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": {"r": "d + 9", "h": "r + 5", "y": "h + 14", "a": "y + 8", "e": "a + 18", "b": "e + 16", "f": "d + 1", "t": "f + 6", "j": "t + 8", "q": "j + 3", "n": "q + 2", "v": "n + 5", "d": 7}, "premises": {"d": 7}, "target": "b"}, "answer": {"steps": [["e", "a + 18", "a + 34"], ["a", "y + 8", "y + 42"], ["y", "h + 14", "h + 56"], ["h", "r + 5", "r + 61"], ["r", "d + 9", "d + 70"], ["d", 7, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"d": 7}, "is_reverse": true}} | 16,900 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = d + 1; h = r + 5; a = y + 8; j = t + 8; v = n + 5; y = h + 14; b = e + 16; e = a + 18; r = d + 9; d = 7; t = f + 6; n = q + 2; q = j + 3. Given that d = 7, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 18 to b, which gives b = a + 34.\n2. Substitute a = y + 8 to b, which gives b = y + 42.\n3. Substitute y = h + 14 to b, which gives b = h + 56.\n4. Substitute h = r + 5 to b, which gives b = r + 61.\n5. Substitute r = d + 9 to b, which gives b = d + 70.\n6. Substitute d = 7 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 16900,
"question": "Suppose a collection of variables is related by the following definitions: f = d + 1; h = r + 5; a = y + 8; j = t + 8; v = n + 5; y = h + 14; b = e + 16; e = a + 18; r = d + 9; d = 7; t = f + 6; n = q + 2; q = j + 3. Given that d = 7, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 1", "n": "t + 19", "j": "n + 1", "m": "j + 1", "o": "m + 18", "a": "o + 7", "r": "u + 12", "f": "r + 16", "y": "f + 10", "w": "y + 14", "b": "w + 2", "d": "b + 4", "u": 9}, "premises": {"u": 9}, "target": "a"}, "answer": {"steps": [["o", "m + 18", "m + 25"], ["m", "j + 1", "j + 26"], ["j", "n + 1", "n + 27"], ["n", "t + 19", "t + 46"], ["t", "u + 1", "u + 47"], ["u", 9, "56"]], "target_var_name": "a", "target_value": 56, "value_dict": {"u": 9}, "is_reverse": true}} | 16,901 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = m + 18; n = t + 19; f = r + 16; j = n + 1; m = j + 1; u = 9; r = u + 12; d = b + 4; y = f + 10; b = w + 2; t = u + 1; w = y + 14; a = o + 7. If u = 9, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 18 to a, which gives a = m + 25.\n2. Substitute m = j + 1 to a, which gives a = j + 26.\n3. Substitute j = n + 1 to a, which gives a = n + 27.\n4. Substitute n = t + 19 to a, which gives a = t + 46.\n5. Substitute t = u + 1 to a, which gives a = u + 47.\n6. Substitute u = 9 to a, which gives a = 56.\n\nThus, the final answer is a = \\boxed{56}.",
"index": 16901,
"question": "Consider a system of variables where each variable is defined as follows: o = m + 18; n = t + 19; f = r + 16; j = n + 1; m = j + 1; u = 9; r = u + 12; d = b + 4; y = f + 10; b = w + 2; t = u + 1; w = y + 14; a = o + 7. If u = 9, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 11", "f": "o + 2", "w": "f + 13", "c": "w + 10", "s": "c + 6", "y": "s + 8", "p": "d + 8", "v": "p + 12", "e": "v + 1", "u": "e + 13", "n": "u + 20", "t": "n + 13", "d": 1}, "premises": {"d": 1}, "target": "y"}, "answer": {"steps": [["s", "c + 6", "c + 14"], ["c", "w + 10", "w + 24"], ["w", "f + 13", "f + 37"], ["f", "o + 2", "o + 39"], ["o", "d + 11", "d + 50"], ["d", 1, "51"]], "target_var_name": "y", "target_value": 51, "value_dict": {"d": 1}, "is_reverse": true}} | 16,902 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 1; s = c + 6; w = f + 13; p = d + 8; u = e + 13; y = s + 8; v = p + 12; o = d + 11; f = o + 2; n = u + 20; d = 1; t = n + 13; c = w + 10. If d = 1, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 6 to y, which gives y = c + 14.\n2. Substitute c = w + 10 to y, which gives y = w + 24.\n3. Substitute w = f + 13 to y, which gives y = f + 37.\n4. Substitute f = o + 2 to y, which gives y = o + 39.\n5. Substitute o = d + 11 to y, which gives y = d + 50.\n6. Substitute d = 1 to y, which gives y = 51.\n\nThus, the final answer is y = \\boxed{51}.",
"index": 16902,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 1; s = c + 6; w = f + 13; p = d + 8; u = e + 13; y = s + 8; v = p + 12; o = d + 11; f = o + 2; n = u + 20; d = 1; t = n + 13; c = w + 10. If d = 1, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 16", "z": "v + 4", "r": "z + 12", "a": "r + 10", "y": "a + 3", "k": "y + 15", "x": "c + 20", "l": "x + 15", "e": "l + 18", "h": "e + 4", "b": "h + 18", "i": "b + 1", "c": 8}, "premises": {"c": 8}, "target": "k"}, "answer": {"steps": [["y", "a + 3", "a + 18"], ["a", "r + 10", "r + 28"], ["r", "z + 12", "z + 40"], ["z", "v + 4", "v + 44"], ["v", "c + 16", "c + 60"], ["c", 8, "68"]], "target_var_name": "k", "target_value": 68, "value_dict": {"c": 8}, "is_reverse": true}} | 16,903 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = x + 15; x = c + 20; v = c + 16; h = e + 4; k = y + 15; y = a + 3; e = l + 18; r = z + 12; c = 8; a = r + 10; z = v + 4; i = b + 1; b = h + 18. Given that c = 8, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 3 to k, which gives k = a + 18.\n2. Substitute a = r + 10 to k, which gives k = r + 28.\n3. Substitute r = z + 12 to k, which gives k = z + 40.\n4. Substitute z = v + 4 to k, which gives k = v + 44.\n5. Substitute v = c + 16 to k, which gives k = c + 60.\n6. Substitute c = 8 to k, which gives k = 68.\n\nThus, the final answer is k = \\boxed{68}.",
"index": 16903,
"question": "Suppose a collection of variables is related by the following definitions: l = x + 15; x = c + 20; v = c + 16; h = e + 4; k = y + 15; y = a + 3; e = l + 18; r = z + 12; c = 8; a = r + 10; z = v + 4; i = b + 1; b = h + 18. Given that c = 8, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 17", "c": "s + 1", "v": "c + 19", "f": "v + 15", "n": "f + 5", "y": "n + 15", "o": "t + 20", "l": "o + 3", "x": "l + 14", "g": "x + 5", "r": "g + 9", "i": "r + 7", "t": 14}, "premises": {"t": 14}, "target": "y"}, "answer": {"steps": [["n", "f + 5", "f + 20"], ["f", "v + 15", "v + 35"], ["v", "c + 19", "c + 54"], ["c", "s + 1", "s + 55"], ["s", "t + 17", "t + 72"], ["t", 14, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"t": 14}, "is_reverse": true}} | 16,904 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = r + 7; f = v + 15; v = c + 19; x = l + 14; t = 14; s = t + 17; o = t + 20; y = n + 15; g = x + 5; l = o + 3; n = f + 5; c = s + 1; r = g + 9. If t = 14, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 5 to y, which gives y = f + 20.\n2. Substitute f = v + 15 to y, which gives y = v + 35.\n3. Substitute v = c + 19 to y, which gives y = c + 54.\n4. Substitute c = s + 1 to y, which gives y = s + 55.\n5. Substitute s = t + 17 to y, which gives y = t + 72.\n6. Substitute t = 14 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 16904,
"question": "Consider a system of variables where each variable is defined as follows: i = r + 7; f = v + 15; v = c + 19; x = l + 14; t = 14; s = t + 17; o = t + 20; y = n + 15; g = x + 5; l = o + 3; n = f + 5; c = s + 1; r = g + 9. If t = 14, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 17", "u": "b + 4", "p": "u + 10", "j": "p + 9", "a": "j + 16", "g": "a + 17", "s": "t + 9", "n": "s + 10", "w": "n + 8", "o": "w + 9", "l": "o + 19", "q": "l + 5", "t": 3}, "premises": {"t": 3}, "target": "g"}, "answer": {"steps": [["a", "j + 16", "j + 33"], ["j", "p + 9", "p + 42"], ["p", "u + 10", "u + 52"], ["u", "b + 4", "b + 56"], ["b", "t + 17", "t + 73"], ["t", 3, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"t": 3}, "is_reverse": true}} | 16,905 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = w + 9; u = b + 4; s = t + 9; q = l + 5; b = t + 17; j = p + 9; w = n + 8; n = s + 10; t = 3; a = j + 16; l = o + 19; p = u + 10; g = a + 17. If t = 3, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 16 to g, which gives g = j + 33.\n2. Substitute j = p + 9 to g, which gives g = p + 42.\n3. Substitute p = u + 10 to g, which gives g = u + 52.\n4. Substitute u = b + 4 to g, which gives g = b + 56.\n5. Substitute b = t + 17 to g, which gives g = t + 73.\n6. Substitute t = 3 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 16905,
"question": "Consider a system of variables where each variable is defined as follows: o = w + 9; u = b + 4; s = t + 9; q = l + 5; b = t + 17; j = p + 9; w = n + 8; n = s + 10; t = 3; a = j + 16; l = o + 19; p = u + 10; g = a + 17. If t = 3, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"x": "j + 1", "y": "x + 2", "s": "y + 17", "u": "s + 9", "p": "u + 17", "m": "p + 17", "t": "j + 3", "g": "t + 4", "w": "g + 4", "i": "w + 20", "e": "i + 7", "h": "e + 12", "j": 10}, "premises": {"j": 10}, "target": "m"}, "answer": {"steps": [["p", "u + 17", "u + 34"], ["u", "s + 9", "s + 43"], ["s", "y + 17", "y + 60"], ["y", "x + 2", "x + 62"], ["x", "j + 1", "j + 63"], ["j", 10, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"j": 10}, "is_reverse": true}} | 16,906 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = w + 20; w = g + 4; p = u + 17; x = j + 1; u = s + 9; m = p + 17; e = i + 7; h = e + 12; g = t + 4; s = y + 17; t = j + 3; y = x + 2; j = 10. Given that j = 10, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 17 to m, which gives m = u + 34.\n2. Substitute u = s + 9 to m, which gives m = s + 43.\n3. Substitute s = y + 17 to m, which gives m = y + 60.\n4. Substitute y = x + 2 to m, which gives m = x + 62.\n5. Substitute x = j + 1 to m, which gives m = j + 63.\n6. Substitute j = 10 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 16906,
"question": "Suppose a collection of variables is related by the following definitions: i = w + 20; w = g + 4; p = u + 17; x = j + 1; u = s + 9; m = p + 17; e = i + 7; h = e + 12; g = t + 4; s = y + 17; t = j + 3; y = x + 2; j = 10. Given that j = 10, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 20", "d": "h + 4", "b": "d + 20", "e": "b + 13", "w": "e + 15", "s": "w + 4", "o": "z + 9", "a": "o + 7", "q": "a + 16", "r": "q + 11", "f": "r + 18", "v": "f + 19", "z": 8}, "premises": {"z": 8}, "target": "s"}, "answer": {"steps": [["w", "e + 15", "e + 19"], ["e", "b + 13", "b + 32"], ["b", "d + 20", "d + 52"], ["d", "h + 4", "h + 56"], ["h", "z + 20", "z + 76"], ["z", 8, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"z": 8}, "is_reverse": true}} | 16,907 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = e + 15; r = q + 11; d = h + 4; s = w + 4; a = o + 7; h = z + 20; z = 8; q = a + 16; f = r + 18; e = b + 13; b = d + 20; v = f + 19; o = z + 9. If z = 8, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 15 to s, which gives s = e + 19.\n2. Substitute e = b + 13 to s, which gives s = b + 32.\n3. Substitute b = d + 20 to s, which gives s = d + 52.\n4. Substitute d = h + 4 to s, which gives s = h + 56.\n5. Substitute h = z + 20 to s, which gives s = z + 76.\n6. Substitute z = 8 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 16907,
"question": "Consider a system of variables where each variable is defined as follows: w = e + 15; r = q + 11; d = h + 4; s = w + 4; a = o + 7; h = z + 20; z = 8; q = a + 16; f = r + 18; e = b + 13; b = d + 20; v = f + 19; o = z + 9. If z = 8, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"q": "m + 13", "r": "q + 9", "i": "r + 1", "u": "i + 3", "a": "u + 4", "f": "a + 14", "j": "m + 6", "h": "j + 3", "y": "h + 15", "v": "y + 2", "k": "v + 13", "s": "k + 9", "m": 18}, "premises": {"m": 18}, "target": "f"}, "answer": {"steps": [["a", "u + 4", "u + 18"], ["u", "i + 3", "i + 21"], ["i", "r + 1", "r + 22"], ["r", "q + 9", "q + 31"], ["q", "m + 13", "m + 44"], ["m", 18, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"m": 18}, "is_reverse": true}} | 16,908 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = h + 15; s = k + 9; m = 18; r = q + 9; k = v + 13; v = y + 2; q = m + 13; h = j + 3; j = m + 6; i = r + 1; f = a + 14; a = u + 4; u = i + 3. Given that m = 18, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 4 to f, which gives f = u + 18.\n2. Substitute u = i + 3 to f, which gives f = i + 21.\n3. Substitute i = r + 1 to f, which gives f = r + 22.\n4. Substitute r = q + 9 to f, which gives f = q + 31.\n5. Substitute q = m + 13 to f, which gives f = m + 44.\n6. Substitute m = 18 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 16908,
"question": "Suppose a collection of variables is related by the following definitions: y = h + 15; s = k + 9; m = 18; r = q + 9; k = v + 13; v = y + 2; q = m + 13; h = j + 3; j = m + 6; i = r + 1; f = a + 14; a = u + 4; u = i + 3. Given that m = 18, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 13", "v": "g + 10", "q": "v + 8", "p": "q + 9", "w": "p + 15", "a": "w + 4", "x": "i + 15", "r": "x + 7", "h": "r + 11", "c": "h + 18", "d": "c + 8", "z": "d + 4", "i": 19}, "premises": {"i": 19}, "target": "a"}, "answer": {"steps": [["w", "p + 15", "p + 19"], ["p", "q + 9", "q + 28"], ["q", "v + 8", "v + 36"], ["v", "g + 10", "g + 46"], ["g", "i + 13", "i + 59"], ["i", 19, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"i": 19}, "is_reverse": true}} | 16,909 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = g + 10; h = r + 11; p = q + 9; c = h + 18; i = 19; r = x + 7; q = v + 8; z = d + 4; x = i + 15; w = p + 15; d = c + 8; g = i + 13; a = w + 4. If i = 19, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 15 to a, which gives a = p + 19.\n2. Substitute p = q + 9 to a, which gives a = q + 28.\n3. Substitute q = v + 8 to a, which gives a = v + 36.\n4. Substitute v = g + 10 to a, which gives a = g + 46.\n5. Substitute g = i + 13 to a, which gives a = i + 59.\n6. Substitute i = 19 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 16909,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = g + 10; h = r + 11; p = q + 9; c = h + 18; i = 19; r = x + 7; q = v + 8; z = d + 4; x = i + 15; w = p + 15; d = c + 8; g = i + 13; a = w + 4. If i = 19, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 1", "r": "c + 14", "a": "r + 19", "t": "a + 11", "z": "t + 18", "y": "z + 17", "v": "g + 10", "m": "v + 12", "e": "m + 6", "h": "e + 13", "o": "h + 4", "x": "o + 5", "g": 16}, "premises": {"g": 16}, "target": "y"}, "answer": {"steps": [["z", "t + 18", "t + 35"], ["t", "a + 11", "a + 46"], ["a", "r + 19", "r + 65"], ["r", "c + 14", "c + 79"], ["c", "g + 1", "g + 80"], ["g", 16, "96"]], "target_var_name": "y", "target_value": 96, "value_dict": {"g": 16}, "is_reverse": true}} | 16,910 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = e + 13; a = r + 19; x = o + 5; e = m + 6; g = 16; c = g + 1; m = v + 12; t = a + 11; v = g + 10; z = t + 18; r = c + 14; o = h + 4; y = z + 17. If g = 16, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 18 to y, which gives y = t + 35.\n2. Substitute t = a + 11 to y, which gives y = a + 46.\n3. Substitute a = r + 19 to y, which gives y = r + 65.\n4. Substitute r = c + 14 to y, which gives y = c + 79.\n5. Substitute c = g + 1 to y, which gives y = g + 80.\n6. Substitute g = 16 to y, which gives y = 96.\n\nThus, the final answer is y = \\boxed{96}.",
"index": 16910,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = e + 13; a = r + 19; x = o + 5; e = m + 6; g = 16; c = g + 1; m = v + 12; t = a + 11; v = g + 10; z = t + 18; r = c + 14; o = h + 4; y = z + 17. If g = 16, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 18", "j": "s + 10", "i": "j + 14", "w": "i + 10", "p": "w + 4", "t": "p + 11", "h": "a + 17", "o": "h + 20", "z": "o + 16", "c": "z + 12", "y": "c + 14", "x": "y + 10", "a": 12}, "premises": {"a": 12}, "target": "t"}, "answer": {"steps": [["p", "w + 4", "w + 15"], ["w", "i + 10", "i + 25"], ["i", "j + 14", "j + 39"], ["j", "s + 10", "s + 49"], ["s", "a + 18", "a + 67"], ["a", 12, "79"]], "target_var_name": "t", "target_value": 79, "value_dict": {"a": 12}, "is_reverse": true}} | 16,911 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = 12; s = a + 18; t = p + 11; o = h + 20; h = a + 17; c = z + 12; j = s + 10; z = o + 16; y = c + 14; x = y + 10; w = i + 10; i = j + 14; p = w + 4. Given that a = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 4 to t, which gives t = w + 15.\n2. Substitute w = i + 10 to t, which gives t = i + 25.\n3. Substitute i = j + 14 to t, which gives t = j + 39.\n4. Substitute j = s + 10 to t, which gives t = s + 49.\n5. Substitute s = a + 18 to t, which gives t = a + 67.\n6. Substitute a = 12 to t, which gives t = 79.\n\nThus, the final answer is t = \\boxed{79}.",
"index": 16911,
"question": "Suppose a collection of variables is related by the following definitions: a = 12; s = a + 18; t = p + 11; o = h + 20; h = a + 17; c = z + 12; j = s + 10; z = o + 16; y = c + 14; x = y + 10; w = i + 10; i = j + 14; p = w + 4. Given that a = 12, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 20", "o": "p + 8", "u": "o + 1", "y": "u + 2", "l": "y + 13", "m": "l + 18", "f": "i + 12", "z": "f + 17", "j": "z + 14", "n": "j + 4", "v": "n + 12", "x": "v + 16", "i": 6}, "premises": {"i": 6}, "target": "m"}, "answer": {"steps": [["l", "y + 13", "y + 31"], ["y", "u + 2", "u + 33"], ["u", "o + 1", "o + 34"], ["o", "p + 8", "p + 42"], ["p", "i + 20", "i + 62"], ["i", 6, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"i": 6}, "is_reverse": true}} | 16,912 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = i + 20; z = f + 17; y = u + 2; v = n + 12; x = v + 16; o = p + 8; l = y + 13; i = 6; n = j + 4; j = z + 14; f = i + 12; u = o + 1; m = l + 18. Given that i = 6, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 13 to m, which gives m = y + 31.\n2. Substitute y = u + 2 to m, which gives m = u + 33.\n3. Substitute u = o + 1 to m, which gives m = o + 34.\n4. Substitute o = p + 8 to m, which gives m = p + 42.\n5. Substitute p = i + 20 to m, which gives m = i + 62.\n6. Substitute i = 6 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 16912,
