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": "o + 6", "u": "i + 11", "j": "u + 7", "v": "j + 3", "z": "v + 3", "q": "z + 2", "n": "o + 15", "l": "n + 10", "t": "l + 20", "b": "t + 7", "f": "b + 14", "c": "f + 20", "o": 10}, "premises": {"o": 10}, "target": "q"}, "answer": {"steps": [["z", "v + 3", "v + 5"], ["v", "j + 3", "j + 8"], ["j", "u + 7", "u + 15"], ["u", "i + 11", "i + 26"], ["i", "o + 6", "o + 32"], ["o", 10, "42"]], "target_var_name": "q", "target_value": 42, "value_dict": {"o": 10}, "is_reverse": true}} | 12,000 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = f + 20; t = l + 20; l = n + 10; u = i + 11; q = z + 2; v = j + 3; j = u + 7; f = b + 14; b = t + 7; i = o + 6; o = 10; z = v + 3; n = o + 15. Given that o = 10, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 3 to q, which gives q = v + 5.\n2. Substitute v = j + 3 to q, which gives q = j + 8.\n3. Substitute j = u + 7 to q, which gives q = u + 15.\n4. Substitute u = i + 11 to q, which gives q = i + 26.\n5. Substitute i = o + 6 to q, which gives q = o + 32.\n6. Substitute o = 10 to q, which gives q = 42.\n\nThus, the final answer is q = \\boxed{42}.",
"index": 12000,
"question": "Suppose a collection of variables is related by the following definitions: c = f + 20; t = l + 20; l = n + 10; u = i + 11; q = z + 2; v = j + 3; j = u + 7; f = b + 14; b = t + 7; i = o + 6; o = 10; z = v + 3; n = o + 15. Given that o = 10, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"s": "i + 5", "h": "s + 12", "r": "h + 10", "y": "r + 3", "t": "y + 8", "a": "t + 14", "k": "i + 18", "b": "k + 6", "x": "b + 17", "q": "x + 12", "v": "q + 11", "f": "v + 8", "i": 4}, "premises": {"i": 4}, "target": "a"}, "answer": {"steps": [["t", "y + 8", "y + 22"], ["y", "r + 3", "r + 25"], ["r", "h + 10", "h + 35"], ["h", "s + 12", "s + 47"], ["s", "i + 5", "i + 52"], ["i", 4, "56"]], "target_var_name": "a", "target_value": 56, "value_dict": {"i": 4}, "is_reverse": true}} | 12,001 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = r + 3; s = i + 5; a = t + 14; h = s + 12; t = y + 8; i = 4; f = v + 8; r = h + 10; b = k + 6; x = b + 17; q = x + 12; k = i + 18; v = q + 11. If i = 4, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 8 to a, which gives a = y + 22.\n2. Substitute y = r + 3 to a, which gives a = r + 25.\n3. Substitute r = h + 10 to a, which gives a = h + 35.\n4. Substitute h = s + 12 to a, which gives a = s + 47.\n5. Substitute s = i + 5 to a, which gives a = i + 52.\n6. Substitute i = 4 to a, which gives a = 56.\n\nThus, the final answer is a = \\boxed{56}.",
"index": 12001,
"question": "Consider a system of variables where each variable is defined as follows: y = r + 3; s = i + 5; a = t + 14; h = s + 12; t = y + 8; i = 4; f = v + 8; r = h + 10; b = k + 6; x = b + 17; q = x + 12; k = i + 18; v = q + 11. If i = 4, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 10", "y": "c + 7", "g": "y + 1", "d": "g + 14", "a": "d + 6", "v": "a + 18", "k": "l + 15", "e": "k + 14", "x": "e + 19", "s": "x + 5", "u": "s + 17", "p": "u + 16", "l": 16}, "premises": {"l": 16}, "target": "v"}, "answer": {"steps": [["a", "d + 6", "d + 24"], ["d", "g + 14", "g + 38"], ["g", "y + 1", "y + 39"], ["y", "c + 7", "c + 46"], ["c", "l + 10", "l + 56"], ["l", 16, "72"]], "target_var_name": "v", "target_value": 72, "value_dict": {"l": 16}, "is_reverse": true}} | 12,002 | 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 = u + 16; s = x + 5; u = s + 17; l = 16; y = c + 7; g = y + 1; d = g + 14; k = l + 15; v = a + 18; e = k + 14; c = l + 10; x = e + 19; a = d + 6. If l = 16, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 6 to v, which gives v = d + 24.\n2. Substitute d = g + 14 to v, which gives v = g + 38.\n3. Substitute g = y + 1 to v, which gives v = y + 39.\n4. Substitute y = c + 7 to v, which gives v = c + 46.\n5. Substitute c = l + 10 to v, which gives v = l + 56.\n6. Substitute l = 16 to v, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 12002,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 16; s = x + 5; u = s + 17; l = 16; y = c + 7; g = y + 1; d = g + 14; k = l + 15; v = a + 18; e = k + 14; c = l + 10; x = e + 19; a = d + 6. If l = 16, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 10", "c": "z + 18", "n": "c + 3", "l": "n + 18", "e": "l + 13", "p": "e + 5", "a": "y + 20", "v": "a + 13", "s": "v + 14", "b": "s + 3", "h": "b + 19", "w": "h + 1", "y": 19}, "premises": {"y": 19}, "target": "p"}, "answer": {"steps": [["e", "l + 13", "l + 18"], ["l", "n + 18", "n + 36"], ["n", "c + 3", "c + 39"], ["c", "z + 18", "z + 57"], ["z", "y + 10", "y + 67"], ["y", 19, "86"]], "target_var_name": "p", "target_value": 86, "value_dict": {"y": 19}, "is_reverse": true}} | 12,003 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = e + 5; v = a + 13; n = c + 3; w = h + 1; h = b + 19; y = 19; l = n + 18; s = v + 14; z = y + 10; a = y + 20; e = l + 13; b = s + 3; c = z + 18. If y = 19, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 13 to p, which gives p = l + 18.\n2. Substitute l = n + 18 to p, which gives p = n + 36.\n3. Substitute n = c + 3 to p, which gives p = c + 39.\n4. Substitute c = z + 18 to p, which gives p = z + 57.\n5. Substitute z = y + 10 to p, which gives p = y + 67.\n6. Substitute y = 19 to p, which gives p = 86.\n\nThus, the final answer is p = \\boxed{86}.",
"index": 12003,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = e + 5; v = a + 13; n = c + 3; w = h + 1; h = b + 19; y = 19; l = n + 18; s = v + 14; z = y + 10; a = y + 20; e = l + 13; b = s + 3; c = z + 18. If y = 19, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"y": "w + 11", "v": "y + 7", "n": "v + 7", "l": "n + 3", "u": "l + 4", "i": "u + 18", "j": "w + 8", "d": "j + 8", "e": "d + 20", "x": "e + 1", "m": "x + 12", "q": "m + 19", "w": 17}, "premises": {"w": 17}, "target": "i"}, "answer": {"steps": [["u", "l + 4", "l + 22"], ["l", "n + 3", "n + 25"], ["n", "v + 7", "v + 32"], ["v", "y + 7", "y + 39"], ["y", "w + 11", "w + 50"], ["w", 17, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"w": 17}, "is_reverse": true}} | 12,004 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = u + 18; w = 17; m = x + 12; d = j + 8; x = e + 1; v = y + 7; j = w + 8; l = n + 3; y = w + 11; q = m + 19; n = v + 7; e = d + 20; u = l + 4. Given that w = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 4 to i, which gives i = l + 22.\n2. Substitute l = n + 3 to i, which gives i = n + 25.\n3. Substitute n = v + 7 to i, which gives i = v + 32.\n4. Substitute v = y + 7 to i, which gives i = y + 39.\n5. Substitute y = w + 11 to i, which gives i = w + 50.\n6. Substitute w = 17 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 12004,
"question": "Suppose a collection of variables is related by the following definitions: i = u + 18; w = 17; m = x + 12; d = j + 8; x = e + 1; v = y + 7; j = w + 8; l = n + 3; y = w + 11; q = m + 19; n = v + 7; e = d + 20; u = l + 4. Given that w = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 9", "p": "y + 18", "x": "p + 7", "b": "x + 17", "d": "b + 8", "a": "d + 16", "l": "j + 19", "r": "l + 2", "n": "r + 6", "k": "n + 7", "t": "k + 16", "w": "t + 1", "j": 20}, "premises": {"j": 20}, "target": "a"}, "answer": {"steps": [["d", "b + 8", "b + 24"], ["b", "x + 17", "x + 41"], ["x", "p + 7", "p + 48"], ["p", "y + 18", "y + 66"], ["y", "j + 9", "j + 75"], ["j", 20, "95"]], "target_var_name": "a", "target_value": 95, "value_dict": {"j": 20}, "is_reverse": true}} | 12,005 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 20; n = r + 6; l = j + 19; b = x + 17; a = d + 16; y = j + 9; t = k + 16; x = p + 7; k = n + 7; r = l + 2; d = b + 8; w = t + 1; p = y + 18. Given that j = 20, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 8 to a, which gives a = b + 24.\n2. Substitute b = x + 17 to a, which gives a = x + 41.\n3. Substitute x = p + 7 to a, which gives a = p + 48.\n4. Substitute p = y + 18 to a, which gives a = y + 66.\n5. Substitute y = j + 9 to a, which gives a = j + 75.\n6. Substitute j = 20 to a, which gives a = 95.\n\nThus, the final answer is a = \\boxed{95}.",
"index": 12005,
"question": "Suppose a collection of variables is related by the following definitions: j = 20; n = r + 6; l = j + 19; b = x + 17; a = d + 16; y = j + 9; t = k + 16; x = p + 7; k = n + 7; r = l + 2; d = b + 8; w = t + 1; p = y + 18. Given that j = 20, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 3", "d": "r + 12", "s": "d + 15", "q": "s + 18", "m": "q + 14", "j": "m + 6", "c": "o + 8", "b": "c + 10", "u": "b + 14", "y": "u + 17", "e": "y + 18", "f": "e + 2", "o": 15}, "premises": {"o": 15}, "target": "j"}, "answer": {"steps": [["m", "q + 14", "q + 20"], ["q", "s + 18", "s + 38"], ["s", "d + 15", "d + 53"], ["d", "r + 12", "r + 65"], ["r", "o + 3", "o + 68"], ["o", 15, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"o": 15}, "is_reverse": true}} | 12,006 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = o + 3; b = c + 10; o = 15; j = m + 6; s = d + 15; u = b + 14; c = o + 8; q = s + 18; f = e + 2; y = u + 17; m = q + 14; e = y + 18; d = r + 12. Given that o = 15, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 14 to j, which gives j = q + 20.\n2. Substitute q = s + 18 to j, which gives j = s + 38.\n3. Substitute s = d + 15 to j, which gives j = d + 53.\n4. Substitute d = r + 12 to j, which gives j = r + 65.\n5. Substitute r = o + 3 to j, which gives j = o + 68.\n6. Substitute o = 15 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 12006,
"question": "Suppose a collection of variables is related by the following definitions: r = o + 3; b = c + 10; o = 15; j = m + 6; s = d + 15; u = b + 14; c = o + 8; q = s + 18; f = e + 2; y = u + 17; m = q + 14; e = y + 18; d = r + 12. Given that o = 15, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 12", "b": "f + 9", "m": "b + 6", "a": "m + 18", "o": "a + 17", "j": "o + 18", "w": "n + 3", "q": "w + 20", "g": "q + 4", "d": "g + 13", "p": "d + 8", "l": "p + 6", "n": 2}, "premises": {"n": 2}, "target": "j"}, "answer": {"steps": [["o", "a + 17", "a + 35"], ["a", "m + 18", "m + 53"], ["m", "b + 6", "b + 59"], ["b", "f + 9", "f + 68"], ["f", "n + 12", "n + 80"], ["n", 2, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"n": 2}, "is_reverse": true}} | 12,007 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 9; a = m + 18; f = n + 12; j = o + 18; q = w + 20; l = p + 6; w = n + 3; g = q + 4; o = a + 17; d = g + 13; n = 2; m = b + 6; p = d + 8. Given that n = 2, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = a + 17 to j, which gives j = a + 35.\n2. Substitute a = m + 18 to j, which gives j = m + 53.\n3. Substitute m = b + 6 to j, which gives j = b + 59.\n4. Substitute b = f + 9 to j, which gives j = f + 68.\n5. Substitute f = n + 12 to j, which gives j = n + 80.\n6. Substitute n = 2 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 12007,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 9; a = m + 18; f = n + 12; j = o + 18; q = w + 20; l = p + 6; w = n + 3; g = q + 4; o = a + 17; d = g + 13; n = 2; m = b + 6; p = d + 8. Given that n = 2, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 12", "d": "m + 20", "i": "d + 16", "v": "i + 11", "b": "v + 5", "n": "b + 5", "p": "e + 15", "j": "p + 7", "u": "j + 8", "l": "u + 10", "s": "l + 12", "r": "s + 6", "e": 20}, "premises": {"e": 20}, "target": "n"}, "answer": {"steps": [["b", "v + 5", "v + 10"], ["v", "i + 11", "i + 21"], ["i", "d + 16", "d + 37"], ["d", "m + 20", "m + 57"], ["m", "e + 12", "e + 69"], ["e", 20, "89"]], "target_var_name": "n", "target_value": 89, "value_dict": {"e": 20}, "is_reverse": true}} | 12,008 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = p + 7; l = u + 10; s = l + 12; m = e + 12; r = s + 6; u = j + 8; e = 20; i = d + 16; n = b + 5; b = v + 5; v = i + 11; p = e + 15; d = m + 20. If e = 20, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 5 to n, which gives n = v + 10.\n2. Substitute v = i + 11 to n, which gives n = i + 21.\n3. Substitute i = d + 16 to n, which gives n = d + 37.\n4. Substitute d = m + 20 to n, which gives n = m + 57.\n5. Substitute m = e + 12 to n, which gives n = e + 69.\n6. Substitute e = 20 to n, which gives n = 89.\n\nThus, the final answer is n = \\boxed{89}.",
"index": 12008,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = p + 7; l = u + 10; s = l + 12; m = e + 12; r = s + 6; u = j + 8; e = 20; i = d + 16; n = b + 5; b = v + 5; v = i + 11; p = e + 15; d = m + 20. If e = 20, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"i": "j + 18", "n": "i + 13", "r": "n + 14", "b": "r + 10", "u": "b + 16", "o": "u + 15", "e": "j + 17", "h": "e + 8", "x": "h + 9", "l": "x + 4", "f": "l + 16", "y": "f + 13", "j": 8}, "premises": {"j": 8}, "target": "o"}, "answer": {"steps": [["u", "b + 16", "b + 31"], ["b", "r + 10", "r + 41"], ["r", "n + 14", "n + 55"], ["n", "i + 13", "i + 68"], ["i", "j + 18", "j + 86"], ["j", 8, "94"]], "target_var_name": "o", "target_value": 94, "value_dict": {"j": 8}, "is_reverse": true}} | 12,009 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = f + 13; j = 8; r = n + 14; l = x + 4; n = i + 13; f = l + 16; x = h + 9; o = u + 15; e = j + 17; u = b + 16; i = j + 18; h = e + 8; b = r + 10. If j = 8, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 16 to o, which gives o = b + 31.\n2. Substitute b = r + 10 to o, which gives o = r + 41.\n3. Substitute r = n + 14 to o, which gives o = n + 55.\n4. Substitute n = i + 13 to o, which gives o = i + 68.\n5. Substitute i = j + 18 to o, which gives o = j + 86.\n6. Substitute j = 8 to o, which gives o = 94.\n\nThus, the final answer is o = \\boxed{94}.",
"index": 12009,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = f + 13; j = 8; r = n + 14; l = x + 4; n = i + 13; f = l + 16; x = h + 9; o = u + 15; e = j + 17; u = b + 16; i = j + 18; h = e + 8; b = r + 10. If j = 8, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 6", "n": "p + 11", "l": "n + 4", "e": "l + 9", "j": "e + 14", "x": "j + 19", "v": "i + 11", "d": "v + 5", "a": "d + 4", "z": "a + 2", "k": "z + 12", "o": "k + 1", "i": 17}, "premises": {"i": 17}, "target": "x"}, "answer": {"steps": [["j", "e + 14", "e + 33"], ["e", "l + 9", "l + 42"], ["l", "n + 4", "n + 46"], ["n", "p + 11", "p + 57"], ["p", "i + 6", "i + 63"], ["i", 17, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"i": 17}, "is_reverse": true}} | 12,010 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = l + 9; z = a + 2; d = v + 5; v = i + 11; k = z + 12; n = p + 11; j = e + 14; l = n + 4; o = k + 1; i = 17; p = i + 6; a = d + 4; x = j + 19. Given that i = 17, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 14 to x, which gives x = e + 33.\n2. Substitute e = l + 9 to x, which gives x = l + 42.\n3. Substitute l = n + 4 to x, which gives x = n + 46.\n4. Substitute n = p + 11 to x, which gives x = p + 57.\n5. Substitute p = i + 6 to x, which gives x = i + 63.\n6. Substitute i = 17 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 12010,
"question": "Suppose a collection of variables is related by the following definitions: e = l + 9; z = a + 2; d = v + 5; v = i + 11; k = z + 12; n = p + 11; j = e + 14; l = n + 4; o = k + 1; i = 17; p = i + 6; a = d + 4; x = j + 19. Given that i = 17, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 13", "w": "i + 16", "s": "w + 16", "z": "s + 9", "k": "z + 20", "b": "k + 17", "n": "y + 20", "m": "n + 3", "t": "m + 16", "h": "t + 9", "d": "h + 18", "p": "d + 13", "y": 6}, "premises": {"y": 6}, "target": "b"}, "answer": {"steps": [["k", "z + 20", "z + 37"], ["z", "s + 9", "s + 46"], ["s", "w + 16", "w + 62"], ["w", "i + 16", "i + 78"], ["i", "y + 13", "y + 91"], ["y", 6, "97"]], "target_var_name": "b", "target_value": 97, "value_dict": {"y": 6}, "is_reverse": true}} | 12,011 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = s + 9; k = z + 20; w = i + 16; n = y + 20; h = t + 9; s = w + 16; t = m + 16; p = d + 13; y = 6; m = n + 3; d = h + 18; i = y + 13; b = k + 17. If y = 6, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 20 to b, which gives b = z + 37.\n2. Substitute z = s + 9 to b, which gives b = s + 46.\n3. Substitute s = w + 16 to b, which gives b = w + 62.\n4. Substitute w = i + 16 to b, which gives b = i + 78.\n5. Substitute i = y + 13 to b, which gives b = y + 91.\n6. Substitute y = 6 to b, which gives b = 97.\n\nThus, the final answer is b = \\boxed{97}.",
"index": 12011,
"question": "Consider a system of variables where each variable is defined as follows: z = s + 9; k = z + 20; w = i + 16; n = y + 20; h = t + 9; s = w + 16; t = m + 16; p = d + 13; y = 6; m = n + 3; d = h + 18; i = y + 13; b = k + 17. If y = 6, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 11", "o": "t + 9", "b": "o + 10", "r": "b + 6", "s": "r + 20", "g": "s + 2", "d": "m + 12", "e": "d + 9", "c": "e + 3", "i": "c + 16", "v": "i + 12", "y": "v + 8", "m": 6}, "premises": {"m": 6}, "target": "g"}, "answer": {"steps": [["s", "r + 20", "r + 22"], ["r", "b + 6", "b + 28"], ["b", "o + 10", "o + 38"], ["o", "t + 9", "t + 47"], ["t", "m + 11", "m + 58"], ["m", 6, "64"]], "target_var_name": "g", "target_value": 64, "value_dict": {"m": 6}, "is_reverse": true}} | 12,012 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = e + 3; r = b + 6; t = m + 11; s = r + 20; i = c + 16; o = t + 9; v = i + 12; d = m + 12; g = s + 2; y = v + 8; e = d + 9; m = 6; b = o + 10. If m = 6, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 20 to g, which gives g = r + 22.\n2. Substitute r = b + 6 to g, which gives g = b + 28.\n3. Substitute b = o + 10 to g, which gives g = o + 38.\n4. Substitute o = t + 9 to g, which gives g = t + 47.\n5. Substitute t = m + 11 to g, which gives g = m + 58.\n6. Substitute m = 6 to g, which gives g = 64.\n\nThus, the final answer is g = \\boxed{64}.",
