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": {"x": "c + 13", "g": "x + 6", "z": "g + 9", "k": "z + 14", "a": "k + 10", "e": "a + 17", "r": "c + 12", "p": "r + 14", "j": "p + 12", "l": "j + 19", "q": "l + 13", "n": "q + 19", "c": 9}, "premises": {"c": 9}, "target": "e"}, "answer": {"steps": [["a", "k + 10", "k + 27"], ["k", "z + 14", "z + 41"], ["z", "g + 9", "g + 50"], ["g", "x + 6", "x + 56"], ["x", "c + 13", "c + 69"], ["c", 9, "78"]], "target_var_name": "e", "target_value": 78, "value_dict": {"c": 9}, "is_reverse": true}} | 15,900 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = q + 19; r = c + 12; e = a + 17; p = r + 14; l = j + 19; j = p + 12; x = c + 13; k = z + 14; g = x + 6; z = g + 9; a = k + 10; q = l + 13; c = 9. Given that c = 9, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 10 to e, which gives e = k + 27.\n2. Substitute k = z + 14 to e, which gives e = z + 41.\n3. Substitute z = g + 9 to e, which gives e = g + 50.\n4. Substitute g = x + 6 to e, which gives e = x + 56.\n5. Substitute x = c + 13 to e, which gives e = c + 69.\n6. Substitute c = 9 to e, which gives e = 78.\n\nThus, the final answer is e = \\boxed{78}.",
"index": 15900,
"question": "Suppose a collection of variables is related by the following definitions: n = q + 19; r = c + 12; e = a + 17; p = r + 14; l = j + 19; j = p + 12; x = c + 13; k = z + 14; g = x + 6; z = g + 9; a = k + 10; q = l + 13; c = 9. Given that c = 9, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 3", "z": "w + 6", "u": "z + 8", "o": "u + 19", "g": "o + 11", "y": "g + 4", "x": "i + 3", "q": "x + 14", "a": "q + 14", "h": "a + 3", "j": "h + 6", "p": "j + 9", "i": 15}, "premises": {"i": 15}, "target": "y"}, "answer": {"steps": [["g", "o + 11", "o + 15"], ["o", "u + 19", "u + 34"], ["u", "z + 8", "z + 42"], ["z", "w + 6", "w + 48"], ["w", "i + 3", "i + 51"], ["i", 15, "66"]], "target_var_name": "y", "target_value": 66, "value_dict": {"i": 15}, "is_reverse": true}} | 15,901 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = g + 4; x = i + 3; w = i + 3; q = x + 14; z = w + 6; j = h + 6; p = j + 9; h = a + 3; i = 15; o = u + 19; u = z + 8; a = q + 14; g = o + 11. If i = 15, determine the 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 g = o + 11 to y, which gives y = o + 15.\n2. Substitute o = u + 19 to y, which gives y = u + 34.\n3. Substitute u = z + 8 to y, which gives y = z + 42.\n4. Substitute z = w + 6 to y, which gives y = w + 48.\n5. Substitute w = i + 3 to y, which gives y = i + 51.\n6. Substitute i = 15 to y, which gives y = 66.\n\nThus, the final answer is y = \\boxed{66}.",
"index": 15901,
"question": "Consider a system of variables where each variable is defined as follows: y = g + 4; x = i + 3; w = i + 3; q = x + 14; z = w + 6; j = h + 6; p = j + 9; h = a + 3; i = 15; o = u + 19; u = z + 8; a = q + 14; g = o + 11. If i = 15, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 6", "n": "z + 20", "l": "n + 9", "s": "l + 17", "c": "s + 1", "o": "c + 15", "u": "w + 11", "b": "u + 5", "p": "b + 12", "a": "p + 19", "y": "a + 11", "e": "y + 14", "w": 7}, "premises": {"w": 7}, "target": "o"}, "answer": {"steps": [["c", "s + 1", "s + 16"], ["s", "l + 17", "l + 33"], ["l", "n + 9", "n + 42"], ["n", "z + 20", "z + 62"], ["z", "w + 6", "w + 68"], ["w", 7, "75"]], "target_var_name": "o", "target_value": 75, "value_dict": {"w": 7}, "is_reverse": true}} | 15,902 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 15; u = w + 11; n = z + 20; b = u + 5; c = s + 1; l = n + 9; p = b + 12; s = l + 17; z = w + 6; y = a + 11; w = 7; a = p + 19; e = y + 14. If w = 7, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 1 to o, which gives o = s + 16.\n2. Substitute s = l + 17 to o, which gives o = l + 33.\n3. Substitute l = n + 9 to o, which gives o = n + 42.\n4. Substitute n = z + 20 to o, which gives o = z + 62.\n5. Substitute z = w + 6 to o, which gives o = w + 68.\n6. Substitute w = 7 to o, which gives o = 75.\n\nThus, the final answer is o = \\boxed{75}.",
"index": 15902,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 15; u = w + 11; n = z + 20; b = u + 5; c = s + 1; l = n + 9; p = b + 12; s = l + 17; z = w + 6; y = a + 11; w = 7; a = p + 19; e = y + 14. If w = 7, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 16", "l": "w + 14", "h": "l + 12", "b": "h + 16", "i": "b + 6", "m": "i + 10", "z": "s + 20", "t": "z + 6", "c": "t + 15", "p": "c + 11", "g": "p + 13", "q": "g + 4", "s": 3}, "premises": {"s": 3}, "target": "m"}, "answer": {"steps": [["i", "b + 6", "b + 16"], ["b", "h + 16", "h + 32"], ["h", "l + 12", "l + 44"], ["l", "w + 14", "w + 58"], ["w", "s + 16", "s + 74"], ["s", 3, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"s": 3}, "is_reverse": true}} | 15,903 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = s + 16; g = p + 13; l = w + 14; i = b + 6; z = s + 20; m = i + 10; c = t + 15; p = c + 11; s = 3; q = g + 4; h = l + 12; t = z + 6; b = h + 16. If s = 3, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 6 to m, which gives m = b + 16.\n2. Substitute b = h + 16 to m, which gives m = h + 32.\n3. Substitute h = l + 12 to m, which gives m = l + 44.\n4. Substitute l = w + 14 to m, which gives m = w + 58.\n5. Substitute w = s + 16 to m, which gives m = s + 74.\n6. Substitute s = 3 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 15903,
"question": "Consider a system of variables where each variable is defined as follows: w = s + 16; g = p + 13; l = w + 14; i = b + 6; z = s + 20; m = i + 10; c = t + 15; p = c + 11; s = 3; q = g + 4; h = l + 12; t = z + 6; b = h + 16. If s = 3, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 12", "k": "g + 14", "j": "k + 19", "n": "j + 3", "t": "n + 18", "y": "t + 15", "o": "x + 16", "m": "o + 3", "h": "m + 15", "f": "h + 5", "b": "f + 1", "p": "b + 16", "x": 7}, "premises": {"x": 7}, "target": "y"}, "answer": {"steps": [["t", "n + 18", "n + 33"], ["n", "j + 3", "j + 36"], ["j", "k + 19", "k + 55"], ["k", "g + 14", "g + 69"], ["g", "x + 12", "x + 81"], ["x", 7, "88"]], "target_var_name": "y", "target_value": 88, "value_dict": {"x": 7}, "is_reverse": true}} | 15,904 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = j + 3; k = g + 14; p = b + 16; j = k + 19; h = m + 15; b = f + 1; y = t + 15; o = x + 16; m = o + 3; f = h + 5; x = 7; t = n + 18; g = x + 12. Given that x = 7, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 18 to y, which gives y = n + 33.\n2. Substitute n = j + 3 to y, which gives y = j + 36.\n3. Substitute j = k + 19 to y, which gives y = k + 55.\n4. Substitute k = g + 14 to y, which gives y = g + 69.\n5. Substitute g = x + 12 to y, which gives y = x + 81.\n6. Substitute x = 7 to y, which gives y = 88.\n\nThus, the final answer is y = \\boxed{88}.",
"index": 15904,
"question": "Suppose a collection of variables is related by the following definitions: n = j + 3; k = g + 14; p = b + 16; j = k + 19; h = m + 15; b = f + 1; y = t + 15; o = x + 16; m = o + 3; f = h + 5; x = 7; t = n + 18; g = x + 12. Given that x = 7, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 14", "r": "v + 17", "u": "r + 13", "x": "u + 16", "b": "x + 16", "z": "b + 5", "e": "t + 5", "j": "e + 17", "w": "j + 20", "i": "w + 13", "p": "i + 20", "s": "p + 6", "t": 10}, "premises": {"t": 10}, "target": "z"}, "answer": {"steps": [["b", "x + 16", "x + 21"], ["x", "u + 16", "u + 37"], ["u", "r + 13", "r + 50"], ["r", "v + 17", "v + 67"], ["v", "t + 14", "t + 81"], ["t", 10, "91"]], "target_var_name": "z", "target_value": 91, "value_dict": {"t": 10}, "is_reverse": true}} | 15,905 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 5; w = j + 20; s = p + 6; u = r + 13; t = 10; p = i + 20; j = e + 17; i = w + 13; v = t + 14; e = t + 5; b = x + 16; x = u + 16; r = v + 17. Given that t = 10, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 16 to z, which gives z = x + 21.\n2. Substitute x = u + 16 to z, which gives z = u + 37.\n3. Substitute u = r + 13 to z, which gives z = r + 50.\n4. Substitute r = v + 17 to z, which gives z = v + 67.\n5. Substitute v = t + 14 to z, which gives z = t + 81.\n6. Substitute t = 10 to z, which gives z = 91.\n\nThus, the final answer is z = \\boxed{91}.",
"index": 15905,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 5; w = j + 20; s = p + 6; u = r + 13; t = 10; p = i + 20; j = e + 17; i = w + 13; v = t + 14; e = t + 5; b = x + 16; x = u + 16; r = v + 17. Given that t = 10, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 15", "e": "o + 15", "u": "e + 1", "c": "u + 19", "b": "c + 12", "t": "b + 16", "k": "f + 15", "l": "k + 14", "w": "l + 11", "v": "w + 18", "g": "v + 5", "n": "g + 2", "f": 17}, "premises": {"f": 17}, "target": "t"}, "answer": {"steps": [["b", "c + 12", "c + 28"], ["c", "u + 19", "u + 47"], ["u", "e + 1", "e + 48"], ["e", "o + 15", "o + 63"], ["o", "f + 15", "f + 78"], ["f", 17, "95"]], "target_var_name": "t", "target_value": 95, "value_dict": {"f": 17}, "is_reverse": true}} | 15,906 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = u + 19; f = 17; l = k + 14; t = b + 16; v = w + 18; n = g + 2; b = c + 12; w = l + 11; o = f + 15; k = f + 15; g = v + 5; e = o + 15; u = e + 1. If f = 17, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 12 to t, which gives t = c + 28.\n2. Substitute c = u + 19 to t, which gives t = u + 47.\n3. Substitute u = e + 1 to t, which gives t = e + 48.\n4. Substitute e = o + 15 to t, which gives t = o + 63.\n5. Substitute o = f + 15 to t, which gives t = f + 78.\n6. Substitute f = 17 to t, which gives t = 95.\n\nThus, the final answer is t = \\boxed{95}.",
"index": 15906,
"question": "Consider a system of variables where each variable is defined as follows: c = u + 19; f = 17; l = k + 14; t = b + 16; v = w + 18; n = g + 2; b = c + 12; w = l + 11; o = f + 15; k = f + 15; g = v + 5; e = o + 15; u = e + 1. If f = 17, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 15", "r": "f + 13", "m": "r + 11", "w": "m + 7", "q": "w + 13", "o": "q + 7", "c": "g + 12", "u": "c + 11", "i": "u + 8", "x": "i + 3", "l": "x + 1", "y": "l + 5", "g": 1}, "premises": {"g": 1}, "target": "o"}, "answer": {"steps": [["q", "w + 13", "w + 20"], ["w", "m + 7", "m + 27"], ["m", "r + 11", "r + 38"], ["r", "f + 13", "f + 51"], ["f", "g + 15", "g + 66"], ["g", 1, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"g": 1}, "is_reverse": true}} | 15,907 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = q + 7; y = l + 5; i = u + 8; q = w + 13; r = f + 13; x = i + 3; f = g + 15; w = m + 7; u = c + 11; g = 1; l = x + 1; c = g + 12; m = r + 11. If g = 1, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 13 to o, which gives o = w + 20.\n2. Substitute w = m + 7 to o, which gives o = m + 27.\n3. Substitute m = r + 11 to o, which gives o = r + 38.\n4. Substitute r = f + 13 to o, which gives o = f + 51.\n5. Substitute f = g + 15 to o, which gives o = g + 66.\n6. Substitute g = 1 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 15907,
"question": "Consider a system of variables where each variable is defined as follows: o = q + 7; y = l + 5; i = u + 8; q = w + 13; r = f + 13; x = i + 3; f = g + 15; w = m + 7; u = c + 11; g = 1; l = x + 1; c = g + 12; m = r + 11. If g = 1, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 17", "h": "x + 2", "k": "h + 16", "p": "k + 11", "l": "p + 11", "f": "l + 5", "y": "i + 17", "m": "y + 15", "e": "m + 16", "g": "e + 6", "b": "g + 7", "o": "b + 6", "i": 12}, "premises": {"i": 12}, "target": "f"}, "answer": {"steps": [["l", "p + 11", "p + 16"], ["p", "k + 11", "k + 27"], ["k", "h + 16", "h + 43"], ["h", "x + 2", "x + 45"], ["x", "i + 17", "i + 62"], ["i", 12, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"i": 12}, "is_reverse": true}} | 15,908 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = 12; b = g + 7; p = k + 11; m = y + 15; k = h + 16; y = i + 17; f = l + 5; o = b + 6; e = m + 16; l = p + 11; g = e + 6; x = i + 17; h = x + 2. Given that i = 12, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 11 to f, which gives f = p + 16.\n2. Substitute p = k + 11 to f, which gives f = k + 27.\n3. Substitute k = h + 16 to f, which gives f = h + 43.\n4. Substitute h = x + 2 to f, which gives f = x + 45.\n5. Substitute x = i + 17 to f, which gives f = i + 62.\n6. Substitute i = 12 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 15908,
"question": "Suppose a collection of variables is related by the following definitions: i = 12; b = g + 7; p = k + 11; m = y + 15; k = h + 16; y = i + 17; f = l + 5; o = b + 6; e = m + 16; l = p + 11; g = e + 6; x = i + 17; h = x + 2. Given that i = 12, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 18", "s": "t + 18", "h": "s + 15", "i": "h + 13", "z": "i + 6", "b": "z + 12", "y": "x + 11", "g": "y + 1", "e": "g + 20", "w": "e + 20", "j": "w + 12", "q": "j + 4", "x": 10}, "premises": {"x": 10}, "target": "b"}, "answer": {"steps": [["z", "i + 6", "i + 18"], ["i", "h + 13", "h + 31"], ["h", "s + 15", "s + 46"], ["s", "t + 18", "t + 64"], ["t", "x + 18", "x + 82"], ["x", 10, "92"]], "target_var_name": "b", "target_value": 92, "value_dict": {"x": 10}, "is_reverse": true}} | 15,909 | 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 = e + 20; x = 10; h = s + 15; t = x + 18; s = t + 18; e = g + 20; g = y + 1; i = h + 13; b = z + 12; z = i + 6; y = x + 11; q = j + 4; j = w + 12. If x = 10, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 6 to b, which gives b = i + 18.\n2. Substitute i = h + 13 to b, which gives b = h + 31.\n3. Substitute h = s + 15 to b, which gives b = s + 46.\n4. Substitute s = t + 18 to b, which gives b = t + 64.\n5. Substitute t = x + 18 to b, which gives b = x + 82.\n6. Substitute x = 10 to b, which gives b = 92.\n\nThus, the final answer is b = \\boxed{92}.",
"index": 15909,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = e + 20; x = 10; h = s + 15; t = x + 18; s = t + 18; e = g + 20; g = y + 1; i = h + 13; b = z + 12; z = i + 6; y = x + 11; q = j + 4; j = w + 12. If x = 10, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"u": "w + 20", "o": "u + 3", "r": "o + 14", "z": "r + 11", "g": "z + 15", "b": "g + 18", "k": "w + 10", "l": "k + 9", "q": "l + 8", "a": "q + 2", "s": "a + 11", "t": "s + 4", "w": 1}, "premises": {"w": 1}, "target": "b"}, "answer": {"steps": [["g", "z + 15", "z + 33"], ["z", "r + 11", "r + 44"], ["r", "o + 14", "o + 58"], ["o", "u + 3", "u + 61"], ["u", "w + 20", "w + 81"], ["w", 1, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"w": 1}, "is_reverse": true}} | 15,910 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 11; o = u + 3; s = a + 11; r = o + 14; u = w + 20; k = w + 10; l = k + 9; b = g + 18; a = q + 2; w = 1; g = z + 15; t = s + 4; q = l + 8. If w = 1, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 15 to b, which gives b = z + 33.\n2. Substitute z = r + 11 to b, which gives b = r + 44.\n3. Substitute r = o + 14 to b, which gives b = o + 58.\n4. Substitute o = u + 3 to b, which gives b = u + 61.\n5. Substitute u = w + 20 to b, which gives b = w + 81.\n6. Substitute w = 1 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 15910,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 11; o = u + 3; s = a + 11; r = o + 14; u = w + 20; k = w + 10; l = k + 9; b = g + 18; a = q + 2; w = 1; g = z + 15; t = s + 4; q = l + 8. If w = 1, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 19", "w": "m + 17", "p": "w + 17", "x": "p + 14", "v": "x + 3", "a": "v + 8", "s": "u + 6", "b": "s + 14", "k": "b + 16", "r": "k + 6", "z": "r + 4", "d": "z + 10", "u": 6}, "premises": {"u": 6}, "target": "a"}, "answer": {"steps": [["v", "x + 3", "x + 11"], ["x", "p + 14", "p + 25"], ["p", "w + 17", "w + 42"], ["w", "m + 17", "m + 59"], ["m", "u + 19", "u + 78"], ["u", 6, "84"]], "target_var_name": "a", "target_value": 84, "value_dict": {"u": 6}, "is_reverse": true}} | 15,911 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 17; z = r + 4; b = s + 14; w = m + 17; d = z + 10; m = u + 19; k = b + 16; v = x + 3; x = p + 14; a = v + 8; u = 6; s = u + 6; r = k + 6. If u = 6, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 3 to a, which gives a = x + 11.\n2. Substitute x = p + 14 to a, which gives a = p + 25.\n3. Substitute p = w + 17 to a, which gives a = w + 42.\n4. Substitute w = m + 17 to a, which gives a = m + 59.\n5. Substitute m = u + 19 to a, which gives a = u + 78.\n6. Substitute u = 6 to a, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 15911,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 17; z = r + 4; b = s + 14; w = m + 17; d = z + 10; m = u + 19; k = b + 16; v = x + 3; x = p + 14; a = v + 8; u = 6; s = u + 6; r = k + 6. If u = 6, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"i": "p + 20", "x": "i + 19", "y": "x + 14", "z": "y + 7", "t": "z + 13", "q": "t + 11", "v": "p + 11", "u": "v + 19", "l": "u + 15", "s": "l + 3", "f": "s + 20", "a": "f + 3", "p": 17}, "premises": {"p": 17}, "target": "q"}, "answer": {"steps": [["t", "z + 13", "z + 24"], ["z", "y + 7", "y + 31"], ["y", "x + 14", "x + 45"], ["x", "i + 19", "i + 64"], ["i", "p + 20", "p + 84"], ["p", 17, "101"]], "target_var_name": "q", "target_value": 101, "value_dict": {"p": 17}, "is_reverse": true}} | 15,912 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = l + 3; u = v + 19; z = y + 7; x = i + 19; q = t + 11; t = z + 13; i = p + 20; p = 17; a = f + 3; y = x + 14; f = s + 20; v = p + 11; l = u + 15. If p = 17, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 13 to q, which gives q = z + 24.\n2. Substitute z = y + 7 to q, which gives q = y + 31.\n3. Substitute y = x + 14 to q, which gives q = x + 45.\n4. Substitute x = i + 19 to q, which gives q = i + 64.\n5. Substitute i = p + 20 to q, which gives q = p + 84.\n6. Substitute p = 17 to q, which gives q = 101.\n\nThus, the final answer is q = \\boxed{101}.",