"question": "Suppose a collection of variables is related by the following definitions: p = i + 20; z = f + 17; y = u + 2; v = n + 12; x = v + 16; o = p + 8; l = y + 13; i = 6; n = j + 4; j = z + 14; f = i + 12; u = o + 1; m = l + 18. Given that i = 6, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 15", "v": "j + 6", "y": "v + 8", "w": "y + 7", "n": "w + 14", "g": "n + 14", "z": "t + 5", "d": "z + 7", "f": "d + 6", "x": "f + 15", "q": "x + 2", "r": "q + 19", "t": 3}, "premises": {"t": 3}, "target": "g"}, "answer": {"steps": [["n", "w + 14", "w + 28"], ["w", "y + 7", "y + 35"], ["y", "v + 8", "v + 43"], ["v", "j + 6", "j + 49"], ["j", "t + 15", "t + 64"], ["t", 3, "67"]], "target_var_name": "g", "target_value": 67, "value_dict": {"t": 3}, "is_reverse": true}} | 16,913 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = z + 7; n = w + 14; z = t + 5; t = 3; r = q + 19; w = y + 7; f = d + 6; j = t + 15; q = x + 2; y = v + 8; v = j + 6; g = n + 14; x = f + 15. Given that t = 3, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 14 to g, which gives g = w + 28.\n2. Substitute w = y + 7 to g, which gives g = y + 35.\n3. Substitute y = v + 8 to g, which gives g = v + 43.\n4. Substitute v = j + 6 to g, which gives g = j + 49.\n5. Substitute j = t + 15 to g, which gives g = t + 64.\n6. Substitute t = 3 to g, which gives g = 67.\n\nThus, the final answer is g = \\boxed{67}.",
"index": 16913,
"question": "Suppose a collection of variables is related by the following definitions: d = z + 7; n = w + 14; z = t + 5; t = 3; r = q + 19; w = y + 7; f = d + 6; j = t + 15; q = x + 2; y = v + 8; v = j + 6; g = n + 14; x = f + 15. Given that t = 3, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 3", "p": "s + 4", "q": "p + 13", "h": "q + 10", "f": "h + 7", "m": "f + 18", "k": "r + 15", "b": "k + 17", "c": "b + 13", "y": "c + 11", "w": "y + 17", "u": "w + 13", "r": 12}, "premises": {"r": 12}, "target": "m"}, "answer": {"steps": [["f", "h + 7", "h + 25"], ["h", "q + 10", "q + 35"], ["q", "p + 13", "p + 48"], ["p", "s + 4", "s + 52"], ["s", "r + 3", "r + 55"], ["r", 12, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"r": 12}, "is_reverse": true}} | 16,914 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = p + 13; u = w + 13; c = b + 13; p = s + 4; f = h + 7; s = r + 3; r = 12; w = y + 17; m = f + 18; h = q + 10; b = k + 17; y = c + 11; k = r + 15. Given that r = 12, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 7 to m, which gives m = h + 25.\n2. Substitute h = q + 10 to m, which gives m = q + 35.\n3. Substitute q = p + 13 to m, which gives m = p + 48.\n4. Substitute p = s + 4 to m, which gives m = s + 52.\n5. Substitute s = r + 3 to m, which gives m = r + 55.\n6. Substitute r = 12 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 16914,
"question": "Suppose a collection of variables is related by the following definitions: q = p + 13; u = w + 13; c = b + 13; p = s + 4; f = h + 7; s = r + 3; r = 12; w = y + 17; m = f + 18; h = q + 10; b = k + 17; y = c + 11; k = r + 15. Given that r = 12, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"o": "z + 17", "x": "o + 5", "v": "x + 13", "q": "v + 15", "y": "q + 15", "c": "y + 6", "j": "z + 13", "w": "j + 9", "h": "w + 18", "f": "h + 11", "t": "f + 11", "s": "t + 2", "z": 15}, "premises": {"z": 15}, "target": "c"}, "answer": {"steps": [["y", "q + 15", "q + 21"], ["q", "v + 15", "v + 36"], ["v", "x + 13", "x + 49"], ["x", "o + 5", "o + 54"], ["o", "z + 17", "z + 71"], ["z", 15, "86"]], "target_var_name": "c", "target_value": 86, "value_dict": {"z": 15}, "is_reverse": true}} | 16,915 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = x + 13; c = y + 6; j = z + 13; f = h + 11; w = j + 9; o = z + 17; s = t + 2; t = f + 11; z = 15; h = w + 18; x = o + 5; y = q + 15; q = v + 15. If z = 15, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 15 to c, which gives c = q + 21.\n2. Substitute q = v + 15 to c, which gives c = v + 36.\n3. Substitute v = x + 13 to c, which gives c = x + 49.\n4. Substitute x = o + 5 to c, which gives c = o + 54.\n5. Substitute o = z + 17 to c, which gives c = z + 71.\n6. Substitute z = 15 to c, which gives c = 86.\n\nThus, the final answer is c = \\boxed{86}.",
"index": 16915,
"question": "Consider a system of variables where each variable is defined as follows: v = x + 13; c = y + 6; j = z + 13; f = h + 11; w = j + 9; o = z + 17; s = t + 2; t = f + 11; z = 15; h = w + 18; x = o + 5; y = q + 15; q = v + 15. If z = 15, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"d": "c + 16", "r": "d + 9", "q": "r + 12", "n": "q + 13", "k": "n + 14", "j": "k + 14", "s": "c + 5", "f": "s + 6", "a": "f + 13", "y": "a + 3", "z": "y + 11", "m": "z + 20", "c": 10}, "premises": {"c": 10}, "target": "j"}, "answer": {"steps": [["k", "n + 14", "n + 28"], ["n", "q + 13", "q + 41"], ["q", "r + 12", "r + 53"], ["r", "d + 9", "d + 62"], ["d", "c + 16", "c + 78"], ["c", 10, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"c": 10}, "is_reverse": true}} | 16,916 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = f + 13; z = y + 11; n = q + 13; s = c + 5; m = z + 20; q = r + 12; j = k + 14; k = n + 14; r = d + 9; y = a + 3; d = c + 16; c = 10; f = s + 6. Given that c = 10, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = n + 14 to j, which gives j = n + 28.\n2. Substitute n = q + 13 to j, which gives j = q + 41.\n3. Substitute q = r + 12 to j, which gives j = r + 53.\n4. Substitute r = d + 9 to j, which gives j = d + 62.\n5. Substitute d = c + 16 to j, which gives j = c + 78.\n6. Substitute c = 10 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 16916,
"question": "Suppose a collection of variables is related by the following definitions: a = f + 13; z = y + 11; n = q + 13; s = c + 5; m = z + 20; q = r + 12; j = k + 14; k = n + 14; r = d + 9; y = a + 3; d = c + 16; c = 10; f = s + 6. Given that c = 10, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 10", "u": "m + 19", "t": "u + 5", "h": "t + 15", "j": "h + 15", "b": "j + 3", "e": "i + 18", "k": "e + 2", "l": "k + 5", "s": "l + 12", "g": "s + 12", "f": "g + 20", "i": 13}, "premises": {"i": 13}, "target": "b"}, "answer": {"steps": [["j", "h + 15", "h + 18"], ["h", "t + 15", "t + 33"], ["t", "u + 5", "u + 38"], ["u", "m + 19", "m + 57"], ["m", "i + 10", "i + 67"], ["i", 13, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"i": 13}, "is_reverse": true}} | 16,917 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = j + 3; j = h + 15; e = i + 18; f = g + 20; t = u + 5; l = k + 5; g = s + 12; u = m + 19; s = l + 12; h = t + 15; i = 13; m = i + 10; k = e + 2. If i = 13, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 15 to b, which gives b = h + 18.\n2. Substitute h = t + 15 to b, which gives b = t + 33.\n3. Substitute t = u + 5 to b, which gives b = u + 38.\n4. Substitute u = m + 19 to b, which gives b = m + 57.\n5. Substitute m = i + 10 to b, which gives b = i + 67.\n6. Substitute i = 13 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 16917,
"question": "Consider a system of variables where each variable is defined as follows: b = j + 3; j = h + 15; e = i + 18; f = g + 20; t = u + 5; l = k + 5; g = s + 12; u = m + 19; s = l + 12; h = t + 15; i = 13; m = i + 10; k = e + 2. If i = 13, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"e": "o + 5", "u": "e + 5", "c": "u + 14", "x": "c + 20", "j": "x + 9", "n": "j + 10", "i": "o + 7", "z": "i + 9", "p": "z + 5", "a": "p + 20", "q": "a + 14", "t": "q + 18", "o": 2}, "premises": {"o": 2}, "target": "n"}, "answer": {"steps": [["j", "x + 9", "x + 19"], ["x", "c + 20", "c + 39"], ["c", "u + 14", "u + 53"], ["u", "e + 5", "e + 58"], ["e", "o + 5", "o + 63"], ["o", 2, "65"]], "target_var_name": "n", "target_value": 65, "value_dict": {"o": 2}, "is_reverse": true}} | 16,918 | 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 + 14; n = j + 10; e = o + 5; u = e + 5; o = 2; i = o + 7; x = c + 20; j = x + 9; q = a + 14; z = i + 9; a = p + 20; p = z + 5; t = q + 18. If o = 2, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 9 to n, which gives n = x + 19.\n2. Substitute x = c + 20 to n, which gives n = c + 39.\n3. Substitute c = u + 14 to n, which gives n = u + 53.\n4. Substitute u = e + 5 to n, which gives n = e + 58.\n5. Substitute e = o + 5 to n, which gives n = o + 63.\n6. Substitute o = 2 to n, which gives n = 65.\n\nThus, the final answer is n = \\boxed{65}.",
"index": 16918,
"question": "Consider a system of variables where each variable is defined as follows: c = u + 14; n = j + 10; e = o + 5; u = e + 5; o = 2; i = o + 7; x = c + 20; j = x + 9; q = a + 14; z = i + 9; a = p + 20; p = z + 5; t = q + 18. If o = 2, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 7", "j": "r + 14", "v": "j + 12", "h": "v + 4", "p": "h + 6", "e": "p + 3", "g": "b + 17", "o": "g + 16", "s": "o + 12", "z": "s + 20", "c": "z + 7", "d": "c + 13", "b": 9}, "premises": {"b": 9}, "target": "e"}, "answer": {"steps": [["p", "h + 6", "h + 9"], ["h", "v + 4", "v + 13"], ["v", "j + 12", "j + 25"], ["j", "r + 14", "r + 39"], ["r", "b + 7", "b + 46"], ["b", 9, "55"]], "target_var_name": "e", "target_value": 55, "value_dict": {"b": 9}, "is_reverse": true}} | 16,919 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = s + 20; p = h + 6; b = 9; j = r + 14; e = p + 3; v = j + 12; h = v + 4; s = o + 12; g = b + 17; d = c + 13; c = z + 7; r = b + 7; o = g + 16. If b = 9, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 6 to e, which gives e = h + 9.\n2. Substitute h = v + 4 to e, which gives e = v + 13.\n3. Substitute v = j + 12 to e, which gives e = j + 25.\n4. Substitute j = r + 14 to e, which gives e = r + 39.\n5. Substitute r = b + 7 to e, which gives e = b + 46.\n6. Substitute b = 9 to e, which gives e = 55.\n\nThus, the final answer is e = \\boxed{55}.",
"index": 16919,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = s + 20; p = h + 6; b = 9; j = r + 14; e = p + 3; v = j + 12; h = v + 4; s = o + 12; g = b + 17; d = c + 13; c = z + 7; r = b + 7; o = g + 16. If b = 9, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 2", "f": "b + 5", "s": "f + 10", "o": "s + 7", "a": "o + 10", "r": "a + 3", "p": "j + 13", "n": "p + 11", "y": "n + 15", "k": "y + 16", "t": "k + 10", "w": "t + 16", "j": 13}, "premises": {"j": 13}, "target": "r"}, "answer": {"steps": [["a", "o + 10", "o + 13"], ["o", "s + 7", "s + 20"], ["s", "f + 10", "f + 30"], ["f", "b + 5", "b + 35"], ["b", "j + 2", "j + 37"], ["j", 13, "50"]], "target_var_name": "r", "target_value": 50, "value_dict": {"j": 13}, "is_reverse": true}} | 16,920 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = y + 16; r = a + 3; b = j + 2; n = p + 11; a = o + 10; s = f + 10; t = k + 10; w = t + 16; y = n + 15; j = 13; o = s + 7; p = j + 13; f = b + 5. If j = 13, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 10 to r, which gives r = o + 13.\n2. Substitute o = s + 7 to r, which gives r = s + 20.\n3. Substitute s = f + 10 to r, which gives r = f + 30.\n4. Substitute f = b + 5 to r, which gives r = b + 35.\n5. Substitute b = j + 2 to r, which gives r = j + 37.\n6. Substitute j = 13 to r, which gives r = 50.\n\nThus, the final answer is r = \\boxed{50}.",
"index": 16920,
"question": "Consider a system of variables where each variable is defined as follows: k = y + 16; r = a + 3; b = j + 2; n = p + 11; a = o + 10; s = f + 10; t = k + 10; w = t + 16; y = n + 15; j = 13; o = s + 7; p = j + 13; f = b + 5. If j = 13, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 6", "k": "s + 14", "r": "k + 7", "j": "r + 13", "t": "j + 9", "a": "t + 4", "b": "q + 5", "c": "b + 1", "l": "c + 8", "x": "l + 8", "z": "x + 6", "d": "z + 13", "q": 3}, "premises": {"q": 3}, "target": "a"}, "answer": {"steps": [["t", "j + 9", "j + 13"], ["j", "r + 13", "r + 26"], ["r", "k + 7", "k + 33"], ["k", "s + 14", "s + 47"], ["s", "q + 6", "q + 53"], ["q", 3, "56"]], "target_var_name": "a", "target_value": 56, "value_dict": {"q": 3}, "is_reverse": true}} | 16,921 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = 3; c = b + 1; j = r + 13; x = l + 8; s = q + 6; b = q + 5; r = k + 7; a = t + 4; d = z + 13; t = j + 9; z = x + 6; k = s + 14; l = c + 8. Given that q = 3, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 9 to a, which gives a = j + 13.\n2. Substitute j = r + 13 to a, which gives a = r + 26.\n3. Substitute r = k + 7 to a, which gives a = k + 33.\n4. Substitute k = s + 14 to a, which gives a = s + 47.\n5. Substitute s = q + 6 to a, which gives a = q + 53.\n6. Substitute q = 3 to a, which gives a = 56.\n\nThus, the final answer is a = \\boxed{56}.",
"index": 16921,
"question": "Suppose a collection of variables is related by the following definitions: q = 3; c = b + 1; j = r + 13; x = l + 8; s = q + 6; b = q + 5; r = k + 7; a = t + 4; d = z + 13; t = j + 9; z = x + 6; k = s + 14; l = c + 8. Given that q = 3, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 1", "u": "p + 10", "v": "u + 10", "t": "v + 8", "b": "t + 19", "s": "b + 5", "i": "g + 5", "c": "i + 20", "n": "c + 11", "a": "n + 15", "k": "a + 15", "j": "k + 1", "g": 7}, "premises": {"g": 7}, "target": "s"}, "answer": {"steps": [["b", "t + 19", "t + 24"], ["t", "v + 8", "v + 32"], ["v", "u + 10", "u + 42"], ["u", "p + 10", "p + 52"], ["p", "g + 1", "g + 53"], ["g", 7, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"g": 7}, "is_reverse": true}} | 16,922 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = c + 11; t = v + 8; a = n + 15; c = i + 20; u = p + 10; g = 7; v = u + 10; p = g + 1; j = k + 1; s = b + 5; i = g + 5; b = t + 19; k = a + 15. If g = 7, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 19 to s, which gives s = t + 24.\n2. Substitute t = v + 8 to s, which gives s = v + 32.\n3. Substitute v = u + 10 to s, which gives s = u + 42.\n4. Substitute u = p + 10 to s, which gives s = p + 52.\n5. Substitute p = g + 1 to s, which gives s = g + 53.\n6. Substitute g = 7 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 16922,
"question": "Consider a system of variables where each variable is defined as follows: n = c + 11; t = v + 8; a = n + 15; c = i + 20; u = p + 10; g = 7; v = u + 10; p = g + 1; j = k + 1; s = b + 5; i = g + 5; b = t + 19; k = a + 15. If g = 7, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 4", "t": "h + 3", "s": "t + 14", "y": "s + 6", "j": "y + 9", "g": "j + 8", "w": "l + 5", "e": "w + 1", "q": "e + 11", "o": "q + 19", "c": "o + 13", "z": "c + 8", "l": 3}, "premises": {"l": 3}, "target": "g"}, "answer": {"steps": [["j", "y + 9", "y + 17"], ["y", "s + 6", "s + 23"], ["s", "t + 14", "t + 37"], ["t", "h + 3", "h + 40"], ["h", "l + 4", "l + 44"], ["l", 3, "47"]], "target_var_name": "g", "target_value": 47, "value_dict": {"l": 3}, "is_reverse": true}} | 16,923 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 8; s = t + 14; j = y + 9; t = h + 3; w = l + 5; y = s + 6; o = q + 19; z = c + 8; h = l + 4; l = 3; e = w + 1; c = o + 13; q = e + 11. Given that l = 3, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 9 to g, which gives g = y + 17.\n2. Substitute y = s + 6 to g, which gives g = s + 23.\n3. Substitute s = t + 14 to g, which gives g = t + 37.\n4. Substitute t = h + 3 to g, which gives g = h + 40.\n5. Substitute h = l + 4 to g, which gives g = l + 44.\n6. Substitute l = 3 to g, which gives g = 47.\n\nThus, the final answer is g = \\boxed{47}.",
"index": 16923,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 8; s = t + 14; j = y + 9; t = h + 3; w = l + 5; y = s + 6; o = q + 19; z = c + 8; h = l + 4; l = 3; e = w + 1; c = o + 13; q = e + 11. Given that l = 3, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 9", "r": "z + 12", "f": "r + 12", "a": "f + 9", "u": "a + 11", "h": "u + 3", "e": "y + 9", "n": "e + 11", "t": "n + 3", "g": "t + 16", "m": "g + 17", "v": "m + 6", "y": 8}, "premises": {"y": 8}, "target": "h"}, "answer": {"steps": [["u", "a + 11", "a + 14"], ["a", "f + 9", "f + 23"], ["f", "r + 12", "r + 35"], ["r", "z + 12", "z + 47"], ["z", "y + 9", "y + 56"], ["y", 8, "64"]], "target_var_name": "h", "target_value": 64, "value_dict": {"y": 8}, "is_reverse": true}} | 16,924 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = u + 3; n = e + 11; g = t + 16; y = 8; m = g + 17; e = y + 9; t = n + 3; u = a + 11; r = z + 12; a = f + 9; z = y + 9; v = m + 6; f = r + 12. If y = 8, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 11 to h, which gives h = a + 14.\n2. Substitute a = f + 9 to h, which gives h = f + 23.\n3. Substitute f = r + 12 to h, which gives h = r + 35.\n4. Substitute r = z + 12 to h, which gives h = z + 47.\n5. Substitute z = y + 9 to h, which gives h = y + 56.\n6. Substitute y = 8 to h, which gives h = 64.\n\nThus, the final answer is h = \\boxed{64}.",
