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": {"g": "z + 12", "c": "g + 6", "j": "c + 6", "f": "j + 18", "v": "f + 3", "m": "v + 7", "r": "z + 16", "a": "r + 13", "s": "a + 5", "t": "s + 13", "w": "t + 14", "x": "w + 6", "z": 19}, "premises": {"z": 19}, "target": "m"}, "answer": {"steps": [["v", "f + 3", "f + 10"], ["f", "j + 18", "j + 28"], ["j", "c + 6", "c + 34"], ["c", "g + 6", "g + 40"], ["g", "z + 12", "z + 52"], ["z", 19, "71"]], "target_var_name": "m", "target_value": 71, "value_dict": {"z": 19}, "is_reverse": true}} | 19,600 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = z + 16; w = t + 14; m = v + 7; t = s + 13; v = f + 3; j = c + 6; f = j + 18; a = r + 13; c = g + 6; s = a + 5; z = 19; g = z + 12; x = w + 6. Given that z = 19, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 3 to m, which gives m = f + 10.\n2. Substitute f = j + 18 to m, which gives m = j + 28.\n3. Substitute j = c + 6 to m, which gives m = c + 34.\n4. Substitute c = g + 6 to m, which gives m = g + 40.\n5. Substitute g = z + 12 to m, which gives m = z + 52.\n6. Substitute z = 19 to m, which gives m = 71.\n\nThus, the final answer is m = \\boxed{71}.",
"index": 19600,
"question": "Suppose a collection of variables is related by the following definitions: r = z + 16; w = t + 14; m = v + 7; t = s + 13; v = f + 3; j = c + 6; f = j + 18; a = r + 13; c = g + 6; s = a + 5; z = 19; g = z + 12; x = w + 6. Given that z = 19, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"v": "y + 4", "h": "v + 1", "j": "h + 13", "k": "j + 12", "s": "k + 12", "r": "s + 18", "b": "y + 8", "l": "b + 20", "q": "l + 12", "t": "q + 5", "u": "t + 3", "c": "u + 17", "y": 18}, "premises": {"y": 18}, "target": "r"}, "answer": {"steps": [["s", "k + 12", "k + 30"], ["k", "j + 12", "j + 42"], ["j", "h + 13", "h + 55"], ["h", "v + 1", "v + 56"], ["v", "y + 4", "y + 60"], ["y", 18, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"y": 18}, "is_reverse": true}} | 19,601 | 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 = k + 12; c = u + 17; v = y + 4; q = l + 12; j = h + 13; k = j + 12; b = y + 8; u = t + 3; t = q + 5; l = b + 20; y = 18; h = v + 1; r = s + 18. If y = 18, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 12 to r, which gives r = k + 30.\n2. Substitute k = j + 12 to r, which gives r = j + 42.\n3. Substitute j = h + 13 to r, which gives r = h + 55.\n4. Substitute h = v + 1 to r, which gives r = v + 56.\n5. Substitute v = y + 4 to r, which gives r = y + 60.\n6. Substitute y = 18 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 19601,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = k + 12; c = u + 17; v = y + 4; q = l + 12; j = h + 13; k = j + 12; b = y + 8; u = t + 3; t = q + 5; l = b + 20; y = 18; h = v + 1; r = s + 18. If y = 18, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"b": "h + 17", "s": "b + 19", "l": "s + 7", "c": "l + 15", "f": "c + 3", "e": "f + 4", "m": "h + 11", "o": "m + 4", "x": "o + 7", "w": "x + 14", "q": "w + 17", "g": "q + 11", "h": 12}, "premises": {"h": 12}, "target": "e"}, "answer": {"steps": [["f", "c + 3", "c + 7"], ["c", "l + 15", "l + 22"], ["l", "s + 7", "s + 29"], ["s", "b + 19", "b + 48"], ["b", "h + 17", "h + 65"], ["h", 12, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"h": 12}, "is_reverse": true}} | 19,602 | 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 = l + 15; w = x + 14; e = f + 4; q = w + 17; o = m + 4; g = q + 11; x = o + 7; h = 12; s = b + 19; b = h + 17; m = h + 11; f = c + 3; l = s + 7. If h = 12, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 3 to e, which gives e = c + 7.\n2. Substitute c = l + 15 to e, which gives e = l + 22.\n3. Substitute l = s + 7 to e, which gives e = s + 29.\n4. Substitute s = b + 19 to e, which gives e = b + 48.\n5. Substitute b = h + 17 to e, which gives e = h + 65.\n6. Substitute h = 12 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 19602,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = l + 15; w = x + 14; e = f + 4; q = w + 17; o = m + 4; g = q + 11; x = o + 7; h = 12; s = b + 19; b = h + 17; m = h + 11; f = c + 3; l = s + 7. If h = 12, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 19", "g": "d + 17", "i": "g + 1", "a": "i + 13", "x": "a + 14", "l": "x + 2", "f": "z + 12", "t": "f + 11", "h": "t + 20", "c": "h + 17", "p": "c + 9", "s": "p + 1", "z": 6}, "premises": {"z": 6}, "target": "l"}, "answer": {"steps": [["x", "a + 14", "a + 16"], ["a", "i + 13", "i + 29"], ["i", "g + 1", "g + 30"], ["g", "d + 17", "d + 47"], ["d", "z + 19", "z + 66"], ["z", 6, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"z": 6}, "is_reverse": true}} | 19,603 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = z + 12; l = x + 2; d = z + 19; g = d + 17; c = h + 17; p = c + 9; i = g + 1; h = t + 20; s = p + 1; x = a + 14; t = f + 11; z = 6; a = i + 13. Given that z = 6, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 14 to l, which gives l = a + 16.\n2. Substitute a = i + 13 to l, which gives l = i + 29.\n3. Substitute i = g + 1 to l, which gives l = g + 30.\n4. Substitute g = d + 17 to l, which gives l = d + 47.\n5. Substitute d = z + 19 to l, which gives l = z + 66.\n6. Substitute z = 6 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 19603,
"question": "Suppose a collection of variables is related by the following definitions: f = z + 12; l = x + 2; d = z + 19; g = d + 17; c = h + 17; p = c + 9; i = g + 1; h = t + 20; s = p + 1; x = a + 14; t = f + 11; z = 6; a = i + 13. Given that z = 6, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 5", "v": "m + 15", "i": "v + 7", "d": "i + 2", "y": "d + 10", "g": "y + 4", "u": "s + 3", "a": "u + 18", "k": "a + 10", "q": "k + 2", "r": "q + 15", "j": "r + 15", "s": 16}, "premises": {"s": 16}, "target": "g"}, "answer": {"steps": [["y", "d + 10", "d + 14"], ["d", "i + 2", "i + 16"], ["i", "v + 7", "v + 23"], ["v", "m + 15", "m + 38"], ["m", "s + 5", "s + 43"], ["s", 16, "59"]], "target_var_name": "g", "target_value": 59, "value_dict": {"s": 16}, "is_reverse": true}} | 19,604 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = a + 10; g = y + 4; q = k + 2; y = d + 10; a = u + 18; v = m + 15; i = v + 7; j = r + 15; r = q + 15; d = i + 2; u = s + 3; s = 16; m = s + 5. Given that s = 16, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 10 to g, which gives g = d + 14.\n2. Substitute d = i + 2 to g, which gives g = i + 16.\n3. Substitute i = v + 7 to g, which gives g = v + 23.\n4. Substitute v = m + 15 to g, which gives g = m + 38.\n5. Substitute m = s + 5 to g, which gives g = s + 43.\n6. Substitute s = 16 to g, which gives g = 59.\n\nThus, the final answer is g = \\boxed{59}.",
"index": 19604,
"question": "Suppose a collection of variables is related by the following definitions: k = a + 10; g = y + 4; q = k + 2; y = d + 10; a = u + 18; v = m + 15; i = v + 7; j = r + 15; r = q + 15; d = i + 2; u = s + 3; s = 16; m = s + 5. Given that s = 16, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"p": "l + 14", "t": "p + 15", "y": "t + 7", "r": "y + 13", "f": "r + 1", "v": "f + 18", "i": "l + 10", "c": "i + 2", "u": "c + 13", "j": "u + 4", "s": "j + 18", "e": "s + 19", "l": 7}, "premises": {"l": 7}, "target": "v"}, "answer": {"steps": [["f", "r + 1", "r + 19"], ["r", "y + 13", "y + 32"], ["y", "t + 7", "t + 39"], ["t", "p + 15", "p + 54"], ["p", "l + 14", "l + 68"], ["l", 7, "75"]], "target_var_name": "v", "target_value": 75, "value_dict": {"l": 7}, "is_reverse": true}} | 19,605 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = y + 13; y = t + 7; t = p + 15; c = i + 2; i = l + 10; v = f + 18; p = l + 14; f = r + 1; s = j + 18; u = c + 13; l = 7; e = s + 19; j = u + 4. Given that l = 7, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 1 to v, which gives v = r + 19.\n2. Substitute r = y + 13 to v, which gives v = y + 32.\n3. Substitute y = t + 7 to v, which gives v = t + 39.\n4. Substitute t = p + 15 to v, which gives v = p + 54.\n5. Substitute p = l + 14 to v, which gives v = l + 68.\n6. Substitute l = 7 to v, which gives v = 75.\n\nThus, the final answer is v = \\boxed{75}.",
"index": 19605,
"question": "Suppose a collection of variables is related by the following definitions: r = y + 13; y = t + 7; t = p + 15; c = i + 2; i = l + 10; v = f + 18; p = l + 14; f = r + 1; s = j + 18; u = c + 13; l = 7; e = s + 19; j = u + 4. Given that l = 7, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 11", "m": "v + 11", "r": "m + 11", "q": "r + 13", "a": "q + 12", "b": "a + 8", "f": "l + 14", "o": "f + 12", "n": "o + 6", "u": "n + 10", "y": "u + 15", "j": "y + 3", "l": 12}, "premises": {"l": 12}, "target": "b"}, "answer": {"steps": [["a", "q + 12", "q + 20"], ["q", "r + 13", "r + 33"], ["r", "m + 11", "m + 44"], ["m", "v + 11", "v + 55"], ["v", "l + 11", "l + 66"], ["l", 12, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"l": 12}, "is_reverse": true}} | 19,606 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = v + 11; v = l + 11; l = 12; a = q + 12; b = a + 8; f = l + 14; n = o + 6; u = n + 10; r = m + 11; o = f + 12; j = y + 3; y = u + 15; q = r + 13. Given that l = 12, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 12 to b, which gives b = q + 20.\n2. Substitute q = r + 13 to b, which gives b = r + 33.\n3. Substitute r = m + 11 to b, which gives b = m + 44.\n4. Substitute m = v + 11 to b, which gives b = v + 55.\n5. Substitute v = l + 11 to b, which gives b = l + 66.\n6. Substitute l = 12 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 19606,
"question": "Suppose a collection of variables is related by the following definitions: m = v + 11; v = l + 11; l = 12; a = q + 12; b = a + 8; f = l + 14; n = o + 6; u = n + 10; r = m + 11; o = f + 12; j = y + 3; y = u + 15; q = r + 13. Given that l = 12, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"l": "s + 6", "i": "l + 13", "j": "i + 13", "b": "j + 19", "k": "b + 6", "u": "k + 1", "r": "s + 13", "d": "r + 20", "p": "d + 3", "f": "p + 1", "w": "f + 8", "y": "w + 11", "s": 17}, "premises": {"s": 17}, "target": "u"}, "answer": {"steps": [["k", "b + 6", "b + 7"], ["b", "j + 19", "j + 26"], ["j", "i + 13", "i + 39"], ["i", "l + 13", "l + 52"], ["l", "s + 6", "s + 58"], ["s", 17, "75"]], "target_var_name": "u", "target_value": 75, "value_dict": {"s": 17}, "is_reverse": true}} | 19,607 | 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 = j + 19; w = f + 8; s = 17; p = d + 3; y = w + 11; u = k + 1; l = s + 6; f = p + 1; i = l + 13; r = s + 13; j = i + 13; d = r + 20; k = b + 6. If s = 17, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 6 to u, which gives u = b + 7.\n2. Substitute b = j + 19 to u, which gives u = j + 26.\n3. Substitute j = i + 13 to u, which gives u = i + 39.\n4. Substitute i = l + 13 to u, which gives u = l + 52.\n5. Substitute l = s + 6 to u, which gives u = s + 58.\n6. Substitute s = 17 to u, which gives u = 75.\n\nThus, the final answer is u = \\boxed{75}.",
"index": 19607,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 19; w = f + 8; s = 17; p = d + 3; y = w + 11; u = k + 1; l = s + 6; f = p + 1; i = l + 13; r = s + 13; j = i + 13; d = r + 20; k = b + 6. If s = 17, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 2", "p": "b + 16", "i": "p + 12", "r": "i + 17", "a": "r + 11", "g": "a + 5", "t": "d + 12", "n": "t + 11", "o": "n + 9", "w": "o + 12", "s": "w + 7", "q": "s + 6", "d": 18}, "premises": {"d": 18}, "target": "g"}, "answer": {"steps": [["a", "r + 11", "r + 16"], ["r", "i + 17", "i + 33"], ["i", "p + 12", "p + 45"], ["p", "b + 16", "b + 61"], ["b", "d + 2", "d + 63"], ["d", 18, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"d": 18}, "is_reverse": true}} | 19,608 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 11; d = 18; o = n + 9; q = s + 6; p = b + 16; a = r + 11; b = d + 2; w = o + 12; s = w + 7; r = i + 17; t = d + 12; i = p + 12; g = a + 5. If d = 18, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 11 to g, which gives g = r + 16.\n2. Substitute r = i + 17 to g, which gives g = i + 33.\n3. Substitute i = p + 12 to g, which gives g = p + 45.\n4. Substitute p = b + 16 to g, which gives g = b + 61.\n5. Substitute b = d + 2 to g, which gives g = d + 63.\n6. Substitute d = 18 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 19608,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 11; d = 18; o = n + 9; q = s + 6; p = b + 16; a = r + 11; b = d + 2; w = o + 12; s = w + 7; r = i + 17; t = d + 12; i = p + 12; g = a + 5. If d = 18, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"d": "e + 6", "u": "d + 6", "c": "u + 3", "q": "c + 16", "i": "q + 7", "x": "i + 6", "t": "e + 10", "r": "t + 2", "w": "r + 17", "h": "w + 4", "b": "h + 11", "s": "b + 18", "e": 7}, "premises": {"e": 7}, "target": "x"}, "answer": {"steps": [["i", "q + 7", "q + 13"], ["q", "c + 16", "c + 29"], ["c", "u + 3", "u + 32"], ["u", "d + 6", "d + 38"], ["d", "e + 6", "e + 44"], ["e", 7, "51"]], "target_var_name": "x", "target_value": 51, "value_dict": {"e": 7}, "is_reverse": true}} | 19,609 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = r + 17; e = 7; s = b + 18; u = d + 6; t = e + 10; c = u + 3; q = c + 16; x = i + 6; h = w + 4; d = e + 6; b = h + 11; r = t + 2; i = q + 7. If e = 7, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 7 to x, which gives x = q + 13.\n2. Substitute q = c + 16 to x, which gives x = c + 29.\n3. Substitute c = u + 3 to x, which gives x = u + 32.\n4. Substitute u = d + 6 to x, which gives x = d + 38.\n5. Substitute d = e + 6 to x, which gives x = e + 44.\n6. Substitute e = 7 to x, which gives x = 51.\n\nThus, the final answer is x = \\boxed{51}.",
"index": 19609,
"question": "Consider a system of variables where each variable is defined as follows: w = r + 17; e = 7; s = b + 18; u = d + 6; t = e + 10; c = u + 3; q = c + 16; x = i + 6; h = w + 4; d = e + 6; b = h + 11; r = t + 2; i = q + 7. If e = 7, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 8", "v": "q + 18", "c": "v + 2", "p": "c + 3", "d": "p + 5", "m": "d + 3", "h": "j + 17", "e": "h + 12", "i": "e + 7", "z": "i + 16", "b": "z + 19", "g": "b + 20", "j": 20}, "premises": {"j": 20}, "target": "m"}, "answer": {"steps": [["d", "p + 5", "p + 8"], ["p", "c + 3", "c + 11"], ["c", "v + 2", "v + 13"], ["v", "q + 18", "q + 31"], ["q", "j + 8", "j + 39"], ["j", 20, "59"]], "target_var_name": "m", "target_value": 59, "value_dict": {"j": 20}, "is_reverse": true}} | 19,610 | 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 + 12; j = 20; v = q + 18; h = j + 17; d = p + 5; g = b + 20; i = e + 7; z = i + 16; p = c + 3; b = z + 19; c = v + 2; m = d + 3; q = j + 8. If j = 20, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 5 to m, which gives m = p + 8.\n2. Substitute p = c + 3 to m, which gives m = c + 11.\n3. Substitute c = v + 2 to m, which gives m = v + 13.\n4. Substitute v = q + 18 to m, which gives m = q + 31.\n5. Substitute q = j + 8 to m, which gives m = j + 39.\n6. Substitute j = 20 to m, which gives m = 59.\n\nThus, the final answer is m = \\boxed{59}.",
"index": 19610,
"question": "Consider a system of variables where each variable is defined as follows: e = h + 12; j = 20; v = q + 18; h = j + 17; d = p + 5; g = b + 20; i = e + 7; z = i + 16; p = c + 3; b = z + 19; c = v + 2; m = d + 3; q = j + 8. If j = 20, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "f + 16", "n": "q + 19", "g": "n + 1", "x": "g + 20", "e": "x + 1", "u": "e + 7", "j": "f + 6", "v": "j + 5", "l": "v + 2", "i": "l + 9", "z": "i + 12", "m": "z + 8", "f": 13}, "premises": {"f": 13}, "target": "u"}, "answer": {"steps": [["e", "x + 1", "x + 8"], ["x", "g + 20", "g + 28"], ["g", "n + 1", "n + 29"], ["n", "q + 19", "q + 48"], ["q", "f + 16", "f + 64"], ["f", 13, "77"]], "target_var_name": "u", "target_value": 77, "value_dict": {"f": 13}, "is_reverse": true}} | 19,611 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 16; e = x + 1; j = f + 6; g = n + 1; n = q + 19; m = z + 8; i = l + 9; l = v + 2; x = g + 20; f = 13; v = j + 5; z = i + 12; u = e + 7. If f = 13, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 1 to u, which gives u = x + 8.\n2. Substitute x = g + 20 to u, which gives u = g + 28.\n3. Substitute g = n + 1 to u, which gives u = n + 29.\n4. Substitute n = q + 19 to u, which gives u = q + 48.\n5. Substitute q = f + 16 to u, which gives u = f + 64.\n6. Substitute f = 13 to u, which gives u = 77.\n\nThus, the final answer is u = \\boxed{77}.",
"index": 19611,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 16; e = x + 1; j = f + 6; g = n + 1; n = q + 19; m = z + 8; i = l + 9; l = v + 2; x = g + 20; f = 13; v = j + 5; z = i + 12; u = e + 7. If f = 13, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 9", "n": "o + 16", "l": "n + 3", "f": "l + 4", "z": "f + 6", "d": "z + 2", "i": "h + 4", "r": "i + 10", "y": "r + 1", "g": "y + 9", "b": "g + 7", "v": "b + 13", "h": 8}, "premises": {"h": 8}, "target": "d"}, "answer": {"steps": [["z", "f + 6", "f + 8"], ["f", "l + 4", "l + 12"], ["l", "n + 3", "n + 15"], ["n", "o + 16", "o + 31"], ["o", "h + 9", "h + 40"], ["h", 8, "48"]], "target_var_name": "d", "target_value": 48, "value_dict": {"h": 8}, "is_reverse": true}} | 19,612 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = z + 2; g = y + 9; y = r + 1; o = h + 9; n = o + 16; h = 8; l = n + 3; z = f + 6; b = g + 7; r = i + 10; i = h + 4; v = b + 13; f = l + 4. If h = 8, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 6 to d, which gives d = f + 8.\n2. Substitute f = l + 4 to d, which gives d = l + 12.\n3. Substitute l = n + 3 to d, which gives d = n + 15.\n4. Substitute n = o + 16 to d, which gives d = o + 31.\n5. Substitute o = h + 9 to d, which gives d = h + 40.\n6. Substitute h = 8 to d, which gives d = 48.\n\nThus, the final answer is d = \\boxed{48}.",
