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": {"i": "u + 4", "s": "i + 7", "p": "s + 15", "x": "p + 15", "m": "x + 3", "o": "m + 1", "y": "u + 17", "v": "y + 9", "g": "v + 9", "b": "g + 12", "n": "b + 11", "z": "n + 2", "u": 17}, "premises": {"u": 17}, "target": "o"}, "answer": {"steps": [["m", "x + 3", "x + 4"], ["x", "p + 15", "p + 19"], ["p", "s + 15", "s + 34"], ["s", "i + 7", "i + 41"], ["i", "u + 4", "u + 45"], ["u", 17, "62"]], "target_var_name": "o", "target_value": 62, "value_dict": {"u": 17}, "is_reverse": true}} | 17,000 | 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 + 4; n = b + 11; y = u + 17; m = x + 3; o = m + 1; v = y + 9; b = g + 12; x = p + 15; p = s + 15; s = i + 7; u = 17; z = n + 2; g = v + 9. If u = 17, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 3 to o, which gives o = x + 4.\n2. Substitute x = p + 15 to o, which gives o = p + 19.\n3. Substitute p = s + 15 to o, which gives o = s + 34.\n4. Substitute s = i + 7 to o, which gives o = i + 41.\n5. Substitute i = u + 4 to o, which gives o = u + 45.\n6. Substitute u = 17 to o, which gives o = 62.\n\nThus, the final answer is o = \\boxed{62}.",
"index": 17000,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = u + 4; n = b + 11; y = u + 17; m = x + 3; o = m + 1; v = y + 9; b = g + 12; x = p + 15; p = s + 15; s = i + 7; u = 17; z = n + 2; g = v + 9. If u = 17, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 18", "w": "q + 15", "h": "w + 16", "c": "h + 20", "r": "c + 17", "g": "r + 19", "p": "i + 5", "s": "p + 2", "j": "s + 15", "x": "j + 2", "l": "x + 6", "z": "l + 2", "i": 12}, "premises": {"i": 12}, "target": "g"}, "answer": {"steps": [["r", "c + 17", "c + 36"], ["c", "h + 20", "h + 56"], ["h", "w + 16", "w + 72"], ["w", "q + 15", "q + 87"], ["q", "i + 18", "i + 105"], ["i", 12, "117"]], "target_var_name": "g", "target_value": 117, "value_dict": {"i": 12}, "is_reverse": true}} | 17,001 | 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 = h + 20; w = q + 15; h = w + 16; p = i + 5; i = 12; z = l + 2; j = s + 15; s = p + 2; l = x + 6; q = i + 18; g = r + 19; x = j + 2; r = c + 17. If i = 12, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 117,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 17 to g, which gives g = c + 36.\n2. Substitute c = h + 20 to g, which gives g = h + 56.\n3. Substitute h = w + 16 to g, which gives g = w + 72.\n4. Substitute w = q + 15 to g, which gives g = q + 87.\n5. Substitute q = i + 18 to g, which gives g = i + 105.\n6. Substitute i = 12 to g, which gives g = 117.\n\nThus, the final answer is g = \\boxed{117}.",
"index": 17001,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = h + 20; w = q + 15; h = w + 16; p = i + 5; i = 12; z = l + 2; j = s + 15; s = p + 2; l = x + 6; q = i + 18; g = r + 19; x = j + 2; r = c + 17. If i = 12, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 6", "q": "m + 18", "j": "q + 15", "k": "j + 11", "r": "k + 19", "o": "r + 13", "i": "b + 1", "u": "i + 13", "e": "u + 12", "v": "e + 8", "c": "v + 4", "y": "c + 15", "b": 16}, "premises": {"b": 16}, "target": "o"}, "answer": {"steps": [["r", "k + 19", "k + 32"], ["k", "j + 11", "j + 43"], ["j", "q + 15", "q + 58"], ["q", "m + 18", "m + 76"], ["m", "b + 6", "b + 82"], ["b", 16, "98"]], "target_var_name": "o", "target_value": 98, "value_dict": {"b": 16}, "is_reverse": true}} | 17,002 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = 16; y = c + 15; e = u + 12; k = j + 11; v = e + 8; m = b + 6; i = b + 1; u = i + 13; r = k + 19; q = m + 18; j = q + 15; c = v + 4; o = r + 13. Given that b = 16, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 19 to o, which gives o = k + 32.\n2. Substitute k = j + 11 to o, which gives o = j + 43.\n3. Substitute j = q + 15 to o, which gives o = q + 58.\n4. Substitute q = m + 18 to o, which gives o = m + 76.\n5. Substitute m = b + 6 to o, which gives o = b + 82.\n6. Substitute b = 16 to o, which gives o = 98.\n\nThus, the final answer is o = \\boxed{98}.",
"index": 17002,
"question": "Suppose a collection of variables is related by the following definitions: b = 16; y = c + 15; e = u + 12; k = j + 11; v = e + 8; m = b + 6; i = b + 1; u = i + 13; r = k + 19; q = m + 18; j = q + 15; c = v + 4; o = r + 13. Given that b = 16, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 3", "f": "e + 15", "h": "f + 4", "c": "h + 3", "s": "c + 13", "a": "s + 15", "g": "p + 13", "d": "g + 20", "j": "d + 9", "y": "j + 12", "i": "y + 18", "b": "i + 2", "p": 5}, "premises": {"p": 5}, "target": "a"}, "answer": {"steps": [["s", "c + 13", "c + 28"], ["c", "h + 3", "h + 31"], ["h", "f + 4", "f + 35"], ["f", "e + 15", "e + 50"], ["e", "p + 3", "p + 53"], ["p", 5, "58"]], "target_var_name": "a", "target_value": 58, "value_dict": {"p": 5}, "is_reverse": true}} | 17,003 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 3; j = d + 9; b = i + 2; f = e + 15; c = h + 3; i = y + 18; g = p + 13; p = 5; y = j + 12; s = c + 13; d = g + 20; a = s + 15; h = f + 4. If p = 5, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 13 to a, which gives a = c + 28.\n2. Substitute c = h + 3 to a, which gives a = h + 31.\n3. Substitute h = f + 4 to a, which gives a = f + 35.\n4. Substitute f = e + 15 to a, which gives a = e + 50.\n5. Substitute e = p + 3 to a, which gives a = p + 53.\n6. Substitute p = 5 to a, which gives a = 58.\n\nThus, the final answer is a = \\boxed{58}.",
"index": 17003,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 3; j = d + 9; b = i + 2; f = e + 15; c = h + 3; i = y + 18; g = p + 13; p = 5; y = j + 12; s = c + 13; d = g + 20; a = s + 15; h = f + 4. If p = 5, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 17", "v": "i + 11", "a": "v + 5", "p": "a + 7", "q": "p + 15", "l": "q + 12", "x": "y + 17", "g": "x + 20", "e": "g + 11", "t": "e + 4", "r": "t + 11", "d": "r + 7", "y": 7}, "premises": {"y": 7}, "target": "l"}, "answer": {"steps": [["q", "p + 15", "p + 27"], ["p", "a + 7", "a + 34"], ["a", "v + 5", "v + 39"], ["v", "i + 11", "i + 50"], ["i", "y + 17", "y + 67"], ["y", 7, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"y": 7}, "is_reverse": true}} | 17,004 | 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 = v + 5; t = e + 4; q = p + 15; e = g + 11; v = i + 11; r = t + 11; g = x + 20; l = q + 12; y = 7; d = r + 7; x = y + 17; i = y + 17; p = a + 7. If y = 7, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 15 to l, which gives l = p + 27.\n2. Substitute p = a + 7 to l, which gives l = a + 34.\n3. Substitute a = v + 5 to l, which gives l = v + 39.\n4. Substitute v = i + 11 to l, which gives l = i + 50.\n5. Substitute i = y + 17 to l, which gives l = y + 67.\n6. Substitute y = 7 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 17004,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = v + 5; t = e + 4; q = p + 15; e = g + 11; v = i + 11; r = t + 11; g = x + 20; l = q + 12; y = 7; d = r + 7; x = y + 17; i = y + 17; p = a + 7. If y = 7, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 5", "h": "j + 3", "c": "h + 5", "r": "c + 7", "k": "r + 7", "o": "k + 19", "b": "i + 16", "d": "b + 10", "v": "d + 14", "u": "v + 1", "w": "u + 9", "s": "w + 5", "i": 20}, "premises": {"i": 20}, "target": "o"}, "answer": {"steps": [["k", "r + 7", "r + 26"], ["r", "c + 7", "c + 33"], ["c", "h + 5", "h + 38"], ["h", "j + 3", "j + 41"], ["j", "i + 5", "i + 46"], ["i", 20, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"i": 20}, "is_reverse": true}} | 17,005 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = c + 7; v = d + 14; h = j + 3; b = i + 16; c = h + 5; o = k + 19; s = w + 5; k = r + 7; j = i + 5; u = v + 1; w = u + 9; i = 20; d = b + 10. If i = 20, determine 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 k = r + 7 to o, which gives o = r + 26.\n2. Substitute r = c + 7 to o, which gives o = c + 33.\n3. Substitute c = h + 5 to o, which gives o = h + 38.\n4. Substitute h = j + 3 to o, which gives o = j + 41.\n5. Substitute j = i + 5 to o, which gives o = i + 46.\n6. Substitute i = 20 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 17005,
"question": "Consider a system of variables where each variable is defined as follows: r = c + 7; v = d + 14; h = j + 3; b = i + 16; c = h + 5; o = k + 19; s = w + 5; k = r + 7; j = i + 5; u = v + 1; w = u + 9; i = 20; d = b + 10. If i = 20, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 6", "v": "x + 18", "j": "v + 12", "q": "j + 11", "w": "q + 7", "d": "w + 8", "n": "o + 13", "a": "n + 8", "e": "a + 5", "m": "e + 3", "g": "m + 12", "h": "g + 12", "o": 18}, "premises": {"o": 18}, "target": "d"}, "answer": {"steps": [["w", "q + 7", "q + 15"], ["q", "j + 11", "j + 26"], ["j", "v + 12", "v + 38"], ["v", "x + 18", "x + 56"], ["x", "o + 6", "o + 62"], ["o", 18, "80"]], "target_var_name": "d", "target_value": 80, "value_dict": {"o": 18}, "is_reverse": true}} | 17,006 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = m + 12; q = j + 11; m = e + 3; x = o + 6; w = q + 7; d = w + 8; j = v + 12; o = 18; a = n + 8; v = x + 18; n = o + 13; e = a + 5; h = g + 12. If o = 18, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 7 to d, which gives d = q + 15.\n2. Substitute q = j + 11 to d, which gives d = j + 26.\n3. Substitute j = v + 12 to d, which gives d = v + 38.\n4. Substitute v = x + 18 to d, which gives d = x + 56.\n5. Substitute x = o + 6 to d, which gives d = o + 62.\n6. Substitute o = 18 to d, which gives d = 80.\n\nThus, the final answer is d = \\boxed{80}.",
"index": 17006,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = m + 12; q = j + 11; m = e + 3; x = o + 6; w = q + 7; d = w + 8; j = v + 12; o = 18; a = n + 8; v = x + 18; n = o + 13; e = a + 5; h = g + 12. If o = 18, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"i": "f + 3", "h": "i + 13", "l": "h + 19", "d": "l + 11", "x": "d + 17", "u": "x + 7", "g": "f + 2", "s": "g + 3", "v": "s + 11", "t": "v + 17", "r": "t + 11", "q": "r + 16", "f": 16}, "premises": {"f": 16}, "target": "u"}, "answer": {"steps": [["x", "d + 17", "d + 24"], ["d", "l + 11", "l + 35"], ["l", "h + 19", "h + 54"], ["h", "i + 13", "i + 67"], ["i", "f + 3", "f + 70"], ["f", 16, "86"]], "target_var_name": "u", "target_value": 86, "value_dict": {"f": 16}, "is_reverse": true}} | 17,007 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = r + 16; l = h + 19; h = i + 13; x = d + 17; u = x + 7; f = 16; d = l + 11; t = v + 17; r = t + 11; i = f + 3; v = s + 11; s = g + 3; g = f + 2. If f = 16, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 17 to u, which gives u = d + 24.\n2. Substitute d = l + 11 to u, which gives u = l + 35.\n3. Substitute l = h + 19 to u, which gives u = h + 54.\n4. Substitute h = i + 13 to u, which gives u = i + 67.\n5. Substitute i = f + 3 to u, which gives u = f + 70.\n6. Substitute f = 16 to u, which gives u = 86.\n\nThus, the final answer is u = \\boxed{86}.",
"index": 17007,
"question": "Consider a system of variables where each variable is defined as follows: q = r + 16; l = h + 19; h = i + 13; x = d + 17; u = x + 7; f = 16; d = l + 11; t = v + 17; r = t + 11; i = f + 3; v = s + 11; s = g + 3; g = f + 2. If f = 16, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 18", "l": "i + 10", "b": "l + 3", "s": "b + 5", "o": "s + 9", "e": "o + 14", "f": "n + 4", "v": "f + 18", "m": "v + 2", "j": "m + 17", "k": "j + 16", "a": "k + 16", "n": 19}, "premises": {"n": 19}, "target": "e"}, "answer": {"steps": [["o", "s + 9", "s + 23"], ["s", "b + 5", "b + 28"], ["b", "l + 3", "l + 31"], ["l", "i + 10", "i + 41"], ["i", "n + 18", "n + 59"], ["n", 19, "78"]], "target_var_name": "e", "target_value": 78, "value_dict": {"n": 19}, "is_reverse": true}} | 17,008 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = 19; m = v + 2; l = i + 10; i = n + 18; b = l + 3; v = f + 18; j = m + 17; f = n + 4; s = b + 5; a = k + 16; e = o + 14; k = j + 16; o = s + 9. If n = 19, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 9 to e, which gives e = s + 23.\n2. Substitute s = b + 5 to e, which gives e = b + 28.\n3. Substitute b = l + 3 to e, which gives e = l + 31.\n4. Substitute l = i + 10 to e, which gives e = i + 41.\n5. Substitute i = n + 18 to e, which gives e = n + 59.\n6. Substitute n = 19 to e, which gives e = 78.\n\nThus, the final answer is e = \\boxed{78}.",
"index": 17008,
"question": "Consider a system of variables where each variable is defined as follows: n = 19; m = v + 2; l = i + 10; i = n + 18; b = l + 3; v = f + 18; j = m + 17; f = n + 4; s = b + 5; a = k + 16; e = o + 14; k = j + 16; o = s + 9. If n = 19, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 13", "m": "f + 18", "b": "m + 12", "z": "b + 3", "d": "z + 3", "x": "d + 13", "k": "g + 16", "q": "k + 9", "t": "q + 2", "y": "t + 11", "u": "y + 4", "l": "u + 5", "g": 1}, "premises": {"g": 1}, "target": "x"}, "answer": {"steps": [["d", "z + 3", "z + 16"], ["z", "b + 3", "b + 19"], ["b", "m + 12", "m + 31"], ["m", "f + 18", "f + 49"], ["f", "g + 13", "g + 62"], ["g", 1, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"g": 1}, "is_reverse": true}} | 17,009 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = 1; u = y + 4; f = g + 13; z = b + 3; m = f + 18; k = g + 16; q = k + 9; d = z + 3; y = t + 11; x = d + 13; t = q + 2; b = m + 12; l = u + 5. If g = 1, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 3 to x, which gives x = z + 16.\n2. Substitute z = b + 3 to x, which gives x = b + 19.\n3. Substitute b = m + 12 to x, which gives x = m + 31.\n4. Substitute m = f + 18 to x, which gives x = f + 49.\n5. Substitute f = g + 13 to x, which gives x = g + 62.\n6. Substitute g = 1 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 17009,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 1; u = y + 4; f = g + 13; z = b + 3; m = f + 18; k = g + 16; q = k + 9; d = z + 3; y = t + 11; x = d + 13; t = q + 2; b = m + 12; l = u + 5. If g = 1, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 18", "w": "b + 9", "r": "w + 3", "p": "r + 16", "m": "p + 19", "e": "m + 14", "z": "d + 19", "i": "z + 12", "n": "i + 6", "v": "n + 9", "f": "v + 6", "k": "f + 17", "d": 8}, "premises": {"d": 8}, "target": "e"}, "answer": {"steps": [["m", "p + 19", "p + 33"], ["p", "r + 16", "r + 49"], ["r", "w + 3", "w + 52"], ["w", "b + 9", "b + 61"], ["b", "d + 18", "d + 79"], ["d", 8, "87"]], "target_var_name": "e", "target_value": 87, "value_dict": {"d": 8}, "is_reverse": true}} | 17,010 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = z + 12; v = n + 9; z = d + 19; k = f + 17; f = v + 6; p = r + 16; w = b + 9; e = m + 14; m = p + 19; r = w + 3; n = i + 6; d = 8; b = d + 18. Given that d = 8, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 19 to e, which gives e = p + 33.\n2. Substitute p = r + 16 to e, which gives e = r + 49.\n3. Substitute r = w + 3 to e, which gives e = w + 52.\n4. Substitute w = b + 9 to e, which gives e = b + 61.\n5. Substitute b = d + 18 to e, which gives e = d + 79.\n6. Substitute d = 8 to e, which gives e = 87.\n\nThus, the final answer is e = \\boxed{87}.",
"index": 17010,
"question": "Suppose a collection of variables is related by the following definitions: i = z + 12; v = n + 9; z = d + 19; k = f + 17; f = v + 6; p = r + 16; w = b + 9; e = m + 14; m = p + 19; r = w + 3; n = i + 6; d = 8; b = d + 18. Given that d = 8, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 10", "p": "e + 19", "n": "p + 12", "k": "n + 8", "a": "k + 16", "s": "a + 9", "q": "u + 12", "g": "q + 8", "c": "g + 13", "w": "c + 17", "d": "w + 19", "v": "d + 3", "u": 1}, "premises": {"u": 1}, "target": "s"}, "answer": {"steps": [["a", "k + 16", "k + 25"], ["k", "n + 8", "n + 33"], ["n", "p + 12", "p + 45"], ["p", "e + 19", "e + 64"], ["e", "u + 10", "u + 74"], ["u", 1, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"u": 1}, "is_reverse": true}} | 17,011 | 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 = d + 3; a = k + 16; s = a + 9; n = p + 12; w = c + 17; d = w + 19; q = u + 12; k = n + 8; c = g + 13; e = u + 10; p = e + 19; g = q + 8; u = 1. If u = 1, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 16 to s, which gives s = k + 25.\n2. Substitute k = n + 8 to s, which gives s = n + 33.\n3. Substitute n = p + 12 to s, which gives s = p + 45.\n4. Substitute p = e + 19 to s, which gives s = e + 64.\n5. Substitute e = u + 10 to s, which gives s = u + 74.\n6. Substitute u = 1 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 17011,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 3; a = k + 16; s = a + 9; n = p + 12; w = c + 17; d = w + 19; q = u + 12; k = n + 8; c = g + 13; e = u + 10; p = e + 19; g = q + 8; u = 1. If u = 1, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 8", "o": "e + 20", "d": "o + 5", "z": "d + 18", "x": "z + 6", "b": "x + 16", "u": "i + 15", "j": "u + 2", "h": "j + 4", "g": "h + 9", "l": "g + 12", "f": "l + 7", "i": 19}, "premises": {"i": 19}, "target": "b"}, "answer": {"steps": [["x", "z + 6", "z + 22"], ["z", "d + 18", "d + 40"], ["d", "o + 5", "o + 45"], ["o", "e + 20", "e + 65"], ["e", "i + 8", "i + 73"], ["i", 19, "92"]], "target_var_name": "b", "target_value": 92, "value_dict": {"i": 19}, "is_reverse": true}} | 17,012 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = i + 15; e = i + 8; i = 19; o = e + 20; l = g + 12; d = o + 5; j = u + 2; x = z + 6; f = l + 7; z = d + 18; h = j + 4; g = h + 9; b = x + 16. Given that i = 19, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 6 to b, which gives b = z + 22.\n2. Substitute z = d + 18 to b, which gives b = d + 40.\n3. Substitute d = o + 5 to b, which gives b = o + 45.\n4. Substitute o = e + 20 to b, which gives b = e + 65.\n5. Substitute e = i + 8 to b, which gives b = i + 73.\n6. Substitute i = 19 to b, which gives b = 92.\n\nThus, the final answer is b = \\boxed{92}.",