"index": 16924,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = u + 3; n = e + 11; g = t + 16; y = 8; m = g + 17; e = y + 9; t = n + 3; u = a + 11; r = z + 12; a = f + 9; z = y + 9; v = m + 6; f = r + 12. If y = 8, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 5", "n": "r + 2", "s": "n + 5", "e": "s + 8", "b": "e + 10", "g": "b + 17", "k": "h + 11", "m": "k + 8", "u": "m + 17", "a": "u + 8", "c": "a + 20", "l": "c + 10", "h": 19}, "premises": {"h": 19}, "target": "g"}, "answer": {"steps": [["b", "e + 10", "e + 27"], ["e", "s + 8", "s + 35"], ["s", "n + 5", "n + 40"], ["n", "r + 2", "r + 42"], ["r", "h + 5", "h + 47"], ["h", 19, "66"]], "target_var_name": "g", "target_value": 66, "value_dict": {"h": 19}, "is_reverse": true}} | 16,925 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = h + 5; e = s + 8; h = 19; c = a + 20; k = h + 11; l = c + 10; m = k + 8; n = r + 2; s = n + 5; g = b + 17; b = e + 10; u = m + 17; a = u + 8. If h = 19, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 10 to g, which gives g = e + 27.\n2. Substitute e = s + 8 to g, which gives g = s + 35.\n3. Substitute s = n + 5 to g, which gives g = n + 40.\n4. Substitute n = r + 2 to g, which gives g = r + 42.\n5. Substitute r = h + 5 to g, which gives g = h + 47.\n6. Substitute h = 19 to g, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 16925,
"question": "Consider a system of variables where each variable is defined as follows: r = h + 5; e = s + 8; h = 19; c = a + 20; k = h + 11; l = c + 10; m = k + 8; n = r + 2; s = n + 5; g = b + 17; b = e + 10; u = m + 17; a = u + 8. If h = 19, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 5", "g": "n + 7", "t": "g + 8", "o": "t + 11", "b": "o + 18", "j": "b + 2", "h": "q + 7", "w": "h + 1", "k": "w + 4", "x": "k + 3", "d": "x + 5", "a": "d + 8", "q": 15}, "premises": {"q": 15}, "target": "j"}, "answer": {"steps": [["b", "o + 18", "o + 20"], ["o", "t + 11", "t + 31"], ["t", "g + 8", "g + 39"], ["g", "n + 7", "n + 46"], ["n", "q + 5", "q + 51"], ["q", 15, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"q": 15}, "is_reverse": true}} | 16,926 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = d + 8; n = q + 5; x = k + 3; w = h + 1; o = t + 11; j = b + 2; b = o + 18; t = g + 8; k = w + 4; d = x + 5; g = n + 7; q = 15; h = q + 7. Given that q = 15, find the 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 b = o + 18 to j, which gives j = o + 20.\n2. Substitute o = t + 11 to j, which gives j = t + 31.\n3. Substitute t = g + 8 to j, which gives j = g + 39.\n4. Substitute g = n + 7 to j, which gives j = n + 46.\n5. Substitute n = q + 5 to j, which gives j = q + 51.\n6. Substitute q = 15 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 16926,
"question": "Suppose a collection of variables is related by the following definitions: a = d + 8; n = q + 5; x = k + 3; w = h + 1; o = t + 11; j = b + 2; b = o + 18; t = g + 8; k = w + 4; d = x + 5; g = n + 7; q = 15; h = q + 7. Given that q = 15, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 13", "m": "j + 4", "y": "m + 18", "c": "y + 20", "q": "c + 13", "r": "q + 7", "s": "h + 17", "u": "s + 8", "a": "u + 13", "d": "a + 3", "e": "d + 6", "o": "e + 2", "h": 8}, "premises": {"h": 8}, "target": "r"}, "answer": {"steps": [["q", "c + 13", "c + 20"], ["c", "y + 20", "y + 40"], ["y", "m + 18", "m + 58"], ["m", "j + 4", "j + 62"], ["j", "h + 13", "h + 75"], ["h", 8, "83"]], "target_var_name": "r", "target_value": 83, "value_dict": {"h": 8}, "is_reverse": true}} | 16,927 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = a + 3; r = q + 7; m = j + 4; s = h + 17; e = d + 6; q = c + 13; u = s + 8; h = 8; j = h + 13; o = e + 2; y = m + 18; a = u + 13; c = y + 20. If h = 8, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 13 to r, which gives r = c + 20.\n2. Substitute c = y + 20 to r, which gives r = y + 40.\n3. Substitute y = m + 18 to r, which gives r = m + 58.\n4. Substitute m = j + 4 to r, which gives r = j + 62.\n5. Substitute j = h + 13 to r, which gives r = h + 75.\n6. Substitute h = 8 to r, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 16927,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = a + 3; r = q + 7; m = j + 4; s = h + 17; e = d + 6; q = c + 13; u = s + 8; h = 8; j = h + 13; o = e + 2; y = m + 18; a = u + 13; c = y + 20. If h = 8, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 6", "i": "t + 20", "f": "i + 3", "k": "f + 16", "u": "k + 17", "x": "u + 14", "a": "v + 8", "g": "a + 1", "b": "g + 12", "o": "b + 13", "l": "o + 3", "q": "l + 3", "v": 19}, "premises": {"v": 19}, "target": "x"}, "answer": {"steps": [["u", "k + 17", "k + 31"], ["k", "f + 16", "f + 47"], ["f", "i + 3", "i + 50"], ["i", "t + 20", "t + 70"], ["t", "v + 6", "v + 76"], ["v", 19, "95"]], "target_var_name": "x", "target_value": 95, "value_dict": {"v": 19}, "is_reverse": true}} | 16,928 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = g + 12; k = f + 16; a = v + 8; t = v + 6; x = u + 14; v = 19; o = b + 13; f = i + 3; u = k + 17; g = a + 1; i = t + 20; l = o + 3; q = l + 3. Given that v = 19, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 17 to x, which gives x = k + 31.\n2. Substitute k = f + 16 to x, which gives x = f + 47.\n3. Substitute f = i + 3 to x, which gives x = i + 50.\n4. Substitute i = t + 20 to x, which gives x = t + 70.\n5. Substitute t = v + 6 to x, which gives x = v + 76.\n6. Substitute v = 19 to x, which gives x = 95.\n\nThus, the final answer is x = \\boxed{95}.",
"index": 16928,
"question": "Suppose a collection of variables is related by the following definitions: b = g + 12; k = f + 16; a = v + 8; t = v + 6; x = u + 14; v = 19; o = b + 13; f = i + 3; u = k + 17; g = a + 1; i = t + 20; l = o + 3; q = l + 3. Given that v = 19, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 16", "z": "j + 3", "o": "z + 14", "i": "o + 19", "x": "i + 11", "s": "x + 20", "f": "e + 20", "n": "f + 10", "u": "n + 8", "q": "u + 17", "t": "q + 5", "r": "t + 1", "e": 20}, "premises": {"e": 20}, "target": "s"}, "answer": {"steps": [["x", "i + 11", "i + 31"], ["i", "o + 19", "o + 50"], ["o", "z + 14", "z + 64"], ["z", "j + 3", "j + 67"], ["j", "e + 16", "e + 83"], ["e", 20, "103"]], "target_var_name": "s", "target_value": 103, "value_dict": {"e": 20}, "is_reverse": true}} | 16,929 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = e + 16; i = o + 19; x = i + 11; f = e + 20; s = x + 20; r = t + 1; o = z + 14; u = n + 8; e = 20; q = u + 17; t = q + 5; n = f + 10; z = j + 3. If e = 20, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 11 to s, which gives s = i + 31.\n2. Substitute i = o + 19 to s, which gives s = o + 50.\n3. Substitute o = z + 14 to s, which gives s = z + 64.\n4. Substitute z = j + 3 to s, which gives s = j + 67.\n5. Substitute j = e + 16 to s, which gives s = e + 83.\n6. Substitute e = 20 to s, which gives s = 103.\n\nThus, the final answer is s = \\boxed{103}.",
"index": 16929,
"question": "Consider a system of variables where each variable is defined as follows: j = e + 16; i = o + 19; x = i + 11; f = e + 20; s = x + 20; r = t + 1; o = z + 14; u = n + 8; e = 20; q = u + 17; t = q + 5; n = f + 10; z = j + 3. If e = 20, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"b": "f + 1", "m": "b + 8", "w": "m + 3", "y": "w + 1", "v": "y + 18", "t": "v + 13", "h": "f + 13", "s": "h + 17", "g": "s + 10", "e": "g + 19", "r": "e + 3", "p": "r + 7", "f": 14}, "premises": {"f": 14}, "target": "t"}, "answer": {"steps": [["v", "y + 18", "y + 31"], ["y", "w + 1", "w + 32"], ["w", "m + 3", "m + 35"], ["m", "b + 8", "b + 43"], ["b", "f + 1", "f + 44"], ["f", 14, "58"]], "target_var_name": "t", "target_value": 58, "value_dict": {"f": 14}, "is_reverse": true}} | 16,930 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = f + 13; b = f + 1; v = y + 18; w = m + 3; r = e + 3; e = g + 19; t = v + 13; s = h + 17; m = b + 8; y = w + 1; f = 14; g = s + 10; p = r + 7. If f = 14, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 18 to t, which gives t = y + 31.\n2. Substitute y = w + 1 to t, which gives t = w + 32.\n3. Substitute w = m + 3 to t, which gives t = m + 35.\n4. Substitute m = b + 8 to t, which gives t = b + 43.\n5. Substitute b = f + 1 to t, which gives t = f + 44.\n6. Substitute f = 14 to t, which gives t = 58.\n\nThus, the final answer is t = \\boxed{58}.",
"index": 16930,
"question": "Consider a system of variables where each variable is defined as follows: h = f + 13; b = f + 1; v = y + 18; w = m + 3; r = e + 3; e = g + 19; t = v + 13; s = h + 17; m = b + 8; y = w + 1; f = 14; g = s + 10; p = r + 7. If f = 14, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 16", "z": "p + 1", "a": "z + 19", "q": "a + 4", "v": "q + 9", "u": "v + 1", "l": "m + 13", "f": "l + 2", "g": "f + 1", "c": "g + 13", "n": "c + 19", "i": "n + 19", "m": 20}, "premises": {"m": 20}, "target": "u"}, "answer": {"steps": [["v", "q + 9", "q + 10"], ["q", "a + 4", "a + 14"], ["a", "z + 19", "z + 33"], ["z", "p + 1", "p + 34"], ["p", "m + 16", "m + 50"], ["m", 20, "70"]], "target_var_name": "u", "target_value": 70, "value_dict": {"m": 20}, "is_reverse": true}} | 16,931 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = g + 13; u = v + 1; l = m + 13; m = 20; f = l + 2; v = q + 9; a = z + 19; g = f + 1; i = n + 19; q = a + 4; n = c + 19; z = p + 1; p = m + 16. If m = 20, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 9 to u, which gives u = q + 10.\n2. Substitute q = a + 4 to u, which gives u = a + 14.\n3. Substitute a = z + 19 to u, which gives u = z + 33.\n4. Substitute z = p + 1 to u, which gives u = p + 34.\n5. Substitute p = m + 16 to u, which gives u = m + 50.\n6. Substitute m = 20 to u, which gives u = 70.\n\nThus, the final answer is u = \\boxed{70}.",
"index": 16931,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = g + 13; u = v + 1; l = m + 13; m = 20; f = l + 2; v = q + 9; a = z + 19; g = f + 1; i = n + 19; q = a + 4; n = c + 19; z = p + 1; p = m + 16. If m = 20, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 15", "e": "c + 9", "j": "e + 14", "z": "j + 20", "h": "z + 14", "p": "h + 16", "b": "l + 7", "n": "b + 13", "r": "n + 14", "y": "r + 11", "t": "y + 13", "k": "t + 9", "l": 8}, "premises": {"l": 8}, "target": "p"}, "answer": {"steps": [["h", "z + 14", "z + 30"], ["z", "j + 20", "j + 50"], ["j", "e + 14", "e + 64"], ["e", "c + 9", "c + 73"], ["c", "l + 15", "l + 88"], ["l", 8, "96"]], "target_var_name": "p", "target_value": 96, "value_dict": {"l": 8}, "is_reverse": true}} | 16,932 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = j + 20; e = c + 9; h = z + 14; r = n + 14; n = b + 13; y = r + 11; l = 8; b = l + 7; k = t + 9; t = y + 13; c = l + 15; j = e + 14; p = h + 16. If l = 8, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 14 to p, which gives p = z + 30.\n2. Substitute z = j + 20 to p, which gives p = j + 50.\n3. Substitute j = e + 14 to p, which gives p = e + 64.\n4. Substitute e = c + 9 to p, which gives p = c + 73.\n5. Substitute c = l + 15 to p, which gives p = l + 88.\n6. Substitute l = 8 to p, which gives p = 96.\n\nThus, the final answer is p = \\boxed{96}.",
"index": 16932,
"question": "Consider a system of variables where each variable is defined as follows: z = j + 20; e = c + 9; h = z + 14; r = n + 14; n = b + 13; y = r + 11; l = 8; b = l + 7; k = t + 9; t = y + 13; c = l + 15; j = e + 14; p = h + 16. If l = 8, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 12", "k": "n + 15", "t": "k + 12", "h": "t + 9", "z": "h + 19", "i": "z + 17", "s": "x + 11", "q": "s + 6", "m": "q + 2", "b": "m + 10", "p": "b + 16", "o": "p + 15", "x": 16}, "premises": {"x": 16}, "target": "i"}, "answer": {"steps": [["z", "h + 19", "h + 36"], ["h", "t + 9", "t + 45"], ["t", "k + 12", "k + 57"], ["k", "n + 15", "n + 72"], ["n", "x + 12", "x + 84"], ["x", 16, "100"]], "target_var_name": "i", "target_value": 100, "value_dict": {"x": 16}, "is_reverse": true}} | 16,933 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 9; x = 16; t = k + 12; k = n + 15; z = h + 19; b = m + 10; n = x + 12; m = q + 2; p = b + 16; o = p + 15; q = s + 6; i = z + 17; s = x + 11. If x = 16, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 19 to i, which gives i = h + 36.\n2. Substitute h = t + 9 to i, which gives i = t + 45.\n3. Substitute t = k + 12 to i, which gives i = k + 57.\n4. Substitute k = n + 15 to i, which gives i = n + 72.\n5. Substitute n = x + 12 to i, which gives i = x + 84.\n6. Substitute x = 16 to i, which gives i = 100.\n\nThus, the final answer is i = \\boxed{100}.",
"index": 16933,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 9; x = 16; t = k + 12; k = n + 15; z = h + 19; b = m + 10; n = x + 12; m = q + 2; p = b + 16; o = p + 15; q = s + 6; i = z + 17; s = x + 11. If x = 16, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"c": "i + 1", "n": "c + 5", "e": "n + 12", "p": "e + 18", "x": "p + 16", "k": "x + 3", "m": "i + 1", "t": "m + 15", "y": "t + 17", "l": "y + 7", "h": "l + 2", "f": "h + 19", "i": 1}, "premises": {"i": 1}, "target": "k"}, "answer": {"steps": [["x", "p + 16", "p + 19"], ["p", "e + 18", "e + 37"], ["e", "n + 12", "n + 49"], ["n", "c + 5", "c + 54"], ["c", "i + 1", "i + 55"], ["i", 1, "56"]], "target_var_name": "k", "target_value": 56, "value_dict": {"i": 1}, "is_reverse": true}} | 16,934 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = n + 12; c = i + 1; x = p + 16; f = h + 19; i = 1; l = y + 7; h = l + 2; t = m + 15; p = e + 18; n = c + 5; m = i + 1; k = x + 3; y = t + 17. If i = 1, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 16 to k, which gives k = p + 19.\n2. Substitute p = e + 18 to k, which gives k = e + 37.\n3. Substitute e = n + 12 to k, which gives k = n + 49.\n4. Substitute n = c + 5 to k, which gives k = c + 54.\n5. Substitute c = i + 1 to k, which gives k = i + 55.\n6. Substitute i = 1 to k, which gives k = 56.\n\nThus, the final answer is k = \\boxed{56}.",
"index": 16934,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = n + 12; c = i + 1; x = p + 16; f = h + 19; i = 1; l = y + 7; h = l + 2; t = m + 15; p = e + 18; n = c + 5; m = i + 1; k = x + 3; y = t + 17. If i = 1, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 13", "f": "h + 15", "d": "f + 2", "n": "d + 14", "v": "n + 8", "l": "v + 11", "p": "t + 5", "o": "p + 15", "x": "o + 5", "i": "x + 5", "m": "i + 16", "a": "m + 8", "t": 11}, "premises": {"t": 11}, "target": "l"}, "answer": {"steps": [["v", "n + 8", "n + 19"], ["n", "d + 14", "d + 33"], ["d", "f + 2", "f + 35"], ["f", "h + 15", "h + 50"], ["h", "t + 13", "t + 63"], ["t", 11, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"t": 11}, "is_reverse": true}} | 16,935 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 5; l = v + 11; v = n + 8; h = t + 13; m = i + 16; a = m + 8; f = h + 15; o = p + 15; t = 11; p = t + 5; i = x + 5; d = f + 2; n = d + 14. If t = 11, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 8 to l, which gives l = n + 19.\n2. Substitute n = d + 14 to l, which gives l = d + 33.\n3. Substitute d = f + 2 to l, which gives l = f + 35.\n4. Substitute f = h + 15 to l, which gives l = h + 50.\n5. Substitute h = t + 13 to l, which gives l = t + 63.\n6. Substitute t = 11 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 16935,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 5; l = v + 11; v = n + 8; h = t + 13; m = i + 16; a = m + 8; f = h + 15; o = p + 15; t = 11; p = t + 5; i = x + 5; d = f + 2; n = d + 14. If t = 11, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 1", "g": "e + 1", "y": "g + 14", "i": "y + 12", "s": "i + 5", "q": "s + 16", "m": "l + 18", "d": "m + 18", "c": "d + 15", "o": "c + 5", "b": "o + 12", "h": "b + 19", "l": 12}, "premises": {"l": 12}, "target": "q"}, "answer": {"steps": [["s", "i + 5", "i + 21"], ["i", "y + 12", "y + 33"], ["y", "g + 14", "g + 47"], ["g", "e + 1", "e + 48"], ["e", "l + 1", "l + 49"], ["l", 12, "61"]], "target_var_name": "q", "target_value": 61, "value_dict": {"l": 12}, "is_reverse": true}} | 16,936 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = l + 18; e = l + 1; d = m + 18; b = o + 12; i = y + 12; o = c + 5; l = 12; g = e + 1; s = i + 5; h = b + 19; y = g + 14; c = d + 15; q = s + 16. If l = 12, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 5 to q, which gives q = i + 21.\n2. Substitute i = y + 12 to q, which gives q = y + 33.\n3. Substitute y = g + 14 to q, which gives q = g + 47.\n4. Substitute g = e + 1 to q, which gives q = e + 48.\n5. Substitute e = l + 1 to q, which gives q = l + 49.\n6. Substitute l = 12 to q, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 16936,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = l + 18; e = l + 1; d = m + 18; b = o + 12; i = y + 12; o = c + 5; l = 12; g = e + 1; s = i + 5; h = b + 19; y = g + 14; c = d + 15; q = s + 16. If l = 12, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 18", "r": "u + 15", "e": "r + 13", "h": "e + 5", "z": "h + 20", "q": "z + 19", "x": "n + 19", "l": "x + 10", "b": "l + 1", "k": "b + 17", "p": "k + 15", "c": "p + 6", "n": 13}, "premises": {"n": 13}, "target": "q"}, "answer": {"steps": [["z", "h + 20", "h + 39"], ["h", "e + 5", "e + 44"], ["e", "r + 13", "r + 57"], ["r", "u + 15", "u + 72"], ["u", "n + 18", "n + 90"], ["n", 13, "103"]], "target_var_name": "q", "target_value": 103, "value_dict": {"n": 13}, "is_reverse": true}} | 16,937 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = e + 5; l = x + 10; x = n + 19; u = n + 18; c = p + 6; r = u + 15; e = r + 13; k = b + 17; b = l + 1; z = h + 20; q = z + 19; n = 13; p = k + 15. If n = 13, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 20 to q, which gives q = h + 39.\n2. Substitute h = e + 5 to q, which gives q = e + 44.\n3. Substitute e = r + 13 to q, which gives q = r + 57.\n4. Substitute r = u + 15 to q, which gives q = u + 72.\n5. Substitute u = n + 18 to q, which gives q = n + 90.\n6. Substitute n = 13 to q, which gives q = 103.\n\nThus, the final answer is q = \\boxed{103}.",
