meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"p": "u + 7", "a": "p + 7", "r": "a + 16", "v": "r + 20", "k": "v + 16", "o": "k + 15", "z": "u + 6", "d": "z + 12", "w": "d + 9", "f": "w + 16", "e": "f + 13", "x": "e + 14", "u": 18}, "premises": {"u": 18}, "target": "o"}, "answer": {"steps": [["k", "v + 16", "v + 31"], ["v", "r + 20", "r + 51"], ["r", "a + 16", "a + 67"], ["a", "p + 7", "p + 74"], ["p", "u + 7", "u + 81"], ["u", 18, "99"]], "target_var_name": "o", "target_value": 99, "value_dict": {"u": 18}, "is_reverse": true}} | 14,900 | 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 = k + 15; p = u + 7; d = z + 12; f = w + 16; r = a + 16; k = v + 16; v = r + 20; x = e + 14; u = 18; a = p + 7; w = d + 9; z = u + 6; e = f + 13. If u = 18, what is the resulting value of o?",
"role": "us... | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 16 to o, which gives o = v + 31.\n2. Substitute v = r + 20 to o, which gives o = r + 51.\n3. Substitute r = a + 16 to o, which gives o = a + 67.\n4. Substitute a = p + 7 to o, which gives o = p + 74.\n5. Substitute p = u + 7 to o, which gives o = u + 81.\n6. Substitute u = 18 to o, which gives o = 99.\n\nThus, the final answer is o = \\boxed{99}.",
"index": 14900,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = k + 15; p = u + 7; d = z + 12; f = w + 16; r = a + 16; k = v + 16; v = r + 20; x = e + 14; u = 18; a = p + 7; w = d + 9; z = u + 6; e = f + 13. If u = 18, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"c": "d + 11", "h": "c + 11", "w": "h + 19", "g": "w + 16", "v": "g + 17", "m": "v + 16", "x": "d + 12", "a": "x + 5", "b": "a + 6", "z": "b + 20", "u": "z + 5", "q": "u + 1", "d": 9}, "premises": {"d": 9}, "target": "m"}, "answer": {"steps": [["v", "g + 17", "g + 33"], ["g", "w + 16", "w + 49"], ["w", "h + 19", "h + 68"], ["h", "c + 11", "c + 79"], ["c", "d + 11", "d + 90"], ["d", 9, "99"]], "target_var_name": "m", "target_value": 99, "value_dict": {"d": 9}, "is_reverse": true}} | 14,901 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = z + 5; m = v + 16; w = h + 19; q = u + 1; d = 9; x = d + 12; v = g + 17; c = d + 11; a = x + 5; h = c + 11; g = w + 16; b = a + 6; z = b + 20. Given that d = 9, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 17 to m, which gives m = g + 33.\n2. Substitute g = w + 16 to m, which gives m = w + 49.\n3. Substitute w = h + 19 to m, which gives m = h + 68.\n4. Substitute h = c + 11 to m, which gives m = c + 79.\n5. Substitute c = d + 11 to m, which gives m = d + 90.\n6. Substitute d = 9 to m, which gives m = 99.\n\nThus, the final answer is m = \\boxed{99}.",
"index": 14901,
"question": "Suppose a collection of variables is related by the following definitions: u = z + 5; m = v + 16; w = h + 19; q = u + 1; d = 9; x = d + 12; v = g + 17; c = d + 11; a = x + 5; h = c + 11; g = w + 16; b = a + 6; z = b + 20. Given that d = 9, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 2", "b": "i + 3", "y": "b + 18", "l": "y + 14", "v": "l + 13", "s": "v + 6", "x": "a + 13", "r": "x + 1", "j": "r + 11", "e": "j + 10", "t": "e + 17", "d": "t + 17", "a": 6}, "premises": {"a": 6}, "target": "s"}, "answer": {"steps": [["v", "l + 13", "l + 19"], ["l", "y + 14", "y + 33"], ["y", "b + 18", "b + 51"], ["b", "i + 3", "i + 54"], ["i", "a + 2", "a + 56"], ["a", 6, "62"]], "target_var_name": "s", "target_value": 62, "value_dict": {"a": 6}, "is_reverse": true}} | 14,902 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = a + 2; r = x + 1; y = b + 18; t = e + 17; v = l + 13; j = r + 11; d = t + 17; s = v + 6; x = a + 13; e = j + 10; a = 6; l = y + 14; b = i + 3. If a = 6, what is the resulting value of s?",
"role": "user... | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 13 to s, which gives s = l + 19.\n2. Substitute l = y + 14 to s, which gives s = y + 33.\n3. Substitute y = b + 18 to s, which gives s = b + 51.\n4. Substitute b = i + 3 to s, which gives s = i + 54.\n5. Substitute i = a + 2 to s, which gives s = a + 56.\n6. Substitute a = 6 to s, which gives s = 62.\n\nThus, the final answer is s = \\boxed{62}.",
"index": 14902,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = a + 2; r = x + 1; y = b + 18; t = e + 17; v = l + 13; j = r + 11; d = t + 17; s = v + 6; x = a + 13; e = j + 10; a = 6; l = y + 14; b = i + 3. If a = 6, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 16", "o": "j + 13", "h": "o + 10", "c": "h + 5", "d": "c + 16", "s": "d + 13", "m": "v + 3", "l": "m + 8", "x": "l + 9", "r": "x + 17", "k": "r + 6", "t": "k + 10", "v": 8}, "premises": {"v": 8}, "target": "s"}, "answer": {"steps": [["d", "c + 16", "c + 29"], ["c", "h + 5", "h + 34"], ["h", "o + 10", "o + 44"], ["o", "j + 13", "j + 57"], ["j", "v + 16", "v + 73"], ["v", 8, "81"]], "target_var_name": "s", "target_value": 81, "value_dict": {"v": 8}, "is_reverse": true}} | 14,903 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = h + 5; o = j + 13; v = 8; k = r + 6; x = l + 9; r = x + 17; m = v + 3; s = d + 13; d = c + 16; h = o + 10; l = m + 8; t = k + 10; j = v + 16. Given that v = 8, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 16 to s, which gives s = c + 29.\n2. Substitute c = h + 5 to s, which gives s = h + 34.\n3. Substitute h = o + 10 to s, which gives s = o + 44.\n4. Substitute o = j + 13 to s, which gives s = j + 57.\n5. Substitute j = v + 16 to s, which gives s = v + 73.\n6. Substitute v = 8 to s, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 14903,
"question": "Suppose a collection of variables is related by the following definitions: c = h + 5; o = j + 13; v = 8; k = r + 6; x = l + 9; r = x + 17; m = v + 3; s = d + 13; d = c + 16; h = o + 10; l = m + 8; t = k + 10; j = v + 16. Given that v = 8, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 6", "j": "y + 8", "n": "j + 9", "d": "n + 9", "g": "d + 3", "r": "g + 11", "s": "k + 4", "p": "s + 20", "h": "p + 8", "l": "h + 1", "a": "l + 2", "f": "a + 2", "k": 20}, "premises": {"k": 20}, "target": "r"}, "answer": {"steps": [["g", "d + 3", "d + 14"], ["d", "n + 9", "n + 23"], ["n", "j + 9", "j + 32"], ["j", "y + 8", "y + 40"], ["y", "k + 6", "k + 46"], ["k", 20, "66"]], "target_var_name": "r", "target_value": 66, "value_dict": {"k": 20}, "is_reverse": true}} | 14,904 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = k + 4; g = d + 3; j = y + 8; f = a + 2; d = n + 9; l = h + 1; p = s + 20; n = j + 9; r = g + 11; a = l + 2; h = p + 8; y = k + 6; k = 20. If k = 20, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 3 to r, which gives r = d + 14.\n2. Substitute d = n + 9 to r, which gives r = n + 23.\n3. Substitute n = j + 9 to r, which gives r = j + 32.\n4. Substitute j = y + 8 to r, which gives r = y + 40.\n5. Substitute y = k + 6 to r, which gives r = k + 46.\n6. Substitute k = 20 to r, which gives r = 66.\n\nThus, the final answer is r = \\boxed{66}.",
"index": 14904,
"question": "Consider a system of variables where each variable is defined as follows: s = k + 4; g = d + 3; j = y + 8; f = a + 2; d = n + 9; l = h + 1; p = s + 20; n = j + 9; r = g + 11; a = l + 2; h = p + 8; y = k + 6; k = 20. If k = 20, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"p": "n + 3", "v": "p + 4", "s": "v + 10", "j": "s + 6", "b": "j + 14", "h": "b + 10", "c": "n + 7", "g": "c + 3", "d": "g + 7", "r": "d + 9", "x": "r + 3", "e": "x + 12", "n": 16}, "premises": {"n": 16}, "target": "h"}, "answer": {"steps": [["b", "j + 14", "j + 24"], ["j", "s + 6", "s + 30"], ["s", "v + 10", "v + 40"], ["v", "p + 4", "p + 44"], ["p", "n + 3", "n + 47"], ["n", 16, "63"]], "target_var_name": "h", "target_value": 63, "value_dict": {"n": 16}, "is_reverse": true}} | 14,905 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = p + 4; c = n + 7; n = 16; b = j + 14; e = x + 12; j = s + 6; g = c + 3; x = r + 3; s = v + 10; r = d + 9; p = n + 3; h = b + 10; d = g + 7. Given that n = 16, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 14 to h, which gives h = j + 24.\n2. Substitute j = s + 6 to h, which gives h = s + 30.\n3. Substitute s = v + 10 to h, which gives h = v + 40.\n4. Substitute v = p + 4 to h, which gives h = p + 44.\n5. Substitute p = n + 3 to h, which gives h = n + 47.\n6. Substitute n = 16 to h, which gives h = 63.\n\nThus, the final answer is h = \\boxed{63}.",
"index": 14905,
"question": "Suppose a collection of variables is related by the following definitions: v = p + 4; c = n + 7; n = 16; b = j + 14; e = x + 12; j = s + 6; g = c + 3; x = r + 3; s = v + 10; r = d + 9; p = n + 3; h = b + 10; d = g + 7. Given that n = 16, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 19", "y": "u + 5", "f": "y + 1", "l": "f + 16", "j": "l + 5", "x": "j + 5", "s": "t + 12", "k": "s + 1", "a": "k + 15", "v": "a + 6", "z": "v + 12", "o": "z + 19", "t": 15}, "premises": {"t": 15}, "target": "x"}, "answer": {"steps": [["j", "l + 5", "l + 10"], ["l", "f + 16", "f + 26"], ["f", "y + 1", "y + 27"], ["y", "u + 5", "u + 32"], ["u", "t + 19", "t + 51"], ["t", 15, "66"]], "target_var_name": "x", "target_value": 66, "value_dict": {"t": 15}, "is_reverse": true}} | 14,906 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = u + 5; k = s + 1; l = f + 16; j = l + 5; t = 15; x = j + 5; f = y + 1; o = z + 19; u = t + 19; s = t + 12; v = a + 6; z = v + 12; a = k + 15. Given that t = 15, find the 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 j = l + 5 to x, which gives x = l + 10.\n2. Substitute l = f + 16 to x, which gives x = f + 26.\n3. Substitute f = y + 1 to x, which gives x = y + 27.\n4. Substitute y = u + 5 to x, which gives x = u + 32.\n5. Substitute u = t + 19 to x, which gives x = t + 51.\n6. Substitute t = 15 to x, which gives x = 66.\n\nThus, the final answer is x = \\boxed{66}.",
"index": 14906,
"question": "Suppose a collection of variables is related by the following definitions: y = u + 5; k = s + 1; l = f + 16; j = l + 5; t = 15; x = j + 5; f = y + 1; o = z + 19; u = t + 19; s = t + 12; v = a + 6; z = v + 12; a = k + 15. Given that t = 15, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"b": "m + 9", "g": "b + 5", "t": "g + 2", "k": "t + 14", "s": "k + 3", "w": "s + 3", "p": "m + 8", "u": "p + 12", "q": "u + 20", "j": "q + 9", "o": "j + 5", "z": "o + 16", "m": 5}, "premises": {"m": 5}, "target": "w"}, "answer": {"steps": [["s", "k + 3", "k + 6"], ["k", "t + 14", "t + 20"], ["t", "g + 2", "g + 22"], ["g", "b + 5", "b + 27"], ["b", "m + 9", "m + 36"], ["m", 5, "41"]], "target_var_name": "w", "target_value": 41, "value_dict": {"m": 5}, "is_reverse": true}} | 14,907 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = 5; o = j + 5; t = g + 2; w = s + 3; p = m + 8; j = q + 9; s = k + 3; q = u + 20; u = p + 12; b = m + 9; g = b + 5; k = t + 14; z = o + 16. If m = 5, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 3 to w, which gives w = k + 6.\n2. Substitute k = t + 14 to w, which gives w = t + 20.\n3. Substitute t = g + 2 to w, which gives w = g + 22.\n4. Substitute g = b + 5 to w, which gives w = b + 27.\n5. Substitute b = m + 9 to w, which gives w = m + 36.\n6. Substitute m = 5 to w, which gives w = 41.\n\nThus, the final answer is w = \\boxed{41}.",
"index": 14907,
"question": "Consider a system of variables where each variable is defined as follows: m = 5; o = j + 5; t = g + 2; w = s + 3; p = m + 8; j = q + 9; s = k + 3; q = u + 20; u = p + 12; b = m + 9; g = b + 5; k = t + 14; z = o + 16. If m = 5, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 11", "d": "q + 4", "m": "d + 9", "p": "m + 14", "n": "p + 5", "i": "n + 10", "w": "e + 4", "g": "w + 6", "s": "g + 2", "a": "s + 20", "y": "a + 13", "z": "y + 8", "e": 14}, "premises": {"e": 14}, "target": "i"}, "answer": {"steps": [["n", "p + 5", "p + 15"], ["p", "m + 14", "m + 29"], ["m", "d + 9", "d + 38"], ["d", "q + 4", "q + 42"], ["q", "e + 11", "e + 53"], ["e", 14, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"e": 14}, "is_reverse": true}} | 14,908 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = a + 13; m = d + 9; g = w + 6; e = 14; p = m + 14; i = n + 10; w = e + 4; s = g + 2; z = y + 8; d = q + 4; a = s + 20; n = p + 5; q = e + 11. Given that e = 14, 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 n = p + 5 to i, which gives i = p + 15.\n2. Substitute p = m + 14 to i, which gives i = m + 29.\n3. Substitute m = d + 9 to i, which gives i = d + 38.\n4. Substitute d = q + 4 to i, which gives i = q + 42.\n5. Substitute q = e + 11 to i, which gives i = e + 53.\n6. Substitute e = 14 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 14908,
"question": "Suppose a collection of variables is related by the following definitions: y = a + 13; m = d + 9; g = w + 6; e = 14; p = m + 14; i = n + 10; w = e + 4; s = g + 2; z = y + 8; d = q + 4; a = s + 20; n = p + 5; q = e + 11. Given that e = 14, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 6", "w": "h + 4", "z": "w + 14", "y": "z + 19", "b": "y + 2", "g": "b + 3", "s": "r + 5", "q": "s + 12", "u": "q + 12", "o": "u + 6", "l": "o + 3", "v": "l + 20", "r": 2}, "premises": {"r": 2}, "target": "g"}, "answer": {"steps": [["b", "y + 2", "y + 5"], ["y", "z + 19", "z + 24"], ["z", "w + 14", "w + 38"], ["w", "h + 4", "h + 42"], ["h", "r + 6", "r + 48"], ["r", 2, "50"]], "target_var_name": "g", "target_value": 50, "value_dict": {"r": 2}, "is_reverse": true}} | 14,909 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = o + 3; y = z + 19; z = w + 14; v = l + 20; b = y + 2; w = h + 4; u = q + 12; o = u + 6; r = 2; s = r + 5; h = r + 6; q = s + 12; g = b + 3. If r = 2, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 2 to g, which gives g = y + 5.\n2. Substitute y = z + 19 to g, which gives g = z + 24.\n3. Substitute z = w + 14 to g, which gives g = w + 38.\n4. Substitute w = h + 4 to g, which gives g = h + 42.\n5. Substitute h = r + 6 to g, which gives g = r + 48.\n6. Substitute r = 2 to g, which gives g = 50.\n\nThus, the final answer is g = \\boxed{50}.",
"index": 14909,
"question": "Consider a system of variables where each variable is defined as follows: l = o + 3; y = z + 19; z = w + 14; v = l + 20; b = y + 2; w = h + 4; u = q + 12; o = u + 6; r = 2; s = r + 5; h = r + 6; q = s + 12; g = b + 3. If r = 2, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 1", "b": "n + 18", "a": "b + 16", "g": "a + 19", "x": "g + 6", "c": "x + 14", "f": "e + 9", "z": "f + 6", "t": "z + 17", "y": "t + 13", "k": "y + 8", "w": "k + 1", "e": 9}, "premises": {"e": 9}, "target": "c"}, "answer": {"steps": [["x", "g + 6", "g + 20"], ["g", "a + 19", "a + 39"], ["a", "b + 16", "b + 55"], ["b", "n + 18", "n + 73"], ["n", "e + 1", "e + 74"], ["e", 9, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"e": 9}, "is_reverse": true}} | 14,910 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = f + 6; t = z + 17; n = e + 1; e = 9; w = k + 1; a = b + 16; y = t + 13; x = g + 6; c = x + 14; k = y + 8; b = n + 18; g = a + 19; f = e + 9. Given that e = 9, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 6 to c, which gives c = g + 20.\n2. Substitute g = a + 19 to c, which gives c = a + 39.\n3. Substitute a = b + 16 to c, which gives c = b + 55.\n4. Substitute b = n + 18 to c, which gives c = n + 73.\n5. Substitute n = e + 1 to c, which gives c = e + 74.\n6. Substitute e = 9 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 14910,
"question": "Suppose a collection of variables is related by the following definitions: z = f + 6; t = z + 17; n = e + 1; e = 9; w = k + 1; a = b + 16; y = t + 13; x = g + 6; c = x + 14; k = y + 8; b = n + 18; g = a + 19; f = e + 9. Given that e = 9, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 12", "n": "a + 7", "c": "n + 11", "j": "c + 18", "t": "j + 16", "r": "t + 6", "b": "p + 16", "o": "b + 16", "m": "o + 11", "v": "m + 18", "y": "v + 16", "s": "y + 11", "p": 2}, "premises": {"p": 2}, "target": "r"}, "answer": {"steps": [["t", "j + 16", "j + 22"], ["j", "c + 18", "c + 40"], ["c", "n + 11", "n + 51"], ["n", "a + 7", "a + 58"], ["a", "p + 12", "p + 70"], ["p", 2, "72"]], "target_var_name": "r", "target_value": 72, "value_dict": {"p": 2}, "is_reverse": true}} | 14,911 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = n + 11; v = m + 18; j = c + 18; a = p + 12; s = y + 11; b = p + 16; r = t + 6; m = o + 11; p = 2; n = a + 7; o = b + 16; t = j + 16; y = v + 16. If p = 2, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 16 to r, which gives r = j + 22.\n2. Substitute j = c + 18 to r, which gives r = c + 40.\n3. Substitute c = n + 11 to r, which gives r = n + 51.\n4. Substitute n = a + 7 to r, which gives r = a + 58.\n5. Substitute a = p + 12 to r, which gives r = p + 70.\n6. Substitute p = 2 to r, which gives r = 72.\n\nThus, the final answer is r = \\boxed{72}.",
"index": 14911,
"question": "Consider a system of variables where each variable is defined as follows: c = n + 11; v = m + 18; j = c + 18; a = p + 12; s = y + 11; b = p + 16; r = t + 6; m = o + 11; p = 2; n = a + 7; o = b + 16; t = j + 16; y = v + 16. If p = 2, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"t": "n + 11", "c": "t + 12", "d": "c + 17", "q": "d + 15", "r": "q + 17", "b": "r + 4", "p": "n + 17", "o": "p + 13", "w": "o + 9", "g": "w + 10", "e": "g + 8", "j": "e + 19", "n": 18}, "premises": {"n": 18}, "target": "b"}, "answer": {"steps": [["r", "q + 17", "q + 21"], ["q", "d + 15", "d + 36"], ["d", "c + 17", "c + 53"], ["c", "t + 12", "t + 65"], ["t", "n + 11", "n + 76"], ["n", 18, "94"]], "target_var_name": "b", "target_value": 94, "value_dict": {"n": 18}, "is_reverse": true}} | 14,912 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = 18; q = d + 15; c = t + 12; b = r + 4; p = n + 17; w = o + 9; t = n + 11; r = q + 17; g = w + 10; j = e + 19; e = g + 8; d = c + 17; o = p + 13. Given that n = 18, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 17 to b, which gives b = q + 21.\n2. Substitute q = d + 15 to b, which gives b = d + 36.\n3. Substitute d = c + 17 to b, which gives b = c + 53.\n4. Substitute c = t + 12 to b, which gives b = t + 65.\n5. Substitute t = n + 11 to b, which gives b = n + 76.\n6. Substitute n = 18 to b, which gives b = 94.\n\nThus, the final answer is b = \\boxed{94}.",