"index": 12012,
"question": "Consider a system of variables where each variable is defined as follows: c = e + 3; r = b + 6; t = m + 11; s = r + 20; i = c + 16; o = t + 9; v = i + 12; d = m + 12; g = s + 2; y = v + 8; e = d + 9; m = 6; b = o + 10. If m = 6, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 19", "x": "f + 13", "h": "x + 20", "z": "h + 15", "r": "z + 2", "g": "r + 1", "j": "c + 10", "u": "j + 10", "y": "u + 17", "t": "y + 3", "n": "t + 16", "p": "n + 4", "c": 15}, "premises": {"c": 15}, "target": "g"}, "answer": {"steps": [["r", "z + 2", "z + 3"], ["z", "h + 15", "h + 18"], ["h", "x + 20", "x + 38"], ["x", "f + 13", "f + 51"], ["f", "c + 19", "c + 70"], ["c", 15, "85"]], "target_var_name": "g", "target_value": 85, "value_dict": {"c": 15}, "is_reverse": true}} | 12,013 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = h + 15; p = n + 4; g = r + 1; r = z + 2; h = x + 20; f = c + 19; u = j + 10; y = u + 17; x = f + 13; j = c + 10; n = t + 16; c = 15; t = y + 3. Given that c = 15, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 2 to g, which gives g = z + 3.\n2. Substitute z = h + 15 to g, which gives g = h + 18.\n3. Substitute h = x + 20 to g, which gives g = x + 38.\n4. Substitute x = f + 13 to g, which gives g = f + 51.\n5. Substitute f = c + 19 to g, which gives g = c + 70.\n6. Substitute c = 15 to g, which gives g = 85.\n\nThus, the final answer is g = \\boxed{85}.",
"index": 12013,
"question": "Suppose a collection of variables is related by the following definitions: z = h + 15; p = n + 4; g = r + 1; r = z + 2; h = x + 20; f = c + 19; u = j + 10; y = u + 17; x = f + 13; j = c + 10; n = t + 16; c = 15; t = y + 3. Given that c = 15, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 12", "t": "p + 11", "m": "t + 3", "r": "m + 6", "c": "r + 6", "z": "c + 4", "s": "u + 16", "h": "s + 11", "e": "h + 20", "x": "e + 11", "q": "x + 13", "d": "q + 4", "u": 18}, "premises": {"u": 18}, "target": "z"}, "answer": {"steps": [["c", "r + 6", "r + 10"], ["r", "m + 6", "m + 16"], ["m", "t + 3", "t + 19"], ["t", "p + 11", "p + 30"], ["p", "u + 12", "u + 42"], ["u", 18, "60"]], "target_var_name": "z", "target_value": 60, "value_dict": {"u": 18}, "is_reverse": true}} | 12,014 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = t + 3; d = q + 4; p = u + 12; u = 18; c = r + 6; e = h + 20; h = s + 11; q = x + 13; z = c + 4; x = e + 11; r = m + 6; s = u + 16; t = p + 11. Given that u = 18, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 6 to z, which gives z = r + 10.\n2. Substitute r = m + 6 to z, which gives z = m + 16.\n3. Substitute m = t + 3 to z, which gives z = t + 19.\n4. Substitute t = p + 11 to z, which gives z = p + 30.\n5. Substitute p = u + 12 to z, which gives z = u + 42.\n6. Substitute u = 18 to z, which gives z = 60.\n\nThus, the final answer is z = \\boxed{60}.",
"index": 12014,
"question": "Suppose a collection of variables is related by the following definitions: m = t + 3; d = q + 4; p = u + 12; u = 18; c = r + 6; e = h + 20; h = s + 11; q = x + 13; z = c + 4; x = e + 11; r = m + 6; s = u + 16; t = p + 11. Given that u = 18, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"t": "i + 5", "l": "t + 6", "e": "l + 12", "o": "e + 17", "h": "o + 2", "r": "h + 18", "k": "i + 2", "a": "k + 15", "x": "a + 11", "d": "x + 14", "u": "d + 2", "v": "u + 10", "i": 7}, "premises": {"i": 7}, "target": "r"}, "answer": {"steps": [["h", "o + 2", "o + 20"], ["o", "e + 17", "e + 37"], ["e", "l + 12", "l + 49"], ["l", "t + 6", "t + 55"], ["t", "i + 5", "i + 60"], ["i", 7, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"i": 7}, "is_reverse": true}} | 12,015 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = i + 2; u = d + 2; v = u + 10; i = 7; a = k + 15; d = x + 14; x = a + 11; l = t + 6; r = h + 18; e = l + 12; t = i + 5; h = o + 2; o = e + 17. If i = 7, determine 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 h = o + 2 to r, which gives r = o + 20.\n2. Substitute o = e + 17 to r, which gives r = e + 37.\n3. Substitute e = l + 12 to r, which gives r = l + 49.\n4. Substitute l = t + 6 to r, which gives r = t + 55.\n5. Substitute t = i + 5 to r, which gives r = i + 60.\n6. Substitute i = 7 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 12015,
"question": "Consider a system of variables where each variable is defined as follows: k = i + 2; u = d + 2; v = u + 10; i = 7; a = k + 15; d = x + 14; x = a + 11; l = t + 6; r = h + 18; e = l + 12; t = i + 5; h = o + 2; o = e + 17. If i = 7, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"j": "r + 15", "y": "j + 17", "f": "y + 14", "g": "f + 4", "w": "g + 12", "s": "w + 6", "o": "r + 9", "l": "o + 8", "q": "l + 17", "e": "q + 3", "a": "e + 2", "z": "a + 16", "r": 19}, "premises": {"r": 19}, "target": "s"}, "answer": {"steps": [["w", "g + 12", "g + 18"], ["g", "f + 4", "f + 22"], ["f", "y + 14", "y + 36"], ["y", "j + 17", "j + 53"], ["j", "r + 15", "r + 68"], ["r", 19, "87"]], "target_var_name": "s", "target_value": 87, "value_dict": {"r": 19}, "is_reverse": true}} | 12,016 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = y + 14; s = w + 6; a = e + 2; w = g + 12; e = q + 3; g = f + 4; o = r + 9; q = l + 17; z = a + 16; j = r + 15; r = 19; y = j + 17; l = o + 8. If r = 19, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 12 to s, which gives s = g + 18.\n2. Substitute g = f + 4 to s, which gives s = f + 22.\n3. Substitute f = y + 14 to s, which gives s = y + 36.\n4. Substitute y = j + 17 to s, which gives s = j + 53.\n5. Substitute j = r + 15 to s, which gives s = r + 68.\n6. Substitute r = 19 to s, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 12016,
"question": "Consider a system of variables where each variable is defined as follows: f = y + 14; s = w + 6; a = e + 2; w = g + 12; e = q + 3; g = f + 4; o = r + 9; q = l + 17; z = a + 16; j = r + 15; r = 19; y = j + 17; l = o + 8. If r = 19, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"c": "i + 9", "a": "c + 12", "v": "a + 17", "s": "v + 15", "z": "s + 9", "n": "z + 14", "e": "i + 10", "g": "e + 13", "w": "g + 5", "j": "w + 1", "b": "j + 15", "u": "b + 20", "i": 1}, "premises": {"i": 1}, "target": "n"}, "answer": {"steps": [["z", "s + 9", "s + 23"], ["s", "v + 15", "v + 38"], ["v", "a + 17", "a + 55"], ["a", "c + 12", "c + 67"], ["c", "i + 9", "i + 76"], ["i", 1, "77"]], "target_var_name": "n", "target_value": 77, "value_dict": {"i": 1}, "is_reverse": true}} | 12,017 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = a + 17; c = i + 9; s = v + 15; u = b + 20; a = c + 12; i = 1; b = j + 15; j = w + 1; e = i + 10; g = e + 13; w = g + 5; z = s + 9; n = z + 14. Given that i = 1, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 9 to n, which gives n = s + 23.\n2. Substitute s = v + 15 to n, which gives n = v + 38.\n3. Substitute v = a + 17 to n, which gives n = a + 55.\n4. Substitute a = c + 12 to n, which gives n = c + 67.\n5. Substitute c = i + 9 to n, which gives n = i + 76.\n6. Substitute i = 1 to n, which gives n = 77.\n\nThus, the final answer is n = \\boxed{77}.",
"index": 12017,
"question": "Suppose a collection of variables is related by the following definitions: v = a + 17; c = i + 9; s = v + 15; u = b + 20; a = c + 12; i = 1; b = j + 15; j = w + 1; e = i + 10; g = e + 13; w = g + 5; z = s + 9; n = z + 14. Given that i = 1, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 2", "w": "d + 9", "v": "w + 8", "j": "v + 17", "i": "j + 16", "q": "i + 4", "k": "g + 12", "c": "k + 18", "s": "c + 17", "m": "s + 15", "o": "m + 5", "b": "o + 13", "g": 4}, "premises": {"g": 4}, "target": "q"}, "answer": {"steps": [["i", "j + 16", "j + 20"], ["j", "v + 17", "v + 37"], ["v", "w + 8", "w + 45"], ["w", "d + 9", "d + 54"], ["d", "g + 2", "g + 56"], ["g", 4, "60"]], "target_var_name": "q", "target_value": 60, "value_dict": {"g": 4}, "is_reverse": true}} | 12,018 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = 4; b = o + 13; k = g + 12; v = w + 8; m = s + 15; o = m + 5; j = v + 17; c = k + 18; q = i + 4; d = g + 2; i = j + 16; w = d + 9; s = c + 17. If g = 4, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 16 to q, which gives q = j + 20.\n2. Substitute j = v + 17 to q, which gives q = v + 37.\n3. Substitute v = w + 8 to q, which gives q = w + 45.\n4. Substitute w = d + 9 to q, which gives q = d + 54.\n5. Substitute d = g + 2 to q, which gives q = g + 56.\n6. Substitute g = 4 to q, which gives q = 60.\n\nThus, the final answer is q = \\boxed{60}.",
"index": 12018,
"question": "Consider a system of variables where each variable is defined as follows: g = 4; b = o + 13; k = g + 12; v = w + 8; m = s + 15; o = m + 5; j = v + 17; c = k + 18; q = i + 4; d = g + 2; i = j + 16; w = d + 9; s = c + 17. If g = 4, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 15", "s": "y + 10", "t": "s + 7", "z": "t + 4", "i": "z + 11", "d": "i + 8", "j": "h + 1", "m": "j + 11", "c": "m + 12", "v": "c + 16", "g": "v + 13", "u": "g + 11", "h": 16}, "premises": {"h": 16}, "target": "d"}, "answer": {"steps": [["i", "z + 11", "z + 19"], ["z", "t + 4", "t + 23"], ["t", "s + 7", "s + 30"], ["s", "y + 10", "y + 40"], ["y", "h + 15", "h + 55"], ["h", 16, "71"]], "target_var_name": "d", "target_value": 71, "value_dict": {"h": 16}, "is_reverse": true}} | 12,019 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = t + 4; h = 16; m = j + 11; v = c + 16; s = y + 10; t = s + 7; d = i + 8; g = v + 13; u = g + 11; i = z + 11; j = h + 1; y = h + 15; c = m + 12. Given that h = 16, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 11 to d, which gives d = z + 19.\n2. Substitute z = t + 4 to d, which gives d = t + 23.\n3. Substitute t = s + 7 to d, which gives d = s + 30.\n4. Substitute s = y + 10 to d, which gives d = y + 40.\n5. Substitute y = h + 15 to d, which gives d = h + 55.\n6. Substitute h = 16 to d, which gives d = 71.\n\nThus, the final answer is d = \\boxed{71}.",
"index": 12019,
"question": "Suppose a collection of variables is related by the following definitions: z = t + 4; h = 16; m = j + 11; v = c + 16; s = y + 10; t = s + 7; d = i + 8; g = v + 13; u = g + 11; i = z + 11; j = h + 1; y = h + 15; c = m + 12. Given that h = 16, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"t": "i + 7", "w": "t + 4", "x": "w + 9", "a": "x + 5", "q": "a + 1", "m": "q + 17", "n": "i + 20", "u": "n + 19", "z": "u + 12", "j": "z + 13", "p": "j + 12", "h": "p + 13", "i": 4}, "premises": {"i": 4}, "target": "m"}, "answer": {"steps": [["q", "a + 1", "a + 18"], ["a", "x + 5", "x + 23"], ["x", "w + 9", "w + 32"], ["w", "t + 4", "t + 36"], ["t", "i + 7", "i + 43"], ["i", 4, "47"]], "target_var_name": "m", "target_value": 47, "value_dict": {"i": 4}, "is_reverse": true}} | 12,020 | 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 = j + 12; a = x + 5; z = u + 12; i = 4; m = q + 17; q = a + 1; j = z + 13; u = n + 19; w = t + 4; h = p + 13; x = w + 9; n = i + 20; t = i + 7. If i = 4, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 1 to m, which gives m = a + 18.\n2. Substitute a = x + 5 to m, which gives m = x + 23.\n3. Substitute x = w + 9 to m, which gives m = w + 32.\n4. Substitute w = t + 4 to m, which gives m = t + 36.\n5. Substitute t = i + 7 to m, which gives m = i + 43.\n6. Substitute i = 4 to m, which gives m = 47.\n\nThus, the final answer is m = \\boxed{47}.",
"index": 12020,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 12; a = x + 5; z = u + 12; i = 4; m = q + 17; q = a + 1; j = z + 13; u = n + 19; w = t + 4; h = p + 13; x = w + 9; n = i + 20; t = i + 7. If i = 4, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 20", "d": "e + 9", "z": "d + 1", "l": "z + 13", "b": "l + 12", "k": "b + 13", "u": "j + 2", "h": "u + 3", "q": "h + 18", "t": "q + 6", "v": "t + 13", "c": "v + 7", "j": 18}, "premises": {"j": 18}, "target": "k"}, "answer": {"steps": [["b", "l + 12", "l + 25"], ["l", "z + 13", "z + 38"], ["z", "d + 1", "d + 39"], ["d", "e + 9", "e + 48"], ["e", "j + 20", "j + 68"], ["j", 18, "86"]], "target_var_name": "k", "target_value": 86, "value_dict": {"j": 18}, "is_reverse": true}} | 12,021 | 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 = j + 2; j = 18; z = d + 1; v = t + 13; d = e + 9; k = b + 13; l = z + 13; h = u + 3; b = l + 12; e = j + 20; t = q + 6; q = h + 18; c = v + 7. If j = 18, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 12 to k, which gives k = l + 25.\n2. Substitute l = z + 13 to k, which gives k = z + 38.\n3. Substitute z = d + 1 to k, which gives k = d + 39.\n4. Substitute d = e + 9 to k, which gives k = e + 48.\n5. Substitute e = j + 20 to k, which gives k = j + 68.\n6. Substitute j = 18 to k, which gives k = 86.\n\nThus, the final answer is k = \\boxed{86}.",
"index": 12021,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = j + 2; j = 18; z = d + 1; v = t + 13; d = e + 9; k = b + 13; l = z + 13; h = u + 3; b = l + 12; e = j + 20; t = q + 6; q = h + 18; c = v + 7. If j = 18, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 12", "x": "j + 18", "w": "x + 15", "y": "w + 9", "g": "y + 9", "p": "g + 17", "u": "i + 10", "s": "u + 16", "z": "s + 9", "e": "z + 13", "a": "e + 4", "k": "a + 5", "i": 5}, "premises": {"i": 5}, "target": "p"}, "answer": {"steps": [["g", "y + 9", "y + 26"], ["y", "w + 9", "w + 35"], ["w", "x + 15", "x + 50"], ["x", "j + 18", "j + 68"], ["j", "i + 12", "i + 80"], ["i", 5, "85"]], "target_var_name": "p", "target_value": 85, "value_dict": {"i": 5}, "is_reverse": true}} | 12,022 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = z + 13; x = j + 18; j = i + 12; s = u + 16; y = w + 9; i = 5; g = y + 9; w = x + 15; z = s + 9; u = i + 10; k = a + 5; p = g + 17; a = e + 4. If i = 5, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 9 to p, which gives p = y + 26.\n2. Substitute y = w + 9 to p, which gives p = w + 35.\n3. Substitute w = x + 15 to p, which gives p = x + 50.\n4. Substitute x = j + 18 to p, which gives p = j + 68.\n5. Substitute j = i + 12 to p, which gives p = i + 80.\n6. Substitute i = 5 to p, which gives p = 85.\n\nThus, the final answer is p = \\boxed{85}.",
"index": 12022,
"question": "Consider a system of variables where each variable is defined as follows: e = z + 13; x = j + 18; j = i + 12; s = u + 16; y = w + 9; i = 5; g = y + 9; w = x + 15; z = s + 9; u = i + 10; k = a + 5; p = g + 17; a = e + 4. If i = 5, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 19", "i": "q + 2", "v": "i + 14", "e": "v + 20", "h": "e + 9", "p": "h + 14", "d": "w + 12", "m": "d + 8", "u": "m + 17", "c": "u + 14", "k": "c + 13", "r": "k + 2", "w": 14}, "premises": {"w": 14}, "target": "p"}, "answer": {"steps": [["h", "e + 9", "e + 23"], ["e", "v + 20", "v + 43"], ["v", "i + 14", "i + 57"], ["i", "q + 2", "q + 59"], ["q", "w + 19", "w + 78"], ["w", 14, "92"]], "target_var_name": "p", "target_value": 92, "value_dict": {"w": 14}, "is_reverse": true}} | 12,023 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = w + 12; h = e + 9; c = u + 14; u = m + 17; v = i + 14; k = c + 13; m = d + 8; q = w + 19; i = q + 2; p = h + 14; r = k + 2; w = 14; e = v + 20. If w = 14, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 9 to p, which gives p = e + 23.\n2. Substitute e = v + 20 to p, which gives p = v + 43.\n3. Substitute v = i + 14 to p, which gives p = i + 57.\n4. Substitute i = q + 2 to p, which gives p = q + 59.\n5. Substitute q = w + 19 to p, which gives p = w + 78.\n6. Substitute w = 14 to p, which gives p = 92.\n\nThus, the final answer is p = \\boxed{92}.",
"index": 12023,
"question": "Consider a system of variables where each variable is defined as follows: d = w + 12; h = e + 9; c = u + 14; u = m + 17; v = i + 14; k = c + 13; m = d + 8; q = w + 19; i = q + 2; p = h + 14; r = k + 2; w = 14; e = v + 20. If w = 14, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 7", "h": "k + 1", "d": "h + 5", "a": "d + 19", "v": "a + 5", "m": "v + 11", "g": "j + 15", "l": "g + 4", "u": "l + 19", "q": "u + 6", "s": "q + 5", "c": "s + 2", "j": 4}, "premises": {"j": 4}, "target": "m"}, "answer": {"steps": [["v", "a + 5", "a + 16"], ["a", "d + 19", "d + 35"], ["d", "h + 5", "h + 40"], ["h", "k + 1", "k + 41"], ["k", "j + 7", "j + 48"], ["j", 4, "52"]], "target_var_name": "m", "target_value": 52, "value_dict": {"j": 4}, "is_reverse": true}} | 12,024 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = k + 1; g = j + 15; l = g + 4; c = s + 2; j = 4; k = j + 7; s = q + 5; d = h + 5; v = a + 5; a = d + 19; u = l + 19; q = u + 6; m = v + 11. If j = 4, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 5 to m, which gives m = a + 16.\n2. Substitute a = d + 19 to m, which gives m = d + 35.\n3. Substitute d = h + 5 to m, which gives m = h + 40.\n4. Substitute h = k + 1 to m, which gives m = k + 41.\n5. Substitute k = j + 7 to m, which gives m = j + 48.\n6. Substitute j = 4 to m, which gives m = 52.\n\nThus, the final answer is m = \\boxed{52}.",
"index": 12024,