"index": 16937,
"question": "Consider a system of variables where each variable is defined as follows: h = e + 5; l = x + 10; x = n + 19; u = n + 18; c = p + 6; r = u + 15; e = r + 13; k = b + 17; b = l + 1; z = h + 20; q = z + 19; n = 13; p = k + 15. If n = 13, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"u": "l + 18", "y": "u + 9", "o": "y + 3", "i": "o + 5", "w": "i + 19", "r": "w + 9", "p": "l + 7", "c": "p + 1", "k": "c + 11", "e": "k + 2", "v": "e + 17", "t": "v + 5", "l": 4}, "premises": {"l": 4}, "target": "r"}, "answer": {"steps": [["w", "i + 19", "i + 28"], ["i", "o + 5", "o + 33"], ["o", "y + 3", "y + 36"], ["y", "u + 9", "u + 45"], ["u", "l + 18", "l + 63"], ["l", 4, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"l": 4}, "is_reverse": true}} | 16,938 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = i + 19; i = o + 5; e = k + 2; o = y + 3; r = w + 9; y = u + 9; v = e + 17; u = l + 18; t = v + 5; c = p + 1; k = c + 11; l = 4; p = l + 7. If l = 4, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 19 to r, which gives r = i + 28.\n2. Substitute i = o + 5 to r, which gives r = o + 33.\n3. Substitute o = y + 3 to r, which gives r = y + 36.\n4. Substitute y = u + 9 to r, which gives r = u + 45.\n5. Substitute u = l + 18 to r, which gives r = l + 63.\n6. Substitute l = 4 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 16938,
"question": "Consider a system of variables where each variable is defined as follows: w = i + 19; i = o + 5; e = k + 2; o = y + 3; r = w + 9; y = u + 9; v = e + 17; u = l + 18; t = v + 5; c = p + 1; k = c + 11; l = 4; p = l + 7. If l = 4, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 3", "e": "h + 14", "y": "e + 15", "k": "y + 11", "d": "k + 7", "u": "d + 1", "l": "j + 10", "b": "l + 11", "c": "b + 2", "a": "c + 9", "s": "a + 5", "m": "s + 5", "j": 5}, "premises": {"j": 5}, "target": "u"}, "answer": {"steps": [["d", "k + 7", "k + 8"], ["k", "y + 11", "y + 19"], ["y", "e + 15", "e + 34"], ["e", "h + 14", "h + 48"], ["h", "j + 3", "j + 51"], ["j", 5, "56"]], "target_var_name": "u", "target_value": 56, "value_dict": {"j": 5}, "is_reverse": true}} | 16,939 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 11; e = h + 14; y = e + 15; d = k + 7; k = y + 11; c = b + 2; h = j + 3; s = a + 5; a = c + 9; u = d + 1; j = 5; m = s + 5; l = j + 10. If j = 5, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 7 to u, which gives u = k + 8.\n2. Substitute k = y + 11 to u, which gives u = y + 19.\n3. Substitute y = e + 15 to u, which gives u = e + 34.\n4. Substitute e = h + 14 to u, which gives u = h + 48.\n5. Substitute h = j + 3 to u, which gives u = j + 51.\n6. Substitute j = 5 to u, which gives u = 56.\n\nThus, the final answer is u = \\boxed{56}.",
"index": 16939,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 11; e = h + 14; y = e + 15; d = k + 7; k = y + 11; c = b + 2; h = j + 3; s = a + 5; a = c + 9; u = d + 1; j = 5; m = s + 5; l = j + 10. If j = 5, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"p": "t + 11", "m": "p + 17", "x": "m + 16", "y": "x + 7", "r": "y + 12", "h": "r + 20", "e": "t + 11", "d": "e + 16", "i": "d + 4", "k": "i + 1", "g": "k + 8", "j": "g + 18", "t": 19}, "premises": {"t": 19}, "target": "h"}, "answer": {"steps": [["r", "y + 12", "y + 32"], ["y", "x + 7", "x + 39"], ["x", "m + 16", "m + 55"], ["m", "p + 17", "p + 72"], ["p", "t + 11", "t + 83"], ["t", 19, "102"]], "target_var_name": "h", "target_value": 102, "value_dict": {"t": 19}, "is_reverse": true}} | 16,940 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = p + 17; j = g + 18; r = y + 12; i = d + 4; t = 19; e = t + 11; h = r + 20; d = e + 16; y = x + 7; p = t + 11; k = i + 1; x = m + 16; g = k + 8. Given that t = 19, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 12 to h, which gives h = y + 32.\n2. Substitute y = x + 7 to h, which gives h = x + 39.\n3. Substitute x = m + 16 to h, which gives h = m + 55.\n4. Substitute m = p + 17 to h, which gives h = p + 72.\n5. Substitute p = t + 11 to h, which gives h = t + 83.\n6. Substitute t = 19 to h, which gives h = 102.\n\nThus, the final answer is h = \\boxed{102}.",
"index": 16940,
"question": "Suppose a collection of variables is related by the following definitions: m = p + 17; j = g + 18; r = y + 12; i = d + 4; t = 19; e = t + 11; h = r + 20; d = e + 16; y = x + 7; p = t + 11; k = i + 1; x = m + 16; g = k + 8. Given that t = 19, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 9", "j": "k + 5", "n": "j + 2", "z": "n + 9", "e": "z + 8", "m": "e + 3", "p": "o + 19", "l": "p + 11", "a": "l + 19", "r": "a + 5", "c": "r + 12", "i": "c + 15", "o": 15}, "premises": {"o": 15}, "target": "m"}, "answer": {"steps": [["e", "z + 8", "z + 11"], ["z", "n + 9", "n + 20"], ["n", "j + 2", "j + 22"], ["j", "k + 5", "k + 27"], ["k", "o + 9", "o + 36"], ["o", 15, "51"]], "target_var_name": "m", "target_value": 51, "value_dict": {"o": 15}, "is_reverse": true}} | 16,941 | 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 = c + 15; r = a + 5; z = n + 9; m = e + 3; p = o + 19; o = 15; k = o + 9; a = l + 19; c = r + 12; e = z + 8; j = k + 5; l = p + 11; n = j + 2. If o = 15, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 8 to m, which gives m = z + 11.\n2. Substitute z = n + 9 to m, which gives m = n + 20.\n3. Substitute n = j + 2 to m, which gives m = j + 22.\n4. Substitute j = k + 5 to m, which gives m = k + 27.\n5. Substitute k = o + 9 to m, which gives m = o + 36.\n6. Substitute o = 15 to m, which gives m = 51.\n\nThus, the final answer is m = \\boxed{51}.",
"index": 16941,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = c + 15; r = a + 5; z = n + 9; m = e + 3; p = o + 19; o = 15; k = o + 9; a = l + 19; c = r + 12; e = z + 8; j = k + 5; l = p + 11; n = j + 2. If o = 15, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 9", "z": "a + 13", "x": "z + 8", "v": "x + 15", "w": "v + 3", "u": "w + 17", "f": "j + 16", "r": "f + 11", "e": "r + 6", "y": "e + 5", "n": "y + 5", "m": "n + 20", "j": 5}, "premises": {"j": 5}, "target": "u"}, "answer": {"steps": [["w", "v + 3", "v + 20"], ["v", "x + 15", "x + 35"], ["x", "z + 8", "z + 43"], ["z", "a + 13", "a + 56"], ["a", "j + 9", "j + 65"], ["j", 5, "70"]], "target_var_name": "u", "target_value": 70, "value_dict": {"j": 5}, "is_reverse": true}} | 16,942 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = j + 16; m = n + 20; x = z + 8; r = f + 11; z = a + 13; j = 5; w = v + 3; y = e + 5; a = j + 9; e = r + 6; n = y + 5; v = x + 15; u = w + 17. If j = 5, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 3 to u, which gives u = v + 20.\n2. Substitute v = x + 15 to u, which gives u = x + 35.\n3. Substitute x = z + 8 to u, which gives u = z + 43.\n4. Substitute z = a + 13 to u, which gives u = a + 56.\n5. Substitute a = j + 9 to u, which gives u = j + 65.\n6. Substitute j = 5 to u, which gives u = 70.\n\nThus, the final answer is u = \\boxed{70}.",
"index": 16942,
"question": "Consider a system of variables where each variable is defined as follows: f = j + 16; m = n + 20; x = z + 8; r = f + 11; z = a + 13; j = 5; w = v + 3; y = e + 5; a = j + 9; e = r + 6; n = y + 5; v = x + 15; u = w + 17. If j = 5, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 17", "s": "b + 3", "q": "s + 6", "w": "q + 15", "m": "w + 9", "f": "m + 15", "k": "g + 4", "o": "k + 8", "c": "o + 2", "t": "c + 5", "a": "t + 3", "r": "a + 9", "g": 16}, "premises": {"g": 16}, "target": "f"}, "answer": {"steps": [["m", "w + 9", "w + 24"], ["w", "q + 15", "q + 39"], ["q", "s + 6", "s + 45"], ["s", "b + 3", "b + 48"], ["b", "g + 17", "g + 65"], ["g", 16, "81"]], "target_var_name": "f", "target_value": 81, "value_dict": {"g": 16}, "is_reverse": true}} | 16,943 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 2; k = g + 4; g = 16; f = m + 15; t = c + 5; w = q + 15; b = g + 17; q = s + 6; a = t + 3; s = b + 3; r = a + 9; o = k + 8; m = w + 9. If g = 16, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 9 to f, which gives f = w + 24.\n2. Substitute w = q + 15 to f, which gives f = q + 39.\n3. Substitute q = s + 6 to f, which gives f = s + 45.\n4. Substitute s = b + 3 to f, which gives f = b + 48.\n5. Substitute b = g + 17 to f, which gives f = g + 65.\n6. Substitute g = 16 to f, which gives f = 81.\n\nThus, the final answer is f = \\boxed{81}.",
"index": 16943,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 2; k = g + 4; g = 16; f = m + 15; t = c + 5; w = q + 15; b = g + 17; q = s + 6; a = t + 3; s = b + 3; r = a + 9; o = k + 8; m = w + 9. If g = 16, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 18", "u": "l + 15", "x": "u + 20", "r": "x + 7", "e": "r + 16", "f": "e + 10", "k": "q + 14", "g": "k + 14", "w": "g + 3", "y": "w + 20", "i": "y + 10", "s": "i + 1", "q": 8}, "premises": {"q": 8}, "target": "f"}, "answer": {"steps": [["e", "r + 16", "r + 26"], ["r", "x + 7", "x + 33"], ["x", "u + 20", "u + 53"], ["u", "l + 15", "l + 68"], ["l", "q + 18", "q + 86"], ["q", 8, "94"]], "target_var_name": "f", "target_value": 94, "value_dict": {"q": 8}, "is_reverse": true}} | 16,944 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 8; f = e + 10; k = q + 14; i = y + 10; g = k + 14; r = x + 7; l = q + 18; x = u + 20; e = r + 16; s = i + 1; y = w + 20; w = g + 3; u = l + 15. If q = 8, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 16 to f, which gives f = r + 26.\n2. Substitute r = x + 7 to f, which gives f = x + 33.\n3. Substitute x = u + 20 to f, which gives f = u + 53.\n4. Substitute u = l + 15 to f, which gives f = l + 68.\n5. Substitute l = q + 18 to f, which gives f = q + 86.\n6. Substitute q = 8 to f, which gives f = 94.\n\nThus, the final answer is f = \\boxed{94}.",
"index": 16944,
"question": "Consider a system of variables where each variable is defined as follows: q = 8; f = e + 10; k = q + 14; i = y + 10; g = k + 14; r = x + 7; l = q + 18; x = u + 20; e = r + 16; s = i + 1; y = w + 20; w = g + 3; u = l + 15. If q = 8, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "w + 19", "v": "n + 11", "y": "v + 11", "r": "y + 1", "j": "r + 1", "x": "j + 1", "o": "w + 1", "i": "o + 11", "p": "i + 8", "z": "p + 1", "u": "z + 3", "g": "u + 17", "w": 5}, "premises": {"w": 5}, "target": "x"}, "answer": {"steps": [["j", "r + 1", "r + 2"], ["r", "y + 1", "y + 3"], ["y", "v + 11", "v + 14"], ["v", "n + 11", "n + 25"], ["n", "w + 19", "w + 44"], ["w", 5, "49"]], "target_var_name": "x", "target_value": 49, "value_dict": {"w": 5}, "is_reverse": true}} | 16,945 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = r + 1; g = u + 17; o = w + 1; y = v + 11; i = o + 11; u = z + 3; n = w + 19; x = j + 1; z = p + 1; w = 5; r = y + 1; v = n + 11; p = i + 8. Given that w = 5, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 1 to x, which gives x = r + 2.\n2. Substitute r = y + 1 to x, which gives x = y + 3.\n3. Substitute y = v + 11 to x, which gives x = v + 14.\n4. Substitute v = n + 11 to x, which gives x = n + 25.\n5. Substitute n = w + 19 to x, which gives x = w + 44.\n6. Substitute w = 5 to x, which gives x = 49.\n\nThus, the final answer is x = \\boxed{49}.",
"index": 16945,
"question": "Suppose a collection of variables is related by the following definitions: j = r + 1; g = u + 17; o = w + 1; y = v + 11; i = o + 11; u = z + 3; n = w + 19; x = j + 1; z = p + 1; w = 5; r = y + 1; v = n + 11; p = i + 8. Given that w = 5, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 13", "w": "g + 20", "d": "w + 17", "m": "d + 19", "p": "m + 1", "z": "p + 17", "f": "r + 15", "l": "f + 16", "s": "l + 12", "k": "s + 4", "h": "k + 20", "e": "h + 13", "r": 3}, "premises": {"r": 3}, "target": "z"}, "answer": {"steps": [["p", "m + 1", "m + 18"], ["m", "d + 19", "d + 37"], ["d", "w + 17", "w + 54"], ["w", "g + 20", "g + 74"], ["g", "r + 13", "r + 87"], ["r", 3, "90"]], "target_var_name": "z", "target_value": 90, "value_dict": {"r": 3}, "is_reverse": true}} | 16,946 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = r + 13; f = r + 15; d = w + 17; m = d + 19; r = 3; e = h + 13; p = m + 1; z = p + 17; w = g + 20; l = f + 16; h = k + 20; k = s + 4; s = l + 12. If r = 3, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 1 to z, which gives z = m + 18.\n2. Substitute m = d + 19 to z, which gives z = d + 37.\n3. Substitute d = w + 17 to z, which gives z = w + 54.\n4. Substitute w = g + 20 to z, which gives z = g + 74.\n5. Substitute g = r + 13 to z, which gives z = r + 87.\n6. Substitute r = 3 to z, which gives z = 90.\n\nThus, the final answer is z = \\boxed{90}.",
"index": 16946,
"question": "Consider a system of variables where each variable is defined as follows: g = r + 13; f = r + 15; d = w + 17; m = d + 19; r = 3; e = h + 13; p = m + 1; z = p + 17; w = g + 20; l = f + 16; h = k + 20; k = s + 4; s = l + 12. If r = 3, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 9", "b": "d + 2", "k": "b + 4", "u": "k + 10", "s": "u + 17", "l": "s + 17", "g": "f + 20", "x": "g + 4", "w": "x + 1", "z": "w + 3", "h": "z + 1", "p": "h + 19", "f": 3}, "premises": {"f": 3}, "target": "l"}, "answer": {"steps": [["s", "u + 17", "u + 34"], ["u", "k + 10", "k + 44"], ["k", "b + 4", "b + 48"], ["b", "d + 2", "d + 50"], ["d", "f + 9", "f + 59"], ["f", 3, "62"]], "target_var_name": "l", "target_value": 62, "value_dict": {"f": 3}, "is_reverse": true}} | 16,947 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 3; h = z + 1; x = g + 4; b = d + 2; f = 3; d = f + 9; w = x + 1; g = f + 20; k = b + 4; u = k + 10; l = s + 17; p = h + 19; s = u + 17. Given that f = 3, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 17 to l, which gives l = u + 34.\n2. Substitute u = k + 10 to l, which gives l = k + 44.\n3. Substitute k = b + 4 to l, which gives l = b + 48.\n4. Substitute b = d + 2 to l, which gives l = d + 50.\n5. Substitute d = f + 9 to l, which gives l = f + 59.\n6. Substitute f = 3 to l, which gives l = 62.\n\nThus, the final answer is l = \\boxed{62}.",
"index": 16947,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 3; h = z + 1; x = g + 4; b = d + 2; f = 3; d = f + 9; w = x + 1; g = f + 20; k = b + 4; u = k + 10; l = s + 17; p = h + 19; s = u + 17. Given that f = 3, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 1", "r": "s + 18", "y": "r + 4", "p": "y + 5", "e": "p + 13", "x": "e + 7", "a": "g + 9", "f": "a + 1", "t": "f + 18", "u": "t + 11", "m": "u + 14", "d": "m + 16", "g": 16}, "premises": {"g": 16}, "target": "x"}, "answer": {"steps": [["e", "p + 13", "p + 20"], ["p", "y + 5", "y + 25"], ["y", "r + 4", "r + 29"], ["r", "s + 18", "s + 47"], ["s", "g + 1", "g + 48"], ["g", 16, "64"]], "target_var_name": "x", "target_value": 64, "value_dict": {"g": 16}, "is_reverse": true}} | 16,948 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = g + 9; x = e + 7; y = r + 4; m = u + 14; f = a + 1; u = t + 11; p = y + 5; d = m + 16; g = 16; e = p + 13; r = s + 18; s = g + 1; t = f + 18. Given that g = 16, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 13 to x, which gives x = p + 20.\n2. Substitute p = y + 5 to x, which gives x = y + 25.\n3. Substitute y = r + 4 to x, which gives x = r + 29.\n4. Substitute r = s + 18 to x, which gives x = s + 47.\n5. Substitute s = g + 1 to x, which gives x = g + 48.\n6. Substitute g = 16 to x, which gives x = 64.\n\nThus, the final answer is x = \\boxed{64}.",
"index": 16948,
"question": "Suppose a collection of variables is related by the following definitions: a = g + 9; x = e + 7; y = r + 4; m = u + 14; f = a + 1; u = t + 11; p = y + 5; d = m + 16; g = 16; e = p + 13; r = s + 18; s = g + 1; t = f + 18. Given that g = 16, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"q": "p + 3", "o": "q + 9", "c": "o + 5", "m": "c + 7", "a": "m + 17", "i": "a + 7", "h": "p + 18", "x": "h + 20", "t": "x + 3", "y": "t + 17", "d": "y + 4", "r": "d + 19", "p": 15}, "premises": {"p": 15}, "target": "i"}, "answer": {"steps": [["a", "m + 17", "m + 24"], ["m", "c + 7", "c + 31"], ["c", "o + 5", "o + 36"], ["o", "q + 9", "q + 45"], ["q", "p + 3", "p + 48"], ["p", 15, "63"]], "target_var_name": "i", "target_value": 63, "value_dict": {"p": 15}, "is_reverse": true}} | 16,949 | 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 + 3; x = h + 20; t = x + 3; h = p + 18; p = 15; c = o + 5; r = d + 19; y = t + 17; o = q + 9; a = m + 17; i = a + 7; d = y + 4; m = c + 7. If p = 15, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 17 to i, which gives i = m + 24.\n2. Substitute m = c + 7 to i, which gives i = c + 31.\n3. Substitute c = o + 5 to i, which gives i = o + 36.\n4. Substitute o = q + 9 to i, which gives i = q + 45.\n5. Substitute q = p + 3 to i, which gives i = p + 48.\n6. Substitute p = 15 to i, which gives i = 63.\n\nThus, the final answer is i = \\boxed{63}.",
