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": {"n": "r + 6", "h": "n + 14", "i": "h + 16", "e": "i + 1", "y": "e + 15", "f": "y + 15", "l": "r + 18", "a": "l + 10", "k": "a + 18", "g": "k + 11", "p": "g + 17", "s": "p + 7", "r": 10}, "premises": {"r": 10}, "target": "f"}, "answer": {"steps": [["y", "e + 15", "e + 30"], ["e", "i + 1", "i + 31"], ["i", "h + 16", "h + 47"], ["h", "n + 14", "n + 61"], ["n", "r + 6", "r + 67"], ["r", 10, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"r": 10}, "is_reverse": true}} | 17,900 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = r + 18; s = p + 7; f = y + 15; n = r + 6; p = g + 17; h = n + 14; y = e + 15; k = a + 18; g = k + 11; e = i + 1; a = l + 10; r = 10; i = h + 16. If r = 10, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 15 to f, which gives f = e + 30.\n2. Substitute e = i + 1 to f, which gives f = i + 31.\n3. Substitute i = h + 16 to f, which gives f = h + 47.\n4. Substitute h = n + 14 to f, which gives f = n + 61.\n5. Substitute n = r + 6 to f, which gives f = r + 67.\n6. Substitute r = 10 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 17900,
"question": "Consider a system of variables where each variable is defined as follows: l = r + 18; s = p + 7; f = y + 15; n = r + 6; p = g + 17; h = n + 14; y = e + 15; k = a + 18; g = k + 11; e = i + 1; a = l + 10; r = 10; i = h + 16. If r = 10, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"k": "x + 20", "j": "k + 2", "d": "j + 16", "u": "d + 13", "b": "u + 10", "s": "b + 2", "t": "x + 5", "l": "t + 8", "e": "l + 8", "m": "e + 11", "f": "m + 16", "h": "f + 15", "x": 3}, "premises": {"x": 3}, "target": "s"}, "answer": {"steps": [["b", "u + 10", "u + 12"], ["u", "d + 13", "d + 25"], ["d", "j + 16", "j + 41"], ["j", "k + 2", "k + 43"], ["k", "x + 20", "x + 63"], ["x", 3, "66"]], "target_var_name": "s", "target_value": 66, "value_dict": {"x": 3}, "is_reverse": true}} | 17,901 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = b + 2; m = e + 11; d = j + 16; l = t + 8; t = x + 5; e = l + 8; k = x + 20; x = 3; b = u + 10; h = f + 15; u = d + 13; f = m + 16; j = k + 2. Given that x = 3, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 10 to s, which gives s = u + 12.\n2. Substitute u = d + 13 to s, which gives s = d + 25.\n3. Substitute d = j + 16 to s, which gives s = j + 41.\n4. Substitute j = k + 2 to s, which gives s = k + 43.\n5. Substitute k = x + 20 to s, which gives s = x + 63.\n6. Substitute x = 3 to s, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 17901,
"question": "Suppose a collection of variables is related by the following definitions: s = b + 2; m = e + 11; d = j + 16; l = t + 8; t = x + 5; e = l + 8; k = x + 20; x = 3; b = u + 10; h = f + 15; u = d + 13; f = m + 16; j = k + 2. Given that x = 3, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 17", "o": "a + 12", "z": "o + 7", "d": "z + 5", "l": "d + 20", "i": "l + 16", "y": "p + 4", "x": "y + 5", "r": "x + 16", "v": "r + 2", "k": "v + 10", "u": "k + 8", "p": 5}, "premises": {"p": 5}, "target": "i"}, "answer": {"steps": [["l", "d + 20", "d + 36"], ["d", "z + 5", "z + 41"], ["z", "o + 7", "o + 48"], ["o", "a + 12", "a + 60"], ["a", "p + 17", "p + 77"], ["p", 5, "82"]], "target_var_name": "i", "target_value": 82, "value_dict": {"p": 5}, "is_reverse": true}} | 17,902 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = d + 20; i = l + 16; z = o + 7; o = a + 12; v = r + 2; k = v + 10; u = k + 8; y = p + 4; x = y + 5; a = p + 17; d = z + 5; r = x + 16; p = 5. If p = 5, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 20 to i, which gives i = d + 36.\n2. Substitute d = z + 5 to i, which gives i = z + 41.\n3. Substitute z = o + 7 to i, which gives i = o + 48.\n4. Substitute o = a + 12 to i, which gives i = a + 60.\n5. Substitute a = p + 17 to i, which gives i = p + 77.\n6. Substitute p = 5 to i, which gives i = 82.\n\nThus, the final answer is i = \\boxed{82}.",
"index": 17902,
"question": "Consider a system of variables where each variable is defined as follows: l = d + 20; i = l + 16; z = o + 7; o = a + 12; v = r + 2; k = v + 10; u = k + 8; y = p + 4; x = y + 5; a = p + 17; d = z + 5; r = x + 16; p = 5. If p = 5, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 9", "q": "b + 9", "x": "q + 19", "i": "x + 13", "w": "i + 13", "t": "w + 1", "p": "d + 12", "a": "p + 20", "h": "a + 7", "y": "h + 16", "k": "y + 8", "v": "k + 17", "d": 6}, "premises": {"d": 6}, "target": "t"}, "answer": {"steps": [["w", "i + 13", "i + 14"], ["i", "x + 13", "x + 27"], ["x", "q + 19", "q + 46"], ["q", "b + 9", "b + 55"], ["b", "d + 9", "d + 64"], ["d", 6, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"d": 6}, "is_reverse": true}} | 17,903 | 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 = y + 8; y = h + 16; v = k + 17; p = d + 12; w = i + 13; t = w + 1; q = b + 9; x = q + 19; b = d + 9; h = a + 7; a = p + 20; i = x + 13; d = 6. If d = 6, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 13 to t, which gives t = i + 14.\n2. Substitute i = x + 13 to t, which gives t = x + 27.\n3. Substitute x = q + 19 to t, which gives t = q + 46.\n4. Substitute q = b + 9 to t, which gives t = b + 55.\n5. Substitute b = d + 9 to t, which gives t = d + 64.\n6. Substitute d = 6 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 17903,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 8; y = h + 16; v = k + 17; p = d + 12; w = i + 13; t = w + 1; q = b + 9; x = q + 19; b = d + 9; h = a + 7; a = p + 20; i = x + 13; d = 6. If d = 6, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 17", "z": "j + 9", "g": "z + 7", "l": "g + 13", "q": "l + 16", "o": "q + 20", "m": "b + 18", "n": "m + 14", "u": "n + 12", "k": "u + 7", "y": "k + 10", "w": "y + 1", "b": 16}, "premises": {"b": 16}, "target": "o"}, "answer": {"steps": [["q", "l + 16", "l + 36"], ["l", "g + 13", "g + 49"], ["g", "z + 7", "z + 56"], ["z", "j + 9", "j + 65"], ["j", "b + 17", "b + 82"], ["b", 16, "98"]], "target_var_name": "o", "target_value": 98, "value_dict": {"b": 16}, "is_reverse": true}} | 17,904 | 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 = j + 9; g = z + 7; w = y + 1; y = k + 10; o = q + 20; n = m + 14; l = g + 13; m = b + 18; j = b + 17; u = n + 12; q = l + 16; b = 16; k = u + 7. If b = 16, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 16 to o, which gives o = l + 36.\n2. Substitute l = g + 13 to o, which gives o = g + 49.\n3. Substitute g = z + 7 to o, which gives o = z + 56.\n4. Substitute z = j + 9 to o, which gives o = j + 65.\n5. Substitute j = b + 17 to o, which gives o = b + 82.\n6. Substitute b = 16 to o, which gives o = 98.\n\nThus, the final answer is o = \\boxed{98}.",