"question": "Consider a system of variables where each variable is defined as follows: h = k + 1; g = j + 15; l = g + 4; c = s + 2; j = 4; k = j + 7; s = q + 5; d = h + 5; v = a + 5; a = d + 19; u = l + 19; q = u + 6; m = v + 11. If j = 4, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 17", "g": "l + 14", "u": "g + 15", "f": "u + 11", "d": "f + 12", "z": "d + 3", "e": "y + 19", "w": "e + 15", "r": "w + 14", "m": "r + 9", "t": "m + 10", "p": "t + 7", "y": 6}, "premises": {"y": 6}, "target": "z"}, "answer": {"steps": [["d", "f + 12", "f + 15"], ["f", "u + 11", "u + 26"], ["u", "g + 15", "g + 41"], ["g", "l + 14", "l + 55"], ["l", "y + 17", "y + 72"], ["y", 6, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"y": 6}, "is_reverse": true}} | 12,025 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = y + 17; y = 6; t = m + 10; u = g + 15; m = r + 9; e = y + 19; g = l + 14; f = u + 11; p = t + 7; w = e + 15; d = f + 12; r = w + 14; z = d + 3. Given that y = 6, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 12 to z, which gives z = f + 15.\n2. Substitute f = u + 11 to z, which gives z = u + 26.\n3. Substitute u = g + 15 to z, which gives z = g + 41.\n4. Substitute g = l + 14 to z, which gives z = l + 55.\n5. Substitute l = y + 17 to z, which gives z = y + 72.\n6. Substitute y = 6 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 12025,
"question": "Suppose a collection of variables is related by the following definitions: l = y + 17; y = 6; t = m + 10; u = g + 15; m = r + 9; e = y + 19; g = l + 14; f = u + 11; p = t + 7; w = e + 15; d = f + 12; r = w + 14; z = d + 3. Given that y = 6, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"d": "w + 1", "h": "d + 11", "x": "h + 18", "y": "x + 10", "e": "y + 2", "o": "e + 20", "u": "w + 14", "t": "u + 16", "f": "t + 4", "k": "f + 15", "j": "k + 10", "p": "j + 2", "w": 17}, "premises": {"w": 17}, "target": "o"}, "answer": {"steps": [["e", "y + 2", "y + 22"], ["y", "x + 10", "x + 32"], ["x", "h + 18", "h + 50"], ["h", "d + 11", "d + 61"], ["d", "w + 1", "w + 62"], ["w", 17, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"w": 17}, "is_reverse": true}} | 12,026 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = x + 10; t = u + 16; k = f + 15; d = w + 1; w = 17; p = j + 2; x = h + 18; f = t + 4; h = d + 11; j = k + 10; e = y + 2; o = e + 20; u = w + 14. If w = 17, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 2 to o, which gives o = y + 22.\n2. Substitute y = x + 10 to o, which gives o = x + 32.\n3. Substitute x = h + 18 to o, which gives o = h + 50.\n4. Substitute h = d + 11 to o, which gives o = d + 61.\n5. Substitute d = w + 1 to o, which gives o = w + 62.\n6. Substitute w = 17 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 12026,
"question": "Consider a system of variables where each variable is defined as follows: y = x + 10; t = u + 16; k = f + 15; d = w + 1; w = 17; p = j + 2; x = h + 18; f = t + 4; h = d + 11; j = k + 10; e = y + 2; o = e + 20; u = w + 14. If w = 17, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 9", "j": "m + 11", "l": "j + 20", "y": "l + 18", "d": "y + 5", "v": "d + 12", "a": "g + 15", "q": "a + 13", "u": "q + 10", "n": "u + 11", "h": "n + 6", "x": "h + 13", "g": 20}, "premises": {"g": 20}, "target": "v"}, "answer": {"steps": [["d", "y + 5", "y + 17"], ["y", "l + 18", "l + 35"], ["l", "j + 20", "j + 55"], ["j", "m + 11", "m + 66"], ["m", "g + 9", "g + 75"], ["g", 20, "95"]], "target_var_name": "v", "target_value": 95, "value_dict": {"g": 20}, "is_reverse": true}} | 12,027 | 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 = l + 18; m = g + 9; u = q + 10; v = d + 12; l = j + 20; j = m + 11; g = 20; a = g + 15; x = h + 13; q = a + 13; h = n + 6; d = y + 5; n = u + 11. If g = 20, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 5 to v, which gives v = y + 17.\n2. Substitute y = l + 18 to v, which gives v = l + 35.\n3. Substitute l = j + 20 to v, which gives v = j + 55.\n4. Substitute j = m + 11 to v, which gives v = m + 66.\n5. Substitute m = g + 9 to v, which gives v = g + 75.\n6. Substitute g = 20 to v, which gives v = 95.\n\nThus, the final answer is v = \\boxed{95}.",
"index": 12027,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 18; m = g + 9; u = q + 10; v = d + 12; l = j + 20; j = m + 11; g = 20; a = g + 15; x = h + 13; q = a + 13; h = n + 6; d = y + 5; n = u + 11. If g = 20, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"k": "b + 9", "z": "k + 12", "j": "z + 2", "m": "j + 18", "e": "m + 1", "d": "e + 15", "h": "b + 14", "v": "h + 9", "s": "v + 4", "x": "s + 13", "g": "x + 10", "q": "g + 13", "b": 2}, "premises": {"b": 2}, "target": "d"}, "answer": {"steps": [["e", "m + 1", "m + 16"], ["m", "j + 18", "j + 34"], ["j", "z + 2", "z + 36"], ["z", "k + 12", "k + 48"], ["k", "b + 9", "b + 57"], ["b", 2, "59"]], "target_var_name": "d", "target_value": 59, "value_dict": {"b": 2}, "is_reverse": true}} | 12,028 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = e + 15; j = z + 2; h = b + 14; g = x + 10; e = m + 1; b = 2; q = g + 13; v = h + 9; x = s + 13; m = j + 18; s = v + 4; z = k + 12; k = b + 9. If b = 2, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 1 to d, which gives d = m + 16.\n2. Substitute m = j + 18 to d, which gives d = j + 34.\n3. Substitute j = z + 2 to d, which gives d = z + 36.\n4. Substitute z = k + 12 to d, which gives d = k + 48.\n5. Substitute k = b + 9 to d, which gives d = b + 57.\n6. Substitute b = 2 to d, which gives d = 59.\n\nThus, the final answer is d = \\boxed{59}.",
"index": 12028,
"question": "Consider a system of variables where each variable is defined as follows: d = e + 15; j = z + 2; h = b + 14; g = x + 10; e = m + 1; b = 2; q = g + 13; v = h + 9; x = s + 13; m = j + 18; s = v + 4; z = k + 12; k = b + 9. If b = 2, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 18", "p": "f + 14", "e": "p + 9", "v": "e + 12", "r": "v + 17", "j": "r + 17", "t": "b + 13", "k": "t + 10", "n": "k + 5", "u": "n + 16", "h": "u + 12", "a": "h + 7", "b": 18}, "premises": {"b": 18}, "target": "j"}, "answer": {"steps": [["r", "v + 17", "v + 34"], ["v", "e + 12", "e + 46"], ["e", "p + 9", "p + 55"], ["p", "f + 14", "f + 69"], ["f", "b + 18", "b + 87"], ["b", 18, "105"]], "target_var_name": "j", "target_value": 105, "value_dict": {"b": 18}, "is_reverse": true}} | 12,029 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = b + 18; u = n + 16; t = b + 13; e = p + 9; j = r + 17; h = u + 12; a = h + 7; r = v + 17; k = t + 10; b = 18; v = e + 12; p = f + 14; n = k + 5. If b = 18, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 17 to j, which gives j = v + 34.\n2. Substitute v = e + 12 to j, which gives j = e + 46.\n3. Substitute e = p + 9 to j, which gives j = p + 55.\n4. Substitute p = f + 14 to j, which gives j = f + 69.\n5. Substitute f = b + 18 to j, which gives j = b + 87.\n6. Substitute b = 18 to j, which gives j = 105.\n\nThus, the final answer is j = \\boxed{105}.",
"index": 12029,
"question": "Consider a system of variables where each variable is defined as follows: f = b + 18; u = n + 16; t = b + 13; e = p + 9; j = r + 17; h = u + 12; a = h + 7; r = v + 17; k = t + 10; b = 18; v = e + 12; p = f + 14; n = k + 5. If b = 18, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 20", "s": "l + 10", "j": "s + 17", "i": "j + 9", "w": "i + 15", "k": "w + 8", "r": "q + 5", "x": "r + 11", "b": "x + 3", "n": "b + 3", "d": "n + 13", "z": "d + 12", "q": 15}, "premises": {"q": 15}, "target": "k"}, "answer": {"steps": [["w", "i + 15", "i + 23"], ["i", "j + 9", "j + 32"], ["j", "s + 17", "s + 49"], ["s", "l + 10", "l + 59"], ["l", "q + 20", "q + 79"], ["q", 15, "94"]], "target_var_name": "k", "target_value": 94, "value_dict": {"q": 15}, "is_reverse": true}} | 12,030 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = d + 12; n = b + 3; b = x + 3; w = i + 15; d = n + 13; r = q + 5; l = q + 20; q = 15; i = j + 9; j = s + 17; s = l + 10; k = w + 8; x = r + 11. If q = 15, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 15 to k, which gives k = i + 23.\n2. Substitute i = j + 9 to k, which gives k = j + 32.\n3. Substitute j = s + 17 to k, which gives k = s + 49.\n4. Substitute s = l + 10 to k, which gives k = l + 59.\n5. Substitute l = q + 20 to k, which gives k = q + 79.\n6. Substitute q = 15 to k, which gives k = 94.\n\nThus, the final answer is k = \\boxed{94}.",
"index": 12030,
"question": "Consider a system of variables where each variable is defined as follows: z = d + 12; n = b + 3; b = x + 3; w = i + 15; d = n + 13; r = q + 5; l = q + 20; q = 15; i = j + 9; j = s + 17; s = l + 10; k = w + 8; x = r + 11. If q = 15, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"b": "i + 2", "r": "b + 3", "q": "r + 5", "d": "q + 13", "x": "d + 19", "p": "x + 4", "f": "i + 10", "l": "f + 17", "w": "l + 20", "t": "w + 15", "h": "t + 5", "v": "h + 6", "i": 11}, "premises": {"i": 11}, "target": "p"}, "answer": {"steps": [["x", "d + 19", "d + 23"], ["d", "q + 13", "q + 36"], ["q", "r + 5", "r + 41"], ["r", "b + 3", "b + 44"], ["b", "i + 2", "i + 46"], ["i", 11, "57"]], "target_var_name": "p", "target_value": 57, "value_dict": {"i": 11}, "is_reverse": true}} | 12,031 | 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 + 5; v = h + 6; h = t + 5; p = x + 4; i = 11; x = d + 19; l = f + 17; f = i + 10; w = l + 20; b = i + 2; d = q + 13; r = b + 3; t = w + 15. If i = 11, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 19 to p, which gives p = d + 23.\n2. Substitute d = q + 13 to p, which gives p = q + 36.\n3. Substitute q = r + 5 to p, which gives p = r + 41.\n4. Substitute r = b + 3 to p, which gives p = b + 44.\n5. Substitute b = i + 2 to p, which gives p = i + 46.\n6. Substitute i = 11 to p, which gives p = 57.\n\nThus, the final answer is p = \\boxed{57}.",
"index": 12031,
"question": "Consider a system of variables where each variable is defined as follows: q = r + 5; v = h + 6; h = t + 5; p = x + 4; i = 11; x = d + 19; l = f + 17; f = i + 10; w = l + 20; b = i + 2; d = q + 13; r = b + 3; t = w + 15. If i = 11, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 17", "l": "n + 7", "e": "l + 5", "p": "e + 16", "i": "p + 4", "b": "i + 11", "g": "v + 18", "r": "g + 2", "q": "r + 5", "o": "q + 8", "u": "o + 4", "s": "u + 7", "v": 18}, "premises": {"v": 18}, "target": "b"}, "answer": {"steps": [["i", "p + 4", "p + 15"], ["p", "e + 16", "e + 31"], ["e", "l + 5", "l + 36"], ["l", "n + 7", "n + 43"], ["n", "v + 17", "v + 60"], ["v", 18, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"v": 18}, "is_reverse": true}} | 12,032 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = e + 16; g = v + 18; r = g + 2; e = l + 5; o = q + 8; i = p + 4; q = r + 5; n = v + 17; v = 18; s = u + 7; b = i + 11; u = o + 4; l = n + 7. If v = 18, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 4 to b, which gives b = p + 15.\n2. Substitute p = e + 16 to b, which gives b = e + 31.\n3. Substitute e = l + 5 to b, which gives b = l + 36.\n4. Substitute l = n + 7 to b, which gives b = n + 43.\n5. Substitute n = v + 17 to b, which gives b = v + 60.\n6. Substitute v = 18 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 12032,
"question": "Consider a system of variables where each variable is defined as follows: p = e + 16; g = v + 18; r = g + 2; e = l + 5; o = q + 8; i = p + 4; q = r + 5; n = v + 17; v = 18; s = u + 7; b = i + 11; u = o + 4; l = n + 7. If v = 18, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 1", "p": "f + 14", "k": "p + 3", "r": "k + 14", "t": "r + 10", "l": "t + 8", "g": "x + 1", "m": "g + 6", "c": "m + 1", "y": "c + 7", "a": "y + 12", "e": "a + 12", "x": 17}, "premises": {"x": 17}, "target": "l"}, "answer": {"steps": [["t", "r + 10", "r + 18"], ["r", "k + 14", "k + 32"], ["k", "p + 3", "p + 35"], ["p", "f + 14", "f + 49"], ["f", "x + 1", "x + 50"], ["x", 17, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"x": 17}, "is_reverse": true}} | 12,033 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 17; c = m + 1; k = p + 3; f = x + 1; e = a + 12; t = r + 10; m = g + 6; r = k + 14; y = c + 7; l = t + 8; a = y + 12; p = f + 14; g = x + 1. Given that x = 17, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 10 to l, which gives l = r + 18.\n2. Substitute r = k + 14 to l, which gives l = k + 32.\n3. Substitute k = p + 3 to l, which gives l = p + 35.\n4. Substitute p = f + 14 to l, which gives l = f + 49.\n5. Substitute f = x + 1 to l, which gives l = x + 50.\n6. Substitute x = 17 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 12033,
"question": "Suppose a collection of variables is related by the following definitions: x = 17; c = m + 1; k = p + 3; f = x + 1; e = a + 12; t = r + 10; m = g + 6; r = k + 14; y = c + 7; l = t + 8; a = y + 12; p = f + 14; g = x + 1. Given that x = 17, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 17", "d": "r + 4", "w": "d + 19", "n": "w + 20", "l": "n + 13", "a": "l + 9", "o": "s + 17", "u": "o + 6", "i": "u + 18", "t": "i + 3", "h": "t + 20", "k": "h + 2", "s": 1}, "premises": {"s": 1}, "target": "a"}, "answer": {"steps": [["l", "n + 13", "n + 22"], ["n", "w + 20", "w + 42"], ["w", "d + 19", "d + 61"], ["d", "r + 4", "r + 65"], ["r", "s + 17", "s + 82"], ["s", 1, "83"]], "target_var_name": "a", "target_value": 83, "value_dict": {"s": 1}, "is_reverse": true}} | 12,034 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = s + 17; s = 1; l = n + 13; i = u + 18; n = w + 20; w = d + 19; a = l + 9; o = s + 17; t = i + 3; k = h + 2; h = t + 20; d = r + 4; u = o + 6. If s = 1, 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 l = n + 13 to a, which gives a = n + 22.\n2. Substitute n = w + 20 to a, which gives a = w + 42.\n3. Substitute w = d + 19 to a, which gives a = d + 61.\n4. Substitute d = r + 4 to a, which gives a = r + 65.\n5. Substitute r = s + 17 to a, which gives a = s + 82.\n6. Substitute s = 1 to a, which gives a = 83.\n\nThus, the final answer is a = \\boxed{83}.",
"index": 12034,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = s + 17; s = 1; l = n + 13; i = u + 18; n = w + 20; w = d + 19; a = l + 9; o = s + 17; t = i + 3; k = h + 2; h = t + 20; d = r + 4; u = o + 6. If s = 1, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"t": "d + 4", "g": "t + 17", "m": "g + 15", "b": "m + 9", "z": "b + 8", "q": "z + 6", "i": "d + 2", "w": "i + 18", "f": "w + 10", "o": "f + 14", "u": "o + 18", "r": "u + 20", "d": 7}, "premises": {"d": 7}, "target": "q"}, "answer": {"steps": [["z", "b + 8", "b + 14"], ["b", "m + 9", "m + 23"], ["m", "g + 15", "g + 38"], ["g", "t + 17", "t + 55"], ["t", "d + 4", "d + 59"], ["d", 7, "66"]], "target_var_name": "q", "target_value": 66, "value_dict": {"d": 7}, "is_reverse": true}} | 12,035 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = d + 2; q = z + 6; f = w + 10; z = b + 8; t = d + 4; g = t + 17; d = 7; o = f + 14; r = u + 20; u = o + 18; m = g + 15; b = m + 9; w = i + 18. Given that d = 7, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 8 to q, which gives q = b + 14.\n2. Substitute b = m + 9 to q, which gives q = m + 23.\n3. Substitute m = g + 15 to q, which gives q = g + 38.\n4. Substitute g = t + 17 to q, which gives q = t + 55.\n5. Substitute t = d + 4 to q, which gives q = d + 59.\n6. Substitute d = 7 to q, which gives q = 66.\n\nThus, the final answer is q = \\boxed{66}.",
"index": 12035,
"question": "Suppose a collection of variables is related by the following definitions: i = d + 2; q = z + 6; f = w + 10; z = b + 8; t = d + 4; g = t + 17; d = 7; o = f + 14; r = u + 20; u = o + 18; m = g + 15; b = m + 9; w = i + 18. Given that d = 7, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"t": "s + 15", "i": "t + 6", "g": "i + 9", "u": "g + 10", "b": "u + 13", "a": "b + 13", "z": "s + 10", "w": "z + 6", "m": "w + 4", "e": "m + 13", "o": "e + 15", "l": "o + 2", "s": 1}, "premises": {"s": 1}, "target": "a"}, "answer": {"steps": [["b", "u + 13", "u + 26"], ["u", "g + 10", "g + 36"], ["g", "i + 9", "i + 45"], ["i", "t + 6", "t + 51"], ["t", "s + 15", "s + 66"], ["s", 1, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"s": 1}, "is_reverse": true}} | 12,036 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = m + 13; o = e + 15; m = w + 4; b = u + 13; z = s + 10; i = t + 6; a = b + 13; t = s + 15; u = g + 10; w = z + 6; l = o + 2; g = i + 9; s = 1. Given that s = 1, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 13 to a, which gives a = u + 26.\n2. Substitute u = g + 10 to a, which gives a = g + 36.\n3. Substitute g = i + 9 to a, which gives a = i + 45.\n4. Substitute i = t + 6 to a, which gives a = t + 51.\n5. Substitute t = s + 15 to a, which gives a = s + 66.\n6. Substitute s = 1 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 12036,