"index": 17012,
"question": "Suppose a collection of variables is related by the following definitions: u = i + 15; e = i + 8; i = 19; o = e + 20; l = g + 12; d = o + 5; j = u + 2; x = z + 6; f = l + 7; z = d + 18; h = j + 4; g = h + 9; b = x + 16. Given that i = 19, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"b": "f + 4", "s": "b + 13", "n": "s + 20", "t": "n + 14", "i": "t + 8", "w": "i + 6", "m": "f + 18", "d": "m + 9", "z": "d + 14", "q": "z + 18", "h": "q + 20", "l": "h + 4", "f": 19}, "premises": {"f": 19}, "target": "w"}, "answer": {"steps": [["i", "t + 8", "t + 14"], ["t", "n + 14", "n + 28"], ["n", "s + 20", "s + 48"], ["s", "b + 13", "b + 61"], ["b", "f + 4", "f + 65"], ["f", 19, "84"]], "target_var_name": "w", "target_value": 84, "value_dict": {"f": 19}, "is_reverse": true}} | 17,013 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 4; q = z + 18; s = b + 13; z = d + 14; w = i + 6; h = q + 20; m = f + 18; i = t + 8; l = h + 4; n = s + 20; f = 19; t = n + 14; d = m + 9. Given that f = 19, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 8 to w, which gives w = t + 14.\n2. Substitute t = n + 14 to w, which gives w = n + 28.\n3. Substitute n = s + 20 to w, which gives w = s + 48.\n4. Substitute s = b + 13 to w, which gives w = b + 61.\n5. Substitute b = f + 4 to w, which gives w = f + 65.\n6. Substitute f = 19 to w, which gives w = 84.\n\nThus, the final answer is w = \\boxed{84}.",
"index": 17013,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 4; q = z + 18; s = b + 13; z = d + 14; w = i + 6; h = q + 20; m = f + 18; i = t + 8; l = h + 4; n = s + 20; f = 19; t = n + 14; d = m + 9. Given that f = 19, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 20", "v": "d + 6", "p": "v + 6", "y": "p + 16", "w": "y + 9", "a": "w + 1", "z": "s + 4", "h": "z + 20", "k": "h + 10", "i": "k + 19", "j": "i + 11", "q": "j + 17", "s": 7}, "premises": {"s": 7}, "target": "a"}, "answer": {"steps": [["w", "y + 9", "y + 10"], ["y", "p + 16", "p + 26"], ["p", "v + 6", "v + 32"], ["v", "d + 6", "d + 38"], ["d", "s + 20", "s + 58"], ["s", 7, "65"]], "target_var_name": "a", "target_value": 65, "value_dict": {"s": 7}, "is_reverse": true}} | 17,014 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = z + 20; s = 7; d = s + 20; i = k + 19; a = w + 1; k = h + 10; q = j + 17; p = v + 6; w = y + 9; j = i + 11; z = s + 4; v = d + 6; y = p + 16. Given that s = 7, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 9 to a, which gives a = y + 10.\n2. Substitute y = p + 16 to a, which gives a = p + 26.\n3. Substitute p = v + 6 to a, which gives a = v + 32.\n4. Substitute v = d + 6 to a, which gives a = d + 38.\n5. Substitute d = s + 20 to a, which gives a = s + 58.\n6. Substitute s = 7 to a, which gives a = 65.\n\nThus, the final answer is a = \\boxed{65}.",
"index": 17014,
"question": "Suppose a collection of variables is related by the following definitions: h = z + 20; s = 7; d = s + 20; i = k + 19; a = w + 1; k = h + 10; q = j + 17; p = v + 6; w = y + 9; j = i + 11; z = s + 4; v = d + 6; y = p + 16. Given that s = 7, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 16", "h": "t + 10", "m": "h + 18", "d": "m + 18", "f": "d + 15", "b": "f + 5", "x": "l + 3", "k": "x + 11", "s": "k + 5", "p": "s + 9", "i": "p + 14", "n": "i + 7", "l": 1}, "premises": {"l": 1}, "target": "b"}, "answer": {"steps": [["f", "d + 15", "d + 20"], ["d", "m + 18", "m + 38"], ["m", "h + 18", "h + 56"], ["h", "t + 10", "t + 66"], ["t", "l + 16", "l + 82"], ["l", 1, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"l": 1}, "is_reverse": true}} | 17,015 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = l + 3; m = h + 18; p = s + 9; s = k + 5; l = 1; t = l + 16; k = x + 11; n = i + 7; d = m + 18; i = p + 14; b = f + 5; h = t + 10; f = d + 15. If l = 1, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 15 to b, which gives b = d + 20.\n2. Substitute d = m + 18 to b, which gives b = m + 38.\n3. Substitute m = h + 18 to b, which gives b = h + 56.\n4. Substitute h = t + 10 to b, which gives b = t + 66.\n5. Substitute t = l + 16 to b, which gives b = l + 82.\n6. Substitute l = 1 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 17015,
"question": "Consider a system of variables where each variable is defined as follows: x = l + 3; m = h + 18; p = s + 9; s = k + 5; l = 1; t = l + 16; k = x + 11; n = i + 7; d = m + 18; i = p + 14; b = f + 5; h = t + 10; f = d + 15. If l = 1, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 3", "u": "p + 13", "n": "u + 20", "f": "n + 8", "z": "f + 17", "o": "z + 1", "k": "m + 6", "i": "k + 7", "d": "i + 14", "c": "d + 1", "q": "c + 13", "r": "q + 8", "m": 1}, "premises": {"m": 1}, "target": "o"}, "answer": {"steps": [["z", "f + 17", "f + 18"], ["f", "n + 8", "n + 26"], ["n", "u + 20", "u + 46"], ["u", "p + 13", "p + 59"], ["p", "m + 3", "m + 62"], ["m", 1, "63"]], "target_var_name": "o", "target_value": 63, "value_dict": {"m": 1}, "is_reverse": true}} | 17,016 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = n + 8; q = c + 13; c = d + 1; m = 1; r = q + 8; z = f + 17; d = i + 14; k = m + 6; u = p + 13; p = m + 3; n = u + 20; i = k + 7; o = z + 1. Given that m = 1, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 17 to o, which gives o = f + 18.\n2. Substitute f = n + 8 to o, which gives o = n + 26.\n3. Substitute n = u + 20 to o, which gives o = u + 46.\n4. Substitute u = p + 13 to o, which gives o = p + 59.\n5. Substitute p = m + 3 to o, which gives o = m + 62.\n6. Substitute m = 1 to o, which gives o = 63.\n\nThus, the final answer is o = \\boxed{63}.",
"index": 17016,
"question": "Suppose a collection of variables is related by the following definitions: f = n + 8; q = c + 13; c = d + 1; m = 1; r = q + 8; z = f + 17; d = i + 14; k = m + 6; u = p + 13; p = m + 3; n = u + 20; i = k + 7; o = z + 1. Given that m = 1, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 12", "d": "m + 6", "u": "d + 8", "t": "u + 5", "o": "t + 6", "a": "o + 6", "r": "c + 2", "k": "r + 8", "x": "k + 4", "i": "x + 19", "n": "i + 17", "p": "n + 1", "c": 14}, "premises": {"c": 14}, "target": "a"}, "answer": {"steps": [["o", "t + 6", "t + 12"], ["t", "u + 5", "u + 17"], ["u", "d + 8", "d + 25"], ["d", "m + 6", "m + 31"], ["m", "c + 12", "c + 43"], ["c", 14, "57"]], "target_var_name": "a", "target_value": 57, "value_dict": {"c": 14}, "is_reverse": true}} | 17,017 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = 14; x = k + 4; d = m + 6; r = c + 2; u = d + 8; p = n + 1; k = r + 8; n = i + 17; a = o + 6; m = c + 12; o = t + 6; i = x + 19; t = u + 5. If c = 14, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 6 to a, which gives a = t + 12.\n2. Substitute t = u + 5 to a, which gives a = u + 17.\n3. Substitute u = d + 8 to a, which gives a = d + 25.\n4. Substitute d = m + 6 to a, which gives a = m + 31.\n5. Substitute m = c + 12 to a, which gives a = c + 43.\n6. Substitute c = 14 to a, which gives a = 57.\n\nThus, the final answer is a = \\boxed{57}.",
"index": 17017,
"question": "Consider a system of variables where each variable is defined as follows: c = 14; x = k + 4; d = m + 6; r = c + 2; u = d + 8; p = n + 1; k = r + 8; n = i + 17; a = o + 6; m = c + 12; o = t + 6; i = x + 19; t = u + 5. If c = 14, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"c": "j + 10", "q": "c + 7", "l": "q + 5", "i": "l + 20", "a": "i + 20", "n": "a + 4", "f": "j + 5", "u": "f + 12", "t": "u + 1", "e": "t + 15", "h": "e + 11", "o": "h + 12", "j": 12}, "premises": {"j": 12}, "target": "n"}, "answer": {"steps": [["a", "i + 20", "i + 24"], ["i", "l + 20", "l + 44"], ["l", "q + 5", "q + 49"], ["q", "c + 7", "c + 56"], ["c", "j + 10", "j + 66"], ["j", 12, "78"]], "target_var_name": "n", "target_value": 78, "value_dict": {"j": 12}, "is_reverse": true}} | 17,018 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = u + 1; c = j + 10; l = q + 5; j = 12; u = f + 12; q = c + 7; n = a + 4; a = i + 20; o = h + 12; h = e + 11; f = j + 5; i = l + 20; e = t + 15. If j = 12, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 20 to n, which gives n = i + 24.\n2. Substitute i = l + 20 to n, which gives n = l + 44.\n3. Substitute l = q + 5 to n, which gives n = q + 49.\n4. Substitute q = c + 7 to n, which gives n = c + 56.\n5. Substitute c = j + 10 to n, which gives n = j + 66.\n6. Substitute j = 12 to n, which gives n = 78.\n\nThus, the final answer is n = \\boxed{78}.",
"index": 17018,
"question": "Consider a system of variables where each variable is defined as follows: t = u + 1; c = j + 10; l = q + 5; j = 12; u = f + 12; q = c + 7; n = a + 4; a = i + 20; o = h + 12; h = e + 11; f = j + 5; i = l + 20; e = t + 15. If j = 12, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"x": "h + 7", "e": "x + 16", "a": "e + 12", "o": "a + 20", "u": "o + 18", "m": "u + 18", "z": "h + 19", "v": "z + 6", "n": "v + 20", "f": "n + 3", "j": "f + 12", "y": "j + 11", "h": 19}, "premises": {"h": 19}, "target": "m"}, "answer": {"steps": [["u", "o + 18", "o + 36"], ["o", "a + 20", "a + 56"], ["a", "e + 12", "e + 68"], ["e", "x + 16", "x + 84"], ["x", "h + 7", "h + 91"], ["h", 19, "110"]], "target_var_name": "m", "target_value": 110, "value_dict": {"h": 19}, "is_reverse": true}} | 17,019 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = h + 7; m = u + 18; v = z + 6; o = a + 20; j = f + 12; y = j + 11; h = 19; n = v + 20; u = o + 18; e = x + 16; a = e + 12; z = h + 19; f = n + 3. Given that h = 19, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 18 to m, which gives m = o + 36.\n2. Substitute o = a + 20 to m, which gives m = a + 56.\n3. Substitute a = e + 12 to m, which gives m = e + 68.\n4. Substitute e = x + 16 to m, which gives m = x + 84.\n5. Substitute x = h + 7 to m, which gives m = h + 91.\n6. Substitute h = 19 to m, which gives m = 110.\n\nThus, the final answer is m = \\boxed{110}.",
"index": 17019,
"question": "Suppose a collection of variables is related by the following definitions: x = h + 7; m = u + 18; v = z + 6; o = a + 20; j = f + 12; y = j + 11; h = 19; n = v + 20; u = o + 18; e = x + 16; a = e + 12; z = h + 19; f = n + 3. Given that h = 19, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "p + 13", "u": "q + 10", "z": "u + 10", "l": "z + 2", "d": "l + 16", "h": "d + 4", "m": "p + 10", "o": "m + 8", "n": "o + 12", "r": "n + 11", "x": "r + 5", "t": "x + 6", "p": 8}, "premises": {"p": 8}, "target": "h"}, "answer": {"steps": [["d", "l + 16", "l + 20"], ["l", "z + 2", "z + 22"], ["z", "u + 10", "u + 32"], ["u", "q + 10", "q + 42"], ["q", "p + 13", "p + 55"], ["p", 8, "63"]], "target_var_name": "h", "target_value": 63, "value_dict": {"p": 8}, "is_reverse": true}} | 17,020 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = u + 10; o = m + 8; m = p + 10; t = x + 6; d = l + 16; x = r + 5; n = o + 12; r = n + 11; l = z + 2; q = p + 13; u = q + 10; h = d + 4; p = 8. Given that p = 8, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 16 to h, which gives h = l + 20.\n2. Substitute l = z + 2 to h, which gives h = z + 22.\n3. Substitute z = u + 10 to h, which gives h = u + 32.\n4. Substitute u = q + 10 to h, which gives h = q + 42.\n5. Substitute q = p + 13 to h, which gives h = p + 55.\n6. Substitute p = 8 to h, which gives h = 63.\n\nThus, the final answer is h = \\boxed{63}.",
"index": 17020,
"question": "Suppose a collection of variables is related by the following definitions: z = u + 10; o = m + 8; m = p + 10; t = x + 6; d = l + 16; x = r + 5; n = o + 12; r = n + 11; l = z + 2; q = p + 13; u = q + 10; h = d + 4; p = 8. Given that p = 8, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 19", "q": "v + 3", "c": "q + 2", "x": "c + 15", "b": "x + 6", "o": "b + 15", "h": "i + 19", "m": "h + 18", "d": "m + 18", "t": "d + 2", "l": "t + 8", "z": "l + 2", "i": 2}, "premises": {"i": 2}, "target": "o"}, "answer": {"steps": [["b", "x + 6", "x + 21"], ["x", "c + 15", "c + 36"], ["c", "q + 2", "q + 38"], ["q", "v + 3", "v + 41"], ["v", "i + 19", "i + 60"], ["i", 2, "62"]], "target_var_name": "o", "target_value": 62, "value_dict": {"i": 2}, "is_reverse": true}} | 17,021 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = v + 3; z = l + 2; t = d + 2; c = q + 2; v = i + 19; o = b + 15; l = t + 8; i = 2; m = h + 18; b = x + 6; h = i + 19; d = m + 18; x = c + 15. Given that i = 2, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 6 to o, which gives o = x + 21.\n2. Substitute x = c + 15 to o, which gives o = c + 36.\n3. Substitute c = q + 2 to o, which gives o = q + 38.\n4. Substitute q = v + 3 to o, which gives o = v + 41.\n5. Substitute v = i + 19 to o, which gives o = i + 60.\n6. Substitute i = 2 to o, which gives o = 62.\n\nThus, the final answer is o = \\boxed{62}.",
"index": 17021,
"question": "Suppose a collection of variables is related by the following definitions: q = v + 3; z = l + 2; t = d + 2; c = q + 2; v = i + 19; o = b + 15; l = t + 8; i = 2; m = h + 18; b = x + 6; h = i + 19; d = m + 18; x = c + 15. Given that i = 2, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 2", "o": "r + 6", "t": "o + 13", "c": "t + 8", "y": "c + 9", "u": "y + 12", "h": "w + 19", "l": "h + 4", "d": "l + 6", "a": "d + 18", "z": "a + 2", "m": "z + 18", "w": 18}, "premises": {"w": 18}, "target": "u"}, "answer": {"steps": [["y", "c + 9", "c + 21"], ["c", "t + 8", "t + 29"], ["t", "o + 13", "o + 42"], ["o", "r + 6", "r + 48"], ["r", "w + 2", "w + 50"], ["w", 18, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"w": 18}, "is_reverse": true}} | 17,022 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = y + 12; o = r + 6; a = d + 18; w = 18; d = l + 6; c = t + 8; r = w + 2; y = c + 9; h = w + 19; l = h + 4; t = o + 13; z = a + 2; m = z + 18. If w = 18, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 9 to u, which gives u = c + 21.\n2. Substitute c = t + 8 to u, which gives u = t + 29.\n3. Substitute t = o + 13 to u, which gives u = o + 42.\n4. Substitute o = r + 6 to u, which gives u = r + 48.\n5. Substitute r = w + 2 to u, which gives u = w + 50.\n6. Substitute w = 18 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 17022,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = y + 12; o = r + 6; a = d + 18; w = 18; d = l + 6; c = t + 8; r = w + 2; y = c + 9; h = w + 19; l = h + 4; t = o + 13; z = a + 2; m = z + 18. If w = 18, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"i": "k + 4", "q": "i + 16", "s": "q + 16", "e": "s + 20", "r": "e + 12", "a": "r + 11", "p": "k + 20", "b": "p + 7", "n": "b + 11", "d": "n + 13", "z": "d + 15", "o": "z + 8", "k": 18}, "premises": {"k": 18}, "target": "a"}, "answer": {"steps": [["r", "e + 12", "e + 23"], ["e", "s + 20", "s + 43"], ["s", "q + 16", "q + 59"], ["q", "i + 16", "i + 75"], ["i", "k + 4", "k + 79"], ["k", 18, "97"]], "target_var_name": "a", "target_value": 97, "value_dict": {"k": 18}, "is_reverse": true}} | 17,023 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = k + 20; s = q + 16; r = e + 12; b = p + 7; i = k + 4; n = b + 11; q = i + 16; z = d + 15; d = n + 13; k = 18; a = r + 11; o = z + 8; e = s + 20. Given that k = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 12 to a, which gives a = e + 23.\n2. Substitute e = s + 20 to a, which gives a = s + 43.\n3. Substitute s = q + 16 to a, which gives a = q + 59.\n4. Substitute q = i + 16 to a, which gives a = i + 75.\n5. Substitute i = k + 4 to a, which gives a = k + 79.\n6. Substitute k = 18 to a, which gives a = 97.\n\nThus, the final answer is a = \\boxed{97}.",
"index": 17023,
"question": "Suppose a collection of variables is related by the following definitions: p = k + 20; s = q + 16; r = e + 12; b = p + 7; i = k + 4; n = b + 11; q = i + 16; z = d + 15; d = n + 13; k = 18; a = r + 11; o = z + 8; e = s + 20. Given that k = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 14", "k": "l + 19", "v": "k + 2", "o": "v + 12", "y": "o + 6", "s": "y + 18", "c": "x + 11", "t": "c + 20", "r": "t + 20", "w": "r + 1", "m": "w + 12", "d": "m + 16", "x": 4}, "premises": {"x": 4}, "target": "s"}, "answer": {"steps": [["y", "o + 6", "o + 24"], ["o", "v + 12", "v + 36"], ["v", "k + 2", "k + 38"], ["k", "l + 19", "l + 57"], ["l", "x + 14", "x + 71"], ["x", 4, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"x": 4}, "is_reverse": true}} | 17,024 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 20; v = k + 2; d = m + 16; c = x + 11; k = l + 19; y = o + 6; w = r + 1; m = w + 12; o = v + 12; r = t + 20; l = x + 14; s = y + 18; x = 4. If x = 4, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 6 to s, which gives s = o + 24.\n2. Substitute o = v + 12 to s, which gives s = v + 36.\n3. Substitute v = k + 2 to s, which gives s = k + 38.\n4. Substitute k = l + 19 to s, which gives s = l + 57.\n5. Substitute l = x + 14 to s, which gives s = x + 71.\n6. Substitute x = 4 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 17024,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 20; v = k + 2; d = m + 16; c = x + 11; k = l + 19; y = o + 6; w = r + 1; m = w + 12; o = v + 12; r = t + 20; l = x + 14; s = y + 18; x = 4. If x = 4, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 19", "f": "u + 14", "b": "f + 17", "w": "b + 18", "h": "w + 2", "i": "h + 5", "k": "c + 19", "t": "k + 15", "x": "t + 7", "p": "x + 6", "m": "p + 3", "q": "m + 6", "c": 3}, "premises": {"c": 3}, "target": "i"}, "answer": {"steps": [["h", "w + 2", "w + 7"], ["w", "b + 18", "b + 25"], ["b", "f + 17", "f + 42"], ["f", "u + 14", "u + 56"], ["u", "c + 19", "c + 75"], ["c", 3, "78"]], "target_var_name": "i", "target_value": 78, "value_dict": {"c": 3}, "is_reverse": true}} | 17,025 | 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 = p + 3; b = f + 17; x = t + 7; k = c + 19; h = w + 2; q = m + 6; w = b + 18; u = c + 19; i = h + 5; f = u + 14; p = x + 6; c = 3; t = k + 15. If c = 3, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 2 to i, which gives i = w + 7.\n2. Substitute w = b + 18 to i, which gives i = b + 25.\n3. Substitute b = f + 17 to i, which gives i = f + 42.\n4. Substitute f = u + 14 to i, which gives i = u + 56.\n5. Substitute u = c + 19 to i, which gives i = c + 75.\n6. Substitute c = 3 to i, which gives i = 78.\n\nThus, the final answer is i = \\boxed{78}.",