"index": 15912,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = l + 3; u = v + 19; z = y + 7; x = i + 19; q = t + 11; t = z + 13; i = p + 20; p = 17; a = f + 3; y = x + 14; f = s + 20; v = p + 11; l = u + 15. If p = 17, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 13", "t": "g + 13", "s": "t + 20", "y": "s + 13", "z": "y + 16", "r": "z + 7", "l": "d + 16", "w": "l + 7", "m": "w + 10", "b": "m + 8", "a": "b + 5", "p": "a + 7", "d": 15}, "premises": {"d": 15}, "target": "r"}, "answer": {"steps": [["z", "y + 16", "y + 23"], ["y", "s + 13", "s + 36"], ["s", "t + 20", "t + 56"], ["t", "g + 13", "g + 69"], ["g", "d + 13", "d + 82"], ["d", 15, "97"]], "target_var_name": "r", "target_value": 97, "value_dict": {"d": 15}, "is_reverse": true}} | 15,913 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = z + 7; p = a + 7; d = 15; z = y + 16; b = m + 8; l = d + 16; y = s + 13; w = l + 7; t = g + 13; m = w + 10; s = t + 20; g = d + 13; a = b + 5. Given that d = 15, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 16 to r, which gives r = y + 23.\n2. Substitute y = s + 13 to r, which gives r = s + 36.\n3. Substitute s = t + 20 to r, which gives r = t + 56.\n4. Substitute t = g + 13 to r, which gives r = g + 69.\n5. Substitute g = d + 13 to r, which gives r = d + 82.\n6. Substitute d = 15 to r, which gives r = 97.\n\nThus, the final answer is r = \\boxed{97}.",
"index": 15913,
"question": "Suppose a collection of variables is related by the following definitions: r = z + 7; p = a + 7; d = 15; z = y + 16; b = m + 8; l = d + 16; y = s + 13; w = l + 7; t = g + 13; m = w + 10; s = t + 20; g = d + 13; a = b + 5. Given that d = 15, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 8", "s": "r + 2", "p": "s + 7", "f": "p + 2", "a": "f + 14", "x": "a + 14", "u": "d + 18", "e": "u + 8", "h": "e + 16", "z": "h + 18", "t": "z + 14", "w": "t + 15", "d": 4}, "premises": {"d": 4}, "target": "x"}, "answer": {"steps": [["a", "f + 14", "f + 28"], ["f", "p + 2", "p + 30"], ["p", "s + 7", "s + 37"], ["s", "r + 2", "r + 39"], ["r", "d + 8", "d + 47"], ["d", 4, "51"]], "target_var_name": "x", "target_value": 51, "value_dict": {"d": 4}, "is_reverse": true}} | 15,914 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = z + 14; w = t + 15; p = s + 7; f = p + 2; d = 4; x = a + 14; h = e + 16; a = f + 14; u = d + 18; z = h + 18; s = r + 2; r = d + 8; e = u + 8. If d = 4, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 14 to x, which gives x = f + 28.\n2. Substitute f = p + 2 to x, which gives x = p + 30.\n3. Substitute p = s + 7 to x, which gives x = s + 37.\n4. Substitute s = r + 2 to x, which gives x = r + 39.\n5. Substitute r = d + 8 to x, which gives x = d + 47.\n6. Substitute d = 4 to x, which gives x = 51.\n\nThus, the final answer is x = \\boxed{51}.",
"index": 15914,
"question": "Consider a system of variables where each variable is defined as follows: t = z + 14; w = t + 15; p = s + 7; f = p + 2; d = 4; x = a + 14; h = e + 16; a = f + 14; u = d + 18; z = h + 18; s = r + 2; r = d + 8; e = u + 8. If d = 4, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 16", "a": "g + 14", "y": "a + 15", "t": "y + 7", "m": "t + 6", "d": "m + 5", "c": "o + 5", "n": "c + 12", "b": "n + 8", "p": "b + 9", "k": "p + 15", "u": "k + 11", "o": 7}, "premises": {"o": 7}, "target": "d"}, "answer": {"steps": [["m", "t + 6", "t + 11"], ["t", "y + 7", "y + 18"], ["y", "a + 15", "a + 33"], ["a", "g + 14", "g + 47"], ["g", "o + 16", "o + 63"], ["o", 7, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"o": 7}, "is_reverse": true}} | 15,915 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = n + 8; o = 7; u = k + 11; c = o + 5; a = g + 14; g = o + 16; m = t + 6; n = c + 12; d = m + 5; k = p + 15; y = a + 15; p = b + 9; t = y + 7. Given that o = 7, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 6 to d, which gives d = t + 11.\n2. Substitute t = y + 7 to d, which gives d = y + 18.\n3. Substitute y = a + 15 to d, which gives d = a + 33.\n4. Substitute a = g + 14 to d, which gives d = g + 47.\n5. Substitute g = o + 16 to d, which gives d = o + 63.\n6. Substitute o = 7 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 15915,
"question": "Suppose a collection of variables is related by the following definitions: b = n + 8; o = 7; u = k + 11; c = o + 5; a = g + 14; g = o + 16; m = t + 6; n = c + 12; d = m + 5; k = p + 15; y = a + 15; p = b + 9; t = y + 7. Given that o = 7, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 1", "e": "u + 8", "o": "e + 16", "r": "o + 20", "y": "r + 13", "h": "y + 5", "b": "f + 16", "z": "b + 19", "q": "z + 11", "j": "q + 7", "n": "j + 19", "w": "n + 4", "f": 5}, "premises": {"f": 5}, "target": "h"}, "answer": {"steps": [["y", "r + 13", "r + 18"], ["r", "o + 20", "o + 38"], ["o", "e + 16", "e + 54"], ["e", "u + 8", "u + 62"], ["u", "f + 1", "f + 63"], ["f", 5, "68"]], "target_var_name": "h", "target_value": 68, "value_dict": {"f": 5}, "is_reverse": true}} | 15,916 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = y + 5; u = f + 1; o = e + 16; j = q + 7; w = n + 4; r = o + 20; z = b + 19; b = f + 16; q = z + 11; e = u + 8; f = 5; n = j + 19; y = r + 13. Given that f = 5, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 13 to h, which gives h = r + 18.\n2. Substitute r = o + 20 to h, which gives h = o + 38.\n3. Substitute o = e + 16 to h, which gives h = e + 54.\n4. Substitute e = u + 8 to h, which gives h = u + 62.\n5. Substitute u = f + 1 to h, which gives h = f + 63.\n6. Substitute f = 5 to h, which gives h = 68.\n\nThus, the final answer is h = \\boxed{68}.",
"index": 15916,
"question": "Suppose a collection of variables is related by the following definitions: h = y + 5; u = f + 1; o = e + 16; j = q + 7; w = n + 4; r = o + 20; z = b + 19; b = f + 16; q = z + 11; e = u + 8; f = 5; n = j + 19; y = r + 13. Given that f = 5, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 17", "h": "e + 17", "s": "h + 12", "f": "s + 12", "y": "f + 14", "o": "y + 17", "q": "b + 17", "m": "q + 20", "l": "m + 10", "j": "l + 3", "d": "j + 1", "a": "d + 5", "b": 13}, "premises": {"b": 13}, "target": "o"}, "answer": {"steps": [["y", "f + 14", "f + 31"], ["f", "s + 12", "s + 43"], ["s", "h + 12", "h + 55"], ["h", "e + 17", "e + 72"], ["e", "b + 17", "b + 89"], ["b", 13, "102"]], "target_var_name": "o", "target_value": 102, "value_dict": {"b": 13}, "is_reverse": true}} | 15,917 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = l + 3; h = e + 17; d = j + 1; s = h + 12; a = d + 5; f = s + 12; l = m + 10; e = b + 17; q = b + 17; y = f + 14; b = 13; o = y + 17; m = q + 20. If b = 13, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 14 to o, which gives o = f + 31.\n2. Substitute f = s + 12 to o, which gives o = s + 43.\n3. Substitute s = h + 12 to o, which gives o = h + 55.\n4. Substitute h = e + 17 to o, which gives o = e + 72.\n5. Substitute e = b + 17 to o, which gives o = b + 89.\n6. Substitute b = 13 to o, which gives o = 102.\n\nThus, the final answer is o = \\boxed{102}.",
"index": 15917,
"question": "Consider a system of variables where each variable is defined as follows: j = l + 3; h = e + 17; d = j + 1; s = h + 12; a = d + 5; f = s + 12; l = m + 10; e = b + 17; q = b + 17; y = f + 14; b = 13; o = y + 17; m = q + 20. If b = 13, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 19", "s": "c + 16", "d": "s + 11", "j": "d + 1", "v": "j + 20", "m": "v + 2", "x": "a + 16", "b": "x + 13", "l": "b + 15", "n": "l + 11", "y": "n + 11", "t": "y + 15", "a": 6}, "premises": {"a": 6}, "target": "m"}, "answer": {"steps": [["v", "j + 20", "j + 22"], ["j", "d + 1", "d + 23"], ["d", "s + 11", "s + 34"], ["s", "c + 16", "c + 50"], ["c", "a + 19", "a + 69"], ["a", 6, "75"]], "target_var_name": "m", "target_value": 75, "value_dict": {"a": 6}, "is_reverse": true}} | 15,918 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = l + 11; d = s + 11; c = a + 19; l = b + 15; y = n + 11; x = a + 16; m = v + 2; j = d + 1; s = c + 16; v = j + 20; t = y + 15; a = 6; b = x + 13. Given that a = 6, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 20 to m, which gives m = j + 22.\n2. Substitute j = d + 1 to m, which gives m = d + 23.\n3. Substitute d = s + 11 to m, which gives m = s + 34.\n4. Substitute s = c + 16 to m, which gives m = c + 50.\n5. Substitute c = a + 19 to m, which gives m = a + 69.\n6. Substitute a = 6 to m, which gives m = 75.\n\nThus, the final answer is m = \\boxed{75}.",
"index": 15918,
"question": "Suppose a collection of variables is related by the following definitions: n = l + 11; d = s + 11; c = a + 19; l = b + 15; y = n + 11; x = a + 16; m = v + 2; j = d + 1; s = c + 16; v = j + 20; t = y + 15; a = 6; b = x + 13. Given that a = 6, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 20", "b": "r + 20", "h": "b + 18", "i": "h + 3", "j": "i + 8", "v": "j + 12", "x": "n + 16", "s": "x + 19", "z": "s + 2", "y": "z + 7", "e": "y + 12", "o": "e + 12", "n": 20}, "premises": {"n": 20}, "target": "v"}, "answer": {"steps": [["j", "i + 8", "i + 20"], ["i", "h + 3", "h + 23"], ["h", "b + 18", "b + 41"], ["b", "r + 20", "r + 61"], ["r", "n + 20", "n + 81"], ["n", 20, "101"]], "target_var_name": "v", "target_value": 101, "value_dict": {"n": 20}, "is_reverse": true}} | 15,919 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = e + 12; z = s + 2; e = y + 12; h = b + 18; r = n + 20; j = i + 8; b = r + 20; v = j + 12; x = n + 16; y = z + 7; n = 20; i = h + 3; s = x + 19. Given that n = 20, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 8 to v, which gives v = i + 20.\n2. Substitute i = h + 3 to v, which gives v = h + 23.\n3. Substitute h = b + 18 to v, which gives v = b + 41.\n4. Substitute b = r + 20 to v, which gives v = r + 61.\n5. Substitute r = n + 20 to v, which gives v = n + 81.\n6. Substitute n = 20 to v, which gives v = 101.\n\nThus, the final answer is v = \\boxed{101}.",
"index": 15919,
"question": "Suppose a collection of variables is related by the following definitions: o = e + 12; z = s + 2; e = y + 12; h = b + 18; r = n + 20; j = i + 8; b = r + 20; v = j + 12; x = n + 16; y = z + 7; n = 20; i = h + 3; s = x + 19. Given that n = 20, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 3", "o": "q + 10", "r": "o + 14", "k": "r + 16", "d": "k + 3", "h": "d + 10", "n": "w + 1", "p": "n + 6", "g": "p + 5", "z": "g + 12", "j": "z + 2", "x": "j + 3", "w": 19}, "premises": {"w": 19}, "target": "h"}, "answer": {"steps": [["d", "k + 3", "k + 13"], ["k", "r + 16", "r + 29"], ["r", "o + 14", "o + 43"], ["o", "q + 10", "q + 53"], ["q", "w + 3", "w + 56"], ["w", 19, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"w": 19}, "is_reverse": true}} | 15,920 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = j + 3; o = q + 10; j = z + 2; h = d + 10; k = r + 16; q = w + 3; p = n + 6; z = g + 12; w = 19; d = k + 3; r = o + 14; n = w + 1; g = p + 5. If w = 19, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 3 to h, which gives h = k + 13.\n2. Substitute k = r + 16 to h, which gives h = r + 29.\n3. Substitute r = o + 14 to h, which gives h = o + 43.\n4. Substitute o = q + 10 to h, which gives h = q + 53.\n5. Substitute q = w + 3 to h, which gives h = w + 56.\n6. Substitute w = 19 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 15920,
"question": "Consider a system of variables where each variable is defined as follows: x = j + 3; o = q + 10; j = z + 2; h = d + 10; k = r + 16; q = w + 3; p = n + 6; z = g + 12; w = 19; d = k + 3; r = o + 14; n = w + 1; g = p + 5. If w = 19, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 19", "s": "l + 19", "m": "s + 20", "d": "m + 18", "z": "d + 7", "a": "z + 19", "h": "g + 6", "t": "h + 5", "x": "t + 10", "u": "x + 19", "r": "u + 2", "i": "r + 3", "g": 2}, "premises": {"g": 2}, "target": "a"}, "answer": {"steps": [["z", "d + 7", "d + 26"], ["d", "m + 18", "m + 44"], ["m", "s + 20", "s + 64"], ["s", "l + 19", "l + 83"], ["l", "g + 19", "g + 102"], ["g", 2, "104"]], "target_var_name": "a", "target_value": 104, "value_dict": {"g": 2}, "is_reverse": true}} | 15,921 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = t + 10; d = m + 18; s = l + 19; g = 2; l = g + 19; a = z + 19; r = u + 2; i = r + 3; z = d + 7; m = s + 20; h = g + 6; t = h + 5; u = x + 19. Given that g = 2, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 7 to a, which gives a = d + 26.\n2. Substitute d = m + 18 to a, which gives a = m + 44.\n3. Substitute m = s + 20 to a, which gives a = s + 64.\n4. Substitute s = l + 19 to a, which gives a = l + 83.\n5. Substitute l = g + 19 to a, which gives a = g + 102.\n6. Substitute g = 2 to a, which gives a = 104.\n\nThus, the final answer is a = \\boxed{104}.",
"index": 15921,
"question": "Suppose a collection of variables is related by the following definitions: x = t + 10; d = m + 18; s = l + 19; g = 2; l = g + 19; a = z + 19; r = u + 2; i = r + 3; z = d + 7; m = s + 20; h = g + 6; t = h + 5; u = x + 19. Given that g = 2, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 1", "v": "s + 3", "l": "v + 8", "h": "l + 13", "n": "h + 11", "y": "n + 2", "z": "u + 6", "f": "z + 9", "a": "f + 14", "e": "a + 2", "p": "e + 9", "t": "p + 17", "u": 18}, "premises": {"u": 18}, "target": "y"}, "answer": {"steps": [["n", "h + 11", "h + 13"], ["h", "l + 13", "l + 26"], ["l", "v + 8", "v + 34"], ["v", "s + 3", "s + 37"], ["s", "u + 1", "u + 38"], ["u", 18, "56"]], "target_var_name": "y", "target_value": 56, "value_dict": {"u": 18}, "is_reverse": true}} | 15,922 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = f + 14; l = v + 8; t = p + 17; e = a + 2; p = e + 9; y = n + 2; v = s + 3; f = z + 9; h = l + 13; n = h + 11; u = 18; z = u + 6; s = u + 1. If u = 18, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 11 to y, which gives y = h + 13.\n2. Substitute h = l + 13 to y, which gives y = l + 26.\n3. Substitute l = v + 8 to y, which gives y = v + 34.\n4. Substitute v = s + 3 to y, which gives y = s + 37.\n5. Substitute s = u + 1 to y, which gives y = u + 38.\n6. Substitute u = 18 to y, which gives y = 56.\n\nThus, the final answer is y = \\boxed{56}.",
"index": 15922,
"question": "Consider a system of variables where each variable is defined as follows: a = f + 14; l = v + 8; t = p + 17; e = a + 2; p = e + 9; y = n + 2; v = s + 3; f = z + 9; h = l + 13; n = h + 11; u = 18; z = u + 6; s = u + 1. If u = 18, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 14", "k": "y + 11", "g": "k + 19", "c": "g + 9", "a": "c + 14", "b": "a + 19", "n": "h + 20", "x": "n + 16", "f": "x + 14", "r": "f + 11", "p": "r + 4", "s": "p + 12", "h": 9}, "premises": {"h": 9}, "target": "b"}, "answer": {"steps": [["a", "c + 14", "c + 33"], ["c", "g + 9", "g + 42"], ["g", "k + 19", "k + 61"], ["k", "y + 11", "y + 72"], ["y", "h + 14", "h + 86"], ["h", 9, "95"]], "target_var_name": "b", "target_value": 95, "value_dict": {"h": 9}, "is_reverse": true}} | 15,923 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = p + 12; h = 9; r = f + 11; p = r + 4; n = h + 20; g = k + 19; c = g + 9; f = x + 14; y = h + 14; b = a + 19; k = y + 11; a = c + 14; x = n + 16. If h = 9, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 14 to b, which gives b = c + 33.\n2. Substitute c = g + 9 to b, which gives b = g + 42.\n3. Substitute g = k + 19 to b, which gives b = k + 61.\n4. Substitute k = y + 11 to b, which gives b = y + 72.\n5. Substitute y = h + 14 to b, which gives b = h + 86.\n6. Substitute h = 9 to b, which gives b = 95.\n\nThus, the final answer is b = \\boxed{95}.",
"index": 15923,
"question": "Consider a system of variables where each variable is defined as follows: s = p + 12; h = 9; r = f + 11; p = r + 4; n = h + 20; g = k + 19; c = g + 9; f = x + 14; y = h + 14; b = a + 19; k = y + 11; a = c + 14; x = n + 16. If h = 9, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"h": "b + 13", "j": "h + 14", "g": "j + 5", "e": "g + 13", "t": "e + 7", "f": "t + 3", "n": "b + 16", "o": "n + 16", "q": "o + 11", "p": "q + 9", "y": "p + 12", "s": "y + 17", "b": 12}, "premises": {"b": 12}, "target": "f"}, "answer": {"steps": [["t", "e + 7", "e + 10"], ["e", "g + 13", "g + 23"], ["g", "j + 5", "j + 28"], ["j", "h + 14", "h + 42"], ["h", "b + 13", "b + 55"], ["b", 12, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"b": 12}, "is_reverse": true}} | 15,924 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = q + 9; n = b + 16; e = g + 13; h = b + 13; j = h + 14; q = o + 11; b = 12; s = y + 17; f = t + 3; o = n + 16; t = e + 7; g = j + 5; y = p + 12. Given that b = 12, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 7 to f, which gives f = e + 10.\n2. Substitute e = g + 13 to f, which gives f = g + 23.\n3. Substitute g = j + 5 to f, which gives f = j + 28.\n4. Substitute j = h + 14 to f, which gives f = h + 42.\n5. Substitute h = b + 13 to f, which gives f = b + 55.\n6. Substitute b = 12 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 15924,