"index": 14912,
"question": "Suppose a collection of variables is related by the following definitions: n = 18; q = d + 15; c = t + 12; b = r + 4; p = n + 17; w = o + 9; t = n + 11; r = q + 17; g = w + 10; j = e + 19; e = g + 8; d = c + 17; o = p + 13. Given that n = 18, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 14", "g": "m + 3", "s": "g + 9", "k": "s + 12", "q": "k + 2", "d": "q + 6", "y": "f + 17", "w": "y + 19", "j": "w + 16", "h": "j + 1", "l": "h + 7", "z": "l + 2", "f": 13}, "premises": {"f": 13}, "target": "d"}, "answer": {"steps": [["q", "k + 2", "k + 8"], ["k", "s + 12", "s + 20"], ["s", "g + 9", "g + 29"], ["g", "m + 3", "m + 32"], ["m", "f + 14", "f + 46"], ["f", 13, "59"]], "target_var_name": "d", "target_value": 59, "value_dict": {"f": 13}, "is_reverse": true}} | 14,913 | 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 = h + 7; z = l + 2; w = y + 19; d = q + 6; y = f + 17; k = s + 12; q = k + 2; j = w + 16; g = m + 3; f = 13; m = f + 14; s = g + 9; h = j + 1. If f = 13, what is the resulting 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 q = k + 2 to d, which gives d = k + 8.\n2. Substitute k = s + 12 to d, which gives d = s + 20.\n3. Substitute s = g + 9 to d, which gives d = g + 29.\n4. Substitute g = m + 3 to d, which gives d = m + 32.\n5. Substitute m = f + 14 to d, which gives d = f + 46.\n6. Substitute f = 13 to d, which gives d = 59.\n\nThus, the final answer is d = \\boxed{59}.",
"index": 14913,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 7; z = l + 2; w = y + 19; d = q + 6; y = f + 17; k = s + 12; q = k + 2; j = w + 16; g = m + 3; f = 13; m = f + 14; s = g + 9; h = j + 1. If f = 13, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 1", "t": "s + 12", "b": "t + 20", "d": "b + 12", "x": "d + 6", "z": "x + 4", "j": "r + 17", "l": "j + 17", "e": "l + 8", "n": "e + 2", "q": "n + 3", "g": "q + 13", "r": 13}, "premises": {"r": 13}, "target": "z"}, "answer": {"steps": [["x", "d + 6", "d + 10"], ["d", "b + 12", "b + 22"], ["b", "t + 20", "t + 42"], ["t", "s + 12", "s + 54"], ["s", "r + 1", "r + 55"], ["r", 13, "68"]], "target_var_name": "z", "target_value": 68, "value_dict": {"r": 13}, "is_reverse": true}} | 14,914 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = n + 3; l = j + 17; t = s + 12; n = e + 2; b = t + 20; s = r + 1; e = l + 8; j = r + 17; x = d + 6; g = q + 13; z = x + 4; r = 13; d = b + 12. Given that r = 13, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 6 to z, which gives z = d + 10.\n2. Substitute d = b + 12 to z, which gives z = b + 22.\n3. Substitute b = t + 20 to z, which gives z = t + 42.\n4. Substitute t = s + 12 to z, which gives z = s + 54.\n5. Substitute s = r + 1 to z, which gives z = r + 55.\n6. Substitute r = 13 to z, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 14914,
"question": "Suppose a collection of variables is related by the following definitions: q = n + 3; l = j + 17; t = s + 12; n = e + 2; b = t + 20; s = r + 1; e = l + 8; j = r + 17; x = d + 6; g = q + 13; z = x + 4; r = 13; d = b + 12. Given that r = 13, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 11", "q": "a + 6", "u": "q + 18", "o": "u + 16", "r": "o + 4", "z": "r + 3", "b": "i + 19", "e": "b + 4", "l": "e + 19", "f": "l + 18", "s": "f + 17", "n": "s + 1", "i": 3}, "premises": {"i": 3}, "target": "z"}, "answer": {"steps": [["r", "o + 4", "o + 7"], ["o", "u + 16", "u + 23"], ["u", "q + 18", "q + 41"], ["q", "a + 6", "a + 47"], ["a", "i + 11", "i + 58"], ["i", 3, "61"]], "target_var_name": "z", "target_value": 61, "value_dict": {"i": 3}, "is_reverse": true}} | 14,915 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = a + 6; a = i + 11; o = u + 16; u = q + 18; b = i + 19; r = o + 4; e = b + 4; z = r + 3; f = l + 18; n = s + 1; s = f + 17; i = 3; l = e + 19. If i = 3, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 4 to z, which gives z = o + 7.\n2. Substitute o = u + 16 to z, which gives z = u + 23.\n3. Substitute u = q + 18 to z, which gives z = q + 41.\n4. Substitute q = a + 6 to z, which gives z = a + 47.\n5. Substitute a = i + 11 to z, which gives z = i + 58.\n6. Substitute i = 3 to z, which gives z = 61.\n\nThus, the final answer is z = \\boxed{61}.",
"index": 14915,
"question": "Consider a system of variables where each variable is defined as follows: q = a + 6; a = i + 11; o = u + 16; u = q + 18; b = i + 19; r = o + 4; e = b + 4; z = r + 3; f = l + 18; n = s + 1; s = f + 17; i = 3; l = e + 19. If i = 3, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 16", "e": "o + 11", "m": "e + 18", "g": "m + 1", "f": "g + 2", "r": "f + 4", "k": "n + 13", "l": "k + 2", "q": "l + 10", "u": "q + 2", "c": "u + 12", "h": "c + 18", "n": 20}, "premises": {"n": 20}, "target": "r"}, "answer": {"steps": [["f", "g + 2", "g + 6"], ["g", "m + 1", "m + 7"], ["m", "e + 18", "e + 25"], ["e", "o + 11", "o + 36"], ["o", "n + 16", "n + 52"], ["n", 20, "72"]], "target_var_name": "r", "target_value": 72, "value_dict": {"n": 20}, "is_reverse": true}} | 14,916 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = l + 10; h = c + 18; r = f + 4; g = m + 1; u = q + 2; e = o + 11; k = n + 13; n = 20; c = u + 12; o = n + 16; f = g + 2; m = e + 18; l = k + 2. Given that n = 20, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 2 to r, which gives r = g + 6.\n2. Substitute g = m + 1 to r, which gives r = m + 7.\n3. Substitute m = e + 18 to r, which gives r = e + 25.\n4. Substitute e = o + 11 to r, which gives r = o + 36.\n5. Substitute o = n + 16 to r, which gives r = n + 52.\n6. Substitute n = 20 to r, which gives r = 72.\n\nThus, the final answer is r = \\boxed{72}.",
"index": 14916,
"question": "Suppose a collection of variables is related by the following definitions: q = l + 10; h = c + 18; r = f + 4; g = m + 1; u = q + 2; e = o + 11; k = n + 13; n = 20; c = u + 12; o = n + 16; f = g + 2; m = e + 18; l = k + 2. Given that n = 20, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 10", "n": "s + 10", "x": "n + 5", "r": "x + 17", "d": "r + 2", "h": "d + 1", "k": "t + 19", "i": "k + 12", "l": "i + 3", "q": "l + 4", "y": "q + 2", "m": "y + 10", "t": 7}, "premises": {"t": 7}, "target": "h"}, "answer": {"steps": [["d", "r + 2", "r + 3"], ["r", "x + 17", "x + 20"], ["x", "n + 5", "n + 25"], ["n", "s + 10", "s + 35"], ["s", "t + 10", "t + 45"], ["t", 7, "52"]], "target_var_name": "h", "target_value": 52, "value_dict": {"t": 7}, "is_reverse": true}} | 14,917 | 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 = s + 10; y = q + 2; t = 7; r = x + 17; q = l + 4; k = t + 19; m = y + 10; x = n + 5; d = r + 2; l = i + 3; i = k + 12; s = t + 10; h = d + 1. If t = 7, what is the resulting value of h?",
"role": "user"
... | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 2 to h, which gives h = r + 3.\n2. Substitute r = x + 17 to h, which gives h = x + 20.\n3. Substitute x = n + 5 to h, which gives h = n + 25.\n4. Substitute n = s + 10 to h, which gives h = s + 35.\n5. Substitute s = t + 10 to h, which gives h = t + 45.\n6. Substitute t = 7 to h, which gives h = 52.\n\nThus, the final answer is h = \\boxed{52}.",
"index": 14917,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = s + 10; y = q + 2; t = 7; r = x + 17; q = l + 4; k = t + 19; m = y + 10; x = n + 5; d = r + 2; l = i + 3; i = k + 12; s = t + 10; h = d + 1. If t = 7, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 4", "r": "k + 1", "p": "r + 10", "g": "p + 10", "j": "g + 17", "m": "j + 19", "q": "e + 3", "l": "q + 18", "x": "l + 13", "u": "x + 12", "a": "u + 14", "w": "a + 16", "e": 19}, "premises": {"e": 19}, "target": "m"}, "answer": {"steps": [["j", "g + 17", "g + 36"], ["g", "p + 10", "p + 46"], ["p", "r + 10", "r + 56"], ["r", "k + 1", "k + 57"], ["k", "e + 4", "e + 61"], ["e", 19, "80"]], "target_var_name": "m", "target_value": 80, "value_dict": {"e": 19}, "is_reverse": true}} | 14,918 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = x + 12; g = p + 10; p = r + 10; w = a + 16; e = 19; r = k + 1; k = e + 4; a = u + 14; m = j + 19; q = e + 3; x = l + 13; j = g + 17; l = q + 18. Given that e = 19, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 17 to m, which gives m = g + 36.\n2. Substitute g = p + 10 to m, which gives m = p + 46.\n3. Substitute p = r + 10 to m, which gives m = r + 56.\n4. Substitute r = k + 1 to m, which gives m = k + 57.\n5. Substitute k = e + 4 to m, which gives m = e + 61.\n6. Substitute e = 19 to m, which gives m = 80.\n\nThus, the final answer is m = \\boxed{80}.",
"index": 14918,
"question": "Suppose a collection of variables is related by the following definitions: u = x + 12; g = p + 10; p = r + 10; w = a + 16; e = 19; r = k + 1; k = e + 4; a = u + 14; m = j + 19; q = e + 3; x = l + 13; j = g + 17; l = q + 18. Given that e = 19, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"d": "e + 6", "k": "d + 2", "y": "k + 1", "u": "y + 13", "s": "u + 2", "b": "s + 4", "q": "e + 8", "t": "q + 12", "n": "t + 5", "m": "n + 20", "c": "m + 20", "r": "c + 13", "e": 17}, "premises": {"e": 17}, "target": "b"}, "answer": {"steps": [["s", "u + 2", "u + 6"], ["u", "y + 13", "y + 19"], ["y", "k + 1", "k + 20"], ["k", "d + 2", "d + 22"], ["d", "e + 6", "e + 28"], ["e", 17, "45"]], "target_var_name": "b", "target_value": 45, "value_dict": {"e": 17}, "is_reverse": true}} | 14,919 | 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 = k + 1; q = e + 8; r = c + 13; k = d + 2; e = 17; s = u + 2; m = n + 20; n = t + 5; c = m + 20; u = y + 13; b = s + 4; d = e + 6; t = q + 12. If e = 17, what is the resulting value of b?",
"role": "user"... | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 2 to b, which gives b = u + 6.\n2. Substitute u = y + 13 to b, which gives b = y + 19.\n3. Substitute y = k + 1 to b, which gives b = k + 20.\n4. Substitute k = d + 2 to b, which gives b = d + 22.\n5. Substitute d = e + 6 to b, which gives b = e + 28.\n6. Substitute e = 17 to b, which gives b = 45.\n\nThus, the final answer is b = \\boxed{45}.",
"index": 14919,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = k + 1; q = e + 8; r = c + 13; k = d + 2; e = 17; s = u + 2; m = n + 20; n = t + 5; c = m + 20; u = y + 13; b = s + 4; d = e + 6; t = q + 12. If e = 17, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 3", "d": "z + 8", "s": "d + 4", "p": "s + 16", "g": "p + 11", "f": "g + 3", "m": "i + 9", "u": "m + 6", "v": "u + 1", "c": "v + 16", "e": "c + 3", "t": "e + 2", "i": 2}, "premises": {"i": 2}, "target": "f"}, "answer": {"steps": [["g", "p + 11", "p + 14"], ["p", "s + 16", "s + 30"], ["s", "d + 4", "d + 34"], ["d", "z + 8", "z + 42"], ["z", "i + 3", "i + 45"], ["i", 2, "47"]], "target_var_name": "f", "target_value": 47, "value_dict": {"i": 2}, "is_reverse": true}} | 14,920 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = p + 11; p = s + 16; t = e + 2; u = m + 6; m = i + 9; s = d + 4; z = i + 3; d = z + 8; v = u + 1; i = 2; e = c + 3; c = v + 16; f = g + 3. If i = 2, what is the resulting value of f?",
"role": "user"
}... | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 11 to f, which gives f = p + 14.\n2. Substitute p = s + 16 to f, which gives f = s + 30.\n3. Substitute s = d + 4 to f, which gives f = d + 34.\n4. Substitute d = z + 8 to f, which gives f = z + 42.\n5. Substitute z = i + 3 to f, which gives f = i + 45.\n6. Substitute i = 2 to f, which gives f = 47.\n\nThus, the final answer is f = \\boxed{47}.",
"index": 14920,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = p + 11; p = s + 16; t = e + 2; u = m + 6; m = i + 9; s = d + 4; z = i + 3; d = z + 8; v = u + 1; i = 2; e = c + 3; c = v + 16; f = g + 3. If i = 2, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 19", "c": "a + 18", "b": "c + 1", "q": "b + 11", "n": "q + 4", "h": "n + 17", "f": "j + 15", "u": "f + 13", "y": "u + 3", "d": "y + 16", "t": "d + 1", "e": "t + 2", "j": 4}, "premises": {"j": 4}, "target": "h"}, "answer": {"steps": [["n", "q + 4", "q + 21"], ["q", "b + 11", "b + 32"], ["b", "c + 1", "c + 33"], ["c", "a + 18", "a + 51"], ["a", "j + 19", "j + 70"], ["j", 4, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"j": 4}, "is_reverse": true}} | 14,921 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = f + 13; c = a + 18; b = c + 1; d = y + 16; a = j + 19; y = u + 3; q = b + 11; h = n + 17; t = d + 1; n = q + 4; e = t + 2; f = j + 15; j = 4. If j = 4, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 4 to h, which gives h = q + 21.\n2. Substitute q = b + 11 to h, which gives h = b + 32.\n3. Substitute b = c + 1 to h, which gives h = c + 33.\n4. Substitute c = a + 18 to h, which gives h = a + 51.\n5. Substitute a = j + 19 to h, which gives h = j + 70.\n6. Substitute j = 4 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 14921,
"question": "Consider a system of variables where each variable is defined as follows: u = f + 13; c = a + 18; b = c + 1; d = y + 16; a = j + 19; y = u + 3; q = b + 11; h = n + 17; t = d + 1; n = q + 4; e = t + 2; f = j + 15; j = 4. If j = 4, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 10", "c": "u + 17", "y": "c + 2", "f": "y + 19", "k": "f + 13", "s": "k + 20", "v": "m + 17", "o": "v + 6", "h": "o + 16", "b": "h + 16", "t": "b + 11", "l": "t + 6", "m": 3}, "premises": {"m": 3}, "target": "s"}, "answer": {"steps": [["k", "f + 13", "f + 33"], ["f", "y + 19", "y + 52"], ["y", "c + 2", "c + 54"], ["c", "u + 17", "u + 71"], ["u", "m + 10", "m + 81"], ["m", 3, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"m": 3}, "is_reverse": true}} | 14,922 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = m + 17; o = v + 6; k = f + 13; b = h + 16; s = k + 20; c = u + 17; h = o + 16; t = b + 11; m = 3; y = c + 2; u = m + 10; f = y + 19; l = t + 6. If m = 3, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 13 to s, which gives s = f + 33.\n2. Substitute f = y + 19 to s, which gives s = y + 52.\n3. Substitute y = c + 2 to s, which gives s = c + 54.\n4. Substitute c = u + 17 to s, which gives s = u + 71.\n5. Substitute u = m + 10 to s, which gives s = m + 81.\n6. Substitute m = 3 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 14922,
"question": "Consider a system of variables where each variable is defined as follows: v = m + 17; o = v + 6; k = f + 13; b = h + 16; s = k + 20; c = u + 17; h = o + 16; t = b + 11; m = 3; y = c + 2; u = m + 10; f = y + 19; l = t + 6. If m = 3, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 7", "a": "o + 19", "i": "a + 2", "e": "i + 16", "t": "e + 9", "n": "t + 12", "h": "u + 19", "s": "h + 11", "m": "s + 5", "p": "m + 5", "v": "p + 4", "d": "v + 1", "u": 11}, "premises": {"u": 11}, "target": "n"}, "answer": {"steps": [["t", "e + 9", "e + 21"], ["e", "i + 16", "i + 37"], ["i", "a + 2", "a + 39"], ["a", "o + 19", "o + 58"], ["o", "u + 7", "u + 65"], ["u", 11, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"u": 11}, "is_reverse": true}} | 14,923 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = t + 12; t = e + 9; e = i + 16; s = h + 11; u = 11; v = p + 4; o = u + 7; p = m + 5; m = s + 5; h = u + 19; d = v + 1; a = o + 19; i = a + 2. If u = 11, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 9 to n, which gives n = e + 21.\n2. Substitute e = i + 16 to n, which gives n = i + 37.\n3. Substitute i = a + 2 to n, which gives n = a + 39.\n4. Substitute a = o + 19 to n, which gives n = o + 58.\n5. Substitute o = u + 7 to n, which gives n = u + 65.\n6. Substitute u = 11 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 14923,
"question": "Consider a system of variables where each variable is defined as follows: n = t + 12; t = e + 9; e = i + 16; s = h + 11; u = 11; v = p + 4; o = u + 7; p = m + 5; m = s + 5; h = u + 19; d = v + 1; a = o + 19; i = a + 2. If u = 11, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 3", "q": "f + 2", "s": "q + 6", "r": "s + 6", "d": "r + 18", "g": "d + 9", "j": "x + 3", "e": "j + 4", "h": "e + 11", "w": "h + 17", "b": "w + 7", "p": "b + 1", "x": 16}, "premises": {"x": 16}, "target": "g"}, "answer": {"steps": [["d", "r + 18", "r + 27"], ["r", "s + 6", "s + 33"], ["s", "q + 6", "q + 39"], ["q", "f + 2", "f + 41"], ["f", "x + 3", "x + 44"], ["x", 16, "60"]], "target_var_name": "g", "target_value": 60, "value_dict": {"x": 16}, "is_reverse": true}} | 14,924 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = 16; h = e + 11; j = x + 3; w = h + 17; q = f + 2; b = w + 7; r = s + 6; d = r + 18; p = b + 1; f = x + 3; g = d + 9; e = j + 4; s = q + 6. If x = 16, what is the resulting value of g?",
"role": "user"
... | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 18 to g, which gives g = r + 27.\n2. Substitute r = s + 6 to g, which gives g = s + 33.\n3. Substitute s = q + 6 to g, which gives g = q + 39.\n4. Substitute q = f + 2 to g, which gives g = f + 41.\n5. Substitute f = x + 3 to g, which gives g = x + 44.\n6. Substitute x = 16 to g, which gives g = 60.\n\nThus, the final answer is g = \\boxed{60}.",