"question": "Suppose a collection of variables is related by the following definitions: e = m + 13; o = e + 15; m = w + 4; b = u + 13; z = s + 10; i = t + 6; a = b + 13; t = s + 15; u = g + 10; w = z + 6; l = o + 2; g = i + 9; s = 1. Given that s = 1, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 2", "x": "w + 2", "r": "x + 3", "o": "r + 19", "s": "o + 7", "v": "s + 16", "q": "k + 14", "p": "q + 8", "n": "p + 11", "e": "n + 15", "h": "e + 8", "c": "h + 1", "k": 5}, "premises": {"k": 5}, "target": "v"}, "answer": {"steps": [["s", "o + 7", "o + 23"], ["o", "r + 19", "r + 42"], ["r", "x + 3", "x + 45"], ["x", "w + 2", "w + 47"], ["w", "k + 2", "k + 49"], ["k", 5, "54"]], "target_var_name": "v", "target_value": 54, "value_dict": {"k": 5}, "is_reverse": true}} | 12,037 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = n + 15; p = q + 8; x = w + 2; c = h + 1; v = s + 16; q = k + 14; o = r + 19; w = k + 2; r = x + 3; s = o + 7; k = 5; n = p + 11; h = e + 8. Given that k = 5, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 7 to v, which gives v = o + 23.\n2. Substitute o = r + 19 to v, which gives v = r + 42.\n3. Substitute r = x + 3 to v, which gives v = x + 45.\n4. Substitute x = w + 2 to v, which gives v = w + 47.\n5. Substitute w = k + 2 to v, which gives v = k + 49.\n6. Substitute k = 5 to v, which gives v = 54.\n\nThus, the final answer is v = \\boxed{54}.",
"index": 12037,
"question": "Suppose a collection of variables is related by the following definitions: e = n + 15; p = q + 8; x = w + 2; c = h + 1; v = s + 16; q = k + 14; o = r + 19; w = k + 2; r = x + 3; s = o + 7; k = 5; n = p + 11; h = e + 8. Given that k = 5, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 4", "x": "k + 16", "p": "x + 5", "g": "p + 11", "d": "g + 6", "y": "d + 1", "a": "z + 20", "b": "a + 13", "r": "b + 19", "n": "r + 9", "t": "n + 13", "u": "t + 20", "z": 1}, "premises": {"z": 1}, "target": "y"}, "answer": {"steps": [["d", "g + 6", "g + 7"], ["g", "p + 11", "p + 18"], ["p", "x + 5", "x + 23"], ["x", "k + 16", "k + 39"], ["k", "z + 4", "z + 43"], ["z", 1, "44"]], "target_var_name": "y", "target_value": 44, "value_dict": {"z": 1}, "is_reverse": true}} | 12,038 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 6; u = t + 20; b = a + 13; g = p + 11; n = r + 9; k = z + 4; y = d + 1; t = n + 13; r = b + 19; z = 1; a = z + 20; x = k + 16; p = x + 5. If z = 1, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 6 to y, which gives y = g + 7.\n2. Substitute g = p + 11 to y, which gives y = p + 18.\n3. Substitute p = x + 5 to y, which gives y = x + 23.\n4. Substitute x = k + 16 to y, which gives y = k + 39.\n5. Substitute k = z + 4 to y, which gives y = z + 43.\n6. Substitute z = 1 to y, which gives y = 44.\n\nThus, the final answer is y = \\boxed{44}.",
"index": 12038,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 6; u = t + 20; b = a + 13; g = p + 11; n = r + 9; k = z + 4; y = d + 1; t = n + 13; r = b + 19; z = 1; a = z + 20; x = k + 16; p = x + 5. If z = 1, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 2", "j": "m + 13", "x": "j + 20", "n": "x + 2", "h": "n + 15", "t": "h + 15", "y": "r + 9", "v": "y + 9", "u": "v + 11", "e": "u + 2", "w": "e + 20", "z": "w + 17", "r": 2}, "premises": {"r": 2}, "target": "t"}, "answer": {"steps": [["h", "n + 15", "n + 30"], ["n", "x + 2", "x + 32"], ["x", "j + 20", "j + 52"], ["j", "m + 13", "m + 65"], ["m", "r + 2", "r + 67"], ["r", 2, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"r": 2}, "is_reverse": true}} | 12,039 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = v + 11; h = n + 15; v = y + 9; z = w + 17; n = x + 2; e = u + 2; r = 2; t = h + 15; j = m + 13; m = r + 2; w = e + 20; y = r + 9; x = j + 20. If r = 2, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 15 to t, which gives t = n + 30.\n2. Substitute n = x + 2 to t, which gives t = x + 32.\n3. Substitute x = j + 20 to t, which gives t = j + 52.\n4. Substitute j = m + 13 to t, which gives t = m + 65.\n5. Substitute m = r + 2 to t, which gives t = r + 67.\n6. Substitute r = 2 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 12039,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = v + 11; h = n + 15; v = y + 9; z = w + 17; n = x + 2; e = u + 2; r = 2; t = h + 15; j = m + 13; m = r + 2; w = e + 20; y = r + 9; x = j + 20. If r = 2, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 10", "t": "v + 17", "s": "t + 12", "p": "s + 11", "q": "p + 10", "a": "q + 18", "u": "j + 10", "k": "u + 15", "l": "k + 20", "g": "l + 14", "h": "g + 1", "z": "h + 1", "j": 17}, "premises": {"j": 17}, "target": "a"}, "answer": {"steps": [["q", "p + 10", "p + 28"], ["p", "s + 11", "s + 39"], ["s", "t + 12", "t + 51"], ["t", "v + 17", "v + 68"], ["v", "j + 10", "j + 78"], ["j", 17, "95"]], "target_var_name": "a", "target_value": 95, "value_dict": {"j": 17}, "is_reverse": true}} | 12,040 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = g + 1; j = 17; s = t + 12; p = s + 11; l = k + 20; q = p + 10; a = q + 18; v = j + 10; t = v + 17; u = j + 10; z = h + 1; g = l + 14; k = u + 15. If j = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 10 to a, which gives a = p + 28.\n2. Substitute p = s + 11 to a, which gives a = s + 39.\n3. Substitute s = t + 12 to a, which gives a = t + 51.\n4. Substitute t = v + 17 to a, which gives a = v + 68.\n5. Substitute v = j + 10 to a, which gives a = j + 78.\n6. Substitute j = 17 to a, which gives a = 95.\n\nThus, the final answer is a = \\boxed{95}.",
"index": 12040,
"question": "Consider a system of variables where each variable is defined as follows: h = g + 1; j = 17; s = t + 12; p = s + 11; l = k + 20; q = p + 10; a = q + 18; v = j + 10; t = v + 17; u = j + 10; z = h + 1; g = l + 14; k = u + 15. If j = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 18", "u": "h + 19", "w": "u + 7", "n": "w + 9", "y": "n + 13", "b": "y + 19", "i": "a + 17", "c": "i + 9", "z": "c + 15", "o": "z + 15", "e": "o + 13", "f": "e + 9", "a": 1}, "premises": {"a": 1}, "target": "b"}, "answer": {"steps": [["y", "n + 13", "n + 32"], ["n", "w + 9", "w + 41"], ["w", "u + 7", "u + 48"], ["u", "h + 19", "h + 67"], ["h", "a + 18", "a + 85"], ["a", 1, "86"]], "target_var_name": "b", "target_value": 86, "value_dict": {"a": 1}, "is_reverse": true}} | 12,041 | 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 = w + 9; i = a + 17; y = n + 13; e = o + 13; c = i + 9; a = 1; f = e + 9; h = a + 18; z = c + 15; o = z + 15; b = y + 19; w = u + 7; u = h + 19. If a = 1, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 13 to b, which gives b = n + 32.\n2. Substitute n = w + 9 to b, which gives b = w + 41.\n3. Substitute w = u + 7 to b, which gives b = u + 48.\n4. Substitute u = h + 19 to b, which gives b = h + 67.\n5. Substitute h = a + 18 to b, which gives b = a + 85.\n6. Substitute a = 1 to b, which gives b = 86.\n\nThus, the final answer is b = \\boxed{86}.",
"index": 12041,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = w + 9; i = a + 17; y = n + 13; e = o + 13; c = i + 9; a = 1; f = e + 9; h = a + 18; z = c + 15; o = z + 15; b = y + 19; w = u + 7; u = h + 19. If a = 1, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 2", "y": "k + 5", "i": "y + 18", "n": "i + 13", "z": "n + 4", "j": "z + 1", "h": "m + 2", "f": "h + 1", "t": "f + 12", "b": "t + 18", "o": "b + 5", "p": "o + 10", "m": 3}, "premises": {"m": 3}, "target": "j"}, "answer": {"steps": [["z", "n + 4", "n + 5"], ["n", "i + 13", "i + 18"], ["i", "y + 18", "y + 36"], ["y", "k + 5", "k + 41"], ["k", "m + 2", "m + 43"], ["m", 3, "46"]], "target_var_name": "j", "target_value": 46, "value_dict": {"m": 3}, "is_reverse": true}} | 12,042 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = h + 1; y = k + 5; j = z + 1; h = m + 2; z = n + 4; b = t + 18; m = 3; i = y + 18; n = i + 13; t = f + 12; p = o + 10; k = m + 2; o = b + 5. If m = 3, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 4 to j, which gives j = n + 5.\n2. Substitute n = i + 13 to j, which gives j = i + 18.\n3. Substitute i = y + 18 to j, which gives j = y + 36.\n4. Substitute y = k + 5 to j, which gives j = k + 41.\n5. Substitute k = m + 2 to j, which gives j = m + 43.\n6. Substitute m = 3 to j, which gives j = 46.\n\nThus, the final answer is j = \\boxed{46}.",
"index": 12042,
"question": "Consider a system of variables where each variable is defined as follows: f = h + 1; y = k + 5; j = z + 1; h = m + 2; z = n + 4; b = t + 18; m = 3; i = y + 18; n = i + 13; t = f + 12; p = o + 10; k = m + 2; o = b + 5. If m = 3, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 15", "m": "s + 1", "g": "m + 14", "z": "g + 5", "o": "z + 15", "q": "o + 1", "h": "f + 19", "x": "h + 17", "t": "x + 6", "y": "t + 2", "b": "y + 1", "e": "b + 9", "f": 14}, "premises": {"f": 14}, "target": "q"}, "answer": {"steps": [["o", "z + 15", "z + 16"], ["z", "g + 5", "g + 21"], ["g", "m + 14", "m + 35"], ["m", "s + 1", "s + 36"], ["s", "f + 15", "f + 51"], ["f", 14, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"f": 14}, "is_reverse": true}} | 12,043 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = b + 9; b = y + 1; g = m + 14; y = t + 2; x = h + 17; m = s + 1; h = f + 19; o = z + 15; q = o + 1; z = g + 5; f = 14; t = x + 6; s = f + 15. Given that f = 14, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = z + 15 to q, which gives q = z + 16.\n2. Substitute z = g + 5 to q, which gives q = g + 21.\n3. Substitute g = m + 14 to q, which gives q = m + 35.\n4. Substitute m = s + 1 to q, which gives q = s + 36.\n5. Substitute s = f + 15 to q, which gives q = f + 51.\n6. Substitute f = 14 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 12043,
"question": "Suppose a collection of variables is related by the following definitions: e = b + 9; b = y + 1; g = m + 14; y = t + 2; x = h + 17; m = s + 1; h = f + 19; o = z + 15; q = o + 1; z = g + 5; f = 14; t = x + 6; s = f + 15. Given that f = 14, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 17", "c": "z + 17", "a": "c + 12", "g": "a + 13", "d": "g + 13", "r": "d + 2", "n": "v + 6", "i": "n + 2", "p": "i + 2", "q": "p + 9", "x": "q + 12", "f": "x + 6", "v": 4}, "premises": {"v": 4}, "target": "r"}, "answer": {"steps": [["d", "g + 13", "g + 15"], ["g", "a + 13", "a + 28"], ["a", "c + 12", "c + 40"], ["c", "z + 17", "z + 57"], ["z", "v + 17", "v + 74"], ["v", 4, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"v": 4}, "is_reverse": true}} | 12,044 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = 4; a = c + 12; f = x + 6; r = d + 2; g = a + 13; i = n + 2; d = g + 13; z = v + 17; p = i + 2; q = p + 9; x = q + 12; n = v + 6; c = z + 17. If v = 4, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 13 to r, which gives r = g + 15.\n2. Substitute g = a + 13 to r, which gives r = a + 28.\n3. Substitute a = c + 12 to r, which gives r = c + 40.\n4. Substitute c = z + 17 to r, which gives r = z + 57.\n5. Substitute z = v + 17 to r, which gives r = v + 74.\n6. Substitute v = 4 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 12044,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = 4; a = c + 12; f = x + 6; r = d + 2; g = a + 13; i = n + 2; d = g + 13; z = v + 17; p = i + 2; q = p + 9; x = q + 12; n = v + 6; c = z + 17. If v = 4, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 1", "s": "a + 19", "q": "s + 14", "f": "q + 10", "l": "f + 10", "o": "l + 1", "e": "t + 16", "u": "e + 15", "m": "u + 15", "y": "m + 5", "w": "y + 14", "k": "w + 1", "t": 7}, "premises": {"t": 7}, "target": "o"}, "answer": {"steps": [["l", "f + 10", "f + 11"], ["f", "q + 10", "q + 21"], ["q", "s + 14", "s + 35"], ["s", "a + 19", "a + 54"], ["a", "t + 1", "t + 55"], ["t", 7, "62"]], "target_var_name": "o", "target_value": 62, "value_dict": {"t": 7}, "is_reverse": true}} | 12,045 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 10; k = w + 1; t = 7; e = t + 16; o = l + 1; f = q + 10; w = y + 14; u = e + 15; q = s + 14; y = m + 5; m = u + 15; s = a + 19; a = t + 1. If t = 7, 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 l = f + 10 to o, which gives o = f + 11.\n2. Substitute f = q + 10 to o, which gives o = q + 21.\n3. Substitute q = s + 14 to o, which gives o = s + 35.\n4. Substitute s = a + 19 to o, which gives o = a + 54.\n5. Substitute a = t + 1 to o, which gives o = t + 55.\n6. Substitute t = 7 to o, which gives o = 62.\n\nThus, the final answer is o = \\boxed{62}.",
"index": 12045,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 10; k = w + 1; t = 7; e = t + 16; o = l + 1; f = q + 10; w = y + 14; u = e + 15; q = s + 14; y = m + 5; m = u + 15; s = a + 19; a = t + 1. If t = 7, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 6", "z": "o + 1", "y": "z + 5", "c": "y + 10", "f": "c + 20", "q": "f + 17", "h": "u + 13", "a": "h + 16", "k": "a + 16", "l": "k + 10", "m": "l + 4", "r": "m + 12", "u": 14}, "premises": {"u": 14}, "target": "q"}, "answer": {"steps": [["f", "c + 20", "c + 37"], ["c", "y + 10", "y + 47"], ["y", "z + 5", "z + 52"], ["z", "o + 1", "o + 53"], ["o", "u + 6", "u + 59"], ["u", 14, "73"]], "target_var_name": "q", "target_value": 73, "value_dict": {"u": 14}, "is_reverse": true}} | 12,046 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = o + 1; y = z + 5; o = u + 6; k = a + 16; m = l + 4; f = c + 20; a = h + 16; r = m + 12; q = f + 17; l = k + 10; u = 14; h = u + 13; c = y + 10. If u = 14, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 20 to q, which gives q = c + 37.\n2. Substitute c = y + 10 to q, which gives q = y + 47.\n3. Substitute y = z + 5 to q, which gives q = z + 52.\n4. Substitute z = o + 1 to q, which gives q = o + 53.\n5. Substitute o = u + 6 to q, which gives q = u + 59.\n6. Substitute u = 14 to q, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 12046,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = o + 1; y = z + 5; o = u + 6; k = a + 16; m = l + 4; f = c + 20; a = h + 16; r = m + 12; q = f + 17; l = k + 10; u = 14; h = u + 13; c = y + 10. If u = 14, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 11", "o": "l + 9", "j": "o + 6", "n": "j + 6", "v": "n + 12", "k": "v + 4", "h": "q + 8", "t": "h + 4", "u": "t + 12", "y": "u + 18", "i": "y + 13", "s": "i + 11", "q": 5}, "premises": {"q": 5}, "target": "k"}, "answer": {"steps": [["v", "n + 12", "n + 16"], ["n", "j + 6", "j + 22"], ["j", "o + 6", "o + 28"], ["o", "l + 9", "l + 37"], ["l", "q + 11", "q + 48"], ["q", 5, "53"]], "target_var_name": "k", "target_value": 53, "value_dict": {"q": 5}, "is_reverse": true}} | 12,047 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = v + 4; v = n + 12; i = y + 13; u = t + 12; t = h + 4; h = q + 8; n = j + 6; q = 5; o = l + 9; l = q + 11; y = u + 18; s = i + 11; j = o + 6. If q = 5, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 12 to k, which gives k = n + 16.\n2. Substitute n = j + 6 to k, which gives k = j + 22.\n3. Substitute j = o + 6 to k, which gives k = o + 28.\n4. Substitute o = l + 9 to k, which gives k = l + 37.\n5. Substitute l = q + 11 to k, which gives k = q + 48.\n6. Substitute q = 5 to k, which gives k = 53.\n\nThus, the final answer is k = \\boxed{53}.",
"index": 12047,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = v + 4; v = n + 12; i = y + 13; u = t + 12; t = h + 4; h = q + 8; n = j + 6; q = 5; o = l + 9; l = q + 11; y = u + 18; s = i + 11; j = o + 6. If q = 5, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"n": "i + 11", "u": "n + 11", "j": "u + 10", "l": "j + 2", "r": "l + 2", "p": "r + 6", "e": "i + 2", "k": "e + 13", "h": "k + 7", "x": "h + 8", "z": "x + 17", "t": "z + 3", "i": 5}, "premises": {"i": 5}, "target": "p"}, "answer": {"steps": [["r", "l + 2", "l + 8"], ["l", "j + 2", "j + 10"], ["j", "u + 10", "u + 20"], ["u", "n + 11", "n + 31"], ["n", "i + 11", "i + 42"], ["i", 5, "47"]], "target_var_name": "p", "target_value": 47, "value_dict": {"i": 5}, "is_reverse": true}} | 12,048 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = l + 2; p = r + 6; e = i + 2; l = j + 2; x = h + 8; u = n + 11; z = x + 17; i = 5; t = z + 3; h = k + 7; k = e + 13; n = i + 11; j = u + 10. If i = 5, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 2 to p, which gives p = l + 8.\n2. Substitute l = j + 2 to p, which gives p = j + 10.\n3. Substitute j = u + 10 to p, which gives p = u + 20.\n4. Substitute u = n + 11 to p, which gives p = n + 31.\n5. Substitute n = i + 11 to p, which gives p = i + 42.\n6. Substitute i = 5 to p, which gives p = 47.\n\nThus, the final answer is p = \\boxed{47}.",
"index": 12048,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = l + 2; p = r + 6; e = i + 2; l = j + 2; x = h + 8; u = n + 11; z = x + 17; i = 5; t = z + 3; h = k + 7; k = e + 13; n = i + 11; j = u + 10. If i = 5, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 1", "s": "b + 10", "k": "s + 8", "q": "k + 13", "z": "q + 13", "i": "z + 7", "g": "p + 15", "j": "g + 3", "a": "j + 9", "t": "a + 15", "e": "t + 11", "d": "e + 17", "p": 14}, "premises": {"p": 14}, "target": "i"}, "answer": {"steps": [["z", "q + 13", "q + 20"], ["q", "k + 13", "k + 33"], ["k", "s + 8", "s + 41"], ["s", "b + 10", "b + 51"], ["b", "p + 1", "p + 52"], ["p", 14, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"p": 14}, "is_reverse": true}} | 12,049 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = a + 15; a = j + 9; p = 14; d = e + 17; i = z + 7; s = b + 10; z = q + 13; g = p + 15; j = g + 3; k = s + 8; e = t + 11; b = p + 1; q = k + 13. If p = 14, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 13 to i, which gives i = q + 20.\n2. Substitute q = k + 13 to i, which gives i = k + 33.\n3. Substitute k = s + 8 to i, which gives i = s + 41.\n4. Substitute s = b + 10 to i, which gives i = b + 51.\n5. Substitute b = p + 1 to i, which gives i = p + 52.\n6. Substitute p = 14 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 12049,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = a + 15; a = j + 9; p = 14; d = e + 17; i = z + 7; s = b + 10; z = q + 13; g = p + 15; j = g + 3; k = s + 8; e = t + 11; b = p + 1; q = k + 13. If p = 14, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 16", "q": "e + 9", "f": "q + 17", "i": "f + 18", "b": "i + 18", "y": "b + 6", "v": "a + 11", "d": "v + 16", "u": "d + 8", "s": "u + 2", "l": "s + 14", "z": "l + 19", "a": 8}, "premises": {"a": 8}, "target": "y"}, "answer": {"steps": [["b", "i + 18", "i + 24"], ["i", "f + 18", "f + 42"], ["f", "q + 17", "q + 59"], ["q", "e + 9", "e + 68"], ["e", "a + 16", "a + 84"], ["a", 8, "92"]], "target_var_name": "y", "target_value": 92, "value_dict": {"a": 8}, "is_reverse": true}} | 12,050 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = u + 2; u = d + 8; v = a + 11; a = 8; l = s + 14; q = e + 9; e = a + 16; f = q + 17; y = b + 6; i = f + 18; b = i + 18; z = l + 19; d = v + 16. If a = 8, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 18 to y, which gives y = i + 24.\n2. Substitute i = f + 18 to y, which gives y = f + 42.\n3. Substitute f = q + 17 to y, which gives y = q + 59.\n4. Substitute q = e + 9 to y, which gives y = e + 68.\n5. Substitute e = a + 16 to y, which gives y = a + 84.\n6. Substitute a = 8 to y, which gives y = 92.\n\nThus, the final answer is y = \\boxed{92}.",