"index": 19612,
"question": "Consider a system of variables where each variable is defined as follows: d = z + 2; g = y + 9; y = r + 1; o = h + 9; n = o + 16; h = 8; l = n + 3; z = f + 6; b = g + 7; r = i + 10; i = h + 4; v = b + 13; f = l + 4. If h = 8, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 17", "r": "k + 12", "j": "r + 7", "h": "j + 3", "c": "h + 9", "v": "c + 11", "o": "u + 6", "p": "o + 12", "m": "p + 15", "a": "m + 18", "q": "a + 5", "b": "q + 4", "u": 3}, "premises": {"u": 3}, "target": "v"}, "answer": {"steps": [["c", "h + 9", "h + 20"], ["h", "j + 3", "j + 23"], ["j", "r + 7", "r + 30"], ["r", "k + 12", "k + 42"], ["k", "u + 17", "u + 59"], ["u", 3, "62"]], "target_var_name": "v", "target_value": 62, "value_dict": {"u": 3}, "is_reverse": true}} | 19,613 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = h + 9; b = q + 4; q = a + 5; j = r + 7; r = k + 12; a = m + 18; p = o + 12; m = p + 15; u = 3; k = u + 17; v = c + 11; h = j + 3; o = u + 6. If u = 3, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 9 to v, which gives v = h + 20.\n2. Substitute h = j + 3 to v, which gives v = j + 23.\n3. Substitute j = r + 7 to v, which gives v = r + 30.\n4. Substitute r = k + 12 to v, which gives v = k + 42.\n5. Substitute k = u + 17 to v, which gives v = u + 59.\n6. Substitute u = 3 to v, which gives v = 62.\n\nThus, the final answer is v = \\boxed{62}.",
"index": 19613,
"question": "Consider a system of variables where each variable is defined as follows: c = h + 9; b = q + 4; q = a + 5; j = r + 7; r = k + 12; a = m + 18; p = o + 12; m = p + 15; u = 3; k = u + 17; v = c + 11; h = j + 3; o = u + 6. If u = 3, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "i + 20", "p": "h + 1", "x": "p + 19", "s": "x + 15", "q": "s + 3", "e": "q + 20", "f": "i + 13", "b": "f + 8", "t": "b + 7", "g": "t + 11", "d": "g + 2", "m": "d + 1", "i": 14}, "premises": {"i": 14}, "target": "e"}, "answer": {"steps": [["q", "s + 3", "s + 23"], ["s", "x + 15", "x + 38"], ["x", "p + 19", "p + 57"], ["p", "h + 1", "h + 58"], ["h", "i + 20", "i + 78"], ["i", 14, "92"]], "target_var_name": "e", "target_value": 92, "value_dict": {"i": 14}, "is_reverse": true}} | 19,614 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = t + 11; m = d + 1; x = p + 19; p = h + 1; t = b + 7; e = q + 20; h = i + 20; i = 14; b = f + 8; q = s + 3; d = g + 2; f = i + 13; s = x + 15. Given that i = 14, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 3 to e, which gives e = s + 23.\n2. Substitute s = x + 15 to e, which gives e = x + 38.\n3. Substitute x = p + 19 to e, which gives e = p + 57.\n4. Substitute p = h + 1 to e, which gives e = h + 58.\n5. Substitute h = i + 20 to e, which gives e = i + 78.\n6. Substitute i = 14 to e, which gives e = 92.\n\nThus, the final answer is e = \\boxed{92}.",
"index": 19614,
"question": "Suppose a collection of variables is related by the following definitions: g = t + 11; m = d + 1; x = p + 19; p = h + 1; t = b + 7; e = q + 20; h = i + 20; i = 14; b = f + 8; q = s + 3; d = g + 2; f = i + 13; s = x + 15. Given that i = 14, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 17", "y": "d + 15", "r": "y + 10", "p": "r + 5", "a": "p + 3", "t": "a + 9", "x": "q + 11", "b": "x + 10", "v": "b + 7", "e": "v + 19", "z": "e + 9", "u": "z + 15", "q": 3}, "premises": {"q": 3}, "target": "t"}, "answer": {"steps": [["a", "p + 3", "p + 12"], ["p", "r + 5", "r + 17"], ["r", "y + 10", "y + 27"], ["y", "d + 15", "d + 42"], ["d", "q + 17", "q + 59"], ["q", 3, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"q": 3}, "is_reverse": true}} | 19,615 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = y + 10; b = x + 10; q = 3; a = p + 3; v = b + 7; p = r + 5; d = q + 17; y = d + 15; e = v + 19; z = e + 9; t = a + 9; x = q + 11; u = z + 15. Given that q = 3, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 3 to t, which gives t = p + 12.\n2. Substitute p = r + 5 to t, which gives t = r + 17.\n3. Substitute r = y + 10 to t, which gives t = y + 27.\n4. Substitute y = d + 15 to t, which gives t = d + 42.\n5. Substitute d = q + 17 to t, which gives t = q + 59.\n6. Substitute q = 3 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 19615,
"question": "Suppose a collection of variables is related by the following definitions: r = y + 10; b = x + 10; q = 3; a = p + 3; v = b + 7; p = r + 5; d = q + 17; y = d + 15; e = v + 19; z = e + 9; t = a + 9; x = q + 11; u = z + 15. Given that q = 3, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"l": "i + 7", "z": "l + 18", "b": "z + 20", "r": "b + 11", "d": "r + 16", "n": "d + 16", "t": "i + 10", "c": "t + 20", "y": "c + 17", "h": "y + 2", "a": "h + 2", "j": "a + 3", "i": 4}, "premises": {"i": 4}, "target": "n"}, "answer": {"steps": [["d", "r + 16", "r + 32"], ["r", "b + 11", "b + 43"], ["b", "z + 20", "z + 63"], ["z", "l + 18", "l + 81"], ["l", "i + 7", "i + 88"], ["i", 4, "92"]], "target_var_name": "n", "target_value": 92, "value_dict": {"i": 4}, "is_reverse": true}} | 19,616 | 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 = i + 7; t = i + 10; y = c + 17; a = h + 2; r = b + 11; n = d + 16; h = y + 2; i = 4; b = z + 20; d = r + 16; c = t + 20; j = a + 3; z = l + 18. If i = 4, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 16 to n, which gives n = r + 32.\n2. Substitute r = b + 11 to n, which gives n = b + 43.\n3. Substitute b = z + 20 to n, which gives n = z + 63.\n4. Substitute z = l + 18 to n, which gives n = l + 81.\n5. Substitute l = i + 7 to n, which gives n = i + 88.\n6. Substitute i = 4 to n, which gives n = 92.\n\nThus, the final answer is n = \\boxed{92}.",
"index": 19616,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 7; t = i + 10; y = c + 17; a = h + 2; r = b + 11; n = d + 16; h = y + 2; i = 4; b = z + 20; d = r + 16; c = t + 20; j = a + 3; z = l + 18. If i = 4, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 19", "c": "k + 16", "q": "c + 20", "n": "q + 13", "x": "n + 9", "v": "x + 18", "o": "z + 12", "t": "o + 15", "l": "t + 7", "y": "l + 13", "p": "y + 5", "g": "p + 9", "z": 17}, "premises": {"z": 17}, "target": "v"}, "answer": {"steps": [["x", "n + 9", "n + 27"], ["n", "q + 13", "q + 40"], ["q", "c + 20", "c + 60"], ["c", "k + 16", "k + 76"], ["k", "z + 19", "z + 95"], ["z", 17, "112"]], "target_var_name": "v", "target_value": 112, "value_dict": {"z": 17}, "is_reverse": true}} | 19,617 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = z + 19; n = q + 13; y = l + 13; t = o + 15; c = k + 16; q = c + 20; x = n + 9; g = p + 9; l = t + 7; o = z + 12; z = 17; p = y + 5; v = x + 18. Given that z = 17, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 112,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 9 to v, which gives v = n + 27.\n2. Substitute n = q + 13 to v, which gives v = q + 40.\n3. Substitute q = c + 20 to v, which gives v = c + 60.\n4. Substitute c = k + 16 to v, which gives v = k + 76.\n5. Substitute k = z + 19 to v, which gives v = z + 95.\n6. Substitute z = 17 to v, which gives v = 112.\n\nThus, the final answer is v = \\boxed{112}.",
"index": 19617,
"question": "Suppose a collection of variables is related by the following definitions: k = z + 19; n = q + 13; y = l + 13; t = o + 15; c = k + 16; q = c + 20; x = n + 9; g = p + 9; l = t + 7; o = z + 12; z = 17; p = y + 5; v = x + 18. Given that z = 17, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"g": "s + 11", "a": "g + 2", "r": "a + 4", "p": "r + 12", "l": "p + 16", "c": "l + 4", "j": "s + 3", "d": "j + 10", "o": "d + 12", "z": "o + 19", "b": "z + 19", "h": "b + 11", "s": 7}, "premises": {"s": 7}, "target": "c"}, "answer": {"steps": [["l", "p + 16", "p + 20"], ["p", "r + 12", "r + 32"], ["r", "a + 4", "a + 36"], ["a", "g + 2", "g + 38"], ["g", "s + 11", "s + 49"], ["s", 7, "56"]], "target_var_name": "c", "target_value": 56, "value_dict": {"s": 7}, "is_reverse": true}} | 19,618 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = a + 4; a = g + 2; o = d + 12; d = j + 10; z = o + 19; p = r + 12; b = z + 19; j = s + 3; h = b + 11; l = p + 16; s = 7; c = l + 4; g = s + 11. Given that s = 7, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 16 to c, which gives c = p + 20.\n2. Substitute p = r + 12 to c, which gives c = r + 32.\n3. Substitute r = a + 4 to c, which gives c = a + 36.\n4. Substitute a = g + 2 to c, which gives c = g + 38.\n5. Substitute g = s + 11 to c, which gives c = s + 49.\n6. Substitute s = 7 to c, which gives c = 56.\n\nThus, the final answer is c = \\boxed{56}.",
"index": 19618,
"question": "Suppose a collection of variables is related by the following definitions: r = a + 4; a = g + 2; o = d + 12; d = j + 10; z = o + 19; p = r + 12; b = z + 19; j = s + 3; h = b + 11; l = p + 16; s = 7; c = l + 4; g = s + 11. Given that s = 7, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 17", "m": "r + 12", "p": "m + 10", "u": "p + 11", "n": "u + 19", "t": "n + 6", "c": "o + 10", "b": "c + 2", "z": "b + 7", "i": "z + 6", "g": "i + 16", "s": "g + 13", "o": 5}, "premises": {"o": 5}, "target": "t"}, "answer": {"steps": [["n", "u + 19", "u + 25"], ["u", "p + 11", "p + 36"], ["p", "m + 10", "m + 46"], ["m", "r + 12", "r + 58"], ["r", "o + 17", "o + 75"], ["o", 5, "80"]], "target_var_name": "t", "target_value": 80, "value_dict": {"o": 5}, "is_reverse": true}} | 19,619 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = r + 12; u = p + 11; p = m + 10; b = c + 2; t = n + 6; s = g + 13; c = o + 10; i = z + 6; r = o + 17; z = b + 7; n = u + 19; o = 5; g = i + 16. If o = 5, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 19 to t, which gives t = u + 25.\n2. Substitute u = p + 11 to t, which gives t = p + 36.\n3. Substitute p = m + 10 to t, which gives t = m + 46.\n4. Substitute m = r + 12 to t, which gives t = r + 58.\n5. Substitute r = o + 17 to t, which gives t = o + 75.\n6. Substitute o = 5 to t, which gives t = 80.\n\nThus, the final answer is t = \\boxed{80}.",
"index": 19619,
"question": "Consider a system of variables where each variable is defined as follows: m = r + 12; u = p + 11; p = m + 10; b = c + 2; t = n + 6; s = g + 13; c = o + 10; i = z + 6; r = o + 17; z = b + 7; n = u + 19; o = 5; g = i + 16. If o = 5, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 9", "a": "o + 9", "x": "a + 6", "m": "x + 4", "g": "m + 5", "s": "g + 5", "b": "f + 3", "t": "b + 16", "q": "t + 3", "p": "q + 19", "d": "p + 5", "k": "d + 6", "f": 9}, "premises": {"f": 9}, "target": "s"}, "answer": {"steps": [["g", "m + 5", "m + 10"], ["m", "x + 4", "x + 14"], ["x", "a + 6", "a + 20"], ["a", "o + 9", "o + 29"], ["o", "f + 9", "f + 38"], ["f", 9, "47"]], "target_var_name": "s", "target_value": 47, "value_dict": {"f": 9}, "is_reverse": true}} | 19,620 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 9; s = g + 5; d = p + 5; m = x + 4; a = o + 9; x = a + 6; t = b + 16; b = f + 3; k = d + 6; o = f + 9; q = t + 3; g = m + 5; p = q + 19. Given that f = 9, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 5 to s, which gives s = m + 10.\n2. Substitute m = x + 4 to s, which gives s = x + 14.\n3. Substitute x = a + 6 to s, which gives s = a + 20.\n4. Substitute a = o + 9 to s, which gives s = o + 29.\n5. Substitute o = f + 9 to s, which gives s = f + 38.\n6. Substitute f = 9 to s, which gives s = 47.\n\nThus, the final answer is s = \\boxed{47}.",
"index": 19620,
"question": "Suppose a collection of variables is related by the following definitions: f = 9; s = g + 5; d = p + 5; m = x + 4; a = o + 9; x = a + 6; t = b + 16; b = f + 3; k = d + 6; o = f + 9; q = t + 3; g = m + 5; p = q + 19. Given that f = 9, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 8", "w": "f + 10", "n": "w + 11", "t": "n + 20", "v": "t + 16", "i": "v + 14", "r": "o + 2", "c": "r + 3", "a": "c + 15", "x": "a + 7", "q": "x + 10", "p": "q + 2", "o": 4}, "premises": {"o": 4}, "target": "i"}, "answer": {"steps": [["v", "t + 16", "t + 30"], ["t", "n + 20", "n + 50"], ["n", "w + 11", "w + 61"], ["w", "f + 10", "f + 71"], ["f", "o + 8", "o + 79"], ["o", 4, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"o": 4}, "is_reverse": true}} | 19,621 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = q + 2; w = f + 10; x = a + 7; c = r + 3; o = 4; q = x + 10; n = w + 11; r = o + 2; f = o + 8; a = c + 15; i = v + 14; t = n + 20; v = t + 16. Given that o = 4, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 16 to i, which gives i = t + 30.\n2. Substitute t = n + 20 to i, which gives i = n + 50.\n3. Substitute n = w + 11 to i, which gives i = w + 61.\n4. Substitute w = f + 10 to i, which gives i = f + 71.\n5. Substitute f = o + 8 to i, which gives i = o + 79.\n6. Substitute o = 4 to i, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 19621,
"question": "Suppose a collection of variables is related by the following definitions: p = q + 2; w = f + 10; x = a + 7; c = r + 3; o = 4; q = x + 10; n = w + 11; r = o + 2; f = o + 8; a = c + 15; i = v + 14; t = n + 20; v = t + 16. Given that o = 4, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 15", "o": "y + 13", "d": "o + 10", "c": "d + 4", "f": "c + 2", "x": "f + 2", "b": "s + 7", "e": "b + 8", "q": "e + 17", "j": "q + 18", "g": "j + 7", "z": "g + 11", "s": 12}, "premises": {"s": 12}, "target": "x"}, "answer": {"steps": [["f", "c + 2", "c + 4"], ["c", "d + 4", "d + 8"], ["d", "o + 10", "o + 18"], ["o", "y + 13", "y + 31"], ["y", "s + 15", "s + 46"], ["s", 12, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"s": 12}, "is_reverse": true}} | 19,622 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = y + 13; z = g + 11; j = q + 18; d = o + 10; c = d + 4; x = f + 2; g = j + 7; y = s + 15; s = 12; f = c + 2; q = e + 17; e = b + 8; b = s + 7. Given that s = 12, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 2 to x, which gives x = c + 4.\n2. Substitute c = d + 4 to x, which gives x = d + 8.\n3. Substitute d = o + 10 to x, which gives x = o + 18.\n4. Substitute o = y + 13 to x, which gives x = y + 31.\n5. Substitute y = s + 15 to x, which gives x = s + 46.\n6. Substitute s = 12 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 19622,
"question": "Suppose a collection of variables is related by the following definitions: o = y + 13; z = g + 11; j = q + 18; d = o + 10; c = d + 4; x = f + 2; g = j + 7; y = s + 15; s = 12; f = c + 2; q = e + 17; e = b + 8; b = s + 7. Given that s = 12, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 14", "z": "m + 9", "x": "z + 11", "w": "x + 15", "y": "w + 5", "f": "y + 20", "h": "t + 8", "s": "h + 5", "c": "s + 17", "n": "c + 2", "a": "n + 4", "u": "a + 8", "t": 10}, "premises": {"t": 10}, "target": "f"}, "answer": {"steps": [["y", "w + 5", "w + 25"], ["w", "x + 15", "x + 40"], ["x", "z + 11", "z + 51"], ["z", "m + 9", "m + 60"], ["m", "t + 14", "t + 74"], ["t", 10, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"t": 10}, "is_reverse": true}} | 19,623 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = 10; m = t + 14; s = h + 5; n = c + 2; w = x + 15; h = t + 8; y = w + 5; c = s + 17; x = z + 11; z = m + 9; u = a + 8; a = n + 4; f = y + 20. Given that t = 10, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 5 to f, which gives f = w + 25.\n2. Substitute w = x + 15 to f, which gives f = x + 40.\n3. Substitute x = z + 11 to f, which gives f = z + 51.\n4. Substitute z = m + 9 to f, which gives f = m + 60.\n5. Substitute m = t + 14 to f, which gives f = t + 74.\n6. Substitute t = 10 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 19623,
"question": "Suppose a collection of variables is related by the following definitions: t = 10; m = t + 14; s = h + 5; n = c + 2; w = x + 15; h = t + 8; y = w + 5; c = s + 17; x = z + 11; z = m + 9; u = a + 8; a = n + 4; f = y + 20. Given that t = 10, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"y": "g + 18", "w": "y + 14", "l": "w + 16", "a": "l + 13", "v": "a + 20", "b": "v + 18", "j": "g + 12", "x": "j + 16", "i": "x + 9", "c": "i + 12", "u": "c + 4", "f": "u + 2", "g": 16}, "premises": {"g": 16}, "target": "b"}, "answer": {"steps": [["v", "a + 20", "a + 38"], ["a", "l + 13", "l + 51"], ["l", "w + 16", "w + 67"], ["w", "y + 14", "y + 81"], ["y", "g + 18", "g + 99"], ["g", 16, "115"]], "target_var_name": "b", "target_value": 115, "value_dict": {"g": 16}, "is_reverse": true}} | 19,624 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = c + 4; x = j + 16; c = i + 12; l = w + 16; f = u + 2; j = g + 12; i = x + 9; b = v + 18; g = 16; a = l + 13; v = a + 20; y = g + 18; w = y + 14. Given that g = 16, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 115,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 20 to b, which gives b = a + 38.\n2. Substitute a = l + 13 to b, which gives b = l + 51.\n3. Substitute l = w + 16 to b, which gives b = w + 67.\n4. Substitute w = y + 14 to b, which gives b = y + 81.\n5. Substitute y = g + 18 to b, which gives b = g + 99.\n6. Substitute g = 16 to b, which gives b = 115.\n\nThus, the final answer is b = \\boxed{115}.",
"index": 19624,