"index": 14924,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 16; h = e + 11; j = x + 3; w = h + 17; q = f + 2; b = w + 7; r = s + 6; d = r + 18; p = b + 1; f = x + 3; g = d + 9; e = j + 4; s = q + 6. If x = 16, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 11", "p": "b + 8", "k": "p + 19", "l": "k + 18", "f": "l + 6", "s": "f + 5", "e": "y + 8", "r": "e + 1", "g": "r + 9", "c": "g + 18", "i": "c + 6", "h": "i + 17", "y": 8}, "premises": {"y": 8}, "target": "s"}, "answer": {"steps": [["f", "l + 6", "l + 11"], ["l", "k + 18", "k + 29"], ["k", "p + 19", "p + 48"], ["p", "b + 8", "b + 56"], ["b", "y + 11", "y + 67"], ["y", 8, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"y": 8}, "is_reverse": true}} | 14,925 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = y + 11; k = p + 19; y = 8; e = y + 8; p = b + 8; r = e + 1; f = l + 6; g = r + 9; s = f + 5; c = g + 18; l = k + 18; h = i + 17; i = c + 6. If y = 8, what is the resulting value of s?",
"role": "user"
... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 6 to s, which gives s = l + 11.\n2. Substitute l = k + 18 to s, which gives s = k + 29.\n3. Substitute k = p + 19 to s, which gives s = p + 48.\n4. Substitute p = b + 8 to s, which gives s = b + 56.\n5. Substitute b = y + 11 to s, which gives s = y + 67.\n6. Substitute y = 8 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 14925,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = y + 11; k = p + 19; y = 8; e = y + 8; p = b + 8; r = e + 1; f = l + 6; g = r + 9; s = f + 5; c = g + 18; l = k + 18; h = i + 17; i = c + 6. If y = 8, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 20", "n": "l + 1", "a": "n + 1", "v": "a + 10", "s": "v + 17", "j": "s + 17", "e": "p + 17", "m": "e + 13", "g": "m + 1", "w": "g + 8", "i": "w + 2", "r": "i + 3", "p": 14}, "premises": {"p": 14}, "target": "j"}, "answer": {"steps": [["s", "v + 17", "v + 34"], ["v", "a + 10", "a + 44"], ["a", "n + 1", "n + 45"], ["n", "l + 1", "l + 46"], ["l", "p + 20", "p + 66"], ["p", 14, "80"]], "target_var_name": "j", "target_value": 80, "value_dict": {"p": 14}, "is_reverse": true}} | 14,926 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = p + 17; l = p + 20; a = n + 1; v = a + 10; s = v + 17; w = g + 8; j = s + 17; i = w + 2; g = m + 1; r = i + 3; p = 14; n = l + 1; m = e + 13. If p = 14, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 17 to j, which gives j = v + 34.\n2. Substitute v = a + 10 to j, which gives j = a + 44.\n3. Substitute a = n + 1 to j, which gives j = n + 45.\n4. Substitute n = l + 1 to j, which gives j = l + 46.\n5. Substitute l = p + 20 to j, which gives j = p + 66.\n6. Substitute p = 14 to j, which gives j = 80.\n\nThus, the final answer is j = \\boxed{80}.",
"index": 14926,
"question": "Consider a system of variables where each variable is defined as follows: e = p + 17; l = p + 20; a = n + 1; v = a + 10; s = v + 17; w = g + 8; j = s + 17; i = w + 2; g = m + 1; r = i + 3; p = 14; n = l + 1; m = e + 13. If p = 14, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 2", "z": "v + 4", "c": "z + 3", "y": "c + 9", "b": "y + 11", "f": "b + 1", "u": "r + 9", "h": "u + 4", "g": "h + 20", "q": "g + 9", "w": "q + 18", "a": "w + 19", "r": 13}, "premises": {"r": 13}, "target": "f"}, "answer": {"steps": [["b", "y + 11", "y + 12"], ["y", "c + 9", "c + 21"], ["c", "z + 3", "z + 24"], ["z", "v + 4", "v + 28"], ["v", "r + 2", "r + 30"], ["r", 13, "43"]], "target_var_name": "f", "target_value": 43, "value_dict": {"r": 13}, "is_reverse": true}} | 14,927 | 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 = 13; c = z + 3; f = b + 1; w = q + 18; b = y + 11; v = r + 2; a = w + 19; h = u + 4; g = h + 20; u = r + 9; y = c + 9; q = g + 9; z = v + 4. If r = 13, what is the resulting value of f?",
"role": "user"
... | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 11 to f, which gives f = y + 12.\n2. Substitute y = c + 9 to f, which gives f = c + 21.\n3. Substitute c = z + 3 to f, which gives f = z + 24.\n4. Substitute z = v + 4 to f, which gives f = v + 28.\n5. Substitute v = r + 2 to f, which gives f = r + 30.\n6. Substitute r = 13 to f, which gives f = 43.\n\nThus, the final answer is f = \\boxed{43}.",
"index": 14927,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 13; c = z + 3; f = b + 1; w = q + 18; b = y + 11; v = r + 2; a = w + 19; h = u + 4; g = h + 20; u = r + 9; y = c + 9; q = g + 9; z = v + 4. If r = 13, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 8", "r": "c + 1", "l": "r + 10", "t": "l + 11", "a": "t + 13", "g": "a + 16", "o": "v + 1", "j": "o + 14", "x": "j + 20", "y": "x + 7", "s": "y + 19", "n": "s + 9", "v": 2}, "premises": {"v": 2}, "target": "g"}, "answer": {"steps": [["a", "t + 13", "t + 29"], ["t", "l + 11", "l + 40"], ["l", "r + 10", "r + 50"], ["r", "c + 1", "c + 51"], ["c", "v + 8", "v + 59"], ["v", 2, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"v": 2}, "is_reverse": true}} | 14,928 | 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 + 7; n = s + 9; v = 2; t = l + 11; s = y + 19; a = t + 13; j = o + 14; o = v + 1; x = j + 20; r = c + 1; g = a + 16; c = v + 8; l = r + 10. If v = 2, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 13 to g, which gives g = t + 29.\n2. Substitute t = l + 11 to g, which gives g = l + 40.\n3. Substitute l = r + 10 to g, which gives g = r + 50.\n4. Substitute r = c + 1 to g, which gives g = c + 51.\n5. Substitute c = v + 8 to g, which gives g = v + 59.\n6. Substitute v = 2 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 14928,
"question": "Consider a system of variables where each variable is defined as follows: y = x + 7; n = s + 9; v = 2; t = l + 11; s = y + 19; a = t + 13; j = o + 14; o = v + 1; x = j + 20; r = c + 1; g = a + 16; c = v + 8; l = r + 10. If v = 2, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 5", "a": "v + 12", "s": "a + 4", "j": "s + 20", "e": "j + 12", "q": "e + 18", "l": "p + 18", "b": "l + 3", "h": "b + 18", "z": "h + 18", "x": "z + 7", "y": "x + 7", "p": 16}, "premises": {"p": 16}, "target": "q"}, "answer": {"steps": [["e", "j + 12", "j + 30"], ["j", "s + 20", "s + 50"], ["s", "a + 4", "a + 54"], ["a", "v + 12", "v + 66"], ["v", "p + 5", "p + 71"], ["p", 16, "87"]], "target_var_name": "q", "target_value": 87, "value_dict": {"p": 16}, "is_reverse": true}} | 14,929 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = j + 12; x = z + 7; h = b + 18; y = x + 7; l = p + 18; z = h + 18; p = 16; j = s + 20; a = v + 12; v = p + 5; s = a + 4; b = l + 3; q = e + 18. If p = 16, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 12 to q, which gives q = j + 30.\n2. Substitute j = s + 20 to q, which gives q = s + 50.\n3. Substitute s = a + 4 to q, which gives q = a + 54.\n4. Substitute a = v + 12 to q, which gives q = v + 66.\n5. Substitute v = p + 5 to q, which gives q = p + 71.\n6. Substitute p = 16 to q, which gives q = 87.\n\nThus, the final answer is q = \\boxed{87}.",
"index": 14929,
"question": "Consider a system of variables where each variable is defined as follows: e = j + 12; x = z + 7; h = b + 18; y = x + 7; l = p + 18; z = h + 18; p = 16; j = s + 20; a = v + 12; v = p + 5; s = a + 4; b = l + 3; q = e + 18. If p = 16, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"b": "h + 6", "c": "b + 9", "g": "c + 3", "p": "g + 1", "z": "p + 3", "f": "z + 7", "t": "h + 15", "e": "t + 8", "o": "e + 3", "l": "o + 20", "x": "l + 3", "s": "x + 3", "h": 2}, "premises": {"h": 2}, "target": "f"}, "answer": {"steps": [["z", "p + 3", "p + 10"], ["p", "g + 1", "g + 11"], ["g", "c + 3", "c + 14"], ["c", "b + 9", "b + 23"], ["b", "h + 6", "h + 29"], ["h", 2, "31"]], "target_var_name": "f", "target_value": 31, "value_dict": {"h": 2}, "is_reverse": true}} | 14,930 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = z + 7; p = g + 1; b = h + 6; z = p + 3; t = h + 15; h = 2; g = c + 3; e = t + 8; o = e + 3; l = o + 20; x = l + 3; s = x + 3; c = b + 9. If h = 2, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 31,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 3 to f, which gives f = p + 10.\n2. Substitute p = g + 1 to f, which gives f = g + 11.\n3. Substitute g = c + 3 to f, which gives f = c + 14.\n4. Substitute c = b + 9 to f, which gives f = b + 23.\n5. Substitute b = h + 6 to f, which gives f = h + 29.\n6. Substitute h = 2 to f, which gives f = 31.\n\nThus, the final answer is f = \\boxed{31}.",
"index": 14930,
"question": "Consider a system of variables where each variable is defined as follows: f = z + 7; p = g + 1; b = h + 6; z = p + 3; t = h + 15; h = 2; g = c + 3; e = t + 8; o = e + 3; l = o + 20; x = l + 3; s = x + 3; c = b + 9. If h = 2, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"l": "d + 5", "j": "l + 8", "q": "j + 3", "v": "q + 4", "k": "v + 1", "s": "k + 18", "g": "d + 13", "o": "g + 9", "p": "o + 19", "c": "p + 11", "z": "c + 8", "i": "z + 20", "d": 2}, "premises": {"d": 2}, "target": "s"}, "answer": {"steps": [["k", "v + 1", "v + 19"], ["v", "q + 4", "q + 23"], ["q", "j + 3", "j + 26"], ["j", "l + 8", "l + 34"], ["l", "d + 5", "d + 39"], ["d", 2, "41"]], "target_var_name": "s", "target_value": 41, "value_dict": {"d": 2}, "is_reverse": true}} | 14,931 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = j + 3; j = l + 8; p = o + 19; d = 2; c = p + 11; l = d + 5; i = z + 20; s = k + 18; v = q + 4; o = g + 9; z = c + 8; g = d + 13; k = v + 1. Given that d = 2, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 1 to s, which gives s = v + 19.\n2. Substitute v = q + 4 to s, which gives s = q + 23.\n3. Substitute q = j + 3 to s, which gives s = j + 26.\n4. Substitute j = l + 8 to s, which gives s = l + 34.\n5. Substitute l = d + 5 to s, which gives s = d + 39.\n6. Substitute d = 2 to s, which gives s = 41.\n\nThus, the final answer is s = \\boxed{41}.",
"index": 14931,
"question": "Suppose a collection of variables is related by the following definitions: q = j + 3; j = l + 8; p = o + 19; d = 2; c = p + 11; l = d + 5; i = z + 20; s = k + 18; v = q + 4; o = g + 9; z = c + 8; g = d + 13; k = v + 1. Given that d = 2, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 2", "m": "f + 12", "b": "m + 15", "t": "b + 14", "p": "t + 19", "l": "p + 10", "s": "r + 16", "i": "s + 16", "c": "i + 3", "u": "c + 10", "o": "u + 15", "z": "o + 9", "r": 10}, "premises": {"r": 10}, "target": "l"}, "answer": {"steps": [["p", "t + 19", "t + 29"], ["t", "b + 14", "b + 43"], ["b", "m + 15", "m + 58"], ["m", "f + 12", "f + 70"], ["f", "r + 2", "r + 72"], ["r", 10, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"r": 10}, "is_reverse": true}} | 14,932 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = i + 3; u = c + 10; p = t + 19; b = m + 15; l = p + 10; t = b + 14; z = o + 9; m = f + 12; i = s + 16; r = 10; o = u + 15; s = r + 16; f = r + 2. Given that r = 10, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = t + 19 to l, which gives l = t + 29.\n2. Substitute t = b + 14 to l, which gives l = b + 43.\n3. Substitute b = m + 15 to l, which gives l = m + 58.\n4. Substitute m = f + 12 to l, which gives l = f + 70.\n5. Substitute f = r + 2 to l, which gives l = r + 72.\n6. Substitute r = 10 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 14932,
"question": "Suppose a collection of variables is related by the following definitions: c = i + 3; u = c + 10; p = t + 19; b = m + 15; l = p + 10; t = b + 14; z = o + 9; m = f + 12; i = s + 16; r = 10; o = u + 15; s = r + 16; f = r + 2. Given that r = 10, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 16", "w": "n + 20", "p": "w + 11", "e": "p + 17", "j": "e + 17", "a": "j + 20", "x": "l + 5", "b": "x + 5", "u": "b + 15", "h": "u + 1", "t": "h + 2", "d": "t + 10", "l": 19}, "premises": {"l": 19}, "target": "a"}, "answer": {"steps": [["j", "e + 17", "e + 37"], ["e", "p + 17", "p + 54"], ["p", "w + 11", "w + 65"], ["w", "n + 20", "n + 85"], ["n", "l + 16", "l + 101"], ["l", 19, "120"]], "target_var_name": "a", "target_value": 120, "value_dict": {"l": 19}, "is_reverse": true}} | 14,933 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = 19; t = h + 2; n = l + 16; e = p + 17; h = u + 1; u = b + 15; b = x + 5; p = w + 11; w = n + 20; d = t + 10; x = l + 5; a = j + 20; j = e + 17. If l = 19, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 120,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 17 to a, which gives a = e + 37.\n2. Substitute e = p + 17 to a, which gives a = p + 54.\n3. Substitute p = w + 11 to a, which gives a = w + 65.\n4. Substitute w = n + 20 to a, which gives a = n + 85.\n5. Substitute n = l + 16 to a, which gives a = l + 101.\n6. Substitute l = 19 to a, which gives a = 120.\n\nThus, the final answer is a = \\boxed{120}.",
"index": 14933,
"question": "Consider a system of variables where each variable is defined as follows: l = 19; t = h + 2; n = l + 16; e = p + 17; h = u + 1; u = b + 15; b = x + 5; p = w + 11; w = n + 20; d = t + 10; x = l + 5; a = j + 20; j = e + 17. If l = 19, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"e": "c + 4", "w": "e + 15", "b": "w + 16", "i": "b + 10", "k": "i + 10", "p": "k + 11", "q": "c + 20", "r": "q + 11", "t": "r + 5", "f": "t + 3", "x": "f + 14", "n": "x + 17", "c": 8}, "premises": {"c": 8}, "target": "p"}, "answer": {"steps": [["k", "i + 10", "i + 21"], ["i", "b + 10", "b + 31"], ["b", "w + 16", "w + 47"], ["w", "e + 15", "e + 62"], ["e", "c + 4", "c + 66"], ["c", 8, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"c": 8}, "is_reverse": true}} | 14,934 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = 8; k = i + 10; i = b + 10; w = e + 15; e = c + 4; x = f + 14; r = q + 11; n = x + 17; b = w + 16; f = t + 3; t = r + 5; q = c + 20; p = k + 11. Given that c = 8, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 10 to p, which gives p = i + 21.\n2. Substitute i = b + 10 to p, which gives p = b + 31.\n3. Substitute b = w + 16 to p, which gives p = w + 47.\n4. Substitute w = e + 15 to p, which gives p = e + 62.\n5. Substitute e = c + 4 to p, which gives p = c + 66.\n6. Substitute c = 8 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 14934,
"question": "Suppose a collection of variables is related by the following definitions: c = 8; k = i + 10; i = b + 10; w = e + 15; e = c + 4; x = f + 14; r = q + 11; n = x + 17; b = w + 16; f = t + 3; t = r + 5; q = c + 20; p = k + 11. Given that c = 8, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"s": "b + 11", "z": "s + 13", "n": "z + 20", "e": "n + 11", "c": "e + 16", "y": "c + 19", "d": "b + 10", "h": "d + 12", "t": "h + 5", "f": "t + 17", "g": "f + 9", "r": "g + 3", "b": 15}, "premises": {"b": 15}, "target": "y"}, "answer": {"steps": [["c", "e + 16", "e + 35"], ["e", "n + 11", "n + 46"], ["n", "z + 20", "z + 66"], ["z", "s + 13", "s + 79"], ["s", "b + 11", "b + 90"], ["b", 15, "105"]], "target_var_name": "y", "target_value": 105, "value_dict": {"b": 15}, "is_reverse": true}} | 14,935 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = 15; z = s + 13; s = b + 11; g = f + 9; n = z + 20; r = g + 3; c = e + 16; e = n + 11; h = d + 12; t = h + 5; y = c + 19; d = b + 10; f = t + 17. If b = 15, what is the resulting value of y?",
"role": "u... | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 16 to y, which gives y = e + 35.\n2. Substitute e = n + 11 to y, which gives y = n + 46.\n3. Substitute n = z + 20 to y, which gives y = z + 66.\n4. Substitute z = s + 13 to y, which gives y = s + 79.\n5. Substitute s = b + 11 to y, which gives y = b + 90.\n6. Substitute b = 15 to y, which gives y = 105.\n\nThus, the final answer is y = \\boxed{105}.",
"index": 14935,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = 15; z = s + 13; s = b + 11; g = f + 9; n = z + 20; r = g + 3; c = e + 16; e = n + 11; h = d + 12; t = h + 5; y = c + 19; d = b + 10; f = t + 17. If b = 15, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"k": "i + 5", "m": "k + 4", "s": "m + 13", "b": "s + 8", "w": "b + 18", "c": "w + 9", "d": "i + 4", "n": "d + 14", "x": "n + 5", "l": "x + 11", "q": "l + 9", "u": "q + 15", "i": 4}, "premises": {"i": 4}, "target": "c"}, "answer": {"steps": [["w", "b + 18", "b + 27"], ["b", "s + 8", "s + 35"], ["s", "m + 13", "m + 48"], ["m", "k + 4", "k + 52"], ["k", "i + 5", "i + 57"], ["i", 4, "61"]], "target_var_name": "c", "target_value": 61, "value_dict": {"i": 4}, "is_reverse": true}} | 14,936 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 5; l = x + 11; c = w + 9; k = i + 5; i = 4; d = i + 4; q = l + 9; s = m + 13; u = q + 15; w = b + 18; b = s + 8; m = k + 4; n = d + 14. If i = 4, what is the resulting value of c?",
"role": "user"
... | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 18 to c, which gives c = b + 27.\n2. Substitute b = s + 8 to c, which gives c = s + 35.\n3. Substitute s = m + 13 to c, which gives c = m + 48.\n4. Substitute m = k + 4 to c, which gives c = k + 52.\n5. Substitute k = i + 5 to c, which gives c = i + 57.\n6. Substitute i = 4 to c, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 14936,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 5; l = x + 11; c = w + 9; k = i + 5; i = 4; d = i + 4; q = l + 9; s = m + 13; u = q + 15; w = b + 18; b = s + 8; m = k + 4; n = d + 14. If i = 4, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 8", "b": "g + 13", "k": "b + 10", "j": "k + 14", "t": "j + 20", "a": "t + 15", "q": "l + 14", "d": "q + 16", "f": "d + 17", "e": "f + 5", "x": "e + 17", "s": "x + 5", "l": 15}, "premises": {"l": 15}, "target": "a"}, "answer": {"steps": [["t", "j + 20", "j + 35"], ["j", "k + 14", "k + 49"], ["k", "b + 10", "b + 59"], ["b", "g + 13", "g + 72"], ["g", "l + 8", "l + 80"], ["l", 15, "95"]], "target_var_name": "a", "target_value": 95, "value_dict": {"l": 15}, "is_reverse": true}} | 14,937 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = e + 17; k = b + 10; b = g + 13; a = t + 15; e = f + 5; j = k + 14; f = d + 17; t = j + 20; q = l + 14; g = l + 8; s = x + 5; l = 15; d = q + 16. If l = 15, 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 t = j + 20 to a, which gives a = j + 35.\n2. Substitute j = k + 14 to a, which gives a = k + 49.\n3. Substitute k = b + 10 to a, which gives a = b + 59.\n4. Substitute b = g + 13 to a, which gives a = g + 72.\n5. Substitute g = l + 8 to a, which gives a = l + 80.\n6. Substitute l = 15 to a, which gives a = 95.\n\nThus, the final answer is a = \\boxed{95}.",