"index": 17025,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = p + 3; b = f + 17; x = t + 7; k = c + 19; h = w + 2; q = m + 6; w = b + 18; u = c + 19; i = h + 5; f = u + 14; p = x + 6; c = 3; t = k + 15. If c = 3, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"g": "w + 13", "f": "g + 18", "t": "f + 2", "i": "t + 14", "e": "i + 16", "h": "e + 11", "r": "w + 15", "k": "r + 12", "n": "k + 9", "q": "n + 2", "b": "q + 1", "x": "b + 8", "w": 11}, "premises": {"w": 11}, "target": "h"}, "answer": {"steps": [["e", "i + 16", "i + 27"], ["i", "t + 14", "t + 41"], ["t", "f + 2", "f + 43"], ["f", "g + 18", "g + 61"], ["g", "w + 13", "w + 74"], ["w", 11, "85"]], "target_var_name": "h", "target_value": 85, "value_dict": {"w": 11}, "is_reverse": true}} | 17,026 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 14; g = w + 13; e = i + 16; n = k + 9; f = g + 18; w = 11; b = q + 1; x = b + 8; t = f + 2; r = w + 15; q = n + 2; k = r + 12; h = e + 11. If w = 11, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 16 to h, which gives h = i + 27.\n2. Substitute i = t + 14 to h, which gives h = t + 41.\n3. Substitute t = f + 2 to h, which gives h = f + 43.\n4. Substitute f = g + 18 to h, which gives h = g + 61.\n5. Substitute g = w + 13 to h, which gives h = w + 74.\n6. Substitute w = 11 to h, which gives h = 85.\n\nThus, the final answer is h = \\boxed{85}.",
"index": 17026,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 14; g = w + 13; e = i + 16; n = k + 9; f = g + 18; w = 11; b = q + 1; x = b + 8; t = f + 2; r = w + 15; q = n + 2; k = r + 12; h = e + 11. If w = 11, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 4", "a": "f + 17", "v": "a + 13", "i": "v + 12", "q": "i + 2", "n": "q + 8", "r": "k + 18", "g": "r + 4", "p": "g + 15", "y": "p + 2", "j": "y + 13", "c": "j + 3", "k": 13}, "premises": {"k": 13}, "target": "n"}, "answer": {"steps": [["q", "i + 2", "i + 10"], ["i", "v + 12", "v + 22"], ["v", "a + 13", "a + 35"], ["a", "f + 17", "f + 52"], ["f", "k + 4", "k + 56"], ["k", 13, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"k": 13}, "is_reverse": true}} | 17,027 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = g + 15; i = v + 12; q = i + 2; a = f + 17; f = k + 4; v = a + 13; r = k + 18; j = y + 13; g = r + 4; n = q + 8; c = j + 3; y = p + 2; k = 13. If k = 13, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 2 to n, which gives n = i + 10.\n2. Substitute i = v + 12 to n, which gives n = v + 22.\n3. Substitute v = a + 13 to n, which gives n = a + 35.\n4. Substitute a = f + 17 to n, which gives n = f + 52.\n5. Substitute f = k + 4 to n, which gives n = k + 56.\n6. Substitute k = 13 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 17027,
"question": "Consider a system of variables where each variable is defined as follows: p = g + 15; i = v + 12; q = i + 2; a = f + 17; f = k + 4; v = a + 13; r = k + 18; j = y + 13; g = r + 4; n = q + 8; c = j + 3; y = p + 2; k = 13. If k = 13, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"m": "o + 9", "e": "m + 12", "v": "e + 4", "u": "v + 11", "b": "u + 4", "j": "b + 9", "g": "o + 5", "h": "g + 11", "f": "h + 7", "z": "f + 7", "a": "z + 15", "t": "a + 12", "o": 19}, "premises": {"o": 19}, "target": "j"}, "answer": {"steps": [["b", "u + 4", "u + 13"], ["u", "v + 11", "v + 24"], ["v", "e + 4", "e + 28"], ["e", "m + 12", "m + 40"], ["m", "o + 9", "o + 49"], ["o", 19, "68"]], "target_var_name": "j", "target_value": 68, "value_dict": {"o": 19}, "is_reverse": true}} | 17,028 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = 19; b = u + 4; u = v + 11; t = a + 12; a = z + 15; z = f + 7; j = b + 9; e = m + 12; h = g + 11; m = o + 9; f = h + 7; v = e + 4; g = o + 5. If o = 19, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 4 to j, which gives j = u + 13.\n2. Substitute u = v + 11 to j, which gives j = v + 24.\n3. Substitute v = e + 4 to j, which gives j = e + 28.\n4. Substitute e = m + 12 to j, which gives j = m + 40.\n5. Substitute m = o + 9 to j, which gives j = o + 49.\n6. Substitute o = 19 to j, which gives j = 68.\n\nThus, the final answer is j = \\boxed{68}.",
"index": 17028,
"question": "Consider a system of variables where each variable is defined as follows: o = 19; b = u + 4; u = v + 11; t = a + 12; a = z + 15; z = f + 7; j = b + 9; e = m + 12; h = g + 11; m = o + 9; f = h + 7; v = e + 4; g = o + 5. If o = 19, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 5", "v": "f + 13", "t": "v + 16", "r": "t + 20", "n": "r + 2", "z": "n + 7", "h": "a + 9", "q": "h + 18", "i": "q + 19", "g": "i + 10", "j": "g + 10", "o": "j + 14", "a": 7}, "premises": {"a": 7}, "target": "z"}, "answer": {"steps": [["n", "r + 2", "r + 9"], ["r", "t + 20", "t + 29"], ["t", "v + 16", "v + 45"], ["v", "f + 13", "f + 58"], ["f", "a + 5", "a + 63"], ["a", 7, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"a": 7}, "is_reverse": true}} | 17,029 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = f + 13; n = r + 2; f = a + 5; o = j + 14; t = v + 16; i = q + 19; g = i + 10; q = h + 18; r = t + 20; a = 7; h = a + 9; j = g + 10; z = n + 7. If a = 7, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 2 to z, which gives z = r + 9.\n2. Substitute r = t + 20 to z, which gives z = t + 29.\n3. Substitute t = v + 16 to z, which gives z = v + 45.\n4. Substitute v = f + 13 to z, which gives z = f + 58.\n5. Substitute f = a + 5 to z, which gives z = a + 63.\n6. Substitute a = 7 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 17029,
"question": "Consider a system of variables where each variable is defined as follows: v = f + 13; n = r + 2; f = a + 5; o = j + 14; t = v + 16; i = q + 19; g = i + 10; q = h + 18; r = t + 20; a = 7; h = a + 9; j = g + 10; z = n + 7. If a = 7, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"v": "a + 11", "s": "v + 5", "z": "s + 4", "i": "z + 19", "d": "i + 20", "q": "d + 10", "e": "a + 4", "o": "e + 17", "k": "o + 7", "f": "k + 5", "x": "f + 1", "l": "x + 17", "a": 15}, "premises": {"a": 15}, "target": "q"}, "answer": {"steps": [["d", "i + 20", "i + 30"], ["i", "z + 19", "z + 49"], ["z", "s + 4", "s + 53"], ["s", "v + 5", "v + 58"], ["v", "a + 11", "a + 69"], ["a", 15, "84"]], "target_var_name": "q", "target_value": 84, "value_dict": {"a": 15}, "is_reverse": true}} | 17,030 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = z + 19; e = a + 4; s = v + 5; d = i + 20; o = e + 17; q = d + 10; x = f + 1; a = 15; f = k + 5; k = o + 7; z = s + 4; l = x + 17; v = a + 11. If a = 15, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 20 to q, which gives q = i + 30.\n2. Substitute i = z + 19 to q, which gives q = z + 49.\n3. Substitute z = s + 4 to q, which gives q = s + 53.\n4. Substitute s = v + 5 to q, which gives q = v + 58.\n5. Substitute v = a + 11 to q, which gives q = a + 69.\n6. Substitute a = 15 to q, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 17030,
"question": "Consider a system of variables where each variable is defined as follows: i = z + 19; e = a + 4; s = v + 5; d = i + 20; o = e + 17; q = d + 10; x = f + 1; a = 15; f = k + 5; k = o + 7; z = s + 4; l = x + 17; v = a + 11. If a = 15, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"e": "h + 11", "c": "e + 6", "r": "c + 19", "d": "r + 20", "k": "d + 15", "s": "k + 8", "o": "h + 2", "w": "o + 11", "n": "w + 4", "g": "n + 18", "y": "g + 15", "v": "y + 3", "h": 6}, "premises": {"h": 6}, "target": "s"}, "answer": {"steps": [["k", "d + 15", "d + 23"], ["d", "r + 20", "r + 43"], ["r", "c + 19", "c + 62"], ["c", "e + 6", "e + 68"], ["e", "h + 11", "h + 79"], ["h", 6, "85"]], "target_var_name": "s", "target_value": 85, "value_dict": {"h": 6}, "is_reverse": true}} | 17,031 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = h + 2; g = n + 18; n = w + 4; s = k + 8; y = g + 15; v = y + 3; h = 6; w = o + 11; r = c + 19; k = d + 15; c = e + 6; d = r + 20; e = h + 11. If h = 6, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 15 to s, which gives s = d + 23.\n2. Substitute d = r + 20 to s, which gives s = r + 43.\n3. Substitute r = c + 19 to s, which gives s = c + 62.\n4. Substitute c = e + 6 to s, which gives s = e + 68.\n5. Substitute e = h + 11 to s, which gives s = h + 79.\n6. Substitute h = 6 to s, which gives s = 85.\n\nThus, the final answer is s = \\boxed{85}.",
"index": 17031,
"question": "Consider a system of variables where each variable is defined as follows: o = h + 2; g = n + 18; n = w + 4; s = k + 8; y = g + 15; v = y + 3; h = 6; w = o + 11; r = c + 19; k = d + 15; c = e + 6; d = r + 20; e = h + 11. If h = 6, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 16", "t": "s + 5", "g": "t + 4", "h": "g + 13", "p": "h + 14", "w": "p + 16", "y": "z + 19", "r": "y + 2", "x": "r + 7", "a": "x + 14", "b": "a + 1", "d": "b + 12", "z": 2}, "premises": {"z": 2}, "target": "w"}, "answer": {"steps": [["p", "h + 14", "h + 30"], ["h", "g + 13", "g + 43"], ["g", "t + 4", "t + 47"], ["t", "s + 5", "s + 52"], ["s", "z + 16", "z + 68"], ["z", 2, "70"]], "target_var_name": "w", "target_value": 70, "value_dict": {"z": 2}, "is_reverse": true}} | 17,032 | 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 = a + 1; r = y + 2; t = s + 5; y = z + 19; a = x + 14; s = z + 16; w = p + 16; d = b + 12; g = t + 4; x = r + 7; z = 2; p = h + 14; h = g + 13. If z = 2, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 14 to w, which gives w = h + 30.\n2. Substitute h = g + 13 to w, which gives w = g + 43.\n3. Substitute g = t + 4 to w, which gives w = t + 47.\n4. Substitute t = s + 5 to w, which gives w = s + 52.\n5. Substitute s = z + 16 to w, which gives w = z + 68.\n6. Substitute z = 2 to w, which gives w = 70.\n\nThus, the final answer is w = \\boxed{70}.",
"index": 17032,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = a + 1; r = y + 2; t = s + 5; y = z + 19; a = x + 14; s = z + 16; w = p + 16; d = b + 12; g = t + 4; x = r + 7; z = 2; p = h + 14; h = g + 13. If z = 2, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 18", "q": "r + 11", "o": "q + 12", "m": "o + 3", "a": "m + 6", "f": "a + 3", "b": "z + 13", "j": "b + 12", "l": "j + 6", "d": "l + 1", "p": "d + 13", "w": "p + 19", "z": 19}, "premises": {"z": 19}, "target": "f"}, "answer": {"steps": [["a", "m + 6", "m + 9"], ["m", "o + 3", "o + 12"], ["o", "q + 12", "q + 24"], ["q", "r + 11", "r + 35"], ["r", "z + 18", "z + 53"], ["z", 19, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"z": 19}, "is_reverse": true}} | 17,033 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = m + 6; f = a + 3; o = q + 12; b = z + 13; r = z + 18; q = r + 11; j = b + 12; l = j + 6; d = l + 1; p = d + 13; m = o + 3; w = p + 19; z = 19. Given that z = 19, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 6 to f, which gives f = m + 9.\n2. Substitute m = o + 3 to f, which gives f = o + 12.\n3. Substitute o = q + 12 to f, which gives f = q + 24.\n4. Substitute q = r + 11 to f, which gives f = r + 35.\n5. Substitute r = z + 18 to f, which gives f = z + 53.\n6. Substitute z = 19 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 17033,
"question": "Suppose a collection of variables is related by the following definitions: a = m + 6; f = a + 3; o = q + 12; b = z + 13; r = z + 18; q = r + 11; j = b + 12; l = j + 6; d = l + 1; p = d + 13; m = o + 3; w = p + 19; z = 19. Given that z = 19, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"s": "i + 19", "n": "s + 13", "w": "n + 13", "a": "w + 10", "m": "a + 6", "v": "m + 6", "b": "i + 17", "q": "b + 18", "k": "q + 12", "g": "k + 2", "o": "g + 15", "e": "o + 13", "i": 18}, "premises": {"i": 18}, "target": "v"}, "answer": {"steps": [["m", "a + 6", "a + 12"], ["a", "w + 10", "w + 22"], ["w", "n + 13", "n + 35"], ["n", "s + 13", "s + 48"], ["s", "i + 19", "i + 67"], ["i", 18, "85"]], "target_var_name": "v", "target_value": 85, "value_dict": {"i": 18}, "is_reverse": true}} | 17,034 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = a + 6; n = s + 13; v = m + 6; g = k + 2; e = o + 13; q = b + 18; s = i + 19; a = w + 10; k = q + 12; w = n + 13; i = 18; b = i + 17; o = g + 15. If i = 18, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 6 to v, which gives v = a + 12.\n2. Substitute a = w + 10 to v, which gives v = w + 22.\n3. Substitute w = n + 13 to v, which gives v = n + 35.\n4. Substitute n = s + 13 to v, which gives v = s + 48.\n5. Substitute s = i + 19 to v, which gives v = i + 67.\n6. Substitute i = 18 to v, which gives v = 85.\n\nThus, the final answer is v = \\boxed{85}.",
"index": 17034,
"question": "Consider a system of variables where each variable is defined as follows: m = a + 6; n = s + 13; v = m + 6; g = k + 2; e = o + 13; q = b + 18; s = i + 19; a = w + 10; k = q + 12; w = n + 13; i = 18; b = i + 17; o = g + 15. If i = 18, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 4", "o": "z + 20", "i": "o + 16", "f": "i + 4", "v": "f + 17", "u": "v + 19", "t": "b + 5", "m": "t + 4", "a": "m + 16", "j": "a + 18", "x": "j + 4", "q": "x + 8", "b": 5}, "premises": {"b": 5}, "target": "u"}, "answer": {"steps": [["v", "f + 17", "f + 36"], ["f", "i + 4", "i + 40"], ["i", "o + 16", "o + 56"], ["o", "z + 20", "z + 76"], ["z", "b + 4", "b + 80"], ["b", 5, "85"]], "target_var_name": "u", "target_value": 85, "value_dict": {"b": 5}, "is_reverse": true}} | 17,035 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = z + 20; m = t + 4; j = a + 18; v = f + 17; u = v + 19; a = m + 16; i = o + 16; b = 5; q = x + 8; t = b + 5; x = j + 4; z = b + 4; f = i + 4. If b = 5, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 17 to u, which gives u = f + 36.\n2. Substitute f = i + 4 to u, which gives u = i + 40.\n3. Substitute i = o + 16 to u, which gives u = o + 56.\n4. Substitute o = z + 20 to u, which gives u = z + 76.\n5. Substitute z = b + 4 to u, which gives u = b + 80.\n6. Substitute b = 5 to u, which gives u = 85.\n\nThus, the final answer is u = \\boxed{85}.",
"index": 17035,
"question": "Consider a system of variables where each variable is defined as follows: o = z + 20; m = t + 4; j = a + 18; v = f + 17; u = v + 19; a = m + 16; i = o + 16; b = 5; q = x + 8; t = b + 5; x = j + 4; z = b + 4; f = i + 4. If b = 5, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 9", "t": "b + 12", "v": "t + 19", "u": "v + 10", "y": "u + 1", "m": "y + 18", "i": "n + 14", "l": "i + 11", "p": "l + 12", "s": "p + 2", "r": "s + 6", "x": "r + 19", "n": 20}, "premises": {"n": 20}, "target": "m"}, "answer": {"steps": [["y", "u + 1", "u + 19"], ["u", "v + 10", "v + 29"], ["v", "t + 19", "t + 48"], ["t", "b + 12", "b + 60"], ["b", "n + 9", "n + 69"], ["n", 20, "89"]], "target_var_name": "m", "target_value": 89, "value_dict": {"n": 20}, "is_reverse": true}} | 17,036 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = p + 2; x = r + 19; r = s + 6; y = u + 1; p = l + 12; m = y + 18; i = n + 14; n = 20; t = b + 12; l = i + 11; v = t + 19; u = v + 10; b = n + 9. Given that n = 20, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 1 to m, which gives m = u + 19.\n2. Substitute u = v + 10 to m, which gives m = v + 29.\n3. Substitute v = t + 19 to m, which gives m = t + 48.\n4. Substitute t = b + 12 to m, which gives m = b + 60.\n5. Substitute b = n + 9 to m, which gives m = n + 69.\n6. Substitute n = 20 to m, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 17036,
"question": "Suppose a collection of variables is related by the following definitions: s = p + 2; x = r + 19; r = s + 6; y = u + 1; p = l + 12; m = y + 18; i = n + 14; n = 20; t = b + 12; l = i + 11; v = t + 19; u = v + 10; b = n + 9. Given that n = 20, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "l + 3", "s": "q + 5", "g": "s + 18", "e": "g + 2", "m": "e + 11", "p": "m + 8", "n": "l + 18", "y": "n + 9", "u": "y + 4", "c": "u + 13", "r": "c + 4", "w": "r + 8", "l": 9}, "premises": {"l": 9}, "target": "p"}, "answer": {"steps": [["m", "e + 11", "e + 19"], ["e", "g + 2", "g + 21"], ["g", "s + 18", "s + 39"], ["s", "q + 5", "q + 44"], ["q", "l + 3", "l + 47"], ["l", 9, "56"]], "target_var_name": "p", "target_value": 56, "value_dict": {"l": 9}, "is_reverse": true}} | 17,037 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = n + 9; r = c + 4; g = s + 18; n = l + 18; m = e + 11; q = l + 3; u = y + 4; c = u + 13; e = g + 2; p = m + 8; l = 9; s = q + 5; w = r + 8. If l = 9, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 11 to p, which gives p = e + 19.\n2. Substitute e = g + 2 to p, which gives p = g + 21.\n3. Substitute g = s + 18 to p, which gives p = s + 39.\n4. Substitute s = q + 5 to p, which gives p = q + 44.\n5. Substitute q = l + 3 to p, which gives p = l + 47.\n6. Substitute l = 9 to p, which gives p = 56.\n\nThus, the final answer is p = \\boxed{56}.",