"question": "Suppose a collection of variables is related by the following definitions: u = c + 4; x = j + 16; c = i + 12; l = w + 16; f = u + 2; j = g + 12; i = x + 9; b = v + 18; g = 16; a = l + 13; v = a + 20; y = g + 18; w = y + 14. Given that g = 16, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 20", "e": "b + 18", "r": "e + 10", "i": "r + 3", "u": "i + 9", "v": "u + 19", "j": "o + 17", "z": "j + 9", "x": "z + 9", "n": "x + 11", "w": "n + 12", "k": "w + 15", "o": 8}, "premises": {"o": 8}, "target": "v"}, "answer": {"steps": [["u", "i + 9", "i + 28"], ["i", "r + 3", "r + 31"], ["r", "e + 10", "e + 41"], ["e", "b + 18", "b + 59"], ["b", "o + 20", "o + 79"], ["o", 8, "87"]], "target_var_name": "v", "target_value": 87, "value_dict": {"o": 8}, "is_reverse": true}} | 19,625 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = 8; b = o + 20; x = z + 9; v = u + 19; z = j + 9; i = r + 3; j = o + 17; n = x + 11; w = n + 12; e = b + 18; u = i + 9; k = w + 15; r = e + 10. If o = 8, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 9 to v, which gives v = i + 28.\n2. Substitute i = r + 3 to v, which gives v = r + 31.\n3. Substitute r = e + 10 to v, which gives v = e + 41.\n4. Substitute e = b + 18 to v, which gives v = b + 59.\n5. Substitute b = o + 20 to v, which gives v = o + 79.\n6. Substitute o = 8 to v, which gives v = 87.\n\nThus, the final answer is v = \\boxed{87}.",
"index": 19625,
"question": "Consider a system of variables where each variable is defined as follows: o = 8; b = o + 20; x = z + 9; v = u + 19; z = j + 9; i = r + 3; j = o + 17; n = x + 11; w = n + 12; e = b + 18; u = i + 9; k = w + 15; r = e + 10. If o = 8, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"p": "t + 14", "z": "p + 14", "y": "z + 2", "v": "y + 6", "f": "v + 3", "h": "f + 18", "b": "t + 2", "m": "b + 11", "k": "m + 2", "w": "k + 6", "l": "w + 13", "u": "l + 12", "t": 13}, "premises": {"t": 13}, "target": "h"}, "answer": {"steps": [["f", "v + 3", "v + 21"], ["v", "y + 6", "y + 27"], ["y", "z + 2", "z + 29"], ["z", "p + 14", "p + 43"], ["p", "t + 14", "t + 57"], ["t", 13, "70"]], "target_var_name": "h", "target_value": 70, "value_dict": {"t": 13}, "is_reverse": true}} | 19,626 | 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 = t + 14; y = z + 2; l = w + 13; z = p + 14; h = f + 18; t = 13; m = b + 11; k = m + 2; b = t + 2; f = v + 3; v = y + 6; w = k + 6; u = l + 12. If t = 13, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 3 to h, which gives h = v + 21.\n2. Substitute v = y + 6 to h, which gives h = y + 27.\n3. Substitute y = z + 2 to h, which gives h = z + 29.\n4. Substitute z = p + 14 to h, which gives h = p + 43.\n5. Substitute p = t + 14 to h, which gives h = t + 57.\n6. Substitute t = 13 to h, which gives h = 70.\n\nThus, the final answer is h = \\boxed{70}.",
"index": 19626,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 14; y = z + 2; l = w + 13; z = p + 14; h = f + 18; t = 13; m = b + 11; k = m + 2; b = t + 2; f = v + 3; v = y + 6; w = k + 6; u = l + 12. If t = 13, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 18", "b": "y + 5", "z": "b + 16", "l": "z + 2", "u": "l + 9", "q": "u + 19", "j": "m + 14", "g": "j + 8", "k": "g + 17", "a": "k + 7", "h": "a + 10", "v": "h + 11", "m": 4}, "premises": {"m": 4}, "target": "q"}, "answer": {"steps": [["u", "l + 9", "l + 28"], ["l", "z + 2", "z + 30"], ["z", "b + 16", "b + 46"], ["b", "y + 5", "y + 51"], ["y", "m + 18", "m + 69"], ["m", 4, "73"]], "target_var_name": "q", "target_value": 73, "value_dict": {"m": 4}, "is_reverse": true}} | 19,627 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 8; a = k + 7; j = m + 14; l = z + 2; m = 4; b = y + 5; q = u + 19; h = a + 10; y = m + 18; z = b + 16; u = l + 9; v = h + 11; k = g + 17. Given that m = 4, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 9 to q, which gives q = l + 28.\n2. Substitute l = z + 2 to q, which gives q = z + 30.\n3. Substitute z = b + 16 to q, which gives q = b + 46.\n4. Substitute b = y + 5 to q, which gives q = y + 51.\n5. Substitute y = m + 18 to q, which gives q = m + 69.\n6. Substitute m = 4 to q, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 19627,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 8; a = k + 7; j = m + 14; l = z + 2; m = 4; b = y + 5; q = u + 19; h = a + 10; y = m + 18; z = b + 16; u = l + 9; v = h + 11; k = g + 17. Given that m = 4, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 9", "o": "w + 8", "x": "o + 7", "t": "x + 4", "h": "t + 18", "g": "h + 18", "v": "s + 7", "p": "v + 19", "c": "p + 17", "y": "c + 1", "u": "y + 8", "l": "u + 13", "s": 3}, "premises": {"s": 3}, "target": "g"}, "answer": {"steps": [["h", "t + 18", "t + 36"], ["t", "x + 4", "x + 40"], ["x", "o + 7", "o + 47"], ["o", "w + 8", "w + 55"], ["w", "s + 9", "s + 64"], ["s", 3, "67"]], "target_var_name": "g", "target_value": 67, "value_dict": {"s": 3}, "is_reverse": true}} | 19,628 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = 3; x = o + 7; t = x + 4; p = v + 19; c = p + 17; l = u + 13; y = c + 1; h = t + 18; o = w + 8; w = s + 9; g = h + 18; v = s + 7; u = y + 8. Given that s = 3, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 18 to g, which gives g = t + 36.\n2. Substitute t = x + 4 to g, which gives g = x + 40.\n3. Substitute x = o + 7 to g, which gives g = o + 47.\n4. Substitute o = w + 8 to g, which gives g = w + 55.\n5. Substitute w = s + 9 to g, which gives g = s + 64.\n6. Substitute s = 3 to g, which gives g = 67.\n\nThus, the final answer is g = \\boxed{67}.",
"index": 19628,
"question": "Suppose a collection of variables is related by the following definitions: s = 3; x = o + 7; t = x + 4; p = v + 19; c = p + 17; l = u + 13; y = c + 1; h = t + 18; o = w + 8; w = s + 9; g = h + 18; v = s + 7; u = y + 8. Given that s = 3, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"v": "y + 5", "z": "v + 5", "k": "z + 11", "r": "k + 1", "t": "r + 9", "o": "t + 8", "s": "y + 11", "p": "s + 12", "a": "p + 13", "u": "a + 19", "l": "u + 9", "q": "l + 4", "y": 13}, "premises": {"y": 13}, "target": "o"}, "answer": {"steps": [["t", "r + 9", "r + 17"], ["r", "k + 1", "k + 18"], ["k", "z + 11", "z + 29"], ["z", "v + 5", "v + 34"], ["v", "y + 5", "y + 39"], ["y", 13, "52"]], "target_var_name": "o", "target_value": 52, "value_dict": {"y": 13}, "is_reverse": true}} | 19,629 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = y + 5; r = k + 1; q = l + 4; y = 13; p = s + 12; o = t + 8; l = u + 9; k = z + 11; t = r + 9; z = v + 5; u = a + 19; s = y + 11; a = p + 13. If y = 13, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 9 to o, which gives o = r + 17.\n2. Substitute r = k + 1 to o, which gives o = k + 18.\n3. Substitute k = z + 11 to o, which gives o = z + 29.\n4. Substitute z = v + 5 to o, which gives o = v + 34.\n5. Substitute v = y + 5 to o, which gives o = y + 39.\n6. Substitute y = 13 to o, which gives o = 52.\n\nThus, the final answer is o = \\boxed{52}.",
"index": 19629,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = y + 5; r = k + 1; q = l + 4; y = 13; p = s + 12; o = t + 8; l = u + 9; k = z + 11; t = r + 9; z = v + 5; u = a + 19; s = y + 11; a = p + 13. If y = 13, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 17", "u": "e + 16", "q": "u + 3", "x": "q + 3", "m": "x + 11", "o": "m + 4", "y": "s + 19", "l": "y + 19", "g": "l + 18", "i": "g + 4", "k": "i + 5", "b": "k + 12", "s": 12}, "premises": {"s": 12}, "target": "o"}, "answer": {"steps": [["m", "x + 11", "x + 15"], ["x", "q + 3", "q + 18"], ["q", "u + 3", "u + 21"], ["u", "e + 16", "e + 37"], ["e", "s + 17", "s + 54"], ["s", 12, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"s": 12}, "is_reverse": true}} | 19,630 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = g + 4; b = k + 12; k = i + 5; o = m + 4; m = x + 11; x = q + 3; e = s + 17; g = l + 18; u = e + 16; s = 12; l = y + 19; y = s + 19; q = u + 3. Given that s = 12, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 11 to o, which gives o = x + 15.\n2. Substitute x = q + 3 to o, which gives o = q + 18.\n3. Substitute q = u + 3 to o, which gives o = u + 21.\n4. Substitute u = e + 16 to o, which gives o = e + 37.\n5. Substitute e = s + 17 to o, which gives o = s + 54.\n6. Substitute s = 12 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 19630,
"question": "Suppose a collection of variables is related by the following definitions: i = g + 4; b = k + 12; k = i + 5; o = m + 4; m = x + 11; x = q + 3; e = s + 17; g = l + 18; u = e + 16; s = 12; l = y + 19; y = s + 19; q = u + 3. Given that s = 12, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 16", "p": "y + 13", "x": "p + 19", "m": "x + 17", "z": "m + 18", "t": "z + 10", "e": "j + 1", "u": "e + 10", "g": "u + 1", "v": "g + 3", "h": "v + 17", "r": "h + 9", "j": 10}, "premises": {"j": 10}, "target": "t"}, "answer": {"steps": [["z", "m + 18", "m + 28"], ["m", "x + 17", "x + 45"], ["x", "p + 19", "p + 64"], ["p", "y + 13", "y + 77"], ["y", "j + 16", "j + 93"], ["j", 10, "103"]], "target_var_name": "t", "target_value": 103, "value_dict": {"j": 10}, "is_reverse": true}} | 19,631 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = u + 1; v = g + 3; x = p + 19; e = j + 1; j = 10; p = y + 13; y = j + 16; t = z + 10; m = x + 17; h = v + 17; r = h + 9; u = e + 10; z = m + 18. If j = 10, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 18 to t, which gives t = m + 28.\n2. Substitute m = x + 17 to t, which gives t = x + 45.\n3. Substitute x = p + 19 to t, which gives t = p + 64.\n4. Substitute p = y + 13 to t, which gives t = y + 77.\n5. Substitute y = j + 16 to t, which gives t = j + 93.\n6. Substitute j = 10 to t, which gives t = 103.\n\nThus, the final answer is t = \\boxed{103}.",
"index": 19631,
"question": "Consider a system of variables where each variable is defined as follows: g = u + 1; v = g + 3; x = p + 19; e = j + 1; j = 10; p = y + 13; y = j + 16; t = z + 10; m = x + 17; h = v + 17; r = h + 9; u = e + 10; z = m + 18. If j = 10, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 13", "i": "c + 6", "p": "i + 3", "j": "p + 11", "v": "j + 10", "z": "v + 13", "u": "f + 5", "l": "u + 20", "g": "l + 2", "r": "g + 2", "s": "r + 6", "e": "s + 3", "f": 13}, "premises": {"f": 13}, "target": "z"}, "answer": {"steps": [["v", "j + 10", "j + 23"], ["j", "p + 11", "p + 34"], ["p", "i + 3", "i + 37"], ["i", "c + 6", "c + 43"], ["c", "f + 13", "f + 56"], ["f", 13, "69"]], "target_var_name": "z", "target_value": 69, "value_dict": {"f": 13}, "is_reverse": true}} | 19,632 | 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 = l + 2; u = f + 5; l = u + 20; z = v + 13; v = j + 10; e = s + 3; p = i + 3; r = g + 2; j = p + 11; s = r + 6; c = f + 13; i = c + 6; f = 13. If f = 13, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 10 to z, which gives z = j + 23.\n2. Substitute j = p + 11 to z, which gives z = p + 34.\n3. Substitute p = i + 3 to z, which gives z = i + 37.\n4. Substitute i = c + 6 to z, which gives z = c + 43.\n5. Substitute c = f + 13 to z, which gives z = f + 56.\n6. Substitute f = 13 to z, which gives z = 69.\n\nThus, the final answer is z = \\boxed{69}.",
"index": 19632,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = l + 2; u = f + 5; l = u + 20; z = v + 13; v = j + 10; e = s + 3; p = i + 3; r = g + 2; j = p + 11; s = r + 6; c = f + 13; i = c + 6; f = 13. If f = 13, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 20", "f": "o + 16", "z": "f + 11", "e": "z + 10", "h": "e + 5", "p": "h + 17", "k": "q + 8", "d": "k + 5", "l": "d + 8", "c": "l + 16", "v": "c + 20", "x": "v + 15", "q": 6}, "premises": {"q": 6}, "target": "p"}, "answer": {"steps": [["h", "e + 5", "e + 22"], ["e", "z + 10", "z + 32"], ["z", "f + 11", "f + 43"], ["f", "o + 16", "o + 59"], ["o", "q + 20", "q + 79"], ["q", 6, "85"]], "target_var_name": "p", "target_value": 85, "value_dict": {"q": 6}, "is_reverse": true}} | 19,633 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = v + 15; z = f + 11; d = k + 5; o = q + 20; c = l + 16; h = e + 5; v = c + 20; p = h + 17; k = q + 8; f = o + 16; l = d + 8; e = z + 10; q = 6. If q = 6, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 5 to p, which gives p = e + 22.\n2. Substitute e = z + 10 to p, which gives p = z + 32.\n3. Substitute z = f + 11 to p, which gives p = f + 43.\n4. Substitute f = o + 16 to p, which gives p = o + 59.\n5. Substitute o = q + 20 to p, which gives p = q + 79.\n6. Substitute q = 6 to p, which gives p = 85.\n\nThus, the final answer is p = \\boxed{85}.",
"index": 19633,
"question": "Consider a system of variables where each variable is defined as follows: x = v + 15; z = f + 11; d = k + 5; o = q + 20; c = l + 16; h = e + 5; v = c + 20; p = h + 17; k = q + 8; f = o + 16; l = d + 8; e = z + 10; q = 6. If q = 6, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 11", "p": "s + 6", "t": "p + 20", "g": "t + 15", "q": "g + 11", "w": "q + 14", "l": "z + 4", "f": "l + 10", "d": "f + 11", "m": "d + 3", "c": "m + 6", "i": "c + 20", "z": 2}, "premises": {"z": 2}, "target": "w"}, "answer": {"steps": [["q", "g + 11", "g + 25"], ["g", "t + 15", "t + 40"], ["t", "p + 20", "p + 60"], ["p", "s + 6", "s + 66"], ["s", "z + 11", "z + 77"], ["z", 2, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"z": 2}, "is_reverse": true}} | 19,634 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = m + 6; f = l + 10; g = t + 15; i = c + 20; m = d + 3; t = p + 20; q = g + 11; d = f + 11; w = q + 14; l = z + 4; p = s + 6; s = z + 11; z = 2. If z = 2, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 11 to w, which gives w = g + 25.\n2. Substitute g = t + 15 to w, which gives w = t + 40.\n3. Substitute t = p + 20 to w, which gives w = p + 60.\n4. Substitute p = s + 6 to w, which gives w = s + 66.\n5. Substitute s = z + 11 to w, which gives w = z + 77.\n6. Substitute z = 2 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 19634,
"question": "Consider a system of variables where each variable is defined as follows: c = m + 6; f = l + 10; g = t + 15; i = c + 20; m = d + 3; t = p + 20; q = g + 11; d = f + 11; w = q + 14; l = z + 4; p = s + 6; s = z + 11; z = 2. If z = 2, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 3", "a": "e + 3", "f": "a + 9", "v": "f + 12", "h": "v + 14", "y": "h + 11", "z": "p + 19", "m": "z + 8", "q": "m + 2", "b": "q + 1", "d": "b + 4", "x": "d + 16", "p": 11}, "premises": {"p": 11}, "target": "y"}, "answer": {"steps": [["h", "v + 14", "v + 25"], ["v", "f + 12", "f + 37"], ["f", "a + 9", "a + 46"], ["a", "e + 3", "e + 49"], ["e", "p + 3", "p + 52"], ["p", 11, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"p": 11}, "is_reverse": true}} | 19,635 | 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 = z + 8; q = m + 2; b = q + 1; x = d + 16; e = p + 3; v = f + 12; z = p + 19; d = b + 4; f = a + 9; h = v + 14; a = e + 3; p = 11; y = h + 11. If p = 11, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 14 to y, which gives y = v + 25.\n2. Substitute v = f + 12 to y, which gives y = f + 37.\n3. Substitute f = a + 9 to y, which gives y = a + 46.\n4. Substitute a = e + 3 to y, which gives y = e + 49.\n5. Substitute e = p + 3 to y, which gives y = p + 52.\n6. Substitute p = 11 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 19635,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = z + 8; q = m + 2; b = q + 1; x = d + 16; e = p + 3; v = f + 12; z = p + 19; d = b + 4; f = a + 9; h = v + 14; a = e + 3; p = 11; y = h + 11. If p = 11, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"e": "f + 13", "k": "e + 5", "l": "k + 3", "w": "l + 14", "u": "w + 11", "a": "u + 3", "i": "f + 18", "o": "i + 10", "p": "o + 15", "z": "p + 14", "r": "z + 1", "t": "r + 14", "f": 14}, "premises": {"f": 14}, "target": "a"}, "answer": {"steps": [["u", "w + 11", "w + 14"], ["w", "l + 14", "l + 28"], ["l", "k + 3", "k + 31"], ["k", "e + 5", "e + 36"], ["e", "f + 13", "f + 49"], ["f", 14, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"f": 14}, "is_reverse": true}} | 19,636 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 18; a = u + 3; o = i + 10; k = e + 5; z = p + 14; r = z + 1; p = o + 15; l = k + 3; u = w + 11; f = 14; t = r + 14; w = l + 14; e = f + 13. If f = 14, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 11 to a, which gives a = w + 14.\n2. Substitute w = l + 14 to a, which gives a = l + 28.\n3. Substitute l = k + 3 to a, which gives a = k + 31.\n4. Substitute k = e + 5 to a, which gives a = e + 36.\n5. Substitute e = f + 13 to a, which gives a = f + 49.\n6. Substitute f = 14 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 19636,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 18; a = u + 3; o = i + 10; k = e + 5; z = p + 14; r = z + 1; p = o + 15; l = k + 3; u = w + 11; f = 14; t = r + 14; w = l + 14; e = f + 13. If f = 14, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 6", "u": "z + 9", "i": "u + 10", "p": "i + 5", "v": "p + 5", "j": "v + 20", "l": "a + 15", "x": "l + 10", "s": "x + 10", "h": "s + 17", "b": "h + 9", "r": "b + 17", "a": 14}, "premises": {"a": 14}, "target": "j"}, "answer": {"steps": [["v", "p + 5", "p + 25"], ["p", "i + 5", "i + 30"], ["i", "u + 10", "u + 40"], ["u", "z + 9", "z + 49"], ["z", "a + 6", "a + 55"], ["a", 14, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"a": 14}, "is_reverse": true}} | 19,637 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = u + 10; u = z + 9; z = a + 6; r = b + 17; a = 14; p = i + 5; b = h + 9; l = a + 15; x = l + 10; j = v + 20; v = p + 5; s = x + 10; h = s + 17. If a = 14, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 5 to j, which gives j = p + 25.\n2. Substitute p = i + 5 to j, which gives j = i + 30.\n3. Substitute i = u + 10 to j, which gives j = u + 40.\n4. Substitute u = z + 9 to j, which gives j = z + 49.\n5. Substitute z = a + 6 to j, which gives j = a + 55.\n6. Substitute a = 14 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 19637,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = u + 10; u = z + 9; z = a + 6; r = b + 17; a = 14; p = i + 5; b = h + 9; l = a + 15; x = l + 10; j = v + 20; v = p + 5; s = x + 10; h = s + 17. If a = 14, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 10", "l": "q + 4", "b": "l + 19", "i": "b + 6", "r": "i + 1", "k": "r + 11", "n": "j + 2", "v": "n + 2", "m": "v + 8", "c": "m + 7", "t": "c + 20", "h": "t + 8", "j": 2}, "premises": {"j": 2}, "target": "k"}, "answer": {"steps": [["r", "i + 1", "i + 12"], ["i", "b + 6", "b + 18"], ["b", "l + 19", "l + 37"], ["l", "q + 4", "q + 41"], ["q", "j + 10", "j + 51"], ["j", 2, "53"]], "target_var_name": "k", "target_value": 53, "value_dict": {"j": 2}, "is_reverse": true}} | 19,638 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = c + 20; l = q + 4; v = n + 2; q = j + 10; k = r + 11; r = i + 1; c = m + 7; b = l + 19; j = 2; n = j + 2; m = v + 8; h = t + 8; i = b + 6. If j = 2, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 1 to k, which gives k = i + 12.\n2. Substitute i = b + 6 to k, which gives k = b + 18.\n3. Substitute b = l + 19 to k, which gives k = l + 37.\n4. Substitute l = q + 4 to k, which gives k = q + 41.\n5. Substitute q = j + 10 to k, which gives k = j + 51.\n6. Substitute j = 2 to k, which gives k = 53.\n\nThus, the final answer is k = \\boxed{53}.",
