + 18 to j, which gives j = x + 55.\n6. Substitute x = 10 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 8417,
"question": "Suppose a collection of variables is related by the following definitions: x = 10; m = a + 5; e = o + 9; k = l + 6; a = s + 4; r = m + 15; b = i + 9; c = x + 18; o = k + 6; i = x + 16; s = c + 10; l = b + 3; j = r + 3. Given that x = 10, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"i": "k + 1", "r": "i + 4", "m": "r + 19", "x": "m + 9", "s": "x + 13", "y": "s + 16", "b": "k + 1", "p": "b + 7", "l": "p + 4", "q": "l + 11", "z": "q + 10", "a": "z + 11", "k": 18}, "premises": {"k": 18}, "target": "y"}, "answer": {"steps": [["s", "x + 13", "x + 29"], ["x", "m + 9", "m + 38"], ["m", "r + 19", "r + 57"], ["r", "i + 4", "i + 61"], ["i", "k + 1", "k + 62"], ["k", 18, "80"]], "target_var_name": "y", "target_value": 80, "value_dict": {"k": 18}, "is_reverse": true}} | 8,418 | 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 = r + 19; q = l + 11; z = q + 10; x = m + 9; a = z + 11; y = s + 16; k = 18; r = i + 4; b = k + 1; p = b + 7; s = x + 13; i = k + 1; l = p + 4. If k = 18, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 13 to y, which gives y = x + 29.\n2. Substitute x = m + 9 to y, which gives y = m + 38.\n3. Substitute m = r + 19 to y, which gives y = r + 57.\n4. Substitute r = i + 4 to y, which gives y = i + 61.\n5. Substitute i = k + 1 to y, which gives y = k + 62.\n6. Substitute k = 18 to y, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 8418,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = r + 19; q = l + 11; z = q + 10; x = m + 9; a = z + 11; y = s + 16; k = 18; r = i + 4; b = k + 1; p = b + 7; s = x + 13; i = k + 1; l = p + 4. If k = 18, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"y": "v + 12", "l": "y + 12", "f": "l + 17", "d": "f + 20", "t": "d + 13", "h": "t + 20", "i": "v + 13", "g": "i + 1", "u": "g + 5", "o": "u + 20", "s": "o + 1", "x": "s + 9", "v": 16}, "premises": {"v": 16}, "target": "h"}, "answer": {"steps": [["t", "d + 13", "d + 33"], ["d", "f + 20", "f + 53"], ["f", "l + 17", "l + 70"], ["l", "y + 12", "y + 82"], ["y", "v + 12", "v + 94"], ["v", 16, "110"]], "target_var_name": "h", "target_value": 110, "value_dict": {"v": 16}, "is_reverse": true}} | 8,419 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 17; h = t + 20; v = 16; x = s + 9; o = u + 20; i = v + 13; y = v + 12; g = i + 1; d = f + 20; s = o + 1; t = d + 13; u = g + 5; l = y + 12. If v = 16, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 13 to h, which gives h = d + 33.\n2. Substitute d = f + 20 to h, which gives h = f + 53.\n3. Substitute f = l + 17 to h, which gives h = l + 70.\n4. Substitute l = y + 12 to h, which gives h = y + 82.\n5. Substitute y = v + 12 to h, which gives h = v + 94.\n6. Substitute v = 16 to h, which gives h = 110.\n\nThus, the final answer is h = \\boxed{110}.",
"index": 8419,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 17; h = t + 20; v = 16; x = s + 9; o = u + 20; i = v + 13; y = v + 12; g = i + 1; d = f + 20; s = o + 1; t = d + 13; u = g + 5; l = y + 12. If v = 16, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 15", "l": "t + 12", "p": "l + 4", "a": "p + 13", "n": "a + 4", "v": "n + 19", "h": "c + 9", "s": "h + 14", "o": "s + 6", "f": "o + 18", "x": "f + 11", "k": "x + 1", "c": 10}, "premises": {"c": 10}, "target": "v"}, "answer": {"steps": [["n", "a + 4", "a + 23"], ["a", "p + 13", "p + 36"], ["p", "l + 4", "l + 40"], ["l", "t + 12", "t + 52"], ["t", "c + 15", "c + 67"], ["c", 10, "77"]], "target_var_name": "v", "target_value": 77, "value_dict": {"c": 10}, "is_reverse": true}} | 8,420 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = s + 6; a = p + 13; l = t + 12; f = o + 18; v = n + 19; t = c + 15; k = x + 1; p = l + 4; h = c + 9; n = a + 4; c = 10; x = f + 11; s = h + 14. Given that c = 10, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 4 to v, which gives v = a + 23.\n2. Substitute a = p + 13 to v, which gives v = p + 36.\n3. Substitute p = l + 4 to v, which gives v = l + 40.\n4. Substitute l = t + 12 to v, which gives v = t + 52.\n5. Substitute t = c + 15 to v, which gives v = c + 67.\n6. Substitute c = 10 to v, which gives v = 77.\n\nThus, the final answer is v = \\boxed{77}.",
"index": 8420,
"question": "Suppose a collection of variables is related by the following definitions: o = s + 6; a = p + 13; l = t + 12; f = o + 18; v = n + 19; t = c + 15; k = x + 1; p = l + 4; h = c + 9; n = a + 4; c = 10; x = f + 11; s = h + 14. Given that c = 10, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 12", "i": "t + 9", "g": "i + 6", "u": "g + 5", "p": "u + 2", "e": "p + 1", "h": "c + 5", "b": "h + 8", "z": "b + 6", "q": "z + 4", "r": "q + 7", "o": "r + 18", "c": 18}, "premises": {"c": 18}, "target": "e"}, "answer": {"steps": [["p", "u + 2", "u + 3"], ["u", "g + 5", "g + 8"], ["g", "i + 6", "i + 14"], ["i", "t + 9", "t + 23"], ["t", "c + 12", "c + 35"], ["c", 18, "53"]], "target_var_name": "e", "target_value": 53, "value_dict": {"c": 18}, "is_reverse": true}} | 8,421 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = z + 4; u = g + 5; z = b + 6; b = h + 8; e = p + 1; r = q + 7; i = t + 9; o = r + 18; h = c + 5; p = u + 2; g = i + 6; t = c + 12; c = 18. Given that c = 18, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 2 to e, which gives e = u + 3.\n2. Substitute u = g + 5 to e, which gives e = g + 8.\n3. Substitute g = i + 6 to e, which gives e = i + 14.\n4. Substitute i = t + 9 to e, which gives e = t + 23.\n5. Substitute t = c + 12 to e, which gives e = c + 35.\n6. Substitute c = 18 to e, which gives e = 53.\n\nThus, the final answer is e = \\boxed{53}.",
"index": 8421,
"question": "Suppose a collection of variables is related by the following definitions: q = z + 4; u = g + 5; z = b + 6; b = h + 8; e = p + 1; r = q + 7; i = t + 9; o = r + 18; h = c + 5; p = u + 2; g = i + 6; t = c + 12; c = 18. Given that c = 18, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 11", "o": "r + 4", "c": "o + 6", "j": "c + 4", "a": "j + 10", "i": "a + 12", "l": "g + 14", "y": "l + 2", "m": "y + 14", "q": "m + 8", "d": "q + 10", "v": "d + 4", "g": 14}, "premises": {"g": 14}, "target": "i"}, "answer": {"steps": [["a", "j + 10", "j + 22"], ["j", "c + 4", "c + 26"], ["c", "o + 6", "o + 32"], ["o", "r + 4", "r + 36"], ["r", "g + 11", "g + 47"], ["g", 14, "61"]], "target_var_name": "i", "target_value": 61, "value_dict": {"g": 14}, "is_reverse": true}} | 8,422 | 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 = r + 4; m = y + 14; d = q + 10; c = o + 6; l = g + 14; r = g + 11; y = l + 2; g = 14; q = m + 8; i = a + 12; j = c + 4; a = j + 10; v = d + 4. If g = 14, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 10 to i, which gives i = j + 22.\n2. Substitute j = c + 4 to i, which gives i = c + 26.\n3. Substitute c = o + 6 to i, which gives i = o + 32.\n4. Substitute o = r + 4 to i, which gives i = r + 36.\n5. Substitute r = g + 11 to i, which gives i = g + 47.\n6. Substitute g = 14 to i, which gives i = 61.\n\nThus, the final answer is i = \\boxed{61}.",
"index": 8422,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = r + 4; m = y + 14; d = q + 10; c = o + 6; l = g + 14; r = g + 11; y = l + 2; g = 14; q = m + 8; i = a + 12; j = c + 4; a = j + 10; v = d + 4. If g = 14, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 17", "o": "t + 3", "p": "o + 20", "y": "p + 5", "j": "y + 3", "d": "j + 6", "l": "a + 19", "z": "l + 5", "c": "z + 18", "b": "c + 13", "k": "b + 12", "n": "k + 8", "a": 8}, "premises": {"a": 8}, "target": "d"}, "answer": {"steps": [["j", "y + 3", "y + 9"], ["y", "p + 5", "p + 14"], ["p", "o + 20", "o + 34"], ["o", "t + 3", "t + 37"], ["t", "a + 17", "a + 54"], ["a", 8, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"a": 8}, "is_reverse": true}} | 8,423 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = l + 5; a = 8; l = a + 19; o = t + 3; j = y + 3; y = p + 5; c = z + 18; t = a + 17; k = b + 12; p = o + 20; n = k + 8; d = j + 6; b = c + 13. If a = 8, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 3 to d, which gives d = y + 9.\n2. Substitute y = p + 5 to d, which gives d = p + 14.\n3. Substitute p = o + 20 to d, which gives d = o + 34.\n4. Substitute o = t + 3 to d, which gives d = t + 37.\n5. Substitute t = a + 17 to d, which gives d = a + 54.\n6. Substitute a = 8 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 8423,
"question": "Consider a system of variables where each variable is defined as follows: z = l + 5; a = 8; l = a + 19; o = t + 3; j = y + 3; y = p + 5; c = z + 18; t = a + 17; k = b + 12; p = o + 20; n = k + 8; d = j + 6; b = c + 13. If a = 8, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"h": "n + 18", "s": "h + 15", "z": "s + 16", "p": "z + 17", "f": "p + 5", "v": "f + 10", "i": "n + 15", "q": "i + 14", "l": "q + 7", "d": "l + 11", "r": "d + 15", "o": "r + 13", "n": 20}, "premises": {"n": 20}, "target": "v"}, "answer": {"steps": [["f", "p + 5", "p + 15"], ["p", "z + 17", "z + 32"], ["z", "s + 16", "s + 48"], ["s", "h + 15", "h + 63"], ["h", "n + 18", "n + 81"], ["n", 20, "101"]], "target_var_name": "v", "target_value": 101, "value_dict": {"n": 20}, "is_reverse": true}} | 8,424 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = n + 18; q = i + 14; z = s + 16; o = r + 13; d = l + 11; v = f + 10; i = n + 15; s = h + 15; p = z + 17; r = d + 15; l = q + 7; f = p + 5; n = 20. Given that n = 20, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 5 to v, which gives v = p + 15.\n2. Substitute p = z + 17 to v, which gives v = z + 32.\n3. Substitute z = s + 16 to v, which gives v = s + 48.\n4. Substitute s = h + 15 to v, which gives v = h + 63.\n5. Substitute h = n + 18 to v, which gives v = n + 81.\n6. Substitute n = 20 to v, which gives v = 101.\n\nThus, the final answer is v = \\boxed{101}.",
"index": 8424,
"question": "Suppose a collection of variables is related by the following definitions: h = n + 18; q = i + 14; z = s + 16; o = r + 13; d = l + 11; v = f + 10; i = n + 15; s = h + 15; p = z + 17; r = d + 15; l = q + 7; f = p + 5; n = 20. Given that n = 20, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"c": "i + 11", "l": "c + 7", "f": "l + 18", "a": "f + 18", "k": "a + 1", "e": "k + 1", "w": "i + 2", "j": "w + 18", "y": "j + 11", "s": "y + 17", "d": "s + 2", "r": "d + 4", "i": 2}, "premises": {"i": 2}, "target": "e"}, "answer": {"steps": [["k", "a + 1", "a + 2"], ["a", "f + 18", "f + 20"], ["f", "l + 18", "l + 38"], ["l", "c + 7", "c + 45"], ["c", "i + 11", "i + 56"], ["i", 2, "58"]], "target_var_name": "e", "target_value": 58, "value_dict": {"i": 2}, "is_reverse": true}} | 8,425 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = i + 11; d = s + 2; a = f + 18; e = k + 1; s = y + 17; k = a + 1; l = c + 7; r = d + 4; j = w + 18; w = i + 2; y = j + 11; i = 2; f = l + 18. If i = 2, determine 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 k = a + 1 to e, which gives e = a + 2.\n2. Substitute a = f + 18 to e, which gives e = f + 20.\n3. Substitute f = l + 18 to e, which gives e = l + 38.\n4. Substitute l = c + 7 to e, which gives e = c + 45.\n5. Substitute c = i + 11 to e, which gives e = i + 56.\n6. Substitute i = 2 to e, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 8425,
"question": "Consider a system of variables where each variable is defined as follows: c = i + 11; d = s + 2; a = f + 18; e = k + 1; s = y + 17; k = a + 1; l = c + 7; r = d + 4; j = w + 18; w = i + 2; y = j + 11; i = 2; f = l + 18. If i = 2, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 9", "e": "k + 9", "q": "e + 17", "x": "q + 10", "n": "x + 17", "s": "n + 2", "b": "t + 7", "l": "b + 9", "c": "l + 5", "z": "c + 1", "p": "z + 6", "o": "p + 1", "t": 2}, "premises": {"t": 2}, "target": "s"}, "answer": {"steps": [["n", "x + 17", "x + 19"], ["x", "q + 10", "q + 29"], ["q", "e + 17", "e + 46"], ["e", "k + 9", "k + 55"], ["k", "t + 9", "t + 64"], ["t", 2, "66"]], "target_var_name": "s", "target_value": 66, "value_dict": {"t": 2}, "is_reverse": true}} | 8,426 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = t + 9; x = q + 10; b = t + 7; p = z + 6; s = n + 2; t = 2; o = p + 1; l = b + 9; n = x + 17; c = l + 5; q = e + 17; z = c + 1; e = k + 9. If t = 2, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 17 to s, which gives s = x + 19.\n2. Substitute x = q + 10 to s, which gives s = q + 29.\n3. Substitute q = e + 17 to s, which gives s = e + 46.\n4. Substitute e = k + 9 to s, which gives s = k + 55.\n5. Substitute k = t + 9 to s, which gives s = t + 64.\n6. Substitute t = 2 to s, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 8426,
"question": "Consider a system of variables where each variable is defined as follows: k = t + 9; x = q + 10; b = t + 7; p = z + 6; s = n + 2; t = 2; o = p + 1; l = b + 9; n = x + 17; c = l + 5; q = e + 17; z = c + 1; e = k + 9. If t = 2, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 3", "j": "n + 18", "w": "j + 5", "b": "w + 5", "u": "b + 7", "f": "u + 1", "o": "r + 12", "s": "o + 18", "z": "s + 17", "q": "z + 15", "i": "q + 2", "e": "i + 16", "r": 6}, "premises": {"r": 6}, "target": "f"}, "answer": {"steps": [["u", "b + 7", "b + 8"], ["b", "w + 5", "w + 13"], ["w", "j + 5", "j + 18"], ["j", "n + 18", "n + 36"], ["n", "r + 3", "r + 39"], ["r", 6, "45"]], "target_var_name": "f", "target_value": 45, "value_dict": {"r": 6}, "is_reverse": true}} | 8,427 | 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 = z + 15; b = w + 5; o = r + 12; i = q + 2; f = u + 1; n = r + 3; u = b + 7; r = 6; e = i + 16; j = n + 18; z = s + 17; w = j + 5; s = o + 18. If r = 6, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 7 to f, which gives f = b + 8.\n2. Substitute b = w + 5 to f, which gives f = w + 13.\n3. Substitute w = j + 5 to f, which gives f = j + 18.\n4. Substitute j = n + 18 to f, which gives f = n + 36.\n5. Substitute n = r + 3 to f, which gives f = r + 39.\n6. Substitute r = 6 to f, which gives f = 45.\n\nThus, the final answer is f = \\boxed{45}.",