"index": 17904,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = j + 9; g = z + 7; w = y + 1; y = k + 10; o = q + 20; n = m + 14; l = g + 13; m = b + 18; j = b + 17; u = n + 12; q = l + 16; b = 16; k = u + 7. If b = 16, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 5", "t": "g + 12", "b": "t + 16", "z": "b + 5", "e": "z + 13", "h": "e + 20", "o": "r + 13", "a": "o + 13", "j": "a + 2", "n": "j + 17", "m": "n + 3", "l": "m + 7", "r": 7}, "premises": {"r": 7}, "target": "h"}, "answer": {"steps": [["e", "z + 13", "z + 33"], ["z", "b + 5", "b + 38"], ["b", "t + 16", "t + 54"], ["t", "g + 12", "g + 66"], ["g", "r + 5", "r + 71"], ["r", 7, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"r": 7}, "is_reverse": true}} | 17,905 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = j + 17; m = n + 3; e = z + 13; o = r + 13; r = 7; a = o + 13; h = e + 20; t = g + 12; g = r + 5; b = t + 16; j = a + 2; z = b + 5; l = m + 7. If r = 7, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 13 to h, which gives h = z + 33.\n2. Substitute z = b + 5 to h, which gives h = b + 38.\n3. Substitute b = t + 16 to h, which gives h = t + 54.\n4. Substitute t = g + 12 to h, which gives h = g + 66.\n5. Substitute g = r + 5 to h, which gives h = r + 71.\n6. Substitute r = 7 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 17905,
"question": "Consider a system of variables where each variable is defined as follows: n = j + 17; m = n + 3; e = z + 13; o = r + 13; r = 7; a = o + 13; h = e + 20; t = g + 12; g = r + 5; b = t + 16; j = a + 2; z = b + 5; l = m + 7. If r = 7, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "f + 3", "s": "e + 9", "q": "s + 1", "k": "q + 5", "c": "k + 12", "j": "c + 17", "r": "f + 10", "x": "r + 4", "o": "x + 20", "b": "o + 9", "t": "b + 16", "a": "t + 13", "f": 10}, "premises": {"f": 10}, "target": "j"}, "answer": {"steps": [["c", "k + 12", "k + 29"], ["k", "q + 5", "q + 34"], ["q", "s + 1", "s + 35"], ["s", "e + 9", "e + 44"], ["e", "f + 3", "f + 47"], ["f", 10, "57"]], "target_var_name": "j", "target_value": 57, "value_dict": {"f": 10}, "is_reverse": true}} | 17,906 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = b + 16; x = r + 4; j = c + 17; q = s + 1; f = 10; e = f + 3; s = e + 9; o = x + 20; b = o + 9; r = f + 10; a = t + 13; c = k + 12; k = q + 5. Given that f = 10, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 12 to j, which gives j = k + 29.\n2. Substitute k = q + 5 to j, which gives j = q + 34.\n3. Substitute q = s + 1 to j, which gives j = s + 35.\n4. Substitute s = e + 9 to j, which gives j = e + 44.\n5. Substitute e = f + 3 to j, which gives j = f + 47.\n6. Substitute f = 10 to j, which gives j = 57.\n\nThus, the final answer is j = \\boxed{57}.",
"index": 17906,
"question": "Suppose a collection of variables is related by the following definitions: t = b + 16; x = r + 4; j = c + 17; q = s + 1; f = 10; e = f + 3; s = e + 9; o = x + 20; b = o + 9; r = f + 10; a = t + 13; c = k + 12; k = q + 5. Given that f = 10, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"y": "e + 16", "h": "y + 11", "u": "h + 7", "k": "u + 11", "b": "k + 11", "d": "b + 20", "p": "e + 10", "i": "p + 2", "j": "i + 20", "o": "j + 8", "l": "o + 19", "f": "l + 15", "e": 8}, "premises": {"e": 8}, "target": "d"}, "answer": {"steps": [["b", "k + 11", "k + 31"], ["k", "u + 11", "u + 42"], ["u", "h + 7", "h + 49"], ["h", "y + 11", "y + 60"], ["y", "e + 16", "e + 76"], ["e", 8, "84"]], "target_var_name": "d", "target_value": 84, "value_dict": {"e": 8}, "is_reverse": true}} | 17,907 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = h + 7; h = y + 11; j = i + 20; o = j + 8; e = 8; i = p + 2; d = b + 20; f = l + 15; b = k + 11; p = e + 10; y = e + 16; l = o + 19; k = u + 11. If e = 8, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 11 to d, which gives d = k + 31.\n2. Substitute k = u + 11 to d, which gives d = u + 42.\n3. Substitute u = h + 7 to d, which gives d = h + 49.\n4. Substitute h = y + 11 to d, which gives d = y + 60.\n5. Substitute y = e + 16 to d, which gives d = e + 76.\n6. Substitute e = 8 to d, which gives d = 84.\n\nThus, the final answer is d = \\boxed{84}.",
"index": 17907,
"question": "Consider a system of variables where each variable is defined as follows: u = h + 7; h = y + 11; j = i + 20; o = j + 8; e = 8; i = p + 2; d = b + 20; f = l + 15; b = k + 11; p = e + 10; y = e + 16; l = o + 19; k = u + 11. If e = 8, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 9", "e": "s + 9", "k": "e + 16", "r": "k + 4", "j": "r + 8", "w": "j + 12", "p": "a + 18", "f": "p + 9", "u": "f + 3", "g": "u + 17", "y": "g + 7", "l": "y + 3", "a": 4}, "premises": {"a": 4}, "target": "w"}, "answer": {"steps": [["j", "r + 8", "r + 20"], ["r", "k + 4", "k + 24"], ["k", "e + 16", "e + 40"], ["e", "s + 9", "s + 49"], ["s", "a + 9", "a + 58"], ["a", 4, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"a": 4}, "is_reverse": true}} | 17,908 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 4; e = s + 9; u = f + 3; p = a + 18; s = a + 9; j = r + 8; y = g + 7; k = e + 16; f = p + 9; g = u + 17; a = 4; l = y + 3; w = j + 12. If a = 4, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 8 to w, which gives w = r + 20.\n2. Substitute r = k + 4 to w, which gives w = k + 24.\n3. Substitute k = e + 16 to w, which gives w = e + 40.\n4. Substitute e = s + 9 to w, which gives w = s + 49.\n5. Substitute s = a + 9 to w, which gives w = a + 58.\n6. Substitute a = 4 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 17908,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 4; e = s + 9; u = f + 3; p = a + 18; s = a + 9; j = r + 8; y = g + 7; k = e + 16; f = p + 9; g = u + 17; a = 4; l = y + 3; w = j + 12. If a = 4, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 14", "m": "i + 6", "b": "m + 18", "o": "b + 4", "a": "o + 16", "u": "a + 6", "f": "y + 12", "x": "f + 15", "h": "x + 13", "q": "h + 9", "k": "q + 8", "z": "k + 7", "y": 13}, "premises": {"y": 13}, "target": "u"}, "answer": {"steps": [["a", "o + 16", "o + 22"], ["o", "b + 4", "b + 26"], ["b", "m + 18", "m + 44"], ["m", "i + 6", "i + 50"], ["i", "y + 14", "y + 64"], ["y", 13, "77"]], "target_var_name": "u", "target_value": 77, "value_dict": {"y": 13}, "is_reverse": true}} | 17,909 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = b + 4; a = o + 16; m = i + 6; k = q + 8; b = m + 18; f = y + 12; h = x + 13; z = k + 7; y = 13; u = a + 6; x = f + 15; q = h + 9; i = y + 14. If y = 13, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 16 to u, which gives u = o + 22.\n2. Substitute o = b + 4 to u, which gives u = b + 26.\n3. Substitute b = m + 18 to u, which gives u = m + 44.\n4. Substitute m = i + 6 to u, which gives u = i + 50.\n5. Substitute i = y + 14 to u, which gives u = y + 64.\n6. Substitute y = 13 to u, which gives u = 77.\n\nThus, the final answer is u = \\boxed{77}.",
"index": 17909,