"index": 19638,
"question": "Consider a system of variables where each variable is defined as follows: t = c + 20; l = q + 4; v = n + 2; q = j + 10; k = r + 11; r = i + 1; c = m + 7; b = l + 19; j = 2; n = j + 2; m = v + 8; h = t + 8; i = b + 6. If j = 2, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 14", "u": "q + 8", "n": "u + 13", "h": "n + 4", "f": "h + 20", "i": "f + 4", "t": "z + 7", "r": "t + 5", "c": "r + 19", "m": "c + 14", "y": "m + 12", "k": "y + 18", "z": 11}, "premises": {"z": 11}, "target": "i"}, "answer": {"steps": [["f", "h + 20", "h + 24"], ["h", "n + 4", "n + 28"], ["n", "u + 13", "u + 41"], ["u", "q + 8", "q + 49"], ["q", "z + 14", "z + 63"], ["z", 11, "74"]], "target_var_name": "i", "target_value": 74, "value_dict": {"z": 11}, "is_reverse": true}} | 19,639 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = t + 5; n = u + 13; k = y + 18; t = z + 7; q = z + 14; i = f + 4; y = m + 12; z = 11; f = h + 20; h = n + 4; c = r + 19; u = q + 8; m = c + 14. If z = 11, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 20 to i, which gives i = h + 24.\n2. Substitute h = n + 4 to i, which gives i = n + 28.\n3. Substitute n = u + 13 to i, which gives i = u + 41.\n4. Substitute u = q + 8 to i, which gives i = q + 49.\n5. Substitute q = z + 14 to i, which gives i = z + 63.\n6. Substitute z = 11 to i, which gives i = 74.\n\nThus, the final answer is i = \\boxed{74}.",
"index": 19639,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = t + 5; n = u + 13; k = y + 18; t = z + 7; q = z + 14; i = f + 4; y = m + 12; z = 11; f = h + 20; h = n + 4; c = r + 19; u = q + 8; m = c + 14. If z = 11, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 2", "r": "a + 6", "l": "r + 20", "i": "l + 9", "c": "i + 2", "k": "c + 12", "y": "m + 8", "g": "y + 19", "v": "g + 5", "f": "v + 1", "o": "f + 6", "p": "o + 12", "m": 11}, "premises": {"m": 11}, "target": "k"}, "answer": {"steps": [["c", "i + 2", "i + 14"], ["i", "l + 9", "l + 23"], ["l", "r + 20", "r + 43"], ["r", "a + 6", "a + 49"], ["a", "m + 2", "m + 51"], ["m", 11, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"m": 11}, "is_reverse": true}} | 19,640 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = a + 6; f = v + 1; y = m + 8; c = i + 2; m = 11; p = o + 12; v = g + 5; k = c + 12; a = m + 2; g = y + 19; l = r + 20; i = l + 9; o = f + 6. If m = 11, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 2 to k, which gives k = i + 14.\n2. Substitute i = l + 9 to k, which gives k = l + 23.\n3. Substitute l = r + 20 to k, which gives k = r + 43.\n4. Substitute r = a + 6 to k, which gives k = a + 49.\n5. Substitute a = m + 2 to k, which gives k = m + 51.\n6. Substitute m = 11 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 19640,
"question": "Consider a system of variables where each variable is defined as follows: r = a + 6; f = v + 1; y = m + 8; c = i + 2; m = 11; p = o + 12; v = g + 5; k = c + 12; a = m + 2; g = y + 19; l = r + 20; i = l + 9; o = f + 6. If m = 11, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 4", "r": "x + 20", "h": "r + 1", "k": "h + 8", "b": "k + 15", "j": "b + 2", "l": "y + 2", "z": "l + 13", "i": "z + 1", "d": "i + 7", "n": "d + 3", "e": "n + 17", "y": 5}, "premises": {"y": 5}, "target": "j"}, "answer": {"steps": [["b", "k + 15", "k + 17"], ["k", "h + 8", "h + 25"], ["h", "r + 1", "r + 26"], ["r", "x + 20", "x + 46"], ["x", "y + 4", "y + 50"], ["y", 5, "55"]], "target_var_name": "j", "target_value": 55, "value_dict": {"y": 5}, "is_reverse": true}} | 19,641 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = d + 3; b = k + 15; i = z + 1; x = y + 4; y = 5; z = l + 13; l = y + 2; r = x + 20; e = n + 17; h = r + 1; j = b + 2; k = h + 8; d = i + 7. If y = 5, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 15 to j, which gives j = k + 17.\n2. Substitute k = h + 8 to j, which gives j = h + 25.\n3. Substitute h = r + 1 to j, which gives j = r + 26.\n4. Substitute r = x + 20 to j, which gives j = x + 46.\n5. Substitute x = y + 4 to j, which gives j = y + 50.\n6. Substitute y = 5 to j, which gives j = 55.\n\nThus, the final answer is j = \\boxed{55}.",
"index": 19641,
"question": "Consider a system of variables where each variable is defined as follows: n = d + 3; b = k + 15; i = z + 1; x = y + 4; y = 5; z = l + 13; l = y + 2; r = x + 20; e = n + 17; h = r + 1; j = b + 2; k = h + 8; d = i + 7. If y = 5, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"y": "t + 3", "j": "y + 3", "a": "j + 1", "z": "a + 10", "i": "z + 18", "c": "i + 2", "o": "t + 4", "w": "o + 8", "f": "w + 3", "g": "f + 10", "x": "g + 18", "m": "x + 2", "t": 13}, "premises": {"t": 13}, "target": "c"}, "answer": {"steps": [["i", "z + 18", "z + 20"], ["z", "a + 10", "a + 30"], ["a", "j + 1", "j + 31"], ["j", "y + 3", "y + 34"], ["y", "t + 3", "t + 37"], ["t", 13, "50"]], "target_var_name": "c", "target_value": 50, "value_dict": {"t": 13}, "is_reverse": true}} | 19,642 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = 13; i = z + 18; o = t + 4; w = o + 8; x = g + 18; z = a + 10; a = j + 1; m = x + 2; f = w + 3; g = f + 10; c = i + 2; j = y + 3; y = t + 3. Given that t = 13, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 18 to c, which gives c = z + 20.\n2. Substitute z = a + 10 to c, which gives c = a + 30.\n3. Substitute a = j + 1 to c, which gives c = j + 31.\n4. Substitute j = y + 3 to c, which gives c = y + 34.\n5. Substitute y = t + 3 to c, which gives c = t + 37.\n6. Substitute t = 13 to c, which gives c = 50.\n\nThus, the final answer is c = \\boxed{50}.",
"index": 19642,
"question": "Suppose a collection of variables is related by the following definitions: t = 13; i = z + 18; o = t + 4; w = o + 8; x = g + 18; z = a + 10; a = j + 1; m = x + 2; f = w + 3; g = f + 10; c = i + 2; j = y + 3; y = t + 3. Given that t = 13, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 10", "j": "n + 6", "a": "j + 3", "b": "a + 6", "w": "b + 3", "g": "w + 13", "r": "h + 10", "v": "r + 8", "c": "v + 18", "d": "c + 7", "s": "d + 5", "m": "s + 13", "h": 2}, "premises": {"h": 2}, "target": "g"}, "answer": {"steps": [["w", "b + 3", "b + 16"], ["b", "a + 6", "a + 22"], ["a", "j + 3", "j + 25"], ["j", "n + 6", "n + 31"], ["n", "h + 10", "h + 41"], ["h", 2, "43"]], "target_var_name": "g", "target_value": 43, "value_dict": {"h": 2}, "is_reverse": true}} | 19,643 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = 2; v = r + 8; r = h + 10; s = d + 5; d = c + 7; n = h + 10; m = s + 13; j = n + 6; b = a + 6; c = v + 18; w = b + 3; a = j + 3; g = w + 13. If h = 2, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 3 to g, which gives g = b + 16.\n2. Substitute b = a + 6 to g, which gives g = a + 22.\n3. Substitute a = j + 3 to g, which gives g = j + 25.\n4. Substitute j = n + 6 to g, which gives g = n + 31.\n5. Substitute n = h + 10 to g, which gives g = h + 41.\n6. Substitute h = 2 to g, which gives g = 43.\n\nThus, the final answer is g = \\boxed{43}.",
"index": 19643,
"question": "Consider a system of variables where each variable is defined as follows: h = 2; v = r + 8; r = h + 10; s = d + 5; d = c + 7; n = h + 10; m = s + 13; j = n + 6; b = a + 6; c = v + 18; w = b + 3; a = j + 3; g = w + 13. If h = 2, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"y": "x + 18", "u": "y + 5", "j": "u + 11", "c": "j + 14", "a": "c + 8", "r": "a + 3", "h": "x + 17", "k": "h + 1", "z": "k + 20", "l": "z + 5", "e": "l + 20", "m": "e + 10", "x": 17}, "premises": {"x": 17}, "target": "r"}, "answer": {"steps": [["a", "c + 8", "c + 11"], ["c", "j + 14", "j + 25"], ["j", "u + 11", "u + 36"], ["u", "y + 5", "y + 41"], ["y", "x + 18", "x + 59"], ["x", 17, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"x": 17}, "is_reverse": true}} | 19,644 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = x + 18; e = l + 20; k = h + 1; c = j + 14; z = k + 20; u = y + 5; r = a + 3; a = c + 8; j = u + 11; m = e + 10; x = 17; h = x + 17; l = z + 5. If x = 17, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 8 to r, which gives r = c + 11.\n2. Substitute c = j + 14 to r, which gives r = j + 25.\n3. Substitute j = u + 11 to r, which gives r = u + 36.\n4. Substitute u = y + 5 to r, which gives r = y + 41.\n5. Substitute y = x + 18 to r, which gives r = x + 59.\n6. Substitute x = 17 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 19644,
"question": "Consider a system of variables where each variable is defined as follows: y = x + 18; e = l + 20; k = h + 1; c = j + 14; z = k + 20; u = y + 5; r = a + 3; a = c + 8; j = u + 11; m = e + 10; x = 17; h = x + 17; l = z + 5. If x = 17, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"i": "f + 20", "z": "i + 16", "g": "z + 11", "n": "g + 8", "x": "n + 7", "c": "x + 3", "r": "f + 20", "p": "r + 5", "e": "p + 14", "y": "e + 19", "u": "y + 5", "w": "u + 14", "f": 18}, "premises": {"f": 18}, "target": "c"}, "answer": {"steps": [["x", "n + 7", "n + 10"], ["n", "g + 8", "g + 18"], ["g", "z + 11", "z + 29"], ["z", "i + 16", "i + 45"], ["i", "f + 20", "f + 65"], ["f", 18, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"f": 18}, "is_reverse": true}} | 19,645 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = n + 7; p = r + 5; e = p + 14; n = g + 8; r = f + 20; f = 18; u = y + 5; y = e + 19; w = u + 14; i = f + 20; z = i + 16; c = x + 3; g = z + 11. Given that f = 18, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 7 to c, which gives c = n + 10.\n2. Substitute n = g + 8 to c, which gives c = g + 18.\n3. Substitute g = z + 11 to c, which gives c = z + 29.\n4. Substitute z = i + 16 to c, which gives c = i + 45.\n5. Substitute i = f + 20 to c, which gives c = f + 65.\n6. Substitute f = 18 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 19645,
"question": "Suppose a collection of variables is related by the following definitions: x = n + 7; p = r + 5; e = p + 14; n = g + 8; r = f + 20; f = 18; u = y + 5; y = e + 19; w = u + 14; i = f + 20; z = i + 16; c = x + 3; g = z + 11. Given that f = 18, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "t + 13", "j": "i + 12", "a": "j + 6", "w": "a + 10", "h": "w + 9", "o": "h + 20", "r": "t + 19", "v": "r + 13", "f": "v + 2", "y": "f + 9", "l": "y + 7", "b": "l + 11", "t": 9}, "premises": {"t": 9}, "target": "o"}, "answer": {"steps": [["h", "w + 9", "w + 29"], ["w", "a + 10", "a + 39"], ["a", "j + 6", "j + 45"], ["j", "i + 12", "i + 57"], ["i", "t + 13", "t + 70"], ["t", 9, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"t": 9}, "is_reverse": true}} | 19,646 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = v + 2; a = j + 6; b = l + 11; t = 9; j = i + 12; y = f + 9; o = h + 20; h = w + 9; i = t + 13; l = y + 7; v = r + 13; r = t + 19; w = a + 10. If t = 9, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 9 to o, which gives o = w + 29.\n2. Substitute w = a + 10 to o, which gives o = a + 39.\n3. Substitute a = j + 6 to o, which gives o = j + 45.\n4. Substitute j = i + 12 to o, which gives o = i + 57.\n5. Substitute i = t + 13 to o, which gives o = t + 70.\n6. Substitute t = 9 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 19646,
"question": "Consider a system of variables where each variable is defined as follows: f = v + 2; a = j + 6; b = l + 11; t = 9; j = i + 12; y = f + 9; o = h + 20; h = w + 9; i = t + 13; l = y + 7; v = r + 13; r = t + 19; w = a + 10. If t = 9, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 19", "m": "s + 20", "t": "m + 3", "e": "t + 18", "u": "e + 20", "y": "u + 11", "n": "l + 9", "g": "n + 2", "h": "g + 6", "d": "h + 9", "q": "d + 17", "v": "q + 9", "l": 1}, "premises": {"l": 1}, "target": "y"}, "answer": {"steps": [["u", "e + 20", "e + 31"], ["e", "t + 18", "t + 49"], ["t", "m + 3", "m + 52"], ["m", "s + 20", "s + 72"], ["s", "l + 19", "l + 91"], ["l", 1, "92"]], "target_var_name": "y", "target_value": 92, "value_dict": {"l": 1}, "is_reverse": true}} | 19,647 | 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 = 1; v = q + 9; m = s + 20; g = n + 2; y = u + 11; t = m + 3; u = e + 20; n = l + 9; s = l + 19; h = g + 6; d = h + 9; q = d + 17; e = t + 18. If l = 1, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 20 to y, which gives y = e + 31.\n2. Substitute e = t + 18 to y, which gives y = t + 49.\n3. Substitute t = m + 3 to y, which gives y = m + 52.\n4. Substitute m = s + 20 to y, which gives y = s + 72.\n5. Substitute s = l + 19 to y, which gives y = l + 91.\n6. Substitute l = 1 to y, which gives y = 92.\n\nThus, the final answer is y = \\boxed{92}.",
"index": 19647,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 1; v = q + 9; m = s + 20; g = n + 2; y = u + 11; t = m + 3; u = e + 20; n = l + 9; s = l + 19; h = g + 6; d = h + 9; q = d + 17; e = t + 18. If l = 1, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 1", "e": "o + 3", "a": "e + 2", "b": "a + 9", "n": "b + 1", "h": "n + 18", "v": "f + 18", "l": "v + 19", "z": "l + 14", "s": "z + 9", "m": "s + 10", "q": "m + 6", "f": 10}, "premises": {"f": 10}, "target": "h"}, "answer": {"steps": [["n", "b + 1", "b + 19"], ["b", "a + 9", "a + 28"], ["a", "e + 2", "e + 30"], ["e", "o + 3", "o + 33"], ["o", "f + 1", "f + 34"], ["f", 10, "44"]], "target_var_name": "h", "target_value": 44, "value_dict": {"f": 10}, "is_reverse": true}} | 19,648 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = f + 18; h = n + 18; q = m + 6; a = e + 2; m = s + 10; z = l + 14; n = b + 1; l = v + 19; e = o + 3; f = 10; o = f + 1; b = a + 9; s = z + 9. Given that f = 10, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 1 to h, which gives h = b + 19.\n2. Substitute b = a + 9 to h, which gives h = a + 28.\n3. Substitute a = e + 2 to h, which gives h = e + 30.\n4. Substitute e = o + 3 to h, which gives h = o + 33.\n5. Substitute o = f + 1 to h, which gives h = f + 34.\n6. Substitute f = 10 to h, which gives h = 44.\n\nThus, the final answer is h = \\boxed{44}.",
"index": 19648,
"question": "Suppose a collection of variables is related by the following definitions: v = f + 18; h = n + 18; q = m + 6; a = e + 2; m = s + 10; z = l + 14; n = b + 1; l = v + 19; e = o + 3; f = 10; o = f + 1; b = a + 9; s = z + 9. Given that f = 10, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 13", "r": "i + 15", "t": "r + 17", "z": "t + 13", "e": "z + 1", "j": "e + 15", "f": "c + 9", "m": "f + 9", "w": "m + 7", "k": "w + 7", "o": "k + 15", "y": "o + 12", "c": 20}, "premises": {"c": 20}, "target": "j"}, "answer": {"steps": [["e", "z + 1", "z + 16"], ["z", "t + 13", "t + 29"], ["t", "r + 17", "r + 46"], ["r", "i + 15", "i + 61"], ["i", "c + 13", "c + 74"], ["c", 20, "94"]], "target_var_name": "j", "target_value": 94, "value_dict": {"c": 20}, "is_reverse": true}} | 19,649 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = z + 1; o = k + 15; f = c + 9; k = w + 7; i = c + 13; w = m + 7; c = 20; m = f + 9; r = i + 15; j = e + 15; z = t + 13; y = o + 12; t = r + 17. Given that c = 20, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 1 to j, which gives j = z + 16.\n2. Substitute z = t + 13 to j, which gives j = t + 29.\n3. Substitute t = r + 17 to j, which gives j = r + 46.\n4. Substitute r = i + 15 to j, which gives j = i + 61.\n5. Substitute i = c + 13 to j, which gives j = c + 74.\n6. Substitute c = 20 to j, which gives j = 94.\n\nThus, the final answer is j = \\boxed{94}.",
"index": 19649,