"index": 8427,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = z + 15; b = w + 5; o = r + 12; i = q + 2; f = u + 1; n = r + 3; u = b + 7; r = 6; e = i + 16; j = n + 18; z = s + 17; w = j + 5; s = o + 18. If r = 6, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"b": "a + 7", "k": "b + 7", "m": "k + 19", "o": "m + 5", "v": "o + 9", "g": "v + 2", "x": "a + 20", "p": "x + 10", "y": "p + 15", "w": "y + 1", "q": "w + 12", "t": "q + 3", "a": 8}, "premises": {"a": 8}, "target": "g"}, "answer": {"steps": [["v", "o + 9", "o + 11"], ["o", "m + 5", "m + 16"], ["m", "k + 19", "k + 35"], ["k", "b + 7", "b + 42"], ["b", "a + 7", "a + 49"], ["a", 8, "57"]], "target_var_name": "g", "target_value": 57, "value_dict": {"a": 8}, "is_reverse": true}} | 8,428 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = b + 7; y = p + 15; g = v + 2; p = x + 10; t = q + 3; q = w + 12; o = m + 5; w = y + 1; x = a + 20; b = a + 7; m = k + 19; a = 8; v = o + 9. If a = 8, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 9 to g, which gives g = o + 11.\n2. Substitute o = m + 5 to g, which gives g = m + 16.\n3. Substitute m = k + 19 to g, which gives g = k + 35.\n4. Substitute k = b + 7 to g, which gives g = b + 42.\n5. Substitute b = a + 7 to g, which gives g = a + 49.\n6. Substitute a = 8 to g, which gives g = 57.\n\nThus, the final answer is g = \\boxed{57}.",
"index": 8428,
"question": "Consider a system of variables where each variable is defined as follows: k = b + 7; y = p + 15; g = v + 2; p = x + 10; t = q + 3; q = w + 12; o = m + 5; w = y + 1; x = a + 20; b = a + 7; m = k + 19; a = 8; v = o + 9. If a = 8, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 2", "e": "u + 12", "l": "e + 13", "n": "l + 4", "q": "n + 6", "o": "q + 16", "h": "b + 11", "y": "h + 13", "k": "y + 20", "z": "k + 15", "s": "z + 14", "x": "s + 3", "b": 12}, "premises": {"b": 12}, "target": "o"}, "answer": {"steps": [["q", "n + 6", "n + 22"], ["n", "l + 4", "l + 26"], ["l", "e + 13", "e + 39"], ["e", "u + 12", "u + 51"], ["u", "b + 2", "b + 53"], ["b", 12, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"b": 12}, "is_reverse": true}} | 8,429 | 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 = n + 6; l = e + 13; h = b + 11; e = u + 12; y = h + 13; o = q + 16; z = k + 15; b = 12; x = s + 3; s = z + 14; n = l + 4; k = y + 20; u = b + 2. If b = 12, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 6 to o, which gives o = n + 22.\n2. Substitute n = l + 4 to o, which gives o = l + 26.\n3. Substitute l = e + 13 to o, which gives o = e + 39.\n4. Substitute e = u + 12 to o, which gives o = u + 51.\n5. Substitute u = b + 2 to o, which gives o = b + 53.\n6. Substitute b = 12 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 8429,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 6; l = e + 13; h = b + 11; e = u + 12; y = h + 13; o = q + 16; z = k + 15; b = 12; x = s + 3; s = z + 14; n = l + 4; k = y + 20; u = b + 2. If b = 12, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 12", "c": "o + 3", "w": "c + 5", "l": "w + 3", "p": "l + 5", "h": "p + 7", "b": "v + 15", "u": "b + 4", "t": "u + 15", "e": "t + 12", "m": "e + 13", "d": "m + 12", "v": 6}, "premises": {"v": 6}, "target": "h"}, "answer": {"steps": [["p", "l + 5", "l + 12"], ["l", "w + 3", "w + 15"], ["w", "c + 5", "c + 20"], ["c", "o + 3", "o + 23"], ["o", "v + 12", "v + 35"], ["v", 6, "41"]], "target_var_name": "h", "target_value": 41, "value_dict": {"v": 6}, "is_reverse": true}} | 8,430 | 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 = e + 13; e = t + 12; l = w + 3; o = v + 12; u = b + 4; d = m + 12; p = l + 5; h = p + 7; t = u + 15; b = v + 15; c = o + 3; v = 6; w = c + 5. If v = 6, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 5 to h, which gives h = l + 12.\n2. Substitute l = w + 3 to h, which gives h = w + 15.\n3. Substitute w = c + 5 to h, which gives h = c + 20.\n4. Substitute c = o + 3 to h, which gives h = o + 23.\n5. Substitute o = v + 12 to h, which gives h = v + 35.\n6. Substitute v = 6 to h, which gives h = 41.\n\nThus, the final answer is h = \\boxed{41}.",
"index": 8430,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 13; e = t + 12; l = w + 3; o = v + 12; u = b + 4; d = m + 12; p = l + 5; h = p + 7; t = u + 15; b = v + 15; c = o + 3; v = 6; w = c + 5. If v = 6, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 9", "s": "b + 8", "v": "s + 14", "j": "v + 6", "n": "j + 19", "t": "n + 5", "x": "y + 17", "w": "x + 1", "u": "w + 11", "f": "u + 10", "d": "f + 6", "i": "d + 11", "y": 20}, "premises": {"y": 20}, "target": "t"}, "answer": {"steps": [["n", "j + 19", "j + 24"], ["j", "v + 6", "v + 30"], ["v", "s + 14", "s + 44"], ["s", "b + 8", "b + 52"], ["b", "y + 9", "y + 61"], ["y", 20, "81"]], "target_var_name": "t", "target_value": 81, "value_dict": {"y": 20}, "is_reverse": true}} | 8,431 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = f + 6; v = s + 14; s = b + 8; j = v + 6; w = x + 1; t = n + 5; n = j + 19; i = d + 11; x = y + 17; b = y + 9; u = w + 11; f = u + 10; y = 20. Given that y = 20, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 19 to t, which gives t = j + 24.\n2. Substitute j = v + 6 to t, which gives t = v + 30.\n3. Substitute v = s + 14 to t, which gives t = s + 44.\n4. Substitute s = b + 8 to t, which gives t = b + 52.\n5. Substitute b = y + 9 to t, which gives t = y + 61.\n6. Substitute y = 20 to t, which gives t = 81.\n\nThus, the final answer is t = \\boxed{81}.",
"index": 8431,
"question": "Suppose a collection of variables is related by the following definitions: d = f + 6; v = s + 14; s = b + 8; j = v + 6; w = x + 1; t = n + 5; n = j + 19; i = d + 11; x = y + 17; b = y + 9; u = w + 11; f = u + 10; y = 20. Given that y = 20, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 18", "b": "e + 4", "f": "b + 16", "r": "f + 11", "a": "r + 13", "z": "a + 4", "u": "t + 18", "l": "u + 19", "w": "l + 20", "x": "w + 17", "p": "x + 6", "h": "p + 18", "t": 20}, "premises": {"t": 20}, "target": "z"}, "answer": {"steps": [["a", "r + 13", "r + 17"], ["r", "f + 11", "f + 28"], ["f", "b + 16", "b + 44"], ["b", "e + 4", "e + 48"], ["e", "t + 18", "t + 66"], ["t", 20, "86"]], "target_var_name": "z", "target_value": 86, "value_dict": {"t": 20}, "is_reverse": true}} | 8,432 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = l + 20; r = f + 11; p = x + 6; z = a + 4; f = b + 16; x = w + 17; b = e + 4; t = 20; l = u + 19; a = r + 13; e = t + 18; u = t + 18; h = p + 18. Given that t = 20, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 13 to z, which gives z = r + 17.\n2. Substitute r = f + 11 to z, which gives z = f + 28.\n3. Substitute f = b + 16 to z, which gives z = b + 44.\n4. Substitute b = e + 4 to z, which gives z = e + 48.\n5. Substitute e = t + 18 to z, which gives z = t + 66.\n6. Substitute t = 20 to z, which gives z = 86.\n\nThus, the final answer is z = \\boxed{86}.",
"index": 8432,
"question": "Suppose a collection of variables is related by the following definitions: w = l + 20; r = f + 11; p = x + 6; z = a + 4; f = b + 16; x = w + 17; b = e + 4; t = 20; l = u + 19; a = r + 13; e = t + 18; u = t + 18; h = p + 18. Given that t = 20, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 11", "r": "g + 13", "v": "r + 5", "h": "v + 15", "d": "h + 12", "m": "d + 3", "e": "t + 15", "x": "e + 15", "y": "x + 11", "l": "y + 7", "o": "l + 18", "b": "o + 8", "t": 3}, "premises": {"t": 3}, "target": "m"}, "answer": {"steps": [["d", "h + 12", "h + 15"], ["h", "v + 15", "v + 30"], ["v", "r + 5", "r + 35"], ["r", "g + 13", "g + 48"], ["g", "t + 11", "t + 59"], ["t", 3, "62"]], "target_var_name": "m", "target_value": 62, "value_dict": {"t": 3}, "is_reverse": true}} | 8,433 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = o + 8; r = g + 13; v = r + 5; e = t + 15; h = v + 15; t = 3; y = x + 11; g = t + 11; l = y + 7; x = e + 15; m = d + 3; o = l + 18; d = h + 12. If t = 3, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 12 to m, which gives m = h + 15.\n2. Substitute h = v + 15 to m, which gives m = v + 30.\n3. Substitute v = r + 5 to m, which gives m = r + 35.\n4. Substitute r = g + 13 to m, which gives m = g + 48.\n5. Substitute g = t + 11 to m, which gives m = t + 59.\n6. Substitute t = 3 to m, which gives m = 62.\n\nThus, the final answer is m = \\boxed{62}.",
"index": 8433,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = o + 8; r = g + 13; v = r + 5; e = t + 15; h = v + 15; t = 3; y = x + 11; g = t + 11; l = y + 7; x = e + 15; m = d + 3; o = l + 18; d = h + 12. If t = 3, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 4", "j": "e + 1", "o": "j + 1", "d": "o + 14", "i": "d + 20", "n": "i + 11", "f": "u + 18", "m": "f + 13", "a": "m + 7", "v": "a + 11", "x": "v + 18", "l": "x + 4", "u": 10}, "premises": {"u": 10}, "target": "n"}, "answer": {"steps": [["i", "d + 20", "d + 31"], ["d", "o + 14", "o + 45"], ["o", "j + 1", "j + 46"], ["j", "e + 1", "e + 47"], ["e", "u + 4", "u + 51"], ["u", 10, "61"]], "target_var_name": "n", "target_value": 61, "value_dict": {"u": 10}, "is_reverse": true}} | 8,434 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = u + 18; m = f + 13; l = x + 4; u = 10; x = v + 18; i = d + 20; o = j + 1; v = a + 11; e = u + 4; d = o + 14; a = m + 7; n = i + 11; j = e + 1. If u = 10, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 20 to n, which gives n = d + 31.\n2. Substitute d = o + 14 to n, which gives n = o + 45.\n3. Substitute o = j + 1 to n, which gives n = j + 46.\n4. Substitute j = e + 1 to n, which gives n = e + 47.\n5. Substitute e = u + 4 to n, which gives n = u + 51.\n6. Substitute u = 10 to n, which gives n = 61.\n\nThus, the final answer is n = \\boxed{61}.",
"index": 8434,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = u + 18; m = f + 13; l = x + 4; u = 10; x = v + 18; i = d + 20; o = j + 1; v = a + 11; e = u + 4; d = o + 14; a = m + 7; n = i + 11; j = e + 1. If u = 10, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 15", "w": "f + 15", "v": "w + 16", "k": "v + 14", "t": "k + 5", "s": "t + 2", "z": "b + 9", "l": "z + 13", "u": "l + 2", "r": "u + 14", "h": "r + 16", "q": "h + 6", "b": 9}, "premises": {"b": 9}, "target": "s"}, "answer": {"steps": [["t", "k + 5", "k + 7"], ["k", "v + 14", "v + 21"], ["v", "w + 16", "w + 37"], ["w", "f + 15", "f + 52"], ["f", "b + 15", "b + 67"], ["b", 9, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"b": 9}, "is_reverse": true}} | 8,435 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = h + 6; w = f + 15; v = w + 16; z = b + 9; b = 9; t = k + 5; f = b + 15; k = v + 14; s = t + 2; l = z + 13; u = l + 2; r = u + 14; h = r + 16. Given that b = 9, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 5 to s, which gives s = k + 7.\n2. Substitute k = v + 14 to s, which gives s = v + 21.\n3. Substitute v = w + 16 to s, which gives s = w + 37.\n4. Substitute w = f + 15 to s, which gives s = f + 52.\n5. Substitute f = b + 15 to s, which gives s = b + 67.\n6. Substitute b = 9 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 8435,
"question": "Suppose a collection of variables is related by the following definitions: q = h + 6; w = f + 15; v = w + 16; z = b + 9; b = 9; t = k + 5; f = b + 15; k = v + 14; s = t + 2; l = z + 13; u = l + 2; r = u + 14; h = r + 16. Given that b = 9, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"b": "w + 2", "x": "b + 6", "k": "x + 3", "o": "k + 17", "e": "o + 19", "v": "e + 4", "t": "w + 9", "d": "t + 11", "z": "d + 8", "p": "z + 8", "u": "p + 12", "r": "u + 20", "w": 17}, "premises": {"w": 17}, "target": "v"}, "answer": {"steps": [["e", "o + 19", "o + 23"], ["o", "k + 17", "k + 40"], ["k", "x + 3", "x + 43"], ["x", "b + 6", "b + 49"], ["b", "w + 2", "w + 51"], ["w", 17, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"w": 17}, "is_reverse": true}} | 8,436 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = d + 8; x = b + 6; t = w + 9; o = k + 17; p = z + 8; d = t + 11; b = w + 2; k = x + 3; e = o + 19; w = 17; v = e + 4; u = p + 12; r = u + 20. If w = 17, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 19 to v, which gives v = o + 23.\n2. Substitute o = k + 17 to v, which gives v = k + 40.\n3. Substitute k = x + 3 to v, which gives v = x + 43.\n4. Substitute x = b + 6 to v, which gives v = b + 49.\n5. Substitute b = w + 2 to v, which gives v = w + 51.\n6. Substitute w = 17 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 8436,
"question": "Consider a system of variables where each variable is defined as follows: z = d + 8; x = b + 6; t = w + 9; o = k + 17; p = z + 8; d = t + 11; b = w + 2; k = x + 3; e = o + 19; w = 17; v = e + 4; u = p + 12; r = u + 20. If w = 17, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 11", "p": "v + 2", "z": "p + 6", "r": "z + 15", "b": "r + 3", "n": "b + 14", "f": "h + 15", "l": "f + 10", "t": "l + 20", "j": "t + 8", "m": "j + 15", "w": "m + 6", "h": 7}, "premises": {"h": 7}, "target": "n"}, "answer": {"steps": [["b", "r + 3", "r + 17"], ["r", "z + 15", "z + 32"], ["z", "p + 6", "p + 38"], ["p", "v + 2", "v + 40"], ["v", "h + 11", "h + 51"], ["h", 7, "58"]], "target_var_name": "n", "target_value": 58, "value_dict": {"h": 7}, "is_reverse": true}} | 8,437 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = l + 20; w = m + 6; l = f + 10; z = p + 6; j = t + 8; r = z + 15; h = 7; p = v + 2; n = b + 14; b = r + 3; f = h + 15; m = j + 15; v = h + 11. If h = 7, 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 b = r + 3 to n, which gives n = r + 17.\n2. Substitute r = z + 15 to n, which gives n = z + 32.\n3. Substitute z = p + 6 to n, which gives n = p + 38.\n4. Substitute p = v + 2 to n, which gives n = v + 40.\n5. Substitute v = h + 11 to n, which gives n = h + 51.\n6. Substitute h = 7 to n, which gives n = 58.\n\nThus, the final answer is n = \\boxed{58}.",
"index": 8437,