"question": "Suppose a collection of variables is related by the following definitions: p = q + 9; n = b + 16; e = g + 13; h = b + 13; j = h + 14; q = o + 11; b = 12; s = y + 17; f = t + 3; o = n + 16; t = e + 7; g = j + 5; y = p + 12. Given that b = 12, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"q": "b + 10", "p": "q + 16", "z": "p + 14", "w": "z + 17", "f": "w + 9", "v": "f + 20", "x": "b + 11", "r": "x + 4", "e": "r + 12", "m": "e + 4", "k": "m + 15", "t": "k + 11", "b": 15}, "premises": {"b": 15}, "target": "v"}, "answer": {"steps": [["f", "w + 9", "w + 29"], ["w", "z + 17", "z + 46"], ["z", "p + 14", "p + 60"], ["p", "q + 16", "q + 76"], ["q", "b + 10", "b + 86"], ["b", 15, "101"]], "target_var_name": "v", "target_value": 101, "value_dict": {"b": 15}, "is_reverse": true}} | 15,925 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = f + 20; t = k + 11; p = q + 16; k = m + 15; x = b + 11; z = p + 14; w = z + 17; f = w + 9; e = r + 12; r = x + 4; m = e + 4; b = 15; q = b + 10. Given that b = 15, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 9 to v, which gives v = w + 29.\n2. Substitute w = z + 17 to v, which gives v = z + 46.\n3. Substitute z = p + 14 to v, which gives v = p + 60.\n4. Substitute p = q + 16 to v, which gives v = q + 76.\n5. Substitute q = b + 10 to v, which gives v = b + 86.\n6. Substitute b = 15 to v, which gives v = 101.\n\nThus, the final answer is v = \\boxed{101}.",
"index": 15925,
"question": "Suppose a collection of variables is related by the following definitions: v = f + 20; t = k + 11; p = q + 16; k = m + 15; x = b + 11; z = p + 14; w = z + 17; f = w + 9; e = r + 12; r = x + 4; m = e + 4; b = 15; q = b + 10. Given that b = 15, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 5", "x": "y + 3", "q": "x + 20", "l": "q + 19", "u": "l + 3", "v": "u + 18", "j": "b + 10", "d": "j + 14", "z": "d + 19", "a": "z + 16", "p": "a + 17", "f": "p + 15", "b": 3}, "premises": {"b": 3}, "target": "v"}, "answer": {"steps": [["u", "l + 3", "l + 21"], ["l", "q + 19", "q + 40"], ["q", "x + 20", "x + 60"], ["x", "y + 3", "y + 63"], ["y", "b + 5", "b + 68"], ["b", 3, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"b": 3}, "is_reverse": true}} | 15,926 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = d + 19; y = b + 5; u = l + 3; a = z + 16; x = y + 3; l = q + 19; f = p + 15; d = j + 14; b = 3; p = a + 17; j = b + 10; v = u + 18; q = x + 20. If b = 3, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 3 to v, which gives v = l + 21.\n2. Substitute l = q + 19 to v, which gives v = q + 40.\n3. Substitute q = x + 20 to v, which gives v = x + 60.\n4. Substitute x = y + 3 to v, which gives v = y + 63.\n5. Substitute y = b + 5 to v, which gives v = b + 68.\n6. Substitute b = 3 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 15926,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = d + 19; y = b + 5; u = l + 3; a = z + 16; x = y + 3; l = q + 19; f = p + 15; d = j + 14; b = 3; p = a + 17; j = b + 10; v = u + 18; q = x + 20. If b = 3, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 16", "o": "h + 11", "f": "o + 15", "j": "f + 14", "l": "j + 17", "m": "l + 10", "b": "w + 19", "v": "b + 2", "e": "v + 16", "u": "e + 9", "g": "u + 7", "z": "g + 20", "w": 6}, "premises": {"w": 6}, "target": "m"}, "answer": {"steps": [["l", "j + 17", "j + 27"], ["j", "f + 14", "f + 41"], ["f", "o + 15", "o + 56"], ["o", "h + 11", "h + 67"], ["h", "w + 16", "w + 83"], ["w", 6, "89"]], "target_var_name": "m", "target_value": 89, "value_dict": {"w": 6}, "is_reverse": true}} | 15,927 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = l + 10; v = b + 2; e = v + 16; j = f + 14; h = w + 16; b = w + 19; g = u + 7; u = e + 9; o = h + 11; w = 6; f = o + 15; z = g + 20; l = j + 17. Given that w = 6, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 17 to m, which gives m = j + 27.\n2. Substitute j = f + 14 to m, which gives m = f + 41.\n3. Substitute f = o + 15 to m, which gives m = o + 56.\n4. Substitute o = h + 11 to m, which gives m = h + 67.\n5. Substitute h = w + 16 to m, which gives m = w + 83.\n6. Substitute w = 6 to m, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 15927,
"question": "Suppose a collection of variables is related by the following definitions: m = l + 10; v = b + 2; e = v + 16; j = f + 14; h = w + 16; b = w + 19; g = u + 7; u = e + 9; o = h + 11; w = 6; f = o + 15; z = g + 20; l = j + 17. Given that w = 6, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 14", "z": "x + 19", "r": "z + 4", "a": "r + 5", "p": "a + 16", "i": "p + 18", "h": "y + 9", "m": "h + 15", "n": "m + 16", "t": "n + 5", "e": "t + 6", "c": "e + 4", "y": 2}, "premises": {"y": 2}, "target": "i"}, "answer": {"steps": [["p", "a + 16", "a + 34"], ["a", "r + 5", "r + 39"], ["r", "z + 4", "z + 43"], ["z", "x + 19", "x + 62"], ["x", "y + 14", "y + 76"], ["y", 2, "78"]], "target_var_name": "i", "target_value": 78, "value_dict": {"y": 2}, "is_reverse": true}} | 15,928 | 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 = p + 18; r = z + 4; a = r + 5; h = y + 9; z = x + 19; m = h + 15; e = t + 6; x = y + 14; t = n + 5; p = a + 16; n = m + 16; c = e + 4; y = 2. If y = 2, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 16 to i, which gives i = a + 34.\n2. Substitute a = r + 5 to i, which gives i = r + 39.\n3. Substitute r = z + 4 to i, which gives i = z + 43.\n4. Substitute z = x + 19 to i, which gives i = x + 62.\n5. Substitute x = y + 14 to i, which gives i = y + 76.\n6. Substitute y = 2 to i, which gives i = 78.\n\nThus, the final answer is i = \\boxed{78}.",
"index": 15928,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = p + 18; r = z + 4; a = r + 5; h = y + 9; z = x + 19; m = h + 15; e = t + 6; x = y + 14; t = n + 5; p = a + 16; n = m + 16; c = e + 4; y = 2. If y = 2, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 8", "v": "u + 11", "j": "v + 9", "f": "j + 10", "w": "f + 3", "g": "w + 2", "k": "n + 1", "d": "k + 2", "x": "d + 1", "i": "x + 7", "h": "i + 7", "y": "h + 6", "n": 20}, "premises": {"n": 20}, "target": "g"}, "answer": {"steps": [["w", "f + 3", "f + 5"], ["f", "j + 10", "j + 15"], ["j", "v + 9", "v + 24"], ["v", "u + 11", "u + 35"], ["u", "n + 8", "n + 43"], ["n", 20, "63"]], "target_var_name": "g", "target_value": 63, "value_dict": {"n": 20}, "is_reverse": true}} | 15,929 | 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 = d + 1; d = k + 2; j = v + 9; h = i + 7; v = u + 11; y = h + 6; i = x + 7; g = w + 2; n = 20; f = j + 10; w = f + 3; u = n + 8; k = n + 1. If n = 20, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 3 to g, which gives g = f + 5.\n2. Substitute f = j + 10 to g, which gives g = j + 15.\n3. Substitute j = v + 9 to g, which gives g = v + 24.\n4. Substitute v = u + 11 to g, which gives g = u + 35.\n5. Substitute u = n + 8 to g, which gives g = n + 43.\n6. Substitute n = 20 to g, which gives g = 63.\n\nThus, the final answer is g = \\boxed{63}.",
"index": 15929,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = d + 1; d = k + 2; j = v + 9; h = i + 7; v = u + 11; y = h + 6; i = x + 7; g = w + 2; n = 20; f = j + 10; w = f + 3; u = n + 8; k = n + 1. If n = 20, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 18", "m": "r + 8", "x": "m + 7", "s": "x + 15", "w": "s + 18", "j": "w + 16", "b": "y + 10", "z": "b + 3", "o": "z + 4", "q": "o + 5", "g": "q + 20", "h": "g + 15", "y": 1}, "premises": {"y": 1}, "target": "j"}, "answer": {"steps": [["w", "s + 18", "s + 34"], ["s", "x + 15", "x + 49"], ["x", "m + 7", "m + 56"], ["m", "r + 8", "r + 64"], ["r", "y + 18", "y + 82"], ["y", 1, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"y": 1}, "is_reverse": true}} | 15,930 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = w + 16; b = y + 10; m = r + 8; h = g + 15; x = m + 7; z = b + 3; g = q + 20; r = y + 18; o = z + 4; y = 1; w = s + 18; s = x + 15; q = o + 5. Given that y = 1, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 18 to j, which gives j = s + 34.\n2. Substitute s = x + 15 to j, which gives j = x + 49.\n3. Substitute x = m + 7 to j, which gives j = m + 56.\n4. Substitute m = r + 8 to j, which gives j = r + 64.\n5. Substitute r = y + 18 to j, which gives j = y + 82.\n6. Substitute y = 1 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 15930,
"question": "Suppose a collection of variables is related by the following definitions: j = w + 16; b = y + 10; m = r + 8; h = g + 15; x = m + 7; z = b + 3; g = q + 20; r = y + 18; o = z + 4; y = 1; w = s + 18; s = x + 15; q = o + 5. Given that y = 1, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 2", "n": "c + 14", "i": "n + 18", "f": "i + 7", "y": "f + 2", "k": "y + 19", "q": "p + 4", "w": "q + 17", "j": "w + 16", "o": "j + 15", "u": "o + 7", "d": "u + 6", "p": 5}, "premises": {"p": 5}, "target": "k"}, "answer": {"steps": [["y", "f + 2", "f + 21"], ["f", "i + 7", "i + 28"], ["i", "n + 18", "n + 46"], ["n", "c + 14", "c + 60"], ["c", "p + 2", "p + 62"], ["p", 5, "67"]], "target_var_name": "k", "target_value": 67, "value_dict": {"p": 5}, "is_reverse": true}} | 15,931 | 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 = p + 4; o = j + 15; w = q + 17; c = p + 2; y = f + 2; n = c + 14; j = w + 16; i = n + 18; f = i + 7; u = o + 7; k = y + 19; d = u + 6; p = 5. If p = 5, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 2 to k, which gives k = f + 21.\n2. Substitute f = i + 7 to k, which gives k = i + 28.\n3. Substitute i = n + 18 to k, which gives k = n + 46.\n4. Substitute n = c + 14 to k, which gives k = c + 60.\n5. Substitute c = p + 2 to k, which gives k = p + 62.\n6. Substitute p = 5 to k, which gives k = 67.\n\nThus, the final answer is k = \\boxed{67}.",
"index": 15931,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = p + 4; o = j + 15; w = q + 17; c = p + 2; y = f + 2; n = c + 14; j = w + 16; i = n + 18; f = i + 7; u = o + 7; k = y + 19; d = u + 6; p = 5. If p = 5, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 17", "a": "n + 11", "e": "a + 20", "z": "e + 14", "y": "z + 13", "d": "y + 1", "x": "h + 1", "o": "x + 9", "q": "o + 8", "j": "q + 20", "s": "j + 5", "w": "s + 12", "h": 16}, "premises": {"h": 16}, "target": "d"}, "answer": {"steps": [["y", "z + 13", "z + 14"], ["z", "e + 14", "e + 28"], ["e", "a + 20", "a + 48"], ["a", "n + 11", "n + 59"], ["n", "h + 17", "h + 76"], ["h", 16, "92"]], "target_var_name": "d", "target_value": 92, "value_dict": {"h": 16}, "is_reverse": true}} | 15,932 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = o + 8; e = a + 20; o = x + 9; s = j + 5; n = h + 17; h = 16; w = s + 12; a = n + 11; j = q + 20; y = z + 13; z = e + 14; x = h + 1; d = y + 1. If h = 16, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 13 to d, which gives d = z + 14.\n2. Substitute z = e + 14 to d, which gives d = e + 28.\n3. Substitute e = a + 20 to d, which gives d = a + 48.\n4. Substitute a = n + 11 to d, which gives d = n + 59.\n5. Substitute n = h + 17 to d, which gives d = h + 76.\n6. Substitute h = 16 to d, which gives d = 92.\n\nThus, the final answer is d = \\boxed{92}.",
"index": 15932,
"question": "Consider a system of variables where each variable is defined as follows: q = o + 8; e = a + 20; o = x + 9; s = j + 5; n = h + 17; h = 16; w = s + 12; a = n + 11; j = q + 20; y = z + 13; z = e + 14; x = h + 1; d = y + 1. If h = 16, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 3", "g": "b + 20", "q": "g + 20", "v": "q + 16", "i": "v + 18", "r": "i + 7", "h": "n + 1", "m": "h + 11", "y": "m + 8", "u": "y + 11", "e": "u + 13", "c": "e + 14", "n": 19}, "premises": {"n": 19}, "target": "r"}, "answer": {"steps": [["i", "v + 18", "v + 25"], ["v", "q + 16", "q + 41"], ["q", "g + 20", "g + 61"], ["g", "b + 20", "b + 81"], ["b", "n + 3", "n + 84"], ["n", 19, "103"]], "target_var_name": "r", "target_value": 103, "value_dict": {"n": 19}, "is_reverse": true}} | 15,933 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = g + 20; h = n + 1; r = i + 7; c = e + 14; e = u + 13; m = h + 11; y = m + 8; v = q + 16; u = y + 11; b = n + 3; g = b + 20; i = v + 18; n = 19. If n = 19, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 18 to r, which gives r = v + 25.\n2. Substitute v = q + 16 to r, which gives r = q + 41.\n3. Substitute q = g + 20 to r, which gives r = g + 61.\n4. Substitute g = b + 20 to r, which gives r = b + 81.\n5. Substitute b = n + 3 to r, which gives r = n + 84.\n6. Substitute n = 19 to r, which gives r = 103.\n\nThus, the final answer is r = \\boxed{103}.",
"index": 15933,
"question": "Consider a system of variables where each variable is defined as follows: q = g + 20; h = n + 1; r = i + 7; c = e + 14; e = u + 13; m = h + 11; y = m + 8; v = q + 16; u = y + 11; b = n + 3; g = b + 20; i = v + 18; n = 19. If n = 19, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 3", "h": "d + 15", "p": "h + 18", "m": "p + 16", "g": "m + 6", "f": "g + 11", "e": "z + 18", "r": "e + 4", "j": "r + 9", "q": "j + 9", "v": "q + 12", "o": "v + 17", "z": 14}, "premises": {"z": 14}, "target": "f"}, "answer": {"steps": [["g", "m + 6", "m + 17"], ["m", "p + 16", "p + 33"], ["p", "h + 18", "h + 51"], ["h", "d + 15", "d + 66"], ["d", "z + 3", "z + 69"], ["z", 14, "83"]], "target_var_name": "f", "target_value": 83, "value_dict": {"z": 14}, "is_reverse": true}} | 15,934 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = z + 18; j = r + 9; d = z + 3; g = m + 6; v = q + 12; h = d + 15; z = 14; o = v + 17; r = e + 4; m = p + 16; p = h + 18; f = g + 11; q = j + 9. Given that z = 14, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 6 to f, which gives f = m + 17.\n2. Substitute m = p + 16 to f, which gives f = p + 33.\n3. Substitute p = h + 18 to f, which gives f = h + 51.\n4. Substitute h = d + 15 to f, which gives f = d + 66.\n5. Substitute d = z + 3 to f, which gives f = z + 69.\n6. Substitute z = 14 to f, which gives f = 83.\n\nThus, the final answer is f = \\boxed{83}.",
"index": 15934,
"question": "Suppose a collection of variables is related by the following definitions: e = z + 18; j = r + 9; d = z + 3; g = m + 6; v = q + 12; h = d + 15; z = 14; o = v + 17; r = e + 4; m = p + 16; p = h + 18; f = g + 11; q = j + 9. Given that z = 14, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"y": "z + 7", "e": "y + 3", "h": "e + 16", "v": "h + 16", "u": "v + 14", "q": "u + 15", "t": "z + 16", "s": "t + 13", "j": "s + 7", "l": "j + 1", "d": "l + 7", "w": "d + 13", "z": 5}, "premises": {"z": 5}, "target": "q"}, "answer": {"steps": [["u", "v + 14", "v + 29"], ["v", "h + 16", "h + 45"], ["h", "e + 16", "e + 61"], ["e", "y + 3", "y + 64"], ["y", "z + 7", "z + 71"], ["z", 5, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"z": 5}, "is_reverse": true}} | 15,935 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = u + 15; d = l + 7; l = j + 1; h = e + 16; s = t + 13; v = h + 16; e = y + 3; y = z + 7; j = s + 7; w = d + 13; z = 5; t = z + 16; u = v + 14. If z = 5, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 14 to q, which gives q = v + 29.\n2. Substitute v = h + 16 to q, which gives q = h + 45.\n3. Substitute h = e + 16 to q, which gives q = e + 61.\n4. Substitute e = y + 3 to q, which gives q = y + 64.\n5. Substitute y = z + 7 to q, which gives q = z + 71.\n6. Substitute z = 5 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 15935,
"question": "Consider a system of variables where each variable is defined as follows: q = u + 15; d = l + 7; l = j + 1; h = e + 16; s = t + 13; v = h + 16; e = y + 3; y = z + 7; j = s + 7; w = d + 13; z = 5; t = z + 16; u = v + 14. If z = 5, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 16", "y": "s + 15", "n": "y + 11", "t": "n + 20", "o": "t + 13", "m": "o + 3", "x": "l + 1", "c": "x + 2", "v": "c + 13", "i": "v + 19", "g": "i + 10", "u": "g + 19", "l": 17}, "premises": {"l": 17}, "target": "m"}, "answer": {"steps": [["o", "t + 13", "t + 16"], ["t", "n + 20", "n + 36"], ["n", "y + 11", "y + 47"], ["y", "s + 15", "s + 62"], ["s", "l + 16", "l + 78"], ["l", 17, "95"]], "target_var_name": "m", "target_value": 95, "value_dict": {"l": 17}, "is_reverse": true}} | 15,936 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 20; n = y + 11; v = c + 13; s = l + 16; o = t + 13; i = v + 19; x = l + 1; m = o + 3; g = i + 10; y = s + 15; u = g + 19; c = x + 2; l = 17. If l = 17, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 13 to m, which gives m = t + 16.\n2. Substitute t = n + 20 to m, which gives m = n + 36.\n3. Substitute n = y + 11 to m, which gives m = y + 47.\n4. Substitute y = s + 15 to m, which gives m = s + 62.\n5. Substitute s = l + 16 to m, which gives m = l + 78.\n6. Substitute l = 17 to m, which gives m = 95.\n\nThus, the final answer is m = \\boxed{95}.",