"index": 14937,
"question": "Consider a system of variables where each variable is defined as follows: x = e + 17; k = b + 10; b = g + 13; a = t + 15; e = f + 5; j = k + 14; f = d + 17; t = j + 20; q = l + 14; g = l + 8; s = x + 5; l = 15; d = q + 16. If l = 15, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"i": "t + 15", "w": "i + 15", "z": "w + 9", "r": "z + 13", "m": "r + 14", "k": "m + 15", "h": "t + 10", "d": "h + 8", "g": "d + 16", "o": "g + 14", "j": "o + 20", "b": "j + 6", "t": 20}, "premises": {"t": 20}, "target": "k"}, "answer": {"steps": [["m", "r + 14", "r + 29"], ["r", "z + 13", "z + 42"], ["z", "w + 9", "w + 51"], ["w", "i + 15", "i + 66"], ["i", "t + 15", "t + 81"], ["t", 20, "101"]], "target_var_name": "k", "target_value": 101, "value_dict": {"t": 20}, "is_reverse": true}} | 14,938 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = i + 15; b = j + 6; i = t + 15; z = w + 9; t = 20; o = g + 14; j = o + 20; r = z + 13; k = m + 15; h = t + 10; d = h + 8; m = r + 14; g = d + 16. If t = 20, what is the resulting value of k?",
"role": "u... | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 14 to k, which gives k = r + 29.\n2. Substitute r = z + 13 to k, which gives k = z + 42.\n3. Substitute z = w + 9 to k, which gives k = w + 51.\n4. Substitute w = i + 15 to k, which gives k = i + 66.\n5. Substitute i = t + 15 to k, which gives k = t + 81.\n6. Substitute t = 20 to k, which gives k = 101.\n\nThus, the final answer is k = \\boxed{101}.",
"index": 14938,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = i + 15; b = j + 6; i = t + 15; z = w + 9; t = 20; o = g + 14; j = o + 20; r = z + 13; k = m + 15; h = t + 10; d = h + 8; m = r + 14; g = d + 16. If t = 20, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 5", "h": "a + 10", "z": "h + 2", "c": "z + 9", "y": "c + 14", "k": "y + 1", "u": "j + 7", "s": "u + 14", "x": "s + 13", "i": "x + 9", "o": "i + 7", "f": "o + 17", "j": 6}, "premises": {"j": 6}, "target": "k"}, "answer": {"steps": [["y", "c + 14", "c + 15"], ["c", "z + 9", "z + 24"], ["z", "h + 2", "h + 26"], ["h", "a + 10", "a + 36"], ["a", "j + 5", "j + 41"], ["j", 6, "47"]], "target_var_name": "k", "target_value": 47, "value_dict": {"j": 6}, "is_reverse": true}} | 14,939 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = j + 7; c = z + 9; h = a + 10; s = u + 14; o = i + 7; k = y + 1; y = c + 14; j = 6; f = o + 17; x = s + 13; a = j + 5; i = x + 9; z = h + 2. Given that j = 6, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 14 to k, which gives k = c + 15.\n2. Substitute c = z + 9 to k, which gives k = z + 24.\n3. Substitute z = h + 2 to k, which gives k = h + 26.\n4. Substitute h = a + 10 to k, which gives k = a + 36.\n5. Substitute a = j + 5 to k, which gives k = j + 41.\n6. Substitute j = 6 to k, which gives k = 47.\n\nThus, the final answer is k = \\boxed{47}.",
"index": 14939,
"question": "Suppose a collection of variables is related by the following definitions: u = j + 7; c = z + 9; h = a + 10; s = u + 14; o = i + 7; k = y + 1; y = c + 14; j = 6; f = o + 17; x = s + 13; a = j + 5; i = x + 9; z = h + 2. Given that j = 6, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 12", "t": "s + 12", "z": "t + 8", "i": "z + 20", "h": "i + 15", "d": "h + 8", "q": "j + 5", "o": "q + 7", "r": "o + 11", "e": "r + 7", "l": "e + 4", "n": "l + 14", "j": 2}, "premises": {"j": 2}, "target": "d"}, "answer": {"steps": [["h", "i + 15", "i + 23"], ["i", "z + 20", "z + 43"], ["z", "t + 8", "t + 51"], ["t", "s + 12", "s + 63"], ["s", "j + 12", "j + 75"], ["j", 2, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"j": 2}, "is_reverse": true}} | 14,940 | 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 = q + 7; h = i + 15; r = o + 11; e = r + 7; l = e + 4; t = s + 12; i = z + 20; z = t + 8; j = 2; d = h + 8; q = j + 5; s = j + 12; n = l + 14. If j = 2, what is the resulting value of d?",
"role": "user"
... | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 15 to d, which gives d = i + 23.\n2. Substitute i = z + 20 to d, which gives d = z + 43.\n3. Substitute z = t + 8 to d, which gives d = t + 51.\n4. Substitute t = s + 12 to d, which gives d = s + 63.\n5. Substitute s = j + 12 to d, which gives d = j + 75.\n6. Substitute j = 2 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 14940,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = q + 7; h = i + 15; r = o + 11; e = r + 7; l = e + 4; t = s + 12; i = z + 20; z = t + 8; j = 2; d = h + 8; q = j + 5; s = j + 12; n = l + 14. If j = 2, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 19", "p": "w + 16", "a": "p + 13", "e": "a + 11", "t": "e + 10", "x": "t + 19", "v": "q + 9", "u": "v + 5", "b": "u + 6", "o": "b + 11", "n": "o + 6", "z": "n + 5", "q": 15}, "premises": {"q": 15}, "target": "x"}, "answer": {"steps": [["t", "e + 10", "e + 29"], ["e", "a + 11", "a + 40"], ["a", "p + 13", "p + 53"], ["p", "w + 16", "w + 69"], ["w", "q + 19", "q + 88"], ["q", 15, "103"]], "target_var_name": "x", "target_value": 103, "value_dict": {"q": 15}, "is_reverse": true}} | 14,941 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = b + 11; x = t + 19; n = o + 6; w = q + 19; t = e + 10; z = n + 5; p = w + 16; a = p + 13; v = q + 9; b = u + 6; u = v + 5; q = 15; e = a + 11. Given that q = 15, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 10 to x, which gives x = e + 29.\n2. Substitute e = a + 11 to x, which gives x = a + 40.\n3. Substitute a = p + 13 to x, which gives x = p + 53.\n4. Substitute p = w + 16 to x, which gives x = w + 69.\n5. Substitute w = q + 19 to x, which gives x = q + 88.\n6. Substitute q = 15 to x, which gives x = 103.\n\nThus, the final answer is x = \\boxed{103}.",
"index": 14941,
"question": "Suppose a collection of variables is related by the following definitions: o = b + 11; x = t + 19; n = o + 6; w = q + 19; t = e + 10; z = n + 5; p = w + 16; a = p + 13; v = q + 9; b = u + 6; u = v + 5; q = 15; e = a + 11. Given that q = 15, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 9", "h": "o + 17", "m": "h + 7", "q": "m + 14", "n": "q + 18", "k": "n + 7", "c": "l + 5", "e": "c + 2", "y": "e + 11", "t": "y + 12", "v": "t + 6", "p": "v + 16", "l": 8}, "premises": {"l": 8}, "target": "k"}, "answer": {"steps": [["n", "q + 18", "q + 25"], ["q", "m + 14", "m + 39"], ["m", "h + 7", "h + 46"], ["h", "o + 17", "o + 63"], ["o", "l + 9", "l + 72"], ["l", 8, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"l": 8}, "is_reverse": true}} | 14,942 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = o + 17; q = m + 14; t = y + 12; n = q + 18; m = h + 7; e = c + 2; v = t + 6; c = l + 5; l = 8; k = n + 7; p = v + 16; y = e + 11; o = l + 9. If l = 8, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 18 to k, which gives k = q + 25.\n2. Substitute q = m + 14 to k, which gives k = m + 39.\n3. Substitute m = h + 7 to k, which gives k = h + 46.\n4. Substitute h = o + 17 to k, which gives k = o + 63.\n5. Substitute o = l + 9 to k, which gives k = l + 72.\n6. Substitute l = 8 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 14942,
"question": "Consider a system of variables where each variable is defined as follows: h = o + 17; q = m + 14; t = y + 12; n = q + 18; m = h + 7; e = c + 2; v = t + 6; c = l + 5; l = 8; k = n + 7; p = v + 16; y = e + 11; o = l + 9. If l = 8, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 17", "i": "q + 4", "t": "i + 13", "b": "t + 18", "v": "b + 17", "d": "v + 4", "f": "r + 9", "m": "f + 18", "p": "m + 20", "e": "p + 12", "j": "e + 14", "n": "j + 5", "r": 8}, "premises": {"r": 8}, "target": "d"}, "answer": {"steps": [["v", "b + 17", "b + 21"], ["b", "t + 18", "t + 39"], ["t", "i + 13", "i + 52"], ["i", "q + 4", "q + 56"], ["q", "r + 17", "r + 73"], ["r", 8, "81"]], "target_var_name": "d", "target_value": 81, "value_dict": {"r": 8}, "is_reverse": true}} | 14,943 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = i + 13; r = 8; q = r + 17; p = m + 20; e = p + 12; n = j + 5; m = f + 18; i = q + 4; j = e + 14; d = v + 4; b = t + 18; v = b + 17; f = r + 9. If r = 8, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 17 to d, which gives d = b + 21.\n2. Substitute b = t + 18 to d, which gives d = t + 39.\n3. Substitute t = i + 13 to d, which gives d = i + 52.\n4. Substitute i = q + 4 to d, which gives d = q + 56.\n5. Substitute q = r + 17 to d, which gives d = r + 73.\n6. Substitute r = 8 to d, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 14943,
"question": "Consider a system of variables where each variable is defined as follows: t = i + 13; r = 8; q = r + 17; p = m + 20; e = p + 12; n = j + 5; m = f + 18; i = q + 4; j = e + 14; d = v + 4; b = t + 18; v = b + 17; f = r + 9. If r = 8, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 18", "r": "b + 7", "j": "r + 11", "e": "j + 5", "h": "e + 10", "l": "h + 7", "o": "d + 18", "x": "o + 5", "n": "x + 8", "u": "n + 4", "f": "u + 5", "p": "f + 6", "d": 19}, "premises": {"d": 19}, "target": "l"}, "answer": {"steps": [["h", "e + 10", "e + 17"], ["e", "j + 5", "j + 22"], ["j", "r + 11", "r + 33"], ["r", "b + 7", "b + 40"], ["b", "d + 18", "d + 58"], ["d", 19, "77"]], "target_var_name": "l", "target_value": 77, "value_dict": {"d": 19}, "is_reverse": true}} | 14,944 | 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 = n + 4; d = 19; b = d + 18; n = x + 8; e = j + 5; p = f + 6; f = u + 5; l = h + 7; j = r + 11; r = b + 7; o = d + 18; h = e + 10; x = o + 5. If d = 19, what is the resulting value of l?",
"role": "user"
... | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 10 to l, which gives l = e + 17.\n2. Substitute e = j + 5 to l, which gives l = j + 22.\n3. Substitute j = r + 11 to l, which gives l = r + 33.\n4. Substitute r = b + 7 to l, which gives l = b + 40.\n5. Substitute b = d + 18 to l, which gives l = d + 58.\n6. Substitute d = 19 to l, which gives l = 77.\n\nThus, the final answer is l = \\boxed{77}.",
"index": 14944,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = n + 4; d = 19; b = d + 18; n = x + 8; e = j + 5; p = f + 6; f = u + 5; l = h + 7; j = r + 11; r = b + 7; o = d + 18; h = e + 10; x = o + 5. If d = 19, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 10", "v": "b + 19", "a": "v + 17", "p": "a + 6", "z": "p + 16", "k": "z + 13", "g": "r + 12", "x": "g + 4", "f": "x + 1", "q": "f + 19", "e": "q + 19", "n": "e + 17", "r": 11}, "premises": {"r": 11}, "target": "k"}, "answer": {"steps": [["z", "p + 16", "p + 29"], ["p", "a + 6", "a + 35"], ["a", "v + 17", "v + 52"], ["v", "b + 19", "b + 71"], ["b", "r + 10", "r + 81"], ["r", 11, "92"]], "target_var_name": "k", "target_value": 92, "value_dict": {"r": 11}, "is_reverse": true}} | 14,945 | 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 = 11; z = p + 16; x = g + 4; p = a + 6; f = x + 1; g = r + 12; b = r + 10; n = e + 17; q = f + 19; k = z + 13; e = q + 19; a = v + 17; v = b + 19. If r = 11, what is the resulting value of k?",
"role": "u... | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 16 to k, which gives k = p + 29.\n2. Substitute p = a + 6 to k, which gives k = a + 35.\n3. Substitute a = v + 17 to k, which gives k = v + 52.\n4. Substitute v = b + 19 to k, which gives k = b + 71.\n5. Substitute b = r + 10 to k, which gives k = r + 81.\n6. Substitute r = 11 to k, which gives k = 92.\n\nThus, the final answer is k = \\boxed{92}.",
"index": 14945,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 11; z = p + 16; x = g + 4; p = a + 6; f = x + 1; g = r + 12; b = r + 10; n = e + 17; q = f + 19; k = z + 13; e = q + 19; a = v + 17; v = b + 19. If r = 11, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"c": "u + 13", "r": "c + 11", "e": "r + 17", "x": "e + 16", "p": "x + 10", "h": "p + 10", "v": "u + 1", "g": "v + 8", "z": "g + 11", "s": "z + 12", "w": "s + 4", "y": "w + 4", "u": 2}, "premises": {"u": 2}, "target": "h"}, "answer": {"steps": [["p", "x + 10", "x + 20"], ["x", "e + 16", "e + 36"], ["e", "r + 17", "r + 53"], ["r", "c + 11", "c + 64"], ["c", "u + 13", "u + 77"], ["u", 2, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"u": 2}, "is_reverse": true}} | 14,946 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = u + 1; p = x + 10; c = u + 13; h = p + 10; r = c + 11; y = w + 4; z = g + 11; e = r + 17; w = s + 4; s = z + 12; u = 2; g = v + 8; x = e + 16. Given that u = 2, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 10 to h, which gives h = x + 20.\n2. Substitute x = e + 16 to h, which gives h = e + 36.\n3. Substitute e = r + 17 to h, which gives h = r + 53.\n4. Substitute r = c + 11 to h, which gives h = c + 64.\n5. Substitute c = u + 13 to h, which gives h = u + 77.\n6. Substitute u = 2 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 14946,
"question": "Suppose a collection of variables is related by the following definitions: v = u + 1; p = x + 10; c = u + 13; h = p + 10; r = c + 11; y = w + 4; z = g + 11; e = r + 17; w = s + 4; s = z + 12; u = 2; g = v + 8; x = e + 16. Given that u = 2, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 7", "p": "g + 11", "b": "p + 3", "y": "b + 20", "w": "y + 4", "v": "w + 15", "x": "l + 15", "o": "x + 2", "j": "o + 12", "d": "j + 19", "t": "d + 12", "q": "t + 17", "l": 17}, "premises": {"l": 17}, "target": "v"}, "answer": {"steps": [["w", "y + 4", "y + 19"], ["y", "b + 20", "b + 39"], ["b", "p + 3", "p + 42"], ["p", "g + 11", "g + 53"], ["g", "l + 7", "l + 60"], ["l", 17, "77"]], "target_var_name": "v", "target_value": 77, "value_dict": {"l": 17}, "is_reverse": true}} | 14,947 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = l + 7; v = w + 15; y = b + 20; l = 17; p = g + 11; o = x + 2; t = d + 12; w = y + 4; d = j + 19; q = t + 17; x = l + 15; b = p + 3; j = o + 12. Given that l = 17, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 4 to v, which gives v = y + 19.\n2. Substitute y = b + 20 to v, which gives v = b + 39.\n3. Substitute b = p + 3 to v, which gives v = p + 42.\n4. Substitute p = g + 11 to v, which gives v = g + 53.\n5. Substitute g = l + 7 to v, which gives v = l + 60.\n6. Substitute l = 17 to v, which gives v = 77.\n\nThus, the final answer is v = \\boxed{77}.",
"index": 14947,
"question": "Suppose a collection of variables is related by the following definitions: g = l + 7; v = w + 15; y = b + 20; l = 17; p = g + 11; o = x + 2; t = d + 12; w = y + 4; d = j + 19; q = t + 17; x = l + 15; b = p + 3; j = o + 12. Given that l = 17, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 19", "o": "l + 20", "u": "o + 2", "z": "u + 3", "i": "z + 8", "n": "i + 3", "v": "b + 7", "j": "v + 16", "k": "j + 19", "c": "k + 16", "e": "c + 5", "y": "e + 10", "b": 17}, "premises": {"b": 17}, "target": "n"}, "answer": {"steps": [["i", "z + 8", "z + 11"], ["z", "u + 3", "u + 14"], ["u", "o + 2", "o + 16"], ["o", "l + 20", "l + 36"], ["l", "b + 19", "b + 55"], ["b", 17, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"b": 17}, "is_reverse": true}} | 14,948 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = l + 20; v = b + 7; u = o + 2; e = c + 5; i = z + 8; y = e + 10; z = u + 3; c = k + 16; j = v + 16; l = b + 19; b = 17; k = j + 19; n = i + 3. If b = 17, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 8 to n, which gives n = z + 11.\n2. Substitute z = u + 3 to n, which gives n = u + 14.\n3. Substitute u = o + 2 to n, which gives n = o + 16.\n4. Substitute o = l + 20 to n, which gives n = l + 36.\n5. Substitute l = b + 19 to n, which gives n = b + 55.\n6. Substitute b = 17 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 14948,
"question": "Consider a system of variables where each variable is defined as follows: o = l + 20; v = b + 7; u = o + 2; e = c + 5; i = z + 8; y = e + 10; z = u + 3; c = k + 16; j = v + 16; l = b + 19; b = 17; k = j + 19; n = i + 3. If b = 17, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 13", "u": "p + 3", "c": "u + 15", "d": "c + 14", "o": "d + 6", "s": "o + 8", "e": "r + 1", "v": "e + 12", "z": "v + 4", "j": "z + 6", "k": "j + 17", "q": "k + 13", "r": 10}, "premises": {"r": 10}, "target": "s"}, "answer": {"steps": [["o", "d + 6", "d + 14"], ["d", "c + 14", "c + 28"], ["c", "u + 15", "u + 43"], ["u", "p + 3", "p + 46"], ["p", "r + 13", "r + 59"], ["r", 10, "69"]], "target_var_name": "s", "target_value": 69, "value_dict": {"r": 10}, "is_reverse": true}} | 14,949 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = p + 3; d = c + 14; r = 10; e = r + 1; k = j + 17; s = o + 8; j = z + 6; z = v + 4; q = k + 13; o = d + 6; p = r + 13; c = u + 15; v = e + 12. Given that r = 10, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 6 to s, which gives s = d + 14.\n2. Substitute d = c + 14 to s, which gives s = c + 28.\n3. Substitute c = u + 15 to s, which gives s = u + 43.\n4. Substitute u = p + 3 to s, which gives s = p + 46.\n5. Substitute p = r + 13 to s, which gives s = r + 59.\n6. Substitute r = 10 to s, which gives s = 69.\n\nThus, the final answer is s = \\boxed{69}.",
"index": 14949,