"question": "Consider a system of variables where each variable is defined as follows: t = l + 20; w = m + 6; l = f + 10; z = p + 6; j = t + 8; r = z + 15; h = 7; p = v + 2; n = b + 14; b = r + 3; f = h + 15; m = j + 15; v = h + 11. If h = 7, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 12", "v": "z + 4", "e": "v + 8", "o": "e + 8", "g": "o + 15", "b": "g + 11", "i": "y + 19", "r": "i + 16", "q": "r + 12", "a": "q + 20", "t": "a + 19", "j": "t + 12", "y": 4}, "premises": {"y": 4}, "target": "b"}, "answer": {"steps": [["g", "o + 15", "o + 26"], ["o", "e + 8", "e + 34"], ["e", "v + 8", "v + 42"], ["v", "z + 4", "z + 46"], ["z", "y + 12", "y + 58"], ["y", 4, "62"]], "target_var_name": "b", "target_value": 62, "value_dict": {"y": 4}, "is_reverse": true}} | 8,438 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = q + 20; i = y + 19; z = y + 12; t = a + 19; o = e + 8; j = t + 12; b = g + 11; g = o + 15; v = z + 4; y = 4; e = v + 8; q = r + 12; r = i + 16. If y = 4, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 15 to b, which gives b = o + 26.\n2. Substitute o = e + 8 to b, which gives b = e + 34.\n3. Substitute e = v + 8 to b, which gives b = v + 42.\n4. Substitute v = z + 4 to b, which gives b = z + 46.\n5. Substitute z = y + 12 to b, which gives b = y + 58.\n6. Substitute y = 4 to b, which gives b = 62.\n\nThus, the final answer is b = \\boxed{62}.",
"index": 8438,
"question": "Consider a system of variables where each variable is defined as follows: a = q + 20; i = y + 19; z = y + 12; t = a + 19; o = e + 8; j = t + 12; b = g + 11; g = o + 15; v = z + 4; y = 4; e = v + 8; q = r + 12; r = i + 16. If y = 4, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 20", "i": "b + 11", "q": "i + 19", "y": "q + 11", "g": "y + 10", "d": "g + 9", "e": "n + 14", "p": "e + 11", "z": "p + 19", "l": "z + 6", "j": "l + 6", "u": "j + 15", "n": 19}, "premises": {"n": 19}, "target": "d"}, "answer": {"steps": [["g", "y + 10", "y + 19"], ["y", "q + 11", "q + 30"], ["q", "i + 19", "i + 49"], ["i", "b + 11", "b + 60"], ["b", "n + 20", "n + 80"], ["n", 19, "99"]], "target_var_name": "d", "target_value": 99, "value_dict": {"n": 19}, "is_reverse": true}} | 8,439 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = q + 11; z = p + 19; u = j + 15; p = e + 11; l = z + 6; i = b + 11; b = n + 20; g = y + 10; j = l + 6; q = i + 19; n = 19; e = n + 14; d = g + 9. If n = 19, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 10 to d, which gives d = y + 19.\n2. Substitute y = q + 11 to d, which gives d = q + 30.\n3. Substitute q = i + 19 to d, which gives d = i + 49.\n4. Substitute i = b + 11 to d, which gives d = b + 60.\n5. Substitute b = n + 20 to d, which gives d = n + 80.\n6. Substitute n = 19 to d, which gives d = 99.\n\nThus, the final answer is d = \\boxed{99}.",
"index": 8439,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = q + 11; z = p + 19; u = j + 15; p = e + 11; l = z + 6; i = b + 11; b = n + 20; g = y + 10; j = l + 6; q = i + 19; n = 19; e = n + 14; d = g + 9. If n = 19, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"a": "e + 8", "j": "a + 9", "q": "j + 6", "k": "q + 15", "b": "k + 4", "u": "b + 10", "g": "e + 5", "y": "g + 6", "r": "y + 17", "t": "r + 3", "p": "t + 17", "v": "p + 13", "e": 15}, "premises": {"e": 15}, "target": "u"}, "answer": {"steps": [["b", "k + 4", "k + 14"], ["k", "q + 15", "q + 29"], ["q", "j + 6", "j + 35"], ["j", "a + 9", "a + 44"], ["a", "e + 8", "e + 52"], ["e", 15, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"e": 15}, "is_reverse": true}} | 8,440 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = e + 5; e = 15; b = k + 4; v = p + 13; y = g + 6; a = e + 8; q = j + 6; t = r + 3; r = y + 17; j = a + 9; u = b + 10; p = t + 17; k = q + 15. If e = 15, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 4 to u, which gives u = k + 14.\n2. Substitute k = q + 15 to u, which gives u = q + 29.\n3. Substitute q = j + 6 to u, which gives u = j + 35.\n4. Substitute j = a + 9 to u, which gives u = a + 44.\n5. Substitute a = e + 8 to u, which gives u = e + 52.\n6. Substitute e = 15 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 8440,
"question": "Consider a system of variables where each variable is defined as follows: g = e + 5; e = 15; b = k + 4; v = p + 13; y = g + 6; a = e + 8; q = j + 6; t = r + 3; r = y + 17; j = a + 9; u = b + 10; p = t + 17; k = q + 15. If e = 15, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"i": "k + 8", "r": "i + 17", "d": "r + 16", "c": "d + 14", "t": "c + 7", "q": "t + 5", "f": "k + 5", "p": "f + 18", "s": "p + 3", "g": "s + 14", "m": "g + 19", "u": "m + 15", "k": 3}, "premises": {"k": 3}, "target": "q"}, "answer": {"steps": [["t", "c + 7", "c + 12"], ["c", "d + 14", "d + 26"], ["d", "r + 16", "r + 42"], ["r", "i + 17", "i + 59"], ["i", "k + 8", "k + 67"], ["k", 3, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"k": 3}, "is_reverse": true}} | 8,441 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = s + 14; c = d + 14; r = i + 17; s = p + 3; k = 3; u = m + 15; q = t + 5; m = g + 19; t = c + 7; f = k + 5; d = r + 16; i = k + 8; p = f + 18. Given that k = 3, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 7 to q, which gives q = c + 12.\n2. Substitute c = d + 14 to q, which gives q = d + 26.\n3. Substitute d = r + 16 to q, which gives q = r + 42.\n4. Substitute r = i + 17 to q, which gives q = i + 59.\n5. Substitute i = k + 8 to q, which gives q = k + 67.\n6. Substitute k = 3 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 8441,
"question": "Suppose a collection of variables is related by the following definitions: g = s + 14; c = d + 14; r = i + 17; s = p + 3; k = 3; u = m + 15; q = t + 5; m = g + 19; t = c + 7; f = k + 5; d = r + 16; i = k + 8; p = f + 18. Given that k = 3, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 1", "f": "i + 3", "m": "f + 14", "c": "m + 17", "u": "c + 2", "d": "u + 14", "x": "o + 10", "y": "x + 5", "a": "y + 19", "h": "a + 11", "j": "h + 20", "s": "j + 20", "o": 5}, "premises": {"o": 5}, "target": "d"}, "answer": {"steps": [["u", "c + 2", "c + 16"], ["c", "m + 17", "m + 33"], ["m", "f + 14", "f + 47"], ["f", "i + 3", "i + 50"], ["i", "o + 1", "o + 51"], ["o", 5, "56"]], "target_var_name": "d", "target_value": 56, "value_dict": {"o": 5}, "is_reverse": true}} | 8,442 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = u + 14; i = o + 1; s = j + 20; m = f + 14; a = y + 19; f = i + 3; h = a + 11; j = h + 20; x = o + 10; o = 5; c = m + 17; u = c + 2; y = x + 5. If o = 5, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 2 to d, which gives d = c + 16.\n2. Substitute c = m + 17 to d, which gives d = m + 33.\n3. Substitute m = f + 14 to d, which gives d = f + 47.\n4. Substitute f = i + 3 to d, which gives d = i + 50.\n5. Substitute i = o + 1 to d, which gives d = o + 51.\n6. Substitute o = 5 to d, which gives d = 56.\n\nThus, the final answer is d = \\boxed{56}.",
"index": 8442,
"question": "Consider a system of variables where each variable is defined as follows: d = u + 14; i = o + 1; s = j + 20; m = f + 14; a = y + 19; f = i + 3; h = a + 11; j = h + 20; x = o + 10; o = 5; c = m + 17; u = c + 2; y = x + 5. If o = 5, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 4", "k": "l + 3", "c": "k + 16", "z": "c + 19", "u": "z + 20", "w": "u + 8", "t": "q + 18", "r": "t + 9", "s": "r + 6", "o": "s + 17", "y": "o + 11", "n": "y + 16", "q": 6}, "premises": {"q": 6}, "target": "w"}, "answer": {"steps": [["u", "z + 20", "z + 28"], ["z", "c + 19", "c + 47"], ["c", "k + 16", "k + 63"], ["k", "l + 3", "l + 66"], ["l", "q + 4", "q + 70"], ["q", 6, "76"]], "target_var_name": "w", "target_value": 76, "value_dict": {"q": 6}, "is_reverse": true}} | 8,443 | 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 = s + 17; r = t + 9; c = k + 16; y = o + 11; s = r + 6; q = 6; k = l + 3; t = q + 18; u = z + 20; z = c + 19; l = q + 4; w = u + 8; n = y + 16. If q = 6, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 20 to w, which gives w = z + 28.\n2. Substitute z = c + 19 to w, which gives w = c + 47.\n3. Substitute c = k + 16 to w, which gives w = k + 63.\n4. Substitute k = l + 3 to w, which gives w = l + 66.\n5. Substitute l = q + 4 to w, which gives w = q + 70.\n6. Substitute q = 6 to w, which gives w = 76.\n\nThus, the final answer is w = \\boxed{76}.",
"index": 8443,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = s + 17; r = t + 9; c = k + 16; y = o + 11; s = r + 6; q = 6; k = l + 3; t = q + 18; u = z + 20; z = c + 19; l = q + 4; w = u + 8; n = y + 16. If q = 6, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"z": "p + 1", "a": "z + 9", "g": "a + 4", "h": "g + 8", "j": "h + 8", "m": "j + 5", "s": "p + 20", "v": "s + 15", "k": "v + 9", "r": "k + 12", "e": "r + 2", "f": "e + 14", "p": 4}, "premises": {"p": 4}, "target": "m"}, "answer": {"steps": [["j", "h + 8", "h + 13"], ["h", "g + 8", "g + 21"], ["g", "a + 4", "a + 25"], ["a", "z + 9", "z + 34"], ["z", "p + 1", "p + 35"], ["p", 4, "39"]], "target_var_name": "m", "target_value": 39, "value_dict": {"p": 4}, "is_reverse": true}} | 8,444 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = 4; z = p + 1; g = a + 4; j = h + 8; m = j + 5; f = e + 14; h = g + 8; k = v + 9; a = z + 9; s = p + 20; r = k + 12; e = r + 2; v = s + 15. If p = 4, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 39,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 8 to m, which gives m = h + 13.\n2. Substitute h = g + 8 to m, which gives m = g + 21.\n3. Substitute g = a + 4 to m, which gives m = a + 25.\n4. Substitute a = z + 9 to m, which gives m = z + 34.\n5. Substitute z = p + 1 to m, which gives m = p + 35.\n6. Substitute p = 4 to m, which gives m = 39.\n\nThus, the final answer is m = \\boxed{39}.",
"index": 8444,
"question": "Consider a system of variables where each variable is defined as follows: p = 4; z = p + 1; g = a + 4; j = h + 8; m = j + 5; f = e + 14; h = g + 8; k = v + 9; a = z + 9; s = p + 20; r = k + 12; e = r + 2; v = s + 15. If p = 4, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 11", "x": "f + 17", "l": "x + 12", "c": "l + 19", "q": "c + 4", "u": "q + 6", "b": "j + 17", "r": "b + 15", "o": "r + 16", "g": "o + 15", "y": "g + 2", "m": "y + 11", "j": 15}, "premises": {"j": 15}, "target": "u"}, "answer": {"steps": [["q", "c + 4", "c + 10"], ["c", "l + 19", "l + 29"], ["l", "x + 12", "x + 41"], ["x", "f + 17", "f + 58"], ["f", "j + 11", "j + 69"], ["j", 15, "84"]], "target_var_name": "u", "target_value": 84, "value_dict": {"j": 15}, "is_reverse": true}} | 8,445 | 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 = q + 6; m = y + 11; y = g + 2; c = l + 19; b = j + 17; x = f + 17; r = b + 15; o = r + 16; f = j + 11; q = c + 4; l = x + 12; j = 15; g = o + 15. If j = 15, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 4 to u, which gives u = c + 10.\n2. Substitute c = l + 19 to u, which gives u = l + 29.\n3. Substitute l = x + 12 to u, which gives u = x + 41.\n4. Substitute x = f + 17 to u, which gives u = f + 58.\n5. Substitute f = j + 11 to u, which gives u = j + 69.\n6. Substitute j = 15 to u, which gives u = 84.\n\nThus, the final answer is u = \\boxed{84}.",
"index": 8445,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 6; m = y + 11; y = g + 2; c = l + 19; b = j + 17; x = f + 17; r = b + 15; o = r + 16; f = j + 11; q = c + 4; l = x + 12; j = 15; g = o + 15. If j = 15, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 7", "c": "g + 3", "i": "c + 8", "h": "i + 13", "l": "h + 4", "j": "l + 4", "u": "z + 9", "m": "u + 18", "k": "m + 5", "v": "k + 2", "d": "v + 3", "t": "d + 16", "z": 20}, "premises": {"z": 20}, "target": "j"}, "answer": {"steps": [["l", "h + 4", "h + 8"], ["h", "i + 13", "i + 21"], ["i", "c + 8", "c + 29"], ["c", "g + 3", "g + 32"], ["g", "z + 7", "z + 39"], ["z", 20, "59"]], "target_var_name": "j", "target_value": 59, "value_dict": {"z": 20}, "is_reverse": true}} | 8,446 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = g + 3; d = v + 3; l = h + 4; i = c + 8; z = 20; j = l + 4; v = k + 2; g = z + 7; k = m + 5; t = d + 16; m = u + 18; h = i + 13; u = z + 9. Given that z = 20, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 4 to j, which gives j = h + 8.\n2. Substitute h = i + 13 to j, which gives j = i + 21.\n3. Substitute i = c + 8 to j, which gives j = c + 29.\n4. Substitute c = g + 3 to j, which gives j = g + 32.\n5. Substitute g = z + 7 to j, which gives j = z + 39.\n6. Substitute z = 20 to j, which gives j = 59.\n\nThus, the final answer is j = \\boxed{59}.",
"index": 8446,
"question": "Suppose a collection of variables is related by the following definitions: c = g + 3; d = v + 3; l = h + 4; i = c + 8; z = 20; j = l + 4; v = k + 2; g = z + 7; k = m + 5; t = d + 16; m = u + 18; h = i + 13; u = z + 9. Given that z = 20, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 6", "s": "t + 13", "h": "s + 20", "v": "h + 1", "r": "v + 15", "z": "r + 15", "i": "x + 9", "g": "i + 14", "w": "g + 7", "m": "w + 12", "q": "m + 14", "f": "q + 11", "x": 9}, "premises": {"x": 9}, "target": "z"}, "answer": {"steps": [["r", "v + 15", "v + 30"], ["v", "h + 1", "h + 31"], ["h", "s + 20", "s + 51"], ["s", "t + 13", "t + 64"], ["t", "x + 6", "x + 70"], ["x", 9, "79"]], "target_var_name": "z", "target_value": 79, "value_dict": {"x": 9}, "is_reverse": true}} | 8,447 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = q + 11; r = v + 15; m = w + 12; g = i + 14; z = r + 15; t = x + 6; q = m + 14; s = t + 13; x = 9; v = h + 1; w = g + 7; h = s + 20; i = x + 9. If x = 9, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 15 to z, which gives z = v + 30.\n2. Substitute v = h + 1 to z, which gives z = h + 31.\n3. Substitute h = s + 20 to z, which gives z = s + 51.\n4. Substitute s = t + 13 to z, which gives z = t + 64.\n5. Substitute t = x + 6 to z, which gives z = x + 70.\n6. Substitute x = 9 to z, which gives z = 79.\n\nThus, the final answer is z = \\boxed{79}.",
"index": 8447,
"question": "Consider a system of variables where each variable is defined as follows: f = q + 11; r = v + 15; m = w + 12; g = i + 14; z = r + 15; t = x + 6; q = m + 14; s = t + 13; x = 9; v = h + 1; w = g + 7; h = s + 20; i = x + 9. If x = 9, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 4", "t": "n + 15", "p": "t + 8", "o": "p + 19", "x": "o + 9", "z": "x + 15", "b": "q + 5", "e": "b + 7", "g": "e + 14", "j": "g + 9", "k": "j + 14", "a": "k + 10", "q": 5}, "premises": {"q": 5}, "target": "z"}, "answer": {"steps": [["x", "o + 9", "o + 24"], ["o", "p + 19", "p + 43"], ["p", "t + 8", "t + 51"], ["t", "n + 15", "n + 66"], ["n", "q + 4", "q + 70"], ["q", 5, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"q": 5}, "is_reverse": true}} | 8,448 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = n + 15; a = k + 10; g = e + 14; e = b + 7; b = q + 5; k = j + 14; j = g + 9; z = x + 15; p = t + 8; n = q + 4; x = o + 9; q = 5; o = p + 19. Given that q = 5, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 9 to z, which gives z = o + 24.\n2. Substitute o = p + 19 to z, which gives z = p + 43.\n3. Substitute p = t + 8 to z, which gives z = t + 51.\n4. Substitute t = n + 15 to z, which gives z = n + 66.\n5. Substitute n = q + 4 to z, which gives z = q + 70.\n6. Substitute q = 5 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 8448,