"question": "Consider a system of variables where each variable is defined as follows: o = b + 4; a = o + 16; m = i + 6; k = q + 8; b = m + 18; f = y + 12; h = x + 13; z = k + 7; y = 13; u = a + 6; x = f + 15; q = h + 9; i = y + 14. If y = 13, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 14", "k": "a + 13", "m": "k + 10", "d": "m + 11", "l": "d + 12", "f": "l + 3", "y": "j + 16", "s": "y + 9", "c": "s + 2", "w": "c + 3", "b": "w + 16", "v": "b + 11", "j": 12}, "premises": {"j": 12}, "target": "f"}, "answer": {"steps": [["l", "d + 12", "d + 15"], ["d", "m + 11", "m + 26"], ["m", "k + 10", "k + 36"], ["k", "a + 13", "a + 49"], ["a", "j + 14", "j + 63"], ["j", 12, "75"]], "target_var_name": "f", "target_value": 75, "value_dict": {"j": 12}, "is_reverse": true}} | 17,910 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 3; m = k + 10; k = a + 13; s = y + 9; a = j + 14; w = c + 3; c = s + 2; d = m + 11; j = 12; l = d + 12; v = b + 11; y = j + 16; b = w + 16. If j = 12, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 12 to f, which gives f = d + 15.\n2. Substitute d = m + 11 to f, which gives f = m + 26.\n3. Substitute m = k + 10 to f, which gives f = k + 36.\n4. Substitute k = a + 13 to f, which gives f = a + 49.\n5. Substitute a = j + 14 to f, which gives f = j + 63.\n6. Substitute j = 12 to f, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 17910,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 3; m = k + 10; k = a + 13; s = y + 9; a = j + 14; w = c + 3; c = s + 2; d = m + 11; j = 12; l = d + 12; v = b + 11; y = j + 16; b = w + 16. If j = 12, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"i": "d + 9", "z": "i + 5", "j": "z + 7", "x": "j + 5", "r": "x + 15", "s": "r + 8", "p": "d + 13", "b": "p + 12", "m": "b + 17", "t": "m + 6", "l": "t + 5", "n": "l + 7", "d": 8}, "premises": {"d": 8}, "target": "s"}, "answer": {"steps": [["r", "x + 15", "x + 23"], ["x", "j + 5", "j + 28"], ["j", "z + 7", "z + 35"], ["z", "i + 5", "i + 40"], ["i", "d + 9", "d + 49"], ["d", 8, "57"]], "target_var_name": "s", "target_value": 57, "value_dict": {"d": 8}, "is_reverse": true}} | 17,911 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = j + 5; d = 8; b = p + 12; m = b + 17; i = d + 9; t = m + 6; n = l + 7; s = r + 8; l = t + 5; p = d + 13; r = x + 15; j = z + 7; z = i + 5. If d = 8, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 15 to s, which gives s = x + 23.\n2. Substitute x = j + 5 to s, which gives s = j + 28.\n3. Substitute j = z + 7 to s, which gives s = z + 35.\n4. Substitute z = i + 5 to s, which gives s = i + 40.\n5. Substitute i = d + 9 to s, which gives s = d + 49.\n6. Substitute d = 8 to s, which gives s = 57.\n\nThus, the final answer is s = \\boxed{57}.",
"index": 17911,
"question": "Consider a system of variables where each variable is defined as follows: x = j + 5; d = 8; b = p + 12; m = b + 17; i = d + 9; t = m + 6; n = l + 7; s = r + 8; l = t + 5; p = d + 13; r = x + 15; j = z + 7; z = i + 5. If d = 8, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 20", "k": "j + 13", "p": "k + 2", "x": "p + 4", "a": "x + 11", "w": "a + 18", "c": "q + 6", "g": "c + 7", "n": "g + 14", "z": "n + 8", "l": "z + 4", "b": "l + 18", "q": 20}, "premises": {"q": 20}, "target": "w"}, "answer": {"steps": [["a", "x + 11", "x + 29"], ["x", "p + 4", "p + 33"], ["p", "k + 2", "k + 35"], ["k", "j + 13", "j + 48"], ["j", "q + 20", "q + 68"], ["q", 20, "88"]], "target_var_name": "w", "target_value": 88, "value_dict": {"q": 20}, "is_reverse": true}} | 17,912 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 6; z = n + 8; x = p + 4; l = z + 4; b = l + 18; k = j + 13; p = k + 2; g = c + 7; q = 20; j = q + 20; w = a + 18; n = g + 14; a = x + 11. If q = 20, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 11 to w, which gives w = x + 29.\n2. Substitute x = p + 4 to w, which gives w = p + 33.\n3. Substitute p = k + 2 to w, which gives w = k + 35.\n4. Substitute k = j + 13 to w, which gives w = j + 48.\n5. Substitute j = q + 20 to w, which gives w = q + 68.\n6. Substitute q = 20 to w, which gives w = 88.\n\nThus, the final answer is w = \\boxed{88}.",
"index": 17912,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 6; z = n + 8; x = p + 4; l = z + 4; b = l + 18; k = j + 13; p = k + 2; g = c + 7; q = 20; j = q + 20; w = a + 18; n = g + 14; a = x + 11. If q = 20, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 13", "d": "k + 15", "j": "d + 6", "b": "j + 10", "z": "b + 18", "x": "z + 9", "s": "c + 10", "h": "s + 19", "f": "h + 8", "u": "f + 10", "w": "u + 12", "r": "w + 17", "c": 6}, "premises": {"c": 6}, "target": "x"}, "answer": {"steps": [["z", "b + 18", "b + 27"], ["b", "j + 10", "j + 37"], ["j", "d + 6", "d + 43"], ["d", "k + 15", "k + 58"], ["k", "c + 13", "c + 71"], ["c", 6, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"c": 6}, "is_reverse": true}} | 17,913 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = s + 19; k = c + 13; z = b + 18; r = w + 17; d = k + 15; x = z + 9; j = d + 6; f = h + 8; u = f + 10; s = c + 10; c = 6; w = u + 12; b = j + 10. Given that c = 6, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 18 to x, which gives x = b + 27.\n2. Substitute b = j + 10 to x, which gives x = j + 37.\n3. Substitute j = d + 6 to x, which gives x = d + 43.\n4. Substitute d = k + 15 to x, which gives x = k + 58.\n5. Substitute k = c + 13 to x, which gives x = c + 71.\n6. Substitute c = 6 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 17913,
"question": "Suppose a collection of variables is related by the following definitions: h = s + 19; k = c + 13; z = b + 18; r = w + 17; d = k + 15; x = z + 9; j = d + 6; f = h + 8; u = f + 10; s = c + 10; c = 6; w = u + 12; b = j + 10. Given that c = 6, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 4", "o": "n + 12", "z": "o + 6", "j": "z + 13", "i": "j + 17", "l": "i + 5", "e": "v + 15", "b": "e + 19", "a": "b + 12", "c": "a + 13", "u": "c + 8", "p": "u + 8", "v": 10}, "premises": {"v": 10}, "target": "l"}, "answer": {"steps": [["i", "j + 17", "j + 22"], ["j", "z + 13", "z + 35"], ["z", "o + 6", "o + 41"], ["o", "n + 12", "n + 53"], ["n", "v + 4", "v + 57"], ["v", 10, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"v": 10}, "is_reverse": true}} | 17,914 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = n + 12; n = v + 4; p = u + 8; c = a + 13; i = j + 17; j = z + 13; z = o + 6; e = v + 15; l = i + 5; b = e + 19; v = 10; u = c + 8; a = b + 12. Given that v = 10, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 17 to l, which gives l = j + 22.\n2. Substitute j = z + 13 to l, which gives l = z + 35.\n3. Substitute z = o + 6 to l, which gives l = o + 41.\n4. Substitute o = n + 12 to l, which gives l = n + 53.\n5. Substitute n = v + 4 to l, which gives l = v + 57.\n6. Substitute v = 10 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 17914,
"question": "Suppose a collection of variables is related by the following definitions: o = n + 12; n = v + 4; p = u + 8; c = a + 13; i = j + 17; j = z + 13; z = o + 6; e = v + 15; l = i + 5; b = e + 19; v = 10; u = c + 8; a = b + 12. Given that v = 10, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"v": "a + 5", "d": "v + 10", "x": "d + 13", "o": "x + 2", "m": "o + 13", "y": "m + 5", "w": "a + 8", "g": "w + 11", "k": "g + 6", "u": "k + 8", "f": "u + 12", "c": "f + 13", "a": 3}, "premises": {"a": 3}, "target": "y"}, "answer": {"steps": [["m", "o + 13", "o + 18"], ["o", "x + 2", "x + 20"], ["x", "d + 13", "d + 33"], ["d", "v + 10", "v + 43"], ["v", "a + 5", "a + 48"], ["a", 3, "51"]], "target_var_name": "y", "target_value": 51, "value_dict": {"a": 3}, "is_reverse": true}} | 17,915 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 6; u = k + 8; g = w + 11; m = o + 13; d = v + 10; c = f + 13; o = x + 2; x = d + 13; v = a + 5; w = a + 8; a = 3; y = m + 5; f = u + 12. If a = 3, determine the 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 m = o + 13 to y, which gives y = o + 18.\n2. Substitute o = x + 2 to y, which gives y = x + 20.\n3. Substitute x = d + 13 to y, which gives y = d + 33.\n4. Substitute d = v + 10 to y, which gives y = v + 43.\n5. Substitute v = a + 5 to y, which gives y = a + 48.\n6. Substitute a = 3 to y, which gives y = 51.\n\nThus, the final answer is y = \\boxed{51}.",