"question": "Suppose a collection of variables is related by the following definitions: u = p + 3; d = c + 14; r = 10; e = r + 1; k = j + 17; s = o + 8; j = z + 6; z = v + 4; q = k + 13; o = d + 6; p = r + 13; c = u + 15; v = e + 12. Given that r = 10, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 4", "l": "a + 8", "p": "l + 3", "q": "p + 8", "g": "q + 1", "s": "g + 7", "j": "v + 2", "z": "j + 16", "b": "z + 14", "w": "b + 6", "f": "w + 3", "k": "f + 19", "v": 13}, "premises": {"v": 13}, "target": "s"}, "answer": {"steps": [["g", "q + 1", "q + 8"], ["q", "p + 8", "p + 16"], ["p", "l + 3", "l + 19"], ["l", "a + 8", "a + 27"], ["a", "v + 4", "v + 31"], ["v", 13, "44"]], "target_var_name": "s", "target_value": 44, "value_dict": {"v": 13}, "is_reverse": true}} | 14,950 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = z + 14; w = b + 6; k = f + 19; q = p + 8; z = j + 16; f = w + 3; a = v + 4; v = 13; j = v + 2; l = a + 8; g = q + 1; s = g + 7; p = l + 3. Given that v = 13, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 1 to s, which gives s = q + 8.\n2. Substitute q = p + 8 to s, which gives s = p + 16.\n3. Substitute p = l + 3 to s, which gives s = l + 19.\n4. Substitute l = a + 8 to s, which gives s = a + 27.\n5. Substitute a = v + 4 to s, which gives s = v + 31.\n6. Substitute v = 13 to s, which gives s = 44.\n\nThus, the final answer is s = \\boxed{44}.",
"index": 14950,
"question": "Suppose a collection of variables is related by the following definitions: b = z + 14; w = b + 6; k = f + 19; q = p + 8; z = j + 16; f = w + 3; a = v + 4; v = 13; j = v + 2; l = a + 8; g = q + 1; s = g + 7; p = l + 3. Given that v = 13, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 6", "u": "s + 10", "j": "u + 12", "g": "j + 16", "a": "g + 18", "m": "a + 9", "k": "f + 10", "z": "k + 17", "e": "z + 8", "r": "e + 17", "d": "r + 9", "w": "d + 15", "f": 4}, "premises": {"f": 4}, "target": "m"}, "answer": {"steps": [["a", "g + 18", "g + 27"], ["g", "j + 16", "j + 43"], ["j", "u + 12", "u + 55"], ["u", "s + 10", "s + 65"], ["s", "f + 6", "f + 71"], ["f", 4, "75"]], "target_var_name": "m", "target_value": 75, "value_dict": {"f": 4}, "is_reverse": true}} | 14,951 | 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 = e + 17; a = g + 18; s = f + 6; m = a + 9; k = f + 10; z = k + 17; d = r + 9; u = s + 10; e = z + 8; w = d + 15; f = 4; j = u + 12; g = j + 16. If f = 4, what is the resulting value of m?",
"role": "user... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 18 to m, which gives m = g + 27.\n2. Substitute g = j + 16 to m, which gives m = j + 43.\n3. Substitute j = u + 12 to m, which gives m = u + 55.\n4. Substitute u = s + 10 to m, which gives m = s + 65.\n5. Substitute s = f + 6 to m, which gives m = f + 71.\n6. Substitute f = 4 to m, which gives m = 75.\n\nThus, the final answer is m = \\boxed{75}.",
"index": 14951,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = e + 17; a = g + 18; s = f + 6; m = a + 9; k = f + 10; z = k + 17; d = r + 9; u = s + 10; e = z + 8; w = d + 15; f = 4; j = u + 12; g = j + 16. If f = 4, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"j": "u + 9", "k": "j + 4", "r": "k + 20", "b": "r + 5", "g": "b + 10", "a": "g + 12", "q": "u + 14", "m": "q + 20", "x": "m + 19", "z": "x + 11", "w": "z + 9", "t": "w + 8", "u": 12}, "premises": {"u": 12}, "target": "a"}, "answer": {"steps": [["g", "b + 10", "b + 22"], ["b", "r + 5", "r + 27"], ["r", "k + 20", "k + 47"], ["k", "j + 4", "j + 51"], ["j", "u + 9", "u + 60"], ["u", 12, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"u": 12}, "is_reverse": true}} | 14,952 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = r + 5; q = u + 14; t = w + 8; z = x + 11; g = b + 10; k = j + 4; w = z + 9; m = q + 20; x = m + 19; j = u + 9; u = 12; r = k + 20; a = g + 12. If u = 12, what is the resulting value of a?",
"role": "use... | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 10 to a, which gives a = b + 22.\n2. Substitute b = r + 5 to a, which gives a = r + 27.\n3. Substitute r = k + 20 to a, which gives a = k + 47.\n4. Substitute k = j + 4 to a, which gives a = j + 51.\n5. Substitute j = u + 9 to a, which gives a = u + 60.\n6. Substitute u = 12 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 14952,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = r + 5; q = u + 14; t = w + 8; z = x + 11; g = b + 10; k = j + 4; w = z + 9; m = q + 20; x = m + 19; j = u + 9; u = 12; r = k + 20; a = g + 12. If u = 12, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 1", "k": "n + 2", "m": "k + 11", "r": "m + 9", "a": "r + 14", "j": "a + 9", "z": "x + 3", "h": "z + 4", "c": "h + 14", "e": "c + 16", "d": "e + 18", "o": "d + 3", "x": 2}, "premises": {"x": 2}, "target": "j"}, "answer": {"steps": [["a", "r + 14", "r + 23"], ["r", "m + 9", "m + 32"], ["m", "k + 11", "k + 43"], ["k", "n + 2", "n + 45"], ["n", "x + 1", "x + 46"], ["x", 2, "48"]], "target_var_name": "j", "target_value": 48, "value_dict": {"x": 2}, "is_reverse": true}} | 14,953 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 11; e = c + 16; h = z + 4; c = h + 14; d = e + 18; z = x + 3; x = 2; o = d + 3; k = n + 2; r = m + 9; n = x + 1; a = r + 14; j = a + 9. If x = 2, what is the resulting value of j?",
"role": "user"
... | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 14 to j, which gives j = r + 23.\n2. Substitute r = m + 9 to j, which gives j = m + 32.\n3. Substitute m = k + 11 to j, which gives j = k + 43.\n4. Substitute k = n + 2 to j, which gives j = n + 45.\n5. Substitute n = x + 1 to j, which gives j = x + 46.\n6. Substitute x = 2 to j, which gives j = 48.\n\nThus, the final answer is j = \\boxed{48}.",
"index": 14953,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 11; e = c + 16; h = z + 4; c = h + 14; d = e + 18; z = x + 3; x = 2; o = d + 3; k = n + 2; r = m + 9; n = x + 1; a = r + 14; j = a + 9. If x = 2, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 9", "y": "i + 15", "d": "y + 10", "n": "d + 18", "b": "n + 14", "u": "b + 3", "w": "s + 16", "z": "w + 17", "c": "z + 10", "h": "c + 20", "m": "h + 7", "q": "m + 4", "s": 20}, "premises": {"s": 20}, "target": "u"}, "answer": {"steps": [["b", "n + 14", "n + 17"], ["n", "d + 18", "d + 35"], ["d", "y + 10", "y + 45"], ["y", "i + 15", "i + 60"], ["i", "s + 9", "s + 69"], ["s", 20, "89"]], "target_var_name": "u", "target_value": 89, "value_dict": {"s": 20}, "is_reverse": true}} | 14,954 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = b + 3; z = w + 17; m = h + 7; q = m + 4; d = y + 10; i = s + 9; h = c + 20; b = n + 14; y = i + 15; n = d + 18; s = 20; w = s + 16; c = z + 10. If s = 20, determine the 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 b = n + 14 to u, which gives u = n + 17.\n2. Substitute n = d + 18 to u, which gives u = d + 35.\n3. Substitute d = y + 10 to u, which gives u = y + 45.\n4. Substitute y = i + 15 to u, which gives u = i + 60.\n5. Substitute i = s + 9 to u, which gives u = s + 69.\n6. Substitute s = 20 to u, which gives u = 89.\n\nThus, the final answer is u = \\boxed{89}.",
"index": 14954,
"question": "Consider a system of variables where each variable is defined as follows: u = b + 3; z = w + 17; m = h + 7; q = m + 4; d = y + 10; i = s + 9; h = c + 20; b = n + 14; y = i + 15; n = d + 18; s = 20; w = s + 16; c = z + 10. If s = 20, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 13", "v": "f + 1", "i": "v + 19", "l": "i + 17", "w": "l + 16", "e": "w + 3", "x": "g + 16", "u": "x + 18", "y": "u + 13", "d": "y + 1", "a": "d + 3", "q": "a + 4", "g": 17}, "premises": {"g": 17}, "target": "e"}, "answer": {"steps": [["w", "l + 16", "l + 19"], ["l", "i + 17", "i + 36"], ["i", "v + 19", "v + 55"], ["v", "f + 1", "f + 56"], ["f", "g + 13", "g + 69"], ["g", 17, "86"]], "target_var_name": "e", "target_value": 86, "value_dict": {"g": 17}, "is_reverse": true}} | 14,955 | 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 = x + 18; q = a + 4; y = u + 13; w = l + 16; e = w + 3; i = v + 19; x = g + 16; g = 17; d = y + 1; f = g + 13; v = f + 1; l = i + 17; a = d + 3. If g = 17, what is the resulting value of e?",
"role": "use... | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 16 to e, which gives e = l + 19.\n2. Substitute l = i + 17 to e, which gives e = i + 36.\n3. Substitute i = v + 19 to e, which gives e = v + 55.\n4. Substitute v = f + 1 to e, which gives e = f + 56.\n5. Substitute f = g + 13 to e, which gives e = g + 69.\n6. Substitute g = 17 to e, which gives e = 86.\n\nThus, the final answer is e = \\boxed{86}.",
"index": 14955,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = x + 18; q = a + 4; y = u + 13; w = l + 16; e = w + 3; i = v + 19; x = g + 16; g = 17; d = y + 1; f = g + 13; v = f + 1; l = i + 17; a = d + 3. If g = 17, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"c": "k + 5", "f": "c + 11", "x": "f + 14", "g": "x + 8", "l": "g + 13", "b": "l + 2", "y": "k + 10", "z": "y + 2", "n": "z + 20", "e": "n + 18", "m": "e + 13", "t": "m + 10", "k": 13}, "premises": {"k": 13}, "target": "b"}, "answer": {"steps": [["l", "g + 13", "g + 15"], ["g", "x + 8", "x + 23"], ["x", "f + 14", "f + 37"], ["f", "c + 11", "c + 48"], ["c", "k + 5", "k + 53"], ["k", 13, "66"]], "target_var_name": "b", "target_value": 66, "value_dict": {"k": 13}, "is_reverse": true}} | 14,956 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = m + 10; n = z + 20; l = g + 13; f = c + 11; k = 13; b = l + 2; c = k + 5; y = k + 10; e = n + 18; z = y + 2; m = e + 13; x = f + 14; g = x + 8. Given that k = 13, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 13 to b, which gives b = g + 15.\n2. Substitute g = x + 8 to b, which gives b = x + 23.\n3. Substitute x = f + 14 to b, which gives b = f + 37.\n4. Substitute f = c + 11 to b, which gives b = c + 48.\n5. Substitute c = k + 5 to b, which gives b = k + 53.\n6. Substitute k = 13 to b, which gives b = 66.\n\nThus, the final answer is b = \\boxed{66}.",
"index": 14956,
"question": "Suppose a collection of variables is related by the following definitions: t = m + 10; n = z + 20; l = g + 13; f = c + 11; k = 13; b = l + 2; c = k + 5; y = k + 10; e = n + 18; z = y + 2; m = e + 13; x = f + 14; g = x + 8. Given that k = 13, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 16", "q": "n + 10", "g": "q + 17", "k": "g + 20", "z": "k + 2", "d": "z + 7", "h": "v + 2", "m": "h + 10", "a": "m + 20", "s": "a + 10", "x": "s + 18", "o": "x + 9", "v": 5}, "premises": {"v": 5}, "target": "d"}, "answer": {"steps": [["z", "k + 2", "k + 9"], ["k", "g + 20", "g + 29"], ["g", "q + 17", "q + 46"], ["q", "n + 10", "n + 56"], ["n", "v + 16", "v + 72"], ["v", 5, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"v": 5}, "is_reverse": true}} | 14,957 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = k + 2; g = q + 17; x = s + 18; o = x + 9; a = m + 20; v = 5; h = v + 2; s = a + 10; q = n + 10; m = h + 10; n = v + 16; k = g + 20; d = z + 7. Given that v = 5, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 2 to d, which gives d = k + 9.\n2. Substitute k = g + 20 to d, which gives d = g + 29.\n3. Substitute g = q + 17 to d, which gives d = q + 46.\n4. Substitute q = n + 10 to d, which gives d = n + 56.\n5. Substitute n = v + 16 to d, which gives d = v + 72.\n6. Substitute v = 5 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 14957,
"question": "Suppose a collection of variables is related by the following definitions: z = k + 2; g = q + 17; x = s + 18; o = x + 9; a = m + 20; v = 5; h = v + 2; s = a + 10; q = n + 10; m = h + 10; n = v + 16; k = g + 20; d = z + 7. Given that v = 5, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 19", "t": "m + 2", "y": "t + 13", "u": "y + 2", "o": "u + 5", "p": "o + 2", "l": "f + 11", "a": "l + 12", "h": "a + 6", "n": "h + 17", "v": "n + 5", "d": "v + 17", "f": 1}, "premises": {"f": 1}, "target": "p"}, "answer": {"steps": [["o", "u + 5", "u + 7"], ["u", "y + 2", "y + 9"], ["y", "t + 13", "t + 22"], ["t", "m + 2", "m + 24"], ["m", "f + 19", "f + 43"], ["f", 1, "44"]], "target_var_name": "p", "target_value": 44, "value_dict": {"f": 1}, "is_reverse": true}} | 14,958 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = a + 6; n = h + 17; u = y + 2; v = n + 5; p = o + 2; y = t + 13; l = f + 11; a = l + 12; m = f + 19; o = u + 5; d = v + 17; f = 1; t = m + 2. Given that f = 1, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 5 to p, which gives p = u + 7.\n2. Substitute u = y + 2 to p, which gives p = y + 9.\n3. Substitute y = t + 13 to p, which gives p = t + 22.\n4. Substitute t = m + 2 to p, which gives p = m + 24.\n5. Substitute m = f + 19 to p, which gives p = f + 43.\n6. Substitute f = 1 to p, which gives p = 44.\n\nThus, the final answer is p = \\boxed{44}.",
"index": 14958,
"question": "Suppose a collection of variables is related by the following definitions: h = a + 6; n = h + 17; u = y + 2; v = n + 5; p = o + 2; y = t + 13; l = f + 11; a = l + 12; m = f + 19; o = u + 5; d = v + 17; f = 1; t = m + 2. Given that f = 1, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 19", "q": "e + 8", "r": "q + 11", "j": "r + 7", "g": "j + 8", "w": "g + 10", "b": "t + 7", "s": "b + 14", "o": "s + 12", "k": "o + 8", "y": "k + 7", "p": "y + 12", "t": 9}, "premises": {"t": 9}, "target": "w"}, "answer": {"steps": [["g", "j + 8", "j + 18"], ["j", "r + 7", "r + 25"], ["r", "q + 11", "q + 36"], ["q", "e + 8", "e + 44"], ["e", "t + 19", "t + 63"], ["t", 9, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"t": 9}, "is_reverse": true}} | 14,959 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 10; p = y + 12; g = j + 8; o = s + 12; s = b + 14; y = k + 7; k = o + 8; q = e + 8; t = 9; j = r + 7; b = t + 7; e = t + 19; r = q + 11. If t = 9, what is the resulting value of w?",
"role": "user"
... | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 8 to w, which gives w = j + 18.\n2. Substitute j = r + 7 to w, which gives w = r + 25.\n3. Substitute r = q + 11 to w, which gives w = q + 36.\n4. Substitute q = e + 8 to w, which gives w = e + 44.\n5. Substitute e = t + 19 to w, which gives w = t + 63.\n6. Substitute t = 9 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 14959,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 10; p = y + 12; g = j + 8; o = s + 12; s = b + 14; y = k + 7; k = o + 8; q = e + 8; t = 9; j = r + 7; b = t + 7; e = t + 19; r = q + 11. If t = 9, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 9", "d": "f + 4", "h": "d + 9", "z": "h + 4", "w": "z + 9", "b": "w + 7", "c": "p + 17", "m": "c + 8", "x": "m + 12", "u": "x + 4", "k": "u + 2", "q": "k + 1", "p": 14}, "premises": {"p": 14}, "target": "b"}, "answer": {"steps": [["w", "z + 9", "z + 16"], ["z", "h + 4", "h + 20"], ["h", "d + 9", "d + 29"], ["d", "f + 4", "f + 33"], ["f", "p + 9", "p + 42"], ["p", 14, "56"]], "target_var_name": "b", "target_value": 56, "value_dict": {"p": 14}, "is_reverse": true}} | 14,960 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = m + 12; h = d + 9; p = 14; c = p + 17; z = h + 4; b = w + 7; d = f + 4; k = u + 2; w = z + 9; m = c + 8; u = x + 4; q = k + 1; f = p + 9. If p = 14, what is the resulting value of b?",
"role": "user"
... | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 9 to b, which gives b = z + 16.\n2. Substitute z = h + 4 to b, which gives b = h + 20.\n3. Substitute h = d + 9 to b, which gives b = d + 29.\n4. Substitute d = f + 4 to b, which gives b = f + 33.\n5. Substitute f = p + 9 to b, which gives b = p + 42.\n6. Substitute p = 14 to b, which gives b = 56.\n\nThus, the final answer is b = \\boxed{56}.",
"index": 14960,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = m + 12; h = d + 9; p = 14; c = p + 17; z = h + 4; b = w + 7; d = f + 4; k = u + 2; w = z + 9; m = c + 8; u = x + 4; q = k + 1; f = p + 9. If p = 14, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 18", "d": "t + 2", "y": "d + 1", "c": "y + 20", "f": "c + 20", "i": "f + 14", "w": "p + 7", "s": "w + 19", "v": "s + 11", "x": "v + 3", "u": "x + 10", "j": "u + 5", "p": 12}, "premises": {"p": 12}, "target": "i"}, "answer": {"steps": [["f", "c + 20", "c + 34"], ["c", "y + 20", "y + 54"], ["y", "d + 1", "d + 55"], ["d", "t + 2", "t + 57"], ["t", "p + 18", "p + 75"], ["p", 12, "87"]], "target_var_name": "i", "target_value": 87, "value_dict": {"p": 12}, "is_reverse": true}} | 14,961 | 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 = p + 18; w = p + 7; d = t + 2; i = f + 14; v = s + 11; p = 12; f = c + 20; s = w + 19; u = x + 10; c = y + 20; j = u + 5; y = d + 1; x = v + 3. If p = 12, what is the resulting value of i?",
"role": "use... | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 20 to i, which gives i = c + 34.\n2. Substitute c = y + 20 to i, which gives i = y + 54.\n3. Substitute y = d + 1 to i, which gives i = d + 55.\n4. Substitute d = t + 2 to i, which gives i = t + 57.\n5. Substitute t = p + 18 to i, which gives i = p + 75.\n6. Substitute p = 12 to i, which gives i = 87.\n\nThus, the final answer is i = \\boxed{87}.",
"index": 14961,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 18; w = p + 7; d = t + 2; i = f + 14; v = s + 11; p = 12; f = c + 20; s = w + 19; u = x + 10; c = y + 20; j = u + 5; y = d + 1; x = v + 3. If p = 12, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 5", "n": "s + 14", "b": "n + 17", "u": "b + 5", "q": "u + 10", "k": "q + 5", "e": "j + 1", "x": "e + 20", "m": "x + 16", "f": "m + 14", "i": "f + 2", "a": "i + 7", "j": 7}, "premises": {"j": 7}, "target": "k"}, "answer": {"steps": [["q", "u + 10", "u + 15"], ["u", "b + 5", "b + 20"], ["b", "n + 17", "n + 37"], ["n", "s + 14", "s + 51"], ["s", "j + 5", "j + 56"], ["j", 7, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"j": 7}, "is_reverse": true}} | 14,962 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = q + 5; b = n + 17; i = f + 2; e = j + 1; f = m + 14; j = 7; x = e + 20; s = j + 5; q = u + 10; a = i + 7; m = x + 16; n = s + 14; u = b + 5. Given that j = 7, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 10 to k, which gives k = u + 15.\n2. Substitute u = b + 5 to k, which gives k = b + 20.\n3. Substitute b = n + 17 to k, which gives k = n + 37.\n4. Substitute n = s + 14 to k, which gives k = s + 51.\n5. Substitute s = j + 5 to k, which gives k = j + 56.\n6. Substitute j = 7 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 14962,