"index": 17037,
"question": "Consider a system of variables where each variable is defined as follows: y = n + 9; r = c + 4; g = s + 18; n = l + 18; m = e + 11; q = l + 3; u = y + 4; c = u + 13; e = g + 2; p = m + 8; l = 9; s = q + 5; w = r + 8. If l = 9, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 20", "a": "m + 7", "s": "a + 8", "n": "s + 2", "c": "n + 14", "d": "c + 7", "q": "l + 19", "t": "q + 14", "b": "t + 2", "e": "b + 16", "u": "e + 20", "f": "u + 1", "l": 19}, "premises": {"l": 19}, "target": "d"}, "answer": {"steps": [["c", "n + 14", "n + 21"], ["n", "s + 2", "s + 23"], ["s", "a + 8", "a + 31"], ["a", "m + 7", "m + 38"], ["m", "l + 20", "l + 58"], ["l", 19, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"l": 19}, "is_reverse": true}} | 17,038 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = l + 20; f = u + 1; c = n + 14; s = a + 8; l = 19; a = m + 7; u = e + 20; b = t + 2; t = q + 14; d = c + 7; e = b + 16; q = l + 19; n = s + 2. If l = 19, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 14 to d, which gives d = n + 21.\n2. Substitute n = s + 2 to d, which gives d = s + 23.\n3. Substitute s = a + 8 to d, which gives d = a + 31.\n4. Substitute a = m + 7 to d, which gives d = m + 38.\n5. Substitute m = l + 20 to d, which gives d = l + 58.\n6. Substitute l = 19 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 17038,
"question": "Consider a system of variables where each variable is defined as follows: m = l + 20; f = u + 1; c = n + 14; s = a + 8; l = 19; a = m + 7; u = e + 20; b = t + 2; t = q + 14; d = c + 7; e = b + 16; q = l + 19; n = s + 2. If l = 19, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 6", "a": "i + 8", "p": "a + 6", "c": "p + 7", "j": "c + 13", "s": "j + 19", "e": "q + 4", "d": "e + 9", "g": "d + 13", "x": "g + 6", "n": "x + 10", "v": "n + 15", "q": 17}, "premises": {"q": 17}, "target": "s"}, "answer": {"steps": [["j", "c + 13", "c + 32"], ["c", "p + 7", "p + 39"], ["p", "a + 6", "a + 45"], ["a", "i + 8", "i + 53"], ["i", "q + 6", "q + 59"], ["q", 17, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"q": 17}, "is_reverse": true}} | 17,039 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 10; i = q + 6; q = 17; x = g + 6; v = n + 15; g = d + 13; c = p + 7; s = j + 19; j = c + 13; e = q + 4; d = e + 9; p = a + 6; a = i + 8. If q = 17, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 13 to s, which gives s = c + 32.\n2. Substitute c = p + 7 to s, which gives s = p + 39.\n3. Substitute p = a + 6 to s, which gives s = a + 45.\n4. Substitute a = i + 8 to s, which gives s = i + 53.\n5. Substitute i = q + 6 to s, which gives s = q + 59.\n6. Substitute q = 17 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 17039,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 10; i = q + 6; q = 17; x = g + 6; v = n + 15; g = d + 13; c = p + 7; s = j + 19; j = c + 13; e = q + 4; d = e + 9; p = a + 6; a = i + 8. If q = 17, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 1", "z": "a + 8", "c": "z + 11", "v": "c + 6", "s": "v + 11", "g": "s + 6", "f": "t + 9", "x": "f + 14", "p": "x + 10", "b": "p + 6", "n": "b + 1", "w": "n + 14", "t": 16}, "premises": {"t": 16}, "target": "g"}, "answer": {"steps": [["s", "v + 11", "v + 17"], ["v", "c + 6", "c + 23"], ["c", "z + 11", "z + 34"], ["z", "a + 8", "a + 42"], ["a", "t + 1", "t + 43"], ["t", 16, "59"]], "target_var_name": "g", "target_value": 59, "value_dict": {"t": 16}, "is_reverse": true}} | 17,040 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = p + 6; f = t + 9; z = a + 8; w = n + 14; v = c + 6; p = x + 10; a = t + 1; g = s + 6; x = f + 14; n = b + 1; s = v + 11; c = z + 11; t = 16. If t = 16, determine 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 s = v + 11 to g, which gives g = v + 17.\n2. Substitute v = c + 6 to g, which gives g = c + 23.\n3. Substitute c = z + 11 to g, which gives g = z + 34.\n4. Substitute z = a + 8 to g, which gives g = a + 42.\n5. Substitute a = t + 1 to g, which gives g = t + 43.\n6. Substitute t = 16 to g, which gives g = 59.\n\nThus, the final answer is g = \\boxed{59}.",
"index": 17040,
"question": "Consider a system of variables where each variable is defined as follows: b = p + 6; f = t + 9; z = a + 8; w = n + 14; v = c + 6; p = x + 10; a = t + 1; g = s + 6; x = f + 14; n = b + 1; s = v + 11; c = z + 11; t = 16. If t = 16, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 13", "p": "q + 16", "g": "p + 12", "k": "g + 10", "r": "k + 15", "d": "r + 13", "n": "o + 13", "b": "n + 8", "i": "b + 19", "t": "i + 8", "z": "t + 4", "h": "z + 13", "o": 14}, "premises": {"o": 14}, "target": "d"}, "answer": {"steps": [["r", "k + 15", "k + 28"], ["k", "g + 10", "g + 38"], ["g", "p + 12", "p + 50"], ["p", "q + 16", "q + 66"], ["q", "o + 13", "o + 79"], ["o", 14, "93"]], "target_var_name": "d", "target_value": 93, "value_dict": {"o": 14}, "is_reverse": true}} | 17,041 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = i + 8; g = p + 12; p = q + 16; z = t + 4; o = 14; r = k + 15; n = o + 13; h = z + 13; d = r + 13; b = n + 8; i = b + 19; q = o + 13; k = g + 10. Given that o = 14, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 15 to d, which gives d = k + 28.\n2. Substitute k = g + 10 to d, which gives d = g + 38.\n3. Substitute g = p + 12 to d, which gives d = p + 50.\n4. Substitute p = q + 16 to d, which gives d = q + 66.\n5. Substitute q = o + 13 to d, which gives d = o + 79.\n6. Substitute o = 14 to d, which gives d = 93.\n\nThus, the final answer is d = \\boxed{93}.",
"index": 17041,
"question": "Suppose a collection of variables is related by the following definitions: t = i + 8; g = p + 12; p = q + 16; z = t + 4; o = 14; r = k + 15; n = o + 13; h = z + 13; d = r + 13; b = n + 8; i = b + 19; q = o + 13; k = g + 10. Given that o = 14, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 16", "s": "j + 17", "x": "s + 15", "r": "x + 15", "l": "r + 17", "f": "l + 17", "n": "b + 10", "a": "n + 14", "y": "a + 15", "t": "y + 19", "z": "t + 16", "m": "z + 6", "b": 11}, "premises": {"b": 11}, "target": "f"}, "answer": {"steps": [["l", "r + 17", "r + 34"], ["r", "x + 15", "x + 49"], ["x", "s + 15", "s + 64"], ["s", "j + 17", "j + 81"], ["j", "b + 16", "b + 97"], ["b", 11, "108"]], "target_var_name": "f", "target_value": 108, "value_dict": {"b": 11}, "is_reverse": true}} | 17,042 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = l + 17; m = z + 6; t = y + 19; y = a + 15; b = 11; s = j + 17; n = b + 10; l = r + 17; z = t + 16; r = x + 15; a = n + 14; x = s + 15; j = b + 16. Given that b = 11, 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 l = r + 17 to f, which gives f = r + 34.\n2. Substitute r = x + 15 to f, which gives f = x + 49.\n3. Substitute x = s + 15 to f, which gives f = s + 64.\n4. Substitute s = j + 17 to f, which gives f = j + 81.\n5. Substitute j = b + 16 to f, which gives f = b + 97.\n6. Substitute b = 11 to f, which gives f = 108.\n\nThus, the final answer is f = \\boxed{108}.",
"index": 17042,
"question": "Suppose a collection of variables is related by the following definitions: f = l + 17; m = z + 6; t = y + 19; y = a + 15; b = 11; s = j + 17; n = b + 10; l = r + 17; z = t + 16; r = x + 15; a = n + 14; x = s + 15; j = b + 16. Given that b = 11, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"y": "z + 10", "k": "y + 2", "t": "k + 1", "n": "t + 1", "w": "n + 3", "p": "w + 9", "l": "z + 6", "u": "l + 13", "q": "u + 15", "a": "q + 20", "d": "a + 14", "o": "d + 13", "z": 20}, "premises": {"z": 20}, "target": "p"}, "answer": {"steps": [["w", "n + 3", "n + 12"], ["n", "t + 1", "t + 13"], ["t", "k + 1", "k + 14"], ["k", "y + 2", "y + 16"], ["y", "z + 10", "z + 26"], ["z", 20, "46"]], "target_var_name": "p", "target_value": 46, "value_dict": {"z": 20}, "is_reverse": true}} | 17,043 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = d + 13; n = t + 1; t = k + 1; u = l + 13; a = q + 20; z = 20; d = a + 14; l = z + 6; k = y + 2; w = n + 3; y = z + 10; q = u + 15; p = w + 9. If z = 20, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 3 to p, which gives p = n + 12.\n2. Substitute n = t + 1 to p, which gives p = t + 13.\n3. Substitute t = k + 1 to p, which gives p = k + 14.\n4. Substitute k = y + 2 to p, which gives p = y + 16.\n5. Substitute y = z + 10 to p, which gives p = z + 26.\n6. Substitute z = 20 to p, which gives p = 46.\n\nThus, the final answer is p = \\boxed{46}.",
"index": 17043,
"question": "Consider a system of variables where each variable is defined as follows: o = d + 13; n = t + 1; t = k + 1; u = l + 13; a = q + 20; z = 20; d = a + 14; l = z + 6; k = y + 2; w = n + 3; y = z + 10; q = u + 15; p = w + 9. If z = 20, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 2", "u": "v + 16", "d": "u + 4", "e": "d + 2", "k": "e + 3", "z": "k + 12", "j": "g + 2", "c": "j + 12", "h": "c + 14", "r": "h + 10", "b": "r + 9", "m": "b + 20", "g": 14}, "premises": {"g": 14}, "target": "z"}, "answer": {"steps": [["k", "e + 3", "e + 15"], ["e", "d + 2", "d + 17"], ["d", "u + 4", "u + 21"], ["u", "v + 16", "v + 37"], ["v", "g + 2", "g + 39"], ["g", 14, "53"]], "target_var_name": "z", "target_value": 53, "value_dict": {"g": 14}, "is_reverse": true}} | 17,044 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 20; e = d + 2; d = u + 4; z = k + 12; r = h + 10; k = e + 3; g = 14; u = v + 16; c = j + 12; v = g + 2; j = g + 2; h = c + 14; b = r + 9. If g = 14, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = e + 3 to z, which gives z = e + 15.\n2. Substitute e = d + 2 to z, which gives z = d + 17.\n3. Substitute d = u + 4 to z, which gives z = u + 21.\n4. Substitute u = v + 16 to z, which gives z = v + 37.\n5. Substitute v = g + 2 to z, which gives z = g + 39.\n6. Substitute g = 14 to z, which gives z = 53.\n\nThus, the final answer is z = \\boxed{53}.",
"index": 17044,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 20; e = d + 2; d = u + 4; z = k + 12; r = h + 10; k = e + 3; g = 14; u = v + 16; c = j + 12; v = g + 2; j = g + 2; h = c + 14; b = r + 9. If g = 14, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"p": "t + 9", "c": "p + 18", "i": "c + 20", "w": "i + 17", "u": "w + 12", "d": "u + 4", "m": "t + 11", "a": "m + 6", "o": "a + 4", "k": "o + 7", "y": "k + 10", "q": "y + 7", "t": 8}, "premises": {"t": 8}, "target": "d"}, "answer": {"steps": [["u", "w + 12", "w + 16"], ["w", "i + 17", "i + 33"], ["i", "c + 20", "c + 53"], ["c", "p + 18", "p + 71"], ["p", "t + 9", "t + 80"], ["t", 8, "88"]], "target_var_name": "d", "target_value": 88, "value_dict": {"t": 8}, "is_reverse": true}} | 17,045 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = o + 7; d = u + 4; c = p + 18; y = k + 10; t = 8; a = m + 6; m = t + 11; q = y + 7; o = a + 4; i = c + 20; p = t + 9; w = i + 17; u = w + 12. Given that t = 8, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 12 to d, which gives d = w + 16.\n2. Substitute w = i + 17 to d, which gives d = i + 33.\n3. Substitute i = c + 20 to d, which gives d = c + 53.\n4. Substitute c = p + 18 to d, which gives d = p + 71.\n5. Substitute p = t + 9 to d, which gives d = t + 80.\n6. Substitute t = 8 to d, which gives d = 88.\n\nThus, the final answer is d = \\boxed{88}.",
"index": 17045,
"question": "Suppose a collection of variables is related by the following definitions: k = o + 7; d = u + 4; c = p + 18; y = k + 10; t = 8; a = m + 6; m = t + 11; q = y + 7; o = a + 4; i = c + 20; p = t + 9; w = i + 17; u = w + 12. Given that t = 8, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 4", "m": "p + 2", "w": "m + 4", "h": "w + 1", "f": "h + 5", "k": "f + 6", "e": "r + 2", "v": "e + 19", "q": "v + 20", "a": "q + 9", "i": "a + 18", "d": "i + 6", "r": 11}, "premises": {"r": 11}, "target": "k"}, "answer": {"steps": [["f", "h + 5", "h + 11"], ["h", "w + 1", "w + 12"], ["w", "m + 4", "m + 16"], ["m", "p + 2", "p + 18"], ["p", "r + 4", "r + 22"], ["r", 11, "33"]], "target_var_name": "k", "target_value": 33, "value_dict": {"r": 11}, "is_reverse": true}} | 17,046 | 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 = p + 2; r = 11; k = f + 6; w = m + 4; a = q + 9; h = w + 1; v = e + 19; d = i + 6; p = r + 4; q = v + 20; f = h + 5; i = a + 18; e = r + 2. If r = 11, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 33,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 5 to k, which gives k = h + 11.\n2. Substitute h = w + 1 to k, which gives k = w + 12.\n3. Substitute w = m + 4 to k, which gives k = m + 16.\n4. Substitute m = p + 2 to k, which gives k = p + 18.\n5. Substitute p = r + 4 to k, which gives k = r + 22.\n6. Substitute r = 11 to k, which gives k = 33.\n\nThus, the final answer is k = \\boxed{33}.",
"index": 17046,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = p + 2; r = 11; k = f + 6; w = m + 4; a = q + 9; h = w + 1; v = e + 19; d = i + 6; p = r + 4; q = v + 20; f = h + 5; i = a + 18; e = r + 2. If r = 11, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 19", "t": "c + 13", "k": "t + 1", "a": "k + 11", "s": "a + 14", "e": "s + 11", "n": "p + 7", "f": "n + 19", "l": "f + 10", "b": "l + 9", "u": "b + 14", "m": "u + 19", "p": 8}, "premises": {"p": 8}, "target": "e"}, "answer": {"steps": [["s", "a + 14", "a + 25"], ["a", "k + 11", "k + 36"], ["k", "t + 1", "t + 37"], ["t", "c + 13", "c + 50"], ["c", "p + 19", "p + 69"], ["p", 8, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"p": 8}, "is_reverse": true}} | 17,047 | 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 = l + 9; u = b + 14; a = k + 11; s = a + 14; t = c + 13; p = 8; m = u + 19; n = p + 7; c = p + 19; f = n + 19; e = s + 11; k = t + 1; l = f + 10. If p = 8, 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 s = a + 14 to e, which gives e = a + 25.\n2. Substitute a = k + 11 to e, which gives e = k + 36.\n3. Substitute k = t + 1 to e, which gives e = t + 37.\n4. Substitute t = c + 13 to e, which gives e = c + 50.\n5. Substitute c = p + 19 to e, which gives e = p + 69.\n6. Substitute p = 8 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 17047,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 9; u = b + 14; a = k + 11; s = a + 14; t = c + 13; p = 8; m = u + 19; n = p + 7; c = p + 19; f = n + 19; e = s + 11; k = t + 1; l = f + 10. If p = 8, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 4", "n": "z + 1", "g": "n + 13", "x": "g + 20", "h": "x + 12", "k": "h + 14", "t": "m + 7", "p": "t + 13", "a": "p + 1", "r": "a + 5", "c": "r + 6", "u": "c + 10", "m": 16}, "premises": {"m": 16}, "target": "k"}, "answer": {"steps": [["h", "x + 12", "x + 26"], ["x", "g + 20", "g + 46"], ["g", "n + 13", "n + 59"], ["n", "z + 1", "z + 60"], ["z", "m + 4", "m + 64"], ["m", 16, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"m": 16}, "is_reverse": true}} | 17,048 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = t + 13; n = z + 1; h = x + 12; c = r + 6; k = h + 14; x = g + 20; g = n + 13; t = m + 7; m = 16; u = c + 10; a = p + 1; z = m + 4; r = a + 5. If m = 16, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 12 to k, which gives k = x + 26.\n2. Substitute x = g + 20 to k, which gives k = g + 46.\n3. Substitute g = n + 13 to k, which gives k = n + 59.\n4. Substitute n = z + 1 to k, which gives k = z + 60.\n5. Substitute z = m + 4 to k, which gives k = m + 64.\n6. Substitute m = 16 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 17048,
"question": "Consider a system of variables where each variable is defined as follows: p = t + 13; n = z + 1; h = x + 12; c = r + 6; k = h + 14; x = g + 20; g = n + 13; t = m + 7; m = 16; u = c + 10; a = p + 1; z = m + 4; r = a + 5. If m = 16, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"u": "o + 12", "d": "u + 18", "e": "d + 16", "y": "e + 9", "z": "y + 4", "f": "z + 2", "b": "o + 17", "c": "b + 17", "h": "c + 16", "l": "h + 15", "i": "l + 7", "k": "i + 10", "o": 1}, "premises": {"o": 1}, "target": "f"}, "answer": {"steps": [["z", "y + 4", "y + 6"], ["y", "e + 9", "e + 15"], ["e", "d + 16", "d + 31"], ["d", "u + 18", "u + 49"], ["u", "o + 12", "o + 61"], ["o", 1, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"o": 1}, "is_reverse": true}} | 17,049 | 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 = z + 2; b = o + 17; c = b + 17; k = i + 10; e = d + 16; y = e + 9; z = y + 4; l = h + 15; o = 1; d = u + 18; h = c + 16; u = o + 12; i = l + 7. If o = 1, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 4 to f, which gives f = y + 6.\n2. Substitute y = e + 9 to f, which gives f = e + 15.\n3. Substitute e = d + 16 to f, which gives f = d + 31.\n4. Substitute d = u + 18 to f, which gives f = u + 49.\n5. Substitute u = o + 12 to f, which gives f = o + 61.\n6. Substitute o = 1 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 17049,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = z + 2; b = o + 17; c = b + 17; k = i + 10; e = d + 16; y = e + 9; z = y + 4; l = h + 15; o = 1; d = u + 18; h = c + 16; u = o + 12; i = l + 7. If o = 1, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 1", "r": "b + 6", "c": "r + 16", "u": "c + 19", "s": "u + 14", "j": "s + 16", "a": "p + 12", "q": "a + 11", "d": "q + 12", "x": "d + 7", "t": "x + 5", "w": "t + 1", "p": 13}, "premises": {"p": 13}, "target": "j"}, "answer": {"steps": [["s", "u + 14", "u + 30"], ["u", "c + 19", "c + 49"], ["c", "r + 16", "r + 65"], ["r", "b + 6", "b + 71"], ["b", "p + 1", "p + 72"], ["p", 13, "85"]], "target_var_name": "j", "target_value": 85, "value_dict": {"p": 13}, "is_reverse": true}} | 17,050 | 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 = 13; w = t + 1; x = d + 7; b = p + 1; c = r + 16; a = p + 12; q = a + 11; r = b + 6; t = x + 5; d = q + 12; u = c + 19; s = u + 14; j = s + 16. If p = 13, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 14 to j, which gives j = u + 30.\n2. Substitute u = c + 19 to j, which gives j = c + 49.\n3. Substitute c = r + 16 to j, which gives j = r + 65.\n4. Substitute r = b + 6 to j, which gives j = b + 71.\n5. Substitute b = p + 1 to j, which gives j = p + 72.\n6. Substitute p = 13 to j, which gives j = 85.\n\nThus, the final answer is j = \\boxed{85}.",