"index": 17915,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 6; u = k + 8; g = w + 11; m = o + 13; d = v + 10; c = f + 13; o = x + 2; x = d + 13; v = a + 5; w = a + 8; a = 3; y = m + 5; f = u + 12. If a = 3, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 5", "k": "a + 1", "m": "k + 2", "s": "m + 18", "x": "s + 10", "n": "x + 4", "c": "y + 15", "r": "c + 6", "p": "r + 17", "j": "p + 13", "b": "j + 8", "t": "b + 3", "y": 19}, "premises": {"y": 19}, "target": "n"}, "answer": {"steps": [["x", "s + 10", "s + 14"], ["s", "m + 18", "m + 32"], ["m", "k + 2", "k + 34"], ["k", "a + 1", "a + 35"], ["a", "y + 5", "y + 40"], ["y", 19, "59"]], "target_var_name": "n", "target_value": 59, "value_dict": {"y": 19}, "is_reverse": true}} | 17,916 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 19; j = p + 13; k = a + 1; s = m + 18; n = x + 4; a = y + 5; p = r + 17; m = k + 2; r = c + 6; b = j + 8; x = s + 10; c = y + 15; t = b + 3. Given that y = 19, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 10 to n, which gives n = s + 14.\n2. Substitute s = m + 18 to n, which gives n = m + 32.\n3. Substitute m = k + 2 to n, which gives n = k + 34.\n4. Substitute k = a + 1 to n, which gives n = a + 35.\n5. Substitute a = y + 5 to n, which gives n = y + 40.\n6. Substitute y = 19 to n, which gives n = 59.\n\nThus, the final answer is n = \\boxed{59}.",
"index": 17916,
"question": "Suppose a collection of variables is related by the following definitions: y = 19; j = p + 13; k = a + 1; s = m + 18; n = x + 4; a = y + 5; p = r + 17; m = k + 2; r = c + 6; b = j + 8; x = s + 10; c = y + 15; t = b + 3. Given that y = 19, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 15", "q": "y + 16", "t": "q + 10", "x": "t + 14", "n": "x + 1", "u": "n + 11", "m": "p + 10", "f": "m + 13", "j": "f + 1", "e": "j + 9", "g": "e + 6", "l": "g + 2", "p": 1}, "premises": {"p": 1}, "target": "u"}, "answer": {"steps": [["n", "x + 1", "x + 12"], ["x", "t + 14", "t + 26"], ["t", "q + 10", "q + 36"], ["q", "y + 16", "y + 52"], ["y", "p + 15", "p + 67"], ["p", 1, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"p": 1}, "is_reverse": true}} | 17,917 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = q + 10; e = j + 9; x = t + 14; u = n + 11; y = p + 15; g = e + 6; l = g + 2; j = f + 1; n = x + 1; f = m + 13; p = 1; q = y + 16; m = p + 10. Given that p = 1, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 1 to u, which gives u = x + 12.\n2. Substitute x = t + 14 to u, which gives u = t + 26.\n3. Substitute t = q + 10 to u, which gives u = q + 36.\n4. Substitute q = y + 16 to u, which gives u = y + 52.\n5. Substitute y = p + 15 to u, which gives u = p + 67.\n6. Substitute p = 1 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 17917,
"question": "Suppose a collection of variables is related by the following definitions: t = q + 10; e = j + 9; x = t + 14; u = n + 11; y = p + 15; g = e + 6; l = g + 2; j = f + 1; n = x + 1; f = m + 13; p = 1; q = y + 16; m = p + 10. Given that p = 1, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 4", "k": "p + 7", "j": "k + 2", "d": "j + 15", "u": "d + 6", "o": "u + 8", "l": "m + 15", "h": "l + 13", "b": "h + 3", "c": "b + 20", "y": "c + 8", "z": "y + 13", "m": 11}, "premises": {"m": 11}, "target": "o"}, "answer": {"steps": [["u", "d + 6", "d + 14"], ["d", "j + 15", "j + 29"], ["j", "k + 2", "k + 31"], ["k", "p + 7", "p + 38"], ["p", "m + 4", "m + 42"], ["m", 11, "53"]], "target_var_name": "o", "target_value": 53, "value_dict": {"m": 11}, "is_reverse": true}} | 17,918 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = j + 15; u = d + 6; o = u + 8; l = m + 15; c = b + 20; y = c + 8; z = y + 13; p = m + 4; j = k + 2; b = h + 3; m = 11; h = l + 13; k = p + 7. Given that m = 11, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 6 to o, which gives o = d + 14.\n2. Substitute d = j + 15 to o, which gives o = j + 29.\n3. Substitute j = k + 2 to o, which gives o = k + 31.\n4. Substitute k = p + 7 to o, which gives o = p + 38.\n5. Substitute p = m + 4 to o, which gives o = m + 42.\n6. Substitute m = 11 to o, which gives o = 53.\n\nThus, the final answer is o = \\boxed{53}.",
"index": 17918,
"question": "Suppose a collection of variables is related by the following definitions: d = j + 15; u = d + 6; o = u + 8; l = m + 15; c = b + 20; y = c + 8; z = y + 13; p = m + 4; j = k + 2; b = h + 3; m = 11; h = l + 13; k = p + 7. Given that m = 11, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 13", "r": "a + 2", "q": "r + 5", "n": "q + 3", "i": "n + 10", "b": "i + 15", "s": "m + 8", "l": "s + 2", "g": "l + 9", "o": "g + 4", "u": "o + 10", "j": "u + 6", "m": 16}, "premises": {"m": 16}, "target": "b"}, "answer": {"steps": [["i", "n + 10", "n + 25"], ["n", "q + 3", "q + 28"], ["q", "r + 5", "r + 33"], ["r", "a + 2", "a + 35"], ["a", "m + 13", "m + 48"], ["m", 16, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"m": 16}, "is_reverse": true}} | 17,919 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = m + 8; a = m + 13; g = l + 9; m = 16; r = a + 2; q = r + 5; o = g + 4; i = n + 10; u = o + 10; j = u + 6; n = q + 3; b = i + 15; l = s + 2. If m = 16, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 10 to b, which gives b = n + 25.\n2. Substitute n = q + 3 to b, which gives b = q + 28.\n3. Substitute q = r + 5 to b, which gives b = r + 33.\n4. Substitute r = a + 2 to b, which gives b = a + 35.\n5. Substitute a = m + 13 to b, which gives b = m + 48.\n6. Substitute m = 16 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 17919,
"question": "Consider a system of variables where each variable is defined as follows: s = m + 8; a = m + 13; g = l + 9; m = 16; r = a + 2; q = r + 5; o = g + 4; i = n + 10; u = o + 10; j = u + 6; n = q + 3; b = i + 15; l = s + 2. If m = 16, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"e": "m + 4", "n": "e + 1", "h": "n + 9", "r": "h + 3", "d": "r + 5", "k": "d + 19", "i": "m + 7", "x": "i + 12", "j": "x + 17", "f": "j + 4", "g": "f + 9", "u": "g + 12", "m": 9}, "premises": {"m": 9}, "target": "k"}, "answer": {"steps": [["d", "r + 5", "r + 24"], ["r", "h + 3", "h + 27"], ["h", "n + 9", "n + 36"], ["n", "e + 1", "e + 37"], ["e", "m + 4", "m + 41"], ["m", 9, "50"]], "target_var_name": "k", "target_value": 50, "value_dict": {"m": 9}, "is_reverse": true}} | 17,920 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = m + 4; f = j + 4; h = n + 9; i = m + 7; g = f + 9; m = 9; u = g + 12; j = x + 17; r = h + 3; x = i + 12; d = r + 5; k = d + 19; n = e + 1. If m = 9, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 5 to k, which gives k = r + 24.\n2. Substitute r = h + 3 to k, which gives k = h + 27.\n3. Substitute h = n + 9 to k, which gives k = n + 36.\n4. Substitute n = e + 1 to k, which gives k = e + 37.\n5. Substitute e = m + 4 to k, which gives k = m + 41.\n6. Substitute m = 9 to k, which gives k = 50.\n\nThus, the final answer is k = \\boxed{50}.",
"index": 17920,