"question": "Suppose a collection of variables is related by the following definitions: k = q + 5; b = n + 17; i = f + 2; e = j + 1; f = m + 14; j = 7; x = e + 20; s = j + 5; q = u + 10; a = i + 7; m = x + 16; n = s + 14; u = b + 5. Given that j = 7, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 6", "p": "f + 7", "c": "p + 11", "g": "c + 9", "w": "g + 11", "d": "w + 13", "o": "r + 13", "a": "o + 16", "k": "a + 3", "z": "k + 5", "e": "z + 6", "y": "e + 20", "r": 5}, "premises": {"r": 5}, "target": "d"}, "answer": {"steps": [["w", "g + 11", "g + 24"], ["g", "c + 9", "c + 33"], ["c", "p + 11", "p + 44"], ["p", "f + 7", "f + 51"], ["f", "r + 6", "r + 57"], ["r", 5, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"r": 5}, "is_reverse": true}} | 14,963 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = g + 11; r = 5; e = z + 6; g = c + 9; a = o + 16; f = r + 6; p = f + 7; z = k + 5; o = r + 13; c = p + 11; k = a + 3; d = w + 13; y = e + 20. Given that r = 5, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 11 to d, which gives d = g + 24.\n2. Substitute g = c + 9 to d, which gives d = c + 33.\n3. Substitute c = p + 11 to d, which gives d = p + 44.\n4. Substitute p = f + 7 to d, which gives d = f + 51.\n5. Substitute f = r + 6 to d, which gives d = r + 57.\n6. Substitute r = 5 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 14963,
"question": "Suppose a collection of variables is related by the following definitions: w = g + 11; r = 5; e = z + 6; g = c + 9; a = o + 16; f = r + 6; p = f + 7; z = k + 5; o = r + 13; c = p + 11; k = a + 3; d = w + 13; y = e + 20. Given that r = 5, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 16", "t": "i + 7", "j": "t + 17", "r": "j + 19", "v": "r + 11", "l": "v + 10", "u": "q + 3", "n": "u + 16", "y": "n + 8", "m": "y + 16", "d": "m + 16", "b": "d + 9", "q": 4}, "premises": {"q": 4}, "target": "l"}, "answer": {"steps": [["v", "r + 11", "r + 21"], ["r", "j + 19", "j + 40"], ["j", "t + 17", "t + 57"], ["t", "i + 7", "i + 64"], ["i", "q + 16", "q + 80"], ["q", 4, "84"]], "target_var_name": "l", "target_value": 84, "value_dict": {"q": 4}, "is_reverse": true}} | 14,964 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = r + 11; t = i + 7; y = n + 8; m = y + 16; i = q + 16; l = v + 10; q = 4; r = j + 19; b = d + 9; n = u + 16; j = t + 17; u = q + 3; d = m + 16. Given that q = 4, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 11 to l, which gives l = r + 21.\n2. Substitute r = j + 19 to l, which gives l = j + 40.\n3. Substitute j = t + 17 to l, which gives l = t + 57.\n4. Substitute t = i + 7 to l, which gives l = i + 64.\n5. Substitute i = q + 16 to l, which gives l = q + 80.\n6. Substitute q = 4 to l, which gives l = 84.\n\nThus, the final answer is l = \\boxed{84}.",
"index": 14964,
"question": "Suppose a collection of variables is related by the following definitions: v = r + 11; t = i + 7; y = n + 8; m = y + 16; i = q + 16; l = v + 10; q = 4; r = j + 19; b = d + 9; n = u + 16; j = t + 17; u = q + 3; d = m + 16. Given that q = 4, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 11", "h": "n + 3", "q": "h + 15", "y": "q + 1", "j": "y + 15", "c": "j + 12", "m": "r + 7", "f": "m + 20", "b": "f + 11", "u": "b + 4", "o": "u + 12", "p": "o + 14", "r": 16}, "premises": {"r": 16}, "target": "c"}, "answer": {"steps": [["j", "y + 15", "y + 27"], ["y", "q + 1", "q + 28"], ["q", "h + 15", "h + 43"], ["h", "n + 3", "n + 46"], ["n", "r + 11", "r + 57"], ["r", 16, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"r": 16}, "is_reverse": true}} | 14,965 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = q + 1; q = h + 15; f = m + 20; m = r + 7; c = j + 12; b = f + 11; j = y + 15; n = r + 11; o = u + 12; u = b + 4; r = 16; h = n + 3; p = o + 14. If r = 16, what is the resulting value of c?",
"role": "us... | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 15 to c, which gives c = y + 27.\n2. Substitute y = q + 1 to c, which gives c = q + 28.\n3. Substitute q = h + 15 to c, which gives c = h + 43.\n4. Substitute h = n + 3 to c, which gives c = n + 46.\n5. Substitute n = r + 11 to c, which gives c = r + 57.\n6. Substitute r = 16 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 14965,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = q + 1; q = h + 15; f = m + 20; m = r + 7; c = j + 12; b = f + 11; j = y + 15; n = r + 11; o = u + 12; u = b + 4; r = 16; h = n + 3; p = o + 14. If r = 16, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 4", "c": "y + 8", "n": "c + 6", "i": "n + 13", "u": "i + 8", "w": "u + 9", "d": "h + 4", "e": "d + 12", "b": "e + 11", "v": "b + 3", "f": "v + 4", "r": "f + 12", "h": 15}, "premises": {"h": 15}, "target": "w"}, "answer": {"steps": [["u", "i + 8", "i + 17"], ["i", "n + 13", "n + 30"], ["n", "c + 6", "c + 36"], ["c", "y + 8", "y + 44"], ["y", "h + 4", "h + 48"], ["h", 15, "63"]], "target_var_name": "w", "target_value": 63, "value_dict": {"h": 15}, "is_reverse": true}} | 14,966 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = y + 8; y = h + 4; w = u + 9; f = v + 4; v = b + 3; d = h + 4; b = e + 11; e = d + 12; r = f + 12; u = i + 8; n = c + 6; i = n + 13; h = 15. If h = 15, what is the resulting value of w?",
"role": "user"
... | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 8 to w, which gives w = i + 17.\n2. Substitute i = n + 13 to w, which gives w = n + 30.\n3. Substitute n = c + 6 to w, which gives w = c + 36.\n4. Substitute c = y + 8 to w, which gives w = y + 44.\n5. Substitute y = h + 4 to w, which gives w = h + 48.\n6. Substitute h = 15 to w, which gives w = 63.\n\nThus, the final answer is w = \\boxed{63}.",
"index": 14966,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = y + 8; y = h + 4; w = u + 9; f = v + 4; v = b + 3; d = h + 4; b = e + 11; e = d + 12; r = f + 12; u = i + 8; n = c + 6; i = n + 13; h = 15. If h = 15, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 14", "d": "z + 12", "t": "d + 19", "x": "t + 11", "f": "x + 9", "o": "f + 13", "h": "a + 17", "y": "h + 10", "c": "y + 14", "g": "c + 12", "i": "g + 20", "v": "i + 17", "a": 10}, "premises": {"a": 10}, "target": "o"}, "answer": {"steps": [["f", "x + 9", "x + 22"], ["x", "t + 11", "t + 33"], ["t", "d + 19", "d + 52"], ["d", "z + 12", "z + 64"], ["z", "a + 14", "a + 78"], ["a", 10, "88"]], "target_var_name": "o", "target_value": 88, "value_dict": {"a": 10}, "is_reverse": true}} | 14,967 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = i + 17; g = c + 12; a = 10; f = x + 9; d = z + 12; i = g + 20; y = h + 10; z = a + 14; h = a + 17; t = d + 19; c = y + 14; o = f + 13; x = t + 11. If a = 10, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 9 to o, which gives o = x + 22.\n2. Substitute x = t + 11 to o, which gives o = t + 33.\n3. Substitute t = d + 19 to o, which gives o = d + 52.\n4. Substitute d = z + 12 to o, which gives o = z + 64.\n5. Substitute z = a + 14 to o, which gives o = a + 78.\n6. Substitute a = 10 to o, which gives o = 88.\n\nThus, the final answer is o = \\boxed{88}.",
"index": 14967,
"question": "Consider a system of variables where each variable is defined as follows: v = i + 17; g = c + 12; a = 10; f = x + 9; d = z + 12; i = g + 20; y = h + 10; z = a + 14; h = a + 17; t = d + 19; c = y + 14; o = f + 13; x = t + 11. If a = 10, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "f + 8", "a": "q + 13", "r": "a + 20", "v": "r + 9", "i": "v + 3", "j": "i + 8", "z": "f + 6", "s": "z + 16", "e": "s + 20", "c": "e + 8", "x": "c + 18", "n": "x + 5", "f": 5}, "premises": {"f": 5}, "target": "j"}, "answer": {"steps": [["i", "v + 3", "v + 11"], ["v", "r + 9", "r + 20"], ["r", "a + 20", "a + 40"], ["a", "q + 13", "q + 53"], ["q", "f + 8", "f + 61"], ["f", 5, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"f": 5}, "is_reverse": true}} | 14,968 | 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 = i + 8; z = f + 6; q = f + 8; s = z + 16; i = v + 3; r = a + 20; n = x + 5; e = s + 20; x = c + 18; c = e + 8; f = 5; v = r + 9; a = q + 13. If f = 5, what is the resulting value of j?",
"role": "user"
... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 3 to j, which gives j = v + 11.\n2. Substitute v = r + 9 to j, which gives j = r + 20.\n3. Substitute r = a + 20 to j, which gives j = a + 40.\n4. Substitute a = q + 13 to j, which gives j = q + 53.\n5. Substitute q = f + 8 to j, which gives j = f + 61.\n6. Substitute f = 5 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 14968,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 8; z = f + 6; q = f + 8; s = z + 16; i = v + 3; r = a + 20; n = x + 5; e = s + 20; x = c + 18; c = e + 8; f = 5; v = r + 9; a = q + 13. If f = 5, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 19", "w": "d + 4", "a": "w + 20", "r": "a + 8", "c": "r + 13", "v": "c + 14", "n": "f + 13", "u": "n + 18", "t": "u + 15", "h": "t + 7", "b": "h + 1", "x": "b + 4", "f": 18}, "premises": {"f": 18}, "target": "v"}, "answer": {"steps": [["c", "r + 13", "r + 27"], ["r", "a + 8", "a + 35"], ["a", "w + 20", "w + 55"], ["w", "d + 4", "d + 59"], ["d", "f + 19", "f + 78"], ["f", 18, "96"]], "target_var_name": "v", "target_value": 96, "value_dict": {"f": 18}, "is_reverse": true}} | 14,969 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = u + 15; x = b + 4; a = w + 20; r = a + 8; w = d + 4; u = n + 18; h = t + 7; d = f + 19; f = 18; v = c + 14; b = h + 1; c = r + 13; n = f + 13. If f = 18, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 13 to v, which gives v = r + 27.\n2. Substitute r = a + 8 to v, which gives v = a + 35.\n3. Substitute a = w + 20 to v, which gives v = w + 55.\n4. Substitute w = d + 4 to v, which gives v = d + 59.\n5. Substitute d = f + 19 to v, which gives v = f + 78.\n6. Substitute f = 18 to v, which gives v = 96.\n\nThus, the final answer is v = \\boxed{96}.",
"index": 14969,
"question": "Consider a system of variables where each variable is defined as follows: t = u + 15; x = b + 4; a = w + 20; r = a + 8; w = d + 4; u = n + 18; h = t + 7; d = f + 19; f = 18; v = c + 14; b = h + 1; c = r + 13; n = f + 13. If f = 18, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 17", "t": "r + 14", "p": "t + 8", "v": "p + 20", "o": "v + 18", "z": "o + 16", "k": "g + 15", "s": "k + 18", "i": "s + 11", "b": "i + 8", "y": "b + 8", "f": "y + 10", "g": 14}, "premises": {"g": 14}, "target": "z"}, "answer": {"steps": [["o", "v + 18", "v + 34"], ["v", "p + 20", "p + 54"], ["p", "t + 8", "t + 62"], ["t", "r + 14", "r + 76"], ["r", "g + 17", "g + 93"], ["g", 14, "107"]], "target_var_name": "z", "target_value": 107, "value_dict": {"g": 14}, "is_reverse": true}} | 14,970 | 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 = r + 14; g = 14; o = v + 18; z = o + 16; f = y + 10; p = t + 8; r = g + 17; b = i + 8; y = b + 8; v = p + 20; k = g + 15; s = k + 18; i = s + 11. If g = 14, what is the resulting value of z?",
"role": "u... | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 18 to z, which gives z = v + 34.\n2. Substitute v = p + 20 to z, which gives z = p + 54.\n3. Substitute p = t + 8 to z, which gives z = t + 62.\n4. Substitute t = r + 14 to z, which gives z = r + 76.\n5. Substitute r = g + 17 to z, which gives z = g + 93.\n6. Substitute g = 14 to z, which gives z = 107.\n\nThus, the final answer is z = \\boxed{107}.",
"index": 14970,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 14; g = 14; o = v + 18; z = o + 16; f = y + 10; p = t + 8; r = g + 17; b = i + 8; y = b + 8; v = p + 20; k = g + 15; s = k + 18; i = s + 11. If g = 14, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 7", "u": "f + 2", "w": "u + 20", "l": "w + 20", "c": "l + 4", "k": "c + 14", "b": "t + 15", "e": "b + 3", "v": "e + 14", "q": "v + 12", "p": "q + 12", "a": "p + 16", "t": 9}, "premises": {"t": 9}, "target": "k"}, "answer": {"steps": [["c", "l + 4", "l + 18"], ["l", "w + 20", "w + 38"], ["w", "u + 20", "u + 58"], ["u", "f + 2", "f + 60"], ["f", "t + 7", "t + 67"], ["t", 9, "76"]], "target_var_name": "k", "target_value": 76, "value_dict": {"t": 9}, "is_reverse": true}} | 14,971 | 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 = b + 3; v = e + 14; f = t + 7; c = l + 4; b = t + 15; t = 9; w = u + 20; k = c + 14; p = q + 12; q = v + 12; u = f + 2; a = p + 16; l = w + 20. If t = 9, what is the resulting 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 c = l + 4 to k, which gives k = l + 18.\n2. Substitute l = w + 20 to k, which gives k = w + 38.\n3. Substitute w = u + 20 to k, which gives k = u + 58.\n4. Substitute u = f + 2 to k, which gives k = f + 60.\n5. Substitute f = t + 7 to k, which gives k = t + 67.\n6. Substitute t = 9 to k, which gives k = 76.\n\nThus, the final answer is k = \\boxed{76}.",
"index": 14971,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = b + 3; v = e + 14; f = t + 7; c = l + 4; b = t + 15; t = 9; w = u + 20; k = c + 14; p = q + 12; q = v + 12; u = f + 2; a = p + 16; l = w + 20. If t = 9, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 16", "m": "g + 10", "x": "m + 13", "p": "x + 18", "o": "p + 12", "d": "o + 16", "v": "e + 3", "s": "v + 5", "u": "s + 16", "l": "u + 15", "r": "l + 6", "k": "r + 7", "e": 8}, "premises": {"e": 8}, "target": "d"}, "answer": {"steps": [["o", "p + 12", "p + 28"], ["p", "x + 18", "x + 46"], ["x", "m + 13", "m + 59"], ["m", "g + 10", "g + 69"], ["g", "e + 16", "e + 85"], ["e", 8, "93"]], "target_var_name": "d", "target_value": 93, "value_dict": {"e": 8}, "is_reverse": true}} | 14,972 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = s + 16; e = 8; v = e + 3; r = l + 6; s = v + 5; x = m + 13; m = g + 10; l = u + 15; d = o + 16; k = r + 7; g = e + 16; o = p + 12; p = x + 18. If e = 8, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 12 to d, which gives d = p + 28.\n2. Substitute p = x + 18 to d, which gives d = x + 46.\n3. Substitute x = m + 13 to d, which gives d = m + 59.\n4. Substitute m = g + 10 to d, which gives d = g + 69.\n5. Substitute g = e + 16 to d, which gives d = e + 85.\n6. Substitute e = 8 to d, which gives d = 93.\n\nThus, the final answer is d = \\boxed{93}.",
"index": 14972,
"question": "Consider a system of variables where each variable is defined as follows: u = s + 16; e = 8; v = e + 3; r = l + 6; s = v + 5; x = m + 13; m = g + 10; l = u + 15; d = o + 16; k = r + 7; g = e + 16; o = p + 12; p = x + 18. If e = 8, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 8", "f": "y + 12", "p": "f + 4", "x": "p + 5", "a": "x + 15", "b": "a + 15", "v": "u + 11", "e": "v + 15", "m": "e + 6", "h": "m + 16", "q": "h + 7", "n": "q + 5", "u": 2}, "premises": {"u": 2}, "target": "b"}, "answer": {"steps": [["a", "x + 15", "x + 30"], ["x", "p + 5", "p + 35"], ["p", "f + 4", "f + 39"], ["f", "y + 12", "y + 51"], ["y", "u + 8", "u + 59"], ["u", 2, "61"]], "target_var_name": "b", "target_value": 61, "value_dict": {"u": 2}, "is_reverse": true}} | 14,973 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = q + 5; m = e + 6; f = y + 12; x = p + 5; q = h + 7; e = v + 15; p = f + 4; a = x + 15; v = u + 11; b = a + 15; h = m + 16; u = 2; y = u + 8. Given that u = 2, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 15 to b, which gives b = x + 30.\n2. Substitute x = p + 5 to b, which gives b = p + 35.\n3. Substitute p = f + 4 to b, which gives b = f + 39.\n4. Substitute f = y + 12 to b, which gives b = y + 51.\n5. Substitute y = u + 8 to b, which gives b = u + 59.\n6. Substitute u = 2 to b, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 14973,
"question": "Suppose a collection of variables is related by the following definitions: n = q + 5; m = e + 6; f = y + 12; x = p + 5; q = h + 7; e = v + 15; p = f + 4; a = x + 15; v = u + 11; b = a + 15; h = m + 16; u = 2; y = u + 8. Given that u = 2, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 4", "o": "y + 11", "f": "o + 7", "k": "f + 20", "h": "k + 1", "b": "h + 5", "j": "d + 2", "r": "j + 19", "a": "r + 8", "w": "a + 8", "l": "w + 8", "i": "l + 2", "d": 3}, "premises": {"d": 3}, "target": "b"}, "answer": {"steps": [["h", "k + 1", "k + 6"], ["k", "f + 20", "f + 26"], ["f", "o + 7", "o + 33"], ["o", "y + 11", "y + 44"], ["y", "d + 4", "d + 48"], ["d", 3, "51"]], "target_var_name": "b", "target_value": 51, "value_dict": {"d": 3}, "is_reverse": true}} | 14,974 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = d + 2; r = j + 19; i = l + 2; f = o + 7; o = y + 11; d = 3; l = w + 8; h = k + 1; a = r + 8; b = h + 5; y = d + 4; w = a + 8; k = f + 20. If d = 3, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 1 to b, which gives b = k + 6.\n2. Substitute k = f + 20 to b, which gives b = f + 26.\n3. Substitute f = o + 7 to b, which gives b = o + 33.\n4. Substitute o = y + 11 to b, which gives b = y + 44.\n5. Substitute y = d + 4 to b, which gives b = d + 48.\n6. Substitute d = 3 to b, which gives b = 51.\n\nThus, the final answer is b = \\boxed{51}.",
"index": 14974,