"question": "Suppose a collection of variables is related by the following definitions: t = n + 15; a = k + 10; g = e + 14; e = b + 7; b = q + 5; k = j + 14; j = g + 9; z = x + 15; p = t + 8; n = q + 4; x = o + 9; q = 5; o = p + 19. Given that q = 5, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 15", "k": "o + 1", "d": "k + 14", "r": "d + 18", "z": "r + 11", "l": "z + 18", "f": "t + 11", "w": "f + 3", "j": "w + 18", "u": "j + 1", "c": "u + 1", "i": "c + 5", "t": 20}, "premises": {"t": 20}, "target": "l"}, "answer": {"steps": [["z", "r + 11", "r + 29"], ["r", "d + 18", "d + 47"], ["d", "k + 14", "k + 61"], ["k", "o + 1", "o + 62"], ["o", "t + 15", "t + 77"], ["t", 20, "97"]], "target_var_name": "l", "target_value": 97, "value_dict": {"t": 20}, "is_reverse": true}} | 8,449 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = z + 18; o = t + 15; k = o + 1; i = c + 5; j = w + 18; t = 20; d = k + 14; r = d + 18; w = f + 3; c = u + 1; z = r + 11; u = j + 1; f = t + 11. If t = 20, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 11 to l, which gives l = r + 29.\n2. Substitute r = d + 18 to l, which gives l = d + 47.\n3. Substitute d = k + 14 to l, which gives l = k + 61.\n4. Substitute k = o + 1 to l, which gives l = o + 62.\n5. Substitute o = t + 15 to l, which gives l = t + 77.\n6. Substitute t = 20 to l, which gives l = 97.\n\nThus, the final answer is l = \\boxed{97}.",
"index": 8449,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = z + 18; o = t + 15; k = o + 1; i = c + 5; j = w + 18; t = 20; d = k + 14; r = d + 18; w = f + 3; c = u + 1; z = r + 11; u = j + 1; f = t + 11. If t = 20, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 9", "p": "z + 9", "u": "p + 18", "x": "u + 11", "g": "x + 16", "n": "g + 9", "y": "v + 20", "b": "y + 11", "t": "b + 7", "h": "t + 2", "m": "h + 2", "f": "m + 1", "v": 8}, "premises": {"v": 8}, "target": "n"}, "answer": {"steps": [["g", "x + 16", "x + 25"], ["x", "u + 11", "u + 36"], ["u", "p + 18", "p + 54"], ["p", "z + 9", "z + 63"], ["z", "v + 9", "v + 72"], ["v", 8, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"v": 8}, "is_reverse": true}} | 8,450 | 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 = b + 7; g = x + 16; y = v + 20; b = y + 11; u = p + 18; x = u + 11; v = 8; h = t + 2; m = h + 2; z = v + 9; n = g + 9; f = m + 1; p = z + 9. If v = 8, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 16 to n, which gives n = x + 25.\n2. Substitute x = u + 11 to n, which gives n = u + 36.\n3. Substitute u = p + 18 to n, which gives n = p + 54.\n4. Substitute p = z + 9 to n, which gives n = z + 63.\n5. Substitute z = v + 9 to n, which gives n = v + 72.\n6. Substitute v = 8 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 8450,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = b + 7; g = x + 16; y = v + 20; b = y + 11; u = p + 18; x = u + 11; v = 8; h = t + 2; m = h + 2; z = v + 9; n = g + 9; f = m + 1; p = z + 9. If v = 8, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"u": "a + 10", "n": "u + 19", "h": "n + 19", "q": "h + 17", "r": "q + 12", "m": "r + 10", "g": "a + 20", "y": "g + 12", "e": "y + 20", "o": "e + 3", "p": "o + 10", "z": "p + 16", "a": 7}, "premises": {"a": 7}, "target": "m"}, "answer": {"steps": [["r", "q + 12", "q + 22"], ["q", "h + 17", "h + 39"], ["h", "n + 19", "n + 58"], ["n", "u + 19", "u + 77"], ["u", "a + 10", "a + 87"], ["a", 7, "94"]], "target_var_name": "m", "target_value": 94, "value_dict": {"a": 7}, "is_reverse": true}} | 8,451 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = n + 19; n = u + 19; q = h + 17; z = p + 16; u = a + 10; g = a + 20; y = g + 12; o = e + 3; a = 7; p = o + 10; r = q + 12; e = y + 20; m = r + 10. If a = 7, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 12 to m, which gives m = q + 22.\n2. Substitute q = h + 17 to m, which gives m = h + 39.\n3. Substitute h = n + 19 to m, which gives m = n + 58.\n4. Substitute n = u + 19 to m, which gives m = u + 77.\n5. Substitute u = a + 10 to m, which gives m = a + 87.\n6. Substitute a = 7 to m, which gives m = 94.\n\nThus, the final answer is m = \\boxed{94}.",
"index": 8451,
"question": "Consider a system of variables where each variable is defined as follows: h = n + 19; n = u + 19; q = h + 17; z = p + 16; u = a + 10; g = a + 20; y = g + 12; o = e + 3; a = 7; p = o + 10; r = q + 12; e = y + 20; m = r + 10. If a = 7, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 14", "o": "u + 18", "d": "o + 19", "s": "d + 5", "j": "s + 11", "z": "j + 15", "x": "m + 8", "h": "x + 6", "r": "h + 2", "c": "r + 16", "n": "c + 13", "w": "n + 11", "m": 17}, "premises": {"m": 17}, "target": "z"}, "answer": {"steps": [["j", "s + 11", "s + 26"], ["s", "d + 5", "d + 31"], ["d", "o + 19", "o + 50"], ["o", "u + 18", "u + 68"], ["u", "m + 14", "m + 82"], ["m", 17, "99"]], "target_var_name": "z", "target_value": 99, "value_dict": {"m": 17}, "is_reverse": true}} | 8,452 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = r + 16; w = n + 11; z = j + 15; r = h + 2; s = d + 5; m = 17; o = u + 18; x = m + 8; u = m + 14; j = s + 11; h = x + 6; n = c + 13; d = o + 19. If m = 17, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 11 to z, which gives z = s + 26.\n2. Substitute s = d + 5 to z, which gives z = d + 31.\n3. Substitute d = o + 19 to z, which gives z = o + 50.\n4. Substitute o = u + 18 to z, which gives z = u + 68.\n5. Substitute u = m + 14 to z, which gives z = m + 82.\n6. Substitute m = 17 to z, which gives z = 99.\n\nThus, the final answer is z = \\boxed{99}.",
"index": 8452,
"question": "Consider a system of variables where each variable is defined as follows: c = r + 16; w = n + 11; z = j + 15; r = h + 2; s = d + 5; m = 17; o = u + 18; x = m + 8; u = m + 14; j = s + 11; h = x + 6; n = c + 13; d = o + 19. If m = 17, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"w": "f + 8", "n": "w + 13", "t": "n + 18", "m": "t + 17", "k": "m + 5", "r": "k + 19", "e": "f + 11", "o": "e + 4", "y": "o + 10", "g": "y + 1", "x": "g + 10", "s": "x + 12", "f": 20}, "premises": {"f": 20}, "target": "r"}, "answer": {"steps": [["k", "m + 5", "m + 24"], ["m", "t + 17", "t + 41"], ["t", "n + 18", "n + 59"], ["n", "w + 13", "w + 72"], ["w", "f + 8", "f + 80"], ["f", 20, "100"]], "target_var_name": "r", "target_value": 100, "value_dict": {"f": 20}, "is_reverse": true}} | 8,453 | 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 = y + 1; s = x + 12; t = n + 18; m = t + 17; e = f + 11; n = w + 13; x = g + 10; y = o + 10; f = 20; r = k + 19; k = m + 5; o = e + 4; w = f + 8. If f = 20, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 5 to r, which gives r = m + 24.\n2. Substitute m = t + 17 to r, which gives r = t + 41.\n3. Substitute t = n + 18 to r, which gives r = n + 59.\n4. Substitute n = w + 13 to r, which gives r = w + 72.\n5. Substitute w = f + 8 to r, which gives r = f + 80.\n6. Substitute f = 20 to r, which gives r = 100.\n\nThus, the final answer is r = \\boxed{100}.",
"index": 8453,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = y + 1; s = x + 12; t = n + 18; m = t + 17; e = f + 11; n = w + 13; x = g + 10; y = o + 10; f = 20; r = k + 19; k = m + 5; o = e + 4; w = f + 8. If f = 20, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 5", "x": "k + 6", "q": "x + 12", "m": "q + 18", "o": "m + 3", "i": "o + 12", "e": "z + 15", "a": "e + 13", "t": "a + 20", "v": "t + 16", "c": "v + 19", "f": "c + 1", "z": 19}, "premises": {"z": 19}, "target": "i"}, "answer": {"steps": [["o", "m + 3", "m + 15"], ["m", "q + 18", "q + 33"], ["q", "x + 12", "x + 45"], ["x", "k + 6", "k + 51"], ["k", "z + 5", "z + 56"], ["z", 19, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"z": 19}, "is_reverse": true}} | 8,454 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = m + 3; c = v + 19; x = k + 6; e = z + 15; k = z + 5; m = q + 18; i = o + 12; q = x + 12; z = 19; f = c + 1; v = t + 16; t = a + 20; a = e + 13. If z = 19, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 3 to i, which gives i = m + 15.\n2. Substitute m = q + 18 to i, which gives i = q + 33.\n3. Substitute q = x + 12 to i, which gives i = x + 45.\n4. Substitute x = k + 6 to i, which gives i = k + 51.\n5. Substitute k = z + 5 to i, which gives i = z + 56.\n6. Substitute z = 19 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 8454,
"question": "Consider a system of variables where each variable is defined as follows: o = m + 3; c = v + 19; x = k + 6; e = z + 15; k = z + 5; m = q + 18; i = o + 12; q = x + 12; z = 19; f = c + 1; v = t + 16; t = a + 20; a = e + 13. If z = 19, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 18", "s": "g + 20", "w": "s + 14", "l": "w + 11", "v": "l + 17", "m": "v + 4", "a": "o + 1", "i": "a + 7", "z": "i + 12", "h": "z + 2", "p": "h + 20", "k": "p + 8", "o": 5}, "premises": {"o": 5}, "target": "m"}, "answer": {"steps": [["v", "l + 17", "l + 21"], ["l", "w + 11", "w + 32"], ["w", "s + 14", "s + 46"], ["s", "g + 20", "g + 66"], ["g", "o + 18", "o + 84"], ["o", 5, "89"]], "target_var_name": "m", "target_value": 89, "value_dict": {"o": 5}, "is_reverse": true}} | 8,455 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = h + 20; w = s + 14; g = o + 18; o = 5; z = i + 12; h = z + 2; s = g + 20; a = o + 1; i = a + 7; l = w + 11; v = l + 17; k = p + 8; m = v + 4. If o = 5, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 17 to m, which gives m = l + 21.\n2. Substitute l = w + 11 to m, which gives m = w + 32.\n3. Substitute w = s + 14 to m, which gives m = s + 46.\n4. Substitute s = g + 20 to m, which gives m = g + 66.\n5. Substitute g = o + 18 to m, which gives m = o + 84.\n6. Substitute o = 5 to m, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 8455,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = h + 20; w = s + 14; g = o + 18; o = 5; z = i + 12; h = z + 2; s = g + 20; a = o + 1; i = a + 7; l = w + 11; v = l + 17; k = p + 8; m = v + 4. If o = 5, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 6", "h": "m + 19", "o": "h + 5", "p": "o + 4", "l": "p + 5", "t": "l + 6", "a": "b + 15", "v": "a + 2", "s": "v + 9", "x": "s + 20", "z": "x + 17", "d": "z + 20", "b": 10}, "premises": {"b": 10}, "target": "t"}, "answer": {"steps": [["l", "p + 5", "p + 11"], ["p", "o + 4", "o + 15"], ["o", "h + 5", "h + 20"], ["h", "m + 19", "m + 39"], ["m", "b + 6", "b + 45"], ["b", 10, "55"]], "target_var_name": "t", "target_value": 55, "value_dict": {"b": 10}, "is_reverse": true}} | 8,456 | 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 = h + 5; d = z + 20; v = a + 2; x = s + 20; a = b + 15; p = o + 4; s = v + 9; t = l + 6; m = b + 6; l = p + 5; h = m + 19; z = x + 17; b = 10. If b = 10, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 5 to t, which gives t = p + 11.\n2. Substitute p = o + 4 to t, which gives t = o + 15.\n3. Substitute o = h + 5 to t, which gives t = h + 20.\n4. Substitute h = m + 19 to t, which gives t = m + 39.\n5. Substitute m = b + 6 to t, which gives t = b + 45.\n6. Substitute b = 10 to t, which gives t = 55.\n\nThus, the final answer is t = \\boxed{55}.",
"index": 8456,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 5; d = z + 20; v = a + 2; x = s + 20; a = b + 15; p = o + 4; s = v + 9; t = l + 6; m = b + 6; l = p + 5; h = m + 19; z = x + 17; b = 10. If b = 10, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"u": "g + 2", "b": "u + 2", "q": "b + 2", "w": "q + 5", "a": "w + 12", "n": "a + 17", "e": "g + 9", "t": "e + 1", "m": "t + 10", "p": "m + 6", "k": "p + 1", "x": "k + 19", "g": 10}, "premises": {"g": 10}, "target": "n"}, "answer": {"steps": [["a", "w + 12", "w + 29"], ["w", "q + 5", "q + 34"], ["q", "b + 2", "b + 36"], ["b", "u + 2", "u + 38"], ["u", "g + 2", "g + 40"], ["g", 10, "50"]], "target_var_name": "n", "target_value": 50, "value_dict": {"g": 10}, "is_reverse": true}} | 8,457 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = k + 19; b = u + 2; a = w + 12; t = e + 1; k = p + 1; n = a + 17; e = g + 9; u = g + 2; w = q + 5; m = t + 10; p = m + 6; g = 10; q = b + 2. Given that g = 10, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 12 to n, which gives n = w + 29.\n2. Substitute w = q + 5 to n, which gives n = q + 34.\n3. Substitute q = b + 2 to n, which gives n = b + 36.\n4. Substitute b = u + 2 to n, which gives n = u + 38.\n5. Substitute u = g + 2 to n, which gives n = g + 40.\n6. Substitute g = 10 to n, which gives n = 50.\n\nThus, the final answer is n = \\boxed{50}.",
"index": 8457,
"question": "Suppose a collection of variables is related by the following definitions: x = k + 19; b = u + 2; a = w + 12; t = e + 1; k = p + 1; n = a + 17; e = g + 9; u = g + 2; w = q + 5; m = t + 10; p = m + 6; g = 10; q = b + 2. Given that g = 10, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 15", "t": "h + 4", "y": "t + 6", "e": "y + 2", "v": "e + 13", "l": "v + 19", "s": "x + 15", "q": "s + 15", "a": "q + 12", "i": "a + 8", "g": "i + 14", "r": "g + 16", "x": 15}, "premises": {"x": 15}, "target": "l"}, "answer": {"steps": [["v", "e + 13", "e + 32"], ["e", "y + 2", "y + 34"], ["y", "t + 6", "t + 40"], ["t", "h + 4", "h + 44"], ["h", "x + 15", "x + 59"], ["x", 15, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"x": 15}, "is_reverse": true}} | 8,458 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = h + 4; s = x + 15; r = g + 16; a = q + 12; e = y + 2; v = e + 13; h = x + 15; l = v + 19; y = t + 6; x = 15; i = a + 8; g = i + 14; q = s + 15. Given that x = 15, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 13 to l, which gives l = e + 32.\n2. Substitute e = y + 2 to l, which gives l = y + 34.\n3. Substitute y = t + 6 to l, which gives l = t + 40.\n4. Substitute t = h + 4 to l, which gives l = h + 44.\n5. Substitute h = x + 15 to l, which gives l = x + 59.\n6. Substitute x = 15 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 8458,