"question": "Consider a system of variables where each variable is defined as follows: e = m + 4; f = j + 4; h = n + 9; i = m + 7; g = f + 9; m = 9; u = g + 12; j = x + 17; r = h + 3; x = i + 12; d = r + 5; k = d + 19; n = e + 1. If m = 9, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 15", "o": "h + 7", "k": "o + 12", "y": "k + 6", "z": "y + 10", "s": "z + 13", "j": "e + 11", "v": "j + 14", "q": "v + 13", "b": "q + 1", "l": "b + 4", "a": "l + 15", "e": 15}, "premises": {"e": 15}, "target": "s"}, "answer": {"steps": [["z", "y + 10", "y + 23"], ["y", "k + 6", "k + 29"], ["k", "o + 12", "o + 41"], ["o", "h + 7", "h + 48"], ["h", "e + 15", "e + 63"], ["e", 15, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"e": 15}, "is_reverse": true}} | 17,921 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = b + 4; v = j + 14; k = o + 12; s = z + 13; j = e + 11; b = q + 1; e = 15; h = e + 15; a = l + 15; o = h + 7; z = y + 10; q = v + 13; y = k + 6. Given that e = 15, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 10 to s, which gives s = y + 23.\n2. Substitute y = k + 6 to s, which gives s = k + 29.\n3. Substitute k = o + 12 to s, which gives s = o + 41.\n4. Substitute o = h + 7 to s, which gives s = h + 48.\n5. Substitute h = e + 15 to s, which gives s = e + 63.\n6. Substitute e = 15 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 17921,
"question": "Suppose a collection of variables is related by the following definitions: l = b + 4; v = j + 14; k = o + 12; s = z + 13; j = e + 11; b = q + 1; e = 15; h = e + 15; a = l + 15; o = h + 7; z = y + 10; q = v + 13; y = k + 6. Given that e = 15, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 1", "s": "a + 19", "l": "s + 16", "m": "l + 1", "g": "m + 5", "x": "g + 7", "w": "v + 9", "k": "w + 3", "u": "k + 15", "q": "u + 1", "r": "q + 9", "z": "r + 1", "v": 9}, "premises": {"v": 9}, "target": "x"}, "answer": {"steps": [["g", "m + 5", "m + 12"], ["m", "l + 1", "l + 13"], ["l", "s + 16", "s + 29"], ["s", "a + 19", "a + 48"], ["a", "v + 1", "v + 49"], ["v", 9, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"v": 9}, "is_reverse": true}} | 17,922 | 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 = u + 1; x = g + 7; s = a + 19; g = m + 5; w = v + 9; r = q + 9; u = k + 15; a = v + 1; v = 9; z = r + 1; k = w + 3; m = l + 1; l = s + 16. If v = 9, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 5 to x, which gives x = m + 12.\n2. Substitute m = l + 1 to x, which gives x = l + 13.\n3. Substitute l = s + 16 to x, which gives x = s + 29.\n4. Substitute s = a + 19 to x, which gives x = a + 48.\n5. Substitute a = v + 1 to x, which gives x = v + 49.\n6. Substitute v = 9 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 17922,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = u + 1; x = g + 7; s = a + 19; g = m + 5; w = v + 9; r = q + 9; u = k + 15; a = v + 1; v = 9; z = r + 1; k = w + 3; m = l + 1; l = s + 16. If v = 9, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"l": "a + 10", "b": "l + 2", "w": "b + 10", "n": "w + 20", "v": "n + 18", "p": "v + 16", "u": "a + 15", "d": "u + 10", "x": "d + 8", "i": "x + 16", "k": "i + 4", "e": "k + 16", "a": 9}, "premises": {"a": 9}, "target": "p"}, "answer": {"steps": [["v", "n + 18", "n + 34"], ["n", "w + 20", "w + 54"], ["w", "b + 10", "b + 64"], ["b", "l + 2", "l + 66"], ["l", "a + 10", "a + 76"], ["a", 9, "85"]], "target_var_name": "p", "target_value": 85, "value_dict": {"a": 9}, "is_reverse": true}} | 17,923 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = l + 2; d = u + 10; u = a + 15; a = 9; e = k + 16; l = a + 10; x = d + 8; i = x + 16; k = i + 4; p = v + 16; n = w + 20; v = n + 18; w = b + 10. Given that a = 9, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 18 to p, which gives p = n + 34.\n2. Substitute n = w + 20 to p, which gives p = w + 54.\n3. Substitute w = b + 10 to p, which gives p = b + 64.\n4. Substitute b = l + 2 to p, which gives p = l + 66.\n5. Substitute l = a + 10 to p, which gives p = a + 76.\n6. Substitute a = 9 to p, which gives p = 85.\n\nThus, the final answer is p = \\boxed{85}.",
"index": 17923,
"question": "Suppose a collection of variables is related by the following definitions: b = l + 2; d = u + 10; u = a + 15; a = 9; e = k + 16; l = a + 10; x = d + 8; i = x + 16; k = i + 4; p = v + 16; n = w + 20; v = n + 18; w = b + 10. Given that a = 9, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 18", "p": "j + 7", "q": "p + 13", "y": "q + 8", "e": "y + 14", "x": "e + 5", "o": "i + 20", "n": "o + 11", "l": "n + 10", "k": "l + 16", "d": "k + 7", "m": "d + 1", "i": 13}, "premises": {"i": 13}, "target": "x"}, "answer": {"steps": [["e", "y + 14", "y + 19"], ["y", "q + 8", "q + 27"], ["q", "p + 13", "p + 40"], ["p", "j + 7", "j + 47"], ["j", "i + 18", "i + 65"], ["i", 13, "78"]], "target_var_name": "x", "target_value": 78, "value_dict": {"i": 13}, "is_reverse": true}} | 17,924 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = i + 20; m = d + 1; k = l + 16; e = y + 14; j = i + 18; d = k + 7; l = n + 10; p = j + 7; n = o + 11; i = 13; x = e + 5; y = q + 8; q = p + 13. If i = 13, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 14 to x, which gives x = y + 19.\n2. Substitute y = q + 8 to x, which gives x = q + 27.\n3. Substitute q = p + 13 to x, which gives x = p + 40.\n4. Substitute p = j + 7 to x, which gives x = j + 47.\n5. Substitute j = i + 18 to x, which gives x = i + 65.\n6. Substitute i = 13 to x, which gives x = 78.\n\nThus, the final answer is x = \\boxed{78}.",
"index": 17924,
"question": "Consider a system of variables where each variable is defined as follows: o = i + 20; m = d + 1; k = l + 16; e = y + 14; j = i + 18; d = k + 7; l = n + 10; p = j + 7; n = o + 11; i = 13; x = e + 5; y = q + 8; q = p + 13. If i = 13, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 5", "l": "z + 16", "n": "l + 3", "a": "n + 1", "q": "a + 14", "h": "q + 15", "s": "i + 15", "u": "s + 20", "o": "u + 19", "x": "o + 15", "c": "x + 13", "e": "c + 16", "i": 3}, "premises": {"i": 3}, "target": "h"}, "answer": {"steps": [["q", "a + 14", "a + 29"], ["a", "n + 1", "n + 30"], ["n", "l + 3", "l + 33"], ["l", "z + 16", "z + 49"], ["z", "i + 5", "i + 54"], ["i", 3, "57"]], "target_var_name": "h", "target_value": 57, "value_dict": {"i": 3}, "is_reverse": true}} | 17,925 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 3; s = i + 15; z = i + 5; u = s + 20; q = a + 14; h = q + 15; n = l + 3; l = z + 16; c = x + 13; x = o + 15; e = c + 16; o = u + 19; a = n + 1. If i = 3, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 14 to h, which gives h = a + 29.\n2. Substitute a = n + 1 to h, which gives h = n + 30.\n3. Substitute n = l + 3 to h, which gives h = l + 33.\n4. Substitute l = z + 16 to h, which gives h = z + 49.\n5. Substitute z = i + 5 to h, which gives h = i + 54.\n6. Substitute i = 3 to h, which gives h = 57.\n\nThus, the final answer is h = \\boxed{57}.",
"index": 17925,