"question": "Consider a system of variables where each variable is defined as follows: j = d + 2; r = j + 19; i = l + 2; f = o + 7; o = y + 11; d = 3; l = w + 8; h = k + 1; a = r + 8; b = h + 5; y = d + 4; w = a + 8; k = f + 20. If d = 3, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 8", "t": "u + 1", "p": "t + 6", "v": "p + 2", "e": "v + 8", "i": "e + 17", "h": "n + 8", "b": "h + 10", "s": "b + 5", "y": "s + 5", "c": "y + 13", "d": "c + 18", "n": 19}, "premises": {"n": 19}, "target": "i"}, "answer": {"steps": [["e", "v + 8", "v + 25"], ["v", "p + 2", "p + 27"], ["p", "t + 6", "t + 33"], ["t", "u + 1", "u + 34"], ["u", "n + 8", "n + 42"], ["n", 19, "61"]], "target_var_name": "i", "target_value": 61, "value_dict": {"n": 19}, "is_reverse": true}} | 14,975 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = s + 5; p = t + 6; n = 19; c = y + 13; v = p + 2; t = u + 1; b = h + 10; e = v + 8; u = n + 8; i = e + 17; s = b + 5; d = c + 18; h = n + 8. If n = 19, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 8 to i, which gives i = v + 25.\n2. Substitute v = p + 2 to i, which gives i = p + 27.\n3. Substitute p = t + 6 to i, which gives i = t + 33.\n4. Substitute t = u + 1 to i, which gives i = u + 34.\n5. Substitute u = n + 8 to i, which gives i = n + 42.\n6. Substitute n = 19 to i, which gives i = 61.\n\nThus, the final answer is i = \\boxed{61}.",
"index": 14975,
"question": "Consider a system of variables where each variable is defined as follows: y = s + 5; p = t + 6; n = 19; c = y + 13; v = p + 2; t = u + 1; b = h + 10; e = v + 8; u = n + 8; i = e + 17; s = b + 5; d = c + 18; h = n + 8. If n = 19, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 3", "a": "p + 4", "n": "a + 8", "w": "n + 14", "h": "w + 7", "i": "h + 5", "d": "k + 13", "y": "d + 2", "m": "y + 18", "v": "m + 19", "o": "v + 17", "r": "o + 17", "k": 9}, "premises": {"k": 9}, "target": "i"}, "answer": {"steps": [["h", "w + 7", "w + 12"], ["w", "n + 14", "n + 26"], ["n", "a + 8", "a + 34"], ["a", "p + 4", "p + 38"], ["p", "k + 3", "k + 41"], ["k", 9, "50"]], "target_var_name": "i", "target_value": 50, "value_dict": {"k": 9}, "is_reverse": true}} | 14,976 | 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 = d + 2; w = n + 14; n = a + 8; p = k + 3; a = p + 4; v = m + 19; h = w + 7; o = v + 17; m = y + 18; i = h + 5; r = o + 17; d = k + 13; k = 9. If k = 9, what is the resulting value of i?",
"role": "user"
... | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 7 to i, which gives i = w + 12.\n2. Substitute w = n + 14 to i, which gives i = n + 26.\n3. Substitute n = a + 8 to i, which gives i = a + 34.\n4. Substitute a = p + 4 to i, which gives i = p + 38.\n5. Substitute p = k + 3 to i, which gives i = k + 41.\n6. Substitute k = 9 to i, which gives i = 50.\n\nThus, the final answer is i = \\boxed{50}.",
"index": 14976,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = d + 2; w = n + 14; n = a + 8; p = k + 3; a = p + 4; v = m + 19; h = w + 7; o = v + 17; m = y + 18; i = h + 5; r = o + 17; d = k + 13; k = 9. If k = 9, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 3", "i": "a + 6", "f": "i + 3", "r": "f + 11", "w": "r + 20", "m": "w + 2", "d": "p + 18", "n": "d + 11", "b": "n + 6", "z": "b + 9", "o": "z + 4", "q": "o + 12", "p": 17}, "premises": {"p": 17}, "target": "m"}, "answer": {"steps": [["w", "r + 20", "r + 22"], ["r", "f + 11", "f + 33"], ["f", "i + 3", "i + 36"], ["i", "a + 6", "a + 42"], ["a", "p + 3", "p + 45"], ["p", 17, "62"]], "target_var_name": "m", "target_value": 62, "value_dict": {"p": 17}, "is_reverse": true}} | 14,977 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = f + 11; o = z + 4; p = 17; n = d + 11; f = i + 3; b = n + 6; d = p + 18; w = r + 20; i = a + 6; z = b + 9; m = w + 2; a = p + 3; q = o + 12. Given that p = 17, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 20 to m, which gives m = r + 22.\n2. Substitute r = f + 11 to m, which gives m = f + 33.\n3. Substitute f = i + 3 to m, which gives m = i + 36.\n4. Substitute i = a + 6 to m, which gives m = a + 42.\n5. Substitute a = p + 3 to m, which gives m = p + 45.\n6. Substitute p = 17 to m, which gives m = 62.\n\nThus, the final answer is m = \\boxed{62}.",
"index": 14977,
"question": "Suppose a collection of variables is related by the following definitions: r = f + 11; o = z + 4; p = 17; n = d + 11; f = i + 3; b = n + 6; d = p + 18; w = r + 20; i = a + 6; z = b + 9; m = w + 2; a = p + 3; q = o + 12. Given that p = 17, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 15", "d": "g + 5", "e": "d + 9", "l": "e + 7", "a": "l + 14", "c": "a + 10", "z": "q + 17", "r": "z + 7", "y": "r + 12", "v": "y + 20", "f": "v + 18", "w": "f + 14", "q": 11}, "premises": {"q": 11}, "target": "c"}, "answer": {"steps": [["a", "l + 14", "l + 24"], ["l", "e + 7", "e + 31"], ["e", "d + 9", "d + 40"], ["d", "g + 5", "g + 45"], ["g", "q + 15", "q + 60"], ["q", 11, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"q": 11}, "is_reverse": true}} | 14,978 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = q + 17; v = y + 20; w = f + 14; q = 11; d = g + 5; y = r + 12; r = z + 7; l = e + 7; c = a + 10; g = q + 15; a = l + 14; e = d + 9; f = v + 18. Given that q = 11, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 14 to c, which gives c = l + 24.\n2. Substitute l = e + 7 to c, which gives c = e + 31.\n3. Substitute e = d + 9 to c, which gives c = d + 40.\n4. Substitute d = g + 5 to c, which gives c = g + 45.\n5. Substitute g = q + 15 to c, which gives c = q + 60.\n6. Substitute q = 11 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 14978,
"question": "Suppose a collection of variables is related by the following definitions: z = q + 17; v = y + 20; w = f + 14; q = 11; d = g + 5; y = r + 12; r = z + 7; l = e + 7; c = a + 10; g = q + 15; a = l + 14; e = d + 9; f = v + 18. Given that q = 11, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 5", "d": "v + 7", "z": "d + 12", "o": "z + 12", "a": "o + 15", "b": "a + 12", "u": "q + 12", "x": "u + 7", "j": "x + 12", "w": "j + 16", "r": "w + 11", "f": "r + 12", "q": 17}, "premises": {"q": 17}, "target": "b"}, "answer": {"steps": [["a", "o + 15", "o + 27"], ["o", "z + 12", "z + 39"], ["z", "d + 12", "d + 51"], ["d", "v + 7", "v + 58"], ["v", "q + 5", "q + 63"], ["q", 17, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"q": 17}, "is_reverse": true}} | 14,979 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = 17; b = a + 12; o = z + 12; x = u + 7; z = d + 12; j = x + 12; f = r + 12; a = o + 15; v = q + 5; d = v + 7; r = w + 11; w = j + 16; u = q + 12. Given that q = 17, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 15 to b, which gives b = o + 27.\n2. Substitute o = z + 12 to b, which gives b = z + 39.\n3. Substitute z = d + 12 to b, which gives b = d + 51.\n4. Substitute d = v + 7 to b, which gives b = v + 58.\n5. Substitute v = q + 5 to b, which gives b = q + 63.\n6. Substitute q = 17 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 14979,
"question": "Suppose a collection of variables is related by the following definitions: q = 17; b = a + 12; o = z + 12; x = u + 7; z = d + 12; j = x + 12; f = r + 12; a = o + 15; v = q + 5; d = v + 7; r = w + 11; w = j + 16; u = q + 12. Given that q = 17, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 10", "e": "k + 3", "h": "e + 7", "z": "h + 16", "s": "z + 10", "v": "s + 3", "t": "g + 5", "m": "t + 10", "n": "m + 14", "p": "n + 1", "x": "p + 9", "d": "x + 14", "g": 7}, "premises": {"g": 7}, "target": "v"}, "answer": {"steps": [["s", "z + 10", "z + 13"], ["z", "h + 16", "h + 29"], ["h", "e + 7", "e + 36"], ["e", "k + 3", "k + 39"], ["k", "g + 10", "g + 49"], ["g", 7, "56"]], "target_var_name": "v", "target_value": 56, "value_dict": {"g": 7}, "is_reverse": true}} | 14,980 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 10; n = m + 14; t = g + 5; v = s + 3; z = h + 16; h = e + 7; s = z + 10; p = n + 1; e = k + 3; m = t + 10; d = x + 14; g = 7; x = p + 9. If g = 7, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 10 to v, which gives v = z + 13.\n2. Substitute z = h + 16 to v, which gives v = h + 29.\n3. Substitute h = e + 7 to v, which gives v = e + 36.\n4. Substitute e = k + 3 to v, which gives v = k + 39.\n5. Substitute k = g + 10 to v, which gives v = g + 49.\n6. Substitute g = 7 to v, which gives v = 56.\n\nThus, the final answer is v = \\boxed{56}.",
"index": 14980,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 10; n = m + 14; t = g + 5; v = s + 3; z = h + 16; h = e + 7; s = z + 10; p = n + 1; e = k + 3; m = t + 10; d = x + 14; g = 7; x = p + 9. If g = 7, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 13", "h": "y + 18", "e": "h + 7", "o": "e + 20", "u": "o + 4", "w": "u + 12", "n": "m + 2", "d": "n + 18", "k": "d + 19", "q": "k + 2", "v": "q + 14", "j": "v + 4", "m": 6}, "premises": {"m": 6}, "target": "w"}, "answer": {"steps": [["u", "o + 4", "o + 16"], ["o", "e + 20", "e + 36"], ["e", "h + 7", "h + 43"], ["h", "y + 18", "y + 61"], ["y", "m + 13", "m + 74"], ["m", 6, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"m": 6}, "is_reverse": true}} | 14,981 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = u + 12; h = y + 18; q = k + 2; j = v + 4; e = h + 7; k = d + 19; d = n + 18; u = o + 4; y = m + 13; v = q + 14; m = 6; n = m + 2; o = e + 20. If m = 6, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 4 to w, which gives w = o + 16.\n2. Substitute o = e + 20 to w, which gives w = e + 36.\n3. Substitute e = h + 7 to w, which gives w = h + 43.\n4. Substitute h = y + 18 to w, which gives w = y + 61.\n5. Substitute y = m + 13 to w, which gives w = m + 74.\n6. Substitute m = 6 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 14981,
"question": "Consider a system of variables where each variable is defined as follows: w = u + 12; h = y + 18; q = k + 2; j = v + 4; e = h + 7; k = d + 19; d = n + 18; u = o + 4; y = m + 13; v = q + 14; m = 6; n = m + 2; o = e + 20. If m = 6, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 7", "t": "e + 15", "j": "t + 1", "v": "j + 18", "k": "v + 1", "r": "k + 13", "x": "u + 7", "y": "x + 12", "a": "y + 17", "z": "a + 10", "m": "z + 9", "n": "m + 10", "u": 20}, "premises": {"u": 20}, "target": "r"}, "answer": {"steps": [["k", "v + 1", "v + 14"], ["v", "j + 18", "j + 32"], ["j", "t + 1", "t + 33"], ["t", "e + 15", "e + 48"], ["e", "u + 7", "u + 55"], ["u", 20, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"u": 20}, "is_reverse": true}} | 14,982 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = z + 9; u = 20; r = k + 13; z = a + 10; v = j + 18; j = t + 1; y = x + 12; n = m + 10; k = v + 1; t = e + 15; a = y + 17; x = u + 7; e = u + 7. If u = 20, what is the resulting value of r?",
"role": "use... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 1 to r, which gives r = v + 14.\n2. Substitute v = j + 18 to r, which gives r = j + 32.\n3. Substitute j = t + 1 to r, which gives r = t + 33.\n4. Substitute t = e + 15 to r, which gives r = e + 48.\n5. Substitute e = u + 7 to r, which gives r = u + 55.\n6. Substitute u = 20 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 14982,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = z + 9; u = 20; r = k + 13; z = a + 10; v = j + 18; j = t + 1; y = x + 12; n = m + 10; k = v + 1; t = e + 15; a = y + 17; x = u + 7; e = u + 7. If u = 20, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 14", "w": "n + 17", "o": "w + 1", "h": "o + 8", "t": "h + 17", "x": "t + 14", "l": "b + 13", "e": "l + 11", "q": "e + 8", "p": "q + 5", "f": "p + 13", "j": "f + 17", "b": 11}, "premises": {"b": 11}, "target": "x"}, "answer": {"steps": [["t", "h + 17", "h + 31"], ["h", "o + 8", "o + 39"], ["o", "w + 1", "w + 40"], ["w", "n + 17", "n + 57"], ["n", "b + 14", "b + 71"], ["b", 11, "82"]], "target_var_name": "x", "target_value": 82, "value_dict": {"b": 11}, "is_reverse": true}} | 14,983 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = p + 13; b = 11; j = f + 17; t = h + 17; h = o + 8; x = t + 14; e = l + 11; l = b + 13; p = q + 5; w = n + 17; n = b + 14; q = e + 8; o = w + 1. Given that b = 11, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 17 to x, which gives x = h + 31.\n2. Substitute h = o + 8 to x, which gives x = o + 39.\n3. Substitute o = w + 1 to x, which gives x = w + 40.\n4. Substitute w = n + 17 to x, which gives x = n + 57.\n5. Substitute n = b + 14 to x, which gives x = b + 71.\n6. Substitute b = 11 to x, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 14983,
"question": "Suppose a collection of variables is related by the following definitions: f = p + 13; b = 11; j = f + 17; t = h + 17; h = o + 8; x = t + 14; e = l + 11; l = b + 13; p = q + 5; w = n + 17; n = b + 14; q = e + 8; o = w + 1. Given that b = 11, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 9", "f": "e + 13", "v": "f + 15", "o": "v + 8", "c": "o + 4", "k": "c + 5", "m": "i + 17", "d": "m + 11", "l": "d + 6", "w": "l + 18", "x": "w + 4", "y": "x + 3", "i": 7}, "premises": {"i": 7}, "target": "k"}, "answer": {"steps": [["c", "o + 4", "o + 9"], ["o", "v + 8", "v + 17"], ["v", "f + 15", "f + 32"], ["f", "e + 13", "e + 45"], ["e", "i + 9", "i + 54"], ["i", 7, "61"]], "target_var_name": "k", "target_value": 61, "value_dict": {"i": 7}, "is_reverse": true}} | 14,984 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = i + 17; c = o + 4; i = 7; x = w + 4; y = x + 3; l = d + 6; o = v + 8; d = m + 11; k = c + 5; f = e + 13; v = f + 15; w = l + 18; e = i + 9. If i = 7, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 4 to k, which gives k = o + 9.\n2. Substitute o = v + 8 to k, which gives k = v + 17.\n3. Substitute v = f + 15 to k, which gives k = f + 32.\n4. Substitute f = e + 13 to k, which gives k = e + 45.\n5. Substitute e = i + 9 to k, which gives k = i + 54.\n6. Substitute i = 7 to k, which gives k = 61.\n\nThus, the final answer is k = \\boxed{61}.",
"index": 14984,
"question": "Consider a system of variables where each variable is defined as follows: m = i + 17; c = o + 4; i = 7; x = w + 4; y = x + 3; l = d + 6; o = v + 8; d = m + 11; k = c + 5; f = e + 13; v = f + 15; w = l + 18; e = i + 9. If i = 7, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 17", "f": "o + 10", "n": "f + 16", "c": "n + 18", "h": "c + 8", "s": "h + 2", "w": "m + 19", "j": "w + 19", "z": "j + 15", "b": "z + 17", "q": "b + 11", "u": "q + 5", "m": 18}, "premises": {"m": 18}, "target": "s"}, "answer": {"steps": [["h", "c + 8", "c + 10"], ["c", "n + 18", "n + 28"], ["n", "f + 16", "f + 44"], ["f", "o + 10", "o + 54"], ["o", "m + 17", "m + 71"], ["m", 18, "89"]], "target_var_name": "s", "target_value": 89, "value_dict": {"m": 18}, "is_reverse": true}} | 14,985 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = w + 19; b = z + 17; m = 18; n = f + 16; z = j + 15; q = b + 11; w = m + 19; h = c + 8; o = m + 17; c = n + 18; s = h + 2; u = q + 5; f = o + 10. Given that m = 18, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 8 to s, which gives s = c + 10.\n2. Substitute c = n + 18 to s, which gives s = n + 28.\n3. Substitute n = f + 16 to s, which gives s = f + 44.\n4. Substitute f = o + 10 to s, which gives s = o + 54.\n5. Substitute o = m + 17 to s, which gives s = m + 71.\n6. Substitute m = 18 to s, which gives s = 89.\n\nThus, the final answer is s = \\boxed{89}.",
"index": 14985,
"question": "Suppose a collection of variables is related by the following definitions: j = w + 19; b = z + 17; m = 18; n = f + 16; z = j + 15; q = b + 11; w = m + 19; h = c + 8; o = m + 17; c = n + 18; s = h + 2; u = q + 5; f = o + 10. Given that m = 18, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 2", "b": "l + 15", "f": "b + 3", "p": "f + 20", "v": "p + 11", "h": "v + 7", "c": "q + 5", "w": "c + 8", "e": "w + 13", "i": "e + 6", "k": "i + 3", "x": "k + 1", "q": 6}, "premises": {"q": 6}, "target": "h"}, "answer": {"steps": [["v", "p + 11", "p + 18"], ["p", "f + 20", "f + 38"], ["f", "b + 3", "b + 41"], ["b", "l + 15", "l + 56"], ["l", "q + 2", "q + 58"], ["q", 6, "64"]], "target_var_name": "h", "target_value": 64, "value_dict": {"q": 6}, "is_reverse": true}} | 14,986 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 7; k = i + 3; l = q + 2; v = p + 11; w = c + 8; c = q + 5; b = l + 15; i = e + 6; x = k + 1; p = f + 20; f = b + 3; e = w + 13; q = 6. If q = 6, what is the resulting value of h?",
"role": "user"
... | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 11 to h, which gives h = p + 18.\n2. Substitute p = f + 20 to h, which gives h = f + 38.\n3. Substitute f = b + 3 to h, which gives h = b + 41.\n4. Substitute b = l + 15 to h, which gives h = l + 56.\n5. Substitute l = q + 2 to h, which gives h = q + 58.\n6. Substitute q = 6 to h, which gives h = 64.\n\nThus, the final answer is h = \\boxed{64}.",
"index": 14986,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 7; k = i + 3; l = q + 2; v = p + 11; w = c + 8; c = q + 5; b = l + 15; i = e + 6; x = k + 1; p = f + 20; f = b + 3; e = w + 13; q = 6. If q = 6, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"v": "u + 5", "c": "v + 19", "b": "c + 14", "q": "b + 6", "k": "q + 6", "h": "k + 5", "p": "u + 14", "l": "p + 6", "d": "l + 13", "s": "d + 1", "i": "s + 19", "y": "i + 4", "u": 2}, "premises": {"u": 2}, "target": "h"}, "answer": {"steps": [["k", "q + 6", "q + 11"], ["q", "b + 6", "b + 17"], ["b", "c + 14", "c + 31"], ["c", "v + 19", "v + 50"], ["v", "u + 5", "u + 55"], ["u", 2, "57"]], "target_var_name": "h", "target_value": 57, "value_dict": {"u": 2}, "is_reverse": true}} | 14,987 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = l + 13; q = b + 6; k = q + 6; s = d + 1; y = i + 4; v = u + 5; l = p + 6; i = s + 19; p = u + 14; c = v + 19; h = k + 5; b = c + 14; u = 2. If u = 2, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 6 to h, which gives h = q + 11.\n2. Substitute q = b + 6 to h, which gives h = b + 17.\n3. Substitute b = c + 14 to h, which gives h = c + 31.\n4. Substitute c = v + 19 to h, which gives h = v + 50.\n5. Substitute v = u + 5 to h, which gives h = u + 55.\n6. Substitute u = 2 to h, which gives h = 57.\n\nThus, the final answer is h = \\boxed{57}.",