"question": "Suppose a collection of variables is related by the following definitions: t = h + 4; s = x + 15; r = g + 16; a = q + 12; e = y + 2; v = e + 13; h = x + 15; l = v + 19; y = t + 6; x = 15; i = a + 8; g = i + 14; q = s + 15. Given that x = 15, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 5", "f": "s + 9", "u": "f + 14", "n": "u + 15", "e": "n + 3", "k": "e + 12", "q": "l + 16", "h": "q + 3", "t": "h + 19", "c": "t + 15", "v": "c + 6", "j": "v + 17", "l": 17}, "premises": {"l": 17}, "target": "k"}, "answer": {"steps": [["e", "n + 3", "n + 15"], ["n", "u + 15", "u + 30"], ["u", "f + 14", "f + 44"], ["f", "s + 9", "s + 53"], ["s", "l + 5", "l + 58"], ["l", 17, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"l": 17}, "is_reverse": true}} | 8,459 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = l + 16; k = e + 12; l = 17; v = c + 6; n = u + 15; u = f + 14; s = l + 5; t = h + 19; e = n + 3; f = s + 9; h = q + 3; c = t + 15; j = v + 17. If l = 17, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 3 to k, which gives k = n + 15.\n2. Substitute n = u + 15 to k, which gives k = u + 30.\n3. Substitute u = f + 14 to k, which gives k = f + 44.\n4. Substitute f = s + 9 to k, which gives k = s + 53.\n5. Substitute s = l + 5 to k, which gives k = l + 58.\n6. Substitute l = 17 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 8459,
"question": "Consider a system of variables where each variable is defined as follows: q = l + 16; k = e + 12; l = 17; v = c + 6; n = u + 15; u = f + 14; s = l + 5; t = h + 19; e = n + 3; f = s + 9; h = q + 3; c = t + 15; j = v + 17. If l = 17, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 7", "g": "p + 8", "k": "g + 8", "s": "k + 7", "v": "s + 8", "b": "v + 19", "m": "e + 5", "i": "m + 14", "a": "i + 8", "h": "a + 5", "l": "h + 18", "j": "l + 11", "e": 3}, "premises": {"e": 3}, "target": "b"}, "answer": {"steps": [["v", "s + 8", "s + 27"], ["s", "k + 7", "k + 34"], ["k", "g + 8", "g + 42"], ["g", "p + 8", "p + 50"], ["p", "e + 7", "e + 57"], ["e", 3, "60"]], "target_var_name": "b", "target_value": 60, "value_dict": {"e": 3}, "is_reverse": true}} | 8,460 | 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 = e + 5; a = i + 8; k = g + 8; i = m + 14; l = h + 18; p = e + 7; j = l + 11; e = 3; g = p + 8; b = v + 19; s = k + 7; v = s + 8; h = a + 5. If e = 3, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 8 to b, which gives b = s + 27.\n2. Substitute s = k + 7 to b, which gives b = k + 34.\n3. Substitute k = g + 8 to b, which gives b = g + 42.\n4. Substitute g = p + 8 to b, which gives b = p + 50.\n5. Substitute p = e + 7 to b, which gives b = e + 57.\n6. Substitute e = 3 to b, which gives b = 60.\n\nThus, the final answer is b = \\boxed{60}.",
"index": 8460,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 5; a = i + 8; k = g + 8; i = m + 14; l = h + 18; p = e + 7; j = l + 11; e = 3; g = p + 8; b = v + 19; s = k + 7; v = s + 8; h = a + 5. If e = 3, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 15", "m": "d + 7", "o": "m + 18", "v": "o + 20", "z": "v + 19", "l": "z + 4", "s": "i + 9", "h": "s + 17", "r": "h + 5", "t": "r + 10", "e": "t + 5", "q": "e + 18", "i": 20}, "premises": {"i": 20}, "target": "l"}, "answer": {"steps": [["z", "v + 19", "v + 23"], ["v", "o + 20", "o + 43"], ["o", "m + 18", "m + 61"], ["m", "d + 7", "d + 68"], ["d", "i + 15", "i + 83"], ["i", 20, "103"]], "target_var_name": "l", "target_value": 103, "value_dict": {"i": 20}, "is_reverse": true}} | 8,461 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = m + 18; i = 20; t = r + 10; e = t + 5; d = i + 15; q = e + 18; h = s + 17; m = d + 7; r = h + 5; v = o + 20; z = v + 19; l = z + 4; s = i + 9. Given that i = 20, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 19 to l, which gives l = v + 23.\n2. Substitute v = o + 20 to l, which gives l = o + 43.\n3. Substitute o = m + 18 to l, which gives l = m + 61.\n4. Substitute m = d + 7 to l, which gives l = d + 68.\n5. Substitute d = i + 15 to l, which gives l = i + 83.\n6. Substitute i = 20 to l, which gives l = 103.\n\nThus, the final answer is l = \\boxed{103}.",
"index": 8461,
"question": "Suppose a collection of variables is related by the following definitions: o = m + 18; i = 20; t = r + 10; e = t + 5; d = i + 15; q = e + 18; h = s + 17; m = d + 7; r = h + 5; v = o + 20; z = v + 19; l = z + 4; s = i + 9. Given that i = 20, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"d": "u + 8", "e": "d + 9", "k": "e + 16", "n": "k + 10", "w": "n + 18", "l": "w + 15", "q": "u + 1", "j": "q + 16", "x": "j + 5", "r": "x + 8", "p": "r + 12", "y": "p + 18", "u": 11}, "premises": {"u": 11}, "target": "l"}, "answer": {"steps": [["w", "n + 18", "n + 33"], ["n", "k + 10", "k + 43"], ["k", "e + 16", "e + 59"], ["e", "d + 9", "d + 68"], ["d", "u + 8", "u + 76"], ["u", 11, "87"]], "target_var_name": "l", "target_value": 87, "value_dict": {"u": 11}, "is_reverse": true}} | 8,462 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 16; d = u + 8; q = u + 1; j = q + 16; p = r + 12; r = x + 8; e = d + 9; y = p + 18; w = n + 18; x = j + 5; n = k + 10; l = w + 15; u = 11. If u = 11, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 18 to l, which gives l = n + 33.\n2. Substitute n = k + 10 to l, which gives l = k + 43.\n3. Substitute k = e + 16 to l, which gives l = e + 59.\n4. Substitute e = d + 9 to l, which gives l = d + 68.\n5. Substitute d = u + 8 to l, which gives l = u + 76.\n6. Substitute u = 11 to l, which gives l = 87.\n\nThus, the final answer is l = \\boxed{87}.",
"index": 8462,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 16; d = u + 8; q = u + 1; j = q + 16; p = r + 12; r = x + 8; e = d + 9; y = p + 18; w = n + 18; x = j + 5; n = k + 10; l = w + 15; u = 11. If u = 11, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 20", "l": "w + 9", "i": "l + 14", "p": "i + 8", "c": "p + 17", "b": "c + 2", "e": "s + 12", "h": "e + 1", "r": "h + 12", "m": "r + 3", "d": "m + 16", "u": "d + 19", "s": 17}, "premises": {"s": 17}, "target": "b"}, "answer": {"steps": [["c", "p + 17", "p + 19"], ["p", "i + 8", "i + 27"], ["i", "l + 14", "l + 41"], ["l", "w + 9", "w + 50"], ["w", "s + 20", "s + 70"], ["s", 17, "87"]], "target_var_name": "b", "target_value": 87, "value_dict": {"s": 17}, "is_reverse": true}} | 8,463 | 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 + 19; l = w + 9; p = i + 8; d = m + 16; s = 17; i = l + 14; r = h + 12; c = p + 17; b = c + 2; m = r + 3; w = s + 20; h = e + 1; e = s + 12. If s = 17, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 17 to b, which gives b = p + 19.\n2. Substitute p = i + 8 to b, which gives b = i + 27.\n3. Substitute i = l + 14 to b, which gives b = l + 41.\n4. Substitute l = w + 9 to b, which gives b = w + 50.\n5. Substitute w = s + 20 to b, which gives b = s + 70.\n6. Substitute s = 17 to b, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 8463,
"question": "Consider a system of variables where each variable is defined as follows: u = d + 19; l = w + 9; p = i + 8; d = m + 16; s = 17; i = l + 14; r = h + 12; c = p + 17; b = c + 2; m = r + 3; w = s + 20; h = e + 1; e = s + 12. If s = 17, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 19", "u": "d + 17", "j": "u + 8", "h": "j + 7", "o": "h + 10", "a": "o + 20", "g": "f + 1", "p": "g + 20", "l": "p + 17", "r": "l + 16", "w": "r + 2", "b": "w + 8", "f": 6}, "premises": {"f": 6}, "target": "a"}, "answer": {"steps": [["o", "h + 10", "h + 30"], ["h", "j + 7", "j + 37"], ["j", "u + 8", "u + 45"], ["u", "d + 17", "d + 62"], ["d", "f + 19", "f + 81"], ["f", 6, "87"]], "target_var_name": "a", "target_value": 87, "value_dict": {"f": 6}, "is_reverse": true}} | 8,464 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = j + 7; p = g + 20; b = w + 8; r = l + 16; o = h + 10; f = 6; d = f + 19; j = u + 8; w = r + 2; u = d + 17; a = o + 20; g = f + 1; l = p + 17. Given that f = 6, 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 o = h + 10 to a, which gives a = h + 30.\n2. Substitute h = j + 7 to a, which gives a = j + 37.\n3. Substitute j = u + 8 to a, which gives a = u + 45.\n4. Substitute u = d + 17 to a, which gives a = d + 62.\n5. Substitute d = f + 19 to a, which gives a = f + 81.\n6. Substitute f = 6 to a, which gives a = 87.\n\nThus, the final answer is a = \\boxed{87}.",
"index": 8464,
"question": "Suppose a collection of variables is related by the following definitions: h = j + 7; p = g + 20; b = w + 8; r = l + 16; o = h + 10; f = 6; d = f + 19; j = u + 8; w = r + 2; u = d + 17; a = o + 20; g = f + 1; l = p + 17. Given that f = 6, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"p": "v + 15", "m": "p + 11", "y": "m + 6", "g": "y + 12", "d": "g + 3", "n": "d + 1", "x": "v + 15", "e": "x + 8", "i": "e + 11", "c": "i + 13", "r": "c + 9", "s": "r + 4", "v": 8}, "premises": {"v": 8}, "target": "n"}, "answer": {"steps": [["d", "g + 3", "g + 4"], ["g", "y + 12", "y + 16"], ["y", "m + 6", "m + 22"], ["m", "p + 11", "p + 33"], ["p", "v + 15", "v + 48"], ["v", 8, "56"]], "target_var_name": "n", "target_value": 56, "value_dict": {"v": 8}, "is_reverse": true}} | 8,465 | 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 = v + 15; e = x + 8; g = y + 12; d = g + 3; r = c + 9; m = p + 11; i = e + 11; v = 8; n = d + 1; p = v + 15; c = i + 13; y = m + 6; s = r + 4. If v = 8, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 3 to n, which gives n = g + 4.\n2. Substitute g = y + 12 to n, which gives n = y + 16.\n3. Substitute y = m + 6 to n, which gives n = m + 22.\n4. Substitute m = p + 11 to n, which gives n = p + 33.\n5. Substitute p = v + 15 to n, which gives n = v + 48.\n6. Substitute v = 8 to n, which gives n = 56.\n\nThus, the final answer is n = \\boxed{56}.",
"index": 8465,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 15; e = x + 8; g = y + 12; d = g + 3; r = c + 9; m = p + 11; i = e + 11; v = 8; n = d + 1; p = v + 15; c = i + 13; y = m + 6; s = r + 4. If v = 8, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 9", "e": "a + 8", "g": "e + 5", "v": "g + 1", "c": "v + 17", "i": "c + 5", "d": "j + 7", "n": "d + 17", "w": "n + 18", "h": "w + 15", "l": "h + 19", "f": "l + 9", "j": 20}, "premises": {"j": 20}, "target": "i"}, "answer": {"steps": [["c", "v + 17", "v + 22"], ["v", "g + 1", "g + 23"], ["g", "e + 5", "e + 28"], ["e", "a + 8", "a + 36"], ["a", "j + 9", "j + 45"], ["j", 20, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"j": 20}, "is_reverse": true}} | 8,466 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = h + 19; w = n + 18; c = v + 17; n = d + 17; f = l + 9; g = e + 5; h = w + 15; a = j + 9; i = c + 5; d = j + 7; j = 20; e = a + 8; v = g + 1. If j = 20, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 17 to i, which gives i = v + 22.\n2. Substitute v = g + 1 to i, which gives i = g + 23.\n3. Substitute g = e + 5 to i, which gives i = e + 28.\n4. Substitute e = a + 8 to i, which gives i = a + 36.\n5. Substitute a = j + 9 to i, which gives i = j + 45.\n6. Substitute j = 20 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 8466,
"question": "Consider a system of variables where each variable is defined as follows: l = h + 19; w = n + 18; c = v + 17; n = d + 17; f = l + 9; g = e + 5; h = w + 15; a = j + 9; i = c + 5; d = j + 7; j = 20; e = a + 8; v = g + 1. If j = 20, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "u + 3", "s": "c + 11", "i": "s + 1", "e": "i + 4", "w": "e + 8", "g": "w + 16", "y": "u + 9", "b": "y + 7", "k": "b + 19", "h": "k + 4", "d": "h + 1", "l": "d + 9", "u": 4}, "premises": {"u": 4}, "target": "g"}, "answer": {"steps": [["w", "e + 8", "e + 24"], ["e", "i + 4", "i + 28"], ["i", "s + 1", "s + 29"], ["s", "c + 11", "c + 40"], ["c", "u + 3", "u + 43"], ["u", 4, "47"]], "target_var_name": "g", "target_value": 47, "value_dict": {"u": 4}, "is_reverse": true}} | 8,467 | 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 = 4; e = i + 4; s = c + 11; l = d + 9; c = u + 3; i = s + 1; k = b + 19; g = w + 16; w = e + 8; y = u + 9; h = k + 4; d = h + 1; b = y + 7. If u = 4, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 8 to g, which gives g = e + 24.\n2. Substitute e = i + 4 to g, which gives g = i + 28.\n3. Substitute i = s + 1 to g, which gives g = s + 29.\n4. Substitute s = c + 11 to g, which gives g = c + 40.\n5. Substitute c = u + 3 to g, which gives g = u + 43.\n6. Substitute u = 4 to g, which gives g = 47.\n\nThus, the final answer is g = \\boxed{47}.",
"index": 8467,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 4; e = i + 4; s = c + 11; l = d + 9; c = u + 3; i = s + 1; k = b + 19; g = w + 16; w = e + 8; y = u + 9; h = k + 4; d = h + 1; b = y + 7. If u = 4, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 8", "m": "x + 5", "i": "m + 7", "w": "i + 12", "y": "w + 11", "g": "y + 6", "o": "r + 3", "u": "o + 1", "f": "u + 13", "h": "f + 17", "q": "h + 16", "n": "q + 12", "r": 7}, "premises": {"r": 7}, "target": "g"}, "answer": {"steps": [["y", "w + 11", "w + 17"], ["w", "i + 12", "i + 29"], ["i", "m + 7", "m + 36"], ["m", "x + 5", "x + 41"], ["x", "r + 8", "r + 49"], ["r", 7, "56"]], "target_var_name": "g", "target_value": 56, "value_dict": {"r": 7}, "is_reverse": true}} | 8,468 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = q + 12; h = f + 17; i = m + 7; f = u + 13; y = w + 11; x = r + 8; o = r + 3; u = o + 1; r = 7; g = y + 6; m = x + 5; q = h + 16; w = i + 12. If r = 7, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 11 to g, which gives g = w + 17.\n2. Substitute w = i + 12 to g, which gives g = i + 29.\n3. Substitute i = m + 7 to g, which gives g = m + 36.\n4. Substitute m = x + 5 to g, which gives g = x + 41.\n5. Substitute x = r + 8 to g, which gives g = r + 49.\n6. Substitute r = 7 to g, which gives g = 56.\n\nThus, the final answer is g = \\boxed{56}.",
"index": 8468,