"index": 12050,
"question": "Consider a system of variables where each variable is defined as follows: s = u + 2; u = d + 8; v = a + 11; a = 8; l = s + 14; q = e + 9; e = a + 16; f = q + 17; y = b + 6; i = f + 18; b = i + 18; z = l + 19; d = v + 16. If a = 8, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 12", "u": "k + 5", "l": "u + 12", "i": "l + 1", "s": "i + 15", "n": "s + 4", "e": "c + 15", "g": "e + 2", "q": "g + 14", "b": "q + 19", "a": "b + 4", "w": "a + 13", "c": 20}, "premises": {"c": 20}, "target": "n"}, "answer": {"steps": [["s", "i + 15", "i + 19"], ["i", "l + 1", "l + 20"], ["l", "u + 12", "u + 32"], ["u", "k + 5", "k + 37"], ["k", "c + 12", "c + 49"], ["c", 20, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"c": 20}, "is_reverse": true}} | 12,051 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = s + 4; l = u + 12; q = g + 14; a = b + 4; u = k + 5; k = c + 12; i = l + 1; s = i + 15; e = c + 15; g = e + 2; c = 20; w = a + 13; b = q + 19. Given that c = 20, 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 s = i + 15 to n, which gives n = i + 19.\n2. Substitute i = l + 1 to n, which gives n = l + 20.\n3. Substitute l = u + 12 to n, which gives n = u + 32.\n4. Substitute u = k + 5 to n, which gives n = k + 37.\n5. Substitute k = c + 12 to n, which gives n = c + 49.\n6. Substitute c = 20 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 12051,
"question": "Suppose a collection of variables is related by the following definitions: n = s + 4; l = u + 12; q = g + 14; a = b + 4; u = k + 5; k = c + 12; i = l + 1; s = i + 15; e = c + 15; g = e + 2; c = 20; w = a + 13; b = q + 19. Given that c = 20, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 20", "q": "m + 3", "j": "q + 1", "o": "j + 13", "k": "o + 17", "b": "k + 6", "s": "l + 1", "e": "s + 2", "x": "e + 12", "d": "x + 10", "c": "d + 8", "v": "c + 11", "l": 11}, "premises": {"l": 11}, "target": "b"}, "answer": {"steps": [["k", "o + 17", "o + 23"], ["o", "j + 13", "j + 36"], ["j", "q + 1", "q + 37"], ["q", "m + 3", "m + 40"], ["m", "l + 20", "l + 60"], ["l", 11, "71"]], "target_var_name": "b", "target_value": 71, "value_dict": {"l": 11}, "is_reverse": true}} | 12,052 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = s + 2; m = l + 20; x = e + 12; v = c + 11; d = x + 10; l = 11; o = j + 13; j = q + 1; c = d + 8; k = o + 17; s = l + 1; b = k + 6; q = m + 3. If l = 11, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 17 to b, which gives b = o + 23.\n2. Substitute o = j + 13 to b, which gives b = j + 36.\n3. Substitute j = q + 1 to b, which gives b = q + 37.\n4. Substitute q = m + 3 to b, which gives b = m + 40.\n5. Substitute m = l + 20 to b, which gives b = l + 60.\n6. Substitute l = 11 to b, which gives b = 71.\n\nThus, the final answer is b = \\boxed{71}.",
"index": 12052,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = s + 2; m = l + 20; x = e + 12; v = c + 11; d = x + 10; l = 11; o = j + 13; j = q + 1; c = d + 8; k = o + 17; s = l + 1; b = k + 6; q = m + 3. If l = 11, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 15", "x": "f + 7", "u": "x + 3", "m": "u + 7", "w": "m + 19", "s": "w + 15", "h": "j + 5", "c": "h + 2", "y": "c + 4", "q": "y + 6", "k": "q + 9", "b": "k + 12", "j": 20}, "premises": {"j": 20}, "target": "s"}, "answer": {"steps": [["w", "m + 19", "m + 34"], ["m", "u + 7", "u + 41"], ["u", "x + 3", "x + 44"], ["x", "f + 7", "f + 51"], ["f", "j + 15", "j + 66"], ["j", 20, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"j": 20}, "is_reverse": true}} | 12,053 | 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 = j + 15; m = u + 7; x = f + 7; w = m + 19; s = w + 15; b = k + 12; u = x + 3; k = q + 9; y = c + 4; c = h + 2; h = j + 5; j = 20; q = y + 6. If j = 20, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 19 to s, which gives s = m + 34.\n2. Substitute m = u + 7 to s, which gives s = u + 41.\n3. Substitute u = x + 3 to s, which gives s = x + 44.\n4. Substitute x = f + 7 to s, which gives s = f + 51.\n5. Substitute f = j + 15 to s, which gives s = j + 66.\n6. Substitute j = 20 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 12053,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = j + 15; m = u + 7; x = f + 7; w = m + 19; s = w + 15; b = k + 12; u = x + 3; k = q + 9; y = c + 4; c = h + 2; h = j + 5; j = 20; q = y + 6. If j = 20, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 14", "h": "o + 20", "j": "h + 8", "p": "j + 1", "d": "p + 19", "y": "d + 9", "a": "x + 13", "u": "a + 4", "m": "u + 19", "s": "m + 12", "c": "s + 7", "q": "c + 13", "x": 5}, "premises": {"x": 5}, "target": "y"}, "answer": {"steps": [["d", "p + 19", "p + 28"], ["p", "j + 1", "j + 29"], ["j", "h + 8", "h + 37"], ["h", "o + 20", "o + 57"], ["o", "x + 14", "x + 71"], ["x", 5, "76"]], "target_var_name": "y", "target_value": 76, "value_dict": {"x": 5}, "is_reverse": true}} | 12,054 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = a + 4; p = j + 1; x = 5; h = o + 20; s = m + 12; o = x + 14; c = s + 7; a = x + 13; y = d + 9; m = u + 19; j = h + 8; q = c + 13; d = p + 19. If x = 5, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 19 to y, which gives y = p + 28.\n2. Substitute p = j + 1 to y, which gives y = j + 29.\n3. Substitute j = h + 8 to y, which gives y = h + 37.\n4. Substitute h = o + 20 to y, which gives y = o + 57.\n5. Substitute o = x + 14 to y, which gives y = x + 71.\n6. Substitute x = 5 to y, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 12054,
"question": "Consider a system of variables where each variable is defined as follows: u = a + 4; p = j + 1; x = 5; h = o + 20; s = m + 12; o = x + 14; c = s + 7; a = x + 13; y = d + 9; m = u + 19; j = h + 8; q = c + 13; d = p + 19. If x = 5, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 12", "z": "p + 2", "n": "z + 18", "j": "n + 14", "f": "j + 20", "v": "f + 7", "c": "b + 8", "k": "c + 2", "e": "k + 7", "d": "e + 7", "s": "d + 14", "h": "s + 4", "b": 10}, "premises": {"b": 10}, "target": "v"}, "answer": {"steps": [["f", "j + 20", "j + 27"], ["j", "n + 14", "n + 41"], ["n", "z + 18", "z + 59"], ["z", "p + 2", "p + 61"], ["p", "b + 12", "b + 73"], ["b", 10, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"b": 10}, "is_reverse": true}} | 12,055 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = s + 4; b = 10; k = c + 2; n = z + 18; f = j + 20; s = d + 14; c = b + 8; e = k + 7; z = p + 2; j = n + 14; v = f + 7; p = b + 12; d = e + 7. Given that b = 10, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 20 to v, which gives v = j + 27.\n2. Substitute j = n + 14 to v, which gives v = n + 41.\n3. Substitute n = z + 18 to v, which gives v = z + 59.\n4. Substitute z = p + 2 to v, which gives v = p + 61.\n5. Substitute p = b + 12 to v, which gives v = b + 73.\n6. Substitute b = 10 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 12055,
"question": "Suppose a collection of variables is related by the following definitions: h = s + 4; b = 10; k = c + 2; n = z + 18; f = j + 20; s = d + 14; c = b + 8; e = k + 7; z = p + 2; j = n + 14; v = f + 7; p = b + 12; d = e + 7. Given that b = 10, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 8", "g": "d + 8", "z": "g + 10", "w": "z + 1", "r": "w + 7", "q": "r + 10", "k": "y + 17", "p": "k + 15", "h": "p + 1", "c": "h + 4", "v": "c + 20", "o": "v + 5", "y": 20}, "premises": {"y": 20}, "target": "q"}, "answer": {"steps": [["r", "w + 7", "w + 17"], ["w", "z + 1", "z + 18"], ["z", "g + 10", "g + 28"], ["g", "d + 8", "d + 36"], ["d", "y + 8", "y + 44"], ["y", 20, "64"]], "target_var_name": "q", "target_value": 64, "value_dict": {"y": 20}, "is_reverse": true}} | 12,056 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = y + 17; v = c + 20; z = g + 10; w = z + 1; y = 20; o = v + 5; g = d + 8; p = k + 15; r = w + 7; h = p + 1; q = r + 10; c = h + 4; d = y + 8. If y = 20, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 7 to q, which gives q = w + 17.\n2. Substitute w = z + 1 to q, which gives q = z + 18.\n3. Substitute z = g + 10 to q, which gives q = g + 28.\n4. Substitute g = d + 8 to q, which gives q = d + 36.\n5. Substitute d = y + 8 to q, which gives q = y + 44.\n6. Substitute y = 20 to q, which gives q = 64.\n\nThus, the final answer is q = \\boxed{64}.",
"index": 12056,
"question": "Consider a system of variables where each variable is defined as follows: k = y + 17; v = c + 20; z = g + 10; w = z + 1; y = 20; o = v + 5; g = d + 8; p = k + 15; r = w + 7; h = p + 1; q = r + 10; c = h + 4; d = y + 8. If y = 20, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 11", "d": "l + 6", "e": "d + 11", "g": "e + 11", "y": "g + 18", "n": "y + 19", "b": "k + 11", "s": "b + 16", "x": "s + 18", "z": "x + 11", "r": "z + 11", "f": "r + 11", "k": 19}, "premises": {"k": 19}, "target": "n"}, "answer": {"steps": [["y", "g + 18", "g + 37"], ["g", "e + 11", "e + 48"], ["e", "d + 11", "d + 59"], ["d", "l + 6", "l + 65"], ["l", "k + 11", "k + 76"], ["k", 19, "95"]], "target_var_name": "n", "target_value": 95, "value_dict": {"k": 19}, "is_reverse": true}} | 12,057 | 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 = r + 11; d = l + 6; z = x + 11; r = z + 11; e = d + 11; k = 19; s = b + 16; y = g + 18; g = e + 11; b = k + 11; n = y + 19; x = s + 18; l = k + 11. If k = 19, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 18 to n, which gives n = g + 37.\n2. Substitute g = e + 11 to n, which gives n = e + 48.\n3. Substitute e = d + 11 to n, which gives n = d + 59.\n4. Substitute d = l + 6 to n, which gives n = l + 65.\n5. Substitute l = k + 11 to n, which gives n = k + 76.\n6. Substitute k = 19 to n, which gives n = 95.\n\nThus, the final answer is n = \\boxed{95}.",
"index": 12057,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = r + 11; d = l + 6; z = x + 11; r = z + 11; e = d + 11; k = 19; s = b + 16; y = g + 18; g = e + 11; b = k + 11; n = y + 19; x = s + 18; l = k + 11. If k = 19, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 1", "v": "x + 12", "m": "v + 15", "j": "m + 5", "p": "j + 18", "r": "p + 2", "q": "l + 3", "o": "q + 5", "k": "o + 3", "g": "k + 16", "e": "g + 1", "f": "e + 16", "l": 3}, "premises": {"l": 3}, "target": "r"}, "answer": {"steps": [["p", "j + 18", "j + 20"], ["j", "m + 5", "m + 25"], ["m", "v + 15", "v + 40"], ["v", "x + 12", "x + 52"], ["x", "l + 1", "l + 53"], ["l", 3, "56"]], "target_var_name": "r", "target_value": 56, "value_dict": {"l": 3}, "is_reverse": true}} | 12,058 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = k + 16; x = l + 1; f = e + 16; e = g + 1; l = 3; j = m + 5; o = q + 5; p = j + 18; m = v + 15; v = x + 12; r = p + 2; k = o + 3; q = l + 3. Given that l = 3, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 18 to r, which gives r = j + 20.\n2. Substitute j = m + 5 to r, which gives r = m + 25.\n3. Substitute m = v + 15 to r, which gives r = v + 40.\n4. Substitute v = x + 12 to r, which gives r = x + 52.\n5. Substitute x = l + 1 to r, which gives r = l + 53.\n6. Substitute l = 3 to r, which gives r = 56.\n\nThus, the final answer is r = \\boxed{56}.",
"index": 12058,
"question": "Suppose a collection of variables is related by the following definitions: g = k + 16; x = l + 1; f = e + 16; e = g + 1; l = 3; j = m + 5; o = q + 5; p = j + 18; m = v + 15; v = x + 12; r = p + 2; k = o + 3; q = l + 3. Given that l = 3, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 19", "b": "i + 15", "j": "b + 5", "c": "j + 11", "u": "c + 17", "h": "u + 1", "g": "y + 1", "r": "g + 12", "t": "r + 19", "d": "t + 17", "p": "d + 3", "s": "p + 4", "y": 14}, "premises": {"y": 14}, "target": "h"}, "answer": {"steps": [["u", "c + 17", "c + 18"], ["c", "j + 11", "j + 29"], ["j", "b + 5", "b + 34"], ["b", "i + 15", "i + 49"], ["i", "y + 19", "y + 68"], ["y", 14, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"y": 14}, "is_reverse": true}} | 12,059 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = b + 5; y = 14; s = p + 4; t = r + 19; b = i + 15; u = c + 17; d = t + 17; h = u + 1; i = y + 19; c = j + 11; g = y + 1; r = g + 12; p = d + 3. If y = 14, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 17 to h, which gives h = c + 18.\n2. Substitute c = j + 11 to h, which gives h = j + 29.\n3. Substitute j = b + 5 to h, which gives h = b + 34.\n4. Substitute b = i + 15 to h, which gives h = i + 49.\n5. Substitute i = y + 19 to h, which gives h = y + 68.\n6. Substitute y = 14 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 12059,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = b + 5; y = 14; s = p + 4; t = r + 19; b = i + 15; u = c + 17; d = t + 17; h = u + 1; i = y + 19; c = j + 11; g = y + 1; r = g + 12; p = d + 3. If y = 14, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 13", "t": "e + 14", "c": "t + 13", "p": "c + 2", "y": "p + 12", "a": "y + 4", "m": "j + 18", "d": "m + 5", "r": "d + 17", "h": "r + 15", "z": "h + 5", "q": "z + 6", "j": 2}, "premises": {"j": 2}, "target": "a"}, "answer": {"steps": [["y", "p + 12", "p + 16"], ["p", "c + 2", "c + 18"], ["c", "t + 13", "t + 31"], ["t", "e + 14", "e + 45"], ["e", "j + 13", "j + 58"], ["j", 2, "60"]], "target_var_name": "a", "target_value": 60, "value_dict": {"j": 2}, "is_reverse": true}} | 12,060 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = t + 13; j = 2; e = j + 13; r = d + 17; y = p + 12; z = h + 5; t = e + 14; q = z + 6; d = m + 5; p = c + 2; a = y + 4; m = j + 18; h = r + 15. Given that j = 2, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 12 to a, which gives a = p + 16.\n2. Substitute p = c + 2 to a, which gives a = c + 18.\n3. Substitute c = t + 13 to a, which gives a = t + 31.\n4. Substitute t = e + 14 to a, which gives a = e + 45.\n5. Substitute e = j + 13 to a, which gives a = j + 58.\n6. Substitute j = 2 to a, which gives a = 60.\n\nThus, the final answer is a = \\boxed{60}.",
"index": 12060,
"question": "Suppose a collection of variables is related by the following definitions: c = t + 13; j = 2; e = j + 13; r = d + 17; y = p + 12; z = h + 5; t = e + 14; q = z + 6; d = m + 5; p = c + 2; a = y + 4; m = j + 18; h = r + 15. Given that j = 2, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"u": "w + 3", "c": "u + 11", "k": "c + 13", "x": "k + 2", "q": "x + 14", "a": "q + 16", "t": "w + 8", "h": "t + 10", "o": "h + 6", "g": "o + 11", "i": "g + 13", "z": "i + 12", "w": 7}, "premises": {"w": 7}, "target": "a"}, "answer": {"steps": [["q", "x + 14", "x + 30"], ["x", "k + 2", "k + 32"], ["k", "c + 13", "c + 45"], ["c", "u + 11", "u + 56"], ["u", "w + 3", "w + 59"], ["w", 7, "66"]], "target_var_name": "a", "target_value": 66, "value_dict": {"w": 7}, "is_reverse": true}} | 12,061 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = g + 13; a = q + 16; z = i + 12; c = u + 11; x = k + 2; h = t + 10; w = 7; g = o + 11; t = w + 8; q = x + 14; u = w + 3; o = h + 6; k = c + 13. If w = 7, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 14 to a, which gives a = x + 30.\n2. Substitute x = k + 2 to a, which gives a = k + 32.\n3. Substitute k = c + 13 to a, which gives a = c + 45.\n4. Substitute c = u + 11 to a, which gives a = u + 56.\n5. Substitute u = w + 3 to a, which gives a = w + 59.\n6. Substitute w = 7 to a, which gives a = 66.\n\nThus, the final answer is a = \\boxed{66}.",
"index": 12061,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 13; a = q + 16; z = i + 12; c = u + 11; x = k + 2; h = t + 10; w = 7; g = o + 11; t = w + 8; q = x + 14; u = w + 3; o = h + 6; k = c + 13. If w = 7, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"b": "v + 9", "m": "b + 2", "y": "m + 9", "c": "y + 1", "f": "c + 15", "p": "f + 19", "l": "v + 2", "g": "l + 9", "q": "g + 20", "d": "q + 4", "w": "d + 9", "i": "w + 11", "v": 11}, "premises": {"v": 11}, "target": "p"}, "answer": {"steps": [["f", "c + 15", "c + 34"], ["c", "y + 1", "y + 35"], ["y", "m + 9", "m + 44"], ["m", "b + 2", "b + 46"], ["b", "v + 9", "v + 55"], ["v", 11, "66"]], "target_var_name": "p", "target_value": 66, "value_dict": {"v": 11}, "is_reverse": true}} | 12,062 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = v + 2; c = y + 1; v = 11; d = q + 4; m = b + 2; w = d + 9; q = g + 20; y = m + 9; g = l + 9; f = c + 15; p = f + 19; i = w + 11; b = v + 9. Given that v = 11, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 15 to p, which gives p = c + 34.\n2. Substitute c = y + 1 to p, which gives p = y + 35.\n3. Substitute y = m + 9 to p, which gives p = m + 44.\n4. Substitute m = b + 2 to p, which gives p = b + 46.\n5. Substitute b = v + 9 to p, which gives p = v + 55.\n6. Substitute v = 11 to p, which gives p = 66.\n\nThus, the final answer is p = \\boxed{66}.",