"index": 14987,
"question": "Consider a system of variables where each variable is defined as follows: d = l + 13; q = b + 6; k = q + 6; s = d + 1; y = i + 4; v = u + 5; l = p + 6; i = s + 19; p = u + 14; c = v + 19; h = k + 5; b = c + 14; u = 2. If u = 2, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 18", "h": "r + 9", "s": "h + 8", "t": "s + 17", "w": "t + 12", "f": "w + 18", "n": "o + 7", "c": "n + 11", "q": "c + 16", "k": "q + 5", "d": "k + 6", "y": "d + 2", "o": 10}, "premises": {"o": 10}, "target": "f"}, "answer": {"steps": [["w", "t + 12", "t + 30"], ["t", "s + 17", "s + 47"], ["s", "h + 8", "h + 55"], ["h", "r + 9", "r + 64"], ["r", "o + 18", "o + 82"], ["o", 10, "92"]], "target_var_name": "f", "target_value": 92, "value_dict": {"o": 10}, "is_reverse": true}} | 14,988 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = o + 18; k = q + 5; s = h + 8; w = t + 12; o = 10; f = w + 18; c = n + 11; t = s + 17; d = k + 6; q = c + 16; y = d + 2; n = o + 7; h = r + 9. If o = 10, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 12 to f, which gives f = t + 30.\n2. Substitute t = s + 17 to f, which gives f = s + 47.\n3. Substitute s = h + 8 to f, which gives f = h + 55.\n4. Substitute h = r + 9 to f, which gives f = r + 64.\n5. Substitute r = o + 18 to f, which gives f = o + 82.\n6. Substitute o = 10 to f, which gives f = 92.\n\nThus, the final answer is f = \\boxed{92}.",
"index": 14988,
"question": "Consider a system of variables where each variable is defined as follows: r = o + 18; k = q + 5; s = h + 8; w = t + 12; o = 10; f = w + 18; c = n + 11; t = s + 17; d = k + 6; q = c + 16; y = d + 2; n = o + 7; h = r + 9. If o = 10, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"k": "i + 3", "e": "k + 4", "c": "e + 5", "g": "c + 13", "t": "g + 5", "b": "t + 18", "r": "i + 13", "p": "r + 16", "d": "p + 19", "u": "d + 19", "n": "u + 7", "w": "n + 2", "i": 1}, "premises": {"i": 1}, "target": "b"}, "answer": {"steps": [["t", "g + 5", "g + 23"], ["g", "c + 13", "c + 36"], ["c", "e + 5", "e + 41"], ["e", "k + 4", "k + 45"], ["k", "i + 3", "i + 48"], ["i", 1, "49"]], "target_var_name": "b", "target_value": 49, "value_dict": {"i": 1}, "is_reverse": true}} | 14,989 | 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 = i + 3; b = t + 18; w = n + 2; d = p + 19; u = d + 19; p = r + 16; n = u + 7; e = k + 4; t = g + 5; r = i + 13; g = c + 13; i = 1; c = e + 5. If i = 1, what is the resulting value of b?",
"role": "user"
... | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 5 to b, which gives b = g + 23.\n2. Substitute g = c + 13 to b, which gives b = c + 36.\n3. Substitute c = e + 5 to b, which gives b = e + 41.\n4. Substitute e = k + 4 to b, which gives b = k + 45.\n5. Substitute k = i + 3 to b, which gives b = i + 48.\n6. Substitute i = 1 to b, which gives b = 49.\n\nThus, the final answer is b = \\boxed{49}.",
"index": 14989,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = i + 3; b = t + 18; w = n + 2; d = p + 19; u = d + 19; p = r + 16; n = u + 7; e = k + 4; t = g + 5; r = i + 13; g = c + 13; i = 1; c = e + 5. If i = 1, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 8", "n": "z + 13", "e": "n + 13", "q": "e + 6", "l": "q + 5", "f": "l + 7", "t": "u + 18", "k": "t + 6", "i": "k + 11", "p": "i + 12", "b": "p + 20", "h": "b + 12", "u": 13}, "premises": {"u": 13}, "target": "f"}, "answer": {"steps": [["l", "q + 5", "q + 12"], ["q", "e + 6", "e + 18"], ["e", "n + 13", "n + 31"], ["n", "z + 13", "z + 44"], ["z", "u + 8", "u + 52"], ["u", 13, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"u": 13}, "is_reverse": true}} | 14,990 | 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 = 13; n = z + 13; p = i + 12; l = q + 5; h = b + 12; k = t + 6; i = k + 11; b = p + 20; z = u + 8; f = l + 7; e = n + 13; t = u + 18; q = e + 6. If u = 13, what is the resulting value of f?",
"role": "use... | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 5 to f, which gives f = q + 12.\n2. Substitute q = e + 6 to f, which gives f = e + 18.\n3. Substitute e = n + 13 to f, which gives f = n + 31.\n4. Substitute n = z + 13 to f, which gives f = z + 44.\n5. Substitute z = u + 8 to f, which gives f = u + 52.\n6. Substitute u = 13 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 14990,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 13; n = z + 13; p = i + 12; l = q + 5; h = b + 12; k = t + 6; i = k + 11; b = p + 20; z = u + 8; f = l + 7; e = n + 13; t = u + 18; q = e + 6. If u = 13, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"k": "i + 1", "w": "k + 9", "a": "w + 15", "n": "a + 6", "t": "n + 17", "c": "t + 14", "f": "i + 14", "y": "f + 11", "r": "y + 20", "h": "r + 4", "u": "h + 11", "g": "u + 3", "i": 11}, "premises": {"i": 11}, "target": "c"}, "answer": {"steps": [["t", "n + 17", "n + 31"], ["n", "a + 6", "a + 37"], ["a", "w + 15", "w + 52"], ["w", "k + 9", "k + 61"], ["k", "i + 1", "i + 62"], ["i", 11, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"i": 11}, "is_reverse": true}} | 14,991 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = h + 11; f = i + 14; w = k + 9; i = 11; r = y + 20; a = w + 15; y = f + 11; n = a + 6; c = t + 14; h = r + 4; k = i + 1; t = n + 17; g = u + 3. Given that i = 11, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 17 to c, which gives c = n + 31.\n2. Substitute n = a + 6 to c, which gives c = a + 37.\n3. Substitute a = w + 15 to c, which gives c = w + 52.\n4. Substitute w = k + 9 to c, which gives c = k + 61.\n5. Substitute k = i + 1 to c, which gives c = i + 62.\n6. Substitute i = 11 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 14991,
"question": "Suppose a collection of variables is related by the following definitions: u = h + 11; f = i + 14; w = k + 9; i = 11; r = y + 20; a = w + 15; y = f + 11; n = a + 6; c = t + 14; h = r + 4; k = i + 1; t = n + 17; g = u + 3. Given that i = 11, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"w": "r + 14", "z": "w + 15", "x": "z + 9", "l": "x + 2", "q": "l + 19", "e": "q + 18", "a": "r + 17", "n": "a + 12", "d": "n + 18", "t": "d + 14", "u": "t + 5", "p": "u + 7", "r": 10}, "premises": {"r": 10}, "target": "e"}, "answer": {"steps": [["q", "l + 19", "l + 37"], ["l", "x + 2", "x + 39"], ["x", "z + 9", "z + 48"], ["z", "w + 15", "w + 63"], ["w", "r + 14", "r + 77"], ["r", 10, "87"]], "target_var_name": "e", "target_value": 87, "value_dict": {"r": 10}, "is_reverse": true}} | 14,992 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = r + 14; r = 10; n = a + 12; a = r + 17; z = w + 15; e = q + 18; d = n + 18; t = d + 14; u = t + 5; p = u + 7; q = l + 19; l = x + 2; x = z + 9. If r = 10, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 19 to e, which gives e = l + 37.\n2. Substitute l = x + 2 to e, which gives e = x + 39.\n3. Substitute x = z + 9 to e, which gives e = z + 48.\n4. Substitute z = w + 15 to e, which gives e = w + 63.\n5. Substitute w = r + 14 to e, which gives e = r + 77.\n6. Substitute r = 10 to e, which gives e = 87.\n\nThus, the final answer is e = \\boxed{87}.",
"index": 14992,
"question": "Consider a system of variables where each variable is defined as follows: w = r + 14; r = 10; n = a + 12; a = r + 17; z = w + 15; e = q + 18; d = n + 18; t = d + 14; u = t + 5; p = u + 7; q = l + 19; l = x + 2; x = z + 9. If r = 10, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"o": "k + 6", "t": "o + 1", "r": "t + 12", "j": "r + 15", "x": "j + 11", "u": "x + 3", "i": "k + 15", "s": "i + 20", "m": "s + 16", "b": "m + 10", "h": "b + 18", "p": "h + 12", "k": 17}, "premises": {"k": 17}, "target": "u"}, "answer": {"steps": [["x", "j + 11", "j + 14"], ["j", "r + 15", "r + 29"], ["r", "t + 12", "t + 41"], ["t", "o + 1", "o + 42"], ["o", "k + 6", "k + 48"], ["k", 17, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"k": 17}, "is_reverse": true}} | 14,993 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = b + 18; x = j + 11; b = m + 10; j = r + 15; i = k + 15; r = t + 12; o = k + 6; t = o + 1; u = x + 3; p = h + 12; s = i + 20; k = 17; m = s + 16. If k = 17, 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 x = j + 11 to u, which gives u = j + 14.\n2. Substitute j = r + 15 to u, which gives u = r + 29.\n3. Substitute r = t + 12 to u, which gives u = t + 41.\n4. Substitute t = o + 1 to u, which gives u = o + 42.\n5. Substitute o = k + 6 to u, which gives u = k + 48.\n6. Substitute k = 17 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 14993,
"question": "Consider a system of variables where each variable is defined as follows: h = b + 18; x = j + 11; b = m + 10; j = r + 15; i = k + 15; r = t + 12; o = k + 6; t = o + 1; u = x + 3; p = h + 12; s = i + 20; k = 17; m = s + 16. If k = 17, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 10", "e": "w + 8", "x": "e + 14", "k": "x + 5", "t": "k + 17", "o": "t + 16", "d": "i + 15", "r": "d + 3", "g": "r + 17", "m": "g + 16", "j": "m + 7", "y": "j + 17", "i": 12}, "premises": {"i": 12}, "target": "o"}, "answer": {"steps": [["t", "k + 17", "k + 33"], ["k", "x + 5", "x + 38"], ["x", "e + 14", "e + 52"], ["e", "w + 8", "w + 60"], ["w", "i + 10", "i + 70"], ["i", 12, "82"]], "target_var_name": "o", "target_value": 82, "value_dict": {"i": 12}, "is_reverse": true}} | 14,994 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = g + 16; w = i + 10; k = x + 5; g = r + 17; x = e + 14; e = w + 8; t = k + 17; d = i + 15; i = 12; r = d + 3; y = j + 17; o = t + 16; j = m + 7. If i = 12, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 17 to o, which gives o = k + 33.\n2. Substitute k = x + 5 to o, which gives o = x + 38.\n3. Substitute x = e + 14 to o, which gives o = e + 52.\n4. Substitute e = w + 8 to o, which gives o = w + 60.\n5. Substitute w = i + 10 to o, which gives o = i + 70.\n6. Substitute i = 12 to o, which gives o = 82.\n\nThus, the final answer is o = \\boxed{82}.",
"index": 14994,
"question": "Consider a system of variables where each variable is defined as follows: m = g + 16; w = i + 10; k = x + 5; g = r + 17; x = e + 14; e = w + 8; t = k + 17; d = i + 15; i = 12; r = d + 3; y = j + 17; o = t + 16; j = m + 7. If i = 12, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 11", "u": "v + 19", "j": "u + 18", "f": "j + 18", "w": "f + 12", "q": "w + 16", "d": "k + 19", "r": "d + 2", "h": "r + 4", "a": "h + 3", "g": "a + 13", "i": "g + 8", "k": 16}, "premises": {"k": 16}, "target": "q"}, "answer": {"steps": [["w", "f + 12", "f + 28"], ["f", "j + 18", "j + 46"], ["j", "u + 18", "u + 64"], ["u", "v + 19", "v + 83"], ["v", "k + 11", "k + 94"], ["k", 16, "110"]], "target_var_name": "q", "target_value": 110, "value_dict": {"k": 16}, "is_reverse": true}} | 14,995 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 16; g = a + 13; k = 16; u = v + 19; i = g + 8; f = j + 18; r = d + 2; h = r + 4; d = k + 19; v = k + 11; w = f + 12; a = h + 3; j = u + 18. If k = 16, what is the resulting value of q?",
"role": "us... | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 12 to q, which gives q = f + 28.\n2. Substitute f = j + 18 to q, which gives q = j + 46.\n3. Substitute j = u + 18 to q, which gives q = u + 64.\n4. Substitute u = v + 19 to q, which gives q = v + 83.\n5. Substitute v = k + 11 to q, which gives q = k + 94.\n6. Substitute k = 16 to q, which gives q = 110.\n\nThus, the final answer is q = \\boxed{110}.",
"index": 14995,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 16; g = a + 13; k = 16; u = v + 19; i = g + 8; f = j + 18; r = d + 2; h = r + 4; d = k + 19; v = k + 11; w = f + 12; a = h + 3; j = u + 18. If k = 16, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 9", "s": "h + 11", "i": "s + 18", "u": "i + 1", "b": "u + 17", "g": "b + 12", "e": "p + 4", "m": "e + 12", "k": "m + 20", "z": "k + 9", "a": "z + 9", "y": "a + 11", "p": 17}, "premises": {"p": 17}, "target": "g"}, "answer": {"steps": [["b", "u + 17", "u + 29"], ["u", "i + 1", "i + 30"], ["i", "s + 18", "s + 48"], ["s", "h + 11", "h + 59"], ["h", "p + 9", "p + 68"], ["p", 17, "85"]], "target_var_name": "g", "target_value": 85, "value_dict": {"p": 17}, "is_reverse": true}} | 14,996 | 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 = i + 1; s = h + 11; z = k + 9; y = a + 11; k = m + 20; h = p + 9; b = u + 17; p = 17; e = p + 4; g = b + 12; i = s + 18; a = z + 9; m = e + 12. If p = 17, what is the resulting value of g?",
"role": "use... | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 17 to g, which gives g = u + 29.\n2. Substitute u = i + 1 to g, which gives g = i + 30.\n3. Substitute i = s + 18 to g, which gives g = s + 48.\n4. Substitute s = h + 11 to g, which gives g = h + 59.\n5. Substitute h = p + 9 to g, which gives g = p + 68.\n6. Substitute p = 17 to g, which gives g = 85.\n\nThus, the final answer is g = \\boxed{85}.",
"index": 14996,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = i + 1; s = h + 11; z = k + 9; y = a + 11; k = m + 20; h = p + 9; b = u + 17; p = 17; e = p + 4; g = b + 12; i = s + 18; a = z + 9; m = e + 12. If p = 17, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 16", "c": "t + 8", "q": "c + 6", "l": "q + 12", "z": "l + 14", "k": "z + 1", "e": "v + 16", "o": "e + 7", "g": "o + 7", "n": "g + 8", "s": "n + 11", "y": "s + 1", "v": 20}, "premises": {"v": 20}, "target": "k"}, "answer": {"steps": [["z", "l + 14", "l + 15"], ["l", "q + 12", "q + 27"], ["q", "c + 6", "c + 33"], ["c", "t + 8", "t + 41"], ["t", "v + 16", "v + 57"], ["v", 20, "77"]], "target_var_name": "k", "target_value": 77, "value_dict": {"v": 20}, "is_reverse": true}} | 14,997 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = t + 8; l = q + 12; s = n + 11; k = z + 1; z = l + 14; e = v + 16; g = o + 7; y = s + 1; n = g + 8; q = c + 6; o = e + 7; v = 20; t = v + 16. Given that v = 20, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 14 to k, which gives k = l + 15.\n2. Substitute l = q + 12 to k, which gives k = q + 27.\n3. Substitute q = c + 6 to k, which gives k = c + 33.\n4. Substitute c = t + 8 to k, which gives k = t + 41.\n5. Substitute t = v + 16 to k, which gives k = v + 57.\n6. Substitute v = 20 to k, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 14997,
"question": "Suppose a collection of variables is related by the following definitions: c = t + 8; l = q + 12; s = n + 11; k = z + 1; z = l + 14; e = v + 16; g = o + 7; y = s + 1; n = g + 8; q = c + 6; o = e + 7; v = 20; t = v + 16. Given that v = 20, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"t": "r + 16", "v": "t + 1", "q": "v + 17", "d": "q + 4", "f": "d + 19", "y": "f + 4", "w": "r + 2", "m": "w + 4", "a": "m + 10", "s": "a + 1", "g": "s + 1", "c": "g + 19", "r": 5}, "premises": {"r": 5}, "target": "y"}, "answer": {"steps": [["f", "d + 19", "d + 23"], ["d", "q + 4", "q + 27"], ["q", "v + 17", "v + 44"], ["v", "t + 1", "t + 45"], ["t", "r + 16", "r + 61"], ["r", 5, "66"]], "target_var_name": "y", "target_value": 66, "value_dict": {"r": 5}, "is_reverse": true}} | 14,998 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = s + 1; d = q + 4; m = w + 4; w = r + 2; f = d + 19; a = m + 10; t = r + 16; y = f + 4; s = a + 1; q = v + 17; v = t + 1; r = 5; c = g + 19. If r = 5, what is the resulting value of y?",
"role": "user"
... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 19 to y, which gives y = d + 23.\n2. Substitute d = q + 4 to y, which gives y = q + 27.\n3. Substitute q = v + 17 to y, which gives y = v + 44.\n4. Substitute v = t + 1 to y, which gives y = t + 45.\n5. Substitute t = r + 16 to y, which gives y = r + 61.\n6. Substitute r = 5 to y, which gives y = 66.\n\nThus, the final answer is y = \\boxed{66}.",
"index": 14998,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = s + 1; d = q + 4; m = w + 4; w = r + 2; f = d + 19; a = m + 10; t = r + 16; y = f + 4; s = a + 1; q = v + 17; v = t + 1; r = 5; c = g + 19. If r = 5, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 16", "c": "x + 6", "g": "c + 20", "v": "g + 19", "y": "v + 10", "d": "y + 4", "t": "n + 17", "q": "t + 17", "u": "q + 13", "f": "u + 8", "r": "f + 8", "i": "r + 5", "n": 11}, "premises": {"n": 11}, "target": "d"}, "answer": {"steps": [["y", "v + 10", "v + 14"], ["v", "g + 19", "g + 33"], ["g", "c + 20", "c + 53"], ["c", "x + 6", "x + 59"], ["x", "n + 16", "n + 75"], ["n", 11, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"n": 11}, "is_reverse": true}} | 14,999 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 4; g = c + 20; u = q + 13; f = u + 8; y = v + 10; v = g + 19; c = x + 6; q = t + 17; t = n + 17; i = r + 5; r = f + 8; n = 11; x = n + 16. Given that n = 11, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 10 to d, which gives d = v + 14.\n2. Substitute v = g + 19 to d, which gives d = g + 33.\n3. Substitute g = c + 20 to d, which gives d = c + 53.\n4. Substitute c = x + 6 to d, which gives d = x + 59.\n5. Substitute x = n + 16 to d, which gives d = n + 75.\n6. Substitute n = 11 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 14999,
"question": "Suppose a collection of variables is related by the following definitions: d = y + 4; g = c + 20; u = q + 13; f = u + 8; y = v + 10; v = g + 19; c = x + 6; q = t + 17; t = n + 17; i = r + 5; r = f + 8; n = 11; x = n + 16. Given that n = 11, find the value of d.",
"split": "train"
} |
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