"question": "Consider a system of variables where each variable is defined as follows: n = q + 12; h = f + 17; i = m + 7; f = u + 13; y = w + 11; x = r + 8; o = r + 3; u = o + 1; r = 7; g = y + 6; m = x + 5; q = h + 16; w = i + 12. If r = 7, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 5", "c": "d + 15", "k": "c + 8", "x": "k + 18", "v": "x + 5", "q": "v + 3", "f": "i + 8", "g": "f + 5", "h": "g + 9", "j": "h + 20", "t": "j + 6", "b": "t + 16", "i": 14}, "premises": {"i": 14}, "target": "q"}, "answer": {"steps": [["v", "x + 5", "x + 8"], ["x", "k + 18", "k + 26"], ["k", "c + 8", "c + 34"], ["c", "d + 15", "d + 49"], ["d", "i + 5", "i + 54"], ["i", 14, "68"]], "target_var_name": "q", "target_value": 68, "value_dict": {"i": 14}, "is_reverse": true}} | 8,469 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = g + 9; t = j + 6; c = d + 15; g = f + 5; d = i + 5; q = v + 3; b = t + 16; x = k + 18; f = i + 8; i = 14; k = c + 8; j = h + 20; v = x + 5. Given that i = 14, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 5 to q, which gives q = x + 8.\n2. Substitute x = k + 18 to q, which gives q = k + 26.\n3. Substitute k = c + 8 to q, which gives q = c + 34.\n4. Substitute c = d + 15 to q, which gives q = d + 49.\n5. Substitute d = i + 5 to q, which gives q = i + 54.\n6. Substitute i = 14 to q, which gives q = 68.\n\nThus, the final answer is q = \\boxed{68}.",
"index": 8469,
"question": "Suppose a collection of variables is related by the following definitions: h = g + 9; t = j + 6; c = d + 15; g = f + 5; d = i + 5; q = v + 3; b = t + 16; x = k + 18; f = i + 8; i = 14; k = c + 8; j = h + 20; v = x + 5. Given that i = 14, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 15", "d": "g + 9", "e": "d + 7", "c": "e + 9", "r": "c + 9", "z": "r + 2", "b": "h + 8", "w": "b + 11", "u": "w + 10", "x": "u + 7", "i": "x + 1", "a": "i + 1", "h": 20}, "premises": {"h": 20}, "target": "z"}, "answer": {"steps": [["r", "c + 9", "c + 11"], ["c", "e + 9", "e + 20"], ["e", "d + 7", "d + 27"], ["d", "g + 9", "g + 36"], ["g", "h + 15", "h + 51"], ["h", 20, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"h": 20}, "is_reverse": true}} | 8,470 | 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 = b + 11; g = h + 15; i = x + 1; u = w + 10; a = i + 1; d = g + 9; c = e + 9; b = h + 8; e = d + 7; x = u + 7; z = r + 2; r = c + 9; h = 20. If h = 20, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 9 to z, which gives z = c + 11.\n2. Substitute c = e + 9 to z, which gives z = e + 20.\n3. Substitute e = d + 7 to z, which gives z = d + 27.\n4. Substitute d = g + 9 to z, which gives z = g + 36.\n5. Substitute g = h + 15 to z, which gives z = h + 51.\n6. Substitute h = 20 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 8470,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = b + 11; g = h + 15; i = x + 1; u = w + 10; a = i + 1; d = g + 9; c = e + 9; b = h + 8; e = d + 7; x = u + 7; z = r + 2; r = c + 9; h = 20. If h = 20, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 1", "w": "c + 18", "h": "w + 15", "m": "h + 16", "j": "m + 5", "e": "j + 13", "o": "b + 14", "n": "o + 11", "u": "n + 2", "y": "u + 14", "f": "y + 14", "z": "f + 4", "b": 8}, "premises": {"b": 8}, "target": "e"}, "answer": {"steps": [["j", "m + 5", "m + 18"], ["m", "h + 16", "h + 34"], ["h", "w + 15", "w + 49"], ["w", "c + 18", "c + 67"], ["c", "b + 1", "b + 68"], ["b", 8, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"b": 8}, "is_reverse": true}} | 8,471 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = f + 4; o = b + 14; h = w + 15; f = y + 14; n = o + 11; b = 8; u = n + 2; e = j + 13; y = u + 14; c = b + 1; m = h + 16; j = m + 5; w = c + 18. If b = 8, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 5 to e, which gives e = m + 18.\n2. Substitute m = h + 16 to e, which gives e = h + 34.\n3. Substitute h = w + 15 to e, which gives e = w + 49.\n4. Substitute w = c + 18 to e, which gives e = c + 67.\n5. Substitute c = b + 1 to e, which gives e = b + 68.\n6. Substitute b = 8 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 8471,
"question": "Consider a system of variables where each variable is defined as follows: z = f + 4; o = b + 14; h = w + 15; f = y + 14; n = o + 11; b = 8; u = n + 2; e = j + 13; y = u + 14; c = b + 1; m = h + 16; j = m + 5; w = c + 18. If b = 8, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 4", "a": "b + 8", "w": "a + 16", "i": "w + 14", "c": "i + 4", "s": "c + 12", "y": "o + 14", "l": "y + 17", "v": "l + 17", "t": "v + 15", "p": "t + 14", "n": "p + 20", "o": 2}, "premises": {"o": 2}, "target": "s"}, "answer": {"steps": [["c", "i + 4", "i + 16"], ["i", "w + 14", "w + 30"], ["w", "a + 16", "a + 46"], ["a", "b + 8", "b + 54"], ["b", "o + 4", "o + 58"], ["o", 2, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"o": 2}, "is_reverse": true}} | 8,472 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = i + 4; o = 2; b = o + 4; w = a + 16; l = y + 17; t = v + 15; v = l + 17; a = b + 8; s = c + 12; p = t + 14; y = o + 14; i = w + 14; n = p + 20. If o = 2, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 4 to s, which gives s = i + 16.\n2. Substitute i = w + 14 to s, which gives s = w + 30.\n3. Substitute w = a + 16 to s, which gives s = a + 46.\n4. Substitute a = b + 8 to s, which gives s = b + 54.\n5. Substitute b = o + 4 to s, which gives s = o + 58.\n6. Substitute o = 2 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 8472,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = i + 4; o = 2; b = o + 4; w = a + 16; l = y + 17; t = v + 15; v = l + 17; a = b + 8; s = c + 12; p = t + 14; y = o + 14; i = w + 14; n = p + 20. If o = 2, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"i": "l + 13", "w": "i + 18", "a": "w + 9", "v": "a + 11", "h": "v + 17", "q": "h + 8", "d": "l + 8", "x": "d + 10", "n": "x + 3", "k": "n + 9", "r": "k + 2", "s": "r + 7", "l": 9}, "premises": {"l": 9}, "target": "q"}, "answer": {"steps": [["h", "v + 17", "v + 25"], ["v", "a + 11", "a + 36"], ["a", "w + 9", "w + 45"], ["w", "i + 18", "i + 63"], ["i", "l + 13", "l + 76"], ["l", 9, "85"]], "target_var_name": "q", "target_value": 85, "value_dict": {"l": 9}, "is_reverse": true}} | 8,473 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = h + 8; n = x + 3; r = k + 2; w = i + 18; a = w + 9; s = r + 7; x = d + 10; h = v + 17; d = l + 8; k = n + 9; l = 9; v = a + 11; i = l + 13. Given that l = 9, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 17 to q, which gives q = v + 25.\n2. Substitute v = a + 11 to q, which gives q = a + 36.\n3. Substitute a = w + 9 to q, which gives q = w + 45.\n4. Substitute w = i + 18 to q, which gives q = i + 63.\n5. Substitute i = l + 13 to q, which gives q = l + 76.\n6. Substitute l = 9 to q, which gives q = 85.\n\nThus, the final answer is q = \\boxed{85}.",
"index": 8473,
"question": "Suppose a collection of variables is related by the following definitions: q = h + 8; n = x + 3; r = k + 2; w = i + 18; a = w + 9; s = r + 7; x = d + 10; h = v + 17; d = l + 8; k = n + 9; l = 9; v = a + 11; i = l + 13. Given that l = 9, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 15", "f": "q + 6", "t": "f + 17", "l": "t + 20", "i": "l + 8", "c": "i + 16", "p": "s + 13", "d": "p + 13", "x": "d + 4", "g": "x + 3", "h": "g + 1", "o": "h + 7", "s": 16}, "premises": {"s": 16}, "target": "c"}, "answer": {"steps": [["i", "l + 8", "l + 24"], ["l", "t + 20", "t + 44"], ["t", "f + 17", "f + 61"], ["f", "q + 6", "q + 67"], ["q", "s + 15", "s + 82"], ["s", 16, "98"]], "target_var_name": "c", "target_value": 98, "value_dict": {"s": 16}, "is_reverse": true}} | 8,474 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = 16; t = f + 17; l = t + 20; x = d + 4; i = l + 8; f = q + 6; o = h + 7; c = i + 16; p = s + 13; q = s + 15; d = p + 13; g = x + 3; h = g + 1. If s = 16, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 8 to c, which gives c = l + 24.\n2. Substitute l = t + 20 to c, which gives c = t + 44.\n3. Substitute t = f + 17 to c, which gives c = f + 61.\n4. Substitute f = q + 6 to c, which gives c = q + 67.\n5. Substitute q = s + 15 to c, which gives c = s + 82.\n6. Substitute s = 16 to c, which gives c = 98.\n\nThus, the final answer is c = \\boxed{98}.",
"index": 8474,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 16; t = f + 17; l = t + 20; x = d + 4; i = l + 8; f = q + 6; o = h + 7; c = i + 16; p = s + 13; q = s + 15; d = p + 13; g = x + 3; h = g + 1. If s = 16, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"b": "w + 17", "u": "b + 9", "o": "u + 2", "f": "o + 16", "x": "f + 6", "h": "x + 20", "s": "w + 9", "a": "s + 15", "i": "a + 19", "j": "i + 19", "q": "j + 3", "c": "q + 15", "w": 17}, "premises": {"w": 17}, "target": "h"}, "answer": {"steps": [["x", "f + 6", "f + 26"], ["f", "o + 16", "o + 42"], ["o", "u + 2", "u + 44"], ["u", "b + 9", "b + 53"], ["b", "w + 17", "w + 70"], ["w", 17, "87"]], "target_var_name": "h", "target_value": 87, "value_dict": {"w": 17}, "is_reverse": true}} | 8,475 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = q + 15; x = f + 6; u = b + 9; f = o + 16; j = i + 19; i = a + 19; b = w + 17; o = u + 2; q = j + 3; a = s + 15; s = w + 9; h = x + 20; w = 17. If w = 17, 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 x = f + 6 to h, which gives h = f + 26.\n2. Substitute f = o + 16 to h, which gives h = o + 42.\n3. Substitute o = u + 2 to h, which gives h = u + 44.\n4. Substitute u = b + 9 to h, which gives h = b + 53.\n5. Substitute b = w + 17 to h, which gives h = w + 70.\n6. Substitute w = 17 to h, which gives h = 87.\n\nThus, the final answer is h = \\boxed{87}.",
"index": 8475,
"question": "Consider a system of variables where each variable is defined as follows: c = q + 15; x = f + 6; u = b + 9; f = o + 16; j = i + 19; i = a + 19; b = w + 17; o = u + 2; q = j + 3; a = s + 15; s = w + 9; h = x + 20; w = 17. If w = 17, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 12", "z": "o + 5", "y": "z + 14", "r": "y + 12", "h": "r + 5", "l": "h + 9", "g": "f + 1", "m": "g + 2", "c": "m + 6", "p": "c + 11", "q": "p + 12", "a": "q + 6", "f": 17}, "premises": {"f": 17}, "target": "l"}, "answer": {"steps": [["h", "r + 5", "r + 14"], ["r", "y + 12", "y + 26"], ["y", "z + 14", "z + 40"], ["z", "o + 5", "o + 45"], ["o", "f + 12", "f + 57"], ["f", 17, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"f": 17}, "is_reverse": true}} | 8,476 | 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 = g + 2; z = o + 5; p = c + 11; r = y + 12; o = f + 12; l = h + 9; q = p + 12; c = m + 6; h = r + 5; a = q + 6; g = f + 1; f = 17; y = z + 14. If f = 17, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 5 to l, which gives l = r + 14.\n2. Substitute r = y + 12 to l, which gives l = y + 26.\n3. Substitute y = z + 14 to l, which gives l = z + 40.\n4. Substitute z = o + 5 to l, which gives l = o + 45.\n5. Substitute o = f + 12 to l, which gives l = f + 57.\n6. Substitute f = 17 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 8476,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = g + 2; z = o + 5; p = c + 11; r = y + 12; o = f + 12; l = h + 9; q = p + 12; c = m + 6; h = r + 5; a = q + 6; g = f + 1; f = 17; y = z + 14. If f = 17, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 1", "v": "m + 8", "r": "v + 20", "p": "r + 5", "e": "p + 12", "o": "e + 8", "g": "w + 8", "d": "g + 9", "z": "d + 3", "i": "z + 6", "q": "i + 5", "a": "q + 18", "w": 3}, "premises": {"w": 3}, "target": "o"}, "answer": {"steps": [["e", "p + 12", "p + 20"], ["p", "r + 5", "r + 25"], ["r", "v + 20", "v + 45"], ["v", "m + 8", "m + 53"], ["m", "w + 1", "w + 54"], ["w", 3, "57"]], "target_var_name": "o", "target_value": 57, "value_dict": {"w": 3}, "is_reverse": true}} | 8,477 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = v + 20; w = 3; g = w + 8; e = p + 12; a = q + 18; m = w + 1; z = d + 3; q = i + 5; d = g + 9; o = e + 8; p = r + 5; v = m + 8; i = z + 6. If w = 3, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 12 to o, which gives o = p + 20.\n2. Substitute p = r + 5 to o, which gives o = r + 25.\n3. Substitute r = v + 20 to o, which gives o = v + 45.\n4. Substitute v = m + 8 to o, which gives o = m + 53.\n5. Substitute m = w + 1 to o, which gives o = w + 54.\n6. Substitute w = 3 to o, which gives o = 57.\n\nThus, the final answer is o = \\boxed{57}.",
"index": 8477,
"question": "Consider a system of variables where each variable is defined as follows: r = v + 20; w = 3; g = w + 8; e = p + 12; a = q + 18; m = w + 1; z = d + 3; q = i + 5; d = g + 9; o = e + 8; p = r + 5; v = m + 8; i = z + 6. If w = 3, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"y": "a + 3", "z": "y + 11", "l": "z + 15", "x": "l + 7", "m": "x + 10", "i": "m + 8", "t": "a + 4", "c": "t + 3", "h": "c + 3", "e": "h + 13", "n": "e + 8", "j": "n + 20", "a": 10}, "premises": {"a": 10}, "target": "i"}, "answer": {"steps": [["m", "x + 10", "x + 18"], ["x", "l + 7", "l + 25"], ["l", "z + 15", "z + 40"], ["z", "y + 11", "y + 51"], ["y", "a + 3", "a + 54"], ["a", 10, "64"]], "target_var_name": "i", "target_value": 64, "value_dict": {"a": 10}, "is_reverse": true}} | 8,478 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = m + 8; l = z + 15; e = h + 13; t = a + 4; y = a + 3; x = l + 7; z = y + 11; a = 10; m = x + 10; c = t + 3; h = c + 3; n = e + 8; j = n + 20. If a = 10, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 10 to i, which gives i = x + 18.\n2. Substitute x = l + 7 to i, which gives i = l + 25.\n3. Substitute l = z + 15 to i, which gives i = z + 40.\n4. Substitute z = y + 11 to i, which gives i = y + 51.\n5. Substitute y = a + 3 to i, which gives i = a + 54.\n6. Substitute a = 10 to i, which gives i = 64.\n\nThus, the final answer is i = \\boxed{64}.",
"index": 8478,
"question": "Consider a system of variables where each variable is defined as follows: i = m + 8; l = z + 15; e = h + 13; t = a + 4; y = a + 3; x = l + 7; z = y + 11; a = 10; m = x + 10; c = t + 3; h = c + 3; n = e + 8; j = n + 20. If a = 10, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 18", "o": "u + 7", "g": "o + 15", "c": "g + 11", "a": "c + 9", "z": "a + 15", "v": "j + 5", "t": "v + 6", "p": "t + 18", "s": "p + 19", "n": "s + 8", "d": "n + 4", "j": 12}, "premises": {"j": 12}, "target": "z"}, "answer": {"steps": [["a", "c + 9", "c + 24"], ["c", "g + 11", "g + 35"], ["g", "o + 15", "o + 50"], ["o", "u + 7", "u + 57"], ["u", "j + 18", "j + 75"], ["j", 12, "87"]], "target_var_name": "z", "target_value": 87, "value_dict": {"j": 12}, "is_reverse": true}} | 8,479 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = j + 18; p = t + 18; v = j + 5; c = g + 11; a = c + 9; o = u + 7; n = s + 8; s = p + 19; d = n + 4; j = 12; g = o + 15; z = a + 15; t = v + 6. Given that j = 12, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 9 to z, which gives z = c + 24.\n2. Substitute c = g + 11 to z, which gives z = g + 35.\n3. Substitute g = o + 15 to z, which gives z = o + 50.\n4. Substitute o = u + 7 to z, which gives z = u + 57.\n5. Substitute u = j + 18 to z, which gives z = j + 75.\n6. Substitute j = 12 to z, which gives z = 87.\n\nThus, the final answer is z = \\boxed{87}.",