"index": 12062,
"question": "Suppose a collection of variables is related by the following definitions: l = v + 2; c = y + 1; v = 11; d = q + 4; m = b + 2; w = d + 9; q = g + 20; y = m + 9; g = l + 9; f = c + 15; p = f + 19; i = w + 11; b = v + 9. Given that v = 11, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 16", "j": "v + 13", "l": "j + 15", "p": "l + 7", "d": "p + 1", "z": "d + 2", "o": "e + 6", "k": "o + 6", "w": "k + 2", "h": "w + 4", "g": "h + 18", "m": "g + 16", "e": 2}, "premises": {"e": 2}, "target": "z"}, "answer": {"steps": [["d", "p + 1", "p + 3"], ["p", "l + 7", "l + 10"], ["l", "j + 15", "j + 25"], ["j", "v + 13", "v + 38"], ["v", "e + 16", "e + 54"], ["e", 2, "56"]], "target_var_name": "z", "target_value": 56, "value_dict": {"e": 2}, "is_reverse": true}} | 12,063 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = g + 16; d = p + 1; l = j + 15; v = e + 16; g = h + 18; j = v + 13; h = w + 4; k = o + 6; p = l + 7; o = e + 6; z = d + 2; w = k + 2; e = 2. Given that e = 2, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 1 to z, which gives z = p + 3.\n2. Substitute p = l + 7 to z, which gives z = l + 10.\n3. Substitute l = j + 15 to z, which gives z = j + 25.\n4. Substitute j = v + 13 to z, which gives z = v + 38.\n5. Substitute v = e + 16 to z, which gives z = e + 54.\n6. Substitute e = 2 to z, which gives z = 56.\n\nThus, the final answer is z = \\boxed{56}.",
"index": 12063,
"question": "Suppose a collection of variables is related by the following definitions: m = g + 16; d = p + 1; l = j + 15; v = e + 16; g = h + 18; j = v + 13; h = w + 4; k = o + 6; p = l + 7; o = e + 6; z = d + 2; w = k + 2; e = 2. Given that e = 2, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "v + 19", "t": "q + 3", "a": "t + 1", "w": "a + 1", "f": "w + 2", "d": "f + 10", "e": "v + 12", "h": "e + 9", "j": "h + 1", "z": "j + 11", "s": "z + 2", "u": "s + 1", "v": 15}, "premises": {"v": 15}, "target": "d"}, "answer": {"steps": [["f", "w + 2", "w + 12"], ["w", "a + 1", "a + 13"], ["a", "t + 1", "t + 14"], ["t", "q + 3", "q + 17"], ["q", "v + 19", "v + 36"], ["v", 15, "51"]], "target_var_name": "d", "target_value": 51, "value_dict": {"v": 15}, "is_reverse": true}} | 12,064 | 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 = v + 12; z = j + 11; a = t + 1; d = f + 10; j = h + 1; q = v + 19; t = q + 3; v = 15; u = s + 1; h = e + 9; w = a + 1; f = w + 2; s = z + 2. If v = 15, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 2 to d, which gives d = w + 12.\n2. Substitute w = a + 1 to d, which gives d = a + 13.\n3. Substitute a = t + 1 to d, which gives d = t + 14.\n4. Substitute t = q + 3 to d, which gives d = q + 17.\n5. Substitute q = v + 19 to d, which gives d = v + 36.\n6. Substitute v = 15 to d, which gives d = 51.\n\nThus, the final answer is d = \\boxed{51}.",
"index": 12064,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 12; z = j + 11; a = t + 1; d = f + 10; j = h + 1; q = v + 19; t = q + 3; v = 15; u = s + 1; h = e + 9; w = a + 1; f = w + 2; s = z + 2. If v = 15, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"m": "d + 11", "f": "m + 18", "q": "f + 15", "v": "q + 6", "x": "v + 7", "u": "x + 3", "g": "d + 4", "j": "g + 6", "t": "j + 17", "i": "t + 15", "y": "i + 9", "z": "y + 15", "d": 10}, "premises": {"d": 10}, "target": "u"}, "answer": {"steps": [["x", "v + 7", "v + 10"], ["v", "q + 6", "q + 16"], ["q", "f + 15", "f + 31"], ["f", "m + 18", "m + 49"], ["m", "d + 11", "d + 60"], ["d", 10, "70"]], "target_var_name": "u", "target_value": 70, "value_dict": {"d": 10}, "is_reverse": true}} | 12,065 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = v + 7; j = g + 6; q = f + 15; z = y + 15; t = j + 17; g = d + 4; y = i + 9; f = m + 18; v = q + 6; u = x + 3; m = d + 11; i = t + 15; d = 10. If d = 10, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 7 to u, which gives u = v + 10.\n2. Substitute v = q + 6 to u, which gives u = q + 16.\n3. Substitute q = f + 15 to u, which gives u = f + 31.\n4. Substitute f = m + 18 to u, which gives u = m + 49.\n5. Substitute m = d + 11 to u, which gives u = d + 60.\n6. Substitute d = 10 to u, which gives u = 70.\n\nThus, the final answer is u = \\boxed{70}.",
"index": 12065,
"question": "Consider a system of variables where each variable is defined as follows: x = v + 7; j = g + 6; q = f + 15; z = y + 15; t = j + 17; g = d + 4; y = i + 9; f = m + 18; v = q + 6; u = x + 3; m = d + 11; i = t + 15; d = 10. If d = 10, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 18", "d": "a + 20", "k": "d + 5", "c": "k + 15", "q": "c + 14", "g": "q + 13", "b": "o + 3", "x": "b + 14", "h": "x + 11", "u": "h + 19", "p": "u + 3", "v": "p + 16", "o": 9}, "premises": {"o": 9}, "target": "g"}, "answer": {"steps": [["q", "c + 14", "c + 27"], ["c", "k + 15", "k + 42"], ["k", "d + 5", "d + 47"], ["d", "a + 20", "a + 67"], ["a", "o + 18", "o + 85"], ["o", 9, "94"]], "target_var_name": "g", "target_value": 94, "value_dict": {"o": 9}, "is_reverse": true}} | 12,066 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = 9; d = a + 20; b = o + 3; h = x + 11; u = h + 19; g = q + 13; k = d + 5; p = u + 3; c = k + 15; q = c + 14; a = o + 18; v = p + 16; x = b + 14. If o = 9, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 14 to g, which gives g = c + 27.\n2. Substitute c = k + 15 to g, which gives g = k + 42.\n3. Substitute k = d + 5 to g, which gives g = d + 47.\n4. Substitute d = a + 20 to g, which gives g = a + 67.\n5. Substitute a = o + 18 to g, which gives g = o + 85.\n6. Substitute o = 9 to g, which gives g = 94.\n\nThus, the final answer is g = \\boxed{94}.",
"index": 12066,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 9; d = a + 20; b = o + 3; h = x + 11; u = h + 19; g = q + 13; k = d + 5; p = u + 3; c = k + 15; q = c + 14; a = o + 18; v = p + 16; x = b + 14. If o = 9, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 2", "d": "l + 20", "y": "d + 2", "a": "y + 17", "f": "a + 20", "r": "f + 12", "b": "m + 4", "e": "b + 12", "v": "e + 13", "c": "v + 12", "j": "c + 4", "w": "j + 10", "m": 8}, "premises": {"m": 8}, "target": "r"}, "answer": {"steps": [["f", "a + 20", "a + 32"], ["a", "y + 17", "y + 49"], ["y", "d + 2", "d + 51"], ["d", "l + 20", "l + 71"], ["l", "m + 2", "m + 73"], ["m", 8, "81"]], "target_var_name": "r", "target_value": 81, "value_dict": {"m": 8}, "is_reverse": true}} | 12,067 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 4; l = m + 2; d = l + 20; c = v + 12; m = 8; r = f + 12; w = j + 10; j = c + 4; v = e + 13; f = a + 20; e = b + 12; a = y + 17; y = d + 2. Given that m = 8, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 20 to r, which gives r = a + 32.\n2. Substitute a = y + 17 to r, which gives r = y + 49.\n3. Substitute y = d + 2 to r, which gives r = d + 51.\n4. Substitute d = l + 20 to r, which gives r = l + 71.\n5. Substitute l = m + 2 to r, which gives r = m + 73.\n6. Substitute m = 8 to r, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 12067,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 4; l = m + 2; d = l + 20; c = v + 12; m = 8; r = f + 12; w = j + 10; j = c + 4; v = e + 13; f = a + 20; e = b + 12; a = y + 17; y = d + 2. Given that m = 8, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 2", "t": "m + 5", "o": "t + 14", "z": "o + 15", "i": "z + 1", "l": "i + 20", "q": "g + 14", "n": "q + 9", "x": "n + 18", "b": "x + 4", "j": "b + 18", "h": "j + 2", "g": 9}, "premises": {"g": 9}, "target": "l"}, "answer": {"steps": [["i", "z + 1", "z + 21"], ["z", "o + 15", "o + 36"], ["o", "t + 14", "t + 50"], ["t", "m + 5", "m + 55"], ["m", "g + 2", "g + 57"], ["g", 9, "66"]], "target_var_name": "l", "target_value": 66, "value_dict": {"g": 9}, "is_reverse": true}} | 12,068 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = o + 15; m = g + 2; q = g + 14; i = z + 1; b = x + 4; g = 9; t = m + 5; j = b + 18; h = j + 2; x = n + 18; n = q + 9; l = i + 20; o = t + 14. Given that g = 9, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 1 to l, which gives l = z + 21.\n2. Substitute z = o + 15 to l, which gives l = o + 36.\n3. Substitute o = t + 14 to l, which gives l = t + 50.\n4. Substitute t = m + 5 to l, which gives l = m + 55.\n5. Substitute m = g + 2 to l, which gives l = g + 57.\n6. Substitute g = 9 to l, which gives l = 66.\n\nThus, the final answer is l = \\boxed{66}.",
"index": 12068,
"question": "Suppose a collection of variables is related by the following definitions: z = o + 15; m = g + 2; q = g + 14; i = z + 1; b = x + 4; g = 9; t = m + 5; j = b + 18; h = j + 2; x = n + 18; n = q + 9; l = i + 20; o = t + 14. Given that g = 9, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"e": "v + 15", "b": "e + 9", "r": "b + 5", "s": "r + 10", "q": "s + 18", "x": "q + 7", "l": "v + 4", "c": "l + 11", "g": "c + 8", "y": "g + 13", "m": "y + 6", "u": "m + 5", "v": 2}, "premises": {"v": 2}, "target": "x"}, "answer": {"steps": [["q", "s + 18", "s + 25"], ["s", "r + 10", "r + 35"], ["r", "b + 5", "b + 40"], ["b", "e + 9", "e + 49"], ["e", "v + 15", "v + 64"], ["v", 2, "66"]], "target_var_name": "x", "target_value": 66, "value_dict": {"v": 2}, "is_reverse": true}} | 12,069 | 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 = m + 5; e = v + 15; y = g + 13; v = 2; x = q + 7; q = s + 18; s = r + 10; r = b + 5; m = y + 6; g = c + 8; b = e + 9; l = v + 4; c = l + 11. If v = 2, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 18 to x, which gives x = s + 25.\n2. Substitute s = r + 10 to x, which gives x = r + 35.\n3. Substitute r = b + 5 to x, which gives x = b + 40.\n4. Substitute b = e + 9 to x, which gives x = e + 49.\n5. Substitute e = v + 15 to x, which gives x = v + 64.\n6. Substitute v = 2 to x, which gives x = 66.\n\nThus, the final answer is x = \\boxed{66}.",
"index": 12069,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 5; e = v + 15; y = g + 13; v = 2; x = q + 7; q = s + 18; s = r + 10; r = b + 5; m = y + 6; g = c + 8; b = e + 9; l = v + 4; c = l + 11. If v = 2, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"v": "d + 5", "h": "v + 18", "k": "h + 1", "e": "k + 10", "l": "e + 19", "u": "l + 10", "q": "d + 18", "z": "q + 8", "g": "z + 3", "p": "g + 20", "s": "p + 13", "b": "s + 10", "d": 10}, "premises": {"d": 10}, "target": "u"}, "answer": {"steps": [["l", "e + 19", "e + 29"], ["e", "k + 10", "k + 39"], ["k", "h + 1", "h + 40"], ["h", "v + 18", "v + 58"], ["v", "d + 5", "d + 63"], ["d", 10, "73"]], "target_var_name": "u", "target_value": 73, "value_dict": {"d": 10}, "is_reverse": true}} | 12,070 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = s + 10; e = k + 10; s = p + 13; l = e + 19; g = z + 3; u = l + 10; k = h + 1; v = d + 5; p = g + 20; q = d + 18; h = v + 18; d = 10; z = q + 8. Given that d = 10, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 19 to u, which gives u = e + 29.\n2. Substitute e = k + 10 to u, which gives u = k + 39.\n3. Substitute k = h + 1 to u, which gives u = h + 40.\n4. Substitute h = v + 18 to u, which gives u = v + 58.\n5. Substitute v = d + 5 to u, which gives u = d + 63.\n6. Substitute d = 10 to u, which gives u = 73.\n\nThus, the final answer is u = \\boxed{73}.",
"index": 12070,
"question": "Suppose a collection of variables is related by the following definitions: b = s + 10; e = k + 10; s = p + 13; l = e + 19; g = z + 3; u = l + 10; k = h + 1; v = d + 5; p = g + 20; q = d + 18; h = v + 18; d = 10; z = q + 8. Given that d = 10, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 16", "l": "a + 17", "t": "l + 7", "p": "t + 11", "d": "p + 9", "y": "d + 17", "s": "r + 14", "i": "s + 10", "z": "i + 7", "f": "z + 19", "c": "f + 3", "q": "c + 12", "r": 4}, "premises": {"r": 4}, "target": "y"}, "answer": {"steps": [["d", "p + 9", "p + 26"], ["p", "t + 11", "t + 37"], ["t", "l + 7", "l + 44"], ["l", "a + 17", "a + 61"], ["a", "r + 16", "r + 77"], ["r", 4, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"r": 4}, "is_reverse": true}} | 12,071 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 11; f = z + 19; a = r + 16; c = f + 3; t = l + 7; l = a + 17; s = r + 14; i = s + 10; d = p + 9; y = d + 17; q = c + 12; z = i + 7; r = 4. If r = 4, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 9 to y, which gives y = p + 26.\n2. Substitute p = t + 11 to y, which gives y = t + 37.\n3. Substitute t = l + 7 to y, which gives y = l + 44.\n4. Substitute l = a + 17 to y, which gives y = a + 61.\n5. Substitute a = r + 16 to y, which gives y = r + 77.\n6. Substitute r = 4 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 12071,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 11; f = z + 19; a = r + 16; c = f + 3; t = l + 7; l = a + 17; s = r + 14; i = s + 10; d = p + 9; y = d + 17; q = c + 12; z = i + 7; r = 4. If r = 4, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"x": "c + 5", "a": "x + 4", "v": "a + 8", "m": "v + 18", "w": "m + 6", "g": "w + 17", "r": "c + 20", "j": "r + 13", "l": "j + 20", "y": "l + 6", "o": "y + 5", "s": "o + 15", "c": 4}, "premises": {"c": 4}, "target": "g"}, "answer": {"steps": [["w", "m + 6", "m + 23"], ["m", "v + 18", "v + 41"], ["v", "a + 8", "a + 49"], ["a", "x + 4", "x + 53"], ["x", "c + 5", "c + 58"], ["c", 4, "62"]], "target_var_name": "g", "target_value": 62, "value_dict": {"c": 4}, "is_reverse": true}} | 12,072 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = c + 20; v = a + 8; s = o + 15; x = c + 5; o = y + 5; m = v + 18; y = l + 6; l = j + 20; a = x + 4; j = r + 13; c = 4; w = m + 6; g = w + 17. If c = 4, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 6 to g, which gives g = m + 23.\n2. Substitute m = v + 18 to g, which gives g = v + 41.\n3. Substitute v = a + 8 to g, which gives g = a + 49.\n4. Substitute a = x + 4 to g, which gives g = x + 53.\n5. Substitute x = c + 5 to g, which gives g = c + 58.\n6. Substitute c = 4 to g, which gives g = 62.\n\nThus, the final answer is g = \\boxed{62}.",
"index": 12072,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = c + 20; v = a + 8; s = o + 15; x = c + 5; o = y + 5; m = v + 18; y = l + 6; l = j + 20; a = x + 4; j = r + 13; c = 4; w = m + 6; g = w + 17. If c = 4, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 17", "a": "i + 6", "q": "a + 15", "v": "q + 19", "g": "v + 11", "j": "g + 18", "x": "y + 11", "f": "x + 3", "c": "f + 10", "u": "c + 4", "s": "u + 3", "t": "s + 4", "y": 2}, "premises": {"y": 2}, "target": "j"}, "answer": {"steps": [["g", "v + 11", "v + 29"], ["v", "q + 19", "q + 48"], ["q", "a + 15", "a + 63"], ["a", "i + 6", "i + 69"], ["i", "y + 17", "y + 86"], ["y", 2, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"y": 2}, "is_reverse": true}} | 12,073 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = s + 4; c = f + 10; v = q + 19; q = a + 15; a = i + 6; y = 2; i = y + 17; j = g + 18; x = y + 11; f = x + 3; s = u + 3; g = v + 11; u = c + 4. Given that y = 2, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 11 to j, which gives j = v + 29.\n2. Substitute v = q + 19 to j, which gives j = q + 48.\n3. Substitute q = a + 15 to j, which gives j = a + 63.\n4. Substitute a = i + 6 to j, which gives j = i + 69.\n5. Substitute i = y + 17 to j, which gives j = y + 86.\n6. Substitute y = 2 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 12073,
"question": "Suppose a collection of variables is related by the following definitions: t = s + 4; c = f + 10; v = q + 19; q = a + 15; a = i + 6; y = 2; i = y + 17; j = g + 18; x = y + 11; f = x + 3; s = u + 3; g = v + 11; u = c + 4. Given that y = 2, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "v + 9", "f": "s + 19", "q": "f + 9", "c": "q + 14", "j": "c + 1", "t": "j + 15", "p": "v + 13", "n": "p + 13", "o": "n + 17", "z": "o + 19", "b": "z + 11", "d": "b + 14", "v": 4}, "premises": {"v": 4}, "target": "t"}, "answer": {"steps": [["j", "c + 1", "c + 16"], ["c", "q + 14", "q + 30"], ["q", "f + 9", "f + 39"], ["f", "s + 19", "s + 58"], ["s", "v + 9", "v + 67"], ["v", 4, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"v": 4}, "is_reverse": true}} | 12,074 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = j + 15; b = z + 11; j = c + 1; p = v + 13; s = v + 9; c = q + 14; d = b + 14; o = n + 17; v = 4; f = s + 19; z = o + 19; q = f + 9; n = p + 13. Given that v = 4, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 1 to t, which gives t = c + 16.\n2. Substitute c = q + 14 to t, which gives t = q + 30.\n3. Substitute q = f + 9 to t, which gives t = f + 39.\n4. Substitute f = s + 19 to t, which gives t = s + 58.\n5. Substitute s = v + 9 to t, which gives t = v + 67.\n6. Substitute v = 4 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 12074,