"index": 16949,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = p + 3; x = h + 20; t = x + 3; h = p + 18; p = 15; c = o + 5; r = d + 19; y = t + 17; o = q + 9; a = m + 17; i = a + 7; d = y + 4; m = c + 7. If p = 15, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 3", "s": "p + 10", "l": "s + 17", "h": "l + 8", "r": "h + 14", "y": "r + 14", "j": "e + 20", "a": "j + 4", "t": "a + 11", "i": "t + 6", "g": "i + 10", "w": "g + 17", "e": 5}, "premises": {"e": 5}, "target": "y"}, "answer": {"steps": [["r", "h + 14", "h + 28"], ["h", "l + 8", "l + 36"], ["l", "s + 17", "s + 53"], ["s", "p + 10", "p + 63"], ["p", "e + 3", "e + 66"], ["e", 5, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"e": 5}, "is_reverse": true}} | 16,950 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = g + 17; s = p + 10; l = s + 17; j = e + 20; y = r + 14; r = h + 14; a = j + 4; t = a + 11; e = 5; p = e + 3; g = i + 10; i = t + 6; h = l + 8. Given that e = 5, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 14 to y, which gives y = h + 28.\n2. Substitute h = l + 8 to y, which gives y = l + 36.\n3. Substitute l = s + 17 to y, which gives y = s + 53.\n4. Substitute s = p + 10 to y, which gives y = p + 63.\n5. Substitute p = e + 3 to y, which gives y = e + 66.\n6. Substitute e = 5 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 16950,
"question": "Suppose a collection of variables is related by the following definitions: w = g + 17; s = p + 10; l = s + 17; j = e + 20; y = r + 14; r = h + 14; a = j + 4; t = a + 11; e = 5; p = e + 3; g = i + 10; i = t + 6; h = l + 8. Given that e = 5, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 6", "l": "d + 6", "q": "l + 3", "w": "q + 16", "r": "w + 9", "m": "r + 4", "h": "z + 16", "x": "h + 17", "v": "x + 4", "b": "v + 11", "u": "b + 1", "y": "u + 11", "z": 9}, "premises": {"z": 9}, "target": "m"}, "answer": {"steps": [["r", "w + 9", "w + 13"], ["w", "q + 16", "q + 29"], ["q", "l + 3", "l + 32"], ["l", "d + 6", "d + 38"], ["d", "z + 6", "z + 44"], ["z", 9, "53"]], "target_var_name": "m", "target_value": 53, "value_dict": {"z": 9}, "is_reverse": true}} | 16,951 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = u + 11; w = q + 16; q = l + 3; m = r + 4; z = 9; b = v + 11; r = w + 9; d = z + 6; u = b + 1; v = x + 4; x = h + 17; l = d + 6; h = z + 16. If z = 9, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 9 to m, which gives m = w + 13.\n2. Substitute w = q + 16 to m, which gives m = q + 29.\n3. Substitute q = l + 3 to m, which gives m = l + 32.\n4. Substitute l = d + 6 to m, which gives m = d + 38.\n5. Substitute d = z + 6 to m, which gives m = z + 44.\n6. Substitute z = 9 to m, which gives m = 53.\n\nThus, the final answer is m = \\boxed{53}.",
"index": 16951,
"question": "Consider a system of variables where each variable is defined as follows: y = u + 11; w = q + 16; q = l + 3; m = r + 4; z = 9; b = v + 11; r = w + 9; d = z + 6; u = b + 1; v = x + 4; x = h + 17; l = d + 6; h = z + 16. If z = 9, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 12", "o": "t + 5", "r": "o + 18", "h": "r + 6", "q": "h + 9", "c": "q + 18", "z": "u + 5", "l": "z + 13", "e": "l + 10", "x": "e + 4", "s": "x + 9", "k": "s + 2", "u": 2}, "premises": {"u": 2}, "target": "c"}, "answer": {"steps": [["q", "h + 9", "h + 27"], ["h", "r + 6", "r + 33"], ["r", "o + 18", "o + 51"], ["o", "t + 5", "t + 56"], ["t", "u + 12", "u + 68"], ["u", 2, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"u": 2}, "is_reverse": true}} | 16,952 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 18; z = u + 5; x = e + 4; h = r + 6; e = l + 10; s = x + 9; o = t + 5; l = z + 13; q = h + 9; u = 2; t = u + 12; r = o + 18; k = s + 2. If u = 2, what is the resulting 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 q = h + 9 to c, which gives c = h + 27.\n2. Substitute h = r + 6 to c, which gives c = r + 33.\n3. Substitute r = o + 18 to c, which gives c = o + 51.\n4. Substitute o = t + 5 to c, which gives c = t + 56.\n5. Substitute t = u + 12 to c, which gives c = u + 68.\n6. Substitute u = 2 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 16952,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 18; z = u + 5; x = e + 4; h = r + 6; e = l + 10; s = x + 9; o = t + 5; l = z + 13; q = h + 9; u = 2; t = u + 12; r = o + 18; k = s + 2. If u = 2, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 17", "c": "m + 18", "x": "c + 12", "n": "x + 7", "g": "n + 18", "j": "g + 13", "t": "i + 16", "f": "t + 6", "z": "f + 12", "v": "z + 12", "q": "v + 3", "h": "q + 11", "i": 11}, "premises": {"i": 11}, "target": "j"}, "answer": {"steps": [["g", "n + 18", "n + 31"], ["n", "x + 7", "x + 38"], ["x", "c + 12", "c + 50"], ["c", "m + 18", "m + 68"], ["m", "i + 17", "i + 85"], ["i", 11, "96"]], "target_var_name": "j", "target_value": 96, "value_dict": {"i": 11}, "is_reverse": true}} | 16,953 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = i + 17; c = m + 18; i = 11; f = t + 6; q = v + 3; x = c + 12; g = n + 18; v = z + 12; t = i + 16; z = f + 12; h = q + 11; j = g + 13; n = x + 7. Given that i = 11, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 18 to j, which gives j = n + 31.\n2. Substitute n = x + 7 to j, which gives j = x + 38.\n3. Substitute x = c + 12 to j, which gives j = c + 50.\n4. Substitute c = m + 18 to j, which gives j = m + 68.\n5. Substitute m = i + 17 to j, which gives j = i + 85.\n6. Substitute i = 11 to j, which gives j = 96.\n\nThus, the final answer is j = \\boxed{96}.",
"index": 16953,
"question": "Suppose a collection of variables is related by the following definitions: m = i + 17; c = m + 18; i = 11; f = t + 6; q = v + 3; x = c + 12; g = n + 18; v = z + 12; t = i + 16; z = f + 12; h = q + 11; j = g + 13; n = x + 7. Given that i = 11, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 1", "t": "k + 13", "x": "t + 18", "w": "x + 1", "c": "w + 20", "f": "c + 19", "e": "p + 16", "y": "e + 3", "r": "y + 12", "b": "r + 9", "v": "b + 12", "u": "v + 6", "p": 18}, "premises": {"p": 18}, "target": "f"}, "answer": {"steps": [["c", "w + 20", "w + 39"], ["w", "x + 1", "x + 40"], ["x", "t + 18", "t + 58"], ["t", "k + 13", "k + 71"], ["k", "p + 1", "p + 72"], ["p", 18, "90"]], "target_var_name": "f", "target_value": 90, "value_dict": {"p": 18}, "is_reverse": true}} | 16,954 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = p + 1; e = p + 16; u = v + 6; x = t + 18; c = w + 20; f = c + 19; v = b + 12; t = k + 13; r = y + 12; y = e + 3; p = 18; b = r + 9; w = x + 1. If p = 18, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 20 to f, which gives f = w + 39.\n2. Substitute w = x + 1 to f, which gives f = x + 40.\n3. Substitute x = t + 18 to f, which gives f = t + 58.\n4. Substitute t = k + 13 to f, which gives f = k + 71.\n5. Substitute k = p + 1 to f, which gives f = p + 72.\n6. Substitute p = 18 to f, which gives f = 90.\n\nThus, the final answer is f = \\boxed{90}.",
"index": 16954,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = p + 1; e = p + 16; u = v + 6; x = t + 18; c = w + 20; f = c + 19; v = b + 12; t = k + 13; r = y + 12; y = e + 3; p = 18; b = r + 9; w = x + 1. If p = 18, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"s": "b + 3", "h": "s + 17", "e": "h + 1", "m": "e + 1", "p": "m + 4", "v": "p + 18", "a": "b + 6", "c": "a + 15", "x": "c + 14", "z": "x + 11", "j": "z + 9", "t": "j + 2", "b": 16}, "premises": {"b": 16}, "target": "v"}, "answer": {"steps": [["p", "m + 4", "m + 22"], ["m", "e + 1", "e + 23"], ["e", "h + 1", "h + 24"], ["h", "s + 17", "s + 41"], ["s", "b + 3", "b + 44"], ["b", 16, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"b": 16}, "is_reverse": true}} | 16,955 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = x + 11; j = z + 9; c = a + 15; x = c + 14; b = 16; m = e + 1; h = s + 17; t = j + 2; e = h + 1; a = b + 6; p = m + 4; s = b + 3; v = p + 18. If b = 16, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 4 to v, which gives v = m + 22.\n2. Substitute m = e + 1 to v, which gives v = e + 23.\n3. Substitute e = h + 1 to v, which gives v = h + 24.\n4. Substitute h = s + 17 to v, which gives v = s + 41.\n5. Substitute s = b + 3 to v, which gives v = b + 44.\n6. Substitute b = 16 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 16955,
"question": "Consider a system of variables where each variable is defined as follows: z = x + 11; j = z + 9; c = a + 15; x = c + 14; b = 16; m = e + 1; h = s + 17; t = j + 2; e = h + 1; a = b + 6; p = m + 4; s = b + 3; v = p + 18. If b = 16, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 18", "t": "r + 13", "w": "t + 4", "g": "w + 20", "n": "g + 5", "i": "n + 10", "v": "j + 7", "b": "v + 11", "p": "b + 7", "y": "p + 1", "z": "y + 13", "f": "z + 20", "j": 17}, "premises": {"j": 17}, "target": "i"}, "answer": {"steps": [["n", "g + 5", "g + 15"], ["g", "w + 20", "w + 35"], ["w", "t + 4", "t + 39"], ["t", "r + 13", "r + 52"], ["r", "j + 18", "j + 70"], ["j", 17, "87"]], "target_var_name": "i", "target_value": 87, "value_dict": {"j": 17}, "is_reverse": true}} | 16,956 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = w + 20; w = t + 4; f = z + 20; n = g + 5; t = r + 13; v = j + 7; z = y + 13; r = j + 18; b = v + 11; p = b + 7; j = 17; y = p + 1; i = n + 10. If j = 17, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 5 to i, which gives i = g + 15.\n2. Substitute g = w + 20 to i, which gives i = w + 35.\n3. Substitute w = t + 4 to i, which gives i = t + 39.\n4. Substitute t = r + 13 to i, which gives i = r + 52.\n5. Substitute r = j + 18 to i, which gives i = j + 70.\n6. Substitute j = 17 to i, which gives i = 87.\n\nThus, the final answer is i = \\boxed{87}.",
"index": 16956,
"question": "Consider a system of variables where each variable is defined as follows: g = w + 20; w = t + 4; f = z + 20; n = g + 5; t = r + 13; v = j + 7; z = y + 13; r = j + 18; b = v + 11; p = b + 7; j = 17; y = p + 1; i = n + 10. If j = 17, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 8", "p": "s + 2", "g": "p + 3", "d": "g + 20", "i": "d + 3", "t": "i + 4", "h": "f + 20", "v": "h + 6", "l": "v + 16", "n": "l + 18", "k": "n + 18", "q": "k + 8", "f": 20}, "premises": {"f": 20}, "target": "t"}, "answer": {"steps": [["i", "d + 3", "d + 7"], ["d", "g + 20", "g + 27"], ["g", "p + 3", "p + 30"], ["p", "s + 2", "s + 32"], ["s", "f + 8", "f + 40"], ["f", 20, "60"]], "target_var_name": "t", "target_value": 60, "value_dict": {"f": 20}, "is_reverse": true}} | 16,957 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = v + 16; d = g + 20; h = f + 20; p = s + 2; g = p + 3; q = k + 8; v = h + 6; i = d + 3; f = 20; k = n + 18; n = l + 18; t = i + 4; s = f + 8. If f = 20, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 3 to t, which gives t = d + 7.\n2. Substitute d = g + 20 to t, which gives t = g + 27.\n3. Substitute g = p + 3 to t, which gives t = p + 30.\n4. Substitute p = s + 2 to t, which gives t = s + 32.\n5. Substitute s = f + 8 to t, which gives t = f + 40.\n6. Substitute f = 20 to t, which gives t = 60.\n\nThus, the final answer is t = \\boxed{60}.",
"index": 16957,
"question": "Consider a system of variables where each variable is defined as follows: l = v + 16; d = g + 20; h = f + 20; p = s + 2; g = p + 3; q = k + 8; v = h + 6; i = d + 3; f = 20; k = n + 18; n = l + 18; t = i + 4; s = f + 8. If f = 20, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 1", "y": "g + 4", "q": "y + 3", "o": "q + 11", "u": "o + 1", "a": "u + 19", "i": "d + 12", "e": "i + 14", "n": "e + 11", "x": "n + 17", "s": "x + 13", "b": "s + 12", "d": 3}, "premises": {"d": 3}, "target": "a"}, "answer": {"steps": [["u", "o + 1", "o + 20"], ["o", "q + 11", "q + 31"], ["q", "y + 3", "y + 34"], ["y", "g + 4", "g + 38"], ["g", "d + 1", "d + 39"], ["d", 3, "42"]], "target_var_name": "a", "target_value": 42, "value_dict": {"d": 3}, "is_reverse": true}} | 16,958 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = i + 14; i = d + 12; g = d + 1; n = e + 11; u = o + 1; a = u + 19; b = s + 12; d = 3; q = y + 3; x = n + 17; s = x + 13; y = g + 4; o = q + 11. Given that d = 3, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 1 to a, which gives a = o + 20.\n2. Substitute o = q + 11 to a, which gives a = q + 31.\n3. Substitute q = y + 3 to a, which gives a = y + 34.\n4. Substitute y = g + 4 to a, which gives a = g + 38.\n5. Substitute g = d + 1 to a, which gives a = d + 39.\n6. Substitute d = 3 to a, which gives a = 42.\n\nThus, the final answer is a = \\boxed{42}.",
"index": 16958,
"question": "Suppose a collection of variables is related by the following definitions: e = i + 14; i = d + 12; g = d + 1; n = e + 11; u = o + 1; a = u + 19; b = s + 12; d = 3; q = y + 3; x = n + 17; s = x + 13; y = g + 4; o = q + 11. Given that d = 3, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 12", "h": "l + 19", "c": "h + 6", "w": "c + 8", "m": "w + 1", "q": "m + 16", "a": "g + 12", "s": "a + 7", "k": "s + 1", "z": "k + 15", "n": "z + 18", "o": "n + 3", "g": 3}, "premises": {"g": 3}, "target": "q"}, "answer": {"steps": [["m", "w + 1", "w + 17"], ["w", "c + 8", "c + 25"], ["c", "h + 6", "h + 31"], ["h", "l + 19", "l + 50"], ["l", "g + 12", "g + 62"], ["g", 3, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"g": 3}, "is_reverse": true}} | 16,959 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 8; l = g + 12; o = n + 3; g = 3; h = l + 19; n = z + 18; m = w + 1; k = s + 1; c = h + 6; a = g + 12; s = a + 7; z = k + 15; q = m + 16. If g = 3, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 1 to q, which gives q = w + 17.\n2. Substitute w = c + 8 to q, which gives q = c + 25.\n3. Substitute c = h + 6 to q, which gives q = h + 31.\n4. Substitute h = l + 19 to q, which gives q = l + 50.\n5. Substitute l = g + 12 to q, which gives q = g + 62.\n6. Substitute g = 3 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 16959,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 8; l = g + 12; o = n + 3; g = 3; h = l + 19; n = z + 18; m = w + 1; k = s + 1; c = h + 6; a = g + 12; s = a + 7; z = k + 15; q = m + 16. If g = 3, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 6", "d": "u + 10", "q": "d + 17", "n": "q + 19", "h": "n + 14", "o": "h + 20", "v": "f + 1", "a": "v + 1", "c": "a + 9", "y": "c + 1", "x": "y + 3", "e": "x + 18", "f": 6}, "premises": {"f": 6}, "target": "o"}, "answer": {"steps": [["h", "n + 14", "n + 34"], ["n", "q + 19", "q + 53"], ["q", "d + 17", "d + 70"], ["d", "u + 10", "u + 80"], ["u", "f + 6", "f + 86"], ["f", 6, "92"]], "target_var_name": "o", "target_value": 92, "value_dict": {"f": 6}, "is_reverse": true}} | 16,960 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = a + 9; y = c + 1; f = 6; u = f + 6; a = v + 1; x = y + 3; n = q + 19; d = u + 10; e = x + 18; h = n + 14; v = f + 1; q = d + 17; o = h + 20. Given that f = 6, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 14 to o, which gives o = n + 34.\n2. Substitute n = q + 19 to o, which gives o = q + 53.\n3. Substitute q = d + 17 to o, which gives o = d + 70.\n4. Substitute d = u + 10 to o, which gives o = u + 80.\n5. Substitute u = f + 6 to o, which gives o = f + 86.\n6. Substitute f = 6 to o, which gives o = 92.\n\nThus, the final answer is o = \\boxed{92}.",
"index": 16960,
"question": "Suppose a collection of variables is related by the following definitions: c = a + 9; y = c + 1; f = 6; u = f + 6; a = v + 1; x = y + 3; n = q + 19; d = u + 10; e = x + 18; h = n + 14; v = f + 1; q = d + 17; o = h + 20. Given that f = 6, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 1", "v": "r + 1", "t": "v + 14", "e": "t + 3", "g": "e + 19", "i": "g + 11", "z": "m + 9", "j": "z + 2", "b": "j + 4", "c": "b + 13", "a": "c + 15", "n": "a + 2", "m": 8}, "premises": {"m": 8}, "target": "i"}, "answer": {"steps": [["g", "e + 19", "e + 30"], ["e", "t + 3", "t + 33"], ["t", "v + 14", "v + 47"], ["v", "r + 1", "r + 48"], ["r", "m + 1", "m + 49"], ["m", 8, "57"]], "target_var_name": "i", "target_value": 57, "value_dict": {"m": 8}, "is_reverse": true}} | 16,961 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = g + 11; v = r + 1; c = b + 13; g = e + 19; e = t + 3; b = j + 4; m = 8; t = v + 14; a = c + 15; j = z + 2; z = m + 9; n = a + 2; r = m + 1. Given that m = 8, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 19 to i, which gives i = e + 30.\n2. Substitute e = t + 3 to i, which gives i = t + 33.\n3. Substitute t = v + 14 to i, which gives i = v + 47.\n4. Substitute v = r + 1 to i, which gives i = r + 48.\n5. Substitute r = m + 1 to i, which gives i = m + 49.\n6. Substitute m = 8 to i, which gives i = 57.\n\nThus, the final answer is i = \\boxed{57}.",
"index": 16961,
"question": "Suppose a collection of variables is related by the following definitions: i = g + 11; v = r + 1; c = b + 13; g = e + 19; e = t + 3; b = j + 4; m = 8; t = v + 14; a = c + 15; j = z + 2; z = m + 9; n = a + 2; r = m + 1. Given that m = 8, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 18", "d": "n + 8", "q": "d + 11", "f": "q + 19", "y": "f + 4", "w": "y + 2", "a": "c + 3", "i": "a + 5", "u": "i + 6", "j": "u + 18", "r": "j + 3", "z": "r + 7", "c": 6}, "premises": {"c": 6}, "target": "w"}, "answer": {"steps": [["y", "f + 4", "f + 6"], ["f", "q + 19", "q + 25"], ["q", "d + 11", "d + 36"], ["d", "n + 8", "n + 44"], ["n", "c + 18", "c + 62"], ["c", 6, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"c": 6}, "is_reverse": true}} | 16,962 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = d + 11; u = i + 6; n = c + 18; d = n + 8; r = j + 3; i = a + 5; f = q + 19; y = f + 4; c = 6; j = u + 18; w = y + 2; z = r + 7; a = c + 3. Given that c = 6, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 4 to w, which gives w = f + 6.\n2. Substitute f = q + 19 to w, which gives w = q + 25.\n3. Substitute q = d + 11 to w, which gives w = d + 36.\n4. Substitute d = n + 8 to w, which gives w = n + 44.\n5. Substitute n = c + 18 to w, which gives w = c + 62.\n6. Substitute c = 6 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 16962,