"index": 8479,
"question": "Suppose a collection of variables is related by the following definitions: u = j + 18; p = t + 18; v = j + 5; c = g + 11; a = c + 9; o = u + 7; n = s + 8; s = p + 19; d = n + 4; j = 12; g = o + 15; z = a + 15; t = v + 6. Given that j = 12, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"l": "e + 17", "s": "l + 1", "v": "s + 1", "x": "v + 15", "u": "x + 1", "b": "u + 8", "j": "e + 18", "h": "j + 1", "p": "h + 18", "d": "p + 5", "w": "d + 8", "m": "w + 16", "e": 9}, "premises": {"e": 9}, "target": "b"}, "answer": {"steps": [["u", "x + 1", "x + 9"], ["x", "v + 15", "v + 24"], ["v", "s + 1", "s + 25"], ["s", "l + 1", "l + 26"], ["l", "e + 17", "e + 43"], ["e", 9, "52"]], "target_var_name": "b", "target_value": 52, "value_dict": {"e": 9}, "is_reverse": true}} | 8,480 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = w + 16; v = s + 1; x = v + 15; p = h + 18; b = u + 8; l = e + 17; w = d + 8; d = p + 5; e = 9; j = e + 18; s = l + 1; h = j + 1; u = x + 1. Given that e = 9, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 1 to b, which gives b = x + 9.\n2. Substitute x = v + 15 to b, which gives b = v + 24.\n3. Substitute v = s + 1 to b, which gives b = s + 25.\n4. Substitute s = l + 1 to b, which gives b = l + 26.\n5. Substitute l = e + 17 to b, which gives b = e + 43.\n6. Substitute e = 9 to b, which gives b = 52.\n\nThus, the final answer is b = \\boxed{52}.",
"index": 8480,
"question": "Suppose a collection of variables is related by the following definitions: m = w + 16; v = s + 1; x = v + 15; p = h + 18; b = u + 8; l = e + 17; w = d + 8; d = p + 5; e = 9; j = e + 18; s = l + 1; h = j + 1; u = x + 1. Given that e = 9, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"l": "z + 17", "i": "l + 7", "y": "i + 2", "b": "y + 9", "d": "b + 5", "p": "d + 17", "a": "z + 10", "r": "a + 4", "s": "r + 13", "t": "s + 2", "f": "t + 15", "h": "f + 20", "z": 15}, "premises": {"z": 15}, "target": "p"}, "answer": {"steps": [["d", "b + 5", "b + 22"], ["b", "y + 9", "y + 31"], ["y", "i + 2", "i + 33"], ["i", "l + 7", "l + 40"], ["l", "z + 17", "z + 57"], ["z", 15, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"z": 15}, "is_reverse": true}} | 8,481 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = 15; p = d + 17; b = y + 9; d = b + 5; r = a + 4; h = f + 20; f = t + 15; l = z + 17; s = r + 13; i = l + 7; t = s + 2; y = i + 2; a = z + 10. If z = 15, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 5 to p, which gives p = b + 22.\n2. Substitute b = y + 9 to p, which gives p = y + 31.\n3. Substitute y = i + 2 to p, which gives p = i + 33.\n4. Substitute i = l + 7 to p, which gives p = l + 40.\n5. Substitute l = z + 17 to p, which gives p = z + 57.\n6. Substitute z = 15 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 8481,
"question": "Consider a system of variables where each variable is defined as follows: z = 15; p = d + 17; b = y + 9; d = b + 5; r = a + 4; h = f + 20; f = t + 15; l = z + 17; s = r + 13; i = l + 7; t = s + 2; y = i + 2; a = z + 10. If z = 15, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 18", "i": "k + 1", "z": "i + 6", "s": "z + 4", "f": "s + 13", "j": "f + 7", "n": "d + 15", "g": "n + 10", "a": "g + 19", "h": "a + 8", "y": "h + 19", "x": "y + 9", "d": 17}, "premises": {"d": 17}, "target": "j"}, "answer": {"steps": [["f", "s + 13", "s + 20"], ["s", "z + 4", "z + 24"], ["z", "i + 6", "i + 30"], ["i", "k + 1", "k + 31"], ["k", "d + 18", "d + 49"], ["d", 17, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"d": 17}, "is_reverse": true}} | 8,482 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = d + 18; x = y + 9; g = n + 10; d = 17; i = k + 1; j = f + 7; h = a + 8; s = z + 4; n = d + 15; a = g + 19; z = i + 6; y = h + 19; f = s + 13. Given that d = 17, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 13 to j, which gives j = s + 20.\n2. Substitute s = z + 4 to j, which gives j = z + 24.\n3. Substitute z = i + 6 to j, which gives j = i + 30.\n4. Substitute i = k + 1 to j, which gives j = k + 31.\n5. Substitute k = d + 18 to j, which gives j = d + 49.\n6. Substitute d = 17 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 8482,
"question": "Suppose a collection of variables is related by the following definitions: k = d + 18; x = y + 9; g = n + 10; d = 17; i = k + 1; j = f + 7; h = a + 8; s = z + 4; n = d + 15; a = g + 19; z = i + 6; y = h + 19; f = s + 13. Given that d = 17, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"p": "q + 20", "a": "p + 2", "k": "a + 14", "h": "k + 20", "v": "h + 9", "g": "v + 20", "z": "q + 20", "j": "z + 19", "b": "j + 2", "x": "b + 13", "e": "x + 11", "u": "e + 10", "q": 3}, "premises": {"q": 3}, "target": "g"}, "answer": {"steps": [["v", "h + 9", "h + 29"], ["h", "k + 20", "k + 49"], ["k", "a + 14", "a + 63"], ["a", "p + 2", "p + 65"], ["p", "q + 20", "q + 85"], ["q", 3, "88"]], "target_var_name": "g", "target_value": 88, "value_dict": {"q": 3}, "is_reverse": true}} | 8,483 | 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 = v + 20; k = a + 14; z = q + 20; x = b + 13; u = e + 10; e = x + 11; h = k + 20; p = q + 20; q = 3; j = z + 19; a = p + 2; b = j + 2; v = h + 9. If q = 3, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 9 to g, which gives g = h + 29.\n2. Substitute h = k + 20 to g, which gives g = k + 49.\n3. Substitute k = a + 14 to g, which gives g = a + 63.\n4. Substitute a = p + 2 to g, which gives g = p + 65.\n5. Substitute p = q + 20 to g, which gives g = q + 85.\n6. Substitute q = 3 to g, which gives g = 88.\n\nThus, the final answer is g = \\boxed{88}.",
"index": 8483,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = v + 20; k = a + 14; z = q + 20; x = b + 13; u = e + 10; e = x + 11; h = k + 20; p = q + 20; q = 3; j = z + 19; a = p + 2; b = j + 2; v = h + 9. If q = 3, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 9", "c": "d + 4", "f": "c + 17", "v": "f + 4", "k": "v + 14", "n": "k + 15", "q": "x + 8", "s": "q + 17", "y": "s + 10", "h": "y + 4", "p": "h + 20", "i": "p + 1", "x": 9}, "premises": {"x": 9}, "target": "n"}, "answer": {"steps": [["k", "v + 14", "v + 29"], ["v", "f + 4", "f + 33"], ["f", "c + 17", "c + 50"], ["c", "d + 4", "d + 54"], ["d", "x + 9", "x + 63"], ["x", 9, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"x": 9}, "is_reverse": true}} | 8,484 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = x + 9; f = c + 17; k = v + 14; v = f + 4; n = k + 15; c = d + 4; x = 9; p = h + 20; s = q + 17; y = s + 10; i = p + 1; q = x + 8; h = y + 4. If x = 9, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 14 to n, which gives n = v + 29.\n2. Substitute v = f + 4 to n, which gives n = f + 33.\n3. Substitute f = c + 17 to n, which gives n = c + 50.\n4. Substitute c = d + 4 to n, which gives n = d + 54.\n5. Substitute d = x + 9 to n, which gives n = x + 63.\n6. Substitute x = 9 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 8484,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = x + 9; f = c + 17; k = v + 14; v = f + 4; n = k + 15; c = d + 4; x = 9; p = h + 20; s = q + 17; y = s + 10; i = p + 1; q = x + 8; h = y + 4. If x = 9, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 12", "c": "k + 16", "g": "c + 19", "f": "g + 15", "l": "f + 10", "u": "l + 10", "q": "s + 19", "a": "q + 14", "z": "a + 15", "j": "z + 17", "e": "j + 4", "r": "e + 6", "s": 14}, "premises": {"s": 14}, "target": "u"}, "answer": {"steps": [["l", "f + 10", "f + 20"], ["f", "g + 15", "g + 35"], ["g", "c + 19", "c + 54"], ["c", "k + 16", "k + 70"], ["k", "s + 12", "s + 82"], ["s", 14, "96"]], "target_var_name": "u", "target_value": 96, "value_dict": {"s": 14}, "is_reverse": true}} | 8,485 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = z + 17; r = e + 6; g = c + 19; q = s + 19; f = g + 15; l = f + 10; c = k + 16; s = 14; a = q + 14; k = s + 12; u = l + 10; e = j + 4; z = a + 15. If s = 14, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 10 to u, which gives u = f + 20.\n2. Substitute f = g + 15 to u, which gives u = g + 35.\n3. Substitute g = c + 19 to u, which gives u = c + 54.\n4. Substitute c = k + 16 to u, which gives u = k + 70.\n5. Substitute k = s + 12 to u, which gives u = s + 82.\n6. Substitute s = 14 to u, which gives u = 96.\n\nThus, the final answer is u = \\boxed{96}.",
"index": 8485,
"question": "Consider a system of variables where each variable is defined as follows: j = z + 17; r = e + 6; g = c + 19; q = s + 19; f = g + 15; l = f + 10; c = k + 16; s = 14; a = q + 14; k = s + 12; u = l + 10; e = j + 4; z = a + 15. If s = 14, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"q": "t + 2", "u": "q + 2", "i": "u + 14", "x": "i + 7", "m": "x + 13", "c": "m + 20", "b": "t + 4", "j": "b + 1", "l": "j + 7", "n": "l + 15", "s": "n + 10", "h": "s + 13", "t": 1}, "premises": {"t": 1}, "target": "c"}, "answer": {"steps": [["m", "x + 13", "x + 33"], ["x", "i + 7", "i + 40"], ["i", "u + 14", "u + 54"], ["u", "q + 2", "q + 56"], ["q", "t + 2", "t + 58"], ["t", 1, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"t": 1}, "is_reverse": true}} | 8,486 | 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 = x + 13; i = u + 14; l = j + 7; b = t + 4; j = b + 1; s = n + 10; c = m + 20; n = l + 15; x = i + 7; q = t + 2; h = s + 13; u = q + 2; t = 1. If t = 1, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 13 to c, which gives c = x + 33.\n2. Substitute x = i + 7 to c, which gives c = i + 40.\n3. Substitute i = u + 14 to c, which gives c = u + 54.\n4. Substitute u = q + 2 to c, which gives c = q + 56.\n5. Substitute q = t + 2 to c, which gives c = t + 58.\n6. Substitute t = 1 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 8486,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = x + 13; i = u + 14; l = j + 7; b = t + 4; j = b + 1; s = n + 10; c = m + 20; n = l + 15; x = i + 7; q = t + 2; h = s + 13; u = q + 2; t = 1. If t = 1, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 10", "u": "r + 16", "f": "u + 14", "b": "f + 9", "l": "b + 12", "z": "l + 18", "s": "n + 5", "g": "s + 9", "i": "g + 13", "w": "i + 9", "p": "w + 6", "x": "p + 12", "n": 12}, "premises": {"n": 12}, "target": "z"}, "answer": {"steps": [["l", "b + 12", "b + 30"], ["b", "f + 9", "f + 39"], ["f", "u + 14", "u + 53"], ["u", "r + 16", "r + 69"], ["r", "n + 10", "n + 79"], ["n", 12, "91"]], "target_var_name": "z", "target_value": 91, "value_dict": {"n": 12}, "is_reverse": true}} | 8,487 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = g + 13; w = i + 9; s = n + 5; l = b + 12; z = l + 18; u = r + 16; p = w + 6; n = 12; g = s + 9; f = u + 14; x = p + 12; b = f + 9; r = n + 10. Given that n = 12, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 12 to z, which gives z = b + 30.\n2. Substitute b = f + 9 to z, which gives z = f + 39.\n3. Substitute f = u + 14 to z, which gives z = u + 53.\n4. Substitute u = r + 16 to z, which gives z = r + 69.\n5. Substitute r = n + 10 to z, which gives z = n + 79.\n6. Substitute n = 12 to z, which gives z = 91.\n\nThus, the final answer is z = \\boxed{91}.",
"index": 8487,
"question": "Suppose a collection of variables is related by the following definitions: i = g + 13; w = i + 9; s = n + 5; l = b + 12; z = l + 18; u = r + 16; p = w + 6; n = 12; g = s + 9; f = u + 14; x = p + 12; b = f + 9; r = n + 10. Given that n = 12, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 6", "i": "t + 6", "f": "i + 14", "q": "f + 9", "s": "q + 18", "c": "s + 11", "w": "v + 11", "p": "w + 18", "o": "p + 9", "k": "o + 8", "r": "k + 18", "n": "r + 18", "v": 11}, "premises": {"v": 11}, "target": "c"}, "answer": {"steps": [["s", "q + 18", "q + 29"], ["q", "f + 9", "f + 38"], ["f", "i + 14", "i + 52"], ["i", "t + 6", "t + 58"], ["t", "v + 6", "v + 64"], ["v", 11, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"v": 11}, "is_reverse": true}} | 8,488 | 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 = v + 11; t = v + 6; o = p + 9; k = o + 8; q = f + 9; i = t + 6; f = i + 14; c = s + 11; s = q + 18; p = w + 18; n = r + 18; r = k + 18; v = 11. If v = 11, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 18 to c, which gives c = q + 29.\n2. Substitute q = f + 9 to c, which gives c = f + 38.\n3. Substitute f = i + 14 to c, which gives c = i + 52.\n4. Substitute i = t + 6 to c, which gives c = t + 58.\n5. Substitute t = v + 6 to c, which gives c = v + 64.\n6. Substitute v = 11 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 8488,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = v + 11; t = v + 6; o = p + 9; k = o + 8; q = f + 9; i = t + 6; f = i + 14; c = s + 11; s = q + 18; p = w + 18; n = r + 18; r = k + 18; v = 11. If v = 11, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 14", "m": "o + 13", "e": "m + 7", "p": "e + 13", "n": "p + 1", "s": "n + 12", "v": "u + 6", "y": "v + 4", "c": "y + 13", "l": "c + 13", "i": "l + 19", "h": "i + 8", "u": 11}, "premises": {"u": 11}, "target": "s"}, "answer": {"steps": [["n", "p + 1", "p + 13"], ["p", "e + 13", "e + 26"], ["e", "m + 7", "m + 33"], ["m", "o + 13", "o + 46"], ["o", "u + 14", "u + 60"], ["u", 11, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"u": 11}, "is_reverse": true}} | 8,489 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = c + 13; n = p + 1; o = u + 14; h = i + 8; y = v + 4; u = 11; c = y + 13; m = o + 13; i = l + 19; v = u + 6; s = n + 12; e = m + 7; p = e + 13. Given that u = 11, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 1 to s, which gives s = p + 13.\n2. Substitute p = e + 13 to s, which gives s = e + 26.\n3. Substitute e = m + 7 to s, which gives s = m + 33.\n4. Substitute m = o + 13 to s, which gives s = o + 46.\n5. Substitute o = u + 14 to s, which gives s = u + 60.\n6. Substitute u = 11 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 8489,