"index": 17050,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = 13; w = t + 1; x = d + 7; b = p + 1; c = r + 16; a = p + 12; q = a + 11; r = b + 6; t = x + 5; d = q + 12; u = c + 19; s = u + 14; j = s + 16. If p = 13, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 5", "p": "n + 2", "z": "p + 14", "r": "z + 1", "h": "r + 1", "o": "h + 6", "u": "l + 11", "s": "u + 12", "i": "s + 1", "d": "i + 14", "b": "d + 13", "y": "b + 13", "l": 18}, "premises": {"l": 18}, "target": "o"}, "answer": {"steps": [["h", "r + 1", "r + 7"], ["r", "z + 1", "z + 8"], ["z", "p + 14", "p + 22"], ["p", "n + 2", "n + 24"], ["n", "l + 5", "l + 29"], ["l", 18, "47"]], "target_var_name": "o", "target_value": 47, "value_dict": {"l": 18}, "is_reverse": true}} | 17,051 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = z + 1; d = i + 14; s = u + 12; n = l + 5; u = l + 11; i = s + 1; y = b + 13; o = h + 6; z = p + 14; b = d + 13; h = r + 1; p = n + 2; l = 18. If l = 18, determine 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 h = r + 1 to o, which gives o = r + 7.\n2. Substitute r = z + 1 to o, which gives o = z + 8.\n3. Substitute z = p + 14 to o, which gives o = p + 22.\n4. Substitute p = n + 2 to o, which gives o = n + 24.\n5. Substitute n = l + 5 to o, which gives o = l + 29.\n6. Substitute l = 18 to o, which gives o = 47.\n\nThus, the final answer is o = \\boxed{47}.",
"index": 17051,
"question": "Consider a system of variables where each variable is defined as follows: r = z + 1; d = i + 14; s = u + 12; n = l + 5; u = l + 11; i = s + 1; y = b + 13; o = h + 6; z = p + 14; b = d + 13; h = r + 1; p = n + 2; l = 18. If l = 18, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 6", "m": "n + 14", "d": "m + 8", "x": "d + 1", "j": "x + 1", "b": "j + 19", "f": "h + 13", "t": "f + 14", "o": "t + 8", "u": "o + 17", "r": "u + 15", "i": "r + 13", "h": 9}, "premises": {"h": 9}, "target": "b"}, "answer": {"steps": [["j", "x + 1", "x + 20"], ["x", "d + 1", "d + 21"], ["d", "m + 8", "m + 29"], ["m", "n + 14", "n + 43"], ["n", "h + 6", "h + 49"], ["h", 9, "58"]], "target_var_name": "b", "target_value": 58, "value_dict": {"h": 9}, "is_reverse": true}} | 17,052 | 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 = 9; i = r + 13; d = m + 8; m = n + 14; b = j + 19; r = u + 15; t = f + 14; x = d + 1; j = x + 1; u = o + 17; f = h + 13; o = t + 8; n = h + 6. If h = 9, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 1 to b, which gives b = x + 20.\n2. Substitute x = d + 1 to b, which gives b = d + 21.\n3. Substitute d = m + 8 to b, which gives b = m + 29.\n4. Substitute m = n + 14 to b, which gives b = n + 43.\n5. Substitute n = h + 6 to b, which gives b = h + 49.\n6. Substitute h = 9 to b, which gives b = 58.\n\nThus, the final answer is b = \\boxed{58}.",
"index": 17052,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 9; i = r + 13; d = m + 8; m = n + 14; b = j + 19; r = u + 15; t = f + 14; x = d + 1; j = x + 1; u = o + 17; f = h + 13; o = t + 8; n = h + 6. If h = 9, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 7", "r": "c + 13", "q": "r + 8", "d": "q + 18", "z": "d + 11", "w": "z + 17", "s": "y + 9", "h": "s + 17", "i": "h + 13", "p": "i + 8", "m": "p + 4", "x": "m + 15", "y": 3}, "premises": {"y": 3}, "target": "w"}, "answer": {"steps": [["z", "d + 11", "d + 28"], ["d", "q + 18", "q + 46"], ["q", "r + 8", "r + 54"], ["r", "c + 13", "c + 67"], ["c", "y + 7", "y + 74"], ["y", 3, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"y": 3}, "is_reverse": true}} | 17,053 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = s + 17; m = p + 4; w = z + 17; y = 3; x = m + 15; d = q + 18; i = h + 13; p = i + 8; z = d + 11; r = c + 13; q = r + 8; s = y + 9; c = y + 7. If y = 3, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 11 to w, which gives w = d + 28.\n2. Substitute d = q + 18 to w, which gives w = q + 46.\n3. Substitute q = r + 8 to w, which gives w = r + 54.\n4. Substitute r = c + 13 to w, which gives w = c + 67.\n5. Substitute c = y + 7 to w, which gives w = y + 74.\n6. Substitute y = 3 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 17053,
"question": "Consider a system of variables where each variable is defined as follows: h = s + 17; m = p + 4; w = z + 17; y = 3; x = m + 15; d = q + 18; i = h + 13; p = i + 8; z = d + 11; r = c + 13; q = r + 8; s = y + 9; c = y + 7. If y = 3, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"z": "p + 13", "h": "z + 12", "i": "h + 7", "r": "i + 4", "m": "r + 19", "j": "m + 18", "w": "p + 11", "d": "w + 11", "g": "d + 15", "b": "g + 12", "x": "b + 5", "k": "x + 7", "p": 20}, "premises": {"p": 20}, "target": "j"}, "answer": {"steps": [["m", "r + 19", "r + 37"], ["r", "i + 4", "i + 41"], ["i", "h + 7", "h + 48"], ["h", "z + 12", "z + 60"], ["z", "p + 13", "p + 73"], ["p", 20, "93"]], "target_var_name": "j", "target_value": 93, "value_dict": {"p": 20}, "is_reverse": true}} | 17,054 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = x + 7; b = g + 12; z = p + 13; j = m + 18; w = p + 11; i = h + 7; g = d + 15; p = 20; h = z + 12; r = i + 4; m = r + 19; x = b + 5; d = w + 11. If p = 20, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 19 to j, which gives j = r + 37.\n2. Substitute r = i + 4 to j, which gives j = i + 41.\n3. Substitute i = h + 7 to j, which gives j = h + 48.\n4. Substitute h = z + 12 to j, which gives j = z + 60.\n5. Substitute z = p + 13 to j, which gives j = p + 73.\n6. Substitute p = 20 to j, which gives j = 93.\n\nThus, the final answer is j = \\boxed{93}.",
"index": 17054,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = x + 7; b = g + 12; z = p + 13; j = m + 18; w = p + 11; i = h + 7; g = d + 15; p = 20; h = z + 12; r = i + 4; m = r + 19; x = b + 5; d = w + 11. If p = 20, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 5", "q": "h + 13", "l": "q + 19", "k": "l + 5", "f": "k + 1", "r": "f + 10", "e": "y + 19", "c": "e + 20", "p": "c + 17", "i": "p + 15", "s": "i + 19", "n": "s + 20", "y": 14}, "premises": {"y": 14}, "target": "r"}, "answer": {"steps": [["f", "k + 1", "k + 11"], ["k", "l + 5", "l + 16"], ["l", "q + 19", "q + 35"], ["q", "h + 13", "h + 48"], ["h", "y + 5", "y + 53"], ["y", 14, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"y": 14}, "is_reverse": true}} | 17,055 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = s + 20; c = e + 20; y = 14; p = c + 17; l = q + 19; i = p + 15; q = h + 13; s = i + 19; r = f + 10; h = y + 5; e = y + 19; k = l + 5; f = k + 1. Given that y = 14, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 1 to r, which gives r = k + 11.\n2. Substitute k = l + 5 to r, which gives r = l + 16.\n3. Substitute l = q + 19 to r, which gives r = q + 35.\n4. Substitute q = h + 13 to r, which gives r = h + 48.\n5. Substitute h = y + 5 to r, which gives r = y + 53.\n6. Substitute y = 14 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 17055,
"question": "Suppose a collection of variables is related by the following definitions: n = s + 20; c = e + 20; y = 14; p = c + 17; l = q + 19; i = p + 15; q = h + 13; s = i + 19; r = f + 10; h = y + 5; e = y + 19; k = l + 5; f = k + 1. Given that y = 14, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 8", "f": "j + 15", "i": "f + 19", "o": "i + 4", "g": "o + 19", "t": "g + 2", "e": "k + 4", "n": "e + 15", "w": "n + 16", "u": "w + 1", "c": "u + 12", "y": "c + 6", "k": 9}, "premises": {"k": 9}, "target": "t"}, "answer": {"steps": [["g", "o + 19", "o + 21"], ["o", "i + 4", "i + 25"], ["i", "f + 19", "f + 44"], ["f", "j + 15", "j + 59"], ["j", "k + 8", "k + 67"], ["k", 9, "76"]], "target_var_name": "t", "target_value": 76, "value_dict": {"k": 9}, "is_reverse": true}} | 17,056 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = n + 16; c = u + 12; g = o + 19; j = k + 8; k = 9; u = w + 1; n = e + 15; e = k + 4; t = g + 2; o = i + 4; i = f + 19; y = c + 6; f = j + 15. If k = 9, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 19 to t, which gives t = o + 21.\n2. Substitute o = i + 4 to t, which gives t = i + 25.\n3. Substitute i = f + 19 to t, which gives t = f + 44.\n4. Substitute f = j + 15 to t, which gives t = j + 59.\n5. Substitute j = k + 8 to t, which gives t = k + 67.\n6. Substitute k = 9 to t, which gives t = 76.\n\nThus, the final answer is t = \\boxed{76}.",
"index": 17056,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = n + 16; c = u + 12; g = o + 19; j = k + 8; k = 9; u = w + 1; n = e + 15; e = k + 4; t = g + 2; o = i + 4; i = f + 19; y = c + 6; f = j + 15. If k = 9, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 9", "n": "x + 11", "p": "n + 20", "j": "p + 20", "i": "j + 20", "z": "i + 10", "q": "g + 17", "v": "q + 7", "h": "v + 12", "d": "h + 20", "y": "d + 4", "b": "y + 20", "g": 17}, "premises": {"g": 17}, "target": "z"}, "answer": {"steps": [["i", "j + 20", "j + 30"], ["j", "p + 20", "p + 50"], ["p", "n + 20", "n + 70"], ["n", "x + 11", "x + 81"], ["x", "g + 9", "g + 90"], ["g", 17, "107"]], "target_var_name": "z", "target_value": 107, "value_dict": {"g": 17}, "is_reverse": true}} | 17,057 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = j + 20; y = d + 4; z = i + 10; n = x + 11; b = y + 20; j = p + 20; d = h + 20; p = n + 20; v = q + 7; h = v + 12; x = g + 9; q = g + 17; g = 17. If g = 17, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 20 to z, which gives z = j + 30.\n2. Substitute j = p + 20 to z, which gives z = p + 50.\n3. Substitute p = n + 20 to z, which gives z = n + 70.\n4. Substitute n = x + 11 to z, which gives z = x + 81.\n5. Substitute x = g + 9 to z, which gives z = g + 90.\n6. Substitute g = 17 to z, which gives z = 107.\n\nThus, the final answer is z = \\boxed{107}.",
"index": 17057,
"question": "Consider a system of variables where each variable is defined as follows: i = j + 20; y = d + 4; z = i + 10; n = x + 11; b = y + 20; j = p + 20; d = h + 20; p = n + 20; v = q + 7; h = v + 12; x = g + 9; q = g + 17; g = 17. If g = 17, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"y": "e + 6", "b": "y + 7", "r": "b + 8", "g": "r + 7", "n": "g + 3", "x": "n + 14", "f": "e + 6", "o": "f + 12", "a": "o + 15", "v": "a + 18", "j": "v + 20", "m": "j + 4", "e": 11}, "premises": {"e": 11}, "target": "x"}, "answer": {"steps": [["n", "g + 3", "g + 17"], ["g", "r + 7", "r + 24"], ["r", "b + 8", "b + 32"], ["b", "y + 7", "y + 39"], ["y", "e + 6", "e + 45"], ["e", 11, "56"]], "target_var_name": "x", "target_value": 56, "value_dict": {"e": 11}, "is_reverse": true}} | 17,058 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = r + 7; n = g + 3; y = e + 6; b = y + 7; f = e + 6; a = o + 15; r = b + 8; m = j + 4; e = 11; v = a + 18; x = n + 14; j = v + 20; o = f + 12. If e = 11, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 3 to x, which gives x = g + 17.\n2. Substitute g = r + 7 to x, which gives x = r + 24.\n3. Substitute r = b + 8 to x, which gives x = b + 32.\n4. Substitute b = y + 7 to x, which gives x = y + 39.\n5. Substitute y = e + 6 to x, which gives x = e + 45.\n6. Substitute e = 11 to x, which gives x = 56.\n\nThus, the final answer is x = \\boxed{56}.",
"index": 17058,
"question": "Consider a system of variables where each variable is defined as follows: g = r + 7; n = g + 3; y = e + 6; b = y + 7; f = e + 6; a = o + 15; r = b + 8; m = j + 4; e = 11; v = a + 18; x = n + 14; j = v + 20; o = f + 12. If e = 11, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 3", "y": "u + 12", "h": "y + 15", "i": "h + 13", "v": "i + 9", "n": "v + 7", "a": "b + 17", "e": "a + 7", "w": "e + 5", "j": "w + 15", "z": "j + 5", "g": "z + 16", "b": 7}, "premises": {"b": 7}, "target": "n"}, "answer": {"steps": [["v", "i + 9", "i + 16"], ["i", "h + 13", "h + 29"], ["h", "y + 15", "y + 44"], ["y", "u + 12", "u + 56"], ["u", "b + 3", "b + 59"], ["b", 7, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"b": 7}, "is_reverse": true}} | 17,059 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = v + 7; y = u + 12; i = h + 13; a = b + 17; b = 7; u = b + 3; z = j + 5; j = w + 15; v = i + 9; h = y + 15; e = a + 7; g = z + 16; w = e + 5. Given that b = 7, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 9 to n, which gives n = i + 16.\n2. Substitute i = h + 13 to n, which gives n = h + 29.\n3. Substitute h = y + 15 to n, which gives n = y + 44.\n4. Substitute y = u + 12 to n, which gives n = u + 56.\n5. Substitute u = b + 3 to n, which gives n = b + 59.\n6. Substitute b = 7 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 17059,
"question": "Suppose a collection of variables is related by the following definitions: n = v + 7; y = u + 12; i = h + 13; a = b + 17; b = 7; u = b + 3; z = j + 5; j = w + 15; v = i + 9; h = y + 15; e = a + 7; g = z + 16; w = e + 5. Given that b = 7, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 3", "x": "f + 2", "z": "x + 17", "i": "z + 18", "v": "i + 8", "g": "v + 6", "t": "h + 14", "s": "t + 5", "c": "s + 10", "u": "c + 20", "e": "u + 16", "y": "e + 13", "h": 1}, "premises": {"h": 1}, "target": "g"}, "answer": {"steps": [["v", "i + 8", "i + 14"], ["i", "z + 18", "z + 32"], ["z", "x + 17", "x + 49"], ["x", "f + 2", "f + 51"], ["f", "h + 3", "h + 54"], ["h", 1, "55"]], "target_var_name": "g", "target_value": 55, "value_dict": {"h": 1}, "is_reverse": true}} | 17,060 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = v + 6; v = i + 8; h = 1; s = t + 5; i = z + 18; y = e + 13; e = u + 16; t = h + 14; z = x + 17; x = f + 2; c = s + 10; u = c + 20; f = h + 3. If h = 1, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 8 to g, which gives g = i + 14.\n2. Substitute i = z + 18 to g, which gives g = z + 32.\n3. Substitute z = x + 17 to g, which gives g = x + 49.\n4. Substitute x = f + 2 to g, which gives g = f + 51.\n5. Substitute f = h + 3 to g, which gives g = h + 54.\n6. Substitute h = 1 to g, which gives g = 55.\n\nThus, the final answer is g = \\boxed{55}.",
"index": 17060,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = v + 6; v = i + 8; h = 1; s = t + 5; i = z + 18; y = e + 13; e = u + 16; t = h + 14; z = x + 17; x = f + 2; c = s + 10; u = c + 20; f = h + 3. If h = 1, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 11", "b": "j + 14", "t": "b + 6", "d": "t + 12", "g": "d + 18", "z": "g + 7", "y": "f + 8", "o": "y + 4", "r": "o + 9", "l": "r + 18", "s": "l + 16", "n": "s + 17", "f": 19}, "premises": {"f": 19}, "target": "z"}, "answer": {"steps": [["g", "d + 18", "d + 25"], ["d", "t + 12", "t + 37"], ["t", "b + 6", "b + 43"], ["b", "j + 14", "j + 57"], ["j", "f + 11", "f + 68"], ["f", 19, "87"]], "target_var_name": "z", "target_value": 87, "value_dict": {"f": 19}, "is_reverse": true}} | 17,061 | 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 = f + 8; r = o + 9; f = 19; s = l + 16; d = t + 12; l = r + 18; z = g + 7; g = d + 18; o = y + 4; n = s + 17; j = f + 11; t = b + 6; b = j + 14. If f = 19, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 18 to z, which gives z = d + 25.\n2. Substitute d = t + 12 to z, which gives z = t + 37.\n3. Substitute t = b + 6 to z, which gives z = b + 43.\n4. Substitute b = j + 14 to z, which gives z = j + 57.\n5. Substitute j = f + 11 to z, which gives z = f + 68.\n6. Substitute f = 19 to z, which gives z = 87.\n\nThus, the final answer is z = \\boxed{87}.",
"index": 17061,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = f + 8; r = o + 9; f = 19; s = l + 16; d = t + 12; l = r + 18; z = g + 7; g = d + 18; o = y + 4; n = s + 17; j = f + 11; t = b + 6; b = j + 14. If f = 19, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 17", "p": "r + 8", "f": "p + 17", "g": "f + 3", "u": "g + 18", "k": "u + 5", "d": "y + 1", "h": "d + 4", "c": "h + 16", "n": "c + 6", "b": "n + 13", "q": "b + 9", "y": 11}, "premises": {"y": 11}, "target": "k"}, "answer": {"steps": [["u", "g + 18", "g + 23"], ["g", "f + 3", "f + 26"], ["f", "p + 17", "p + 43"], ["p", "r + 8", "r + 51"], ["r", "y + 17", "y + 68"], ["y", 11, "79"]], "target_var_name": "k", "target_value": 79, "value_dict": {"y": 11}, "is_reverse": true}} | 17,062 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = h + 16; n = c + 6; h = d + 4; k = u + 5; f = p + 17; g = f + 3; p = r + 8; u = g + 18; y = 11; r = y + 17; b = n + 13; q = b + 9; d = y + 1. Given that y = 11, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 18 to k, which gives k = g + 23.\n2. Substitute g = f + 3 to k, which gives k = f + 26.\n3. Substitute f = p + 17 to k, which gives k = p + 43.\n4. Substitute p = r + 8 to k, which gives k = r + 51.\n5. Substitute r = y + 17 to k, which gives k = y + 68.\n6. Substitute y = 11 to k, which gives k = 79.\n\nThus, the final answer is k = \\boxed{79}.",