"index": 15936,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 20; n = y + 11; v = c + 13; s = l + 16; o = t + 13; i = v + 19; x = l + 1; m = o + 3; g = i + 10; y = s + 15; u = g + 19; c = x + 2; l = 17. If l = 17, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"v": "u + 3", "b": "v + 4", "y": "b + 16", "n": "y + 13", "s": "n + 17", "p": "s + 8", "l": "u + 14", "c": "l + 18", "h": "c + 8", "k": "h + 8", "j": "k + 8", "t": "j + 14", "u": 16}, "premises": {"u": 16}, "target": "p"}, "answer": {"steps": [["s", "n + 17", "n + 25"], ["n", "y + 13", "y + 38"], ["y", "b + 16", "b + 54"], ["b", "v + 4", "v + 58"], ["v", "u + 3", "u + 61"], ["u", 16, "77"]], "target_var_name": "p", "target_value": 77, "value_dict": {"u": 16}, "is_reverse": true}} | 15,937 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = 16; t = j + 14; l = u + 14; s = n + 17; y = b + 16; j = k + 8; b = v + 4; p = s + 8; n = y + 13; k = h + 8; v = u + 3; h = c + 8; c = l + 18. Given that u = 16, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = n + 17 to p, which gives p = n + 25.\n2. Substitute n = y + 13 to p, which gives p = y + 38.\n3. Substitute y = b + 16 to p, which gives p = b + 54.\n4. Substitute b = v + 4 to p, which gives p = v + 58.\n5. Substitute v = u + 3 to p, which gives p = u + 61.\n6. Substitute u = 16 to p, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 15937,
"question": "Suppose a collection of variables is related by the following definitions: u = 16; t = j + 14; l = u + 14; s = n + 17; y = b + 16; j = k + 8; b = v + 4; p = s + 8; n = y + 13; k = h + 8; v = u + 3; h = c + 8; c = l + 18. Given that u = 16, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 6", "j": "m + 18", "p": "j + 10", "x": "p + 13", "f": "x + 2", "u": "f + 11", "z": "w + 14", "g": "z + 12", "e": "g + 13", "a": "e + 2", "c": "a + 8", "y": "c + 10", "w": 20}, "premises": {"w": 20}, "target": "u"}, "answer": {"steps": [["f", "x + 2", "x + 13"], ["x", "p + 13", "p + 26"], ["p", "j + 10", "j + 36"], ["j", "m + 18", "m + 54"], ["m", "w + 6", "w + 60"], ["w", 20, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"w": 20}, "is_reverse": true}} | 15,938 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = z + 12; e = g + 13; z = w + 14; u = f + 11; c = a + 8; a = e + 2; m = w + 6; f = x + 2; x = p + 13; w = 20; y = c + 10; p = j + 10; j = m + 18. If w = 20, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 2 to u, which gives u = x + 13.\n2. Substitute x = p + 13 to u, which gives u = p + 26.\n3. Substitute p = j + 10 to u, which gives u = j + 36.\n4. Substitute j = m + 18 to u, which gives u = m + 54.\n5. Substitute m = w + 6 to u, which gives u = w + 60.\n6. Substitute w = 20 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 15938,
"question": "Consider a system of variables where each variable is defined as follows: g = z + 12; e = g + 13; z = w + 14; u = f + 11; c = a + 8; a = e + 2; m = w + 6; f = x + 2; x = p + 13; w = 20; y = c + 10; p = j + 10; j = m + 18. If w = 20, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 7", "p": "m + 11", "e": "p + 7", "t": "e + 12", "z": "t + 8", "j": "z + 6", "v": "g + 2", "n": "v + 7", "w": "n + 17", "b": "w + 9", "i": "b + 14", "h": "i + 3", "g": 15}, "premises": {"g": 15}, "target": "j"}, "answer": {"steps": [["z", "t + 8", "t + 14"], ["t", "e + 12", "e + 26"], ["e", "p + 7", "p + 33"], ["p", "m + 11", "m + 44"], ["m", "g + 7", "g + 51"], ["g", 15, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"g": 15}, "is_reverse": true}} | 15,939 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = g + 2; g = 15; p = m + 11; w = n + 17; m = g + 7; b = w + 9; z = t + 8; e = p + 7; i = b + 14; n = v + 7; j = z + 6; h = i + 3; t = e + 12. If g = 15, 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 z = t + 8 to j, which gives j = t + 14.\n2. Substitute t = e + 12 to j, which gives j = e + 26.\n3. Substitute e = p + 7 to j, which gives j = p + 33.\n4. Substitute p = m + 11 to j, which gives j = m + 44.\n5. Substitute m = g + 7 to j, which gives j = g + 51.\n6. Substitute g = 15 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 15939,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = g + 2; g = 15; p = m + 11; w = n + 17; m = g + 7; b = w + 9; z = t + 8; e = p + 7; i = b + 14; n = v + 7; j = z + 6; h = i + 3; t = e + 12. If g = 15, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 17", "g": "a + 10", "s": "g + 16", "w": "s + 1", "q": "w + 12", "b": "q + 10", "n": "p + 11", "z": "n + 1", "c": "z + 9", "x": "c + 20", "t": "x + 16", "e": "t + 2", "p": 18}, "premises": {"p": 18}, "target": "b"}, "answer": {"steps": [["q", "w + 12", "w + 22"], ["w", "s + 1", "s + 23"], ["s", "g + 16", "g + 39"], ["g", "a + 10", "a + 49"], ["a", "p + 17", "p + 66"], ["p", 18, "84"]], "target_var_name": "b", "target_value": 84, "value_dict": {"p": 18}, "is_reverse": true}} | 15,940 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = p + 17; e = t + 2; c = z + 9; b = q + 10; x = c + 20; p = 18; w = s + 1; z = n + 1; g = a + 10; s = g + 16; n = p + 11; q = w + 12; t = x + 16. If p = 18, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 12 to b, which gives b = w + 22.\n2. Substitute w = s + 1 to b, which gives b = s + 23.\n3. Substitute s = g + 16 to b, which gives b = g + 39.\n4. Substitute g = a + 10 to b, which gives b = a + 49.\n5. Substitute a = p + 17 to b, which gives b = p + 66.\n6. Substitute p = 18 to b, which gives b = 84.\n\nThus, the final answer is b = \\boxed{84}.",
"index": 15940,
"question": "Consider a system of variables where each variable is defined as follows: a = p + 17; e = t + 2; c = z + 9; b = q + 10; x = c + 20; p = 18; w = s + 1; z = n + 1; g = a + 10; s = g + 16; n = p + 11; q = w + 12; t = x + 16. If p = 18, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 4", "p": "q + 11", "i": "p + 5", "w": "i + 8", "b": "w + 4", "f": "b + 2", "m": "h + 1", "g": "m + 13", "x": "g + 11", "v": "x + 11", "a": "v + 6", "j": "a + 20", "h": 1}, "premises": {"h": 1}, "target": "f"}, "answer": {"steps": [["b", "w + 4", "w + 6"], ["w", "i + 8", "i + 14"], ["i", "p + 5", "p + 19"], ["p", "q + 11", "q + 30"], ["q", "h + 4", "h + 34"], ["h", 1, "35"]], "target_var_name": "f", "target_value": 35, "value_dict": {"h": 1}, "is_reverse": true}} | 15,941 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = g + 11; j = a + 20; a = v + 6; f = b + 2; v = x + 11; m = h + 1; g = m + 13; q = h + 4; b = w + 4; w = i + 8; p = q + 11; h = 1; i = p + 5. If h = 1, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 35,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 4 to f, which gives f = w + 6.\n2. Substitute w = i + 8 to f, which gives f = i + 14.\n3. Substitute i = p + 5 to f, which gives f = p + 19.\n4. Substitute p = q + 11 to f, which gives f = q + 30.\n5. Substitute q = h + 4 to f, which gives f = h + 34.\n6. Substitute h = 1 to f, which gives f = 35.\n\nThus, the final answer is f = \\boxed{35}.",
"index": 15941,
"question": "Consider a system of variables where each variable is defined as follows: x = g + 11; j = a + 20; a = v + 6; f = b + 2; v = x + 11; m = h + 1; g = m + 13; q = h + 4; b = w + 4; w = i + 8; p = q + 11; h = 1; i = p + 5. If h = 1, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 19", "p": "s + 8", "g": "p + 7", "h": "g + 17", "r": "h + 3", "m": "r + 6", "k": "w + 15", "f": "k + 10", "q": "f + 17", "l": "q + 20", "b": "l + 4", "a": "b + 16", "w": 9}, "premises": {"w": 9}, "target": "m"}, "answer": {"steps": [["r", "h + 3", "h + 9"], ["h", "g + 17", "g + 26"], ["g", "p + 7", "p + 33"], ["p", "s + 8", "s + 41"], ["s", "w + 19", "w + 60"], ["w", 9, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"w": 9}, "is_reverse": true}} | 15,942 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = l + 4; p = s + 8; q = f + 17; s = w + 19; w = 9; g = p + 7; m = r + 6; r = h + 3; f = k + 10; h = g + 17; l = q + 20; k = w + 15; a = b + 16. Given that w = 9, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 3 to m, which gives m = h + 9.\n2. Substitute h = g + 17 to m, which gives m = g + 26.\n3. Substitute g = p + 7 to m, which gives m = p + 33.\n4. Substitute p = s + 8 to m, which gives m = s + 41.\n5. Substitute s = w + 19 to m, which gives m = w + 60.\n6. Substitute w = 9 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 15942,
"question": "Suppose a collection of variables is related by the following definitions: b = l + 4; p = s + 8; q = f + 17; s = w + 19; w = 9; g = p + 7; m = r + 6; r = h + 3; f = k + 10; h = g + 17; l = q + 20; k = w + 15; a = b + 16. Given that w = 9, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 10", "c": "k + 7", "s": "c + 1", "g": "s + 6", "n": "g + 14", "t": "n + 1", "d": "e + 13", "q": "d + 6", "b": "q + 7", "u": "b + 9", "a": "u + 8", "y": "a + 2", "e": 8}, "premises": {"e": 8}, "target": "t"}, "answer": {"steps": [["n", "g + 14", "g + 15"], ["g", "s + 6", "s + 21"], ["s", "c + 1", "c + 22"], ["c", "k + 7", "k + 29"], ["k", "e + 10", "e + 39"], ["e", 8, "47"]], "target_var_name": "t", "target_value": 47, "value_dict": {"e": 8}, "is_reverse": true}} | 15,943 | 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 = n + 1; c = k + 7; g = s + 6; u = b + 9; q = d + 6; k = e + 10; n = g + 14; b = q + 7; a = u + 8; s = c + 1; e = 8; y = a + 2; d = e + 13. If e = 8, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 14 to t, which gives t = g + 15.\n2. Substitute g = s + 6 to t, which gives t = s + 21.\n3. Substitute s = c + 1 to t, which gives t = c + 22.\n4. Substitute c = k + 7 to t, which gives t = k + 29.\n5. Substitute k = e + 10 to t, which gives t = e + 39.\n6. Substitute e = 8 to t, which gives t = 47.\n\nThus, the final answer is t = \\boxed{47}.",
"index": 15943,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 1; c = k + 7; g = s + 6; u = b + 9; q = d + 6; k = e + 10; n = g + 14; b = q + 7; a = u + 8; s = c + 1; e = 8; y = a + 2; d = e + 13. If e = 8, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 20", "x": "f + 17", "g": "x + 2", "e": "g + 9", "r": "e + 5", "n": "r + 16", "w": "b + 13", "o": "w + 14", "d": "o + 17", "q": "d + 15", "h": "q + 19", "m": "h + 13", "b": 8}, "premises": {"b": 8}, "target": "n"}, "answer": {"steps": [["r", "e + 5", "e + 21"], ["e", "g + 9", "g + 30"], ["g", "x + 2", "x + 32"], ["x", "f + 17", "f + 49"], ["f", "b + 20", "b + 69"], ["b", 8, "77"]], "target_var_name": "n", "target_value": 77, "value_dict": {"b": 8}, "is_reverse": true}} | 15,944 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = f + 17; g = x + 2; q = d + 15; f = b + 20; r = e + 5; n = r + 16; d = o + 17; o = w + 14; m = h + 13; b = 8; e = g + 9; w = b + 13; h = q + 19. Given that b = 8, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 5 to n, which gives n = e + 21.\n2. Substitute e = g + 9 to n, which gives n = g + 30.\n3. Substitute g = x + 2 to n, which gives n = x + 32.\n4. Substitute x = f + 17 to n, which gives n = f + 49.\n5. Substitute f = b + 20 to n, which gives n = b + 69.\n6. Substitute b = 8 to n, which gives n = 77.\n\nThus, the final answer is n = \\boxed{77}.",
"index": 15944,
"question": "Suppose a collection of variables is related by the following definitions: x = f + 17; g = x + 2; q = d + 15; f = b + 20; r = e + 5; n = r + 16; d = o + 17; o = w + 14; m = h + 13; b = 8; e = g + 9; w = b + 13; h = q + 19. Given that b = 8, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 12", "z": "w + 11", "m": "z + 19", "l": "m + 18", "k": "l + 20", "o": "k + 15", "u": "q + 8", "b": "u + 19", "c": "b + 14", "d": "c + 4", "r": "d + 12", "j": "r + 4", "q": 14}, "premises": {"q": 14}, "target": "o"}, "answer": {"steps": [["k", "l + 20", "l + 35"], ["l", "m + 18", "m + 53"], ["m", "z + 19", "z + 72"], ["z", "w + 11", "w + 83"], ["w", "q + 12", "q + 95"], ["q", 14, "109"]], "target_var_name": "o", "target_value": 109, "value_dict": {"q": 14}, "is_reverse": true}} | 15,945 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = u + 19; d = c + 4; m = z + 19; r = d + 12; z = w + 11; q = 14; c = b + 14; w = q + 12; l = m + 18; j = r + 4; u = q + 8; o = k + 15; k = l + 20. If q = 14, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 20 to o, which gives o = l + 35.\n2. Substitute l = m + 18 to o, which gives o = m + 53.\n3. Substitute m = z + 19 to o, which gives o = z + 72.\n4. Substitute z = w + 11 to o, which gives o = w + 83.\n5. Substitute w = q + 12 to o, which gives o = q + 95.\n6. Substitute q = 14 to o, which gives o = 109.\n\nThus, the final answer is o = \\boxed{109}.",
"index": 15945,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = u + 19; d = c + 4; m = z + 19; r = d + 12; z = w + 11; q = 14; c = b + 14; w = q + 12; l = m + 18; j = r + 4; u = q + 8; o = k + 15; k = l + 20. If q = 14, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 2", "k": "i + 4", "a": "k + 6", "t": "a + 13", "m": "t + 1", "d": "m + 12", "w": "o + 2", "j": "w + 1", "p": "j + 12", "h": "p + 5", "c": "h + 2", "y": "c + 10", "o": 20}, "premises": {"o": 20}, "target": "d"}, "answer": {"steps": [["m", "t + 1", "t + 13"], ["t", "a + 13", "a + 26"], ["a", "k + 6", "k + 32"], ["k", "i + 4", "i + 36"], ["i", "o + 2", "o + 38"], ["o", 20, "58"]], "target_var_name": "d", "target_value": 58, "value_dict": {"o": 20}, "is_reverse": true}} | 15,946 | 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 = 20; w = o + 2; c = h + 2; a = k + 6; m = t + 1; t = a + 13; p = j + 12; j = w + 1; h = p + 5; y = c + 10; d = m + 12; k = i + 4; i = o + 2. If o = 20, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 1 to d, which gives d = t + 13.\n2. Substitute t = a + 13 to d, which gives d = a + 26.\n3. Substitute a = k + 6 to d, which gives d = k + 32.\n4. Substitute k = i + 4 to d, which gives d = i + 36.\n5. Substitute i = o + 2 to d, which gives d = o + 38.\n6. Substitute o = 20 to d, which gives d = 58.\n\nThus, the final answer is d = \\boxed{58}.",
"index": 15946,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 20; w = o + 2; c = h + 2; a = k + 6; m = t + 1; t = a + 13; p = j + 12; j = w + 1; h = p + 5; y = c + 10; d = m + 12; k = i + 4; i = o + 2. If o = 20, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 6", "o": "x + 14", "n": "o + 6", "u": "n + 4", "b": "u + 17", "s": "b + 20", "d": "w + 12", "i": "d + 7", "t": "i + 17", "l": "t + 2", "e": "l + 17", "h": "e + 4", "w": 8}, "premises": {"w": 8}, "target": "s"}, "answer": {"steps": [["b", "u + 17", "u + 37"], ["u", "n + 4", "n + 41"], ["n", "o + 6", "o + 47"], ["o", "x + 14", "x + 61"], ["x", "w + 6", "w + 67"], ["w", 8, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"w": 8}, "is_reverse": true}} | 15,947 | 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 = u + 17; l = t + 2; i = d + 7; s = b + 20; e = l + 17; w = 8; h = e + 4; t = i + 17; o = x + 14; n = o + 6; x = w + 6; u = n + 4; d = w + 12. If w = 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 b = u + 17 to s, which gives s = u + 37.\n2. Substitute u = n + 4 to s, which gives s = n + 41.\n3. Substitute n = o + 6 to s, which gives s = o + 47.\n4. Substitute o = x + 14 to s, which gives s = x + 61.\n5. Substitute x = w + 6 to s, which gives s = w + 67.\n6. Substitute w = 8 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 15947,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = u + 17; l = t + 2; i = d + 7; s = b + 20; e = l + 17; w = 8; h = e + 4; t = i + 17; o = x + 14; n = o + 6; x = w + 6; u = n + 4; d = w + 12. If w = 8, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 20", "x": "m + 20", "c": "x + 17", "j": "c + 11", "i": "j + 11", "p": "i + 6", "d": "t + 16", "r": "d + 14", "u": "r + 8", "v": "u + 18", "f": "v + 15", "o": "f + 8", "t": 8}, "premises": {"t": 8}, "target": "p"}, "answer": {"steps": [["i", "j + 11", "j + 17"], ["j", "c + 11", "c + 28"], ["c", "x + 17", "x + 45"], ["x", "m + 20", "m + 65"], ["m", "t + 20", "t + 85"], ["t", 8, "93"]], "target_var_name": "p", "target_value": 93, "value_dict": {"t": 8}, "is_reverse": true}} | 15,948 | 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 + 20; t = 8; i = j + 11; f = v + 15; r = d + 14; m = t + 20; j = c + 11; c = x + 17; v = u + 18; u = r + 8; d = t + 16; o = f + 8; p = i + 6. If t = 8, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 11 to p, which gives p = j + 17.\n2. Substitute j = c + 11 to p, which gives p = c + 28.\n3. Substitute c = x + 17 to p, which gives p = x + 45.\n4. Substitute x = m + 20 to p, which gives p = m + 65.\n5. Substitute m = t + 20 to p, which gives p = t + 85.\n6. Substitute t = 8 to p, which gives p = 93.\n\nThus, the final answer is p = \\boxed{93}.",
"index": 15948,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = m + 20; t = 8; i = j + 11; f = v + 15; r = d + 14; m = t + 20; j = c + 11; c = x + 17; v = u + 18; u = r + 8; d = t + 16; o = f + 8; p = i + 6. If t = 8, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 19", "k": "b + 7", "v": "k + 15", "w": "v + 19", "p": "w + 9", "d": "p + 13", "l": "o + 17", "z": "l + 20", "u": "z + 6", "j": "u + 6", "q": "j + 8", "g": "q + 20", "o": 19}, "premises": {"o": 19}, "target": "d"}, "answer": {"steps": [["p", "w + 9", "w + 22"], ["w", "v + 19", "v + 41"], ["v", "k + 15", "k + 56"], ["k", "b + 7", "b + 63"], ["b", "o + 19", "o + 82"], ["o", 19, "101"]], "target_var_name": "d", "target_value": 101, "value_dict": {"o": 19}, "is_reverse": true}} | 15,949 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = v + 19; j = u + 6; b = o + 19; l = o + 17; k = b + 7; z = l + 20; q = j + 8; u = z + 6; o = 19; v = k + 15; d = p + 13; p = w + 9; g = q + 20. If o = 19, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 9 to d, which gives d = w + 22.\n2. Substitute w = v + 19 to d, which gives d = v + 41.\n3. Substitute v = k + 15 to d, which gives d = k + 56.\n4. Substitute k = b + 7 to d, which gives d = b + 63.\n5. Substitute b = o + 19 to d, which gives d = o + 82.\n6. Substitute o = 19 to d, which gives d = 101.\n\nThus, the final answer is d = \\boxed{101}.",