"question": "Suppose a collection of variables is related by the following definitions: t = j + 15; b = z + 11; j = c + 1; p = v + 13; s = v + 9; c = q + 14; d = b + 14; o = n + 17; v = 4; f = s + 19; z = o + 19; q = f + 9; n = p + 13. Given that v = 4, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 20", "q": "w + 4", "n": "q + 11", "l": "n + 7", "u": "l + 11", "k": "u + 7", "b": "g + 14", "y": "b + 2", "d": "y + 12", "o": "d + 4", "a": "o + 4", "t": "a + 1", "g": 16}, "premises": {"g": 16}, "target": "k"}, "answer": {"steps": [["u", "l + 11", "l + 18"], ["l", "n + 7", "n + 25"], ["n", "q + 11", "q + 36"], ["q", "w + 4", "w + 40"], ["w", "g + 20", "g + 60"], ["g", 16, "76"]], "target_var_name": "k", "target_value": 76, "value_dict": {"g": 16}, "is_reverse": true}} | 12,075 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = l + 11; d = y + 12; t = a + 1; a = o + 4; l = n + 7; b = g + 14; g = 16; y = b + 2; q = w + 4; k = u + 7; w = g + 20; n = q + 11; o = d + 4. Given that g = 16, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 11 to k, which gives k = l + 18.\n2. Substitute l = n + 7 to k, which gives k = n + 25.\n3. Substitute n = q + 11 to k, which gives k = q + 36.\n4. Substitute q = w + 4 to k, which gives k = w + 40.\n5. Substitute w = g + 20 to k, which gives k = g + 60.\n6. Substitute g = 16 to k, which gives k = 76.\n\nThus, the final answer is k = \\boxed{76}.",
"index": 12075,
"question": "Suppose a collection of variables is related by the following definitions: u = l + 11; d = y + 12; t = a + 1; a = o + 4; l = n + 7; b = g + 14; g = 16; y = b + 2; q = w + 4; k = u + 7; w = g + 20; n = q + 11; o = d + 4. Given that g = 16, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 5", "l": "k + 14", "a": "l + 20", "h": "a + 1", "f": "h + 6", "t": "f + 14", "w": "e + 3", "i": "w + 2", "s": "i + 18", "u": "s + 13", "m": "u + 7", "o": "m + 6", "e": 20}, "premises": {"e": 20}, "target": "t"}, "answer": {"steps": [["f", "h + 6", "h + 20"], ["h", "a + 1", "a + 21"], ["a", "l + 20", "l + 41"], ["l", "k + 14", "k + 55"], ["k", "e + 5", "e + 60"], ["e", 20, "80"]], "target_var_name": "t", "target_value": 80, "value_dict": {"e": 20}, "is_reverse": true}} | 12,076 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = 20; h = a + 1; l = k + 14; u = s + 13; f = h + 6; s = i + 18; w = e + 3; k = e + 5; i = w + 2; a = l + 20; o = m + 6; t = f + 14; m = u + 7. Given that e = 20, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 6 to t, which gives t = h + 20.\n2. Substitute h = a + 1 to t, which gives t = a + 21.\n3. Substitute a = l + 20 to t, which gives t = l + 41.\n4. Substitute l = k + 14 to t, which gives t = k + 55.\n5. Substitute k = e + 5 to t, which gives t = e + 60.\n6. Substitute e = 20 to t, which gives t = 80.\n\nThus, the final answer is t = \\boxed{80}.",
"index": 12076,
"question": "Suppose a collection of variables is related by the following definitions: e = 20; h = a + 1; l = k + 14; u = s + 13; f = h + 6; s = i + 18; w = e + 3; k = e + 5; i = w + 2; a = l + 20; o = m + 6; t = f + 14; m = u + 7. Given that e = 20, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 19", "w": "a + 15", "y": "w + 10", "z": "y + 6", "m": "z + 8", "s": "m + 19", "l": "h + 15", "k": "l + 19", "p": "k + 20", "i": "p + 16", "v": "i + 4", "t": "v + 16", "h": 1}, "premises": {"h": 1}, "target": "s"}, "answer": {"steps": [["m", "z + 8", "z + 27"], ["z", "y + 6", "y + 33"], ["y", "w + 10", "w + 43"], ["w", "a + 15", "a + 58"], ["a", "h + 19", "h + 77"], ["h", 1, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"h": 1}, "is_reverse": true}} | 12,077 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = p + 16; p = k + 20; h = 1; l = h + 15; t = v + 16; w = a + 15; a = h + 19; k = l + 19; m = z + 8; v = i + 4; s = m + 19; z = y + 6; y = w + 10. Given that h = 1, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 8 to s, which gives s = z + 27.\n2. Substitute z = y + 6 to s, which gives s = y + 33.\n3. Substitute y = w + 10 to s, which gives s = w + 43.\n4. Substitute w = a + 15 to s, which gives s = a + 58.\n5. Substitute a = h + 19 to s, which gives s = h + 77.\n6. Substitute h = 1 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 12077,
"question": "Suppose a collection of variables is related by the following definitions: i = p + 16; p = k + 20; h = 1; l = h + 15; t = v + 16; w = a + 15; a = h + 19; k = l + 19; m = z + 8; v = i + 4; s = m + 19; z = y + 6; y = w + 10. Given that h = 1, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 16", "n": "d + 11", "y": "n + 8", "x": "y + 6", "j": "x + 15", "o": "j + 7", "p": "t + 7", "h": "p + 20", "g": "h + 18", "s": "g + 13", "f": "s + 18", "e": "f + 12", "t": 12}, "premises": {"t": 12}, "target": "o"}, "answer": {"steps": [["j", "x + 15", "x + 22"], ["x", "y + 6", "y + 28"], ["y", "n + 8", "n + 36"], ["n", "d + 11", "d + 47"], ["d", "t + 16", "t + 63"], ["t", 12, "75"]], "target_var_name": "o", "target_value": 75, "value_dict": {"t": 12}, "is_reverse": true}} | 12,078 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = j + 7; x = y + 6; p = t + 7; s = g + 13; g = h + 18; t = 12; j = x + 15; n = d + 11; d = t + 16; y = n + 8; f = s + 18; e = f + 12; h = p + 20. If t = 12, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 15 to o, which gives o = x + 22.\n2. Substitute x = y + 6 to o, which gives o = y + 28.\n3. Substitute y = n + 8 to o, which gives o = n + 36.\n4. Substitute n = d + 11 to o, which gives o = d + 47.\n5. Substitute d = t + 16 to o, which gives o = t + 63.\n6. Substitute t = 12 to o, which gives o = 75.\n\nThus, the final answer is o = \\boxed{75}.",
"index": 12078,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = j + 7; x = y + 6; p = t + 7; s = g + 13; g = h + 18; t = 12; j = x + 15; n = d + 11; d = t + 16; y = n + 8; f = s + 18; e = f + 12; h = p + 20. If t = 12, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 10", "p": "k + 11", "l": "p + 5", "c": "l + 8", "r": "c + 8", "u": "r + 9", "q": "z + 1", "v": "q + 18", "t": "v + 19", "h": "t + 14", "f": "h + 7", "y": "f + 8", "z": 14}, "premises": {"z": 14}, "target": "u"}, "answer": {"steps": [["r", "c + 8", "c + 17"], ["c", "l + 8", "l + 25"], ["l", "p + 5", "p + 30"], ["p", "k + 11", "k + 41"], ["k", "z + 10", "z + 51"], ["z", 14, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"z": 14}, "is_reverse": true}} | 12,079 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = z + 10; l = p + 5; p = k + 11; u = r + 9; t = v + 19; h = t + 14; v = q + 18; f = h + 7; z = 14; c = l + 8; q = z + 1; y = f + 8; r = c + 8. If z = 14, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 8 to u, which gives u = c + 17.\n2. Substitute c = l + 8 to u, which gives u = l + 25.\n3. Substitute l = p + 5 to u, which gives u = p + 30.\n4. Substitute p = k + 11 to u, which gives u = k + 41.\n5. Substitute k = z + 10 to u, which gives u = z + 51.\n6. Substitute z = 14 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 12079,
"question": "Consider a system of variables where each variable is defined as follows: k = z + 10; l = p + 5; p = k + 11; u = r + 9; t = v + 19; h = t + 14; v = q + 18; f = h + 7; z = 14; c = l + 8; q = z + 1; y = f + 8; r = c + 8. If z = 14, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 20", "g": "t + 5", "p": "g + 9", "a": "p + 17", "q": "a + 3", "m": "q + 19", "c": "w + 11", "k": "c + 17", "u": "k + 10", "j": "u + 14", "v": "j + 17", "r": "v + 2", "w": 13}, "premises": {"w": 13}, "target": "m"}, "answer": {"steps": [["q", "a + 3", "a + 22"], ["a", "p + 17", "p + 39"], ["p", "g + 9", "g + 48"], ["g", "t + 5", "t + 53"], ["t", "w + 20", "w + 73"], ["w", 13, "86"]], "target_var_name": "m", "target_value": 86, "value_dict": {"w": 13}, "is_reverse": true}} | 12,080 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = w + 20; g = t + 5; u = k + 10; m = q + 19; v = j + 17; a = p + 17; w = 13; r = v + 2; j = u + 14; p = g + 9; c = w + 11; q = a + 3; k = c + 17. If w = 13, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 3 to m, which gives m = a + 22.\n2. Substitute a = p + 17 to m, which gives m = p + 39.\n3. Substitute p = g + 9 to m, which gives m = g + 48.\n4. Substitute g = t + 5 to m, which gives m = t + 53.\n5. Substitute t = w + 20 to m, which gives m = w + 73.\n6. Substitute w = 13 to m, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 12080,
"question": "Consider a system of variables where each variable is defined as follows: t = w + 20; g = t + 5; u = k + 10; m = q + 19; v = j + 17; a = p + 17; w = 13; r = v + 2; j = u + 14; p = g + 9; c = w + 11; q = a + 3; k = c + 17. If w = 13, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"u": "l + 14", "r": "u + 8", "d": "r + 10", "m": "d + 14", "y": "m + 10", "v": "y + 7", "n": "l + 15", "p": "n + 1", "e": "p + 7", "k": "e + 19", "f": "k + 7", "t": "f + 14", "l": 8}, "premises": {"l": 8}, "target": "v"}, "answer": {"steps": [["y", "m + 10", "m + 17"], ["m", "d + 14", "d + 31"], ["d", "r + 10", "r + 41"], ["r", "u + 8", "u + 49"], ["u", "l + 14", "l + 63"], ["l", 8, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"l": 8}, "is_reverse": true}} | 12,081 | 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 = k + 7; y = m + 10; l = 8; u = l + 14; t = f + 14; p = n + 1; v = y + 7; d = r + 10; n = l + 15; m = d + 14; k = e + 19; e = p + 7; r = u + 8. If l = 8, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 10 to v, which gives v = m + 17.\n2. Substitute m = d + 14 to v, which gives v = d + 31.\n3. Substitute d = r + 10 to v, which gives v = r + 41.\n4. Substitute r = u + 8 to v, which gives v = u + 49.\n5. Substitute u = l + 14 to v, which gives v = l + 63.\n6. Substitute l = 8 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 12081,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 7; y = m + 10; l = 8; u = l + 14; t = f + 14; p = n + 1; v = y + 7; d = r + 10; n = l + 15; m = d + 14; k = e + 19; e = p + 7; r = u + 8. If l = 8, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 20", "f": "z + 9", "p": "f + 17", "c": "p + 15", "a": "c + 10", "u": "a + 15", "g": "r + 3", "k": "g + 9", "y": "k + 12", "j": "y + 15", "e": "j + 1", "h": "e + 18", "r": 7}, "premises": {"r": 7}, "target": "u"}, "answer": {"steps": [["a", "c + 10", "c + 25"], ["c", "p + 15", "p + 40"], ["p", "f + 17", "f + 57"], ["f", "z + 9", "z + 66"], ["z", "r + 20", "r + 86"], ["r", 7, "93"]], "target_var_name": "u", "target_value": 93, "value_dict": {"r": 7}, "is_reverse": true}} | 12,082 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = y + 15; e = j + 1; z = r + 20; f = z + 9; u = a + 15; r = 7; p = f + 17; g = r + 3; y = k + 12; c = p + 15; k = g + 9; a = c + 10; h = e + 18. Given that r = 7, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 10 to u, which gives u = c + 25.\n2. Substitute c = p + 15 to u, which gives u = p + 40.\n3. Substitute p = f + 17 to u, which gives u = f + 57.\n4. Substitute f = z + 9 to u, which gives u = z + 66.\n5. Substitute z = r + 20 to u, which gives u = r + 86.\n6. Substitute r = 7 to u, which gives u = 93.\n\nThus, the final answer is u = \\boxed{93}.",
"index": 12082,
"question": "Suppose a collection of variables is related by the following definitions: j = y + 15; e = j + 1; z = r + 20; f = z + 9; u = a + 15; r = 7; p = f + 17; g = r + 3; y = k + 12; c = p + 15; k = g + 9; a = c + 10; h = e + 18. Given that r = 7, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 9", "w": "x + 13", "t": "w + 14", "y": "t + 13", "z": "y + 2", "i": "z + 2", "f": "m + 10", "d": "f + 20", "l": "d + 7", "q": "l + 19", "h": "q + 11", "e": "h + 13", "m": 19}, "premises": {"m": 19}, "target": "i"}, "answer": {"steps": [["z", "y + 2", "y + 4"], ["y", "t + 13", "t + 17"], ["t", "w + 14", "w + 31"], ["w", "x + 13", "x + 44"], ["x", "m + 9", "m + 53"], ["m", 19, "72"]], "target_var_name": "i", "target_value": 72, "value_dict": {"m": 19}, "is_reverse": true}} | 12,083 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = y + 2; e = h + 13; h = q + 11; q = l + 19; i = z + 2; f = m + 10; d = f + 20; m = 19; t = w + 14; y = t + 13; l = d + 7; x = m + 9; w = x + 13. If m = 19, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 2 to i, which gives i = y + 4.\n2. Substitute y = t + 13 to i, which gives i = t + 17.\n3. Substitute t = w + 14 to i, which gives i = w + 31.\n4. Substitute w = x + 13 to i, which gives i = x + 44.\n5. Substitute x = m + 9 to i, which gives i = m + 53.\n6. Substitute m = 19 to i, which gives i = 72.\n\nThus, the final answer is i = \\boxed{72}.",
"index": 12083,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = y + 2; e = h + 13; h = q + 11; q = l + 19; i = z + 2; f = m + 10; d = f + 20; m = 19; t = w + 14; y = t + 13; l = d + 7; x = m + 9; w = x + 13. If m = 19, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 16", "w": "g + 9", "h": "w + 5", "l": "h + 18", "a": "l + 17", "d": "a + 3", "b": "z + 2", "p": "b + 19", "s": "p + 7", "q": "s + 14", "v": "q + 3", "j": "v + 19", "z": 20}, "premises": {"z": 20}, "target": "d"}, "answer": {"steps": [["a", "l + 17", "l + 20"], ["l", "h + 18", "h + 38"], ["h", "w + 5", "w + 43"], ["w", "g + 9", "g + 52"], ["g", "z + 16", "z + 68"], ["z", 20, "88"]], "target_var_name": "d", "target_value": 88, "value_dict": {"z": 20}, "is_reverse": true}} | 12,084 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = z + 2; s = p + 7; z = 20; v = q + 3; w = g + 9; g = z + 16; j = v + 19; a = l + 17; d = a + 3; p = b + 19; l = h + 18; h = w + 5; q = s + 14. Given that z = 20, 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 a = l + 17 to d, which gives d = l + 20.\n2. Substitute l = h + 18 to d, which gives d = h + 38.\n3. Substitute h = w + 5 to d, which gives d = w + 43.\n4. Substitute w = g + 9 to d, which gives d = g + 52.\n5. Substitute g = z + 16 to d, which gives d = z + 68.\n6. Substitute z = 20 to d, which gives d = 88.\n\nThus, the final answer is d = \\boxed{88}.",
"index": 12084,
"question": "Suppose a collection of variables is related by the following definitions: b = z + 2; s = p + 7; z = 20; v = q + 3; w = g + 9; g = z + 16; j = v + 19; a = l + 17; d = a + 3; p = b + 19; l = h + 18; h = w + 5; q = s + 14. Given that z = 20, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 2", "h": "x + 12", "j": "h + 1", "c": "j + 10", "e": "c + 20", "d": "e + 20", "n": "v + 17", "k": "n + 4", "o": "k + 8", "l": "o + 19", "m": "l + 3", "i": "m + 16", "v": 5}, "premises": {"v": 5}, "target": "d"}, "answer": {"steps": [["e", "c + 20", "c + 40"], ["c", "j + 10", "j + 50"], ["j", "h + 1", "h + 51"], ["h", "x + 12", "x + 63"], ["x", "v + 2", "v + 65"], ["v", 5, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"v": 5}, "is_reverse": true}} | 12,085 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = h + 1; d = e + 20; x = v + 2; k = n + 4; e = c + 20; m = l + 3; i = m + 16; v = 5; h = x + 12; o = k + 8; c = j + 10; l = o + 19; n = v + 17. Given that v = 5, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 20 to d, which gives d = c + 40.\n2. Substitute c = j + 10 to d, which gives d = j + 50.\n3. Substitute j = h + 1 to d, which gives d = h + 51.\n4. Substitute h = x + 12 to d, which gives d = x + 63.\n5. Substitute x = v + 2 to d, which gives d = v + 65.\n6. Substitute v = 5 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 12085,
"question": "Suppose a collection of variables is related by the following definitions: j = h + 1; d = e + 20; x = v + 2; k = n + 4; e = c + 20; m = l + 3; i = m + 16; v = 5; h = x + 12; o = k + 8; c = j + 10; l = o + 19; n = v + 17. Given that v = 5, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 9", "d": "h + 15", "n": "d + 18", "e": "n + 7", "x": "e + 15", "u": "x + 17", "l": "g + 4", "z": "l + 5", "q": "z + 1", "v": "q + 4", "a": "v + 4", "r": "a + 5", "g": 8}, "premises": {"g": 8}, "target": "u"}, "answer": {"steps": [["x", "e + 15", "e + 32"], ["e", "n + 7", "n + 39"], ["n", "d + 18", "d + 57"], ["d", "h + 15", "h + 72"], ["h", "g + 9", "g + 81"], ["g", 8, "89"]], "target_var_name": "u", "target_value": 89, "value_dict": {"g": 8}, "is_reverse": true}} | 12,086 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = a + 5; x = e + 15; d = h + 15; e = n + 7; g = 8; v = q + 4; l = g + 4; u = x + 17; q = z + 1; a = v + 4; h = g + 9; n = d + 18; z = l + 5. If g = 8, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 15 to u, which gives u = e + 32.\n2. Substitute e = n + 7 to u, which gives u = n + 39.\n3. Substitute n = d + 18 to u, which gives u = d + 57.\n4. Substitute d = h + 15 to u, which gives u = h + 72.\n5. Substitute h = g + 9 to u, which gives u = g + 81.\n6. Substitute g = 8 to u, which gives u = 89.\n\nThus, the final answer is u = \\boxed{89}.",