"question": "Suppose a collection of variables is related by the following definitions: q = d + 11; u = i + 6; n = c + 18; d = n + 8; r = j + 3; i = a + 5; f = q + 19; y = f + 4; c = 6; j = u + 18; w = y + 2; z = r + 7; a = c + 3. Given that c = 6, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 17", "i": "d + 9", "v": "i + 14", "j": "v + 10", "y": "j + 3", "r": "y + 1", "m": "n + 16", "z": "m + 16", "c": "z + 5", "k": "c + 16", "x": "k + 14", "o": "x + 16", "n": 4}, "premises": {"n": 4}, "target": "r"}, "answer": {"steps": [["y", "j + 3", "j + 4"], ["j", "v + 10", "v + 14"], ["v", "i + 14", "i + 28"], ["i", "d + 9", "d + 37"], ["d", "n + 17", "n + 54"], ["n", 4, "58"]], "target_var_name": "r", "target_value": 58, "value_dict": {"n": 4}, "is_reverse": true}} | 16,963 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = z + 5; i = d + 9; k = c + 16; j = v + 10; v = i + 14; r = y + 1; y = j + 3; o = x + 16; x = k + 14; m = n + 16; z = m + 16; d = n + 17; n = 4. If n = 4, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 3 to r, which gives r = j + 4.\n2. Substitute j = v + 10 to r, which gives r = v + 14.\n3. Substitute v = i + 14 to r, which gives r = i + 28.\n4. Substitute i = d + 9 to r, which gives r = d + 37.\n5. Substitute d = n + 17 to r, which gives r = n + 54.\n6. Substitute n = 4 to r, which gives r = 58.\n\nThus, the final answer is r = \\boxed{58}.",
"index": 16963,
"question": "Consider a system of variables where each variable is defined as follows: c = z + 5; i = d + 9; k = c + 16; j = v + 10; v = i + 14; r = y + 1; y = j + 3; o = x + 16; x = k + 14; m = n + 16; z = m + 16; d = n + 17; n = 4. If n = 4, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 17", "z": "l + 11", "o": "z + 12", "a": "o + 1", "p": "a + 4", "t": "p + 15", "r": "g + 18", "v": "r + 15", "j": "v + 17", "h": "j + 19", "d": "h + 20", "e": "d + 13", "g": 11}, "premises": {"g": 11}, "target": "t"}, "answer": {"steps": [["p", "a + 4", "a + 19"], ["a", "o + 1", "o + 20"], ["o", "z + 12", "z + 32"], ["z", "l + 11", "l + 43"], ["l", "g + 17", "g + 60"], ["g", 11, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"g": 11}, "is_reverse": true}} | 16,964 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = z + 12; g = 11; z = l + 11; r = g + 18; v = r + 15; a = o + 1; d = h + 20; e = d + 13; l = g + 17; p = a + 4; h = j + 19; t = p + 15; j = v + 17. Given that g = 11, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 4 to t, which gives t = a + 19.\n2. Substitute a = o + 1 to t, which gives t = o + 20.\n3. Substitute o = z + 12 to t, which gives t = z + 32.\n4. Substitute z = l + 11 to t, which gives t = l + 43.\n5. Substitute l = g + 17 to t, which gives t = g + 60.\n6. Substitute g = 11 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 16964,
"question": "Suppose a collection of variables is related by the following definitions: o = z + 12; g = 11; z = l + 11; r = g + 18; v = r + 15; a = o + 1; d = h + 20; e = d + 13; l = g + 17; p = a + 4; h = j + 19; t = p + 15; j = v + 17. Given that g = 11, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 12", "d": "x + 5", "q": "d + 5", "v": "q + 4", "o": "v + 2", "c": "o + 16", "g": "w + 8", "a": "g + 16", "h": "a + 18", "s": "h + 8", "j": "s + 9", "k": "j + 9", "w": 15}, "premises": {"w": 15}, "target": "c"}, "answer": {"steps": [["o", "v + 2", "v + 18"], ["v", "q + 4", "q + 22"], ["q", "d + 5", "d + 27"], ["d", "x + 5", "x + 32"], ["x", "w + 12", "w + 44"], ["w", 15, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"w": 15}, "is_reverse": true}} | 16,965 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = g + 16; c = o + 16; s = h + 8; j = s + 9; v = q + 4; d = x + 5; x = w + 12; o = v + 2; g = w + 8; w = 15; q = d + 5; h = a + 18; k = j + 9. If w = 15, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 2 to c, which gives c = v + 18.\n2. Substitute v = q + 4 to c, which gives c = q + 22.\n3. Substitute q = d + 5 to c, which gives c = d + 27.\n4. Substitute d = x + 5 to c, which gives c = x + 32.\n5. Substitute x = w + 12 to c, which gives c = w + 44.\n6. Substitute w = 15 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 16965,
"question": "Consider a system of variables where each variable is defined as follows: a = g + 16; c = o + 16; s = h + 8; j = s + 9; v = q + 4; d = x + 5; x = w + 12; o = v + 2; g = w + 8; w = 15; q = d + 5; h = a + 18; k = j + 9. If w = 15, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"h": "n + 18", "p": "h + 5", "t": "p + 9", "m": "t + 9", "b": "m + 6", "j": "b + 13", "l": "n + 20", "u": "l + 1", "y": "u + 16", "x": "y + 14", "e": "x + 1", "i": "e + 12", "n": 13}, "premises": {"n": 13}, "target": "j"}, "answer": {"steps": [["b", "m + 6", "m + 19"], ["m", "t + 9", "t + 28"], ["t", "p + 9", "p + 37"], ["p", "h + 5", "h + 42"], ["h", "n + 18", "n + 60"], ["n", 13, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"n": 13}, "is_reverse": true}} | 16,966 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = l + 1; y = u + 16; j = b + 13; x = y + 14; p = h + 5; h = n + 18; i = e + 12; b = m + 6; e = x + 1; t = p + 9; l = n + 20; m = t + 9; n = 13. If n = 13, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 6 to j, which gives j = m + 19.\n2. Substitute m = t + 9 to j, which gives j = t + 28.\n3. Substitute t = p + 9 to j, which gives j = p + 37.\n4. Substitute p = h + 5 to j, which gives j = h + 42.\n5. Substitute h = n + 18 to j, which gives j = n + 60.\n6. Substitute n = 13 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 16966,
"question": "Consider a system of variables where each variable is defined as follows: u = l + 1; y = u + 16; j = b + 13; x = y + 14; p = h + 5; h = n + 18; i = e + 12; b = m + 6; e = x + 1; t = p + 9; l = n + 20; m = t + 9; n = 13. If n = 13, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 19", "l": "d + 15", "p": "l + 16", "m": "p + 20", "g": "m + 2", "v": "g + 2", "a": "o + 2", "f": "a + 8", "r": "f + 8", "q": "r + 19", "s": "q + 12", "h": "s + 16", "o": 6}, "premises": {"o": 6}, "target": "v"}, "answer": {"steps": [["g", "m + 2", "m + 4"], ["m", "p + 20", "p + 24"], ["p", "l + 16", "l + 40"], ["l", "d + 15", "d + 55"], ["d", "o + 19", "o + 74"], ["o", 6, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"o": 6}, "is_reverse": true}} | 16,967 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = 6; m = p + 20; q = r + 19; g = m + 2; s = q + 12; a = o + 2; d = o + 19; p = l + 16; h = s + 16; v = g + 2; r = f + 8; l = d + 15; f = a + 8. Given that o = 6, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 2 to v, which gives v = m + 4.\n2. Substitute m = p + 20 to v, which gives v = p + 24.\n3. Substitute p = l + 16 to v, which gives v = l + 40.\n4. Substitute l = d + 15 to v, which gives v = d + 55.\n5. Substitute d = o + 19 to v, which gives v = o + 74.\n6. Substitute o = 6 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 16967,
"question": "Suppose a collection of variables is related by the following definitions: o = 6; m = p + 20; q = r + 19; g = m + 2; s = q + 12; a = o + 2; d = o + 19; p = l + 16; h = s + 16; v = g + 2; r = f + 8; l = d + 15; f = a + 8. Given that o = 6, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "z + 7", "t": "v + 13", "u": "t + 7", "m": "u + 20", "n": "m + 13", "p": "n + 19", "e": "z + 18", "f": "e + 19", "k": "f + 2", "y": "k + 20", "i": "y + 5", "l": "i + 19", "z": 4}, "premises": {"z": 4}, "target": "p"}, "answer": {"steps": [["n", "m + 13", "m + 32"], ["m", "u + 20", "u + 52"], ["u", "t + 7", "t + 59"], ["t", "v + 13", "v + 72"], ["v", "z + 7", "z + 79"], ["z", 4, "83"]], "target_var_name": "p", "target_value": 83, "value_dict": {"z": 4}, "is_reverse": true}} | 16,968 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = y + 5; z = 4; m = u + 20; v = z + 7; l = i + 19; y = k + 20; k = f + 2; p = n + 19; u = t + 7; f = e + 19; n = m + 13; t = v + 13; e = z + 18. If z = 4, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 13 to p, which gives p = m + 32.\n2. Substitute m = u + 20 to p, which gives p = u + 52.\n3. Substitute u = t + 7 to p, which gives p = t + 59.\n4. Substitute t = v + 13 to p, which gives p = v + 72.\n5. Substitute v = z + 7 to p, which gives p = z + 79.\n6. Substitute z = 4 to p, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 16968,
"question": "Consider a system of variables where each variable is defined as follows: i = y + 5; z = 4; m = u + 20; v = z + 7; l = i + 19; y = k + 20; k = f + 2; p = n + 19; u = t + 7; f = e + 19; n = m + 13; t = v + 13; e = z + 18. If z = 4, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 11", "o": "s + 6", "z": "o + 19", "d": "z + 18", "x": "d + 4", "t": "x + 4", "w": "p + 8", "a": "w + 1", "h": "a + 19", "l": "h + 8", "e": "l + 4", "f": "e + 2", "p": 15}, "premises": {"p": 15}, "target": "t"}, "answer": {"steps": [["x", "d + 4", "d + 8"], ["d", "z + 18", "z + 26"], ["z", "o + 19", "o + 45"], ["o", "s + 6", "s + 51"], ["s", "p + 11", "p + 62"], ["p", 15, "77"]], "target_var_name": "t", "target_value": 77, "value_dict": {"p": 15}, "is_reverse": true}} | 16,969 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = e + 2; h = a + 19; e = l + 4; x = d + 4; s = p + 11; o = s + 6; d = z + 18; a = w + 1; p = 15; w = p + 8; z = o + 19; t = x + 4; l = h + 8. If p = 15, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 4 to t, which gives t = d + 8.\n2. Substitute d = z + 18 to t, which gives t = z + 26.\n3. Substitute z = o + 19 to t, which gives t = o + 45.\n4. Substitute o = s + 6 to t, which gives t = s + 51.\n5. Substitute s = p + 11 to t, which gives t = p + 62.\n6. Substitute p = 15 to t, which gives t = 77.\n\nThus, the final answer is t = \\boxed{77}.",
"index": 16969,
"question": "Consider a system of variables where each variable is defined as follows: f = e + 2; h = a + 19; e = l + 4; x = d + 4; s = p + 11; o = s + 6; d = z + 18; a = w + 1; p = 15; w = p + 8; z = o + 19; t = x + 4; l = h + 8. If p = 15, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 14", "g": "z + 4", "t": "g + 7", "r": "t + 6", "k": "r + 14", "v": "k + 17", "m": "d + 11", "q": "m + 5", "f": "q + 12", "c": "f + 16", "y": "c + 17", "j": "y + 18", "d": 11}, "premises": {"d": 11}, "target": "v"}, "answer": {"steps": [["k", "r + 14", "r + 31"], ["r", "t + 6", "t + 37"], ["t", "g + 7", "g + 44"], ["g", "z + 4", "z + 48"], ["z", "d + 14", "d + 62"], ["d", 11, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"d": 11}, "is_reverse": true}} | 16,970 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = 11; m = d + 11; c = f + 16; k = r + 14; t = g + 7; v = k + 17; z = d + 14; q = m + 5; j = y + 18; f = q + 12; y = c + 17; g = z + 4; r = t + 6. Given that d = 11, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 14 to v, which gives v = r + 31.\n2. Substitute r = t + 6 to v, which gives v = t + 37.\n3. Substitute t = g + 7 to v, which gives v = g + 44.\n4. Substitute g = z + 4 to v, which gives v = z + 48.\n5. Substitute z = d + 14 to v, which gives v = d + 62.\n6. Substitute d = 11 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 16970,
"question": "Suppose a collection of variables is related by the following definitions: d = 11; m = d + 11; c = f + 16; k = r + 14; t = g + 7; v = k + 17; z = d + 14; q = m + 5; j = y + 18; f = q + 12; y = c + 17; g = z + 4; r = t + 6. Given that d = 11, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 5", "f": "o + 8", "h": "f + 2", "n": "h + 20", "v": "n + 20", "y": "v + 15", "l": "m + 9", "r": "l + 7", "b": "r + 20", "s": "b + 3", "c": "s + 15", "q": "c + 20", "m": 14}, "premises": {"m": 14}, "target": "y"}, "answer": {"steps": [["v", "n + 20", "n + 35"], ["n", "h + 20", "h + 55"], ["h", "f + 2", "f + 57"], ["f", "o + 8", "o + 65"], ["o", "m + 5", "m + 70"], ["m", 14, "84"]], "target_var_name": "y", "target_value": 84, "value_dict": {"m": 14}, "is_reverse": true}} | 16,971 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = 14; l = m + 9; r = l + 7; n = h + 20; s = b + 3; v = n + 20; f = o + 8; q = c + 20; c = s + 15; y = v + 15; o = m + 5; h = f + 2; b = r + 20. If m = 14, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 20 to y, which gives y = n + 35.\n2. Substitute n = h + 20 to y, which gives y = h + 55.\n3. Substitute h = f + 2 to y, which gives y = f + 57.\n4. Substitute f = o + 8 to y, which gives y = o + 65.\n5. Substitute o = m + 5 to y, which gives y = m + 70.\n6. Substitute m = 14 to y, which gives y = 84.\n\nThus, the final answer is y = \\boxed{84}.",
"index": 16971,
"question": "Consider a system of variables where each variable is defined as follows: m = 14; l = m + 9; r = l + 7; n = h + 20; s = b + 3; v = n + 20; f = o + 8; q = c + 20; c = s + 15; y = v + 15; o = m + 5; h = f + 2; b = r + 20. If m = 14, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 6", "n": "q + 4", "b": "n + 8", "i": "b + 18", "f": "i + 14", "j": "f + 7", "t": "o + 12", "y": "t + 2", "z": "y + 3", "h": "z + 1", "p": "h + 15", "v": "p + 17", "o": 10}, "premises": {"o": 10}, "target": "j"}, "answer": {"steps": [["f", "i + 14", "i + 21"], ["i", "b + 18", "b + 39"], ["b", "n + 8", "n + 47"], ["n", "q + 4", "q + 51"], ["q", "o + 6", "o + 57"], ["o", 10, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"o": 10}, "is_reverse": true}} | 16,972 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = h + 15; v = p + 17; y = t + 2; b = n + 8; q = o + 6; t = o + 12; j = f + 7; o = 10; z = y + 3; i = b + 18; h = z + 1; f = i + 14; n = q + 4. If o = 10, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 14 to j, which gives j = i + 21.\n2. Substitute i = b + 18 to j, which gives j = b + 39.\n3. Substitute b = n + 8 to j, which gives j = n + 47.\n4. Substitute n = q + 4 to j, which gives j = q + 51.\n5. Substitute q = o + 6 to j, which gives j = o + 57.\n6. Substitute o = 10 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 16972,
"question": "Consider a system of variables where each variable is defined as follows: p = h + 15; v = p + 17; y = t + 2; b = n + 8; q = o + 6; t = o + 12; j = f + 7; o = 10; z = y + 3; i = b + 18; h = z + 1; f = i + 14; n = q + 4. If o = 10, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 16", "i": "j + 3", "x": "i + 6", "y": "x + 7", "k": "y + 1", "u": "k + 8", "l": "b + 14", "m": "l + 13", "s": "m + 10", "c": "s + 14", "w": "c + 17", "f": "w + 4", "b": 12}, "premises": {"b": 12}, "target": "u"}, "answer": {"steps": [["k", "y + 1", "y + 9"], ["y", "x + 7", "x + 16"], ["x", "i + 6", "i + 22"], ["i", "j + 3", "j + 25"], ["j", "b + 16", "b + 41"], ["b", 12, "53"]], "target_var_name": "u", "target_value": 53, "value_dict": {"b": 12}, "is_reverse": true}} | 16,973 | 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 = s + 14; x = i + 6; i = j + 3; f = w + 4; b = 12; l = b + 14; m = l + 13; k = y + 1; s = m + 10; j = b + 16; w = c + 17; u = k + 8; y = x + 7. If b = 12, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 1 to u, which gives u = y + 9.\n2. Substitute y = x + 7 to u, which gives u = x + 16.\n3. Substitute x = i + 6 to u, which gives u = i + 22.\n4. Substitute i = j + 3 to u, which gives u = j + 25.\n5. Substitute j = b + 16 to u, which gives u = b + 41.\n6. Substitute b = 12 to u, which gives u = 53.\n\nThus, the final answer is u = \\boxed{53}.",
"index": 16973,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = s + 14; x = i + 6; i = j + 3; f = w + 4; b = 12; l = b + 14; m = l + 13; k = y + 1; s = m + 10; j = b + 16; w = c + 17; u = k + 8; y = x + 7. If b = 12, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"x": "z + 11", "j": "x + 10", "t": "j + 17", "r": "t + 8", "u": "r + 16", "c": "u + 9", "o": "z + 2", "d": "o + 16", "k": "d + 5", "g": "k + 10", "h": "g + 12", "n": "h + 14", "z": 16}, "premises": {"z": 16}, "target": "c"}, "answer": {"steps": [["u", "r + 16", "r + 25"], ["r", "t + 8", "t + 33"], ["t", "j + 17", "j + 50"], ["j", "x + 10", "x + 60"], ["x", "z + 11", "z + 71"], ["z", 16, "87"]], "target_var_name": "c", "target_value": 87, "value_dict": {"z": 16}, "is_reverse": true}} | 16,974 | 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 = x + 10; r = t + 8; c = u + 9; g = k + 10; u = r + 16; d = o + 16; x = z + 11; h = g + 12; z = 16; o = z + 2; k = d + 5; t = j + 17; n = h + 14. If z = 16, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 16 to c, which gives c = r + 25.\n2. Substitute r = t + 8 to c, which gives c = t + 33.\n3. Substitute t = j + 17 to c, which gives c = j + 50.\n4. Substitute j = x + 10 to c, which gives c = x + 60.\n5. Substitute x = z + 11 to c, which gives c = z + 71.\n6. Substitute z = 16 to c, which gives c = 87.\n\nThus, the final answer is c = \\boxed{87}.",