"index": 15949,
"question": "Consider a system of variables where each variable is defined as follows: w = v + 19; j = u + 6; b = o + 19; l = o + 17; k = b + 7; z = l + 20; q = j + 8; u = z + 6; o = 19; v = k + 15; d = p + 13; p = w + 9; g = q + 20. If o = 19, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"t": "d + 12", "z": "t + 3", "j": "z + 20", "r": "j + 16", "m": "r + 7", "p": "m + 3", "c": "d + 20", "o": "c + 5", "u": "o + 20", "a": "u + 19", "h": "a + 3", "x": "h + 1", "d": 7}, "premises": {"d": 7}, "target": "p"}, "answer": {"steps": [["m", "r + 7", "r + 10"], ["r", "j + 16", "j + 26"], ["j", "z + 20", "z + 46"], ["z", "t + 3", "t + 49"], ["t", "d + 12", "d + 61"], ["d", 7, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"d": 7}, "is_reverse": true}} | 15,950 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = m + 3; x = h + 1; z = t + 3; r = j + 16; j = z + 20; u = o + 20; m = r + 7; h = a + 3; d = 7; c = d + 20; t = d + 12; o = c + 5; a = u + 19. Given that d = 7, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 7 to p, which gives p = r + 10.\n2. Substitute r = j + 16 to p, which gives p = j + 26.\n3. Substitute j = z + 20 to p, which gives p = z + 46.\n4. Substitute z = t + 3 to p, which gives p = t + 49.\n5. Substitute t = d + 12 to p, which gives p = d + 61.\n6. Substitute d = 7 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 15950,
"question": "Suppose a collection of variables is related by the following definitions: p = m + 3; x = h + 1; z = t + 3; r = j + 16; j = z + 20; u = o + 20; m = r + 7; h = a + 3; d = 7; c = d + 20; t = d + 12; o = c + 5; a = u + 19. Given that d = 7, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 4", "g": "h + 12", "f": "g + 19", "a": "f + 13", "l": "a + 7", "o": "l + 18", "s": "t + 4", "z": "s + 6", "u": "z + 1", "w": "u + 12", "e": "w + 3", "b": "e + 8", "t": 10}, "premises": {"t": 10}, "target": "o"}, "answer": {"steps": [["l", "a + 7", "a + 25"], ["a", "f + 13", "f + 38"], ["f", "g + 19", "g + 57"], ["g", "h + 12", "h + 69"], ["h", "t + 4", "t + 73"], ["t", 10, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"t": 10}, "is_reverse": true}} | 15,951 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = w + 3; h = t + 4; z = s + 6; a = f + 13; s = t + 4; b = e + 8; t = 10; o = l + 18; l = a + 7; f = g + 19; u = z + 1; w = u + 12; g = h + 12. If t = 10, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 7 to o, which gives o = a + 25.\n2. Substitute a = f + 13 to o, which gives o = f + 38.\n3. Substitute f = g + 19 to o, which gives o = g + 57.\n4. Substitute g = h + 12 to o, which gives o = h + 69.\n5. Substitute h = t + 4 to o, which gives o = t + 73.\n6. Substitute t = 10 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 15951,
"question": "Consider a system of variables where each variable is defined as follows: e = w + 3; h = t + 4; z = s + 6; a = f + 13; s = t + 4; b = e + 8; t = 10; o = l + 18; l = a + 7; f = g + 19; u = z + 1; w = u + 12; g = h + 12. If t = 10, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"z": "x + 9", "y": "z + 16", "g": "y + 4", "l": "g + 3", "t": "l + 19", "w": "t + 15", "p": "x + 5", "e": "p + 4", "i": "e + 18", "s": "i + 16", "h": "s + 17", "f": "h + 20", "x": 8}, "premises": {"x": 8}, "target": "w"}, "answer": {"steps": [["t", "l + 19", "l + 34"], ["l", "g + 3", "g + 37"], ["g", "y + 4", "y + 41"], ["y", "z + 16", "z + 57"], ["z", "x + 9", "x + 66"], ["x", 8, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"x": 8}, "is_reverse": true}} | 15,952 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = l + 19; i = e + 18; w = t + 15; h = s + 17; p = x + 5; l = g + 3; g = y + 4; f = h + 20; z = x + 9; s = i + 16; y = z + 16; e = p + 4; x = 8. Given that x = 8, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 19 to w, which gives w = l + 34.\n2. Substitute l = g + 3 to w, which gives w = g + 37.\n3. Substitute g = y + 4 to w, which gives w = y + 41.\n4. Substitute y = z + 16 to w, which gives w = z + 57.\n5. Substitute z = x + 9 to w, which gives w = x + 66.\n6. Substitute x = 8 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 15952,
"question": "Suppose a collection of variables is related by the following definitions: t = l + 19; i = e + 18; w = t + 15; h = s + 17; p = x + 5; l = g + 3; g = y + 4; f = h + 20; z = x + 9; s = i + 16; y = z + 16; e = p + 4; x = 8. Given that x = 8, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"p": "v + 7", "j": "p + 8", "q": "j + 6", "r": "q + 8", "e": "r + 13", "c": "e + 20", "y": "v + 6", "h": "y + 14", "u": "h + 9", "g": "u + 8", "k": "g + 11", "f": "k + 15", "v": 17}, "premises": {"v": 17}, "target": "c"}, "answer": {"steps": [["e", "r + 13", "r + 33"], ["r", "q + 8", "q + 41"], ["q", "j + 6", "j + 47"], ["j", "p + 8", "p + 55"], ["p", "v + 7", "v + 62"], ["v", 17, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"v": 17}, "is_reverse": true}} | 15,953 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = p + 8; e = r + 13; r = q + 8; v = 17; p = v + 7; g = u + 8; q = j + 6; y = v + 6; u = h + 9; c = e + 20; f = k + 15; h = y + 14; k = g + 11. Given that v = 17, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 13 to c, which gives c = r + 33.\n2. Substitute r = q + 8 to c, which gives c = q + 41.\n3. Substitute q = j + 6 to c, which gives c = j + 47.\n4. Substitute j = p + 8 to c, which gives c = p + 55.\n5. Substitute p = v + 7 to c, which gives c = v + 62.\n6. Substitute v = 17 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 15953,
"question": "Suppose a collection of variables is related by the following definitions: j = p + 8; e = r + 13; r = q + 8; v = 17; p = v + 7; g = u + 8; q = j + 6; y = v + 6; u = h + 9; c = e + 20; f = k + 15; h = y + 14; k = g + 11. Given that v = 17, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 9", "d": "n + 9", "j": "d + 8", "f": "j + 2", "z": "f + 9", "s": "z + 11", "k": "a + 15", "c": "k + 7", "u": "c + 2", "i": "u + 20", "p": "i + 1", "l": "p + 11", "a": 20}, "premises": {"a": 20}, "target": "s"}, "answer": {"steps": [["z", "f + 9", "f + 20"], ["f", "j + 2", "j + 22"], ["j", "d + 8", "d + 30"], ["d", "n + 9", "n + 39"], ["n", "a + 9", "a + 48"], ["a", 20, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"a": 20}, "is_reverse": true}} | 15,954 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = i + 1; f = j + 2; k = a + 15; s = z + 11; z = f + 9; u = c + 2; l = p + 11; j = d + 8; c = k + 7; a = 20; i = u + 20; n = a + 9; d = n + 9. Given that a = 20, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 9 to s, which gives s = f + 20.\n2. Substitute f = j + 2 to s, which gives s = j + 22.\n3. Substitute j = d + 8 to s, which gives s = d + 30.\n4. Substitute d = n + 9 to s, which gives s = n + 39.\n5. Substitute n = a + 9 to s, which gives s = a + 48.\n6. Substitute a = 20 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 15954,
"question": "Suppose a collection of variables is related by the following definitions: p = i + 1; f = j + 2; k = a + 15; s = z + 11; z = f + 9; u = c + 2; l = p + 11; j = d + 8; c = k + 7; a = 20; i = u + 20; n = a + 9; d = n + 9. Given that a = 20, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"p": "q + 7", "u": "p + 17", "c": "u + 14", "t": "c + 5", "i": "t + 3", "f": "i + 5", "g": "q + 14", "y": "g + 9", "l": "y + 8", "b": "l + 7", "x": "b + 4", "d": "x + 3", "q": 14}, "premises": {"q": 14}, "target": "f"}, "answer": {"steps": [["i", "t + 3", "t + 8"], ["t", "c + 5", "c + 13"], ["c", "u + 14", "u + 27"], ["u", "p + 17", "p + 44"], ["p", "q + 7", "q + 51"], ["q", 14, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"q": 14}, "is_reverse": true}} | 15,955 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = q + 14; f = i + 5; l = y + 8; q = 14; d = x + 3; b = l + 7; u = p + 17; x = b + 4; i = t + 3; y = g + 9; c = u + 14; p = q + 7; t = c + 5. If q = 14, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 3 to f, which gives f = t + 8.\n2. Substitute t = c + 5 to f, which gives f = c + 13.\n3. Substitute c = u + 14 to f, which gives f = u + 27.\n4. Substitute u = p + 17 to f, which gives f = p + 44.\n5. Substitute p = q + 7 to f, which gives f = q + 51.\n6. Substitute q = 14 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 15955,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = q + 14; f = i + 5; l = y + 8; q = 14; d = x + 3; b = l + 7; u = p + 17; x = b + 4; i = t + 3; y = g + 9; c = u + 14; p = q + 7; t = c + 5. If q = 14, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 11", "h": "n + 19", "e": "h + 18", "g": "e + 8", "l": "g + 7", "u": "l + 5", "j": "f + 5", "m": "j + 3", "x": "m + 2", "k": "x + 12", "p": "k + 2", "v": "p + 3", "f": 7}, "premises": {"f": 7}, "target": "u"}, "answer": {"steps": [["l", "g + 7", "g + 12"], ["g", "e + 8", "e + 20"], ["e", "h + 18", "h + 38"], ["h", "n + 19", "n + 57"], ["n", "f + 11", "f + 68"], ["f", 7, "75"]], "target_var_name": "u", "target_value": 75, "value_dict": {"f": 7}, "is_reverse": true}} | 15,956 | 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 = f + 5; n = f + 11; p = k + 2; l = g + 7; v = p + 3; h = n + 19; e = h + 18; x = m + 2; g = e + 8; k = x + 12; f = 7; m = j + 3; u = l + 5. If f = 7, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 7 to u, which gives u = g + 12.\n2. Substitute g = e + 8 to u, which gives u = e + 20.\n3. Substitute e = h + 18 to u, which gives u = h + 38.\n4. Substitute h = n + 19 to u, which gives u = n + 57.\n5. Substitute n = f + 11 to u, which gives u = f + 68.\n6. Substitute f = 7 to u, which gives u = 75.\n\nThus, the final answer is u = \\boxed{75}.",
"index": 15956,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = f + 5; n = f + 11; p = k + 2; l = g + 7; v = p + 3; h = n + 19; e = h + 18; x = m + 2; g = e + 8; k = x + 12; f = 7; m = j + 3; u = l + 5. If f = 7, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"v": "z + 11", "x": "v + 17", "s": "x + 19", "y": "s + 3", "l": "y + 1", "e": "l + 14", "o": "z + 5", "i": "o + 18", "u": "i + 10", "r": "u + 16", "n": "r + 13", "a": "n + 19", "z": 4}, "premises": {"z": 4}, "target": "e"}, "answer": {"steps": [["l", "y + 1", "y + 15"], ["y", "s + 3", "s + 18"], ["s", "x + 19", "x + 37"], ["x", "v + 17", "v + 54"], ["v", "z + 11", "z + 65"], ["z", 4, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"z": 4}, "is_reverse": true}} | 15,957 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = 4; s = x + 19; v = z + 11; n = r + 13; o = z + 5; u = i + 10; r = u + 16; e = l + 14; l = y + 1; x = v + 17; y = s + 3; a = n + 19; i = o + 18. Given that z = 4, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 1 to e, which gives e = y + 15.\n2. Substitute y = s + 3 to e, which gives e = s + 18.\n3. Substitute s = x + 19 to e, which gives e = x + 37.\n4. Substitute x = v + 17 to e, which gives e = v + 54.\n5. Substitute v = z + 11 to e, which gives e = z + 65.\n6. Substitute z = 4 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 15957,
"question": "Suppose a collection of variables is related by the following definitions: z = 4; s = x + 19; v = z + 11; n = r + 13; o = z + 5; u = i + 10; r = u + 16; e = l + 14; l = y + 1; x = v + 17; y = s + 3; a = n + 19; i = o + 18. Given that z = 4, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 14", "n": "g + 12", "k": "n + 6", "x": "k + 5", "t": "x + 6", "l": "t + 12", "r": "m + 1", "d": "r + 17", "q": "d + 18", "u": "q + 19", "s": "u + 19", "j": "s + 17", "m": 12}, "premises": {"m": 12}, "target": "l"}, "answer": {"steps": [["t", "x + 6", "x + 18"], ["x", "k + 5", "k + 23"], ["k", "n + 6", "n + 29"], ["n", "g + 12", "g + 41"], ["g", "m + 14", "m + 55"], ["m", 12, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"m": 12}, "is_reverse": true}} | 15,958 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = k + 5; k = n + 6; r = m + 1; m = 12; l = t + 12; u = q + 19; n = g + 12; s = u + 19; d = r + 17; t = x + 6; q = d + 18; g = m + 14; j = s + 17. Given that m = 12, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 6 to l, which gives l = x + 18.\n2. Substitute x = k + 5 to l, which gives l = k + 23.\n3. Substitute k = n + 6 to l, which gives l = n + 29.\n4. Substitute n = g + 12 to l, which gives l = g + 41.\n5. Substitute g = m + 14 to l, which gives l = m + 55.\n6. Substitute m = 12 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 15958,
"question": "Suppose a collection of variables is related by the following definitions: x = k + 5; k = n + 6; r = m + 1; m = 12; l = t + 12; u = q + 19; n = g + 12; s = u + 19; d = r + 17; t = x + 6; q = d + 18; g = m + 14; j = s + 17. Given that m = 12, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"w": "v + 16", "j": "w + 16", "o": "j + 11", "f": "o + 8", "k": "f + 14", "z": "k + 2", "l": "v + 1", "m": "l + 15", "h": "m + 5", "u": "h + 18", "x": "u + 13", "y": "x + 1", "v": 15}, "premises": {"v": 15}, "target": "z"}, "answer": {"steps": [["k", "f + 14", "f + 16"], ["f", "o + 8", "o + 24"], ["o", "j + 11", "j + 35"], ["j", "w + 16", "w + 51"], ["w", "v + 16", "v + 67"], ["v", 15, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"v": 15}, "is_reverse": true}} | 15,959 | 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 + 1; j = w + 16; x = u + 13; o = j + 11; v = 15; l = v + 1; k = f + 14; m = l + 15; f = o + 8; w = v + 16; h = m + 5; z = k + 2; u = h + 18. If v = 15, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 14 to z, which gives z = f + 16.\n2. Substitute f = o + 8 to z, which gives z = o + 24.\n3. Substitute o = j + 11 to z, which gives z = j + 35.\n4. Substitute j = w + 16 to z, which gives z = w + 51.\n5. Substitute w = v + 16 to z, which gives z = v + 67.\n6. Substitute v = 15 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 15959,
"question": "Consider a system of variables where each variable is defined as follows: y = x + 1; j = w + 16; x = u + 13; o = j + 11; v = 15; l = v + 1; k = f + 14; m = l + 15; f = o + 8; w = v + 16; h = m + 5; z = k + 2; u = h + 18. If v = 15, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 3", "q": "c + 8", "z": "q + 19", "n": "z + 6", "h": "n + 12", "v": "h + 13", "i": "e + 12", "s": "i + 19", "x": "s + 16", "d": "x + 6", "l": "d + 14", "j": "l + 11", "e": 9}, "premises": {"e": 9}, "target": "v"}, "answer": {"steps": [["h", "n + 12", "n + 25"], ["n", "z + 6", "z + 31"], ["z", "q + 19", "q + 50"], ["q", "c + 8", "c + 58"], ["c", "e + 3", "e + 61"], ["e", 9, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"e": 9}, "is_reverse": true}} | 15,960 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = n + 12; z = q + 19; i = e + 12; n = z + 6; v = h + 13; x = s + 16; d = x + 6; c = e + 3; e = 9; q = c + 8; l = d + 14; j = l + 11; s = i + 19. If e = 9, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 12 to v, which gives v = n + 25.\n2. Substitute n = z + 6 to v, which gives v = z + 31.\n3. Substitute z = q + 19 to v, which gives v = q + 50.\n4. Substitute q = c + 8 to v, which gives v = c + 58.\n5. Substitute c = e + 3 to v, which gives v = e + 61.\n6. Substitute e = 9 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 15960,
"question": "Consider a system of variables where each variable is defined as follows: h = n + 12; z = q + 19; i = e + 12; n = z + 6; v = h + 13; x = s + 16; d = x + 6; c = e + 3; e = 9; q = c + 8; l = d + 14; j = l + 11; s = i + 19. If e = 9, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 17", "n": "w + 16", "o": "n + 13", "t": "o + 5", "v": "t + 14", "c": "v + 5", "z": "g + 17", "h": "z + 19", "y": "h + 10", "p": "y + 17", "d": "p + 18", "e": "d + 7", "g": 13}, "premises": {"g": 13}, "target": "c"}, "answer": {"steps": [["v", "t + 14", "t + 19"], ["t", "o + 5", "o + 24"], ["o", "n + 13", "n + 37"], ["n", "w + 16", "w + 53"], ["w", "g + 17", "g + 70"], ["g", 13, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"g": 13}, "is_reverse": true}} | 15,961 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = g + 17; p = y + 17; c = v + 5; d = p + 18; w = g + 17; e = d + 7; v = t + 14; y = h + 10; o = n + 13; t = o + 5; n = w + 16; h = z + 19; g = 13. If g = 13, determine 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 v = t + 14 to c, which gives c = t + 19.\n2. Substitute t = o + 5 to c, which gives c = o + 24.\n3. Substitute o = n + 13 to c, which gives c = n + 37.\n4. Substitute n = w + 16 to c, which gives c = w + 53.\n5. Substitute w = g + 17 to c, which gives c = g + 70.\n6. Substitute g = 13 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 15961,
"question": "Consider a system of variables where each variable is defined as follows: z = g + 17; p = y + 17; c = v + 5; d = p + 18; w = g + 17; e = d + 7; v = t + 14; y = h + 10; o = n + 13; t = o + 5; n = w + 16; h = z + 19; g = 13. If g = 13, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 18", "p": "c + 15", "m": "p + 20", "b": "m + 11", "i": "b + 12", "u": "i + 2", "f": "t + 2", "k": "f + 15", "h": "k + 1", "a": "h + 15", "z": "a + 2", "x": "z + 14", "t": 6}, "premises": {"t": 6}, "target": "u"}, "answer": {"steps": [["i", "b + 12", "b + 14"], ["b", "m + 11", "m + 25"], ["m", "p + 20", "p + 45"], ["p", "c + 15", "c + 60"], ["c", "t + 18", "t + 78"], ["t", 6, "84"]], "target_var_name": "u", "target_value": 84, "value_dict": {"t": 6}, "is_reverse": true}} | 15,962 | 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 = k + 1; p = c + 15; b = m + 11; u = i + 2; x = z + 14; a = h + 15; m = p + 20; t = 6; c = t + 18; k = f + 15; z = a + 2; f = t + 2; i = b + 12. If t = 6, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 12 to u, which gives u = b + 14.\n2. Substitute b = m + 11 to u, which gives u = m + 25.\n3. Substitute m = p + 20 to u, which gives u = p + 45.\n4. Substitute p = c + 15 to u, which gives u = c + 60.\n5. Substitute c = t + 18 to u, which gives u = t + 78.\n6. Substitute t = 6 to u, which gives u = 84.\n\nThus, the final answer is u = \\boxed{84}.",