"index": 12086,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = a + 5; x = e + 15; d = h + 15; e = n + 7; g = 8; v = q + 4; l = g + 4; u = x + 17; q = z + 1; a = v + 4; h = g + 9; n = d + 18; z = l + 5. If g = 8, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 6", "e": "v + 4", "x": "e + 2", "w": "x + 19", "c": "w + 15", "r": "c + 16", "y": "t + 20", "i": "y + 19", "j": "i + 7", "s": "j + 18", "p": "s + 4", "z": "p + 18", "t": 14}, "premises": {"t": 14}, "target": "r"}, "answer": {"steps": [["c", "w + 15", "w + 31"], ["w", "x + 19", "x + 50"], ["x", "e + 2", "e + 52"], ["e", "v + 4", "v + 56"], ["v", "t + 6", "t + 62"], ["t", 14, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"t": 14}, "is_reverse": true}} | 12,087 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = t + 20; z = p + 18; r = c + 16; i = y + 19; e = v + 4; j = i + 7; t = 14; w = x + 19; c = w + 15; v = t + 6; x = e + 2; p = s + 4; s = j + 18. If t = 14, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 15 to r, which gives r = w + 31.\n2. Substitute w = x + 19 to r, which gives r = x + 50.\n3. Substitute x = e + 2 to r, which gives r = e + 52.\n4. Substitute e = v + 4 to r, which gives r = v + 56.\n5. Substitute v = t + 6 to r, which gives r = t + 62.\n6. Substitute t = 14 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 12087,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = t + 20; z = p + 18; r = c + 16; i = y + 19; e = v + 4; j = i + 7; t = 14; w = x + 19; c = w + 15; v = t + 6; x = e + 2; p = s + 4; s = j + 18. If t = 14, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 12", "f": "j + 3", "n": "f + 20", "v": "n + 15", "c": "v + 16", "a": "c + 6", "m": "h + 12", "k": "m + 17", "l": "k + 5", "z": "l + 19", "s": "z + 18", "b": "s + 18", "h": 15}, "premises": {"h": 15}, "target": "a"}, "answer": {"steps": [["c", "v + 16", "v + 22"], ["v", "n + 15", "n + 37"], ["n", "f + 20", "f + 57"], ["f", "j + 3", "j + 60"], ["j", "h + 12", "h + 72"], ["h", 15, "87"]], "target_var_name": "a", "target_value": 87, "value_dict": {"h": 15}, "is_reverse": true}} | 12,088 | 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 + 18; h = 15; z = l + 19; v = n + 15; c = v + 16; b = s + 18; k = m + 17; n = f + 20; a = c + 6; l = k + 5; j = h + 12; f = j + 3; m = h + 12. If h = 15, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 16 to a, which gives a = v + 22.\n2. Substitute v = n + 15 to a, which gives a = n + 37.\n3. Substitute n = f + 20 to a, which gives a = f + 57.\n4. Substitute f = j + 3 to a, which gives a = j + 60.\n5. Substitute j = h + 12 to a, which gives a = h + 72.\n6. Substitute h = 15 to a, which gives a = 87.\n\nThus, the final answer is a = \\boxed{87}.",
"index": 12088,
"question": "Consider a system of variables where each variable is defined as follows: s = z + 18; h = 15; z = l + 19; v = n + 15; c = v + 16; b = s + 18; k = m + 17; n = f + 20; a = c + 6; l = k + 5; j = h + 12; f = j + 3; m = h + 12. If h = 15, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 2", "n": "y + 2", "g": "n + 18", "r": "g + 10", "b": "r + 4", "s": "b + 20", "q": "f + 18", "t": "q + 10", "h": "t + 3", "m": "h + 14", "c": "m + 7", "x": "c + 10", "f": 7}, "premises": {"f": 7}, "target": "s"}, "answer": {"steps": [["b", "r + 4", "r + 24"], ["r", "g + 10", "g + 34"], ["g", "n + 18", "n + 52"], ["n", "y + 2", "y + 54"], ["y", "f + 2", "f + 56"], ["f", 7, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"f": 7}, "is_reverse": true}} | 12,089 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = r + 4; s = b + 20; m = h + 14; x = c + 10; h = t + 3; n = y + 2; f = 7; y = f + 2; r = g + 10; t = q + 10; q = f + 18; g = n + 18; c = m + 7. If f = 7, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 4 to s, which gives s = r + 24.\n2. Substitute r = g + 10 to s, which gives s = g + 34.\n3. Substitute g = n + 18 to s, which gives s = n + 52.\n4. Substitute n = y + 2 to s, which gives s = y + 54.\n5. Substitute y = f + 2 to s, which gives s = f + 56.\n6. Substitute f = 7 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 12089,
"question": "Consider a system of variables where each variable is defined as follows: b = r + 4; s = b + 20; m = h + 14; x = c + 10; h = t + 3; n = y + 2; f = 7; y = f + 2; r = g + 10; t = q + 10; q = f + 18; g = n + 18; c = m + 7. If f = 7, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 20", "r": "a + 2", "s": "r + 4", "k": "s + 6", "u": "k + 10", "c": "u + 8", "w": "y + 15", "h": "w + 9", "m": "h + 14", "f": "m + 19", "i": "f + 2", "j": "i + 4", "y": 8}, "premises": {"y": 8}, "target": "c"}, "answer": {"steps": [["u", "k + 10", "k + 18"], ["k", "s + 6", "s + 24"], ["s", "r + 4", "r + 28"], ["r", "a + 2", "a + 30"], ["a", "y + 20", "y + 50"], ["y", 8, "58"]], "target_var_name": "c", "target_value": 58, "value_dict": {"y": 8}, "is_reverse": true}} | 12,090 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = r + 4; m = h + 14; r = a + 2; a = y + 20; c = u + 8; j = i + 4; f = m + 19; u = k + 10; k = s + 6; i = f + 2; y = 8; w = y + 15; h = w + 9. Given that y = 8, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 10 to c, which gives c = k + 18.\n2. Substitute k = s + 6 to c, which gives c = s + 24.\n3. Substitute s = r + 4 to c, which gives c = r + 28.\n4. Substitute r = a + 2 to c, which gives c = a + 30.\n5. Substitute a = y + 20 to c, which gives c = y + 50.\n6. Substitute y = 8 to c, which gives c = 58.\n\nThus, the final answer is c = \\boxed{58}.",
"index": 12090,
"question": "Suppose a collection of variables is related by the following definitions: s = r + 4; m = h + 14; r = a + 2; a = y + 20; c = u + 8; j = i + 4; f = m + 19; u = k + 10; k = s + 6; i = f + 2; y = 8; w = y + 15; h = w + 9. Given that y = 8, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 5", "t": "k + 11", "y": "t + 12", "z": "y + 11", "p": "z + 4", "w": "p + 15", "n": "e + 12", "d": "n + 16", "f": "d + 14", "m": "f + 10", "a": "m + 20", "u": "a + 15", "e": 17}, "premises": {"e": 17}, "target": "w"}, "answer": {"steps": [["p", "z + 4", "z + 19"], ["z", "y + 11", "y + 30"], ["y", "t + 12", "t + 42"], ["t", "k + 11", "k + 53"], ["k", "e + 5", "e + 58"], ["e", 17, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"e": 17}, "is_reverse": true}} | 12,091 | 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 = e + 12; z = y + 11; f = d + 14; t = k + 11; e = 17; p = z + 4; m = f + 10; w = p + 15; a = m + 20; k = e + 5; d = n + 16; u = a + 15; y = t + 12. If e = 17, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 4 to w, which gives w = z + 19.\n2. Substitute z = y + 11 to w, which gives w = y + 30.\n3. Substitute y = t + 12 to w, which gives w = t + 42.\n4. Substitute t = k + 11 to w, which gives w = k + 53.\n5. Substitute k = e + 5 to w, which gives w = e + 58.\n6. Substitute e = 17 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 12091,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = e + 12; z = y + 11; f = d + 14; t = k + 11; e = 17; p = z + 4; m = f + 10; w = p + 15; a = m + 20; k = e + 5; d = n + 16; u = a + 15; y = t + 12. If e = 17, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 3", "f": "q + 1", "v": "f + 1", "u": "v + 9", "w": "u + 5", "h": "w + 16", "o": "y + 1", "s": "o + 12", "i": "s + 1", "r": "i + 6", "d": "r + 5", "l": "d + 14", "y": 6}, "premises": {"y": 6}, "target": "h"}, "answer": {"steps": [["w", "u + 5", "u + 21"], ["u", "v + 9", "v + 30"], ["v", "f + 1", "f + 31"], ["f", "q + 1", "q + 32"], ["q", "y + 3", "y + 35"], ["y", 6, "41"]], "target_var_name": "h", "target_value": 41, "value_dict": {"y": 6}, "is_reverse": true}} | 12,092 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = f + 1; q = y + 3; u = v + 9; o = y + 1; l = d + 14; d = r + 5; y = 6; r = i + 6; i = s + 1; h = w + 16; f = q + 1; w = u + 5; s = o + 12. If y = 6, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 5 to h, which gives h = u + 21.\n2. Substitute u = v + 9 to h, which gives h = v + 30.\n3. Substitute v = f + 1 to h, which gives h = f + 31.\n4. Substitute f = q + 1 to h, which gives h = q + 32.\n5. Substitute q = y + 3 to h, which gives h = y + 35.\n6. Substitute y = 6 to h, which gives h = 41.\n\nThus, the final answer is h = \\boxed{41}.",
"index": 12092,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = f + 1; q = y + 3; u = v + 9; o = y + 1; l = d + 14; d = r + 5; y = 6; r = i + 6; i = s + 1; h = w + 16; f = q + 1; w = u + 5; s = o + 12. If y = 6, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 6", "p": "i + 12", "v": "p + 4", "r": "v + 19", "z": "r + 3", "n": "z + 18", "y": "c + 14", "e": "y + 20", "b": "e + 11", "k": "b + 20", "x": "k + 19", "u": "x + 6", "c": 13}, "premises": {"c": 13}, "target": "n"}, "answer": {"steps": [["z", "r + 3", "r + 21"], ["r", "v + 19", "v + 40"], ["v", "p + 4", "p + 44"], ["p", "i + 12", "i + 56"], ["i", "c + 6", "c + 62"], ["c", 13, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"c": 13}, "is_reverse": true}} | 12,093 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = v + 19; p = i + 12; n = z + 18; e = y + 20; x = k + 19; k = b + 20; v = p + 4; b = e + 11; i = c + 6; z = r + 3; u = x + 6; c = 13; y = c + 14. If c = 13, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 3 to n, which gives n = r + 21.\n2. Substitute r = v + 19 to n, which gives n = v + 40.\n3. Substitute v = p + 4 to n, which gives n = p + 44.\n4. Substitute p = i + 12 to n, which gives n = i + 56.\n5. Substitute i = c + 6 to n, which gives n = c + 62.\n6. Substitute c = 13 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 12093,
"question": "Consider a system of variables where each variable is defined as follows: r = v + 19; p = i + 12; n = z + 18; e = y + 20; x = k + 19; k = b + 20; v = p + 4; b = e + 11; i = c + 6; z = r + 3; u = x + 6; c = 13; y = c + 14. If c = 13, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"q": "f + 4", "a": "q + 15", "i": "a + 9", "y": "i + 20", "m": "y + 4", "p": "m + 18", "w": "f + 14", "r": "w + 20", "v": "r + 3", "e": "v + 13", "c": "e + 1", "u": "c + 2", "f": 6}, "premises": {"f": 6}, "target": "p"}, "answer": {"steps": [["m", "y + 4", "y + 22"], ["y", "i + 20", "i + 42"], ["i", "a + 9", "a + 51"], ["a", "q + 15", "q + 66"], ["q", "f + 4", "f + 70"], ["f", 6, "76"]], "target_var_name": "p", "target_value": 76, "value_dict": {"f": 6}, "is_reverse": true}} | 12,094 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = i + 20; p = m + 18; m = y + 4; c = e + 1; v = r + 3; f = 6; i = a + 9; e = v + 13; q = f + 4; u = c + 2; a = q + 15; r = w + 20; w = f + 14. If f = 6, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 4 to p, which gives p = y + 22.\n2. Substitute y = i + 20 to p, which gives p = i + 42.\n3. Substitute i = a + 9 to p, which gives p = a + 51.\n4. Substitute a = q + 15 to p, which gives p = q + 66.\n5. Substitute q = f + 4 to p, which gives p = f + 70.\n6. Substitute f = 6 to p, which gives p = 76.\n\nThus, the final answer is p = \\boxed{76}.",
"index": 12094,
"question": "Consider a system of variables where each variable is defined as follows: y = i + 20; p = m + 18; m = y + 4; c = e + 1; v = r + 3; f = 6; i = a + 9; e = v + 13; q = f + 4; u = c + 2; a = q + 15; r = w + 20; w = f + 14. If f = 6, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 1", "r": "f + 11", "u": "r + 9", "t": "u + 17", "s": "t + 4", "w": "s + 2", "d": "n + 16", "c": "d + 13", "o": "c + 20", "y": "o + 3", "j": "y + 16", "i": "j + 15", "n": 5}, "premises": {"n": 5}, "target": "w"}, "answer": {"steps": [["s", "t + 4", "t + 6"], ["t", "u + 17", "u + 23"], ["u", "r + 9", "r + 32"], ["r", "f + 11", "f + 43"], ["f", "n + 1", "n + 44"], ["n", 5, "49"]], "target_var_name": "w", "target_value": 49, "value_dict": {"n": 5}, "is_reverse": true}} | 12,095 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 3; r = f + 11; w = s + 2; n = 5; i = j + 15; d = n + 16; f = n + 1; s = t + 4; t = u + 17; c = d + 13; u = r + 9; j = y + 16; o = c + 20. If n = 5, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 4 to w, which gives w = t + 6.\n2. Substitute t = u + 17 to w, which gives w = u + 23.\n3. Substitute u = r + 9 to w, which gives w = r + 32.\n4. Substitute r = f + 11 to w, which gives w = f + 43.\n5. Substitute f = n + 1 to w, which gives w = n + 44.\n6. Substitute n = 5 to w, which gives w = 49.\n\nThus, the final answer is w = \\boxed{49}.",
"index": 12095,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 3; r = f + 11; w = s + 2; n = 5; i = j + 15; d = n + 16; f = n + 1; s = t + 4; t = u + 17; c = d + 13; u = r + 9; j = y + 16; o = c + 20. If n = 5, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 8", "q": "z + 5", "e": "q + 19", "v": "e + 12", "d": "v + 3", "n": "d + 4", "s": "r + 7", "x": "s + 13", "l": "x + 13", "b": "l + 10", "t": "b + 15", "i": "t + 8", "r": 3}, "premises": {"r": 3}, "target": "n"}, "answer": {"steps": [["d", "v + 3", "v + 7"], ["v", "e + 12", "e + 19"], ["e", "q + 19", "q + 38"], ["q", "z + 5", "z + 43"], ["z", "r + 8", "r + 51"], ["r", 3, "54"]], "target_var_name": "n", "target_value": 54, "value_dict": {"r": 3}, "is_reverse": true}} | 12,096 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 12; e = q + 19; t = b + 15; i = t + 8; l = x + 13; x = s + 13; b = l + 10; q = z + 5; r = 3; s = r + 7; d = v + 3; n = d + 4; z = r + 8. If r = 3, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 3 to n, which gives n = v + 7.\n2. Substitute v = e + 12 to n, which gives n = e + 19.\n3. Substitute e = q + 19 to n, which gives n = q + 38.\n4. Substitute q = z + 5 to n, which gives n = z + 43.\n5. Substitute z = r + 8 to n, which gives n = r + 51.\n6. Substitute r = 3 to n, which gives n = 54.\n\nThus, the final answer is n = \\boxed{54}.",
"index": 12096,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 12; e = q + 19; t = b + 15; i = t + 8; l = x + 13; x = s + 13; b = l + 10; q = z + 5; r = 3; s = r + 7; d = v + 3; n = d + 4; z = r + 8. If r = 3, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 2", "u": "f + 16", "a": "u + 1", "m": "a + 2", "h": "m + 3", "o": "h + 4", "j": "g + 12", "k": "j + 17", "b": "k + 17", "l": "b + 14", "r": "l + 11", "c": "r + 11", "g": 12}, "premises": {"g": 12}, "target": "o"}, "answer": {"steps": [["h", "m + 3", "m + 7"], ["m", "a + 2", "a + 9"], ["a", "u + 1", "u + 10"], ["u", "f + 16", "f + 26"], ["f", "g + 2", "g + 28"], ["g", 12, "40"]], "target_var_name": "o", "target_value": 40, "value_dict": {"g": 12}, "is_reverse": true}} | 12,097 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 1; u = f + 16; b = k + 17; g = 12; f = g + 2; r = l + 11; k = j + 17; o = h + 4; c = r + 11; h = m + 3; m = a + 2; j = g + 12; l = b + 14. If g = 12, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 3 to o, which gives o = m + 7.\n2. Substitute m = a + 2 to o, which gives o = a + 9.\n3. Substitute a = u + 1 to o, which gives o = u + 10.\n4. Substitute u = f + 16 to o, which gives o = f + 26.\n5. Substitute f = g + 2 to o, which gives o = g + 28.\n6. Substitute g = 12 to o, which gives o = 40.\n\nThus, the final answer is o = \\boxed{40}.",
"index": 12097,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 1; u = f + 16; b = k + 17; g = 12; f = g + 2; r = l + 11; k = j + 17; o = h + 4; c = r + 11; h = m + 3; m = a + 2; j = g + 12; l = b + 14. If g = 12, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 10", "q": "f + 2", "k": "q + 5", "w": "k + 17", "n": "w + 14", "a": "n + 18", "j": "o + 9", "l": "j + 3", "r": "l + 3", "p": "r + 15", "v": "p + 4", "e": "v + 1", "o": 11}, "premises": {"o": 11}, "target": "a"}, "answer": {"steps": [["n", "w + 14", "w + 32"], ["w", "k + 17", "k + 49"], ["k", "q + 5", "q + 54"], ["q", "f + 2", "f + 56"], ["f", "o + 10", "o + 66"], ["o", 11, "77"]], "target_var_name": "a", "target_value": 77, "value_dict": {"o": 11}, "is_reverse": true}} | 12,098 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = o + 10; p = r + 15; r = l + 3; e = v + 1; j = o + 9; w = k + 17; a = n + 18; n = w + 14; v = p + 4; l = j + 3; k = q + 5; o = 11; q = f + 2. If o = 11, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 14 to a, which gives a = w + 32.\n2. Substitute w = k + 17 to a, which gives a = k + 49.\n3. Substitute k = q + 5 to a, which gives a = q + 54.\n4. Substitute q = f + 2 to a, which gives a = f + 56.\n5. Substitute f = o + 10 to a, which gives a = o + 66.\n6. Substitute o = 11 to a, which gives a = 77.\n\nThus, the final answer is a = \\boxed{77}.",
"index": 12098,
"question": "Consider a system of variables where each variable is defined as follows: f = o + 10; p = r + 15; r = l + 3; e = v + 1; j = o + 9; w = k + 17; a = n + 18; n = w + 14; v = p + 4; l = j + 3; k = q + 5; o = 11; q = f + 2. If o = 11, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 7", "x": "e + 15", "c": "x + 13", "d": "c + 11", "u": "d + 20", "p": "u + 10", "q": "g + 4", "a": "q + 19", "r": "a + 10", "s": "r + 9", "l": "s + 1", "k": "l + 17", "g": 18}, "premises": {"g": 18}, "target": "p"}, "answer": {"steps": [["u", "d + 20", "d + 30"], ["d", "c + 11", "c + 41"], ["c", "x + 13", "x + 54"], ["x", "e + 15", "e + 69"], ["e", "g + 7", "g + 76"], ["g", 18, "94"]], "target_var_name": "p", "target_value": 94, "value_dict": {"g": 18}, "is_reverse": true}} | 12,099 | 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 = x + 13; r = a + 10; s = r + 9; k = l + 17; x = e + 15; l = s + 1; g = 18; u = d + 20; d = c + 11; e = g + 7; p = u + 10; q = g + 4; a = q + 19. If g = 18, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 20 to p, which gives p = d + 30.\n2. Substitute d = c + 11 to p, which gives p = c + 41.\n3. Substitute c = x + 13 to p, which gives p = x + 54.\n4. Substitute x = e + 15 to p, which gives p = e + 69.\n5. Substitute e = g + 7 to p, which gives p = g + 76.\n6. Substitute g = 18 to p, which gives p = 94.\n\nThus, the final answer is p = \\boxed{94}.",
"index": 12099,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = x + 13; r = a + 10; s = r + 9; k = l + 17; x = e + 15; l = s + 1; g = 18; u = d + 20; d = c + 11; e = g + 7; p = u + 10; q = g + 4; a = q + 19. If g = 18, what is the resulting value of p?",
"split": "train"
} |
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