"index": 16974,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = x + 10; r = t + 8; c = u + 9; g = k + 10; u = r + 16; d = o + 16; x = z + 11; h = g + 12; z = 16; o = z + 2; k = d + 5; t = j + 17; n = h + 14. If z = 16, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"g": "b + 3", "j": "g + 18", "r": "j + 11", "h": "r + 2", "l": "h + 12", "u": "l + 7", "i": "b + 14", "s": "i + 7", "k": "s + 8", "n": "k + 12", "o": "n + 15", "p": "o + 7", "b": 6}, "premises": {"b": 6}, "target": "u"}, "answer": {"steps": [["l", "h + 12", "h + 19"], ["h", "r + 2", "r + 21"], ["r", "j + 11", "j + 32"], ["j", "g + 18", "g + 50"], ["g", "b + 3", "b + 53"], ["b", 6, "59"]], "target_var_name": "u", "target_value": 59, "value_dict": {"b": 6}, "is_reverse": true}} | 16,975 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = g + 18; l = h + 12; r = j + 11; g = b + 3; b = 6; n = k + 12; h = r + 2; p = o + 7; u = l + 7; k = s + 8; i = b + 14; s = i + 7; o = n + 15. If b = 6, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 12 to u, which gives u = h + 19.\n2. Substitute h = r + 2 to u, which gives u = r + 21.\n3. Substitute r = j + 11 to u, which gives u = j + 32.\n4. Substitute j = g + 18 to u, which gives u = g + 50.\n5. Substitute g = b + 3 to u, which gives u = b + 53.\n6. Substitute b = 6 to u, which gives u = 59.\n\nThus, the final answer is u = \\boxed{59}.",
"index": 16975,
"question": "Consider a system of variables where each variable is defined as follows: j = g + 18; l = h + 12; r = j + 11; g = b + 3; b = 6; n = k + 12; h = r + 2; p = o + 7; u = l + 7; k = s + 8; i = b + 14; s = i + 7; o = n + 15. If b = 6, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 13", "w": "y + 14", "j": "w + 15", "u": "j + 3", "k": "u + 19", "f": "k + 4", "p": "c + 6", "b": "p + 15", "e": "b + 13", "s": "e + 9", "i": "s + 6", "h": "i + 10", "c": 10}, "premises": {"c": 10}, "target": "f"}, "answer": {"steps": [["k", "u + 19", "u + 23"], ["u", "j + 3", "j + 26"], ["j", "w + 15", "w + 41"], ["w", "y + 14", "y + 55"], ["y", "c + 13", "c + 68"], ["c", 10, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"c": 10}, "is_reverse": true}} | 16,976 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 4; w = y + 14; c = 10; i = s + 6; k = u + 19; p = c + 6; h = i + 10; u = j + 3; j = w + 15; y = c + 13; b = p + 15; e = b + 13; s = e + 9. If c = 10, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 19 to f, which gives f = u + 23.\n2. Substitute u = j + 3 to f, which gives f = j + 26.\n3. Substitute j = w + 15 to f, which gives f = w + 41.\n4. Substitute w = y + 14 to f, which gives f = y + 55.\n5. Substitute y = c + 13 to f, which gives f = c + 68.\n6. Substitute c = 10 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 16976,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 4; w = y + 14; c = 10; i = s + 6; k = u + 19; p = c + 6; h = i + 10; u = j + 3; j = w + 15; y = c + 13; b = p + 15; e = b + 13; s = e + 9. If c = 10, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 20", "g": "h + 12", "n": "g + 14", "m": "n + 8", "p": "m + 5", "y": "p + 7", "k": "f + 12", "a": "k + 19", "v": "a + 14", "x": "v + 3", "c": "x + 20", "e": "c + 6", "f": 15}, "premises": {"f": 15}, "target": "y"}, "answer": {"steps": [["p", "m + 5", "m + 12"], ["m", "n + 8", "n + 20"], ["n", "g + 14", "g + 34"], ["g", "h + 12", "h + 46"], ["h", "f + 20", "f + 66"], ["f", 15, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"f": 15}, "is_reverse": true}} | 16,977 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = f + 12; g = h + 12; n = g + 14; a = k + 19; m = n + 8; y = p + 7; h = f + 20; c = x + 20; e = c + 6; p = m + 5; f = 15; v = a + 14; x = v + 3. Given that f = 15, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 5 to y, which gives y = m + 12.\n2. Substitute m = n + 8 to y, which gives y = n + 20.\n3. Substitute n = g + 14 to y, which gives y = g + 34.\n4. Substitute g = h + 12 to y, which gives y = h + 46.\n5. Substitute h = f + 20 to y, which gives y = f + 66.\n6. Substitute f = 15 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 16977,
"question": "Suppose a collection of variables is related by the following definitions: k = f + 12; g = h + 12; n = g + 14; a = k + 19; m = n + 8; y = p + 7; h = f + 20; c = x + 20; e = c + 6; p = m + 5; f = 15; v = a + 14; x = v + 3. Given that f = 15, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 14", "m": "u + 2", "e": "m + 20", "y": "e + 20", "r": "y + 16", "t": "r + 14", "h": "j + 9", "b": "h + 14", "z": "b + 17", "l": "z + 18", "w": "l + 4", "g": "w + 19", "j": 19}, "premises": {"j": 19}, "target": "t"}, "answer": {"steps": [["r", "y + 16", "y + 30"], ["y", "e + 20", "e + 50"], ["e", "m + 20", "m + 70"], ["m", "u + 2", "u + 72"], ["u", "j + 14", "j + 86"], ["j", 19, "105"]], "target_var_name": "t", "target_value": 105, "value_dict": {"j": 19}, "is_reverse": true}} | 16,978 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = y + 16; m = u + 2; l = z + 18; b = h + 14; h = j + 9; u = j + 14; g = w + 19; y = e + 20; j = 19; w = l + 4; t = r + 14; e = m + 20; z = b + 17. If j = 19, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 16 to t, which gives t = y + 30.\n2. Substitute y = e + 20 to t, which gives t = e + 50.\n3. Substitute e = m + 20 to t, which gives t = m + 70.\n4. Substitute m = u + 2 to t, which gives t = u + 72.\n5. Substitute u = j + 14 to t, which gives t = j + 86.\n6. Substitute j = 19 to t, which gives t = 105.\n\nThus, the final answer is t = \\boxed{105}.",
"index": 16978,
"question": "Consider a system of variables where each variable is defined as follows: r = y + 16; m = u + 2; l = z + 18; b = h + 14; h = j + 9; u = j + 14; g = w + 19; y = e + 20; j = 19; w = l + 4; t = r + 14; e = m + 20; z = b + 17. If j = 19, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"m": "z + 15", "d": "m + 13", "r": "d + 16", "j": "r + 9", "a": "j + 7", "t": "a + 19", "k": "z + 20", "w": "k + 17", "x": "w + 6", "v": "x + 5", "h": "v + 7", "p": "h + 17", "z": 18}, "premises": {"z": 18}, "target": "t"}, "answer": {"steps": [["a", "j + 7", "j + 26"], ["j", "r + 9", "r + 35"], ["r", "d + 16", "d + 51"], ["d", "m + 13", "m + 64"], ["m", "z + 15", "z + 79"], ["z", 18, "97"]], "target_var_name": "t", "target_value": 97, "value_dict": {"z": 18}, "is_reverse": true}} | 16,979 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = w + 6; h = v + 7; z = 18; j = r + 9; t = a + 19; r = d + 16; v = x + 5; a = j + 7; k = z + 20; d = m + 13; w = k + 17; m = z + 15; p = h + 17. Given that z = 18, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 7 to t, which gives t = j + 26.\n2. Substitute j = r + 9 to t, which gives t = r + 35.\n3. Substitute r = d + 16 to t, which gives t = d + 51.\n4. Substitute d = m + 13 to t, which gives t = m + 64.\n5. Substitute m = z + 15 to t, which gives t = z + 79.\n6. Substitute z = 18 to t, which gives t = 97.\n\nThus, the final answer is t = \\boxed{97}.",
"index": 16979,
"question": "Suppose a collection of variables is related by the following definitions: x = w + 6; h = v + 7; z = 18; j = r + 9; t = a + 19; r = d + 16; v = x + 5; a = j + 7; k = z + 20; d = m + 13; w = k + 17; m = z + 15; p = h + 17. Given that z = 18, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 4", "v": "y + 8", "n": "v + 2", "j": "n + 9", "w": "j + 9", "o": "w + 19", "p": "s + 3", "f": "p + 7", "q": "f + 7", "t": "q + 20", "z": "t + 13", "g": "z + 13", "s": 1}, "premises": {"s": 1}, "target": "o"}, "answer": {"steps": [["w", "j + 9", "j + 28"], ["j", "n + 9", "n + 37"], ["n", "v + 2", "v + 39"], ["v", "y + 8", "y + 47"], ["y", "s + 4", "s + 51"], ["s", 1, "52"]], "target_var_name": "o", "target_value": 52, "value_dict": {"s": 1}, "is_reverse": true}} | 16,980 | 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 + 13; o = w + 19; f = p + 7; w = j + 9; t = q + 20; s = 1; q = f + 7; p = s + 3; z = t + 13; j = n + 9; n = v + 2; v = y + 8; y = s + 4. If s = 1, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 9 to o, which gives o = j + 28.\n2. Substitute j = n + 9 to o, which gives o = n + 37.\n3. Substitute n = v + 2 to o, which gives o = v + 39.\n4. Substitute v = y + 8 to o, which gives o = y + 47.\n5. Substitute y = s + 4 to o, which gives o = s + 51.\n6. Substitute s = 1 to o, which gives o = 52.\n\nThus, the final answer is o = \\boxed{52}.",
"index": 16980,
"question": "Consider a system of variables where each variable is defined as follows: g = z + 13; o = w + 19; f = p + 7; w = j + 9; t = q + 20; s = 1; q = f + 7; p = s + 3; z = t + 13; j = n + 9; n = v + 2; v = y + 8; y = s + 4. If s = 1, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 1", "y": "i + 4", "f": "y + 7", "l": "f + 7", "q": "l + 5", "a": "q + 7", "n": "g + 20", "x": "n + 6", "z": "x + 17", "w": "z + 5", "t": "w + 14", "b": "t + 10", "g": 16}, "premises": {"g": 16}, "target": "a"}, "answer": {"steps": [["q", "l + 5", "l + 12"], ["l", "f + 7", "f + 19"], ["f", "y + 7", "y + 26"], ["y", "i + 4", "i + 30"], ["i", "g + 1", "g + 31"], ["g", 16, "47"]], "target_var_name": "a", "target_value": 47, "value_dict": {"g": 16}, "is_reverse": true}} | 16,981 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = g + 1; z = x + 17; f = y + 7; w = z + 5; g = 16; n = g + 20; b = t + 10; l = f + 7; a = q + 7; q = l + 5; y = i + 4; x = n + 6; t = w + 14. If g = 16, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 5 to a, which gives a = l + 12.\n2. Substitute l = f + 7 to a, which gives a = f + 19.\n3. Substitute f = y + 7 to a, which gives a = y + 26.\n4. Substitute y = i + 4 to a, which gives a = i + 30.\n5. Substitute i = g + 1 to a, which gives a = g + 31.\n6. Substitute g = 16 to a, which gives a = 47.\n\nThus, the final answer is a = \\boxed{47}.",
"index": 16981,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = g + 1; z = x + 17; f = y + 7; w = z + 5; g = 16; n = g + 20; b = t + 10; l = f + 7; a = q + 7; q = l + 5; y = i + 4; x = n + 6; t = w + 14. If g = 16, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 16", "t": "d + 5", "p": "t + 18", "c": "p + 3", "f": "c + 16", "l": "f + 16", "w": "v + 15", "o": "w + 12", "j": "o + 2", "x": "j + 17", "q": "x + 19", "e": "q + 17", "v": 17}, "premises": {"v": 17}, "target": "l"}, "answer": {"steps": [["f", "c + 16", "c + 32"], ["c", "p + 3", "p + 35"], ["p", "t + 18", "t + 53"], ["t", "d + 5", "d + 58"], ["d", "v + 16", "v + 74"], ["v", 17, "91"]], "target_var_name": "l", "target_value": 91, "value_dict": {"v": 17}, "is_reverse": true}} | 16,982 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = o + 2; p = t + 18; v = 17; f = c + 16; e = q + 17; l = f + 16; c = p + 3; d = v + 16; t = d + 5; x = j + 17; w = v + 15; o = w + 12; q = x + 19. If v = 17, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 16 to l, which gives l = c + 32.\n2. Substitute c = p + 3 to l, which gives l = p + 35.\n3. Substitute p = t + 18 to l, which gives l = t + 53.\n4. Substitute t = d + 5 to l, which gives l = d + 58.\n5. Substitute d = v + 16 to l, which gives l = v + 74.\n6. Substitute v = 17 to l, which gives l = 91.\n\nThus, the final answer is l = \\boxed{91}.",
"index": 16982,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = o + 2; p = t + 18; v = 17; f = c + 16; e = q + 17; l = f + 16; c = p + 3; d = v + 16; t = d + 5; x = j + 17; w = v + 15; o = w + 12; q = x + 19. If v = 17, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 17", "u": "x + 13", "o": "u + 18", "j": "o + 11", "c": "j + 12", "s": "c + 20", "m": "e + 1", "n": "m + 5", "h": "n + 11", "t": "h + 4", "a": "t + 11", "i": "a + 9", "e": 5}, "premises": {"e": 5}, "target": "s"}, "answer": {"steps": [["c", "j + 12", "j + 32"], ["j", "o + 11", "o + 43"], ["o", "u + 18", "u + 61"], ["u", "x + 13", "x + 74"], ["x", "e + 17", "e + 91"], ["e", 5, "96"]], "target_var_name": "s", "target_value": 96, "value_dict": {"e": 5}, "is_reverse": true}} | 16,983 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = e + 1; i = a + 9; e = 5; c = j + 12; a = t + 11; j = o + 11; h = n + 11; s = c + 20; x = e + 17; o = u + 18; t = h + 4; n = m + 5; u = x + 13. If e = 5, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 12 to s, which gives s = j + 32.\n2. Substitute j = o + 11 to s, which gives s = o + 43.\n3. Substitute o = u + 18 to s, which gives s = u + 61.\n4. Substitute u = x + 13 to s, which gives s = x + 74.\n5. Substitute x = e + 17 to s, which gives s = e + 91.\n6. Substitute e = 5 to s, which gives s = 96.\n\nThus, the final answer is s = \\boxed{96}.",
"index": 16983,
"question": "Consider a system of variables where each variable is defined as follows: m = e + 1; i = a + 9; e = 5; c = j + 12; a = t + 11; j = o + 11; h = n + 11; s = c + 20; x = e + 17; o = u + 18; t = h + 4; n = m + 5; u = x + 13. If e = 5, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 14", "v": "x + 11", "s": "v + 5", "f": "s + 18", "i": "f + 4", "k": "i + 15", "n": "e + 16", "h": "n + 19", "z": "h + 3", "q": "z + 11", "g": "q + 11", "b": "g + 6", "e": 5}, "premises": {"e": 5}, "target": "k"}, "answer": {"steps": [["i", "f + 4", "f + 19"], ["f", "s + 18", "s + 37"], ["s", "v + 5", "v + 42"], ["v", "x + 11", "x + 53"], ["x", "e + 14", "e + 67"], ["e", 5, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"e": 5}, "is_reverse": true}} | 16,984 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = g + 6; g = q + 11; e = 5; n = e + 16; s = v + 5; k = i + 15; v = x + 11; i = f + 4; z = h + 3; f = s + 18; q = z + 11; h = n + 19; x = e + 14. If e = 5, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 4 to k, which gives k = f + 19.\n2. Substitute f = s + 18 to k, which gives k = s + 37.\n3. Substitute s = v + 5 to k, which gives k = v + 42.\n4. Substitute v = x + 11 to k, which gives k = x + 53.\n5. Substitute x = e + 14 to k, which gives k = e + 67.\n6. Substitute e = 5 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 16984,
"question": "Consider a system of variables where each variable is defined as follows: b = g + 6; g = q + 11; e = 5; n = e + 16; s = v + 5; k = i + 15; v = x + 11; i = f + 4; z = h + 3; f = s + 18; q = z + 11; h = n + 19; x = e + 14. If e = 5, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 20", "c": "i + 14", "y": "c + 19", "w": "y + 19", "k": "w + 13", "m": "k + 18", "l": "g + 6", "a": "l + 1", "n": "a + 19", "u": "n + 11", "v": "u + 10", "b": "v + 9", "g": 6}, "premises": {"g": 6}, "target": "m"}, "answer": {"steps": [["k", "w + 13", "w + 31"], ["w", "y + 19", "y + 50"], ["y", "c + 19", "c + 69"], ["c", "i + 14", "i + 83"], ["i", "g + 20", "g + 103"], ["g", 6, "109"]], "target_var_name": "m", "target_value": 109, "value_dict": {"g": 6}, "is_reverse": true}} | 16,985 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = g + 6; y = c + 19; v = u + 10; i = g + 20; c = i + 14; a = l + 1; m = k + 18; u = n + 11; n = a + 19; b = v + 9; g = 6; w = y + 19; k = w + 13. If g = 6, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 13 to m, which gives m = w + 31.\n2. Substitute w = y + 19 to m, which gives m = y + 50.\n3. Substitute y = c + 19 to m, which gives m = c + 69.\n4. Substitute c = i + 14 to m, which gives m = i + 83.\n5. Substitute i = g + 20 to m, which gives m = g + 103.\n6. Substitute g = 6 to m, which gives m = 109.\n\nThus, the final answer is m = \\boxed{109}.",
"index": 16985,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = g + 6; y = c + 19; v = u + 10; i = g + 20; c = i + 14; a = l + 1; m = k + 18; u = n + 11; n = a + 19; b = v + 9; g = 6; w = y + 19; k = w + 13. If g = 6, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 18", "v": "h + 8", "i": "v + 10", "l": "i + 14", "p": "l + 13", "j": "p + 9", "u": "f + 19", "x": "u + 3", "o": "x + 20", "m": "o + 14", "n": "m + 3", "g": "n + 10", "f": 3}, "premises": {"f": 3}, "target": "j"}, "answer": {"steps": [["p", "l + 13", "l + 22"], ["l", "i + 14", "i + 36"], ["i", "v + 10", "v + 46"], ["v", "h + 8", "h + 54"], ["h", "f + 18", "f + 72"], ["f", 3, "75"]], "target_var_name": "j", "target_value": 75, "value_dict": {"f": 3}, "is_reverse": true}} | 16,986 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = m + 3; o = x + 20; m = o + 14; u = f + 19; x = u + 3; h = f + 18; j = p + 9; i = v + 10; l = i + 14; v = h + 8; f = 3; p = l + 13; g = n + 10. If f = 3, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 13 to j, which gives j = l + 22.\n2. Substitute l = i + 14 to j, which gives j = i + 36.\n3. Substitute i = v + 10 to j, which gives j = v + 46.\n4. Substitute v = h + 8 to j, which gives j = h + 54.\n5. Substitute h = f + 18 to j, which gives j = f + 72.\n6. Substitute f = 3 to j, which gives j = 75.\n\nThus, the final answer is j = \\boxed{75}.",
"index": 16986,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = m + 3; o = x + 20; m = o + 14; u = f + 19; x = u + 3; h = f + 18; j = p + 9; i = v + 10; l = i + 14; v = h + 8; f = 3; p = l + 13; g = n + 10. If f = 3, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 5", "i": "h + 12", "r": "i + 5", "j": "r + 6", "p": "j + 13", "q": "p + 18", "n": "x + 7", "l": "n + 8", "c": "l + 7", "o": "c + 18", "e": "o + 14", "w": "e + 5", "x": 20}, "premises": {"x": 20}, "target": "q"}, "answer": {"steps": [["p", "j + 13", "j + 31"], ["j", "r + 6", "r + 37"], ["r", "i + 5", "i + 42"], ["i", "h + 12", "h + 54"], ["h", "x + 5", "x + 59"], ["x", 20, "79"]], "target_var_name": "q", "target_value": 79, "value_dict": {"x": 20}, "is_reverse": true}} | 16,987 | 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 + 18; w = e + 5; j = r + 6; r = i + 5; n = x + 7; e = o + 14; l = n + 8; o = c + 18; i = h + 12; c = l + 7; p = j + 13; x = 20; h = x + 5. If x = 20, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 13 to q, which gives q = j + 31.\n2. Substitute j = r + 6 to q, which gives q = r + 37.\n3. Substitute r = i + 5 to q, which gives q = i + 42.\n4. Substitute i = h + 12 to q, which gives q = h + 54.\n5. Substitute h = x + 5 to q, which gives q = x + 59.\n6. Substitute x = 20 to q, which gives q = 79.\n\nThus, the final answer is q = \\boxed{79}.",