"question": "Consider a system of variables where each variable is defined as follows: i = 3; s = i + 15; z = i + 5; u = s + 20; q = a + 14; h = q + 15; n = l + 3; l = z + 16; c = x + 13; x = o + 15; e = c + 16; o = u + 19; a = n + 1. If i = 3, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 1", "w": "m + 18", "u": "w + 11", "t": "u + 12", "o": "t + 18", "l": "o + 4", "x": "n + 8", "e": "x + 5", "f": "e + 7", "a": "f + 6", "v": "a + 20", "q": "v + 18", "n": 10}, "premises": {"n": 10}, "target": "l"}, "answer": {"steps": [["o", "t + 18", "t + 22"], ["t", "u + 12", "u + 34"], ["u", "w + 11", "w + 45"], ["w", "m + 18", "m + 63"], ["m", "n + 1", "n + 64"], ["n", 10, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"n": 10}, "is_reverse": true}} | 17,926 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = 10; x = n + 8; w = m + 18; v = a + 20; e = x + 5; o = t + 18; f = e + 7; q = v + 18; l = o + 4; u = w + 11; t = u + 12; m = n + 1; a = f + 6. If n = 10, 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 o = t + 18 to l, which gives l = t + 22.\n2. Substitute t = u + 12 to l, which gives l = u + 34.\n3. Substitute u = w + 11 to l, which gives l = w + 45.\n4. Substitute w = m + 18 to l, which gives l = m + 63.\n5. Substitute m = n + 1 to l, which gives l = n + 64.\n6. Substitute n = 10 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 17926,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = 10; x = n + 8; w = m + 18; v = a + 20; e = x + 5; o = t + 18; f = e + 7; q = v + 18; l = o + 4; u = w + 11; t = u + 12; m = n + 1; a = f + 6. If n = 10, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 1", "r": "u + 9", "h": "r + 12", "b": "h + 13", "x": "b + 19", "c": "x + 20", "q": "m + 16", "s": "q + 1", "z": "s + 3", "l": "z + 16", "n": "l + 14", "a": "n + 20", "m": 20}, "premises": {"m": 20}, "target": "c"}, "answer": {"steps": [["x", "b + 19", "b + 39"], ["b", "h + 13", "h + 52"], ["h", "r + 12", "r + 64"], ["r", "u + 9", "u + 73"], ["u", "m + 1", "m + 74"], ["m", 20, "94"]], "target_var_name": "c", "target_value": 94, "value_dict": {"m": 20}, "is_reverse": true}} | 17,927 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = x + 20; q = m + 16; b = h + 13; z = s + 3; h = r + 12; x = b + 19; r = u + 9; m = 20; a = n + 20; u = m + 1; s = q + 1; l = z + 16; n = l + 14. If m = 20, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 19 to c, which gives c = b + 39.\n2. Substitute b = h + 13 to c, which gives c = h + 52.\n3. Substitute h = r + 12 to c, which gives c = r + 64.\n4. Substitute r = u + 9 to c, which gives c = u + 73.\n5. Substitute u = m + 1 to c, which gives c = m + 74.\n6. Substitute m = 20 to c, which gives c = 94.\n\nThus, the final answer is c = \\boxed{94}.",
"index": 17927,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = x + 20; q = m + 16; b = h + 13; z = s + 3; h = r + 12; x = b + 19; r = u + 9; m = 20; a = n + 20; u = m + 1; s = q + 1; l = z + 16; n = l + 14. If m = 20, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"m": "j + 15", "l": "m + 5", "v": "l + 15", "h": "v + 20", "f": "h + 14", "p": "f + 16", "a": "j + 11", "x": "a + 9", "n": "x + 7", "u": "n + 16", "r": "u + 5", "d": "r + 5", "j": 8}, "premises": {"j": 8}, "target": "p"}, "answer": {"steps": [["f", "h + 14", "h + 30"], ["h", "v + 20", "v + 50"], ["v", "l + 15", "l + 65"], ["l", "m + 5", "m + 70"], ["m", "j + 15", "j + 85"], ["j", 8, "93"]], "target_var_name": "p", "target_value": 93, "value_dict": {"j": 8}, "is_reverse": true}} | 17,928 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = h + 14; v = l + 15; p = f + 16; a = j + 11; u = n + 16; l = m + 5; d = r + 5; r = u + 5; j = 8; m = j + 15; n = x + 7; h = v + 20; x = a + 9. Given that j = 8, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 14 to p, which gives p = h + 30.\n2. Substitute h = v + 20 to p, which gives p = v + 50.\n3. Substitute v = l + 15 to p, which gives p = l + 65.\n4. Substitute l = m + 5 to p, which gives p = m + 70.\n5. Substitute m = j + 15 to p, which gives p = j + 85.\n6. Substitute j = 8 to p, which gives p = 93.\n\nThus, the final answer is p = \\boxed{93}.",
"index": 17928,
"question": "Suppose a collection of variables is related by the following definitions: f = h + 14; v = l + 15; p = f + 16; a = j + 11; u = n + 16; l = m + 5; d = r + 5; r = u + 5; j = 8; m = j + 15; n = x + 7; h = v + 20; x = a + 9. Given that j = 8, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 14", "b": "t + 17", "n": "b + 12", "x": "n + 14", "h": "x + 18", "c": "h + 8", "r": "y + 19", "a": "r + 7", "z": "a + 16", "e": "z + 15", "d": "e + 4", "w": "d + 4", "y": 18}, "premises": {"y": 18}, "target": "c"}, "answer": {"steps": [["h", "x + 18", "x + 26"], ["x", "n + 14", "n + 40"], ["n", "b + 12", "b + 52"], ["b", "t + 17", "t + 69"], ["t", "y + 14", "y + 83"], ["y", 18, "101"]], "target_var_name": "c", "target_value": 101, "value_dict": {"y": 18}, "is_reverse": true}} | 17,929 | 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 + 19; z = a + 16; n = b + 12; d = e + 4; b = t + 17; x = n + 14; w = d + 4; y = 18; h = x + 18; c = h + 8; e = z + 15; t = y + 14; a = r + 7. If y = 18, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 18 to c, which gives c = x + 26.\n2. Substitute x = n + 14 to c, which gives c = n + 40.\n3. Substitute n = b + 12 to c, which gives c = b + 52.\n4. Substitute b = t + 17 to c, which gives c = t + 69.\n5. Substitute t = y + 14 to c, which gives c = y + 83.\n6. Substitute y = 18 to c, which gives c = 101.\n\nThus, the final answer is c = \\boxed{101}.",
"index": 17929,
"question": "Consider a system of variables where each variable is defined as follows: r = y + 19; z = a + 16; n = b + 12; d = e + 4; b = t + 17; x = n + 14; w = d + 4; y = 18; h = x + 18; c = h + 8; e = z + 15; t = y + 14; a = r + 7. If y = 18, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 2", "v": "b + 5", "r": "v + 3", "u": "r + 15", "g": "u + 4", "o": "g + 12", "q": "c + 7", "p": "q + 2", "d": "p + 18", "x": "d + 2", "y": "x + 6", "l": "y + 8", "c": 20}, "premises": {"c": 20}, "target": "o"}, "answer": {"steps": [["g", "u + 4", "u + 16"], ["u", "r + 15", "r + 31"], ["r", "v + 3", "v + 34"], ["v", "b + 5", "b + 39"], ["b", "c + 2", "c + 41"], ["c", 20, "61"]], "target_var_name": "o", "target_value": 61, "value_dict": {"c": 20}, "is_reverse": true}} | 17,930 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = r + 15; r = v + 3; q = c + 7; o = g + 12; b = c + 2; x = d + 2; y = x + 6; p = q + 2; l = y + 8; d = p + 18; v = b + 5; c = 20; g = u + 4. Given that c = 20, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 4 to o, which gives o = u + 16.\n2. Substitute u = r + 15 to o, which gives o = r + 31.\n3. Substitute r = v + 3 to o, which gives o = v + 34.\n4. Substitute v = b + 5 to o, which gives o = b + 39.\n5. Substitute b = c + 2 to o, which gives o = c + 41.\n6. Substitute c = 20 to o, which gives o = 61.\n\nThus, the final answer is o = \\boxed{61}.",
"index": 17930,
"question": "Suppose a collection of variables is related by the following definitions: u = r + 15; r = v + 3; q = c + 7; o = g + 12; b = c + 2; x = d + 2; y = x + 6; p = q + 2; l = y + 8; d = p + 18; v = b + 5; c = 20; g = u + 4. Given that c = 20, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 17", "z": "o + 12", "x": "z + 10", "q": "x + 14", "f": "q + 15", "g": "f + 8", "k": "m + 4", "v": "k + 20", "s": "v + 8", "b": "s + 5", "r": "b + 17", "n": "r + 3", "m": 13}, "premises": {"m": 13}, "target": "g"}, "answer": {"steps": [["f", "q + 15", "q + 23"], ["q", "x + 14", "x + 37"], ["x", "z + 10", "z + 47"], ["z", "o + 12", "o + 59"], ["o", "m + 17", "m + 76"], ["m", 13, "89"]], "target_var_name": "g", "target_value": 89, "value_dict": {"m": 13}, "is_reverse": true}} | 17,931 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = k + 20; z = o + 12; g = f + 8; s = v + 8; k = m + 4; f = q + 15; n = r + 3; q = x + 14; m = 13; r = b + 17; o = m + 17; x = z + 10; b = s + 5. If m = 13, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 15 to g, which gives g = q + 23.\n2. Substitute q = x + 14 to g, which gives g = x + 37.\n3. Substitute x = z + 10 to g, which gives g = z + 47.\n4. Substitute z = o + 12 to g, which gives g = o + 59.\n5. Substitute o = m + 17 to g, which gives g = m + 76.\n6. Substitute m = 13 to g, which gives g = 89.\n\nThus, the final answer is g = \\boxed{89}.",