"index": 15962,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 1; p = c + 15; b = m + 11; u = i + 2; x = z + 14; a = h + 15; m = p + 20; t = 6; c = t + 18; k = f + 15; z = a + 2; f = t + 2; i = b + 12. If t = 6, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 7", "m": "w + 14", "l": "m + 19", "f": "l + 10", "z": "f + 4", "u": "z + 12", "n": "x + 15", "e": "n + 16", "d": "e + 13", "k": "d + 5", "b": "k + 12", "g": "b + 2", "x": 5}, "premises": {"x": 5}, "target": "u"}, "answer": {"steps": [["z", "f + 4", "f + 16"], ["f", "l + 10", "l + 26"], ["l", "m + 19", "m + 45"], ["m", "w + 14", "w + 59"], ["w", "x + 7", "x + 66"], ["x", 5, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"x": 5}, "is_reverse": true}} | 15,963 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = b + 2; d = e + 13; b = k + 12; l = m + 19; w = x + 7; n = x + 15; e = n + 16; f = l + 10; k = d + 5; m = w + 14; x = 5; u = z + 12; z = f + 4. If x = 5, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 4 to u, which gives u = f + 16.\n2. Substitute f = l + 10 to u, which gives u = l + 26.\n3. Substitute l = m + 19 to u, which gives u = m + 45.\n4. Substitute m = w + 14 to u, which gives u = w + 59.\n5. Substitute w = x + 7 to u, which gives u = x + 66.\n6. Substitute x = 5 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 15963,
"question": "Consider a system of variables where each variable is defined as follows: g = b + 2; d = e + 13; b = k + 12; l = m + 19; w = x + 7; n = x + 15; e = n + 16; f = l + 10; k = d + 5; m = w + 14; x = 5; u = z + 12; z = f + 4. If x = 5, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 3", "f": "y + 18", "e": "f + 8", "i": "e + 17", "c": "i + 6", "o": "c + 16", "w": "h + 19", "z": "w + 1", "m": "z + 8", "r": "m + 16", "d": "r + 9", "l": "d + 14", "h": 3}, "premises": {"h": 3}, "target": "o"}, "answer": {"steps": [["c", "i + 6", "i + 22"], ["i", "e + 17", "e + 39"], ["e", "f + 8", "f + 47"], ["f", "y + 18", "y + 65"], ["y", "h + 3", "h + 68"], ["h", 3, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"h": 3}, "is_reverse": true}} | 15,964 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = e + 17; o = c + 16; f = y + 18; z = w + 1; c = i + 6; r = m + 16; l = d + 14; m = z + 8; h = 3; e = f + 8; d = r + 9; y = h + 3; w = h + 19. If h = 3, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 6 to o, which gives o = i + 22.\n2. Substitute i = e + 17 to o, which gives o = e + 39.\n3. Substitute e = f + 8 to o, which gives o = f + 47.\n4. Substitute f = y + 18 to o, which gives o = y + 65.\n5. Substitute y = h + 3 to o, which gives o = h + 68.\n6. Substitute h = 3 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 15964,
"question": "Consider a system of variables where each variable is defined as follows: i = e + 17; o = c + 16; f = y + 18; z = w + 1; c = i + 6; r = m + 16; l = d + 14; m = z + 8; h = 3; e = f + 8; d = r + 9; y = h + 3; w = h + 19. If h = 3, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"c": "h + 3", "d": "c + 9", "j": "d + 14", "v": "j + 11", "b": "v + 15", "o": "b + 20", "r": "h + 13", "i": "r + 3", "s": "i + 3", "z": "s + 14", "u": "z + 1", "n": "u + 4", "h": 16}, "premises": {"h": 16}, "target": "o"}, "answer": {"steps": [["b", "v + 15", "v + 35"], ["v", "j + 11", "j + 46"], ["j", "d + 14", "d + 60"], ["d", "c + 9", "c + 69"], ["c", "h + 3", "h + 72"], ["h", 16, "88"]], "target_var_name": "o", "target_value": 88, "value_dict": {"h": 16}, "is_reverse": true}} | 15,965 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = v + 15; j = d + 14; d = c + 9; r = h + 13; v = j + 11; c = h + 3; h = 16; o = b + 20; i = r + 3; u = z + 1; z = s + 14; n = u + 4; s = i + 3. If h = 16, 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 b = v + 15 to o, which gives o = v + 35.\n2. Substitute v = j + 11 to o, which gives o = j + 46.\n3. Substitute j = d + 14 to o, which gives o = d + 60.\n4. Substitute d = c + 9 to o, which gives o = c + 69.\n5. Substitute c = h + 3 to o, which gives o = h + 72.\n6. Substitute h = 16 to o, which gives o = 88.\n\nThus, the final answer is o = \\boxed{88}.",
"index": 15965,
"question": "Consider a system of variables where each variable is defined as follows: b = v + 15; j = d + 14; d = c + 9; r = h + 13; v = j + 11; c = h + 3; h = 16; o = b + 20; i = r + 3; u = z + 1; z = s + 14; n = u + 4; s = i + 3. If h = 16, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 11", "q": "p + 20", "h": "q + 11", "x": "h + 12", "u": "x + 2", "z": "u + 1", "g": "r + 11", "m": "g + 12", "o": "m + 11", "w": "o + 1", "a": "w + 13", "l": "a + 9", "r": 20}, "premises": {"r": 20}, "target": "z"}, "answer": {"steps": [["u", "x + 2", "x + 3"], ["x", "h + 12", "h + 15"], ["h", "q + 11", "q + 26"], ["q", "p + 20", "p + 46"], ["p", "r + 11", "r + 57"], ["r", 20, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"r": 20}, "is_reverse": true}} | 15,966 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = a + 9; g = r + 11; h = q + 11; a = w + 13; q = p + 20; p = r + 11; z = u + 1; m = g + 12; x = h + 12; w = o + 1; o = m + 11; r = 20; u = x + 2. Given that r = 20, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 2 to z, which gives z = x + 3.\n2. Substitute x = h + 12 to z, which gives z = h + 15.\n3. Substitute h = q + 11 to z, which gives z = q + 26.\n4. Substitute q = p + 20 to z, which gives z = p + 46.\n5. Substitute p = r + 11 to z, which gives z = r + 57.\n6. Substitute r = 20 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 15966,
"question": "Suppose a collection of variables is related by the following definitions: l = a + 9; g = r + 11; h = q + 11; a = w + 13; q = p + 20; p = r + 11; z = u + 1; m = g + 12; x = h + 12; w = o + 1; o = m + 11; r = 20; u = x + 2. Given that r = 20, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 8", "e": "h + 6", "p": "e + 19", "u": "p + 16", "l": "u + 1", "a": "l + 15", "g": "w + 8", "m": "g + 11", "x": "m + 1", "n": "x + 7", "r": "n + 13", "j": "r + 2", "w": 7}, "premises": {"w": 7}, "target": "a"}, "answer": {"steps": [["l", "u + 1", "u + 16"], ["u", "p + 16", "p + 32"], ["p", "e + 19", "e + 51"], ["e", "h + 6", "h + 57"], ["h", "w + 8", "w + 65"], ["w", 7, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"w": 7}, "is_reverse": true}} | 15,967 | 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 = w + 8; p = e + 19; e = h + 6; n = x + 7; j = r + 2; w = 7; r = n + 13; m = g + 11; x = m + 1; u = p + 16; l = u + 1; h = w + 8; a = l + 15. If w = 7, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 1 to a, which gives a = u + 16.\n2. Substitute u = p + 16 to a, which gives a = p + 32.\n3. Substitute p = e + 19 to a, which gives a = e + 51.\n4. Substitute e = h + 6 to a, which gives a = h + 57.\n5. Substitute h = w + 8 to a, which gives a = w + 65.\n6. Substitute w = 7 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 15967,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = w + 8; p = e + 19; e = h + 6; n = x + 7; j = r + 2; w = 7; r = n + 13; m = g + 11; x = m + 1; u = p + 16; l = u + 1; h = w + 8; a = l + 15. If w = 7, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 6", "s": "v + 12", "m": "s + 4", "f": "m + 20", "x": "f + 6", "h": "x + 12", "k": "w + 8", "c": "k + 14", "e": "c + 3", "y": "e + 1", "r": "y + 5", "j": "r + 19", "w": 11}, "premises": {"w": 11}, "target": "h"}, "answer": {"steps": [["x", "f + 6", "f + 18"], ["f", "m + 20", "m + 38"], ["m", "s + 4", "s + 42"], ["s", "v + 12", "v + 54"], ["v", "w + 6", "w + 60"], ["w", 11, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"w": 11}, "is_reverse": true}} | 15,968 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 20; r = y + 5; m = s + 4; s = v + 12; v = w + 6; c = k + 14; j = r + 19; y = e + 1; k = w + 8; x = f + 6; w = 11; h = x + 12; e = c + 3. If w = 11, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 6 to h, which gives h = f + 18.\n2. Substitute f = m + 20 to h, which gives h = m + 38.\n3. Substitute m = s + 4 to h, which gives h = s + 42.\n4. Substitute s = v + 12 to h, which gives h = v + 54.\n5. Substitute v = w + 6 to h, which gives h = w + 60.\n6. Substitute w = 11 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 15968,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 20; r = y + 5; m = s + 4; s = v + 12; v = w + 6; c = k + 14; j = r + 19; y = e + 1; k = w + 8; x = f + 6; w = 11; h = x + 12; e = c + 3. If w = 11, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 6", "x": "h + 18", "s": "x + 13", "d": "s + 19", "e": "d + 16", "q": "e + 18", "l": "p + 2", "m": "l + 16", "i": "m + 9", "t": "i + 20", "a": "t + 6", "n": "a + 6", "p": 3}, "premises": {"p": 3}, "target": "q"}, "answer": {"steps": [["e", "d + 16", "d + 34"], ["d", "s + 19", "s + 53"], ["s", "x + 13", "x + 66"], ["x", "h + 18", "h + 84"], ["h", "p + 6", "p + 90"], ["p", 3, "93"]], "target_var_name": "q", "target_value": 93, "value_dict": {"p": 3}, "is_reverse": true}} | 15,969 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = m + 9; q = e + 18; t = i + 20; n = a + 6; e = d + 16; l = p + 2; a = t + 6; p = 3; m = l + 16; d = s + 19; h = p + 6; s = x + 13; x = h + 18. If p = 3, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 16 to q, which gives q = d + 34.\n2. Substitute d = s + 19 to q, which gives q = s + 53.\n3. Substitute s = x + 13 to q, which gives q = x + 66.\n4. Substitute x = h + 18 to q, which gives q = h + 84.\n5. Substitute h = p + 6 to q, which gives q = p + 90.\n6. Substitute p = 3 to q, which gives q = 93.\n\nThus, the final answer is q = \\boxed{93}.",
"index": 15969,
"question": "Consider a system of variables where each variable is defined as follows: i = m + 9; q = e + 18; t = i + 20; n = a + 6; e = d + 16; l = p + 2; a = t + 6; p = 3; m = l + 16; d = s + 19; h = p + 6; s = x + 13; x = h + 18. If p = 3, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 16", "y": "e + 12", "m": "y + 14", "c": "m + 13", "k": "c + 16", "l": "k + 9", "q": "i + 19", "o": "q + 4", "h": "o + 17", "z": "h + 16", "j": "z + 13", "w": "j + 1", "i": 10}, "premises": {"i": 10}, "target": "l"}, "answer": {"steps": [["k", "c + 16", "c + 25"], ["c", "m + 13", "m + 38"], ["m", "y + 14", "y + 52"], ["y", "e + 12", "e + 64"], ["e", "i + 16", "i + 80"], ["i", 10, "90"]], "target_var_name": "l", "target_value": 90, "value_dict": {"i": 10}, "is_reverse": true}} | 15,970 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = q + 4; z = h + 16; i = 10; l = k + 9; q = i + 19; e = i + 16; m = y + 14; y = e + 12; h = o + 17; j = z + 13; k = c + 16; c = m + 13; w = j + 1. If i = 10, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 16 to l, which gives l = c + 25.\n2. Substitute c = m + 13 to l, which gives l = m + 38.\n3. Substitute m = y + 14 to l, which gives l = y + 52.\n4. Substitute y = e + 12 to l, which gives l = e + 64.\n5. Substitute e = i + 16 to l, which gives l = i + 80.\n6. Substitute i = 10 to l, which gives l = 90.\n\nThus, the final answer is l = \\boxed{90}.",
"index": 15970,
"question": "Consider a system of variables where each variable is defined as follows: o = q + 4; z = h + 16; i = 10; l = k + 9; q = i + 19; e = i + 16; m = y + 14; y = e + 12; h = o + 17; j = z + 13; k = c + 16; c = m + 13; w = j + 1. If i = 10, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 12", "w": "a + 17", "m": "w + 10", "k": "m + 20", "j": "k + 2", "x": "j + 9", "q": "p + 17", "v": "q + 12", "s": "v + 4", "z": "s + 5", "e": "z + 13", "h": "e + 11", "p": 18}, "premises": {"p": 18}, "target": "x"}, "answer": {"steps": [["j", "k + 2", "k + 11"], ["k", "m + 20", "m + 31"], ["m", "w + 10", "w + 41"], ["w", "a + 17", "a + 58"], ["a", "p + 12", "p + 70"], ["p", 18, "88"]], "target_var_name": "x", "target_value": 88, "value_dict": {"p": 18}, "is_reverse": true}} | 15,971 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 2; h = e + 11; a = p + 12; m = w + 10; z = s + 5; k = m + 20; v = q + 12; p = 18; s = v + 4; w = a + 17; q = p + 17; e = z + 13; x = j + 9. If p = 18, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 2 to x, which gives x = k + 11.\n2. Substitute k = m + 20 to x, which gives x = m + 31.\n3. Substitute m = w + 10 to x, which gives x = w + 41.\n4. Substitute w = a + 17 to x, which gives x = a + 58.\n5. Substitute a = p + 12 to x, which gives x = p + 70.\n6. Substitute p = 18 to x, which gives x = 88.\n\nThus, the final answer is x = \\boxed{88}.",
"index": 15971,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 2; h = e + 11; a = p + 12; m = w + 10; z = s + 5; k = m + 20; v = q + 12; p = 18; s = v + 4; w = a + 17; q = p + 17; e = z + 13; x = j + 9. If p = 18, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 15", "o": "g + 2", "r": "o + 4", "j": "r + 18", "i": "j + 18", "d": "i + 2", "e": "v + 3", "a": "e + 10", "z": "a + 8", "c": "z + 9", "n": "c + 19", "t": "n + 11", "v": 16}, "premises": {"v": 16}, "target": "d"}, "answer": {"steps": [["i", "j + 18", "j + 20"], ["j", "r + 18", "r + 38"], ["r", "o + 4", "o + 42"], ["o", "g + 2", "g + 44"], ["g", "v + 15", "v + 59"], ["v", 16, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"v": 16}, "is_reverse": true}} | 15,972 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = r + 18; c = z + 9; v = 16; t = n + 11; o = g + 2; r = o + 4; g = v + 15; e = v + 3; i = j + 18; z = a + 8; n = c + 19; a = e + 10; d = i + 2. Given that v = 16, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 18 to d, which gives d = j + 20.\n2. Substitute j = r + 18 to d, which gives d = r + 38.\n3. Substitute r = o + 4 to d, which gives d = o + 42.\n4. Substitute o = g + 2 to d, which gives d = g + 44.\n5. Substitute g = v + 15 to d, which gives d = v + 59.\n6. Substitute v = 16 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 15972,
"question": "Suppose a collection of variables is related by the following definitions: j = r + 18; c = z + 9; v = 16; t = n + 11; o = g + 2; r = o + 4; g = v + 15; e = v + 3; i = j + 18; z = a + 8; n = c + 19; a = e + 10; d = i + 2. Given that v = 16, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 16", "i": "z + 12", "m": "i + 3", "f": "m + 19", "x": "f + 4", "d": "x + 8", "t": "l + 18", "k": "t + 15", "j": "k + 6", "c": "j + 8", "q": "c + 11", "g": "q + 20", "l": 9}, "premises": {"l": 9}, "target": "d"}, "answer": {"steps": [["x", "f + 4", "f + 12"], ["f", "m + 19", "m + 31"], ["m", "i + 3", "i + 34"], ["i", "z + 12", "z + 46"], ["z", "l + 16", "l + 62"], ["l", 9, "71"]], "target_var_name": "d", "target_value": 71, "value_dict": {"l": 9}, "is_reverse": true}} | 15,973 | 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 = j + 8; f = m + 19; k = t + 15; j = k + 6; x = f + 4; i = z + 12; l = 9; g = q + 20; z = l + 16; d = x + 8; q = c + 11; m = i + 3; t = l + 18. If l = 9, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 4 to d, which gives d = f + 12.\n2. Substitute f = m + 19 to d, which gives d = m + 31.\n3. Substitute m = i + 3 to d, which gives d = i + 34.\n4. Substitute i = z + 12 to d, which gives d = z + 46.\n5. Substitute z = l + 16 to d, which gives d = l + 62.\n6. Substitute l = 9 to d, which gives d = 71.\n\nThus, the final answer is d = \\boxed{71}.",
"index": 15973,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = j + 8; f = m + 19; k = t + 15; j = k + 6; x = f + 4; i = z + 12; l = 9; g = q + 20; z = l + 16; d = x + 8; q = c + 11; m = i + 3; t = l + 18. If l = 9, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"b": "q + 7", "r": "b + 1", "z": "r + 4", "t": "z + 9", "n": "t + 11", "f": "n + 4", "i": "q + 5", "e": "i + 16", "o": "e + 10", "x": "o + 19", "k": "x + 6", "d": "k + 6", "q": 13}, "premises": {"q": 13}, "target": "f"}, "answer": {"steps": [["n", "t + 11", "t + 15"], ["t", "z + 9", "z + 24"], ["z", "r + 4", "r + 28"], ["r", "b + 1", "b + 29"], ["b", "q + 7", "q + 36"], ["q", 13, "49"]], "target_var_name": "f", "target_value": 49, "value_dict": {"q": 13}, "is_reverse": true}} | 15,974 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = i + 16; z = r + 4; x = o + 19; q = 13; k = x + 6; o = e + 10; r = b + 1; t = z + 9; b = q + 7; i = q + 5; d = k + 6; n = t + 11; f = n + 4. Given that q = 13, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 11 to f, which gives f = t + 15.\n2. Substitute t = z + 9 to f, which gives f = z + 24.\n3. Substitute z = r + 4 to f, which gives f = r + 28.\n4. Substitute r = b + 1 to f, which gives f = b + 29.\n5. Substitute b = q + 7 to f, which gives f = q + 36.\n6. Substitute q = 13 to f, which gives f = 49.\n\nThus, the final answer is f = \\boxed{49}.",
"index": 15974,