"index": 17062,
"question": "Suppose a collection of variables is related by the following definitions: c = h + 16; n = c + 6; h = d + 4; k = u + 5; f = p + 17; g = f + 3; p = r + 8; u = g + 18; y = 11; r = y + 17; b = n + 13; q = b + 9; d = y + 1. Given that y = 11, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 1", "x": "o + 18", "k": "x + 5", "d": "k + 4", "m": "d + 13", "t": "m + 2", "i": "v + 13", "j": "i + 1", "l": "j + 10", "a": "l + 14", "b": "a + 9", "y": "b + 20", "v": 1}, "premises": {"v": 1}, "target": "t"}, "answer": {"steps": [["m", "d + 13", "d + 15"], ["d", "k + 4", "k + 19"], ["k", "x + 5", "x + 24"], ["x", "o + 18", "o + 42"], ["o", "v + 1", "v + 43"], ["v", 1, "44"]], "target_var_name": "t", "target_value": 44, "value_dict": {"v": 1}, "is_reverse": true}} | 17,063 | 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 = o + 18; l = j + 10; v = 1; y = b + 20; d = k + 4; t = m + 2; b = a + 9; a = l + 14; j = i + 1; k = x + 5; i = v + 13; o = v + 1; m = d + 13. If v = 1, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 13 to t, which gives t = d + 15.\n2. Substitute d = k + 4 to t, which gives t = k + 19.\n3. Substitute k = x + 5 to t, which gives t = x + 24.\n4. Substitute x = o + 18 to t, which gives t = o + 42.\n5. Substitute o = v + 1 to t, which gives t = v + 43.\n6. Substitute v = 1 to t, which gives t = 44.\n\nThus, the final answer is t = \\boxed{44}.",
"index": 17063,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 18; l = j + 10; v = 1; y = b + 20; d = k + 4; t = m + 2; b = a + 9; a = l + 14; j = i + 1; k = x + 5; i = v + 13; o = v + 1; m = d + 13. If v = 1, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 10", "e": "p + 19", "m": "e + 12", "c": "m + 14", "k": "c + 2", "j": "k + 3", "v": "i + 16", "f": "v + 9", "s": "f + 11", "t": "s + 10", "n": "t + 7", "b": "n + 5", "i": 3}, "premises": {"i": 3}, "target": "j"}, "answer": {"steps": [["k", "c + 2", "c + 5"], ["c", "m + 14", "m + 19"], ["m", "e + 12", "e + 31"], ["e", "p + 19", "p + 50"], ["p", "i + 10", "i + 60"], ["i", 3, "63"]], "target_var_name": "j", "target_value": 63, "value_dict": {"i": 3}, "is_reverse": true}} | 17,064 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = k + 3; i = 3; t = s + 10; f = v + 9; k = c + 2; s = f + 11; n = t + 7; m = e + 12; b = n + 5; e = p + 19; p = i + 10; v = i + 16; c = m + 14. If i = 3, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 2 to j, which gives j = c + 5.\n2. Substitute c = m + 14 to j, which gives j = m + 19.\n3. Substitute m = e + 12 to j, which gives j = e + 31.\n4. Substitute e = p + 19 to j, which gives j = p + 50.\n5. Substitute p = i + 10 to j, which gives j = i + 60.\n6. Substitute i = 3 to j, which gives j = 63.\n\nThus, the final answer is j = \\boxed{63}.",
"index": 17064,
"question": "Consider a system of variables where each variable is defined as follows: j = k + 3; i = 3; t = s + 10; f = v + 9; k = c + 2; s = f + 11; n = t + 7; m = e + 12; b = n + 5; e = p + 19; p = i + 10; v = i + 16; c = m + 14. If i = 3, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 1", "i": "c + 8", "z": "i + 19", "t": "z + 9", "w": "t + 18", "n": "w + 9", "m": "s + 6", "l": "m + 18", "j": "l + 7", "x": "j + 2", "v": "x + 8", "u": "v + 1", "s": 5}, "premises": {"s": 5}, "target": "n"}, "answer": {"steps": [["w", "t + 18", "t + 27"], ["t", "z + 9", "z + 36"], ["z", "i + 19", "i + 55"], ["i", "c + 8", "c + 63"], ["c", "s + 1", "s + 64"], ["s", 5, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"s": 5}, "is_reverse": true}} | 17,065 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = z + 9; c = s + 1; l = m + 18; v = x + 8; u = v + 1; j = l + 7; x = j + 2; n = w + 9; z = i + 19; i = c + 8; s = 5; w = t + 18; m = s + 6. Given that s = 5, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 18 to n, which gives n = t + 27.\n2. Substitute t = z + 9 to n, which gives n = z + 36.\n3. Substitute z = i + 19 to n, which gives n = i + 55.\n4. Substitute i = c + 8 to n, which gives n = c + 63.\n5. Substitute c = s + 1 to n, which gives n = s + 64.\n6. Substitute s = 5 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 17065,
"question": "Suppose a collection of variables is related by the following definitions: t = z + 9; c = s + 1; l = m + 18; v = x + 8; u = v + 1; j = l + 7; x = j + 2; n = w + 9; z = i + 19; i = c + 8; s = 5; w = t + 18; m = s + 6. Given that s = 5, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 7", "u": "r + 8", "y": "u + 11", "z": "y + 3", "c": "z + 2", "t": "c + 7", "b": "k + 17", "a": "b + 3", "e": "a + 2", "d": "e + 6", "s": "d + 18", "p": "s + 17", "k": 8}, "premises": {"k": 8}, "target": "t"}, "answer": {"steps": [["c", "z + 2", "z + 9"], ["z", "y + 3", "y + 12"], ["y", "u + 11", "u + 23"], ["u", "r + 8", "r + 31"], ["r", "k + 7", "k + 38"], ["k", 8, "46"]], "target_var_name": "t", "target_value": 46, "value_dict": {"k": 8}, "is_reverse": true}} | 17,066 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = b + 3; z = y + 3; c = z + 2; b = k + 17; u = r + 8; e = a + 2; k = 8; d = e + 6; s = d + 18; t = c + 7; r = k + 7; y = u + 11; p = s + 17. If k = 8, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 2 to t, which gives t = z + 9.\n2. Substitute z = y + 3 to t, which gives t = y + 12.\n3. Substitute y = u + 11 to t, which gives t = u + 23.\n4. Substitute u = r + 8 to t, which gives t = r + 31.\n5. Substitute r = k + 7 to t, which gives t = k + 38.\n6. Substitute k = 8 to t, which gives t = 46.\n\nThus, the final answer is t = \\boxed{46}.",
"index": 17066,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = b + 3; z = y + 3; c = z + 2; b = k + 17; u = r + 8; e = a + 2; k = 8; d = e + 6; s = d + 18; t = c + 7; r = k + 7; y = u + 11; p = s + 17. If k = 8, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"d": "u + 16", "l": "d + 14", "i": "l + 19", "g": "i + 19", "o": "g + 17", "q": "o + 1", "t": "u + 10", "b": "t + 17", "x": "b + 14", "h": "x + 9", "z": "h + 1", "f": "z + 13", "u": 19}, "premises": {"u": 19}, "target": "q"}, "answer": {"steps": [["o", "g + 17", "g + 18"], ["g", "i + 19", "i + 37"], ["i", "l + 19", "l + 56"], ["l", "d + 14", "d + 70"], ["d", "u + 16", "u + 86"], ["u", 19, "105"]], "target_var_name": "q", "target_value": 105, "value_dict": {"u": 19}, "is_reverse": true}} | 17,067 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = u + 10; f = z + 13; h = x + 9; d = u + 16; z = h + 1; l = d + 14; g = i + 19; i = l + 19; b = t + 17; u = 19; o = g + 17; x = b + 14; q = o + 1. If u = 19, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 17 to q, which gives q = g + 18.\n2. Substitute g = i + 19 to q, which gives q = i + 37.\n3. Substitute i = l + 19 to q, which gives q = l + 56.\n4. Substitute l = d + 14 to q, which gives q = d + 70.\n5. Substitute d = u + 16 to q, which gives q = u + 86.\n6. Substitute u = 19 to q, which gives q = 105.\n\nThus, the final answer is q = \\boxed{105}.",
"index": 17067,
"question": "Consider a system of variables where each variable is defined as follows: t = u + 10; f = z + 13; h = x + 9; d = u + 16; z = h + 1; l = d + 14; g = i + 19; i = l + 19; b = t + 17; u = 19; o = g + 17; x = b + 14; q = o + 1. If u = 19, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 12", "n": "w + 2", "y": "n + 2", "l": "y + 9", "x": "l + 4", "p": "x + 13", "u": "q + 19", "m": "u + 7", "b": "m + 4", "c": "b + 2", "j": "c + 12", "f": "j + 20", "q": 1}, "premises": {"q": 1}, "target": "p"}, "answer": {"steps": [["x", "l + 4", "l + 17"], ["l", "y + 9", "y + 26"], ["y", "n + 2", "n + 28"], ["n", "w + 2", "w + 30"], ["w", "q + 12", "q + 42"], ["q", 1, "43"]], "target_var_name": "p", "target_value": 43, "value_dict": {"q": 1}, "is_reverse": true}} | 17,068 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = w + 2; p = x + 13; y = n + 2; b = m + 4; q = 1; l = y + 9; c = b + 2; x = l + 4; w = q + 12; f = j + 20; u = q + 19; j = c + 12; m = u + 7. If q = 1, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 4 to p, which gives p = l + 17.\n2. Substitute l = y + 9 to p, which gives p = y + 26.\n3. Substitute y = n + 2 to p, which gives p = n + 28.\n4. Substitute n = w + 2 to p, which gives p = w + 30.\n5. Substitute w = q + 12 to p, which gives p = q + 42.\n6. Substitute q = 1 to p, which gives p = 43.\n\nThus, the final answer is p = \\boxed{43}.",
"index": 17068,
"question": "Consider a system of variables where each variable is defined as follows: n = w + 2; p = x + 13; y = n + 2; b = m + 4; q = 1; l = y + 9; c = b + 2; x = l + 4; w = q + 12; f = j + 20; u = q + 19; j = c + 12; m = u + 7. If q = 1, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"m": "h + 4", "c": "m + 19", "v": "c + 3", "n": "v + 8", "r": "n + 13", "t": "r + 9", "i": "h + 9", "d": "i + 19", "x": "d + 3", "e": "x + 13", "a": "e + 4", "g": "a + 18", "h": 15}, "premises": {"h": 15}, "target": "t"}, "answer": {"steps": [["r", "n + 13", "n + 22"], ["n", "v + 8", "v + 30"], ["v", "c + 3", "c + 33"], ["c", "m + 19", "m + 52"], ["m", "h + 4", "h + 56"], ["h", 15, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"h": 15}, "is_reverse": true}} | 17,069 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = h + 9; x = d + 3; e = x + 13; m = h + 4; t = r + 9; h = 15; a = e + 4; v = c + 3; n = v + 8; d = i + 19; g = a + 18; c = m + 19; r = n + 13. If h = 15, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 13 to t, which gives t = n + 22.\n2. Substitute n = v + 8 to t, which gives t = v + 30.\n3. Substitute v = c + 3 to t, which gives t = c + 33.\n4. Substitute c = m + 19 to t, which gives t = m + 52.\n5. Substitute m = h + 4 to t, which gives t = h + 56.\n6. Substitute h = 15 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 17069,
"question": "Consider a system of variables where each variable is defined as follows: i = h + 9; x = d + 3; e = x + 13; m = h + 4; t = r + 9; h = 15; a = e + 4; v = c + 3; n = v + 8; d = i + 19; g = a + 18; c = m + 19; r = n + 13. If h = 15, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 10", "u": "v + 7", "h": "u + 20", "a": "h + 13", "i": "a + 3", "e": "i + 8", "p": "g + 2", "s": "p + 4", "f": "s + 15", "l": "f + 7", "m": "l + 12", "t": "m + 6", "g": 2}, "premises": {"g": 2}, "target": "e"}, "answer": {"steps": [["i", "a + 3", "a + 11"], ["a", "h + 13", "h + 24"], ["h", "u + 20", "u + 44"], ["u", "v + 7", "v + 51"], ["v", "g + 10", "g + 61"], ["g", 2, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"g": 2}, "is_reverse": true}} | 17,070 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = g + 2; v = g + 10; l = f + 7; u = v + 7; f = s + 15; h = u + 20; g = 2; a = h + 13; m = l + 12; i = a + 3; s = p + 4; e = i + 8; t = m + 6. Given that g = 2, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 3 to e, which gives e = a + 11.\n2. Substitute a = h + 13 to e, which gives e = h + 24.\n3. Substitute h = u + 20 to e, which gives e = u + 44.\n4. Substitute u = v + 7 to e, which gives e = v + 51.\n5. Substitute v = g + 10 to e, which gives e = g + 61.\n6. Substitute g = 2 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 17070,
"question": "Suppose a collection of variables is related by the following definitions: p = g + 2; v = g + 10; l = f + 7; u = v + 7; f = s + 15; h = u + 20; g = 2; a = h + 13; m = l + 12; i = a + 3; s = p + 4; e = i + 8; t = m + 6. Given that g = 2, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"u": "z + 13", "g": "u + 16", "y": "g + 1", "r": "y + 14", "d": "r + 19", "a": "d + 3", "q": "z + 18", "n": "q + 17", "e": "n + 5", "c": "e + 12", "j": "c + 16", "t": "j + 10", "z": 17}, "premises": {"z": 17}, "target": "a"}, "answer": {"steps": [["d", "r + 19", "r + 22"], ["r", "y + 14", "y + 36"], ["y", "g + 1", "g + 37"], ["g", "u + 16", "u + 53"], ["u", "z + 13", "z + 66"], ["z", 17, "83"]], "target_var_name": "a", "target_value": 83, "value_dict": {"z": 17}, "is_reverse": true}} | 17,071 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = u + 16; t = j + 10; e = n + 5; d = r + 19; u = z + 13; n = q + 17; q = z + 18; r = y + 14; a = d + 3; y = g + 1; z = 17; c = e + 12; j = c + 16. If z = 17, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 19 to a, which gives a = r + 22.\n2. Substitute r = y + 14 to a, which gives a = y + 36.\n3. Substitute y = g + 1 to a, which gives a = g + 37.\n4. Substitute g = u + 16 to a, which gives a = u + 53.\n5. Substitute u = z + 13 to a, which gives a = z + 66.\n6. Substitute z = 17 to a, which gives a = 83.\n\nThus, the final answer is a = \\boxed{83}.",
"index": 17071,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = u + 16; t = j + 10; e = n + 5; d = r + 19; u = z + 13; n = q + 17; q = z + 18; r = y + 14; a = d + 3; y = g + 1; z = 17; c = e + 12; j = c + 16. If z = 17, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"x": "c + 17", "s": "x + 2", "w": "s + 5", "b": "w + 11", "z": "b + 15", "e": "z + 9", "q": "c + 10", "o": "q + 18", "j": "o + 11", "n": "j + 8", "k": "n + 2", "h": "k + 19", "c": 14}, "premises": {"c": 14}, "target": "e"}, "answer": {"steps": [["z", "b + 15", "b + 24"], ["b", "w + 11", "w + 35"], ["w", "s + 5", "s + 40"], ["s", "x + 2", "x + 42"], ["x", "c + 17", "c + 59"], ["c", 14, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"c": 14}, "is_reverse": true}} | 17,072 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 2; o = q + 18; x = c + 17; c = 14; b = w + 11; h = k + 19; k = n + 2; e = z + 9; w = s + 5; q = c + 10; j = o + 11; n = j + 8; z = b + 15. If c = 14, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 15 to e, which gives e = b + 24.\n2. Substitute b = w + 11 to e, which gives e = w + 35.\n3. Substitute w = s + 5 to e, which gives e = s + 40.\n4. Substitute s = x + 2 to e, which gives e = x + 42.\n5. Substitute x = c + 17 to e, which gives e = c + 59.\n6. Substitute c = 14 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 17072,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 2; o = q + 18; x = c + 17; c = 14; b = w + 11; h = k + 19; k = n + 2; e = z + 9; w = s + 5; q = c + 10; j = o + 11; n = j + 8; z = b + 15. If c = 14, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 1", "c": "b + 13", "u": "c + 16", "a": "u + 14", "t": "a + 7", "h": "t + 6", "i": "e + 17", "r": "i + 8", "s": "r + 18", "y": "s + 7", "w": "y + 6", "o": "w + 12", "e": 13}, "premises": {"e": 13}, "target": "h"}, "answer": {"steps": [["t", "a + 7", "a + 13"], ["a", "u + 14", "u + 27"], ["u", "c + 16", "c + 43"], ["c", "b + 13", "b + 56"], ["b", "e + 1", "e + 57"], ["e", 13, "70"]], "target_var_name": "h", "target_value": 70, "value_dict": {"e": 13}, "is_reverse": true}} | 17,073 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = 13; w = y + 6; c = b + 13; t = a + 7; s = r + 18; r = i + 8; b = e + 1; o = w + 12; h = t + 6; i = e + 17; y = s + 7; a = u + 14; u = c + 16. Given that e = 13, find the 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 t = a + 7 to h, which gives h = a + 13.\n2. Substitute a = u + 14 to h, which gives h = u + 27.\n3. Substitute u = c + 16 to h, which gives h = c + 43.\n4. Substitute c = b + 13 to h, which gives h = b + 56.\n5. Substitute b = e + 1 to h, which gives h = e + 57.\n6. Substitute e = 13 to h, which gives h = 70.\n\nThus, the final answer is h = \\boxed{70}.",
"index": 17073,
"question": "Suppose a collection of variables is related by the following definitions: e = 13; w = y + 6; c = b + 13; t = a + 7; s = r + 18; r = i + 8; b = e + 1; o = w + 12; h = t + 6; i = e + 17; y = s + 7; a = u + 14; u = c + 16. Given that e = 13, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 3", "z": "e + 20", "n": "z + 7", "o": "n + 15", "v": "o + 15", "g": "v + 1", "b": "s + 1", "t": "b + 10", "u": "t + 8", "f": "u + 16", "q": "f + 11", "l": "q + 6", "s": 19}, "premises": {"s": 19}, "target": "g"}, "answer": {"steps": [["v", "o + 15", "o + 16"], ["o", "n + 15", "n + 31"], ["n", "z + 7", "z + 38"], ["z", "e + 20", "e + 58"], ["e", "s + 3", "s + 61"], ["s", 19, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"s": 19}, "is_reverse": true}} | 17,074 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = v + 1; e = s + 3; l = q + 6; n = z + 7; v = o + 15; f = u + 16; z = e + 20; b = s + 1; u = t + 8; o = n + 15; t = b + 10; s = 19; q = f + 11. If s = 19, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 15 to g, which gives g = o + 16.\n2. Substitute o = n + 15 to g, which gives g = n + 31.\n3. Substitute n = z + 7 to g, which gives g = z + 38.\n4. Substitute z = e + 20 to g, which gives g = e + 58.\n5. Substitute e = s + 3 to g, which gives g = s + 61.\n6. Substitute s = 19 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 17074,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = v + 1; e = s + 3; l = q + 6; n = z + 7; v = o + 15; f = u + 16; z = e + 20; b = s + 1; u = t + 8; o = n + 15; t = b + 10; s = 19; q = f + 11. If s = 19, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 8", "a": "q + 6", "s": "a + 16", "u": "s + 6", "l": "u + 12", "c": "l + 3", "r": "d + 6", "v": "r + 14", "h": "v + 14", "b": "h + 12", "t": "b + 14", "m": "t + 16", "d": 4}, "premises": {"d": 4}, "target": "c"}, "answer": {"steps": [["l", "u + 12", "u + 15"], ["u", "s + 6", "s + 21"], ["s", "a + 16", "a + 37"], ["a", "q + 6", "q + 43"], ["q", "d + 8", "d + 51"], ["d", 4, "55"]], "target_var_name": "c", "target_value": 55, "value_dict": {"d": 4}, "is_reverse": true}} | 17,075 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = s + 6; r = d + 6; q = d + 8; h = v + 14; b = h + 12; d = 4; v = r + 14; t = b + 14; c = l + 3; a = q + 6; s = a + 16; m = t + 16; l = u + 12. Given that d = 4, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 12 to c, which gives c = u + 15.\n2. Substitute u = s + 6 to c, which gives c = s + 21.\n3. Substitute s = a + 16 to c, which gives c = a + 37.\n4. Substitute a = q + 6 to c, which gives c = q + 43.\n5. Substitute q = d + 8 to c, which gives c = d + 51.\n6. Substitute d = 4 to c, which gives c = 55.\n\nThus, the final answer is c = \\boxed{55}.",