"index": 17931,
"question": "Consider a system of variables where each variable is defined as follows: v = k + 20; z = o + 12; g = f + 8; s = v + 8; k = m + 4; f = q + 15; n = r + 3; q = x + 14; m = 13; r = b + 17; o = m + 17; x = z + 10; b = s + 5. If m = 13, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 3", "o": "t + 9", "l": "o + 17", "s": "l + 7", "k": "s + 12", "d": "k + 10", "h": "q + 14", "f": "h + 4", "x": "f + 17", "g": "x + 2", "y": "g + 14", "c": "y + 11", "q": 12}, "premises": {"q": 12}, "target": "d"}, "answer": {"steps": [["k", "s + 12", "s + 22"], ["s", "l + 7", "l + 29"], ["l", "o + 17", "o + 46"], ["o", "t + 9", "t + 55"], ["t", "q + 3", "q + 58"], ["q", 12, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"q": 12}, "is_reverse": true}} | 17,932 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = x + 2; f = h + 4; c = y + 11; q = 12; x = f + 17; t = q + 3; k = s + 12; l = o + 17; d = k + 10; h = q + 14; o = t + 9; y = g + 14; s = l + 7. Given that q = 12, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 12 to d, which gives d = s + 22.\n2. Substitute s = l + 7 to d, which gives d = l + 29.\n3. Substitute l = o + 17 to d, which gives d = o + 46.\n4. Substitute o = t + 9 to d, which gives d = t + 55.\n5. Substitute t = q + 3 to d, which gives d = q + 58.\n6. Substitute q = 12 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 17932,
"question": "Suppose a collection of variables is related by the following definitions: g = x + 2; f = h + 4; c = y + 11; q = 12; x = f + 17; t = q + 3; k = s + 12; l = o + 17; d = k + 10; h = q + 14; o = t + 9; y = g + 14; s = l + 7. Given that q = 12, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"p": "y + 3", "j": "p + 13", "q": "j + 2", "l": "q + 11", "x": "l + 6", "c": "x + 11", "z": "y + 2", "u": "z + 3", "f": "u + 13", "v": "f + 19", "m": "v + 17", "n": "m + 19", "y": 17}, "premises": {"y": 17}, "target": "c"}, "answer": {"steps": [["x", "l + 6", "l + 17"], ["l", "q + 11", "q + 28"], ["q", "j + 2", "j + 30"], ["j", "p + 13", "p + 43"], ["p", "y + 3", "y + 46"], ["y", 17, "63"]], "target_var_name": "c", "target_value": 63, "value_dict": {"y": 17}, "is_reverse": true}} | 17,933 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = u + 13; x = l + 6; j = p + 13; m = v + 17; y = 17; z = y + 2; l = q + 11; p = y + 3; v = f + 19; n = m + 19; c = x + 11; q = j + 2; u = z + 3. Given that y = 17, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 6 to c, which gives c = l + 17.\n2. Substitute l = q + 11 to c, which gives c = q + 28.\n3. Substitute q = j + 2 to c, which gives c = j + 30.\n4. Substitute j = p + 13 to c, which gives c = p + 43.\n5. Substitute p = y + 3 to c, which gives c = y + 46.\n6. Substitute y = 17 to c, which gives c = 63.\n\nThus, the final answer is c = \\boxed{63}.",
"index": 17933,
"question": "Suppose a collection of variables is related by the following definitions: f = u + 13; x = l + 6; j = p + 13; m = v + 17; y = 17; z = y + 2; l = q + 11; p = y + 3; v = f + 19; n = m + 19; c = x + 11; q = j + 2; u = z + 3. Given that y = 17, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"m": "v + 20", "k": "m + 17", "c": "k + 20", "j": "c + 17", "i": "j + 2", "x": "i + 17", "a": "v + 1", "h": "a + 20", "y": "h + 15", "b": "y + 20", "q": "b + 7", "o": "q + 10", "v": 17}, "premises": {"v": 17}, "target": "x"}, "answer": {"steps": [["i", "j + 2", "j + 19"], ["j", "c + 17", "c + 36"], ["c", "k + 20", "k + 56"], ["k", "m + 17", "m + 73"], ["m", "v + 20", "v + 93"], ["v", 17, "110"]], "target_var_name": "x", "target_value": 110, "value_dict": {"v": 17}, "is_reverse": true}} | 17,934 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = y + 20; m = v + 20; a = v + 1; y = h + 15; j = c + 17; k = m + 17; i = j + 2; h = a + 20; v = 17; q = b + 7; x = i + 17; o = q + 10; c = k + 20. Given that v = 17, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 2 to x, which gives x = j + 19.\n2. Substitute j = c + 17 to x, which gives x = c + 36.\n3. Substitute c = k + 20 to x, which gives x = k + 56.\n4. Substitute k = m + 17 to x, which gives x = m + 73.\n5. Substitute m = v + 20 to x, which gives x = v + 93.\n6. Substitute v = 17 to x, which gives x = 110.\n\nThus, the final answer is x = \\boxed{110}.",
"index": 17934,
"question": "Suppose a collection of variables is related by the following definitions: b = y + 20; m = v + 20; a = v + 1; y = h + 15; j = c + 17; k = m + 17; i = j + 2; h = a + 20; v = 17; q = b + 7; x = i + 17; o = q + 10; c = k + 20. Given that v = 17, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 11", "y": "x + 6", "p": "y + 16", "u": "p + 16", "z": "u + 6", "w": "z + 3", "a": "e + 20", "o": "a + 2", "f": "o + 5", "q": "f + 20", "s": "q + 17", "d": "s + 20", "e": 18}, "premises": {"e": 18}, "target": "w"}, "answer": {"steps": [["z", "u + 6", "u + 9"], ["u", "p + 16", "p + 25"], ["p", "y + 16", "y + 41"], ["y", "x + 6", "x + 47"], ["x", "e + 11", "e + 58"], ["e", 18, "76"]], "target_var_name": "w", "target_value": 76, "value_dict": {"e": 18}, "is_reverse": true}} | 17,935 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 20; w = z + 3; x = e + 11; z = u + 6; d = s + 20; q = f + 20; e = 18; f = o + 5; y = x + 6; u = p + 16; s = q + 17; p = y + 16; o = a + 2. If e = 18, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 6 to w, which gives w = u + 9.\n2. Substitute u = p + 16 to w, which gives w = p + 25.\n3. Substitute p = y + 16 to w, which gives w = y + 41.\n4. Substitute y = x + 6 to w, which gives w = x + 47.\n5. Substitute x = e + 11 to w, which gives w = e + 58.\n6. Substitute e = 18 to w, which gives w = 76.\n\nThus, the final answer is w = \\boxed{76}.",
"index": 17935,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 20; w = z + 3; x = e + 11; z = u + 6; d = s + 20; q = f + 20; e = 18; f = o + 5; y = x + 6; u = p + 16; s = q + 17; p = y + 16; o = a + 2. If e = 18, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 18", "k": "y + 6", "i": "k + 5", "q": "i + 17", "z": "q + 1", "p": "z + 7", "u": "j + 10", "s": "u + 7", "x": "s + 17", "m": "x + 14", "e": "m + 7", "r": "e + 4", "j": 10}, "premises": {"j": 10}, "target": "p"}, "answer": {"steps": [["z", "q + 1", "q + 8"], ["q", "i + 17", "i + 25"], ["i", "k + 5", "k + 30"], ["k", "y + 6", "y + 36"], ["y", "j + 18", "j + 54"], ["j", 10, "64"]], "target_var_name": "p", "target_value": 64, "value_dict": {"j": 10}, "is_reverse": true}} | 17,936 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 10; q = i + 17; z = q + 1; y = j + 18; e = m + 7; u = j + 10; p = z + 7; k = y + 6; m = x + 14; x = s + 17; r = e + 4; i = k + 5; s = u + 7. Given that j = 10, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 1 to p, which gives p = q + 8.\n2. Substitute q = i + 17 to p, which gives p = i + 25.\n3. Substitute i = k + 5 to p, which gives p = k + 30.\n4. Substitute k = y + 6 to p, which gives p = y + 36.\n5. Substitute y = j + 18 to p, which gives p = j + 54.\n6. Substitute j = 10 to p, which gives p = 64.\n\nThus, the final answer is p = \\boxed{64}.",