"question": "Suppose a collection of variables is related by the following definitions: e = i + 16; z = r + 4; x = o + 19; q = 13; k = x + 6; o = e + 10; r = b + 1; t = z + 9; b = q + 7; i = q + 5; d = k + 6; n = t + 11; f = n + 4. Given that q = 13, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 11", "q": "z + 7", "r": "q + 10", "y": "r + 3", "l": "y + 7", "d": "l + 11", "g": "t + 17", "s": "g + 15", "c": "s + 20", "h": "c + 5", "p": "h + 1", "a": "p + 13", "t": 11}, "premises": {"t": 11}, "target": "d"}, "answer": {"steps": [["l", "y + 7", "y + 18"], ["y", "r + 3", "r + 21"], ["r", "q + 10", "q + 31"], ["q", "z + 7", "z + 38"], ["z", "t + 11", "t + 49"], ["t", 11, "60"]], "target_var_name": "d", "target_value": 60, "value_dict": {"t": 11}, "is_reverse": true}} | 15,975 | 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 = c + 5; r = q + 10; y = r + 3; z = t + 11; d = l + 11; t = 11; g = t + 17; p = h + 1; l = y + 7; c = s + 20; a = p + 13; q = z + 7; s = g + 15. If t = 11, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 7 to d, which gives d = y + 18.\n2. Substitute y = r + 3 to d, which gives d = r + 21.\n3. Substitute r = q + 10 to d, which gives d = q + 31.\n4. Substitute q = z + 7 to d, which gives d = z + 38.\n5. Substitute z = t + 11 to d, which gives d = t + 49.\n6. Substitute t = 11 to d, which gives d = 60.\n\nThus, the final answer is d = \\boxed{60}.",
"index": 15975,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 5; r = q + 10; y = r + 3; z = t + 11; d = l + 11; t = 11; g = t + 17; p = h + 1; l = y + 7; c = s + 20; a = p + 13; q = z + 7; s = g + 15. If t = 11, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"h": "s + 19", "i": "h + 16", "y": "i + 6", "v": "y + 14", "l": "v + 14", "f": "l + 15", "q": "s + 19", "o": "q + 18", "a": "o + 5", "t": "a + 11", "w": "t + 11", "n": "w + 6", "s": 8}, "premises": {"s": 8}, "target": "f"}, "answer": {"steps": [["l", "v + 14", "v + 29"], ["v", "y + 14", "y + 43"], ["y", "i + 6", "i + 49"], ["i", "h + 16", "h + 65"], ["h", "s + 19", "s + 84"], ["s", 8, "92"]], "target_var_name": "f", "target_value": 92, "value_dict": {"s": 8}, "is_reverse": true}} | 15,976 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = w + 6; s = 8; f = l + 15; y = i + 6; i = h + 16; h = s + 19; l = v + 14; q = s + 19; v = y + 14; t = a + 11; a = o + 5; w = t + 11; o = q + 18. Given that s = 8, find 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 l = v + 14 to f, which gives f = v + 29.\n2. Substitute v = y + 14 to f, which gives f = y + 43.\n3. Substitute y = i + 6 to f, which gives f = i + 49.\n4. Substitute i = h + 16 to f, which gives f = h + 65.\n5. Substitute h = s + 19 to f, which gives f = s + 84.\n6. Substitute s = 8 to f, which gives f = 92.\n\nThus, the final answer is f = \\boxed{92}.",
"index": 15976,
"question": "Suppose a collection of variables is related by the following definitions: n = w + 6; s = 8; f = l + 15; y = i + 6; i = h + 16; h = s + 19; l = v + 14; q = s + 19; v = y + 14; t = a + 11; a = o + 5; w = t + 11; o = q + 18. Given that s = 8, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 3", "e": "q + 13", "b": "e + 19", "m": "b + 5", "j": "m + 14", "l": "j + 13", "g": "o + 18", "r": "g + 5", "u": "r + 2", "k": "u + 9", "f": "k + 9", "w": "f + 18", "o": 12}, "premises": {"o": 12}, "target": "l"}, "answer": {"steps": [["j", "m + 14", "m + 27"], ["m", "b + 5", "b + 32"], ["b", "e + 19", "e + 51"], ["e", "q + 13", "q + 64"], ["q", "o + 3", "o + 67"], ["o", 12, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"o": 12}, "is_reverse": true}} | 15,977 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = f + 18; g = o + 18; k = u + 9; b = e + 19; r = g + 5; o = 12; m = b + 5; q = o + 3; l = j + 13; f = k + 9; e = q + 13; u = r + 2; j = m + 14. If o = 12, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 14 to l, which gives l = m + 27.\n2. Substitute m = b + 5 to l, which gives l = b + 32.\n3. Substitute b = e + 19 to l, which gives l = e + 51.\n4. Substitute e = q + 13 to l, which gives l = q + 64.\n5. Substitute q = o + 3 to l, which gives l = o + 67.\n6. Substitute o = 12 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 15977,
"question": "Consider a system of variables where each variable is defined as follows: w = f + 18; g = o + 18; k = u + 9; b = e + 19; r = g + 5; o = 12; m = b + 5; q = o + 3; l = j + 13; f = k + 9; e = q + 13; u = r + 2; j = m + 14. If o = 12, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"b": "k + 6", "r": "b + 5", "v": "r + 4", "y": "v + 12", "h": "y + 10", "d": "h + 13", "g": "k + 2", "s": "g + 11", "f": "s + 5", "u": "f + 1", "a": "u + 11", "l": "a + 16", "k": 13}, "premises": {"k": 13}, "target": "d"}, "answer": {"steps": [["h", "y + 10", "y + 23"], ["y", "v + 12", "v + 35"], ["v", "r + 4", "r + 39"], ["r", "b + 5", "b + 44"], ["b", "k + 6", "k + 50"], ["k", 13, "63"]], "target_var_name": "d", "target_value": 63, "value_dict": {"k": 13}, "is_reverse": true}} | 15,978 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = r + 4; y = v + 12; s = g + 11; d = h + 13; a = u + 11; r = b + 5; f = s + 5; h = y + 10; k = 13; u = f + 1; l = a + 16; g = k + 2; b = k + 6. If k = 13, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 10 to d, which gives d = y + 23.\n2. Substitute y = v + 12 to d, which gives d = v + 35.\n3. Substitute v = r + 4 to d, which gives d = r + 39.\n4. Substitute r = b + 5 to d, which gives d = b + 44.\n5. Substitute b = k + 6 to d, which gives d = k + 50.\n6. Substitute k = 13 to d, which gives d = 63.\n\nThus, the final answer is d = \\boxed{63}.",
"index": 15978,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = r + 4; y = v + 12; s = g + 11; d = h + 13; a = u + 11; r = b + 5; f = s + 5; h = y + 10; k = 13; u = f + 1; l = a + 16; g = k + 2; b = k + 6. If k = 13, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 19", "z": "s + 3", "f": "z + 9", "t": "f + 15", "b": "t + 16", "e": "b + 18", "u": "c + 8", "o": "u + 6", "a": "o + 16", "q": "a + 5", "k": "q + 1", "h": "k + 18", "c": 1}, "premises": {"c": 1}, "target": "e"}, "answer": {"steps": [["b", "t + 16", "t + 34"], ["t", "f + 15", "f + 49"], ["f", "z + 9", "z + 58"], ["z", "s + 3", "s + 61"], ["s", "c + 19", "c + 80"], ["c", 1, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"c": 1}, "is_reverse": true}} | 15,979 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = c + 19; z = s + 3; e = b + 18; f = z + 9; b = t + 16; u = c + 8; c = 1; o = u + 6; h = k + 18; k = q + 1; a = o + 16; q = a + 5; t = f + 15. Given that c = 1, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 16 to e, which gives e = t + 34.\n2. Substitute t = f + 15 to e, which gives e = f + 49.\n3. Substitute f = z + 9 to e, which gives e = z + 58.\n4. Substitute z = s + 3 to e, which gives e = s + 61.\n5. Substitute s = c + 19 to e, which gives e = c + 80.\n6. Substitute c = 1 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 15979,
"question": "Suppose a collection of variables is related by the following definitions: s = c + 19; z = s + 3; e = b + 18; f = z + 9; b = t + 16; u = c + 8; c = 1; o = u + 6; h = k + 18; k = q + 1; a = o + 16; q = a + 5; t = f + 15. Given that c = 1, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 5", "z": "i + 18", "b": "z + 7", "v": "b + 11", "c": "v + 20", "e": "c + 2", "h": "o + 15", "n": "h + 10", "j": "n + 9", "x": "j + 3", "l": "x + 15", "y": "l + 11", "o": 12}, "premises": {"o": 12}, "target": "e"}, "answer": {"steps": [["c", "v + 20", "v + 22"], ["v", "b + 11", "b + 33"], ["b", "z + 7", "z + 40"], ["z", "i + 18", "i + 58"], ["i", "o + 5", "o + 63"], ["o", 12, "75"]], "target_var_name": "e", "target_value": 75, "value_dict": {"o": 12}, "is_reverse": true}} | 15,980 | 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 = z + 7; n = h + 10; c = v + 20; h = o + 15; z = i + 18; i = o + 5; j = n + 9; y = l + 11; v = b + 11; l = x + 15; o = 12; e = c + 2; x = j + 3. If o = 12, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 20 to e, which gives e = v + 22.\n2. Substitute v = b + 11 to e, which gives e = b + 33.\n3. Substitute b = z + 7 to e, which gives e = z + 40.\n4. Substitute z = i + 18 to e, which gives e = i + 58.\n5. Substitute i = o + 5 to e, which gives e = o + 63.\n6. Substitute o = 12 to e, which gives e = 75.\n\nThus, the final answer is e = \\boxed{75}.",
"index": 15980,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = z + 7; n = h + 10; c = v + 20; h = o + 15; z = i + 18; i = o + 5; j = n + 9; y = l + 11; v = b + 11; l = x + 15; o = 12; e = c + 2; x = j + 3. If o = 12, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 9", "e": "v + 17", "j": "e + 17", "y": "j + 20", "m": "y + 10", "r": "m + 12", "s": "n + 6", "d": "s + 3", "z": "d + 13", "c": "z + 12", "p": "c + 20", "h": "p + 8", "n": 18}, "premises": {"n": 18}, "target": "r"}, "answer": {"steps": [["m", "y + 10", "y + 22"], ["y", "j + 20", "j + 42"], ["j", "e + 17", "e + 59"], ["e", "v + 17", "v + 76"], ["v", "n + 9", "n + 85"], ["n", 18, "103"]], "target_var_name": "r", "target_value": 103, "value_dict": {"n": 18}, "is_reverse": true}} | 15,981 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = n + 6; y = j + 20; d = s + 3; r = m + 12; h = p + 8; j = e + 17; p = c + 20; v = n + 9; n = 18; c = z + 12; z = d + 13; e = v + 17; m = y + 10. If n = 18, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 10 to r, which gives r = y + 22.\n2. Substitute y = j + 20 to r, which gives r = j + 42.\n3. Substitute j = e + 17 to r, which gives r = e + 59.\n4. Substitute e = v + 17 to r, which gives r = v + 76.\n5. Substitute v = n + 9 to r, which gives r = n + 85.\n6. Substitute n = 18 to r, which gives r = 103.\n\nThus, the final answer is r = \\boxed{103}.",
"index": 15981,
"question": "Consider a system of variables where each variable is defined as follows: s = n + 6; y = j + 20; d = s + 3; r = m + 12; h = p + 8; j = e + 17; p = c + 20; v = n + 9; n = 18; c = z + 12; z = d + 13; e = v + 17; m = y + 10. If n = 18, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"h": "i + 10", "s": "h + 13", "j": "s + 6", "q": "j + 11", "f": "q + 8", "z": "f + 2", "u": "i + 5", "p": "u + 17", "d": "p + 12", "k": "d + 16", "t": "k + 17", "n": "t + 19", "i": 13}, "premises": {"i": 13}, "target": "z"}, "answer": {"steps": [["f", "q + 8", "q + 10"], ["q", "j + 11", "j + 21"], ["j", "s + 6", "s + 27"], ["s", "h + 13", "h + 40"], ["h", "i + 10", "i + 50"], ["i", 13, "63"]], "target_var_name": "z", "target_value": 63, "value_dict": {"i": 13}, "is_reverse": true}} | 15,982 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = j + 11; p = u + 17; s = h + 13; n = t + 19; k = d + 16; u = i + 5; j = s + 6; t = k + 17; f = q + 8; d = p + 12; h = i + 10; z = f + 2; i = 13. If i = 13, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 8 to z, which gives z = q + 10.\n2. Substitute q = j + 11 to z, which gives z = j + 21.\n3. Substitute j = s + 6 to z, which gives z = s + 27.\n4. Substitute s = h + 13 to z, which gives z = h + 40.\n5. Substitute h = i + 10 to z, which gives z = i + 50.\n6. Substitute i = 13 to z, which gives z = 63.\n\nThus, the final answer is z = \\boxed{63}.",
"index": 15982,
"question": "Consider a system of variables where each variable is defined as follows: q = j + 11; p = u + 17; s = h + 13; n = t + 19; k = d + 16; u = i + 5; j = s + 6; t = k + 17; f = q + 8; d = p + 12; h = i + 10; z = f + 2; i = 13. If i = 13, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 8", "p": "l + 20", "c": "p + 11", "i": "c + 9", "b": "i + 2", "t": "b + 18", "r": "x + 3", "d": "r + 19", "o": "d + 2", "h": "o + 5", "w": "h + 6", "k": "w + 12", "x": 13}, "premises": {"x": 13}, "target": "t"}, "answer": {"steps": [["b", "i + 2", "i + 20"], ["i", "c + 9", "c + 29"], ["c", "p + 11", "p + 40"], ["p", "l + 20", "l + 60"], ["l", "x + 8", "x + 68"], ["x", 13, "81"]], "target_var_name": "t", "target_value": 81, "value_dict": {"x": 13}, "is_reverse": true}} | 15,983 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = d + 2; h = o + 5; i = c + 9; x = 13; c = p + 11; b = i + 2; p = l + 20; w = h + 6; l = x + 8; r = x + 3; d = r + 19; k = w + 12; t = b + 18. If x = 13, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 2 to t, which gives t = i + 20.\n2. Substitute i = c + 9 to t, which gives t = c + 29.\n3. Substitute c = p + 11 to t, which gives t = p + 40.\n4. Substitute p = l + 20 to t, which gives t = l + 60.\n5. Substitute l = x + 8 to t, which gives t = x + 68.\n6. Substitute x = 13 to t, which gives t = 81.\n\nThus, the final answer is t = \\boxed{81}.",
"index": 15983,
"question": "Consider a system of variables where each variable is defined as follows: o = d + 2; h = o + 5; i = c + 9; x = 13; c = p + 11; b = i + 2; p = l + 20; w = h + 6; l = x + 8; r = x + 3; d = r + 19; k = w + 12; t = b + 18. If x = 13, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 12", "j": "m + 2", "o": "j + 4", "l": "o + 12", "h": "l + 16", "f": "h + 20", "c": "t + 1", "e": "c + 5", "n": "e + 11", "z": "n + 1", "a": "z + 11", "p": "a + 13", "t": 1}, "premises": {"t": 1}, "target": "f"}, "answer": {"steps": [["h", "l + 16", "l + 36"], ["l", "o + 12", "o + 48"], ["o", "j + 4", "j + 52"], ["j", "m + 2", "m + 54"], ["m", "t + 12", "t + 66"], ["t", 1, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"t": 1}, "is_reverse": true}} | 15,984 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = h + 20; p = a + 13; t = 1; z = n + 1; o = j + 4; h = l + 16; m = t + 12; l = o + 12; n = e + 11; a = z + 11; j = m + 2; e = c + 5; c = t + 1. If t = 1, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 16 to f, which gives f = l + 36.\n2. Substitute l = o + 12 to f, which gives f = o + 48.\n3. Substitute o = j + 4 to f, which gives f = j + 52.\n4. Substitute j = m + 2 to f, which gives f = m + 54.\n5. Substitute m = t + 12 to f, which gives f = t + 66.\n6. Substitute t = 1 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 15984,
"question": "Consider a system of variables where each variable is defined as follows: f = h + 20; p = a + 13; t = 1; z = n + 1; o = j + 4; h = l + 16; m = t + 12; l = o + 12; n = e + 11; a = z + 11; j = m + 2; e = c + 5; c = t + 1. If t = 1, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 7", "m": "d + 2", "i": "m + 16", "j": "i + 18", "v": "j + 14", "o": "v + 6", "c": "a + 14", "f": "c + 7", "p": "f + 17", "q": "p + 10", "h": "q + 14", "n": "h + 16", "a": 4}, "premises": {"a": 4}, "target": "o"}, "answer": {"steps": [["v", "j + 14", "j + 20"], ["j", "i + 18", "i + 38"], ["i", "m + 16", "m + 54"], ["m", "d + 2", "d + 56"], ["d", "a + 7", "a + 63"], ["a", 4, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"a": 4}, "is_reverse": true}} | 15,985 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = c + 7; q = p + 10; j = i + 18; h = q + 14; v = j + 14; o = v + 6; a = 4; i = m + 16; p = f + 17; n = h + 16; c = a + 14; m = d + 2; d = a + 7. Given that a = 4, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 14 to o, which gives o = j + 20.\n2. Substitute j = i + 18 to o, which gives o = i + 38.\n3. Substitute i = m + 16 to o, which gives o = m + 54.\n4. Substitute m = d + 2 to o, which gives o = d + 56.\n5. Substitute d = a + 7 to o, which gives o = a + 63.\n6. Substitute a = 4 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 15985,
"question": "Suppose a collection of variables is related by the following definitions: f = c + 7; q = p + 10; j = i + 18; h = q + 14; v = j + 14; o = v + 6; a = 4; i = m + 16; p = f + 17; n = h + 16; c = a + 14; m = d + 2; d = a + 7. Given that a = 4, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 1", "i": "n + 18", "r": "i + 9", "f": "r + 6", "b": "f + 14", "q": "b + 4", "l": "v + 4", "g": "l + 13", "e": "g + 17", "o": "e + 15", "c": "o + 8", "u": "c + 7", "v": 20}, "premises": {"v": 20}, "target": "q"}, "answer": {"steps": [["b", "f + 14", "f + 18"], ["f", "r + 6", "r + 24"], ["r", "i + 9", "i + 33"], ["i", "n + 18", "n + 51"], ["n", "v + 1", "v + 52"], ["v", 20, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"v": 20}, "is_reverse": true}} | 15,986 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 15; r = i + 9; g = l + 13; v = 20; b = f + 14; q = b + 4; e = g + 17; u = c + 7; l = v + 4; i = n + 18; c = o + 8; n = v + 1; f = r + 6. If v = 20, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 14 to q, which gives q = f + 18.\n2. Substitute f = r + 6 to q, which gives q = r + 24.\n3. Substitute r = i + 9 to q, which gives q = i + 33.\n4. Substitute i = n + 18 to q, which gives q = n + 51.\n5. Substitute n = v + 1 to q, which gives q = v + 52.\n6. Substitute v = 20 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 15986,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 15; r = i + 9; g = l + 13; v = 20; b = f + 14; q = b + 4; e = g + 17; u = c + 7; l = v + 4; i = n + 18; c = o + 8; n = v + 1; f = r + 6. If v = 20, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 11", "n": "o + 20", "b": "n + 10", "q": "b + 1", "k": "q + 17", "t": "k + 15", "e": "h + 1", "z": "e + 6", "d": "z + 1", "v": "d + 9", "u": "v + 17", "w": "u + 4", "h": 13}, "premises": {"h": 13}, "target": "t"}, "answer": {"steps": [["k", "q + 17", "q + 32"], ["q", "b + 1", "b + 33"], ["b", "n + 10", "n + 43"], ["n", "o + 20", "o + 63"], ["o", "h + 11", "h + 74"], ["h", 13, "87"]], "target_var_name": "t", "target_value": 87, "value_dict": {"h": 13}, "is_reverse": true}} | 15,987 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = d + 9; q = b + 1; b = n + 10; h = 13; t = k + 15; e = h + 1; u = v + 17; k = q + 17; o = h + 11; d = z + 1; w = u + 4; n = o + 20; z = e + 6. Given that h = 13, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 17 to t, which gives t = q + 32.\n2. Substitute q = b + 1 to t, which gives t = b + 33.\n3. Substitute b = n + 10 to t, which gives t = n + 43.\n4. Substitute n = o + 20 to t, which gives t = o + 63.\n5. Substitute o = h + 11 to t, which gives t = h + 74.\n6. Substitute h = 13 to t, which gives t = 87.\n\nThus, the final answer is t = \\boxed{87}.",