"question": "Suppose a collection of variables is related by the following definitions: e = z + 1; o = k + 15; f = c + 9; k = w + 7; i = c + 13; w = m + 7; c = 20; m = f + 9; r = i + 15; j = e + 15; z = t + 13; y = o + 12; t = r + 17. Given that c = 20, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 11", "z": "m + 16", "s": "z + 2", "t": "s + 15", "f": "t + 5", "i": "f + 20", "k": "l + 1", "d": "k + 16", "g": "d + 11", "n": "g + 19", "x": "n + 14", "a": "x + 11", "l": 17}, "premises": {"l": 17}, "target": "i"}, "answer": {"steps": [["f", "t + 5", "t + 25"], ["t", "s + 15", "s + 40"], ["s", "z + 2", "z + 42"], ["z", "m + 16", "m + 58"], ["m", "l + 11", "l + 69"], ["l", 17, "86"]], "target_var_name": "i", "target_value": 86, "value_dict": {"l": 17}, "is_reverse": true}} | 19,650 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = t + 5; a = x + 11; g = d + 11; k = l + 1; n = g + 19; l = 17; m = l + 11; s = z + 2; x = n + 14; t = s + 15; i = f + 20; z = m + 16; d = k + 16. If l = 17, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 5 to i, which gives i = t + 25.\n2. Substitute t = s + 15 to i, which gives i = s + 40.\n3. Substitute s = z + 2 to i, which gives i = z + 42.\n4. Substitute z = m + 16 to i, which gives i = m + 58.\n5. Substitute m = l + 11 to i, which gives i = l + 69.\n6. Substitute l = 17 to i, which gives i = 86.\n\nThus, the final answer is i = \\boxed{86}.",
"index": 19650,
"question": "Consider a system of variables where each variable is defined as follows: f = t + 5; a = x + 11; g = d + 11; k = l + 1; n = g + 19; l = 17; m = l + 11; s = z + 2; x = n + 14; t = s + 15; i = f + 20; z = m + 16; d = k + 16. If l = 17, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"n": "p + 9", "z": "n + 8", "t": "z + 17", "k": "t + 4", "u": "k + 17", "m": "u + 9", "a": "p + 10", "d": "a + 6", "r": "d + 5", "w": "r + 12", "s": "w + 2", "e": "s + 15", "p": 12}, "premises": {"p": 12}, "target": "m"}, "answer": {"steps": [["u", "k + 17", "k + 26"], ["k", "t + 4", "t + 30"], ["t", "z + 17", "z + 47"], ["z", "n + 8", "n + 55"], ["n", "p + 9", "p + 64"], ["p", 12, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"p": 12}, "is_reverse": true}} | 19,651 | 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 = w + 2; z = n + 8; k = t + 4; e = s + 15; u = k + 17; n = p + 9; w = r + 12; a = p + 10; t = z + 17; d = a + 6; p = 12; m = u + 9; r = d + 5. If p = 12, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 17 to m, which gives m = k + 26.\n2. Substitute k = t + 4 to m, which gives m = t + 30.\n3. Substitute t = z + 17 to m, which gives m = z + 47.\n4. Substitute z = n + 8 to m, which gives m = n + 55.\n5. Substitute n = p + 9 to m, which gives m = p + 64.\n6. Substitute p = 12 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 19651,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = w + 2; z = n + 8; k = t + 4; e = s + 15; u = k + 17; n = p + 9; w = r + 12; a = p + 10; t = z + 17; d = a + 6; p = 12; m = u + 9; r = d + 5. If p = 12, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 19", "i": "v + 17", "q": "i + 1", "g": "q + 5", "y": "g + 18", "m": "y + 17", "c": "b + 2", "e": "c + 4", "p": "e + 5", "o": "p + 2", "d": "o + 12", "r": "d + 2", "b": 13}, "premises": {"b": 13}, "target": "m"}, "answer": {"steps": [["y", "g + 18", "g + 35"], ["g", "q + 5", "q + 40"], ["q", "i + 1", "i + 41"], ["i", "v + 17", "v + 58"], ["v", "b + 19", "b + 77"], ["b", 13, "90"]], "target_var_name": "m", "target_value": 90, "value_dict": {"b": 13}, "is_reverse": true}} | 19,652 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = p + 2; g = q + 5; m = y + 17; v = b + 19; d = o + 12; p = e + 5; i = v + 17; q = i + 1; b = 13; e = c + 4; y = g + 18; c = b + 2; r = d + 2. If b = 13, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 18 to m, which gives m = g + 35.\n2. Substitute g = q + 5 to m, which gives m = q + 40.\n3. Substitute q = i + 1 to m, which gives m = i + 41.\n4. Substitute i = v + 17 to m, which gives m = v + 58.\n5. Substitute v = b + 19 to m, which gives m = b + 77.\n6. Substitute b = 13 to m, which gives m = 90.\n\nThus, the final answer is m = \\boxed{90}.",
"index": 19652,
"question": "Consider a system of variables where each variable is defined as follows: o = p + 2; g = q + 5; m = y + 17; v = b + 19; d = o + 12; p = e + 5; i = v + 17; q = i + 1; b = 13; e = c + 4; y = g + 18; c = b + 2; r = d + 2. If b = 13, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "b + 6", "g": "s + 16", "q": "g + 19", "x": "q + 16", "k": "x + 19", "w": "k + 7", "f": "b + 11", "h": "f + 17", "v": "h + 16", "p": "v + 20", "e": "p + 10", "r": "e + 13", "b": 20}, "premises": {"b": 20}, "target": "w"}, "answer": {"steps": [["k", "x + 19", "x + 26"], ["x", "q + 16", "q + 42"], ["q", "g + 19", "g + 61"], ["g", "s + 16", "s + 77"], ["s", "b + 6", "b + 83"], ["b", 20, "103"]], "target_var_name": "w", "target_value": 103, "value_dict": {"b": 20}, "is_reverse": true}} | 19,653 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = b + 11; h = f + 17; e = p + 10; s = b + 6; g = s + 16; b = 20; w = k + 7; q = g + 19; x = q + 16; v = h + 16; p = v + 20; r = e + 13; k = x + 19. Given that b = 20, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 19 to w, which gives w = x + 26.\n2. Substitute x = q + 16 to w, which gives w = q + 42.\n3. Substitute q = g + 19 to w, which gives w = g + 61.\n4. Substitute g = s + 16 to w, which gives w = s + 77.\n5. Substitute s = b + 6 to w, which gives w = b + 83.\n6. Substitute b = 20 to w, which gives w = 103.\n\nThus, the final answer is w = \\boxed{103}.",
"index": 19653,
"question": "Suppose a collection of variables is related by the following definitions: f = b + 11; h = f + 17; e = p + 10; s = b + 6; g = s + 16; b = 20; w = k + 7; q = g + 19; x = q + 16; v = h + 16; p = v + 20; r = e + 13; k = x + 19. Given that b = 20, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 16", "k": "z + 1", "v": "k + 14", "f": "v + 12", "h": "f + 17", "l": "h + 19", "g": "c + 20", "e": "g + 14", "i": "e + 5", "p": "i + 20", "u": "p + 17", "o": "u + 5", "c": 1}, "premises": {"c": 1}, "target": "l"}, "answer": {"steps": [["h", "f + 17", "f + 36"], ["f", "v + 12", "v + 48"], ["v", "k + 14", "k + 62"], ["k", "z + 1", "z + 63"], ["z", "c + 16", "c + 79"], ["c", 1, "80"]], "target_var_name": "l", "target_value": 80, "value_dict": {"c": 1}, "is_reverse": true}} | 19,654 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 20; h = f + 17; k = z + 1; g = c + 20; e = g + 14; i = e + 5; z = c + 16; l = h + 19; f = v + 12; c = 1; v = k + 14; u = p + 17; o = u + 5. If c = 1, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 17 to l, which gives l = f + 36.\n2. Substitute f = v + 12 to l, which gives l = v + 48.\n3. Substitute v = k + 14 to l, which gives l = k + 62.\n4. Substitute k = z + 1 to l, which gives l = z + 63.\n5. Substitute z = c + 16 to l, which gives l = c + 79.\n6. Substitute c = 1 to l, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 19654,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 20; h = f + 17; k = z + 1; g = c + 20; e = g + 14; i = e + 5; z = c + 16; l = h + 19; f = v + 12; c = 1; v = k + 14; u = p + 17; o = u + 5. If c = 1, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 20", "e": "c + 20", "i": "e + 14", "j": "i + 18", "l": "j + 5", "u": "l + 18", "v": "w + 1", "y": "v + 5", "q": "y + 6", "t": "q + 8", "o": "t + 12", "f": "o + 17", "w": 6}, "premises": {"w": 6}, "target": "u"}, "answer": {"steps": [["l", "j + 5", "j + 23"], ["j", "i + 18", "i + 41"], ["i", "e + 14", "e + 55"], ["e", "c + 20", "c + 75"], ["c", "w + 20", "w + 95"], ["w", 6, "101"]], "target_var_name": "u", "target_value": 101, "value_dict": {"w": 6}, "is_reverse": true}} | 19,655 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = w + 20; l = j + 5; o = t + 12; w = 6; e = c + 20; q = y + 6; j = i + 18; f = o + 17; i = e + 14; y = v + 5; t = q + 8; v = w + 1; u = l + 18. If w = 6, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 5 to u, which gives u = j + 23.\n2. Substitute j = i + 18 to u, which gives u = i + 41.\n3. Substitute i = e + 14 to u, which gives u = e + 55.\n4. Substitute e = c + 20 to u, which gives u = c + 75.\n5. Substitute c = w + 20 to u, which gives u = w + 95.\n6. Substitute w = 6 to u, which gives u = 101.\n\nThus, the final answer is u = \\boxed{101}.",
"index": 19655,
"question": "Consider a system of variables where each variable is defined as follows: c = w + 20; l = j + 5; o = t + 12; w = 6; e = c + 20; q = y + 6; j = i + 18; f = o + 17; i = e + 14; y = v + 5; t = q + 8; v = w + 1; u = l + 18. If w = 6, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 17", "f": "t + 5", "x": "f + 7", "r": "x + 13", "c": "r + 15", "n": "c + 16", "q": "z + 18", "y": "q + 4", "k": "y + 16", "s": "k + 17", "w": "s + 13", "j": "w + 10", "z": 6}, "premises": {"z": 6}, "target": "n"}, "answer": {"steps": [["c", "r + 15", "r + 31"], ["r", "x + 13", "x + 44"], ["x", "f + 7", "f + 51"], ["f", "t + 5", "t + 56"], ["t", "z + 17", "z + 73"], ["z", 6, "79"]], "target_var_name": "n", "target_value": 79, "value_dict": {"z": 6}, "is_reverse": true}} | 19,656 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = f + 7; j = w + 10; f = t + 5; w = s + 13; s = k + 17; z = 6; n = c + 16; q = z + 18; r = x + 13; y = q + 4; t = z + 17; c = r + 15; k = y + 16. Given that z = 6, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 15 to n, which gives n = r + 31.\n2. Substitute r = x + 13 to n, which gives n = x + 44.\n3. Substitute x = f + 7 to n, which gives n = f + 51.\n4. Substitute f = t + 5 to n, which gives n = t + 56.\n5. Substitute t = z + 17 to n, which gives n = z + 73.\n6. Substitute z = 6 to n, which gives n = 79.\n\nThus, the final answer is n = \\boxed{79}.",
"index": 19656,
"question": "Suppose a collection of variables is related by the following definitions: x = f + 7; j = w + 10; f = t + 5; w = s + 13; s = k + 17; z = 6; n = c + 16; q = z + 18; r = x + 13; y = q + 4; t = z + 17; c = r + 15; k = y + 16. Given that z = 6, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"i": "m + 7", "k": "i + 11", "y": "k + 11", "t": "y + 4", "c": "t + 12", "o": "c + 8", "e": "m + 17", "h": "e + 16", "q": "h + 12", "l": "q + 12", "s": "l + 7", "r": "s + 4", "m": 20}, "premises": {"m": 20}, "target": "o"}, "answer": {"steps": [["c", "t + 12", "t + 20"], ["t", "y + 4", "y + 24"], ["y", "k + 11", "k + 35"], ["k", "i + 11", "i + 46"], ["i", "m + 7", "m + 53"], ["m", 20, "73"]], "target_var_name": "o", "target_value": 73, "value_dict": {"m": 20}, "is_reverse": true}} | 19,657 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = c + 8; e = m + 17; r = s + 4; c = t + 12; k = i + 11; s = l + 7; t = y + 4; m = 20; q = h + 12; i = m + 7; h = e + 16; l = q + 12; y = k + 11. Given that m = 20, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 12 to o, which gives o = t + 20.\n2. Substitute t = y + 4 to o, which gives o = y + 24.\n3. Substitute y = k + 11 to o, which gives o = k + 35.\n4. Substitute k = i + 11 to o, which gives o = i + 46.\n5. Substitute i = m + 7 to o, which gives o = m + 53.\n6. Substitute m = 20 to o, which gives o = 73.\n\nThus, the final answer is o = \\boxed{73}.",
"index": 19657,
"question": "Suppose a collection of variables is related by the following definitions: o = c + 8; e = m + 17; r = s + 4; c = t + 12; k = i + 11; s = l + 7; t = y + 4; m = 20; q = h + 12; i = m + 7; h = e + 16; l = q + 12; y = k + 11. Given that m = 20, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 2", "e": "o + 9", "s": "e + 6", "k": "s + 14", "z": "k + 15", "c": "z + 3", "h": "n + 17", "x": "h + 16", "g": "x + 19", "y": "g + 4", "f": "y + 15", "t": "f + 13", "n": 17}, "premises": {"n": 17}, "target": "c"}, "answer": {"steps": [["z", "k + 15", "k + 18"], ["k", "s + 14", "s + 32"], ["s", "e + 6", "e + 38"], ["e", "o + 9", "o + 47"], ["o", "n + 2", "n + 49"], ["n", 17, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"n": 17}, "is_reverse": true}} | 19,658 | 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 = z + 3; f = y + 15; x = h + 16; n = 17; h = n + 17; z = k + 15; e = o + 9; k = s + 14; t = f + 13; y = g + 4; o = n + 2; g = x + 19; s = e + 6. If n = 17, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 15 to c, which gives c = k + 18.\n2. Substitute k = s + 14 to c, which gives c = s + 32.\n3. Substitute s = e + 6 to c, which gives c = e + 38.\n4. Substitute e = o + 9 to c, which gives c = o + 47.\n5. Substitute o = n + 2 to c, which gives c = n + 49.\n6. Substitute n = 17 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 19658,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 3; f = y + 15; x = h + 16; n = 17; h = n + 17; z = k + 15; e = o + 9; k = s + 14; t = f + 13; y = g + 4; o = n + 2; g = x + 19; s = e + 6. If n = 17, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 5", "p": "t + 1", "m": "p + 12", "x": "m + 11", "j": "x + 11", "v": "j + 11", "h": "c + 10", "o": "h + 15", "w": "o + 14", "n": "w + 2", "d": "n + 18", "b": "d + 5", "c": 9}, "premises": {"c": 9}, "target": "v"}, "answer": {"steps": [["j", "x + 11", "x + 22"], ["x", "m + 11", "m + 33"], ["m", "p + 12", "p + 45"], ["p", "t + 1", "t + 46"], ["t", "c + 5", "c + 51"], ["c", 9, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"c": 9}, "is_reverse": true}} | 19,659 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = j + 11; p = t + 1; b = d + 5; d = n + 18; w = o + 14; m = p + 12; n = w + 2; h = c + 10; j = x + 11; o = h + 15; c = 9; t = c + 5; x = m + 11. If c = 9, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 11 to v, which gives v = x + 22.\n2. Substitute x = m + 11 to v, which gives v = m + 33.\n3. Substitute m = p + 12 to v, which gives v = p + 45.\n4. Substitute p = t + 1 to v, which gives v = t + 46.\n5. Substitute t = c + 5 to v, which gives v = c + 51.\n6. Substitute c = 9 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 19659,
"question": "Consider a system of variables where each variable is defined as follows: v = j + 11; p = t + 1; b = d + 5; d = n + 18; w = o + 14; m = p + 12; n = w + 2; h = c + 10; j = x + 11; o = h + 15; c = 9; t = c + 5; x = m + 11. If c = 9, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 19", "y": "c + 16", "n": "y + 14", "r": "n + 10", "b": "r + 20", "f": "b + 15", "i": "p + 3", "w": "i + 7", "l": "w + 8", "j": "l + 2", "e": "j + 4", "s": "e + 13", "p": 14}, "premises": {"p": 14}, "target": "f"}, "answer": {"steps": [["b", "r + 20", "r + 35"], ["r", "n + 10", "n + 45"], ["n", "y + 14", "y + 59"], ["y", "c + 16", "c + 75"], ["c", "p + 19", "p + 94"], ["p", 14, "108"]], "target_var_name": "f", "target_value": 108, "value_dict": {"p": 14}, "is_reverse": true}} | 19,660 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = p + 3; n = y + 14; y = c + 16; s = e + 13; e = j + 4; p = 14; c = p + 19; w = i + 7; j = l + 2; l = w + 8; r = n + 10; b = r + 20; f = b + 15. Given that p = 14, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 20 to f, which gives f = r + 35.\n2. Substitute r = n + 10 to f, which gives f = n + 45.\n3. Substitute n = y + 14 to f, which gives f = y + 59.\n4. Substitute y = c + 16 to f, which gives f = c + 75.\n5. Substitute c = p + 19 to f, which gives f = p + 94.\n6. Substitute p = 14 to f, which gives f = 108.\n\nThus, the final answer is f = \\boxed{108}.",
"index": 19660,
"question": "Suppose a collection of variables is related by the following definitions: i = p + 3; n = y + 14; y = c + 16; s = e + 13; e = j + 4; p = 14; c = p + 19; w = i + 7; j = l + 2; l = w + 8; r = n + 10; b = r + 20; f = b + 15. Given that p = 14, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "h + 5", "z": "e + 20", "j": "z + 11", "f": "j + 9", "d": "f + 20", "p": "d + 10", "b": "h + 10", "u": "b + 2", "c": "u + 13", "s": "c + 19", "n": "s + 14", "t": "n + 7", "h": 5}, "premises": {"h": 5}, "target": "p"}, "answer": {"steps": [["d", "f + 20", "f + 30"], ["f", "j + 9", "j + 39"], ["j", "z + 11", "z + 50"], ["z", "e + 20", "e + 70"], ["e", "h + 5", "h + 75"], ["h", 5, "80"]], "target_var_name": "p", "target_value": 80, "value_dict": {"h": 5}, "is_reverse": true}} | 19,661 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = s + 14; h = 5; z = e + 20; p = d + 10; c = u + 13; f = j + 9; e = h + 5; t = n + 7; d = f + 20; s = c + 19; j = z + 11; u = b + 2; b = h + 10. Given that h = 5, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 20 to p, which gives p = f + 30.\n2. Substitute f = j + 9 to p, which gives p = j + 39.\n3. Substitute j = z + 11 to p, which gives p = z + 50.\n4. Substitute z = e + 20 to p, which gives p = e + 70.\n5. Substitute e = h + 5 to p, which gives p = h + 75.\n6. Substitute h = 5 to p, which gives p = 80.\n\nThus, the final answer is p = \\boxed{80}.",
"index": 19661,
"question": "Suppose a collection of variables is related by the following definitions: n = s + 14; h = 5; z = e + 20; p = d + 10; c = u + 13; f = j + 9; e = h + 5; t = n + 7; d = f + 20; s = c + 19; j = z + 11; u = b + 2; b = h + 10. Given that h = 5, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 12", "c": "g + 13", "t": "c + 12", "e": "t + 12", "a": "e + 9", "u": "a + 8", "v": "l + 12", "z": "v + 16", "i": "z + 9", "s": "i + 1", "b": "s + 14", "o": "b + 9", "l": 10}, "premises": {"l": 10}, "target": "u"}, "answer": {"steps": [["a", "e + 9", "e + 17"], ["e", "t + 12", "t + 29"], ["t", "c + 12", "c + 41"], ["c", "g + 13", "g + 54"], ["g", "l + 12", "l + 66"], ["l", 10, "76"]], "target_var_name": "u", "target_value": 76, "value_dict": {"l": 10}, "is_reverse": true}} | 19,662 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = t + 12; s = i + 1; c = g + 13; i = z + 9; l = 10; z = v + 16; v = l + 12; b = s + 14; a = e + 9; o = b + 9; g = l + 12; u = a + 8; t = c + 12. Given that l = 10, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 9 to u, which gives u = e + 17.\n2. Substitute e = t + 12 to u, which gives u = t + 29.\n3. Substitute t = c + 12 to u, which gives u = c + 41.\n4. Substitute c = g + 13 to u, which gives u = g + 54.\n5. Substitute g = l + 12 to u, which gives u = l + 66.\n6. Substitute l = 10 to u, which gives u = 76.\n\nThus, the final answer is u = \\boxed{76}.",