"index": 17075,
"question": "Suppose a collection of variables is related by the following definitions: u = s + 6; r = d + 6; q = d + 8; h = v + 14; b = h + 12; d = 4; v = r + 14; t = b + 14; c = l + 3; a = q + 6; s = a + 16; m = t + 16; l = u + 12. Given that d = 4, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "t + 11", "p": "l + 17", "h": "p + 16", "w": "h + 6", "v": "w + 10", "m": "v + 12", "d": "t + 7", "g": "d + 18", "n": "g + 12", "e": "n + 3", "a": "e + 3", "c": "a + 19", "t": 15}, "premises": {"t": 15}, "target": "m"}, "answer": {"steps": [["v", "w + 10", "w + 22"], ["w", "h + 6", "h + 28"], ["h", "p + 16", "p + 44"], ["p", "l + 17", "l + 61"], ["l", "t + 11", "t + 72"], ["t", 15, "87"]], "target_var_name": "m", "target_value": 87, "value_dict": {"t": 15}, "is_reverse": true}} | 17,076 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = n + 3; g = d + 18; a = e + 3; v = w + 10; m = v + 12; l = t + 11; t = 15; d = t + 7; w = h + 6; c = a + 19; h = p + 16; n = g + 12; p = l + 17. If t = 15, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 10 to m, which gives m = w + 22.\n2. Substitute w = h + 6 to m, which gives m = h + 28.\n3. Substitute h = p + 16 to m, which gives m = p + 44.\n4. Substitute p = l + 17 to m, which gives m = l + 61.\n5. Substitute l = t + 11 to m, which gives m = t + 72.\n6. Substitute t = 15 to m, which gives m = 87.\n\nThus, the final answer is m = \\boxed{87}.",
"index": 17076,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = n + 3; g = d + 18; a = e + 3; v = w + 10; m = v + 12; l = t + 11; t = 15; d = t + 7; w = h + 6; c = a + 19; h = p + 16; n = g + 12; p = l + 17. If t = 15, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 12", "i": "c + 11", "d": "i + 17", "f": "d + 13", "r": "f + 5", "j": "r + 14", "v": "y + 5", "a": "v + 14", "m": "a + 7", "q": "m + 4", "p": "q + 20", "l": "p + 16", "y": 14}, "premises": {"y": 14}, "target": "j"}, "answer": {"steps": [["r", "f + 5", "f + 19"], ["f", "d + 13", "d + 32"], ["d", "i + 17", "i + 49"], ["i", "c + 11", "c + 60"], ["c", "y + 12", "y + 72"], ["y", 14, "86"]], "target_var_name": "j", "target_value": 86, "value_dict": {"y": 14}, "is_reverse": true}} | 17,077 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = q + 20; l = p + 16; a = v + 14; q = m + 4; c = y + 12; m = a + 7; r = f + 5; d = i + 17; j = r + 14; v = y + 5; i = c + 11; f = d + 13; y = 14. If y = 14, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 5 to j, which gives j = f + 19.\n2. Substitute f = d + 13 to j, which gives j = d + 32.\n3. Substitute d = i + 17 to j, which gives j = i + 49.\n4. Substitute i = c + 11 to j, which gives j = c + 60.\n5. Substitute c = y + 12 to j, which gives j = y + 72.\n6. Substitute y = 14 to j, which gives j = 86.\n\nThus, the final answer is j = \\boxed{86}.",
"index": 17077,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = q + 20; l = p + 16; a = v + 14; q = m + 4; c = y + 12; m = a + 7; r = f + 5; d = i + 17; j = r + 14; v = y + 5; i = c + 11; f = d + 13; y = 14. If y = 14, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"k": "l + 17", "g": "k + 12", "r": "g + 15", "p": "r + 15", "o": "p + 5", "w": "o + 9", "q": "l + 16", "i": "q + 8", "e": "i + 14", "t": "e + 15", "u": "t + 6", "a": "u + 1", "l": 20}, "premises": {"l": 20}, "target": "w"}, "answer": {"steps": [["o", "p + 5", "p + 14"], ["p", "r + 15", "r + 29"], ["r", "g + 15", "g + 44"], ["g", "k + 12", "k + 56"], ["k", "l + 17", "l + 73"], ["l", 20, "93"]], "target_var_name": "w", "target_value": 93, "value_dict": {"l": 20}, "is_reverse": true}} | 17,078 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = p + 5; a = u + 1; u = t + 6; i = q + 8; q = l + 16; g = k + 12; w = o + 9; r = g + 15; p = r + 15; t = e + 15; k = l + 17; e = i + 14; l = 20. Given that l = 20, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 5 to w, which gives w = p + 14.\n2. Substitute p = r + 15 to w, which gives w = r + 29.\n3. Substitute r = g + 15 to w, which gives w = g + 44.\n4. Substitute g = k + 12 to w, which gives w = k + 56.\n5. Substitute k = l + 17 to w, which gives w = l + 73.\n6. Substitute l = 20 to w, which gives w = 93.\n\nThus, the final answer is w = \\boxed{93}.",
"index": 17078,
"question": "Suppose a collection of variables is related by the following definitions: o = p + 5; a = u + 1; u = t + 6; i = q + 8; q = l + 16; g = k + 12; w = o + 9; r = g + 15; p = r + 15; t = e + 15; k = l + 17; e = i + 14; l = 20. Given that l = 20, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 14", "g": "c + 7", "i": "g + 5", "y": "i + 5", "d": "y + 15", "f": "d + 11", "u": "a + 1", "s": "u + 19", "e": "s + 18", "k": "e + 3", "o": "k + 8", "b": "o + 7", "a": 7}, "premises": {"a": 7}, "target": "f"}, "answer": {"steps": [["d", "y + 15", "y + 26"], ["y", "i + 5", "i + 31"], ["i", "g + 5", "g + 36"], ["g", "c + 7", "c + 43"], ["c", "a + 14", "a + 57"], ["a", 7, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"a": 7}, "is_reverse": true}} | 17,079 | 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 = g + 5; a = 7; u = a + 1; e = s + 18; s = u + 19; b = o + 7; c = a + 14; k = e + 3; d = y + 15; y = i + 5; f = d + 11; o = k + 8; g = c + 7. If a = 7, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 15 to f, which gives f = y + 26.\n2. Substitute y = i + 5 to f, which gives f = i + 31.\n3. Substitute i = g + 5 to f, which gives f = g + 36.\n4. Substitute g = c + 7 to f, which gives f = c + 43.\n5. Substitute c = a + 14 to f, which gives f = a + 57.\n6. Substitute a = 7 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 17079,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = g + 5; a = 7; u = a + 1; e = s + 18; s = u + 19; b = o + 7; c = a + 14; k = e + 3; d = y + 15; y = i + 5; f = d + 11; o = k + 8; g = c + 7. If a = 7, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 6", "u": "t + 11", "n": "u + 17", "d": "n + 12", "p": "d + 10", "c": "p + 2", "o": "l + 3", "k": "o + 16", "z": "k + 16", "h": "z + 15", "b": "h + 10", "x": "b + 15", "l": 16}, "premises": {"l": 16}, "target": "c"}, "answer": {"steps": [["p", "d + 10", "d + 12"], ["d", "n + 12", "n + 24"], ["n", "u + 17", "u + 41"], ["u", "t + 11", "t + 52"], ["t", "l + 6", "l + 58"], ["l", 16, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"l": 16}, "is_reverse": true}} | 17,080 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = t + 11; t = l + 6; d = n + 12; x = b + 15; k = o + 16; z = k + 16; c = p + 2; h = z + 15; p = d + 10; o = l + 3; b = h + 10; l = 16; n = u + 17. If l = 16, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 10 to c, which gives c = d + 12.\n2. Substitute d = n + 12 to c, which gives c = n + 24.\n3. Substitute n = u + 17 to c, which gives c = u + 41.\n4. Substitute u = t + 11 to c, which gives c = t + 52.\n5. Substitute t = l + 6 to c, which gives c = l + 58.\n6. Substitute l = 16 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 17080,
"question": "Consider a system of variables where each variable is defined as follows: u = t + 11; t = l + 6; d = n + 12; x = b + 15; k = o + 16; z = k + 16; c = p + 2; h = z + 15; p = d + 10; o = l + 3; b = h + 10; l = 16; n = u + 17. If l = 16, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 19", "m": "p + 4", "u": "m + 15", "n": "u + 5", "z": "n + 14", "e": "z + 16", "w": "i + 2", "x": "w + 9", "d": "x + 19", "j": "d + 19", "k": "j + 6", "v": "k + 19", "i": 4}, "premises": {"i": 4}, "target": "e"}, "answer": {"steps": [["z", "n + 14", "n + 30"], ["n", "u + 5", "u + 35"], ["u", "m + 15", "m + 50"], ["m", "p + 4", "p + 54"], ["p", "i + 19", "i + 73"], ["i", 4, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"i": 4}, "is_reverse": true}} | 17,081 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = d + 19; w = i + 2; i = 4; e = z + 16; m = p + 4; u = m + 15; k = j + 6; v = k + 19; p = i + 19; x = w + 9; z = n + 14; n = u + 5; d = x + 19. Given that i = 4, find the 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 z = n + 14 to e, which gives e = n + 30.\n2. Substitute n = u + 5 to e, which gives e = u + 35.\n3. Substitute u = m + 15 to e, which gives e = m + 50.\n4. Substitute m = p + 4 to e, which gives e = p + 54.\n5. Substitute p = i + 19 to e, which gives e = i + 73.\n6. Substitute i = 4 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 17081,
"question": "Suppose a collection of variables is related by the following definitions: j = d + 19; w = i + 2; i = 4; e = z + 16; m = p + 4; u = m + 15; k = j + 6; v = k + 19; p = i + 19; x = w + 9; z = n + 14; n = u + 5; d = x + 19. Given that i = 4, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 4", "b": "t + 8", "z": "b + 13", "h": "z + 7", "q": "h + 20", "c": "q + 9", "p": "x + 10", "v": "p + 13", "m": "v + 12", "r": "m + 4", "i": "r + 13", "s": "i + 18", "x": 18}, "premises": {"x": 18}, "target": "c"}, "answer": {"steps": [["q", "h + 20", "h + 29"], ["h", "z + 7", "z + 36"], ["z", "b + 13", "b + 49"], ["b", "t + 8", "t + 57"], ["t", "x + 4", "x + 61"], ["x", 18, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"x": 18}, "is_reverse": true}} | 17,082 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = b + 13; s = i + 18; b = t + 8; v = p + 13; x = 18; c = q + 9; p = x + 10; q = h + 20; h = z + 7; r = m + 4; t = x + 4; m = v + 12; i = r + 13. If x = 18, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 20 to c, which gives c = h + 29.\n2. Substitute h = z + 7 to c, which gives c = z + 36.\n3. Substitute z = b + 13 to c, which gives c = b + 49.\n4. Substitute b = t + 8 to c, which gives c = t + 57.\n5. Substitute t = x + 4 to c, which gives c = x + 61.\n6. Substitute x = 18 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 17082,
"question": "Consider a system of variables where each variable is defined as follows: z = b + 13; s = i + 18; b = t + 8; v = p + 13; x = 18; c = q + 9; p = x + 10; q = h + 20; h = z + 7; r = m + 4; t = x + 4; m = v + 12; i = r + 13. If x = 18, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"z": "p + 10", "m": "z + 11", "i": "m + 5", "s": "i + 1", "a": "s + 4", "t": "a + 12", "l": "p + 8", "y": "l + 15", "r": "y + 1", "h": "r + 20", "b": "h + 14", "d": "b + 10", "p": 9}, "premises": {"p": 9}, "target": "t"}, "answer": {"steps": [["a", "s + 4", "s + 16"], ["s", "i + 1", "i + 17"], ["i", "m + 5", "m + 22"], ["m", "z + 11", "z + 33"], ["z", "p + 10", "p + 43"], ["p", 9, "52"]], "target_var_name": "t", "target_value": 52, "value_dict": {"p": 9}, "is_reverse": true}} | 17,083 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = p + 10; m = z + 11; p = 9; l = p + 8; t = a + 12; d = b + 10; y = l + 15; h = r + 20; r = y + 1; s = i + 1; a = s + 4; b = h + 14; i = m + 5. Given that p = 9, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 4 to t, which gives t = s + 16.\n2. Substitute s = i + 1 to t, which gives t = i + 17.\n3. Substitute i = m + 5 to t, which gives t = m + 22.\n4. Substitute m = z + 11 to t, which gives t = z + 33.\n5. Substitute z = p + 10 to t, which gives t = p + 43.\n6. Substitute p = 9 to t, which gives t = 52.\n\nThus, the final answer is t = \\boxed{52}.",
"index": 17083,
"question": "Suppose a collection of variables is related by the following definitions: z = p + 10; m = z + 11; p = 9; l = p + 8; t = a + 12; d = b + 10; y = l + 15; h = r + 20; r = y + 1; s = i + 1; a = s + 4; b = h + 14; i = m + 5. Given that p = 9, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 10", "k": "v + 20", "e": "k + 18", "f": "e + 9", "h": "f + 19", "i": "h + 10", "l": "g + 19", "r": "l + 11", "a": "r + 9", "u": "a + 20", "z": "u + 1", "c": "z + 7", "g": 9}, "premises": {"g": 9}, "target": "i"}, "answer": {"steps": [["h", "f + 19", "f + 29"], ["f", "e + 9", "e + 38"], ["e", "k + 18", "k + 56"], ["k", "v + 20", "v + 76"], ["v", "g + 10", "g + 86"], ["g", 9, "95"]], "target_var_name": "i", "target_value": 95, "value_dict": {"g": 9}, "is_reverse": true}} | 17,084 | 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 = h + 10; v = g + 10; z = u + 1; k = v + 20; u = a + 20; g = 9; l = g + 19; e = k + 18; f = e + 9; h = f + 19; c = z + 7; r = l + 11; a = r + 9. If g = 9, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 19 to i, which gives i = f + 29.\n2. Substitute f = e + 9 to i, which gives i = e + 38.\n3. Substitute e = k + 18 to i, which gives i = k + 56.\n4. Substitute k = v + 20 to i, which gives i = v + 76.\n5. Substitute v = g + 10 to i, which gives i = g + 86.\n6. Substitute g = 9 to i, which gives i = 95.\n\nThus, the final answer is i = \\boxed{95}.",
"index": 17084,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = h + 10; v = g + 10; z = u + 1; k = v + 20; u = a + 20; g = 9; l = g + 19; e = k + 18; f = e + 9; h = f + 19; c = z + 7; r = l + 11; a = r + 9. If g = 9, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 12", "k": "s + 2", "n": "k + 12", "i": "n + 18", "q": "i + 7", "c": "q + 17", "l": "m + 5", "h": "l + 19", "d": "h + 9", "r": "d + 2", "x": "r + 19", "f": "x + 6", "m": 3}, "premises": {"m": 3}, "target": "c"}, "answer": {"steps": [["q", "i + 7", "i + 24"], ["i", "n + 18", "n + 42"], ["n", "k + 12", "k + 54"], ["k", "s + 2", "s + 56"], ["s", "m + 12", "m + 68"], ["m", 3, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"m": 3}, "is_reverse": true}} | 17,085 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = s + 2; h = l + 19; q = i + 7; d = h + 9; i = n + 18; n = k + 12; r = d + 2; x = r + 19; s = m + 12; l = m + 5; c = q + 17; f = x + 6; m = 3. Given that m = 3, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 7 to c, which gives c = i + 24.\n2. Substitute i = n + 18 to c, which gives c = n + 42.\n3. Substitute n = k + 12 to c, which gives c = k + 54.\n4. Substitute k = s + 2 to c, which gives c = s + 56.\n5. Substitute s = m + 12 to c, which gives c = m + 68.\n6. Substitute m = 3 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 17085,
"question": "Suppose a collection of variables is related by the following definitions: k = s + 2; h = l + 19; q = i + 7; d = h + 9; i = n + 18; n = k + 12; r = d + 2; x = r + 19; s = m + 12; l = m + 5; c = q + 17; f = x + 6; m = 3. Given that m = 3, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "c + 17", "i": "l + 3", "a": "i + 11", "z": "a + 6", "r": "z + 5", "y": "r + 15", "e": "c + 17", "q": "e + 11", "x": "q + 4", "w": "x + 12", "p": "w + 6", "u": "p + 1", "c": 4}, "premises": {"c": 4}, "target": "y"}, "answer": {"steps": [["r", "z + 5", "z + 20"], ["z", "a + 6", "a + 26"], ["a", "i + 11", "i + 37"], ["i", "l + 3", "l + 40"], ["l", "c + 17", "c + 57"], ["c", 4, "61"]], "target_var_name": "y", "target_value": 61, "value_dict": {"c": 4}, "is_reverse": true}} | 17,086 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = p + 1; a = i + 11; x = q + 4; p = w + 6; c = 4; e = c + 17; i = l + 3; y = r + 15; q = e + 11; l = c + 17; w = x + 12; r = z + 5; z = a + 6. If c = 4, determine the 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 r = z + 5 to y, which gives y = z + 20.\n2. Substitute z = a + 6 to y, which gives y = a + 26.\n3. Substitute a = i + 11 to y, which gives y = i + 37.\n4. Substitute i = l + 3 to y, which gives y = l + 40.\n5. Substitute l = c + 17 to y, which gives y = c + 57.\n6. Substitute c = 4 to y, which gives y = 61.\n\nThus, the final answer is y = \\boxed{61}.",
"index": 17086,
"question": "Consider a system of variables where each variable is defined as follows: u = p + 1; a = i + 11; x = q + 4; p = w + 6; c = 4; e = c + 17; i = l + 3; y = r + 15; q = e + 11; l = c + 17; w = x + 12; r = z + 5; z = a + 6. If c = 4, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "o + 13", "s": "z + 9", "p": "s + 10", "b": "p + 18", "a": "b + 5", "f": "a + 4", "e": "o + 9", "y": "e + 9", "j": "y + 2", "k": "j + 16", "u": "k + 19", "x": "u + 14", "o": 4}, "premises": {"o": 4}, "target": "f"}, "answer": {"steps": [["a", "b + 5", "b + 9"], ["b", "p + 18", "p + 27"], ["p", "s + 10", "s + 37"], ["s", "z + 9", "z + 46"], ["z", "o + 13", "o + 59"], ["o", 4, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"o": 4}, "is_reverse": true}} | 17,087 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = z + 9; z = o + 13; x = u + 14; o = 4; j = y + 2; e = o + 9; k = j + 16; y = e + 9; u = k + 19; p = s + 10; f = a + 4; a = b + 5; b = p + 18. If o = 4, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 5 to f, which gives f = b + 9.\n2. Substitute b = p + 18 to f, which gives f = p + 27.\n3. Substitute p = s + 10 to f, which gives f = s + 37.\n4. Substitute s = z + 9 to f, which gives f = z + 46.\n5. Substitute z = o + 13 to f, which gives f = o + 59.\n6. Substitute o = 4 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 17087,