"index": 16987,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = p + 18; w = e + 5; j = r + 6; r = i + 5; n = x + 7; e = o + 14; l = n + 8; o = c + 18; i = h + 12; c = l + 7; p = j + 13; x = 20; h = x + 5. If x = 20, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"u": "e + 15", "d": "u + 12", "x": "d + 3", "g": "x + 11", "o": "g + 8", "f": "o + 20", "n": "e + 9", "i": "n + 13", "h": "i + 15", "q": "h + 4", "s": "q + 12", "k": "s + 10", "e": 7}, "premises": {"e": 7}, "target": "f"}, "answer": {"steps": [["o", "g + 8", "g + 28"], ["g", "x + 11", "x + 39"], ["x", "d + 3", "d + 42"], ["d", "u + 12", "u + 54"], ["u", "e + 15", "e + 69"], ["e", 7, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"e": 7}, "is_reverse": true}} | 16,988 | 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 = q + 12; k = s + 10; q = h + 4; o = g + 8; i = n + 13; n = e + 9; f = o + 20; e = 7; g = x + 11; x = d + 3; h = i + 15; u = e + 15; d = u + 12. If e = 7, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 8 to f, which gives f = g + 28.\n2. Substitute g = x + 11 to f, which gives f = x + 39.\n3. Substitute x = d + 3 to f, which gives f = d + 42.\n4. Substitute d = u + 12 to f, which gives f = u + 54.\n5. Substitute u = e + 15 to f, which gives f = e + 69.\n6. Substitute e = 7 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 16988,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 12; k = s + 10; q = h + 4; o = g + 8; i = n + 13; n = e + 9; f = o + 20; e = 7; g = x + 11; x = d + 3; h = i + 15; u = e + 15; d = u + 12. If e = 7, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 6", "w": "b + 13", "n": "w + 10", "m": "n + 19", "g": "m + 10", "d": "g + 13", "k": "t + 1", "u": "k + 9", "l": "u + 19", "q": "l + 17", "y": "q + 12", "p": "y + 19", "t": 8}, "premises": {"t": 8}, "target": "d"}, "answer": {"steps": [["g", "m + 10", "m + 23"], ["m", "n + 19", "n + 42"], ["n", "w + 10", "w + 52"], ["w", "b + 13", "b + 65"], ["b", "t + 6", "t + 71"], ["t", 8, "79"]], "target_var_name": "d", "target_value": 79, "value_dict": {"t": 8}, "is_reverse": true}} | 16,989 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 13; p = y + 19; q = l + 17; k = t + 1; b = t + 6; t = 8; g = m + 10; n = w + 10; y = q + 12; w = b + 13; l = u + 19; u = k + 9; m = n + 19. If t = 8, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 10 to d, which gives d = m + 23.\n2. Substitute m = n + 19 to d, which gives d = n + 42.\n3. Substitute n = w + 10 to d, which gives d = w + 52.\n4. Substitute w = b + 13 to d, which gives d = b + 65.\n5. Substitute b = t + 6 to d, which gives d = t + 71.\n6. Substitute t = 8 to d, which gives d = 79.\n\nThus, the final answer is d = \\boxed{79}.",
"index": 16989,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 13; p = y + 19; q = l + 17; k = t + 1; b = t + 6; t = 8; g = m + 10; n = w + 10; y = q + 12; w = b + 13; l = u + 19; u = k + 9; m = n + 19. If t = 8, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 16", "f": "c + 14", "t": "f + 11", "j": "t + 10", "z": "j + 7", "a": "z + 2", "l": "y + 17", "b": "l + 18", "m": "b + 19", "w": "m + 19", "r": "w + 2", "n": "r + 1", "y": 6}, "premises": {"y": 6}, "target": "a"}, "answer": {"steps": [["z", "j + 7", "j + 9"], ["j", "t + 10", "t + 19"], ["t", "f + 11", "f + 30"], ["f", "c + 14", "c + 44"], ["c", "y + 16", "y + 60"], ["y", 6, "66"]], "target_var_name": "a", "target_value": 66, "value_dict": {"y": 6}, "is_reverse": true}} | 16,990 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = y + 17; r = w + 2; w = m + 19; t = f + 11; j = t + 10; b = l + 18; f = c + 14; y = 6; z = j + 7; m = b + 19; c = y + 16; a = z + 2; n = r + 1. If y = 6, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 7 to a, which gives a = j + 9.\n2. Substitute j = t + 10 to a, which gives a = t + 19.\n3. Substitute t = f + 11 to a, which gives a = f + 30.\n4. Substitute f = c + 14 to a, which gives a = c + 44.\n5. Substitute c = y + 16 to a, which gives a = y + 60.\n6. Substitute y = 6 to a, which gives a = 66.\n\nThus, the final answer is a = \\boxed{66}.",
"index": 16990,
"question": "Consider a system of variables where each variable is defined as follows: l = y + 17; r = w + 2; w = m + 19; t = f + 11; j = t + 10; b = l + 18; f = c + 14; y = 6; z = j + 7; m = b + 19; c = y + 16; a = z + 2; n = r + 1. If y = 6, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 8", "h": "n + 16", "f": "h + 11", "k": "f + 6", "i": "k + 7", "b": "i + 13", "t": "e + 3", "l": "t + 7", "x": "l + 6", "y": "x + 16", "z": "y + 19", "r": "z + 10", "e": 19}, "premises": {"e": 19}, "target": "b"}, "answer": {"steps": [["i", "k + 7", "k + 20"], ["k", "f + 6", "f + 26"], ["f", "h + 11", "h + 37"], ["h", "n + 16", "n + 53"], ["n", "e + 8", "e + 61"], ["e", 19, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"e": 19}, "is_reverse": true}} | 16,991 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = f + 6; i = k + 7; r = z + 10; e = 19; n = e + 8; x = l + 6; h = n + 16; y = x + 16; b = i + 13; f = h + 11; l = t + 7; z = y + 19; t = e + 3. If e = 19, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 7 to b, which gives b = k + 20.\n2. Substitute k = f + 6 to b, which gives b = f + 26.\n3. Substitute f = h + 11 to b, which gives b = h + 37.\n4. Substitute h = n + 16 to b, which gives b = n + 53.\n5. Substitute n = e + 8 to b, which gives b = e + 61.\n6. Substitute e = 19 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 16991,
"question": "Consider a system of variables where each variable is defined as follows: k = f + 6; i = k + 7; r = z + 10; e = 19; n = e + 8; x = l + 6; h = n + 16; y = x + 16; b = i + 13; f = h + 11; l = t + 7; z = y + 19; t = e + 3. If e = 19, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 19", "j": "h + 5", "c": "j + 10", "z": "c + 18", "y": "z + 6", "o": "y + 9", "i": "w + 20", "v": "i + 20", "r": "v + 18", "f": "r + 11", "a": "f + 2", "x": "a + 19", "w": 13}, "premises": {"w": 13}, "target": "o"}, "answer": {"steps": [["y", "z + 6", "z + 15"], ["z", "c + 18", "c + 33"], ["c", "j + 10", "j + 43"], ["j", "h + 5", "h + 48"], ["h", "w + 19", "w + 67"], ["w", 13, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"w": 13}, "is_reverse": true}} | 16,992 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 13; y = z + 6; z = c + 18; f = r + 11; h = w + 19; c = j + 10; r = v + 18; o = y + 9; a = f + 2; j = h + 5; v = i + 20; i = w + 20; x = a + 19. If w = 13, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 6 to o, which gives o = z + 15.\n2. Substitute z = c + 18 to o, which gives o = c + 33.\n3. Substitute c = j + 10 to o, which gives o = j + 43.\n4. Substitute j = h + 5 to o, which gives o = h + 48.\n5. Substitute h = w + 19 to o, which gives o = w + 67.\n6. Substitute w = 13 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 16992,
"question": "Consider a system of variables where each variable is defined as follows: w = 13; y = z + 6; z = c + 18; f = r + 11; h = w + 19; c = j + 10; r = v + 18; o = y + 9; a = f + 2; j = h + 5; v = i + 20; i = w + 20; x = a + 19. If w = 13, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"h": "s + 10", "f": "h + 12", "g": "f + 20", "p": "g + 11", "x": "p + 7", "e": "x + 1", "q": "s + 16", "v": "q + 8", "d": "v + 9", "j": "d + 18", "b": "j + 11", "n": "b + 19", "s": 15}, "premises": {"s": 15}, "target": "e"}, "answer": {"steps": [["x", "p + 7", "p + 8"], ["p", "g + 11", "g + 19"], ["g", "f + 20", "f + 39"], ["f", "h + 12", "h + 51"], ["h", "s + 10", "s + 61"], ["s", 15, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"s": 15}, "is_reverse": true}} | 16,993 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 18; b = j + 11; q = s + 16; h = s + 10; x = p + 7; p = g + 11; g = f + 20; f = h + 12; e = x + 1; s = 15; n = b + 19; v = q + 8; d = v + 9. If s = 15, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 7 to e, which gives e = p + 8.\n2. Substitute p = g + 11 to e, which gives e = g + 19.\n3. Substitute g = f + 20 to e, which gives e = f + 39.\n4. Substitute f = h + 12 to e, which gives e = h + 51.\n5. Substitute h = s + 10 to e, which gives e = s + 61.\n6. Substitute s = 15 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 16993,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 18; b = j + 11; q = s + 16; h = s + 10; x = p + 7; p = g + 11; g = f + 20; f = h + 12; e = x + 1; s = 15; n = b + 19; v = q + 8; d = v + 9. If s = 15, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 15", "a": "u + 6", "d": "a + 18", "g": "d + 3", "e": "g + 5", "c": "e + 19", "q": "f + 20", "b": "q + 4", "m": "b + 15", "t": "m + 11", "y": "t + 14", "k": "y + 13", "f": 17}, "premises": {"f": 17}, "target": "c"}, "answer": {"steps": [["e", "g + 5", "g + 24"], ["g", "d + 3", "d + 27"], ["d", "a + 18", "a + 45"], ["a", "u + 6", "u + 51"], ["u", "f + 15", "f + 66"], ["f", 17, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"f": 17}, "is_reverse": true}} | 16,994 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = f + 15; d = a + 18; e = g + 5; a = u + 6; c = e + 19; q = f + 20; b = q + 4; k = y + 13; g = d + 3; m = b + 15; y = t + 14; t = m + 11; f = 17. If f = 17, what is the resulting 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 e = g + 5 to c, which gives c = g + 24.\n2. Substitute g = d + 3 to c, which gives c = d + 27.\n3. Substitute d = a + 18 to c, which gives c = a + 45.\n4. Substitute a = u + 6 to c, which gives c = u + 51.\n5. Substitute u = f + 15 to c, which gives c = f + 66.\n6. Substitute f = 17 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 16994,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = f + 15; d = a + 18; e = g + 5; a = u + 6; c = e + 19; q = f + 20; b = q + 4; k = y + 13; g = d + 3; m = b + 15; y = t + 14; t = m + 11; f = 17. If f = 17, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"c": "k + 12", "t": "c + 11", "n": "t + 6", "o": "n + 12", "d": "o + 11", "x": "d + 8", "w": "k + 10", "f": "w + 18", "s": "f + 3", "b": "s + 5", "i": "b + 9", "a": "i + 10", "k": 3}, "premises": {"k": 3}, "target": "x"}, "answer": {"steps": [["d", "o + 11", "o + 19"], ["o", "n + 12", "n + 31"], ["n", "t + 6", "t + 37"], ["t", "c + 11", "c + 48"], ["c", "k + 12", "k + 60"], ["k", 3, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"k": 3}, "is_reverse": true}} | 16,995 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = d + 8; w = k + 10; a = i + 10; s = f + 3; t = c + 11; i = b + 9; o = n + 12; n = t + 6; f = w + 18; k = 3; d = o + 11; c = k + 12; b = s + 5. If k = 3, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 11 to x, which gives x = o + 19.\n2. Substitute o = n + 12 to x, which gives x = n + 31.\n3. Substitute n = t + 6 to x, which gives x = t + 37.\n4. Substitute t = c + 11 to x, which gives x = c + 48.\n5. Substitute c = k + 12 to x, which gives x = k + 60.\n6. Substitute k = 3 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 16995,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = d + 8; w = k + 10; a = i + 10; s = f + 3; t = c + 11; i = b + 9; o = n + 12; n = t + 6; f = w + 18; k = 3; d = o + 11; c = k + 12; b = s + 5. If k = 3, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"c": "u + 13", "p": "c + 17", "v": "p + 14", "t": "v + 3", "h": "t + 18", "s": "h + 16", "b": "u + 2", "e": "b + 11", "x": "e + 12", "l": "x + 16", "a": "l + 12", "m": "a + 11", "u": 4}, "premises": {"u": 4}, "target": "s"}, "answer": {"steps": [["h", "t + 18", "t + 34"], ["t", "v + 3", "v + 37"], ["v", "p + 14", "p + 51"], ["p", "c + 17", "c + 68"], ["c", "u + 13", "u + 81"], ["u", 4, "85"]], "target_var_name": "s", "target_value": 85, "value_dict": {"u": 4}, "is_reverse": true}} | 16,996 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = b + 11; x = e + 12; l = x + 16; m = a + 11; s = h + 16; a = l + 12; c = u + 13; u = 4; v = p + 14; b = u + 2; p = c + 17; t = v + 3; h = t + 18. Given that u = 4, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 18 to s, which gives s = t + 34.\n2. Substitute t = v + 3 to s, which gives s = v + 37.\n3. Substitute v = p + 14 to s, which gives s = p + 51.\n4. Substitute p = c + 17 to s, which gives s = c + 68.\n5. Substitute c = u + 13 to s, which gives s = u + 81.\n6. Substitute u = 4 to s, which gives s = 85.\n\nThus, the final answer is s = \\boxed{85}.",
"index": 16996,
"question": "Suppose a collection of variables is related by the following definitions: e = b + 11; x = e + 12; l = x + 16; m = a + 11; s = h + 16; a = l + 12; c = u + 13; u = 4; v = p + 14; b = u + 2; p = c + 17; t = v + 3; h = t + 18. Given that u = 4, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 1", "f": "x + 19", "k": "f + 4", "u": "k + 6", "q": "u + 19", "c": "q + 1", "l": "r + 7", "w": "l + 19", "t": "w + 6", "d": "t + 4", "e": "d + 13", "i": "e + 17", "r": 1}, "premises": {"r": 1}, "target": "c"}, "answer": {"steps": [["q", "u + 19", "u + 20"], ["u", "k + 6", "k + 26"], ["k", "f + 4", "f + 30"], ["f", "x + 19", "x + 49"], ["x", "r + 1", "r + 50"], ["r", 1, "51"]], "target_var_name": "c", "target_value": 51, "value_dict": {"r": 1}, "is_reverse": true}} | 16,997 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = d + 13; u = k + 6; c = q + 1; i = e + 17; d = t + 4; w = l + 19; f = x + 19; x = r + 1; t = w + 6; r = 1; k = f + 4; l = r + 7; q = u + 19. If r = 1, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 19 to c, which gives c = u + 20.\n2. Substitute u = k + 6 to c, which gives c = k + 26.\n3. Substitute k = f + 4 to c, which gives c = f + 30.\n4. Substitute f = x + 19 to c, which gives c = x + 49.\n5. Substitute x = r + 1 to c, which gives c = r + 50.\n6. Substitute r = 1 to c, which gives c = 51.\n\nThus, the final answer is c = \\boxed{51}.",
"index": 16997,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = d + 13; u = k + 6; c = q + 1; i = e + 17; d = t + 4; w = l + 19; f = x + 19; x = r + 1; t = w + 6; r = 1; k = f + 4; l = r + 7; q = u + 19. If r = 1, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 11", "n": "p + 2", "t": "n + 7", "i": "t + 19", "c": "i + 5", "j": "c + 2", "o": "u + 16", "y": "o + 6", "v": "y + 2", "d": "v + 14", "f": "d + 2", "k": "f + 12", "u": 12}, "premises": {"u": 12}, "target": "j"}, "answer": {"steps": [["c", "i + 5", "i + 7"], ["i", "t + 19", "t + 26"], ["t", "n + 7", "n + 33"], ["n", "p + 2", "p + 35"], ["p", "u + 11", "u + 46"], ["u", 12, "58"]], "target_var_name": "j", "target_value": 58, "value_dict": {"u": 12}, "is_reverse": true}} | 16,998 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = c + 2; o = u + 16; k = f + 12; c = i + 5; d = v + 14; v = y + 2; n = p + 2; u = 12; y = o + 6; t = n + 7; p = u + 11; f = d + 2; i = t + 19. If u = 12, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 5 to j, which gives j = i + 7.\n2. Substitute i = t + 19 to j, which gives j = t + 26.\n3. Substitute t = n + 7 to j, which gives j = n + 33.\n4. Substitute n = p + 2 to j, which gives j = p + 35.\n5. Substitute p = u + 11 to j, which gives j = u + 46.\n6. Substitute u = 12 to j, which gives j = 58.\n\nThus, the final answer is j = \\boxed{58}.",
"index": 16998,
"question": "Consider a system of variables where each variable is defined as follows: j = c + 2; o = u + 16; k = f + 12; c = i + 5; d = v + 14; v = y + 2; n = p + 2; u = 12; y = o + 6; t = n + 7; p = u + 11; f = d + 2; i = t + 19. If u = 12, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 14", "g": "u + 2", "n": "g + 9", "r": "n + 16", "k": "r + 9", "v": "k + 8", "b": "d + 7", "y": "b + 18", "x": "y + 4", "z": "x + 4", "c": "z + 5", "p": "c + 1", "d": 14}, "premises": {"d": 14}, "target": "v"}, "answer": {"steps": [["k", "r + 9", "r + 17"], ["r", "n + 16", "n + 33"], ["n", "g + 9", "g + 42"], ["g", "u + 2", "u + 44"], ["u", "d + 14", "d + 58"], ["d", 14, "72"]], "target_var_name": "v", "target_value": 72, "value_dict": {"d": 14}, "is_reverse": true}} | 16,999 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = g + 9; d = 14; u = d + 14; p = c + 1; b = d + 7; z = x + 4; k = r + 9; x = y + 4; r = n + 16; g = u + 2; v = k + 8; c = z + 5; y = b + 18. If d = 14, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 9 to v, which gives v = r + 17.\n2. Substitute r = n + 16 to v, which gives v = n + 33.\n3. Substitute n = g + 9 to v, which gives v = g + 42.\n4. Substitute g = u + 2 to v, which gives v = u + 44.\n5. Substitute u = d + 14 to v, which gives v = d + 58.\n6. Substitute d = 14 to v, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 16999,
"question": "Consider a system of variables where each variable is defined as follows: n = g + 9; d = 14; u = d + 14; p = c + 1; b = d + 7; z = x + 4; k = r + 9; x = y + 4; r = n + 16; g = u + 2; v = k + 8; c = z + 5; y = b + 18. If d = 14, determine the value of v.",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.