"index": 19662,
"question": "Suppose a collection of variables is related by the following definitions: e = t + 12; s = i + 1; c = g + 13; i = z + 9; l = 10; z = v + 16; v = l + 12; b = s + 14; a = e + 9; o = b + 9; g = l + 12; u = a + 8; t = c + 12. Given that l = 10, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"m": "a + 4", "o": "m + 18", "g": "o + 4", "j": "g + 15", "c": "j + 4", "r": "c + 8", "x": "a + 11", "p": "x + 19", "b": "p + 7", "n": "b + 3", "v": "n + 12", "y": "v + 2", "a": 9}, "premises": {"a": 9}, "target": "r"}, "answer": {"steps": [["c", "j + 4", "j + 12"], ["j", "g + 15", "g + 27"], ["g", "o + 4", "o + 31"], ["o", "m + 18", "m + 49"], ["m", "a + 4", "a + 53"], ["a", 9, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"a": 9}, "is_reverse": true}} | 19,663 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = c + 8; j = g + 15; o = m + 18; b = p + 7; a = 9; g = o + 4; m = a + 4; y = v + 2; n = b + 3; v = n + 12; c = j + 4; p = x + 19; x = a + 11. Given that a = 9, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 4 to r, which gives r = j + 12.\n2. Substitute j = g + 15 to r, which gives r = g + 27.\n3. Substitute g = o + 4 to r, which gives r = o + 31.\n4. Substitute o = m + 18 to r, which gives r = m + 49.\n5. Substitute m = a + 4 to r, which gives r = a + 53.\n6. Substitute a = 9 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 19663,
"question": "Suppose a collection of variables is related by the following definitions: r = c + 8; j = g + 15; o = m + 18; b = p + 7; a = 9; g = o + 4; m = a + 4; y = v + 2; n = b + 3; v = n + 12; c = j + 4; p = x + 19; x = a + 11. Given that a = 9, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 15", "y": "t + 15", "x": "y + 7", "h": "x + 12", "i": "h + 12", "e": "i + 7", "n": "c + 12", "s": "n + 1", "w": "s + 5", "q": "w + 7", "z": "q + 4", "j": "z + 17", "c": 18}, "premises": {"c": 18}, "target": "e"}, "answer": {"steps": [["i", "h + 12", "h + 19"], ["h", "x + 12", "x + 31"], ["x", "y + 7", "y + 38"], ["y", "t + 15", "t + 53"], ["t", "c + 15", "c + 68"], ["c", 18, "86"]], "target_var_name": "e", "target_value": 86, "value_dict": {"c": 18}, "is_reverse": true}} | 19,664 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = t + 15; h = x + 12; q = w + 7; c = 18; z = q + 4; w = s + 5; n = c + 12; t = c + 15; x = y + 7; j = z + 17; s = n + 1; e = i + 7; i = h + 12. If c = 18, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 12 to e, which gives e = h + 19.\n2. Substitute h = x + 12 to e, which gives e = x + 31.\n3. Substitute x = y + 7 to e, which gives e = y + 38.\n4. Substitute y = t + 15 to e, which gives e = t + 53.\n5. Substitute t = c + 15 to e, which gives e = c + 68.\n6. Substitute c = 18 to e, which gives e = 86.\n\nThus, the final answer is e = \\boxed{86}.",
"index": 19664,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = t + 15; h = x + 12; q = w + 7; c = 18; z = q + 4; w = s + 5; n = c + 12; t = c + 15; x = y + 7; j = z + 17; s = n + 1; e = i + 7; i = h + 12. If c = 18, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 11", "k": "s + 6", "h": "k + 3", "i": "h + 12", "d": "i + 2", "q": "d + 5", "e": "l + 6", "f": "e + 9", "w": "f + 14", "b": "w + 5", "a": "b + 3", "y": "a + 17", "l": 16}, "premises": {"l": 16}, "target": "q"}, "answer": {"steps": [["d", "i + 2", "i + 7"], ["i", "h + 12", "h + 19"], ["h", "k + 3", "k + 22"], ["k", "s + 6", "s + 28"], ["s", "l + 11", "l + 39"], ["l", 16, "55"]], "target_var_name": "q", "target_value": 55, "value_dict": {"l": 16}, "is_reverse": true}} | 19,665 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = s + 6; h = k + 3; d = i + 2; w = f + 14; b = w + 5; i = h + 12; y = a + 17; f = e + 9; a = b + 3; s = l + 11; q = d + 5; l = 16; e = l + 6. If l = 16, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 2 to q, which gives q = i + 7.\n2. Substitute i = h + 12 to q, which gives q = h + 19.\n3. Substitute h = k + 3 to q, which gives q = k + 22.\n4. Substitute k = s + 6 to q, which gives q = s + 28.\n5. Substitute s = l + 11 to q, which gives q = l + 39.\n6. Substitute l = 16 to q, which gives q = 55.\n\nThus, the final answer is q = \\boxed{55}.",
"index": 19665,
"question": "Consider a system of variables where each variable is defined as follows: k = s + 6; h = k + 3; d = i + 2; w = f + 14; b = w + 5; i = h + 12; y = a + 17; f = e + 9; a = b + 3; s = l + 11; q = d + 5; l = 16; e = l + 6. If l = 16, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 4", "l": "n + 19", "b": "l + 13", "o": "b + 19", "h": "o + 10", "w": "h + 14", "u": "f + 2", "g": "u + 9", "k": "g + 3", "j": "k + 15", "x": "j + 17", "d": "x + 4", "f": 8}, "premises": {"f": 8}, "target": "w"}, "answer": {"steps": [["h", "o + 10", "o + 24"], ["o", "b + 19", "b + 43"], ["b", "l + 13", "l + 56"], ["l", "n + 19", "n + 75"], ["n", "f + 4", "f + 79"], ["f", 8, "87"]], "target_var_name": "w", "target_value": 87, "value_dict": {"f": 8}, "is_reverse": true}} | 19,666 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = x + 4; w = h + 14; x = j + 17; l = n + 19; n = f + 4; f = 8; h = o + 10; g = u + 9; k = g + 3; u = f + 2; o = b + 19; b = l + 13; j = k + 15. If f = 8, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 10 to w, which gives w = o + 24.\n2. Substitute o = b + 19 to w, which gives w = b + 43.\n3. Substitute b = l + 13 to w, which gives w = l + 56.\n4. Substitute l = n + 19 to w, which gives w = n + 75.\n5. Substitute n = f + 4 to w, which gives w = f + 79.\n6. Substitute f = 8 to w, which gives w = 87.\n\nThus, the final answer is w = \\boxed{87}.",
"index": 19666,
"question": "Consider a system of variables where each variable is defined as follows: d = x + 4; w = h + 14; x = j + 17; l = n + 19; n = f + 4; f = 8; h = o + 10; g = u + 9; k = g + 3; u = f + 2; o = b + 19; b = l + 13; j = k + 15. If f = 8, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 17", "l": "t + 15", "z": "l + 17", "s": "z + 20", "i": "s + 15", "h": "i + 10", "u": "q + 11", "w": "u + 1", "k": "w + 14", "p": "k + 2", "y": "p + 5", "f": "y + 12", "q": 5}, "premises": {"q": 5}, "target": "h"}, "answer": {"steps": [["i", "s + 15", "s + 25"], ["s", "z + 20", "z + 45"], ["z", "l + 17", "l + 62"], ["l", "t + 15", "t + 77"], ["t", "q + 17", "q + 94"], ["q", 5, "99"]], "target_var_name": "h", "target_value": 99, "value_dict": {"q": 5}, "is_reverse": true}} | 19,667 | 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 = y + 12; i = s + 15; h = i + 10; q = 5; y = p + 5; s = z + 20; p = k + 2; t = q + 17; w = u + 1; z = l + 17; k = w + 14; l = t + 15; u = q + 11. If q = 5, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 15 to h, which gives h = s + 25.\n2. Substitute s = z + 20 to h, which gives h = z + 45.\n3. Substitute z = l + 17 to h, which gives h = l + 62.\n4. Substitute l = t + 15 to h, which gives h = t + 77.\n5. Substitute t = q + 17 to h, which gives h = q + 94.\n6. Substitute q = 5 to h, which gives h = 99.\n\nThus, the final answer is h = \\boxed{99}.",
"index": 19667,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 12; i = s + 15; h = i + 10; q = 5; y = p + 5; s = z + 20; p = k + 2; t = q + 17; w = u + 1; z = l + 17; k = w + 14; l = t + 15; u = q + 11. If q = 5, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"l": "s + 10", "h": "l + 1", "a": "h + 4", "z": "a + 9", "n": "z + 14", "o": "n + 5", "x": "s + 3", "f": "x + 16", "e": "f + 10", "q": "e + 8", "c": "q + 7", "d": "c + 13", "s": 4}, "premises": {"s": 4}, "target": "o"}, "answer": {"steps": [["n", "z + 14", "z + 19"], ["z", "a + 9", "a + 28"], ["a", "h + 4", "h + 32"], ["h", "l + 1", "l + 33"], ["l", "s + 10", "s + 43"], ["s", 4, "47"]], "target_var_name": "o", "target_value": 47, "value_dict": {"s": 4}, "is_reverse": true}} | 19,668 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = q + 7; q = e + 8; a = h + 4; e = f + 10; o = n + 5; f = x + 16; s = 4; n = z + 14; l = s + 10; d = c + 13; x = s + 3; z = a + 9; h = l + 1. Given that s = 4, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 14 to o, which gives o = z + 19.\n2. Substitute z = a + 9 to o, which gives o = a + 28.\n3. Substitute a = h + 4 to o, which gives o = h + 32.\n4. Substitute h = l + 1 to o, which gives o = l + 33.\n5. Substitute l = s + 10 to o, which gives o = s + 43.\n6. Substitute s = 4 to o, which gives o = 47.\n\nThus, the final answer is o = \\boxed{47}.",
"index": 19668,
"question": "Suppose a collection of variables is related by the following definitions: c = q + 7; q = e + 8; a = h + 4; e = f + 10; o = n + 5; f = x + 16; s = 4; n = z + 14; l = s + 10; d = c + 13; x = s + 3; z = a + 9; h = l + 1. Given that s = 4, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 3", "o": "q + 18", "r": "o + 18", "e": "r + 2", "y": "e + 16", "u": "y + 14", "p": "s + 13", "l": "p + 9", "v": "l + 9", "j": "v + 19", "d": "j + 2", "h": "d + 12", "s": 20}, "premises": {"s": 20}, "target": "u"}, "answer": {"steps": [["y", "e + 16", "e + 30"], ["e", "r + 2", "r + 32"], ["r", "o + 18", "o + 50"], ["o", "q + 18", "q + 68"], ["q", "s + 3", "s + 71"], ["s", 20, "91"]], "target_var_name": "u", "target_value": 91, "value_dict": {"s": 20}, "is_reverse": true}} | 19,669 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = j + 2; j = v + 19; q = s + 3; r = o + 18; v = l + 9; p = s + 13; h = d + 12; l = p + 9; o = q + 18; u = y + 14; e = r + 2; s = 20; y = e + 16. If s = 20, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 16 to u, which gives u = e + 30.\n2. Substitute e = r + 2 to u, which gives u = r + 32.\n3. Substitute r = o + 18 to u, which gives u = o + 50.\n4. Substitute o = q + 18 to u, which gives u = q + 68.\n5. Substitute q = s + 3 to u, which gives u = s + 71.\n6. Substitute s = 20 to u, which gives u = 91.\n\nThus, the final answer is u = \\boxed{91}.",
"index": 19669,
"question": "Consider a system of variables where each variable is defined as follows: d = j + 2; j = v + 19; q = s + 3; r = o + 18; v = l + 9; p = s + 13; h = d + 12; l = p + 9; o = q + 18; u = y + 14; e = r + 2; s = 20; y = e + 16. If s = 20, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 13", "u": "h + 1", "s": "u + 14", "e": "s + 19", "q": "e + 5", "n": "q + 8", "r": "a + 19", "k": "r + 16", "o": "k + 11", "v": "o + 11", "l": "v + 17", "w": "l + 8", "a": 15}, "premises": {"a": 15}, "target": "n"}, "answer": {"steps": [["q", "e + 5", "e + 13"], ["e", "s + 19", "s + 32"], ["s", "u + 14", "u + 46"], ["u", "h + 1", "h + 47"], ["h", "a + 13", "a + 60"], ["a", 15, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"a": 15}, "is_reverse": true}} | 19,670 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = v + 17; u = h + 1; s = u + 14; k = r + 16; e = s + 19; h = a + 13; n = q + 8; q = e + 5; a = 15; r = a + 19; v = o + 11; o = k + 11; w = l + 8. Given that a = 15, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 5 to n, which gives n = e + 13.\n2. Substitute e = s + 19 to n, which gives n = s + 32.\n3. Substitute s = u + 14 to n, which gives n = u + 46.\n4. Substitute u = h + 1 to n, which gives n = h + 47.\n5. Substitute h = a + 13 to n, which gives n = a + 60.\n6. Substitute a = 15 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 19670,
"question": "Suppose a collection of variables is related by the following definitions: l = v + 17; u = h + 1; s = u + 14; k = r + 16; e = s + 19; h = a + 13; n = q + 8; q = e + 5; a = 15; r = a + 19; v = o + 11; o = k + 11; w = l + 8. Given that a = 15, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 6", "p": "k + 1", "n": "p + 12", "w": "n + 18", "t": "w + 7", "l": "t + 11", "m": "v + 17", "h": "m + 18", "f": "h + 16", "y": "f + 13", "x": "y + 12", "j": "x + 4", "v": 8}, "premises": {"v": 8}, "target": "l"}, "answer": {"steps": [["t", "w + 7", "w + 18"], ["w", "n + 18", "n + 36"], ["n", "p + 12", "p + 48"], ["p", "k + 1", "k + 49"], ["k", "v + 6", "v + 55"], ["v", 8, "63"]], "target_var_name": "l", "target_value": 63, "value_dict": {"v": 8}, "is_reverse": true}} | 19,671 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = p + 12; m = v + 17; x = y + 12; v = 8; h = m + 18; j = x + 4; k = v + 6; f = h + 16; l = t + 11; w = n + 18; t = w + 7; y = f + 13; p = k + 1. If v = 8, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 7 to l, which gives l = w + 18.\n2. Substitute w = n + 18 to l, which gives l = n + 36.\n3. Substitute n = p + 12 to l, which gives l = p + 48.\n4. Substitute p = k + 1 to l, which gives l = k + 49.\n5. Substitute k = v + 6 to l, which gives l = v + 55.\n6. Substitute v = 8 to l, which gives l = 63.\n\nThus, the final answer is l = \\boxed{63}.",
"index": 19671,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = p + 12; m = v + 17; x = y + 12; v = 8; h = m + 18; j = x + 4; k = v + 6; f = h + 16; l = t + 11; w = n + 18; t = w + 7; y = f + 13; p = k + 1. If v = 8, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 10", "c": "v + 19", "q": "c + 18", "d": "q + 4", "n": "d + 9", "y": "n + 9", "o": "f + 13", "s": "o + 12", "x": "s + 9", "g": "x + 8", "b": "g + 20", "z": "b + 20", "f": 11}, "premises": {"f": 11}, "target": "y"}, "answer": {"steps": [["n", "d + 9", "d + 18"], ["d", "q + 4", "q + 22"], ["q", "c + 18", "c + 40"], ["c", "v + 19", "v + 59"], ["v", "f + 10", "f + 69"], ["f", 11, "80"]], "target_var_name": "y", "target_value": 80, "value_dict": {"f": 11}, "is_reverse": true}} | 19,672 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = n + 9; d = q + 4; c = v + 19; g = x + 8; n = d + 9; f = 11; s = o + 12; o = f + 13; v = f + 10; q = c + 18; x = s + 9; b = g + 20; z = b + 20. If f = 11, 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 n = d + 9 to y, which gives y = d + 18.\n2. Substitute d = q + 4 to y, which gives y = q + 22.\n3. Substitute q = c + 18 to y, which gives y = c + 40.\n4. Substitute c = v + 19 to y, which gives y = v + 59.\n5. Substitute v = f + 10 to y, which gives y = f + 69.\n6. Substitute f = 11 to y, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 19672,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = n + 9; d = q + 4; c = v + 19; g = x + 8; n = d + 9; f = 11; s = o + 12; o = f + 13; v = f + 10; q = c + 18; x = s + 9; b = g + 20; z = b + 20. If f = 11, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 19", "y": "w + 16", "h": "y + 15", "c": "h + 9", "x": "c + 1", "j": "x + 13", "d": "u + 10", "o": "d + 3", "i": "o + 8", "m": "i + 13", "f": "m + 11", "p": "f + 19", "u": 6}, "premises": {"u": 6}, "target": "j"}, "answer": {"steps": [["x", "c + 1", "c + 14"], ["c", "h + 9", "h + 23"], ["h", "y + 15", "y + 38"], ["y", "w + 16", "w + 54"], ["w", "u + 19", "u + 73"], ["u", 6, "79"]], "target_var_name": "j", "target_value": 79, "value_dict": {"u": 6}, "is_reverse": true}} | 19,673 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = d + 3; i = o + 8; h = y + 15; j = x + 13; x = c + 1; y = w + 16; m = i + 13; p = f + 19; u = 6; c = h + 9; d = u + 10; w = u + 19; f = m + 11. Given that u = 6, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 1 to j, which gives j = c + 14.\n2. Substitute c = h + 9 to j, which gives j = h + 23.\n3. Substitute h = y + 15 to j, which gives j = y + 38.\n4. Substitute y = w + 16 to j, which gives j = w + 54.\n5. Substitute w = u + 19 to j, which gives j = u + 73.\n6. Substitute u = 6 to j, which gives j = 79.\n\nThus, the final answer is j = \\boxed{79}.",
"index": 19673,
"question": "Suppose a collection of variables is related by the following definitions: o = d + 3; i = o + 8; h = y + 15; j = x + 13; x = c + 1; y = w + 16; m = i + 13; p = f + 19; u = 6; c = h + 9; d = u + 10; w = u + 19; f = m + 11. Given that u = 6, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 5", "q": "m + 15", "u": "q + 17", "x": "u + 11", "p": "x + 10", "v": "p + 9", "z": "b + 19", "k": "z + 10", "g": "k + 1", "o": "g + 4", "j": "o + 13", "n": "j + 1", "b": 8}, "premises": {"b": 8}, "target": "v"}, "answer": {"steps": [["p", "x + 10", "x + 19"], ["x", "u + 11", "u + 30"], ["u", "q + 17", "q + 47"], ["q", "m + 15", "m + 62"], ["m", "b + 5", "b + 67"], ["b", 8, "75"]], "target_var_name": "v", "target_value": 75, "value_dict": {"b": 8}, "is_reverse": true}} | 19,674 | 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 = u + 11; z = b + 19; q = m + 15; k = z + 10; g = k + 1; p = x + 10; n = j + 1; v = p + 9; m = b + 5; o = g + 4; u = q + 17; b = 8; j = o + 13. If b = 8, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 10 to v, which gives v = x + 19.\n2. Substitute x = u + 11 to v, which gives v = u + 30.\n3. Substitute u = q + 17 to v, which gives v = q + 47.\n4. Substitute q = m + 15 to v, which gives v = m + 62.\n5. Substitute m = b + 5 to v, which gives v = b + 67.\n6. Substitute b = 8 to v, which gives v = 75.\n\nThus, the final answer is v = \\boxed{75}.",