"question": "Consider a system of variables where each variable is defined as follows: s = z + 9; z = o + 13; x = u + 14; o = 4; j = y + 2; e = o + 9; k = j + 16; y = e + 9; u = k + 19; p = s + 10; f = a + 4; a = b + 5; b = p + 18. If o = 4, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 15", "b": "x + 5", "f": "b + 3", "z": "f + 4", "u": "z + 11", "d": "u + 11", "l": "t + 6", "m": "l + 12", "o": "m + 16", "p": "o + 13", "v": "p + 18", "y": "v + 13", "t": 1}, "premises": {"t": 1}, "target": "d"}, "answer": {"steps": [["u", "z + 11", "z + 22"], ["z", "f + 4", "f + 26"], ["f", "b + 3", "b + 29"], ["b", "x + 5", "x + 34"], ["x", "t + 15", "t + 49"], ["t", 1, "50"]], "target_var_name": "d", "target_value": 50, "value_dict": {"t": 1}, "is_reverse": true}} | 17,088 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = v + 13; f = b + 3; p = o + 13; z = f + 4; b = x + 5; m = l + 12; o = m + 16; v = p + 18; u = z + 11; t = 1; x = t + 15; l = t + 6; d = u + 11. Given that t = 1, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 11 to d, which gives d = z + 22.\n2. Substitute z = f + 4 to d, which gives d = f + 26.\n3. Substitute f = b + 3 to d, which gives d = b + 29.\n4. Substitute b = x + 5 to d, which gives d = x + 34.\n5. Substitute x = t + 15 to d, which gives d = t + 49.\n6. Substitute t = 1 to d, which gives d = 50.\n\nThus, the final answer is d = \\boxed{50}.",
"index": 17088,
"question": "Suppose a collection of variables is related by the following definitions: y = v + 13; f = b + 3; p = o + 13; z = f + 4; b = x + 5; m = l + 12; o = m + 16; v = p + 18; u = z + 11; t = 1; x = t + 15; l = t + 6; d = u + 11. Given that t = 1, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"w": "r + 9", "x": "w + 19", "c": "x + 20", "t": "c + 7", "z": "t + 4", "l": "z + 4", "p": "r + 19", "i": "p + 19", "y": "i + 15", "h": "y + 11", "a": "h + 8", "s": "a + 16", "r": 19}, "premises": {"r": 19}, "target": "l"}, "answer": {"steps": [["z", "t + 4", "t + 8"], ["t", "c + 7", "c + 15"], ["c", "x + 20", "x + 35"], ["x", "w + 19", "w + 54"], ["w", "r + 9", "r + 63"], ["r", 19, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"r": 19}, "is_reverse": true}} | 17,089 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = h + 8; p = r + 19; z = t + 4; t = c + 7; c = x + 20; w = r + 9; y = i + 15; h = y + 11; x = w + 19; i = p + 19; s = a + 16; r = 19; l = z + 4. If r = 19, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 4 to l, which gives l = t + 8.\n2. Substitute t = c + 7 to l, which gives l = c + 15.\n3. Substitute c = x + 20 to l, which gives l = x + 35.\n4. Substitute x = w + 19 to l, which gives l = w + 54.\n5. Substitute w = r + 9 to l, which gives l = r + 63.\n6. Substitute r = 19 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 17089,
"question": "Consider a system of variables where each variable is defined as follows: a = h + 8; p = r + 19; z = t + 4; t = c + 7; c = x + 20; w = r + 9; y = i + 15; h = y + 11; x = w + 19; i = p + 19; s = a + 16; r = 19; l = z + 4. If r = 19, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"n": "i + 2", "f": "n + 1", "o": "f + 1", "x": "o + 2", "j": "x + 19", "s": "j + 2", "h": "i + 13", "p": "h + 7", "b": "p + 14", "l": "b + 20", "t": "l + 4", "e": "t + 17", "i": 17}, "premises": {"i": 17}, "target": "s"}, "answer": {"steps": [["j", "x + 19", "x + 21"], ["x", "o + 2", "o + 23"], ["o", "f + 1", "f + 24"], ["f", "n + 1", "n + 25"], ["n", "i + 2", "i + 27"], ["i", 17, "44"]], "target_var_name": "s", "target_value": 44, "value_dict": {"i": 17}, "is_reverse": true}} | 17,090 | 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 = o + 2; o = f + 1; i = 17; j = x + 19; b = p + 14; f = n + 1; n = i + 2; t = l + 4; s = j + 2; p = h + 7; e = t + 17; h = i + 13; l = b + 20. If i = 17, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 19 to s, which gives s = x + 21.\n2. Substitute x = o + 2 to s, which gives s = o + 23.\n3. Substitute o = f + 1 to s, which gives s = f + 24.\n4. Substitute f = n + 1 to s, which gives s = n + 25.\n5. Substitute n = i + 2 to s, which gives s = i + 27.\n6. Substitute i = 17 to s, which gives s = 44.\n\nThus, the final answer is s = \\boxed{44}.",
"index": 17090,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 2; o = f + 1; i = 17; j = x + 19; b = p + 14; f = n + 1; n = i + 2; t = l + 4; s = j + 2; p = h + 7; e = t + 17; h = i + 13; l = b + 20. If i = 17, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 16", "b": "i + 8", "z": "b + 2", "o": "z + 7", "m": "o + 16", "r": "m + 10", "e": "s + 16", "h": "e + 4", "g": "h + 14", "u": "g + 5", "d": "u + 16", "v": "d + 16", "s": 16}, "premises": {"s": 16}, "target": "r"}, "answer": {"steps": [["m", "o + 16", "o + 26"], ["o", "z + 7", "z + 33"], ["z", "b + 2", "b + 35"], ["b", "i + 8", "i + 43"], ["i", "s + 16", "s + 59"], ["s", 16, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"s": 16}, "is_reverse": true}} | 17,091 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 2; v = d + 16; h = e + 4; m = o + 16; s = 16; g = h + 14; r = m + 10; u = g + 5; d = u + 16; b = i + 8; o = z + 7; i = s + 16; e = s + 16. Given that s = 16, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 16 to r, which gives r = o + 26.\n2. Substitute o = z + 7 to r, which gives r = z + 33.\n3. Substitute z = b + 2 to r, which gives r = b + 35.\n4. Substitute b = i + 8 to r, which gives r = i + 43.\n5. Substitute i = s + 16 to r, which gives r = s + 59.\n6. Substitute s = 16 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 17091,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 2; v = d + 16; h = e + 4; m = o + 16; s = 16; g = h + 14; r = m + 10; u = g + 5; d = u + 16; b = i + 8; o = z + 7; i = s + 16; e = s + 16. Given that s = 16, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 5", "o": "m + 17", "t": "o + 12", "x": "t + 16", "r": "x + 7", "z": "r + 8", "y": "i + 14", "a": "y + 8", "n": "a + 19", "p": "n + 14", "d": "p + 14", "k": "d + 1", "i": 5}, "premises": {"i": 5}, "target": "z"}, "answer": {"steps": [["r", "x + 7", "x + 15"], ["x", "t + 16", "t + 31"], ["t", "o + 12", "o + 43"], ["o", "m + 17", "m + 60"], ["m", "i + 5", "i + 65"], ["i", 5, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"i": 5}, "is_reverse": true}} | 17,092 | 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 = i + 5; r = x + 7; x = t + 16; i = 5; y = i + 14; p = n + 14; a = y + 8; o = m + 17; t = o + 12; k = d + 1; n = a + 19; z = r + 8; d = p + 14. If i = 5, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 7 to z, which gives z = x + 15.\n2. Substitute x = t + 16 to z, which gives z = t + 31.\n3. Substitute t = o + 12 to z, which gives z = o + 43.\n4. Substitute o = m + 17 to z, which gives z = m + 60.\n5. Substitute m = i + 5 to z, which gives z = i + 65.\n6. Substitute i = 5 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 17092,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = i + 5; r = x + 7; x = t + 16; i = 5; y = i + 14; p = n + 14; a = y + 8; o = m + 17; t = o + 12; k = d + 1; n = a + 19; z = r + 8; d = p + 14. If i = 5, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 13", "g": "h + 13", "i": "g + 4", "y": "i + 8", "a": "y + 12", "s": "a + 6", "d": "z + 8", "f": "d + 9", "w": "f + 19", "v": "w + 15", "m": "v + 15", "q": "m + 12", "z": 19}, "premises": {"z": 19}, "target": "s"}, "answer": {"steps": [["a", "y + 12", "y + 18"], ["y", "i + 8", "i + 26"], ["i", "g + 4", "g + 30"], ["g", "h + 13", "h + 43"], ["h", "z + 13", "z + 56"], ["z", 19, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"z": 19}, "is_reverse": true}} | 17,093 | 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 = i + 8; h = z + 13; g = h + 13; z = 19; v = w + 15; d = z + 8; s = a + 6; m = v + 15; q = m + 12; f = d + 9; i = g + 4; a = y + 12; w = f + 19. If z = 19, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 12 to s, which gives s = y + 18.\n2. Substitute y = i + 8 to s, which gives s = i + 26.\n3. Substitute i = g + 4 to s, which gives s = g + 30.\n4. Substitute g = h + 13 to s, which gives s = h + 43.\n5. Substitute h = z + 13 to s, which gives s = z + 56.\n6. Substitute z = 19 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 17093,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = i + 8; h = z + 13; g = h + 13; z = 19; v = w + 15; d = z + 8; s = a + 6; m = v + 15; q = m + 12; f = d + 9; i = g + 4; a = y + 12; w = f + 19. If z = 19, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 10", "y": "o + 16", "f": "y + 1", "c": "f + 1", "k": "c + 19", "w": "k + 14", "x": "m + 3", "r": "x + 14", "i": "r + 10", "j": "i + 7", "n": "j + 3", "l": "n + 6", "m": 11}, "premises": {"m": 11}, "target": "w"}, "answer": {"steps": [["k", "c + 19", "c + 33"], ["c", "f + 1", "f + 34"], ["f", "y + 1", "y + 35"], ["y", "o + 16", "o + 51"], ["o", "m + 10", "m + 61"], ["m", 11, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"m": 11}, "is_reverse": true}} | 17,094 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = j + 3; i = r + 10; y = o + 16; o = m + 10; l = n + 6; x = m + 3; w = k + 14; f = y + 1; m = 11; j = i + 7; c = f + 1; r = x + 14; k = c + 19. Given that m = 11, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 19 to w, which gives w = c + 33.\n2. Substitute c = f + 1 to w, which gives w = f + 34.\n3. Substitute f = y + 1 to w, which gives w = y + 35.\n4. Substitute y = o + 16 to w, which gives w = o + 51.\n5. Substitute o = m + 10 to w, which gives w = m + 61.\n6. Substitute m = 11 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 17094,
"question": "Suppose a collection of variables is related by the following definitions: n = j + 3; i = r + 10; y = o + 16; o = m + 10; l = n + 6; x = m + 3; w = k + 14; f = y + 1; m = 11; j = i + 7; c = f + 1; r = x + 14; k = c + 19. Given that m = 11, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 17", "w": "g + 4", "r": "w + 8", "t": "r + 18", "j": "t + 15", "q": "j + 5", "d": "c + 14", "b": "d + 9", "n": "b + 4", "a": "n + 17", "y": "a + 6", "e": "y + 5", "c": 2}, "premises": {"c": 2}, "target": "q"}, "answer": {"steps": [["j", "t + 15", "t + 20"], ["t", "r + 18", "r + 38"], ["r", "w + 8", "w + 46"], ["w", "g + 4", "g + 50"], ["g", "c + 17", "c + 67"], ["c", 2, "69"]], "target_var_name": "q", "target_value": 69, "value_dict": {"c": 2}, "is_reverse": true}} | 17,095 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = y + 5; a = n + 17; n = b + 4; j = t + 15; w = g + 4; b = d + 9; r = w + 8; t = r + 18; c = 2; q = j + 5; d = c + 14; y = a + 6; g = c + 17. If c = 2, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 15 to q, which gives q = t + 20.\n2. Substitute t = r + 18 to q, which gives q = r + 38.\n3. Substitute r = w + 8 to q, which gives q = w + 46.\n4. Substitute w = g + 4 to q, which gives q = g + 50.\n5. Substitute g = c + 17 to q, which gives q = c + 67.\n6. Substitute c = 2 to q, which gives q = 69.\n\nThus, the final answer is q = \\boxed{69}.",
"index": 17095,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = y + 5; a = n + 17; n = b + 4; j = t + 15; w = g + 4; b = d + 9; r = w + 8; t = r + 18; c = 2; q = j + 5; d = c + 14; y = a + 6; g = c + 17. If c = 2, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 12", "h": "q + 11", "f": "h + 16", "r": "f + 20", "g": "r + 5", "t": "g + 10", "a": "s + 3", "o": "a + 13", "d": "o + 1", "j": "d + 13", "u": "j + 8", "v": "u + 8", "s": 7}, "premises": {"s": 7}, "target": "t"}, "answer": {"steps": [["g", "r + 5", "r + 15"], ["r", "f + 20", "f + 35"], ["f", "h + 16", "h + 51"], ["h", "q + 11", "q + 62"], ["q", "s + 12", "s + 74"], ["s", 7, "81"]], "target_var_name": "t", "target_value": 81, "value_dict": {"s": 7}, "is_reverse": true}} | 17,096 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = s + 3; u = j + 8; v = u + 8; q = s + 12; o = a + 13; t = g + 10; s = 7; g = r + 5; d = o + 1; r = f + 20; h = q + 11; f = h + 16; j = d + 13. If s = 7, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 5 to t, which gives t = r + 15.\n2. Substitute r = f + 20 to t, which gives t = f + 35.\n3. Substitute f = h + 16 to t, which gives t = h + 51.\n4. Substitute h = q + 11 to t, which gives t = q + 62.\n5. Substitute q = s + 12 to t, which gives t = s + 74.\n6. Substitute s = 7 to t, which gives t = 81.\n\nThus, the final answer is t = \\boxed{81}.",
"index": 17096,
"question": "Consider a system of variables where each variable is defined as follows: a = s + 3; u = j + 8; v = u + 8; q = s + 12; o = a + 13; t = g + 10; s = 7; g = r + 5; d = o + 1; r = f + 20; h = q + 11; f = h + 16; j = d + 13. If s = 7, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 14", "z": "j + 19", "w": "z + 10", "m": "w + 20", "y": "m + 13", "c": "y + 15", "f": "i + 1", "s": "f + 12", "r": "s + 13", "q": "r + 13", "u": "q + 8", "v": "u + 16", "i": 13}, "premises": {"i": 13}, "target": "c"}, "answer": {"steps": [["y", "m + 13", "m + 28"], ["m", "w + 20", "w + 48"], ["w", "z + 10", "z + 58"], ["z", "j + 19", "j + 77"], ["j", "i + 14", "i + 91"], ["i", 13, "104"]], "target_var_name": "c", "target_value": 104, "value_dict": {"i": 13}, "is_reverse": true}} | 17,097 | 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 = y + 15; m = w + 20; r = s + 13; i = 13; w = z + 10; y = m + 13; q = r + 13; v = u + 16; u = q + 8; z = j + 19; s = f + 12; f = i + 1; j = i + 14. If i = 13, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 13 to c, which gives c = m + 28.\n2. Substitute m = w + 20 to c, which gives c = w + 48.\n3. Substitute w = z + 10 to c, which gives c = z + 58.\n4. Substitute z = j + 19 to c, which gives c = j + 77.\n5. Substitute j = i + 14 to c, which gives c = i + 91.\n6. Substitute i = 13 to c, which gives c = 104.\n\nThus, the final answer is c = \\boxed{104}.",
"index": 17097,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = y + 15; m = w + 20; r = s + 13; i = 13; w = z + 10; y = m + 13; q = r + 13; v = u + 16; u = q + 8; z = j + 19; s = f + 12; f = i + 1; j = i + 14. If i = 13, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 7", "v": "p + 20", "u": "v + 9", "y": "u + 18", "x": "y + 11", "f": "x + 10", "r": "g + 13", "k": "r + 13", "l": "k + 3", "j": "l + 12", "z": "j + 10", "a": "z + 3", "g": 18}, "premises": {"g": 18}, "target": "f"}, "answer": {"steps": [["x", "y + 11", "y + 21"], ["y", "u + 18", "u + 39"], ["u", "v + 9", "v + 48"], ["v", "p + 20", "p + 68"], ["p", "g + 7", "g + 75"], ["g", 18, "93"]], "target_var_name": "f", "target_value": 93, "value_dict": {"g": 18}, "is_reverse": true}} | 17,098 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = x + 10; z = j + 10; l = k + 3; p = g + 7; k = r + 13; r = g + 13; j = l + 12; v = p + 20; a = z + 3; y = u + 18; g = 18; x = y + 11; u = v + 9. Given that g = 18, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 11 to f, which gives f = y + 21.\n2. Substitute y = u + 18 to f, which gives f = u + 39.\n3. Substitute u = v + 9 to f, which gives f = v + 48.\n4. Substitute v = p + 20 to f, which gives f = p + 68.\n5. Substitute p = g + 7 to f, which gives f = g + 75.\n6. Substitute g = 18 to f, which gives f = 93.\n\nThus, the final answer is f = \\boxed{93}.",
"index": 17098,
"question": "Suppose a collection of variables is related by the following definitions: f = x + 10; z = j + 10; l = k + 3; p = g + 7; k = r + 13; r = g + 13; j = l + 12; v = p + 20; a = z + 3; y = u + 18; g = 18; x = y + 11; u = v + 9. Given that g = 18, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 17", "u": "k + 6", "a": "u + 13", "b": "a + 5", "g": "b + 4", "m": "g + 20", "w": "e + 13", "p": "w + 18", "d": "p + 12", "q": "d + 8", "v": "q + 2", "c": "v + 12", "e": 5}, "premises": {"e": 5}, "target": "m"}, "answer": {"steps": [["g", "b + 4", "b + 24"], ["b", "a + 5", "a + 29"], ["a", "u + 13", "u + 42"], ["u", "k + 6", "k + 48"], ["k", "e + 17", "e + 65"], ["e", 5, "70"]], "target_var_name": "m", "target_value": 70, "value_dict": {"e": 5}, "is_reverse": true}} | 17,099 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = e + 17; p = w + 18; b = a + 5; g = b + 4; d = p + 12; q = d + 8; w = e + 13; c = v + 12; u = k + 6; v = q + 2; e = 5; m = g + 20; a = u + 13. Given that e = 5, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 4 to m, which gives m = b + 24.\n2. Substitute b = a + 5 to m, which gives m = a + 29.\n3. Substitute a = u + 13 to m, which gives m = u + 42.\n4. Substitute u = k + 6 to m, which gives m = k + 48.\n5. Substitute k = e + 17 to m, which gives m = e + 65.\n6. Substitute e = 5 to m, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 17099,
"question": "Suppose a collection of variables is related by the following definitions: k = e + 17; p = w + 18; b = a + 5; g = b + 4; d = p + 12; q = d + 8; w = e + 13; c = v + 12; u = k + 6; v = q + 2; e = 5; m = g + 20; a = u + 13. Given that e = 5, find the value of m.",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.