"index": 15987,
"question": "Suppose a collection of variables is related by the following definitions: v = d + 9; q = b + 1; b = n + 10; h = 13; t = k + 15; e = h + 1; u = v + 17; k = q + 17; o = h + 11; d = z + 1; w = u + 4; n = o + 20; z = e + 6. Given that h = 13, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"j": "w + 16", "m": "j + 18", "v": "m + 1", "y": "v + 6", "t": "y + 6", "f": "t + 13", "x": "w + 16", "a": "x + 14", "k": "a + 2", "n": "k + 5", "e": "n + 2", "z": "e + 19", "w": 11}, "premises": {"w": 11}, "target": "f"}, "answer": {"steps": [["t", "y + 6", "y + 19"], ["y", "v + 6", "v + 25"], ["v", "m + 1", "m + 26"], ["m", "j + 18", "j + 44"], ["j", "w + 16", "w + 60"], ["w", 11, "71"]], "target_var_name": "f", "target_value": 71, "value_dict": {"w": 11}, "is_reverse": true}} | 15,988 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = n + 2; k = a + 2; n = k + 5; w = 11; v = m + 1; z = e + 19; y = v + 6; t = y + 6; j = w + 16; x = w + 16; f = t + 13; a = x + 14; m = j + 18. Given that w = 11, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 6 to f, which gives f = y + 19.\n2. Substitute y = v + 6 to f, which gives f = v + 25.\n3. Substitute v = m + 1 to f, which gives f = m + 26.\n4. Substitute m = j + 18 to f, which gives f = j + 44.\n5. Substitute j = w + 16 to f, which gives f = w + 60.\n6. Substitute w = 11 to f, which gives f = 71.\n\nThus, the final answer is f = \\boxed{71}.",
"index": 15988,
"question": "Suppose a collection of variables is related by the following definitions: e = n + 2; k = a + 2; n = k + 5; w = 11; v = m + 1; z = e + 19; y = v + 6; t = y + 6; j = w + 16; x = w + 16; f = t + 13; a = x + 14; m = j + 18. Given that w = 11, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 2", "n": "q + 5", "u": "n + 16", "b": "u + 16", "y": "b + 16", "m": "y + 11", "t": "j + 15", "k": "t + 5", "v": "k + 17", "i": "v + 17", "r": "i + 20", "d": "r + 12", "j": 8}, "premises": {"j": 8}, "target": "m"}, "answer": {"steps": [["y", "b + 16", "b + 27"], ["b", "u + 16", "u + 43"], ["u", "n + 16", "n + 59"], ["n", "q + 5", "q + 64"], ["q", "j + 2", "j + 66"], ["j", 8, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"j": 8}, "is_reverse": true}} | 15,989 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = k + 17; t = j + 15; i = v + 17; q = j + 2; k = t + 5; y = b + 16; b = u + 16; m = y + 11; u = n + 16; d = r + 12; j = 8; n = q + 5; r = i + 20. If j = 8, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 16 to m, which gives m = b + 27.\n2. Substitute b = u + 16 to m, which gives m = u + 43.\n3. Substitute u = n + 16 to m, which gives m = n + 59.\n4. Substitute n = q + 5 to m, which gives m = q + 64.\n5. Substitute q = j + 2 to m, which gives m = j + 66.\n6. Substitute j = 8 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 15989,
"question": "Consider a system of variables where each variable is defined as follows: v = k + 17; t = j + 15; i = v + 17; q = j + 2; k = t + 5; y = b + 16; b = u + 16; m = y + 11; u = n + 16; d = r + 12; j = 8; n = q + 5; r = i + 20. If j = 8, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"a": "w + 10", "d": "a + 14", "f": "d + 3", "o": "f + 5", "x": "o + 14", "c": "x + 11", "t": "w + 8", "i": "t + 8", "q": "i + 14", "z": "q + 9", "v": "z + 19", "b": "v + 1", "w": 13}, "premises": {"w": 13}, "target": "c"}, "answer": {"steps": [["x", "o + 14", "o + 25"], ["o", "f + 5", "f + 30"], ["f", "d + 3", "d + 33"], ["d", "a + 14", "a + 47"], ["a", "w + 10", "w + 57"], ["w", 13, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"w": 13}, "is_reverse": true}} | 15,990 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 8; d = a + 14; x = o + 14; a = w + 10; w = 13; v = z + 19; o = f + 5; f = d + 3; i = t + 8; c = x + 11; q = i + 14; z = q + 9; b = v + 1. Given that w = 13, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 14 to c, which gives c = o + 25.\n2. Substitute o = f + 5 to c, which gives c = f + 30.\n3. Substitute f = d + 3 to c, which gives c = d + 33.\n4. Substitute d = a + 14 to c, which gives c = a + 47.\n5. Substitute a = w + 10 to c, which gives c = w + 57.\n6. Substitute w = 13 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 15990,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 8; d = a + 14; x = o + 14; a = w + 10; w = 13; v = z + 19; o = f + 5; f = d + 3; i = t + 8; c = x + 11; q = i + 14; z = q + 9; b = v + 1. Given that w = 13, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 18", "m": "e + 17", "d": "m + 12", "h": "d + 8", "o": "h + 20", "f": "o + 8", "j": "g + 20", "v": "j + 11", "c": "v + 14", "q": "c + 19", "l": "q + 7", "z": "l + 4", "g": 10}, "premises": {"g": 10}, "target": "f"}, "answer": {"steps": [["o", "h + 20", "h + 28"], ["h", "d + 8", "d + 36"], ["d", "m + 12", "m + 48"], ["m", "e + 17", "e + 65"], ["e", "g + 18", "g + 83"], ["g", 10, "93"]], "target_var_name": "f", "target_value": 93, "value_dict": {"g": 10}, "is_reverse": true}} | 15,991 | 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 = v + 14; d = m + 12; j = g + 20; v = j + 11; q = c + 19; m = e + 17; z = l + 4; e = g + 18; g = 10; o = h + 20; f = o + 8; l = q + 7; h = d + 8. If g = 10, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 20 to f, which gives f = h + 28.\n2. Substitute h = d + 8 to f, which gives f = d + 36.\n3. Substitute d = m + 12 to f, which gives f = m + 48.\n4. Substitute m = e + 17 to f, which gives f = e + 65.\n5. Substitute e = g + 18 to f, which gives f = g + 83.\n6. Substitute g = 10 to f, which gives f = 93.\n\nThus, the final answer is f = \\boxed{93}.",
"index": 15991,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = v + 14; d = m + 12; j = g + 20; v = j + 11; q = c + 19; m = e + 17; z = l + 4; e = g + 18; g = 10; o = h + 20; f = o + 8; l = q + 7; h = d + 8. If g = 10, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 17", "f": "h + 4", "b": "f + 20", "y": "b + 9", "o": "y + 1", "d": "o + 8", "e": "w + 1", "q": "e + 7", "c": "q + 11", "s": "c + 20", "x": "s + 9", "g": "x + 18", "w": 3}, "premises": {"w": 3}, "target": "d"}, "answer": {"steps": [["o", "y + 1", "y + 9"], ["y", "b + 9", "b + 18"], ["b", "f + 20", "f + 38"], ["f", "h + 4", "h + 42"], ["h", "w + 17", "w + 59"], ["w", 3, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"w": 3}, "is_reverse": true}} | 15,992 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = q + 11; h = w + 17; o = y + 1; d = o + 8; w = 3; y = b + 9; b = f + 20; s = c + 20; g = x + 18; e = w + 1; f = h + 4; x = s + 9; q = e + 7. If w = 3, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 1 to d, which gives d = y + 9.\n2. Substitute y = b + 9 to d, which gives d = b + 18.\n3. Substitute b = f + 20 to d, which gives d = f + 38.\n4. Substitute f = h + 4 to d, which gives d = h + 42.\n5. Substitute h = w + 17 to d, which gives d = w + 59.\n6. Substitute w = 3 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 15992,
"question": "Consider a system of variables where each variable is defined as follows: c = q + 11; h = w + 17; o = y + 1; d = o + 8; w = 3; y = b + 9; b = f + 20; s = c + 20; g = x + 18; e = w + 1; f = h + 4; x = s + 9; q = e + 7. If w = 3, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 20", "p": "h + 14", "q": "p + 8", "f": "q + 19", "w": "f + 4", "i": "w + 1", "u": "j + 20", "c": "u + 4", "o": "c + 15", "v": "o + 12", "m": "v + 19", "n": "m + 5", "j": 17}, "premises": {"j": 17}, "target": "i"}, "answer": {"steps": [["w", "f + 4", "f + 5"], ["f", "q + 19", "q + 24"], ["q", "p + 8", "p + 32"], ["p", "h + 14", "h + 46"], ["h", "j + 20", "j + 66"], ["j", 17, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"j": 17}, "is_reverse": true}} | 15,993 | 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 = w + 1; u = j + 20; w = f + 4; f = q + 19; n = m + 5; j = 17; h = j + 20; o = c + 15; m = v + 19; p = h + 14; c = u + 4; v = o + 12; q = p + 8. If j = 17, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 4 to i, which gives i = f + 5.\n2. Substitute f = q + 19 to i, which gives i = q + 24.\n3. Substitute q = p + 8 to i, which gives i = p + 32.\n4. Substitute p = h + 14 to i, which gives i = h + 46.\n5. Substitute h = j + 20 to i, which gives i = j + 66.\n6. Substitute j = 17 to i, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 15993,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = w + 1; u = j + 20; w = f + 4; f = q + 19; n = m + 5; j = 17; h = j + 20; o = c + 15; m = v + 19; p = h + 14; c = u + 4; v = o + 12; q = p + 8. If j = 17, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 15", "u": "w + 10", "t": "u + 12", "g": "t + 7", "q": "g + 18", "y": "q + 10", "f": "s + 17", "n": "f + 11", "c": "n + 4", "j": "c + 3", "l": "j + 6", "r": "l + 18", "s": 13}, "premises": {"s": 13}, "target": "y"}, "answer": {"steps": [["q", "g + 18", "g + 28"], ["g", "t + 7", "t + 35"], ["t", "u + 12", "u + 47"], ["u", "w + 10", "w + 57"], ["w", "s + 15", "s + 72"], ["s", 13, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"s": 13}, "is_reverse": true}} | 15,994 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = s + 15; g = t + 7; u = w + 10; j = c + 3; y = q + 10; c = n + 4; q = g + 18; r = l + 18; f = s + 17; t = u + 12; s = 13; l = j + 6; n = f + 11. If s = 13, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 18 to y, which gives y = g + 28.\n2. Substitute g = t + 7 to y, which gives y = t + 35.\n3. Substitute t = u + 12 to y, which gives y = u + 47.\n4. Substitute u = w + 10 to y, which gives y = w + 57.\n5. Substitute w = s + 15 to y, which gives y = s + 72.\n6. Substitute s = 13 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 15994,
"question": "Consider a system of variables where each variable is defined as follows: w = s + 15; g = t + 7; u = w + 10; j = c + 3; y = q + 10; c = n + 4; q = g + 18; r = l + 18; f = s + 17; t = u + 12; s = 13; l = j + 6; n = f + 11. If s = 13, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 10", "b": "c + 17", "g": "b + 6", "r": "g + 12", "u": "r + 20", "z": "u + 14", "a": "q + 1", "h": "a + 5", "o": "h + 12", "y": "o + 20", "n": "y + 16", "t": "n + 9", "q": 15}, "premises": {"q": 15}, "target": "z"}, "answer": {"steps": [["u", "r + 20", "r + 34"], ["r", "g + 12", "g + 46"], ["g", "b + 6", "b + 52"], ["b", "c + 17", "c + 69"], ["c", "q + 10", "q + 79"], ["q", 15, "94"]], "target_var_name": "z", "target_value": 94, "value_dict": {"q": 15}, "is_reverse": true}} | 15,995 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 5; t = n + 9; z = u + 14; u = r + 20; r = g + 12; o = h + 12; n = y + 16; c = q + 10; g = b + 6; a = q + 1; y = o + 20; b = c + 17; q = 15. If q = 15, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 20 to z, which gives z = r + 34.\n2. Substitute r = g + 12 to z, which gives z = g + 46.\n3. Substitute g = b + 6 to z, which gives z = b + 52.\n4. Substitute b = c + 17 to z, which gives z = c + 69.\n5. Substitute c = q + 10 to z, which gives z = q + 79.\n6. Substitute q = 15 to z, which gives z = 94.\n\nThus, the final answer is z = \\boxed{94}.",
"index": 15995,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 5; t = n + 9; z = u + 14; u = r + 20; r = g + 12; o = h + 12; n = y + 16; c = q + 10; g = b + 6; a = q + 1; y = o + 20; b = c + 17; q = 15. If q = 15, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 13", "o": "t + 17", "k": "o + 7", "q": "k + 11", "m": "q + 5", "l": "m + 13", "i": "w + 20", "n": "i + 17", "r": "n + 14", "z": "r + 6", "y": "z + 16", "s": "y + 19", "w": 20}, "premises": {"w": 20}, "target": "l"}, "answer": {"steps": [["m", "q + 5", "q + 18"], ["q", "k + 11", "k + 29"], ["k", "o + 7", "o + 36"], ["o", "t + 17", "t + 53"], ["t", "w + 13", "w + 66"], ["w", 20, "86"]], "target_var_name": "l", "target_value": 86, "value_dict": {"w": 20}, "is_reverse": true}} | 15,996 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = z + 16; t = w + 13; i = w + 20; r = n + 14; s = y + 19; o = t + 17; l = m + 13; n = i + 17; q = k + 11; w = 20; m = q + 5; k = o + 7; z = r + 6. If w = 20, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 5 to l, which gives l = q + 18.\n2. Substitute q = k + 11 to l, which gives l = k + 29.\n3. Substitute k = o + 7 to l, which gives l = o + 36.\n4. Substitute o = t + 17 to l, which gives l = t + 53.\n5. Substitute t = w + 13 to l, which gives l = w + 66.\n6. Substitute w = 20 to l, which gives l = 86.\n\nThus, the final answer is l = \\boxed{86}.",
"index": 15996,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = z + 16; t = w + 13; i = w + 20; r = n + 14; s = y + 19; o = t + 17; l = m + 13; n = i + 17; q = k + 11; w = 20; m = q + 5; k = o + 7; z = r + 6. If w = 20, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 4", "c": "j + 12", "p": "c + 4", "n": "p + 13", "w": "n + 15", "u": "w + 14", "o": "v + 13", "e": "o + 16", "l": "e + 11", "t": "l + 19", "h": "t + 6", "i": "h + 8", "v": 18}, "premises": {"v": 18}, "target": "u"}, "answer": {"steps": [["w", "n + 15", "n + 29"], ["n", "p + 13", "p + 42"], ["p", "c + 4", "c + 46"], ["c", "j + 12", "j + 58"], ["j", "v + 4", "v + 62"], ["v", 18, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"v": 18}, "is_reverse": true}} | 15,997 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = h + 8; h = t + 6; o = v + 13; e = o + 16; u = w + 14; c = j + 12; j = v + 4; w = n + 15; t = l + 19; l = e + 11; v = 18; p = c + 4; n = p + 13. Given that v = 18, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 15 to u, which gives u = n + 29.\n2. Substitute n = p + 13 to u, which gives u = p + 42.\n3. Substitute p = c + 4 to u, which gives u = c + 46.\n4. Substitute c = j + 12 to u, which gives u = j + 58.\n5. Substitute j = v + 4 to u, which gives u = v + 62.\n6. Substitute v = 18 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 15997,
"question": "Suppose a collection of variables is related by the following definitions: i = h + 8; h = t + 6; o = v + 13; e = o + 16; u = w + 14; c = j + 12; j = v + 4; w = n + 15; t = l + 19; l = e + 11; v = 18; p = c + 4; n = p + 13. Given that v = 18, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 1", "v": "b + 2", "j": "v + 11", "a": "j + 16", "k": "a + 17", "w": "k + 3", "q": "p + 11", "e": "q + 1", "u": "e + 15", "s": "u + 10", "i": "s + 4", "y": "i + 9", "p": 14}, "premises": {"p": 14}, "target": "w"}, "answer": {"steps": [["k", "a + 17", "a + 20"], ["a", "j + 16", "j + 36"], ["j", "v + 11", "v + 47"], ["v", "b + 2", "b + 49"], ["b", "p + 1", "p + 50"], ["p", 14, "64"]], "target_var_name": "w", "target_value": 64, "value_dict": {"p": 14}, "is_reverse": true}} | 15,998 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 11; y = i + 9; i = s + 4; w = k + 3; b = p + 1; u = e + 15; p = 14; s = u + 10; k = a + 17; v = b + 2; e = q + 1; q = p + 11; a = j + 16. If p = 14, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 17 to w, which gives w = a + 20.\n2. Substitute a = j + 16 to w, which gives w = j + 36.\n3. Substitute j = v + 11 to w, which gives w = v + 47.\n4. Substitute v = b + 2 to w, which gives w = b + 49.\n5. Substitute b = p + 1 to w, which gives w = p + 50.\n6. Substitute p = 14 to w, which gives w = 64.\n\nThus, the final answer is w = \\boxed{64}.",
"index": 15998,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 11; y = i + 9; i = s + 4; w = k + 3; b = p + 1; u = e + 15; p = 14; s = u + 10; k = a + 17; v = b + 2; e = q + 1; q = p + 11; a = j + 16. If p = 14, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 1", "b": "n + 11", "y": "b + 17", "i": "y + 8", "l": "i + 14", "g": "l + 5", "d": "q + 1", "s": "d + 11", "e": "s + 20", "c": "e + 11", "z": "c + 2", "r": "z + 17", "q": 1}, "premises": {"q": 1}, "target": "g"}, "answer": {"steps": [["l", "i + 14", "i + 19"], ["i", "y + 8", "y + 27"], ["y", "b + 17", "b + 44"], ["b", "n + 11", "n + 55"], ["n", "q + 1", "q + 56"], ["q", 1, "57"]], "target_var_name": "g", "target_value": 57, "value_dict": {"q": 1}, "is_reverse": true}} | 15,999 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = z + 17; b = n + 11; c = e + 11; d = q + 1; n = q + 1; g = l + 5; i = y + 8; q = 1; e = s + 20; l = i + 14; y = b + 17; z = c + 2; s = d + 11. Given that q = 1, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 14 to g, which gives g = i + 19.\n2. Substitute i = y + 8 to g, which gives g = y + 27.\n3. Substitute y = b + 17 to g, which gives g = b + 44.\n4. Substitute b = n + 11 to g, which gives g = n + 55.\n5. Substitute n = q + 1 to g, which gives g = q + 56.\n6. Substitute q = 1 to g, which gives g = 57.\n\nThus, the final answer is g = \\boxed{57}.",
"index": 15999,
"question": "Suppose a collection of variables is related by the following definitions: r = z + 17; b = n + 11; c = e + 11; d = q + 1; n = q + 1; g = l + 5; i = y + 8; q = 1; e = s + 20; l = i + 14; y = b + 17; z = c + 2; s = d + 11. Given that q = 1, find the value of g.",
"split": "train"
} |
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