"index": 19674,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = u + 11; z = b + 19; q = m + 15; k = z + 10; g = k + 1; p = x + 10; n = j + 1; v = p + 9; m = b + 5; o = g + 4; u = q + 17; b = 8; j = o + 13. If b = 8, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 2", "r": "x + 15", "p": "r + 14", "j": "p + 16", "h": "j + 7", "k": "h + 19", "g": "w + 14", "f": "g + 3", "e": "f + 17", "y": "e + 6", "c": "y + 2", "o": "c + 2", "w": 14}, "premises": {"w": 14}, "target": "k"}, "answer": {"steps": [["h", "j + 7", "j + 26"], ["j", "p + 16", "p + 42"], ["p", "r + 14", "r + 56"], ["r", "x + 15", "x + 71"], ["x", "w + 2", "w + 73"], ["w", 14, "87"]], "target_var_name": "k", "target_value": 87, "value_dict": {"w": 14}, "is_reverse": true}} | 19,675 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = g + 3; w = 14; y = e + 6; c = y + 2; o = c + 2; j = p + 16; h = j + 7; p = r + 14; e = f + 17; x = w + 2; r = x + 15; g = w + 14; k = h + 19. If w = 14, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 7 to k, which gives k = j + 26.\n2. Substitute j = p + 16 to k, which gives k = p + 42.\n3. Substitute p = r + 14 to k, which gives k = r + 56.\n4. Substitute r = x + 15 to k, which gives k = x + 71.\n5. Substitute x = w + 2 to k, which gives k = w + 73.\n6. Substitute w = 14 to k, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 19675,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = g + 3; w = 14; y = e + 6; c = y + 2; o = c + 2; j = p + 16; h = j + 7; p = r + 14; e = f + 17; x = w + 2; r = x + 15; g = w + 14; k = h + 19. If w = 14, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 11", "c": "a + 9", "e": "c + 1", "n": "e + 16", "p": "n + 20", "k": "p + 19", "r": "m + 12", "x": "r + 15", "f": "x + 8", "j": "f + 5", "o": "j + 13", "h": "o + 13", "m": 2}, "premises": {"m": 2}, "target": "k"}, "answer": {"steps": [["p", "n + 20", "n + 39"], ["n", "e + 16", "e + 55"], ["e", "c + 1", "c + 56"], ["c", "a + 9", "a + 65"], ["a", "m + 11", "m + 76"], ["m", 2, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"m": 2}, "is_reverse": true}} | 19,676 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = p + 19; a = m + 11; p = n + 20; n = e + 16; o = j + 13; h = o + 13; m = 2; r = m + 12; f = x + 8; c = a + 9; x = r + 15; e = c + 1; j = f + 5. If m = 2, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 20 to k, which gives k = n + 39.\n2. Substitute n = e + 16 to k, which gives k = e + 55.\n3. Substitute e = c + 1 to k, which gives k = c + 56.\n4. Substitute c = a + 9 to k, which gives k = a + 65.\n5. Substitute a = m + 11 to k, which gives k = m + 76.\n6. Substitute m = 2 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 19676,
"question": "Consider a system of variables where each variable is defined as follows: k = p + 19; a = m + 11; p = n + 20; n = e + 16; o = j + 13; h = o + 13; m = 2; r = m + 12; f = x + 8; c = a + 9; x = r + 15; e = c + 1; j = f + 5. If m = 2, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 14", "b": "v + 5", "p": "b + 3", "w": "p + 16", "m": "w + 16", "y": "m + 3", "k": "r + 16", "n": "k + 13", "j": "n + 4", "a": "j + 3", "h": "a + 14", "l": "h + 5", "r": 3}, "premises": {"r": 3}, "target": "y"}, "answer": {"steps": [["m", "w + 16", "w + 19"], ["w", "p + 16", "p + 35"], ["p", "b + 3", "b + 38"], ["b", "v + 5", "v + 43"], ["v", "r + 14", "r + 57"], ["r", 3, "60"]], "target_var_name": "y", "target_value": 60, "value_dict": {"r": 3}, "is_reverse": true}} | 19,677 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = 3; j = n + 4; a = j + 3; w = p + 16; v = r + 14; n = k + 13; p = b + 3; b = v + 5; h = a + 14; y = m + 3; m = w + 16; l = h + 5; k = r + 16. If r = 3, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 16 to y, which gives y = w + 19.\n2. Substitute w = p + 16 to y, which gives y = p + 35.\n3. Substitute p = b + 3 to y, which gives y = b + 38.\n4. Substitute b = v + 5 to y, which gives y = v + 43.\n5. Substitute v = r + 14 to y, which gives y = r + 57.\n6. Substitute r = 3 to y, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 19677,
"question": "Consider a system of variables where each variable is defined as follows: r = 3; j = n + 4; a = j + 3; w = p + 16; v = r + 14; n = k + 13; p = b + 3; b = v + 5; h = a + 14; y = m + 3; m = w + 16; l = h + 5; k = r + 16. If r = 3, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 12", "a": "z + 19", "c": "a + 8", "h": "c + 17", "e": "h + 5", "o": "e + 4", "f": "r + 9", "b": "f + 14", "x": "b + 20", "g": "x + 1", "p": "g + 18", "s": "p + 16", "r": 16}, "premises": {"r": 16}, "target": "o"}, "answer": {"steps": [["e", "h + 5", "h + 9"], ["h", "c + 17", "c + 26"], ["c", "a + 8", "a + 34"], ["a", "z + 19", "z + 53"], ["z", "r + 12", "r + 65"], ["r", 16, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"r": 16}, "is_reverse": true}} | 19,678 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = g + 18; s = p + 16; e = h + 5; g = x + 1; f = r + 9; x = b + 20; r = 16; h = c + 17; b = f + 14; c = a + 8; a = z + 19; z = r + 12; o = e + 4. Given that r = 16, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 5 to o, which gives o = h + 9.\n2. Substitute h = c + 17 to o, which gives o = c + 26.\n3. Substitute c = a + 8 to o, which gives o = a + 34.\n4. Substitute a = z + 19 to o, which gives o = z + 53.\n5. Substitute z = r + 12 to o, which gives o = r + 65.\n6. Substitute r = 16 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 19678,
"question": "Suppose a collection of variables is related by the following definitions: p = g + 18; s = p + 16; e = h + 5; g = x + 1; f = r + 9; x = b + 20; r = 16; h = c + 17; b = f + 14; c = a + 8; a = z + 19; z = r + 12; o = e + 4. Given that r = 16, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 3", "r": "e + 18", "n": "r + 12", "h": "n + 4", "q": "h + 4", "x": "q + 13", "o": "b + 19", "t": "o + 1", "f": "t + 18", "s": "f + 5", "m": "s + 4", "l": "m + 8", "b": 15}, "premises": {"b": 15}, "target": "x"}, "answer": {"steps": [["q", "h + 4", "h + 17"], ["h", "n + 4", "n + 21"], ["n", "r + 12", "r + 33"], ["r", "e + 18", "e + 51"], ["e", "b + 3", "b + 54"], ["b", 15, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"b": 15}, "is_reverse": true}} | 19,679 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = o + 1; o = b + 19; f = t + 18; q = h + 4; b = 15; s = f + 5; h = n + 4; x = q + 13; m = s + 4; r = e + 18; l = m + 8; e = b + 3; n = r + 12. If b = 15, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 4 to x, which gives x = h + 17.\n2. Substitute h = n + 4 to x, which gives x = n + 21.\n3. Substitute n = r + 12 to x, which gives x = r + 33.\n4. Substitute r = e + 18 to x, which gives x = e + 51.\n5. Substitute e = b + 3 to x, which gives x = b + 54.\n6. Substitute b = 15 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 19679,
"question": "Consider a system of variables where each variable is defined as follows: t = o + 1; o = b + 19; f = t + 18; q = h + 4; b = 15; s = f + 5; h = n + 4; x = q + 13; m = s + 4; r = e + 18; l = m + 8; e = b + 3; n = r + 12. If b = 15, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 2", "f": "p + 1", "b": "f + 8", "v": "b + 11", "x": "v + 19", "y": "x + 12", "k": "u + 15", "q": "k + 11", "e": "q + 19", "n": "e + 13", "w": "n + 13", "j": "w + 16", "u": 8}, "premises": {"u": 8}, "target": "y"}, "answer": {"steps": [["x", "v + 19", "v + 31"], ["v", "b + 11", "b + 42"], ["b", "f + 8", "f + 50"], ["f", "p + 1", "p + 51"], ["p", "u + 2", "u + 53"], ["u", 8, "61"]], "target_var_name": "y", "target_value": 61, "value_dict": {"u": 8}, "is_reverse": true}} | 19,680 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = w + 16; w = n + 13; e = q + 19; f = p + 1; y = x + 12; p = u + 2; x = v + 19; n = e + 13; v = b + 11; k = u + 15; u = 8; b = f + 8; q = k + 11. If u = 8, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 19 to y, which gives y = v + 31.\n2. Substitute v = b + 11 to y, which gives y = b + 42.\n3. Substitute b = f + 8 to y, which gives y = f + 50.\n4. Substitute f = p + 1 to y, which gives y = p + 51.\n5. Substitute p = u + 2 to y, which gives y = u + 53.\n6. Substitute u = 8 to y, which gives y = 61.\n\nThus, the final answer is y = \\boxed{61}.",
"index": 19680,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = w + 16; w = n + 13; e = q + 19; f = p + 1; y = x + 12; p = u + 2; x = v + 19; n = e + 13; v = b + 11; k = u + 15; u = 8; b = f + 8; q = k + 11. If u = 8, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 19", "d": "g + 6", "n": "d + 6", "s": "n + 18", "o": "s + 10", "y": "o + 10", "q": "m + 7", "f": "q + 16", "t": "f + 4", "e": "t + 13", "c": "e + 12", "h": "c + 16", "m": 19}, "premises": {"m": 19}, "target": "y"}, "answer": {"steps": [["o", "s + 10", "s + 20"], ["s", "n + 18", "n + 38"], ["n", "d + 6", "d + 44"], ["d", "g + 6", "g + 50"], ["g", "m + 19", "m + 69"], ["m", 19, "88"]], "target_var_name": "y", "target_value": 88, "value_dict": {"m": 19}, "is_reverse": true}} | 19,681 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = t + 13; d = g + 6; c = e + 12; m = 19; f = q + 16; t = f + 4; q = m + 7; o = s + 10; s = n + 18; h = c + 16; y = o + 10; g = m + 19; n = d + 6. If m = 19, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 10 to y, which gives y = s + 20.\n2. Substitute s = n + 18 to y, which gives y = n + 38.\n3. Substitute n = d + 6 to y, which gives y = d + 44.\n4. Substitute d = g + 6 to y, which gives y = g + 50.\n5. Substitute g = m + 19 to y, which gives y = m + 69.\n6. Substitute m = 19 to y, which gives y = 88.\n\nThus, the final answer is y = \\boxed{88}.",
"index": 19681,
"question": "Consider a system of variables where each variable is defined as follows: e = t + 13; d = g + 6; c = e + 12; m = 19; f = q + 16; t = f + 4; q = m + 7; o = s + 10; s = n + 18; h = c + 16; y = o + 10; g = m + 19; n = d + 6. If m = 19, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 9", "v": "f + 18", "n": "v + 17", "h": "n + 13", "u": "h + 7", "k": "u + 2", "o": "a + 20", "i": "o + 12", "w": "i + 4", "t": "w + 6", "r": "t + 13", "b": "r + 17", "a": 17}, "premises": {"a": 17}, "target": "k"}, "answer": {"steps": [["u", "h + 7", "h + 9"], ["h", "n + 13", "n + 22"], ["n", "v + 17", "v + 39"], ["v", "f + 18", "f + 57"], ["f", "a + 9", "a + 66"], ["a", 17, "83"]], "target_var_name": "k", "target_value": 83, "value_dict": {"a": 17}, "is_reverse": true}} | 19,682 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = h + 7; b = r + 17; n = v + 17; k = u + 2; a = 17; w = i + 4; r = t + 13; i = o + 12; v = f + 18; o = a + 20; h = n + 13; t = w + 6; f = a + 9. If a = 17, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 7 to k, which gives k = h + 9.\n2. Substitute h = n + 13 to k, which gives k = n + 22.\n3. Substitute n = v + 17 to k, which gives k = v + 39.\n4. Substitute v = f + 18 to k, which gives k = f + 57.\n5. Substitute f = a + 9 to k, which gives k = a + 66.\n6. Substitute a = 17 to k, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 19682,
"question": "Consider a system of variables where each variable is defined as follows: u = h + 7; b = r + 17; n = v + 17; k = u + 2; a = 17; w = i + 4; r = t + 13; i = o + 12; v = f + 18; o = a + 20; h = n + 13; t = w + 6; f = a + 9. If a = 17, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 3", "v": "m + 10", "g": "v + 15", "f": "g + 9", "a": "f + 7", "u": "a + 5", "s": "t + 20", "d": "s + 19", "y": "d + 8", "n": "y + 4", "z": "n + 17", "k": "z + 9", "t": 6}, "premises": {"t": 6}, "target": "u"}, "answer": {"steps": [["a", "f + 7", "f + 12"], ["f", "g + 9", "g + 21"], ["g", "v + 15", "v + 36"], ["v", "m + 10", "m + 46"], ["m", "t + 3", "t + 49"], ["t", 6, "55"]], "target_var_name": "u", "target_value": 55, "value_dict": {"t": 6}, "is_reverse": true}} | 19,683 | 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 + 17; f = g + 9; k = z + 9; y = d + 8; a = f + 7; s = t + 20; u = a + 5; m = t + 3; d = s + 19; g = v + 15; v = m + 10; n = y + 4; t = 6. If t = 6, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 7 to u, which gives u = f + 12.\n2. Substitute f = g + 9 to u, which gives u = g + 21.\n3. Substitute g = v + 15 to u, which gives u = v + 36.\n4. Substitute v = m + 10 to u, which gives u = m + 46.\n5. Substitute m = t + 3 to u, which gives u = t + 49.\n6. Substitute t = 6 to u, which gives u = 55.\n\nThus, the final answer is u = \\boxed{55}.",
"index": 19683,
"question": "Consider a system of variables where each variable is defined as follows: z = n + 17; f = g + 9; k = z + 9; y = d + 8; a = f + 7; s = t + 20; u = a + 5; m = t + 3; d = s + 19; g = v + 15; v = m + 10; n = y + 4; t = 6. If t = 6, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 10", "g": "j + 5", "s": "g + 1", "b": "s + 11", "t": "b + 11", "l": "t + 12", "a": "e + 6", "p": "a + 4", "i": "p + 6", "w": "i + 12", "k": "w + 19", "o": "k + 18", "e": 20}, "premises": {"e": 20}, "target": "l"}, "answer": {"steps": [["t", "b + 11", "b + 23"], ["b", "s + 11", "s + 34"], ["s", "g + 1", "g + 35"], ["g", "j + 5", "j + 40"], ["j", "e + 10", "e + 50"], ["e", 20, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"e": 20}, "is_reverse": true}} | 19,684 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = e + 6; w = i + 12; b = s + 11; j = e + 10; t = b + 11; g = j + 5; p = a + 4; k = w + 19; s = g + 1; l = t + 12; e = 20; i = p + 6; o = k + 18. Given that e = 20, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = b + 11 to l, which gives l = b + 23.\n2. Substitute b = s + 11 to l, which gives l = s + 34.\n3. Substitute s = g + 1 to l, which gives l = g + 35.\n4. Substitute g = j + 5 to l, which gives l = j + 40.\n5. Substitute j = e + 10 to l, which gives l = e + 50.\n6. Substitute e = 20 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 19684,
"question": "Suppose a collection of variables is related by the following definitions: a = e + 6; w = i + 12; b = s + 11; j = e + 10; t = b + 11; g = j + 5; p = a + 4; k = w + 19; s = g + 1; l = t + 12; e = 20; i = p + 6; o = k + 18. Given that e = 20, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 3", "w": "g + 3", "f": "w + 1", "i": "f + 13", "e": "i + 18", "x": "e + 11", "t": "o + 5", "s": "t + 17", "m": "s + 12", "a": "m + 14", "r": "a + 11", "l": "r + 16", "o": 16}, "premises": {"o": 16}, "target": "x"}, "answer": {"steps": [["e", "i + 18", "i + 29"], ["i", "f + 13", "f + 42"], ["f", "w + 1", "w + 43"], ["w", "g + 3", "g + 46"], ["g", "o + 3", "o + 49"], ["o", 16, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"o": 16}, "is_reverse": true}} | 19,685 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = i + 18; f = w + 1; s = t + 17; r = a + 11; l = r + 16; g = o + 3; a = m + 14; x = e + 11; m = s + 12; w = g + 3; i = f + 13; t = o + 5; o = 16. Given that o = 16, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 18 to x, which gives x = i + 29.\n2. Substitute i = f + 13 to x, which gives x = f + 42.\n3. Substitute f = w + 1 to x, which gives x = w + 43.\n4. Substitute w = g + 3 to x, which gives x = g + 46.\n5. Substitute g = o + 3 to x, which gives x = o + 49.\n6. Substitute o = 16 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 19685,
"question": "Suppose a collection of variables is related by the following definitions: e = i + 18; f = w + 1; s = t + 17; r = a + 11; l = r + 16; g = o + 3; a = m + 14; x = e + 11; m = s + 12; w = g + 3; i = f + 13; t = o + 5; o = 16. Given that o = 16, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"z": "x + 11", "s": "z + 5", "u": "s + 13", "e": "u + 4", "r": "e + 20", "l": "r + 1", "q": "x + 11", "i": "q + 4", "d": "i + 14", "k": "d + 14", "g": "k + 20", "y": "g + 3", "x": 3}, "premises": {"x": 3}, "target": "l"}, "answer": {"steps": [["r", "e + 20", "e + 21"], ["e", "u + 4", "u + 25"], ["u", "s + 13", "s + 38"], ["s", "z + 5", "z + 43"], ["z", "x + 11", "x + 54"], ["x", 3, "57"]], "target_var_name": "l", "target_value": 57, "value_dict": {"x": 3}, "is_reverse": true}} | 19,686 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = d + 14; z = x + 11; i = q + 4; s = z + 5; e = u + 4; l = r + 1; r = e + 20; d = i + 14; u = s + 13; g = k + 20; q = x + 11; y = g + 3; x = 3. If x = 3, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 20 to l, which gives l = e + 21.\n2. Substitute e = u + 4 to l, which gives l = u + 25.\n3. Substitute u = s + 13 to l, which gives l = s + 38.\n4. Substitute s = z + 5 to l, which gives l = z + 43.\n5. Substitute z = x + 11 to l, which gives l = x + 54.\n6. Substitute x = 3 to l, which gives l = 57.\n\nThus, the final answer is l = \\boxed{57}.",
"index": 19686,
"question": "Consider a system of variables where each variable is defined as follows: k = d + 14; z = x + 11; i = q + 4; s = z + 5; e = u + 4; l = r + 1; r = e + 20; d = i + 14; u = s + 13; g = k + 20; q = x + 11; y = g + 3; x = 3. If x = 3, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 8", "m": "d + 8", "c": "m + 18", "u": "c + 9", "x": "u + 20", "i": "x + 3", "j": "l + 3", "r": "j + 3", "b": "r + 1", "e": "b + 2", "t": "e + 10", "v": "t + 12", "l": 5}, "premises": {"l": 5}, "target": "i"}, "answer": {"steps": [["x", "u + 20", "u + 23"], ["u", "c + 9", "c + 32"], ["c", "m + 18", "m + 50"], ["m", "d + 8", "d + 58"], ["d", "l + 8", "l + 66"], ["l", 5, "71"]], "target_var_name": "i", "target_value": 71, "value_dict": {"l": 5}, "is_reverse": true}} | 19,687 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = d + 8; b = r + 1; u = c + 9; i = x + 3; e = b + 2; c = m + 18; d = l + 8; x = u + 20; j = l + 3; v = t + 12; l = 5; t = e + 10; r = j + 3. Given that l = 5, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 20 to i, which gives i = u + 23.\n2. Substitute u = c + 9 to i, which gives i = c + 32.\n3. Substitute c = m + 18 to i, which gives i = m + 50.\n4. Substitute m = d + 8 to i, which gives i = d + 58.\n5. Substitute d = l + 8 to i, which gives i = l + 66.\n6. Substitute l = 5 to i, which gives i = 71.\n\nThus, the final answer is i = \\boxed{71}.",