"question": "Suppose a collection of variables is related by the following definitions: l = c + 13; n = p + 1; o = u + 14; h = i + 8; y = v + 4; u = 11; c = y + 13; m = o + 13; i = l + 19; v = u + 6; s = n + 12; e = m + 7; p = e + 13. Given that u = 11, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 19", "e": "r + 3", "w": "e + 12", "o": "w + 14", "d": "o + 15", "s": "d + 3", "k": "h + 19", "u": "k + 2", "y": "u + 17", "i": "y + 17", "a": "i + 9", "q": "a + 20", "h": 7}, "premises": {"h": 7}, "target": "s"}, "answer": {"steps": [["d", "o + 15", "o + 18"], ["o", "w + 14", "w + 32"], ["w", "e + 12", "e + 44"], ["e", "r + 3", "r + 47"], ["r", "h + 19", "h + 66"], ["h", 7, "73"]], "target_var_name": "s", "target_value": 73, "value_dict": {"h": 7}, "is_reverse": true}} | 8,490 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = d + 3; a = i + 9; u = k + 2; k = h + 19; o = w + 14; d = o + 15; q = a + 20; i = y + 17; h = 7; r = h + 19; w = e + 12; e = r + 3; y = u + 17. Given that h = 7, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 15 to s, which gives s = o + 18.\n2. Substitute o = w + 14 to s, which gives s = w + 32.\n3. Substitute w = e + 12 to s, which gives s = e + 44.\n4. Substitute e = r + 3 to s, which gives s = r + 47.\n5. Substitute r = h + 19 to s, which gives s = h + 66.\n6. Substitute h = 7 to s, which gives s = 73.\n\nThus, the final answer is s = \\boxed{73}.",
"index": 8490,
"question": "Suppose a collection of variables is related by the following definitions: s = d + 3; a = i + 9; u = k + 2; k = h + 19; o = w + 14; d = o + 15; q = a + 20; i = y + 17; h = 7; r = h + 19; w = e + 12; e = r + 3; y = u + 17. Given that h = 7, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 10", "k": "y + 1", "m": "k + 10", "i": "m + 16", "h": "i + 11", "d": "h + 17", "n": "p + 4", "g": "n + 15", "s": "g + 14", "c": "s + 6", "f": "c + 19", "j": "f + 14", "p": 2}, "premises": {"p": 2}, "target": "d"}, "answer": {"steps": [["h", "i + 11", "i + 28"], ["i", "m + 16", "m + 44"], ["m", "k + 10", "k + 54"], ["k", "y + 1", "y + 55"], ["y", "p + 10", "p + 65"], ["p", 2, "67"]], "target_var_name": "d", "target_value": 67, "value_dict": {"p": 2}, "is_reverse": true}} | 8,491 | 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 = s + 6; m = k + 10; i = m + 16; g = n + 15; s = g + 14; n = p + 4; f = c + 19; p = 2; h = i + 11; d = h + 17; j = f + 14; y = p + 10; k = y + 1. If p = 2, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 11 to d, which gives d = i + 28.\n2. Substitute i = m + 16 to d, which gives d = m + 44.\n3. Substitute m = k + 10 to d, which gives d = k + 54.\n4. Substitute k = y + 1 to d, which gives d = y + 55.\n5. Substitute y = p + 10 to d, which gives d = p + 65.\n6. Substitute p = 2 to d, which gives d = 67.\n\nThus, the final answer is d = \\boxed{67}.",
"index": 8491,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = s + 6; m = k + 10; i = m + 16; g = n + 15; s = g + 14; n = p + 4; f = c + 19; p = 2; h = i + 11; d = h + 17; j = f + 14; y = p + 10; k = y + 1. If p = 2, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"g": "u + 7", "r": "g + 11", "f": "r + 4", "t": "f + 9", "h": "t + 20", "e": "h + 2", "a": "u + 8", "x": "a + 16", "m": "x + 15", "s": "m + 5", "l": "s + 11", "c": "l + 19", "u": 16}, "premises": {"u": 16}, "target": "e"}, "answer": {"steps": [["h", "t + 20", "t + 22"], ["t", "f + 9", "f + 31"], ["f", "r + 4", "r + 35"], ["r", "g + 11", "g + 46"], ["g", "u + 7", "u + 53"], ["u", 16, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"u": 16}, "is_reverse": true}} | 8,492 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = h + 2; l = s + 11; h = t + 20; r = g + 11; a = u + 8; u = 16; t = f + 9; f = r + 4; g = u + 7; x = a + 16; s = m + 5; c = l + 19; m = x + 15. If u = 16, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 20 to e, which gives e = t + 22.\n2. Substitute t = f + 9 to e, which gives e = f + 31.\n3. Substitute f = r + 4 to e, which gives e = r + 35.\n4. Substitute r = g + 11 to e, which gives e = g + 46.\n5. Substitute g = u + 7 to e, which gives e = u + 53.\n6. Substitute u = 16 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 8492,
"question": "Consider a system of variables where each variable is defined as follows: e = h + 2; l = s + 11; h = t + 20; r = g + 11; a = u + 8; u = 16; t = f + 9; f = r + 4; g = u + 7; x = a + 16; s = m + 5; c = l + 19; m = x + 15. If u = 16, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"u": "z + 6", "m": "u + 12", "k": "m + 17", "q": "k + 5", "e": "q + 14", "w": "e + 9", "n": "z + 14", "o": "n + 15", "h": "o + 17", "b": "h + 17", "f": "b + 5", "c": "f + 10", "z": 1}, "premises": {"z": 1}, "target": "w"}, "answer": {"steps": [["e", "q + 14", "q + 23"], ["q", "k + 5", "k + 28"], ["k", "m + 17", "m + 45"], ["m", "u + 12", "u + 57"], ["u", "z + 6", "z + 63"], ["z", 1, "64"]], "target_var_name": "w", "target_value": 64, "value_dict": {"z": 1}, "is_reverse": true}} | 8,493 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 10; b = h + 17; k = m + 17; z = 1; q = k + 5; m = u + 12; u = z + 6; o = n + 15; n = z + 14; h = o + 17; w = e + 9; e = q + 14; f = b + 5. If z = 1, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 14 to w, which gives w = q + 23.\n2. Substitute q = k + 5 to w, which gives w = k + 28.\n3. Substitute k = m + 17 to w, which gives w = m + 45.\n4. Substitute m = u + 12 to w, which gives w = u + 57.\n5. Substitute u = z + 6 to w, which gives w = z + 63.\n6. Substitute z = 1 to w, which gives w = 64.\n\nThus, the final answer is w = \\boxed{64}.",
"index": 8493,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 10; b = h + 17; k = m + 17; z = 1; q = k + 5; m = u + 12; u = z + 6; o = n + 15; n = z + 14; h = o + 17; w = e + 9; e = q + 14; f = b + 5. If z = 1, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 3", "j": "z + 3", "t": "j + 13", "b": "t + 6", "s": "b + 11", "r": "s + 10", "f": "l + 20", "i": "f + 17", "k": "i + 11", "c": "k + 14", "u": "c + 19", "m": "u + 6", "l": 20}, "premises": {"l": 20}, "target": "r"}, "answer": {"steps": [["s", "b + 11", "b + 21"], ["b", "t + 6", "t + 27"], ["t", "j + 13", "j + 40"], ["j", "z + 3", "z + 43"], ["z", "l + 3", "l + 46"], ["l", 20, "66"]], "target_var_name": "r", "target_value": 66, "value_dict": {"l": 20}, "is_reverse": true}} | 8,494 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = b + 11; l = 20; c = k + 14; f = l + 20; t = j + 13; j = z + 3; k = i + 11; b = t + 6; m = u + 6; z = l + 3; u = c + 19; i = f + 17; r = s + 10. If l = 20, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 11 to r, which gives r = b + 21.\n2. Substitute b = t + 6 to r, which gives r = t + 27.\n3. Substitute t = j + 13 to r, which gives r = j + 40.\n4. Substitute j = z + 3 to r, which gives r = z + 43.\n5. Substitute z = l + 3 to r, which gives r = l + 46.\n6. Substitute l = 20 to r, which gives r = 66.\n\nThus, the final answer is r = \\boxed{66}.",
"index": 8494,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = b + 11; l = 20; c = k + 14; f = l + 20; t = j + 13; j = z + 3; k = i + 11; b = t + 6; m = u + 6; z = l + 3; u = c + 19; i = f + 17; r = s + 10. If l = 20, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 15", "o": "j + 4", "a": "o + 20", "l": "a + 6", "m": "l + 12", "s": "m + 13", "y": "c + 11", "f": "y + 9", "g": "f + 8", "h": "g + 3", "x": "h + 7", "u": "x + 6", "c": 13}, "premises": {"c": 13}, "target": "s"}, "answer": {"steps": [["m", "l + 12", "l + 25"], ["l", "a + 6", "a + 31"], ["a", "o + 20", "o + 51"], ["o", "j + 4", "j + 55"], ["j", "c + 15", "c + 70"], ["c", 13, "83"]], "target_var_name": "s", "target_value": 83, "value_dict": {"c": 13}, "is_reverse": true}} | 8,495 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = m + 13; j = c + 15; o = j + 4; h = g + 3; y = c + 11; f = y + 9; g = f + 8; l = a + 6; m = l + 12; a = o + 20; u = x + 6; x = h + 7; c = 13. Given that c = 13, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 12 to s, which gives s = l + 25.\n2. Substitute l = a + 6 to s, which gives s = a + 31.\n3. Substitute a = o + 20 to s, which gives s = o + 51.\n4. Substitute o = j + 4 to s, which gives s = j + 55.\n5. Substitute j = c + 15 to s, which gives s = c + 70.\n6. Substitute c = 13 to s, which gives s = 83.\n\nThus, the final answer is s = \\boxed{83}.",
"index": 8495,
"question": "Suppose a collection of variables is related by the following definitions: s = m + 13; j = c + 15; o = j + 4; h = g + 3; y = c + 11; f = y + 9; g = f + 8; l = a + 6; m = l + 12; a = o + 20; u = x + 6; x = h + 7; c = 13. Given that c = 13, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"x": "c + 6", "i": "x + 17", "k": "i + 11", "g": "k + 14", "a": "g + 5", "e": "a + 15", "l": "c + 4", "v": "l + 13", "f": "v + 9", "q": "f + 9", "h": "q + 9", "y": "h + 15", "c": 5}, "premises": {"c": 5}, "target": "e"}, "answer": {"steps": [["a", "g + 5", "g + 20"], ["g", "k + 14", "k + 34"], ["k", "i + 11", "i + 45"], ["i", "x + 17", "x + 62"], ["x", "c + 6", "c + 68"], ["c", 5, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"c": 5}, "is_reverse": true}} | 8,496 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = i + 11; g = k + 14; x = c + 6; i = x + 17; y = h + 15; a = g + 5; f = v + 9; l = c + 4; q = f + 9; v = l + 13; c = 5; e = a + 15; h = q + 9. Given that c = 5, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 5 to e, which gives e = g + 20.\n2. Substitute g = k + 14 to e, which gives e = k + 34.\n3. Substitute k = i + 11 to e, which gives e = i + 45.\n4. Substitute i = x + 17 to e, which gives e = x + 62.\n5. Substitute x = c + 6 to e, which gives e = c + 68.\n6. Substitute c = 5 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 8496,
"question": "Suppose a collection of variables is related by the following definitions: k = i + 11; g = k + 14; x = c + 6; i = x + 17; y = h + 15; a = g + 5; f = v + 9; l = c + 4; q = f + 9; v = l + 13; c = 5; e = a + 15; h = q + 9. Given that c = 5, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"u": "v + 11", "g": "u + 17", "y": "g + 18", "q": "y + 6", "x": "q + 7", "t": "x + 9", "m": "v + 7", "h": "m + 2", "p": "h + 18", "z": "p + 15", "j": "z + 13", "o": "j + 4", "v": 1}, "premises": {"v": 1}, "target": "t"}, "answer": {"steps": [["x", "q + 7", "q + 16"], ["q", "y + 6", "y + 22"], ["y", "g + 18", "g + 40"], ["g", "u + 17", "u + 57"], ["u", "v + 11", "v + 68"], ["v", 1, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"v": 1}, "is_reverse": true}} | 8,497 | 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 = u + 17; t = x + 9; u = v + 11; v = 1; z = p + 15; o = j + 4; h = m + 2; q = y + 6; m = v + 7; p = h + 18; y = g + 18; j = z + 13; x = q + 7. If v = 1, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 7 to t, which gives t = q + 16.\n2. Substitute q = y + 6 to t, which gives t = y + 22.\n3. Substitute y = g + 18 to t, which gives t = g + 40.\n4. Substitute g = u + 17 to t, which gives t = u + 57.\n5. Substitute u = v + 11 to t, which gives t = v + 68.\n6. Substitute v = 1 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 8497,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = u + 17; t = x + 9; u = v + 11; v = 1; z = p + 15; o = j + 4; h = m + 2; q = y + 6; m = v + 7; p = h + 18; y = g + 18; j = z + 13; x = q + 7. If v = 1, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 1", "t": "z + 1", "s": "t + 6", "d": "s + 6", "y": "d + 8", "c": "y + 4", "m": "k + 10", "x": "m + 1", "n": "x + 19", "p": "n + 4", "w": "p + 18", "f": "w + 10", "k": 17}, "premises": {"k": 17}, "target": "c"}, "answer": {"steps": [["y", "d + 8", "d + 12"], ["d", "s + 6", "s + 18"], ["s", "t + 6", "t + 24"], ["t", "z + 1", "z + 25"], ["z", "k + 1", "k + 26"], ["k", 17, "43"]], "target_var_name": "c", "target_value": 43, "value_dict": {"k": 17}, "is_reverse": true}} | 8,498 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = y + 4; w = p + 18; t = z + 1; s = t + 6; x = m + 1; f = w + 10; p = n + 4; n = x + 19; k = 17; z = k + 1; d = s + 6; y = d + 8; m = k + 10. Given that k = 17, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 8 to c, which gives c = d + 12.\n2. Substitute d = s + 6 to c, which gives c = s + 18.\n3. Substitute s = t + 6 to c, which gives c = t + 24.\n4. Substitute t = z + 1 to c, which gives c = z + 25.\n5. Substitute z = k + 1 to c, which gives c = k + 26.\n6. Substitute k = 17 to c, which gives c = 43.\n\nThus, the final answer is c = \\boxed{43}.",
"index": 8498,
"question": "Suppose a collection of variables is related by the following definitions: c = y + 4; w = p + 18; t = z + 1; s = t + 6; x = m + 1; f = w + 10; p = n + 4; n = x + 19; k = 17; z = k + 1; d = s + 6; y = d + 8; m = k + 10. Given that k = 17, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 7", "u": "j + 16", "z": "u + 3", "q": "z + 3", "k": "q + 20", "w": "k + 14", "y": "l + 18", "r": "y + 4", "v": "r + 11", "p": "v + 6", "c": "p + 4", "g": "c + 1", "l": 15}, "premises": {"l": 15}, "target": "w"}, "answer": {"steps": [["k", "q + 20", "q + 34"], ["q", "z + 3", "z + 37"], ["z", "u + 3", "u + 40"], ["u", "j + 16", "j + 56"], ["j", "l + 7", "l + 63"], ["l", 15, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"l": 15}, "is_reverse": true}} | 8,499 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = j + 16; c = p + 4; z = u + 3; w = k + 14; y = l + 18; g = c + 1; p = v + 6; k = q + 20; j = l + 7; r = y + 4; v = r + 11; l = 15; q = z + 3. If l = 15, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 20 to w, which gives w = q + 34.\n2. Substitute q = z + 3 to w, which gives w = z + 37.\n3. Substitute z = u + 3 to w, which gives w = u + 40.\n4. Substitute u = j + 16 to w, which gives w = j + 56.\n5. Substitute j = l + 7 to w, which gives w = l + 63.\n6. Substitute l = 15 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 8499,
"question": "Consider a system of variables where each variable is defined as follows: u = j + 16; c = p + 4; z = u + 3; w = k + 14; y = l + 18; g = c + 1; p = v + 6; k = q + 20; j = l + 7; r = y + 4; v = r + 11; l = 15; q = z + 3. If l = 15, determine the value of w.",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.