"index": 19687,
"question": "Suppose a collection of variables is related by the following definitions: m = d + 8; b = r + 1; u = c + 9; i = x + 3; e = b + 2; c = m + 18; d = l + 8; x = u + 20; j = l + 3; v = t + 12; l = 5; t = e + 10; r = j + 3. Given that l = 5, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 19", "p": "k + 12", "n": "p + 10", "e": "n + 16", "x": "e + 13", "g": "x + 13", "b": "s + 6", "q": "b + 1", "u": "q + 2", "f": "u + 6", "j": "f + 7", "v": "j + 8", "s": 6}, "premises": {"s": 6}, "target": "g"}, "answer": {"steps": [["x", "e + 13", "e + 26"], ["e", "n + 16", "n + 42"], ["n", "p + 10", "p + 52"], ["p", "k + 12", "k + 64"], ["k", "s + 19", "s + 83"], ["s", 6, "89"]], "target_var_name": "g", "target_value": 89, "value_dict": {"s": 6}, "is_reverse": true}} | 19,688 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = s + 19; f = u + 6; v = j + 8; g = x + 13; x = e + 13; e = n + 16; n = p + 10; q = b + 1; b = s + 6; s = 6; j = f + 7; p = k + 12; u = q + 2. If s = 6, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 13 to g, which gives g = e + 26.\n2. Substitute e = n + 16 to g, which gives g = n + 42.\n3. Substitute n = p + 10 to g, which gives g = p + 52.\n4. Substitute p = k + 12 to g, which gives g = k + 64.\n5. Substitute k = s + 19 to g, which gives g = s + 83.\n6. Substitute s = 6 to g, which gives g = 89.\n\nThus, the final answer is g = \\boxed{89}.",
"index": 19688,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = s + 19; f = u + 6; v = j + 8; g = x + 13; x = e + 13; e = n + 16; n = p + 10; q = b + 1; b = s + 6; s = 6; j = f + 7; p = k + 12; u = q + 2. If s = 6, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 19", "c": "v + 10", "t": "c + 13", "k": "t + 18", "p": "k + 1", "w": "p + 11", "e": "n + 11", "l": "e + 16", "r": "l + 5", "i": "r + 10", "f": "i + 13", "x": "f + 17", "n": 3}, "premises": {"n": 3}, "target": "w"}, "answer": {"steps": [["p", "k + 1", "k + 12"], ["k", "t + 18", "t + 30"], ["t", "c + 13", "c + 43"], ["c", "v + 10", "v + 53"], ["v", "n + 19", "n + 72"], ["n", 3, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"n": 3}, "is_reverse": true}} | 19,689 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = p + 11; l = e + 16; v = n + 19; i = r + 10; r = l + 5; e = n + 11; t = c + 13; k = t + 18; f = i + 13; n = 3; x = f + 17; c = v + 10; p = k + 1. Given that n = 3, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 1 to w, which gives w = k + 12.\n2. Substitute k = t + 18 to w, which gives w = t + 30.\n3. Substitute t = c + 13 to w, which gives w = c + 43.\n4. Substitute c = v + 10 to w, which gives w = v + 53.\n5. Substitute v = n + 19 to w, which gives w = n + 72.\n6. Substitute n = 3 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 19689,
"question": "Suppose a collection of variables is related by the following definitions: w = p + 11; l = e + 16; v = n + 19; i = r + 10; r = l + 5; e = n + 11; t = c + 13; k = t + 18; f = i + 13; n = 3; x = f + 17; c = v + 10; p = k + 1. Given that n = 3, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"y": "z + 7", "p": "y + 1", "o": "p + 19", "j": "o + 1", "w": "j + 11", "r": "w + 4", "t": "z + 4", "c": "t + 13", "e": "c + 20", "q": "e + 7", "x": "q + 8", "b": "x + 8", "z": 11}, "premises": {"z": 11}, "target": "r"}, "answer": {"steps": [["w", "j + 11", "j + 15"], ["j", "o + 1", "o + 16"], ["o", "p + 19", "p + 35"], ["p", "y + 1", "y + 36"], ["y", "z + 7", "z + 43"], ["z", 11, "54"]], "target_var_name": "r", "target_value": 54, "value_dict": {"z": 11}, "is_reverse": true}} | 19,690 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = c + 20; c = t + 13; q = e + 7; y = z + 7; r = w + 4; p = y + 1; t = z + 4; z = 11; o = p + 19; x = q + 8; j = o + 1; w = j + 11; b = x + 8. Given that z = 11, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 11 to r, which gives r = j + 15.\n2. Substitute j = o + 1 to r, which gives r = o + 16.\n3. Substitute o = p + 19 to r, which gives r = p + 35.\n4. Substitute p = y + 1 to r, which gives r = y + 36.\n5. Substitute y = z + 7 to r, which gives r = z + 43.\n6. Substitute z = 11 to r, which gives r = 54.\n\nThus, the final answer is r = \\boxed{54}.",
"index": 19690,
"question": "Suppose a collection of variables is related by the following definitions: e = c + 20; c = t + 13; q = e + 7; y = z + 7; r = w + 4; p = y + 1; t = z + 4; z = 11; o = p + 19; x = q + 8; j = o + 1; w = j + 11; b = x + 8. Given that z = 11, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 19", "j": "f + 11", "b": "j + 10", "k": "b + 5", "m": "k + 13", "x": "m + 3", "p": "r + 6", "d": "p + 1", "l": "d + 11", "n": "l + 8", "c": "n + 12", "u": "c + 13", "r": 9}, "premises": {"r": 9}, "target": "x"}, "answer": {"steps": [["m", "k + 13", "k + 16"], ["k", "b + 5", "b + 21"], ["b", "j + 10", "j + 31"], ["j", "f + 11", "f + 42"], ["f", "r + 19", "r + 61"], ["r", 9, "70"]], "target_var_name": "x", "target_value": 70, "value_dict": {"r": 9}, "is_reverse": true}} | 19,691 | 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 = j + 10; m = k + 13; x = m + 3; j = f + 11; k = b + 5; r = 9; d = p + 1; n = l + 8; p = r + 6; c = n + 12; u = c + 13; l = d + 11; f = r + 19. If r = 9, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 13 to x, which gives x = k + 16.\n2. Substitute k = b + 5 to x, which gives x = b + 21.\n3. Substitute b = j + 10 to x, which gives x = j + 31.\n4. Substitute j = f + 11 to x, which gives x = f + 42.\n5. Substitute f = r + 19 to x, which gives x = r + 61.\n6. Substitute r = 9 to x, which gives x = 70.\n\nThus, the final answer is x = \\boxed{70}.",
"index": 19691,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 10; m = k + 13; x = m + 3; j = f + 11; k = b + 5; r = 9; d = p + 1; n = l + 8; p = r + 6; c = n + 12; u = c + 13; l = d + 11; f = r + 19. If r = 9, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 9", "n": "v + 17", "r": "n + 14", "h": "r + 19", "l": "h + 1", "y": "l + 6", "c": "p + 17", "d": "c + 12", "o": "d + 14", "b": "o + 15", "s": "b + 18", "i": "s + 10", "p": 13}, "premises": {"p": 13}, "target": "y"}, "answer": {"steps": [["l", "h + 1", "h + 7"], ["h", "r + 19", "r + 26"], ["r", "n + 14", "n + 40"], ["n", "v + 17", "v + 57"], ["v", "p + 9", "p + 66"], ["p", 13, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"p": 13}, "is_reverse": true}} | 19,692 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = n + 14; l = h + 1; y = l + 6; n = v + 17; p = 13; c = p + 17; h = r + 19; d = c + 12; i = s + 10; v = p + 9; s = b + 18; b = o + 15; o = d + 14. Given that p = 13, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 1 to y, which gives y = h + 7.\n2. Substitute h = r + 19 to y, which gives y = r + 26.\n3. Substitute r = n + 14 to y, which gives y = n + 40.\n4. Substitute n = v + 17 to y, which gives y = v + 57.\n5. Substitute v = p + 9 to y, which gives y = p + 66.\n6. Substitute p = 13 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 19692,
"question": "Suppose a collection of variables is related by the following definitions: r = n + 14; l = h + 1; y = l + 6; n = v + 17; p = 13; c = p + 17; h = r + 19; d = c + 12; i = s + 10; v = p + 9; s = b + 18; b = o + 15; o = d + 14. Given that p = 13, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 8", "h": "t + 7", "o": "h + 1", "b": "o + 20", "w": "b + 12", "r": "w + 1", "e": "u + 2", "v": "e + 20", "p": "v + 17", "f": "p + 19", "l": "f + 1", "z": "l + 13", "u": 6}, "premises": {"u": 6}, "target": "r"}, "answer": {"steps": [["w", "b + 12", "b + 13"], ["b", "o + 20", "o + 33"], ["o", "h + 1", "h + 34"], ["h", "t + 7", "t + 41"], ["t", "u + 8", "u + 49"], ["u", 6, "55"]], "target_var_name": "r", "target_value": 55, "value_dict": {"u": 6}, "is_reverse": true}} | 19,693 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 7; t = u + 8; u = 6; p = v + 17; l = f + 1; r = w + 1; z = l + 13; b = o + 20; f = p + 19; w = b + 12; o = h + 1; e = u + 2; v = e + 20. If u = 6, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 12 to r, which gives r = b + 13.\n2. Substitute b = o + 20 to r, which gives r = o + 33.\n3. Substitute o = h + 1 to r, which gives r = h + 34.\n4. Substitute h = t + 7 to r, which gives r = t + 41.\n5. Substitute t = u + 8 to r, which gives r = u + 49.\n6. Substitute u = 6 to r, which gives r = 55.\n\nThus, the final answer is r = \\boxed{55}.",
"index": 19693,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 7; t = u + 8; u = 6; p = v + 17; l = f + 1; r = w + 1; z = l + 13; b = o + 20; f = p + 19; w = b + 12; o = h + 1; e = u + 2; v = e + 20. If u = 6, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 17", "m": "i + 8", "d": "m + 10", "k": "d + 16", "t": "k + 16", "b": "t + 16", "w": "y + 13", "l": "w + 12", "q": "l + 4", "f": "q + 13", "r": "f + 7", "p": "r + 4", "y": 18}, "premises": {"y": 18}, "target": "b"}, "answer": {"steps": [["t", "k + 16", "k + 32"], ["k", "d + 16", "d + 48"], ["d", "m + 10", "m + 58"], ["m", "i + 8", "i + 66"], ["i", "y + 17", "y + 83"], ["y", 18, "101"]], "target_var_name": "b", "target_value": 101, "value_dict": {"y": 18}, "is_reverse": true}} | 19,694 | 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 + 13; q = l + 4; r = f + 7; k = d + 16; t = k + 16; l = w + 12; p = r + 4; m = i + 8; i = y + 17; w = y + 13; y = 18; b = t + 16; d = m + 10. If y = 18, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 16 to b, which gives b = k + 32.\n2. Substitute k = d + 16 to b, which gives b = d + 48.\n3. Substitute d = m + 10 to b, which gives b = m + 58.\n4. Substitute m = i + 8 to b, which gives b = i + 66.\n5. Substitute i = y + 17 to b, which gives b = y + 83.\n6. Substitute y = 18 to b, which gives b = 101.\n\nThus, the final answer is b = \\boxed{101}.",
"index": 19694,
"question": "Consider a system of variables where each variable is defined as follows: f = q + 13; q = l + 4; r = f + 7; k = d + 16; t = k + 16; l = w + 12; p = r + 4; m = i + 8; i = y + 17; w = y + 13; y = 18; b = t + 16; d = m + 10. If y = 18, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 11", "k": "g + 1", "w": "k + 6", "j": "w + 19", "v": "j + 12", "p": "v + 1", "h": "x + 15", "e": "h + 12", "s": "e + 10", "a": "s + 14", "l": "a + 10", "t": "l + 6", "x": 13}, "premises": {"x": 13}, "target": "p"}, "answer": {"steps": [["v", "j + 12", "j + 13"], ["j", "w + 19", "w + 32"], ["w", "k + 6", "k + 38"], ["k", "g + 1", "g + 39"], ["g", "x + 11", "x + 50"], ["x", 13, "63"]], "target_var_name": "p", "target_value": 63, "value_dict": {"x": 13}, "is_reverse": true}} | 19,695 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 14; w = k + 6; h = x + 15; s = e + 10; j = w + 19; l = a + 10; t = l + 6; x = 13; e = h + 12; g = x + 11; k = g + 1; p = v + 1; v = j + 12. If x = 13, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 12 to p, which gives p = j + 13.\n2. Substitute j = w + 19 to p, which gives p = w + 32.\n3. Substitute w = k + 6 to p, which gives p = k + 38.\n4. Substitute k = g + 1 to p, which gives p = g + 39.\n5. Substitute g = x + 11 to p, which gives p = x + 50.\n6. Substitute x = 13 to p, which gives p = 63.\n\nThus, the final answer is p = \\boxed{63}.",
"index": 19695,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 14; w = k + 6; h = x + 15; s = e + 10; j = w + 19; l = a + 10; t = l + 6; x = 13; e = h + 12; g = x + 11; k = g + 1; p = v + 1; v = j + 12. If x = 13, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 6", "o": "k + 19", "y": "o + 2", "g": "y + 15", "j": "g + 12", "c": "j + 7", "h": "e + 20", "q": "h + 7", "s": "q + 7", "w": "s + 15", "v": "w + 12", "p": "v + 14", "e": 6}, "premises": {"e": 6}, "target": "c"}, "answer": {"steps": [["j", "g + 12", "g + 19"], ["g", "y + 15", "y + 34"], ["y", "o + 2", "o + 36"], ["o", "k + 19", "k + 55"], ["k", "e + 6", "e + 61"], ["e", 6, "67"]], "target_var_name": "c", "target_value": 67, "value_dict": {"e": 6}, "is_reverse": true}} | 19,696 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = w + 12; j = g + 12; o = k + 19; p = v + 14; q = h + 7; g = y + 15; s = q + 7; h = e + 20; w = s + 15; c = j + 7; e = 6; y = o + 2; k = e + 6. Given that e = 6, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 12 to c, which gives c = g + 19.\n2. Substitute g = y + 15 to c, which gives c = y + 34.\n3. Substitute y = o + 2 to c, which gives c = o + 36.\n4. Substitute o = k + 19 to c, which gives c = k + 55.\n5. Substitute k = e + 6 to c, which gives c = e + 61.\n6. Substitute e = 6 to c, which gives c = 67.\n\nThus, the final answer is c = \\boxed{67}.",
"index": 19696,
"question": "Suppose a collection of variables is related by the following definitions: v = w + 12; j = g + 12; o = k + 19; p = v + 14; q = h + 7; g = y + 15; s = q + 7; h = e + 20; w = s + 15; c = j + 7; e = 6; y = o + 2; k = e + 6. Given that e = 6, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 4", "s": "q + 14", "m": "s + 8", "h": "m + 14", "x": "h + 2", "j": "x + 13", "l": "o + 9", "f": "l + 8", "t": "f + 18", "p": "t + 16", "n": "p + 11", "b": "n + 9", "o": 4}, "premises": {"o": 4}, "target": "j"}, "answer": {"steps": [["x", "h + 2", "h + 15"], ["h", "m + 14", "m + 29"], ["m", "s + 8", "s + 37"], ["s", "q + 14", "q + 51"], ["q", "o + 4", "o + 55"], ["o", 4, "59"]], "target_var_name": "j", "target_value": 59, "value_dict": {"o": 4}, "is_reverse": true}} | 19,697 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = o + 4; h = m + 14; s = q + 14; o = 4; j = x + 13; x = h + 2; b = n + 9; f = l + 8; m = s + 8; p = t + 16; t = f + 18; n = p + 11; l = o + 9. Given that o = 4, 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 x = h + 2 to j, which gives j = h + 15.\n2. Substitute h = m + 14 to j, which gives j = m + 29.\n3. Substitute m = s + 8 to j, which gives j = s + 37.\n4. Substitute s = q + 14 to j, which gives j = q + 51.\n5. Substitute q = o + 4 to j, which gives j = o + 55.\n6. Substitute o = 4 to j, which gives j = 59.\n\nThus, the final answer is j = \\boxed{59}.",
"index": 19697,
"question": "Suppose a collection of variables is related by the following definitions: q = o + 4; h = m + 14; s = q + 14; o = 4; j = x + 13; x = h + 2; b = n + 9; f = l + 8; m = s + 8; p = t + 16; t = f + 18; n = p + 11; l = o + 9. Given that o = 4, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "b + 10", "v": "d + 18", "j": "v + 12", "l": "j + 10", "t": "l + 11", "m": "t + 10", "n": "b + 6", "f": "n + 6", "x": "f + 16", "w": "x + 16", "q": "w + 19", "e": "q + 4", "b": 4}, "premises": {"b": 4}, "target": "m"}, "answer": {"steps": [["t", "l + 11", "l + 21"], ["l", "j + 10", "j + 31"], ["j", "v + 12", "v + 43"], ["v", "d + 18", "d + 61"], ["d", "b + 10", "b + 71"], ["b", 4, "75"]], "target_var_name": "m", "target_value": 75, "value_dict": {"b": 4}, "is_reverse": true}} | 19,698 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = n + 6; w = x + 16; q = w + 19; b = 4; e = q + 4; x = f + 16; n = b + 6; m = t + 10; l = j + 10; v = d + 18; t = l + 11; d = b + 10; j = v + 12. If b = 4, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 11 to m, which gives m = l + 21.\n2. Substitute l = j + 10 to m, which gives m = j + 31.\n3. Substitute j = v + 12 to m, which gives m = v + 43.\n4. Substitute v = d + 18 to m, which gives m = d + 61.\n5. Substitute d = b + 10 to m, which gives m = b + 71.\n6. Substitute b = 4 to m, which gives m = 75.\n\nThus, the final answer is m = \\boxed{75}.",
"index": 19698,
"question": "Consider a system of variables where each variable is defined as follows: f = n + 6; w = x + 16; q = w + 19; b = 4; e = q + 4; x = f + 16; n = b + 6; m = t + 10; l = j + 10; v = d + 18; t = l + 11; d = b + 10; j = v + 12. If b = 4, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 12", "l": "q + 19", "c": "l + 13", "m": "c + 9", "w": "m + 17", "r": "w + 18", "z": "o + 4", "x": "z + 9", "a": "x + 2", "f": "a + 11", "s": "f + 6", "k": "s + 5", "o": 2}, "premises": {"o": 2}, "target": "r"}, "answer": {"steps": [["w", "m + 17", "m + 35"], ["m", "c + 9", "c + 44"], ["c", "l + 13", "l + 57"], ["l", "q + 19", "q + 76"], ["q", "o + 12", "o + 88"], ["o", 2, "90"]], "target_var_name": "r", "target_value": 90, "value_dict": {"o": 2}, "is_reverse": true}} | 19,699 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = x + 2; z = o + 4; l = q + 19; w = m + 17; r = w + 18; f = a + 11; c = l + 13; s = f + 6; q = o + 12; m = c + 9; o = 2; k = s + 5; x = z + 9. Given that o = 2, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 17 to r, which gives r = m + 35.\n2. Substitute m = c + 9 to r, which gives r = c + 44.\n3. Substitute c = l + 13 to r, which gives r = l + 57.\n4. Substitute l = q + 19 to r, which gives r = q + 76.\n5. Substitute q = o + 12 to r, which gives r = o + 88.\n6. Substitute o = 2 to r, which gives r = 90.\n\nThus, the final answer is r = \\boxed{90}.",
"index": 19699,
"question": "Suppose a collection of variables is related by the following definitions: a = x + 2; z = o + 4; l = q + 19; w = m + 17; r = w + 18; f = a + 11; c = l + 13; s = f + 6; q = o + 12; m = c + 9; o = 2; k = s + 5; x = z + 9. Given that o = 2, find the value of r.",
"split": "train"
} |
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