"index": 17936,
"question": "Suppose a collection of variables is related by the following definitions: j = 10; q = i + 17; z = q + 1; y = j + 18; e = m + 7; u = j + 10; p = z + 7; k = y + 6; m = x + 14; x = s + 17; r = e + 4; i = k + 5; s = u + 7. Given that j = 10, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 4", "u": "a + 14", "x": "u + 2", "h": "x + 8", "m": "h + 20", "n": "m + 19", "t": "k + 5", "w": "t + 19", "v": "w + 14", "q": "v + 2", "z": "q + 1", "c": "z + 3", "k": 19}, "premises": {"k": 19}, "target": "n"}, "answer": {"steps": [["m", "h + 20", "h + 39"], ["h", "x + 8", "x + 47"], ["x", "u + 2", "u + 49"], ["u", "a + 14", "a + 63"], ["a", "k + 4", "k + 67"], ["k", 19, "86"]], "target_var_name": "n", "target_value": 86, "value_dict": {"k": 19}, "is_reverse": true}} | 17,937 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = m + 19; m = h + 20; z = q + 1; h = x + 8; u = a + 14; x = u + 2; c = z + 3; t = k + 5; a = k + 4; w = t + 19; q = v + 2; k = 19; v = w + 14. Given that k = 19, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 20 to n, which gives n = h + 39.\n2. Substitute h = x + 8 to n, which gives n = x + 47.\n3. Substitute x = u + 2 to n, which gives n = u + 49.\n4. Substitute u = a + 14 to n, which gives n = a + 63.\n5. Substitute a = k + 4 to n, which gives n = k + 67.\n6. Substitute k = 19 to n, which gives n = 86.\n\nThus, the final answer is n = \\boxed{86}.",
"index": 17937,
"question": "Suppose a collection of variables is related by the following definitions: n = m + 19; m = h + 20; z = q + 1; h = x + 8; u = a + 14; x = u + 2; c = z + 3; t = k + 5; a = k + 4; w = t + 19; q = v + 2; k = 19; v = w + 14. Given that k = 19, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"j": "s + 18", "u": "j + 6", "g": "u + 15", "y": "g + 3", "r": "y + 9", "x": "r + 7", "k": "s + 15", "b": "k + 4", "l": "b + 10", "f": "l + 10", "q": "f + 10", "z": "q + 19", "s": 9}, "premises": {"s": 9}, "target": "x"}, "answer": {"steps": [["r", "y + 9", "y + 16"], ["y", "g + 3", "g + 19"], ["g", "u + 15", "u + 34"], ["u", "j + 6", "j + 40"], ["j", "s + 18", "s + 58"], ["s", 9, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"s": 9}, "is_reverse": true}} | 17,938 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = u + 15; s = 9; l = b + 10; k = s + 15; y = g + 3; q = f + 10; z = q + 19; u = j + 6; j = s + 18; f = l + 10; b = k + 4; x = r + 7; r = y + 9. If s = 9, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 9 to x, which gives x = y + 16.\n2. Substitute y = g + 3 to x, which gives x = g + 19.\n3. Substitute g = u + 15 to x, which gives x = u + 34.\n4. Substitute u = j + 6 to x, which gives x = j + 40.\n5. Substitute j = s + 18 to x, which gives x = s + 58.\n6. Substitute s = 9 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 17938,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = u + 15; s = 9; l = b + 10; k = s + 15; y = g + 3; q = f + 10; z = q + 19; u = j + 6; j = s + 18; f = l + 10; b = k + 4; x = r + 7; r = y + 9. If s = 9, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 6", "s": "n + 8", "y": "s + 17", "z": "y + 13", "b": "z + 2", "a": "b + 18", "c": "l + 15", "x": "c + 8", "m": "x + 3", "r": "m + 1", "e": "r + 2", "t": "e + 3", "l": 7}, "premises": {"l": 7}, "target": "a"}, "answer": {"steps": [["b", "z + 2", "z + 20"], ["z", "y + 13", "y + 33"], ["y", "s + 17", "s + 50"], ["s", "n + 8", "n + 58"], ["n", "l + 6", "l + 64"], ["l", 7, "71"]], "target_var_name": "a", "target_value": 71, "value_dict": {"l": 7}, "is_reverse": true}} | 17,939 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = m + 1; a = b + 18; y = s + 17; c = l + 15; x = c + 8; s = n + 8; l = 7; z = y + 13; t = e + 3; n = l + 6; e = r + 2; b = z + 2; m = x + 3. If l = 7, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 2 to a, which gives a = z + 20.\n2. Substitute z = y + 13 to a, which gives a = y + 33.\n3. Substitute y = s + 17 to a, which gives a = s + 50.\n4. Substitute s = n + 8 to a, which gives a = n + 58.\n5. Substitute n = l + 6 to a, which gives a = l + 64.\n6. Substitute l = 7 to a, which gives a = 71.\n\nThus, the final answer is a = \\boxed{71}.",
"index": 17939,
"question": "Consider a system of variables where each variable is defined as follows: r = m + 1; a = b + 18; y = s + 17; c = l + 15; x = c + 8; s = n + 8; l = 7; z = y + 13; t = e + 3; n = l + 6; e = r + 2; b = z + 2; m = x + 3. If l = 7, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 17", "l": "q + 1", "o": "l + 3", "k": "o + 5", "d": "k + 7", "a": "d + 13", "w": "j + 9", "s": "w + 4", "r": "s + 13", "f": "r + 19", "m": "f + 16", "e": "m + 9", "j": 1}, "premises": {"j": 1}, "target": "a"}, "answer": {"steps": [["d", "k + 7", "k + 20"], ["k", "o + 5", "o + 25"], ["o", "l + 3", "l + 28"], ["l", "q + 1", "q + 29"], ["q", "j + 17", "j + 46"], ["j", 1, "47"]], "target_var_name": "a", "target_value": 47, "value_dict": {"j": 1}, "is_reverse": true}} | 17,940 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = f + 16; j = 1; w = j + 9; k = o + 5; q = j + 17; d = k + 7; a = d + 13; r = s + 13; s = w + 4; o = l + 3; f = r + 19; e = m + 9; l = q + 1. Given that j = 1, find the 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 d = k + 7 to a, which gives a = k + 20.\n2. Substitute k = o + 5 to a, which gives a = o + 25.\n3. Substitute o = l + 3 to a, which gives a = l + 28.\n4. Substitute l = q + 1 to a, which gives a = q + 29.\n5. Substitute q = j + 17 to a, which gives a = j + 46.\n6. Substitute j = 1 to a, which gives a = 47.\n\nThus, the final answer is a = \\boxed{47}.",
"index": 17940,
"question": "Suppose a collection of variables is related by the following definitions: m = f + 16; j = 1; w = j + 9; k = o + 5; q = j + 17; d = k + 7; a = d + 13; r = s + 13; s = w + 4; o = l + 3; f = r + 19; e = m + 9; l = q + 1. Given that j = 1, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 7", "x": "g + 10", "u": "x + 19", "f": "u + 8", "o": "f + 7", "d": "o + 17", "j": "i + 18", "l": "j + 14", "n": "l + 9", "a": "n + 6", "y": "a + 18", "r": "y + 4", "i": 7}, "premises": {"i": 7}, "target": "d"}, "answer": {"steps": [["o", "f + 7", "f + 24"], ["f", "u + 8", "u + 32"], ["u", "x + 19", "x + 51"], ["x", "g + 10", "g + 61"], ["g", "i + 7", "i + 68"], ["i", 7, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"i": 7}, "is_reverse": true}} | 17,941 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = j + 14; x = g + 10; y = a + 18; a = n + 6; g = i + 7; o = f + 7; n = l + 9; i = 7; j = i + 18; u = x + 19; f = u + 8; r = y + 4; d = o + 17. If i = 7, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 7 to d, which gives d = f + 24.\n2. Substitute f = u + 8 to d, which gives d = u + 32.\n3. Substitute u = x + 19 to d, which gives d = x + 51.\n4. Substitute x = g + 10 to d, which gives d = g + 61.\n5. Substitute g = i + 7 to d, which gives d = i + 68.\n6. Substitute i = 7 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 17941,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = j + 14; x = g + 10; y = a + 18; a = n + 6; g = i + 7; o = f + 7; n = l + 9; i = 7; j = i + 18; u = x + 19; f = u + 8; r = y + 4; d = o + 17. If i = 7, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 6", "u": "p + 1", "j": "u + 1", "o": "j + 2", "x": "o + 9", "i": "x + 6", "t": "e + 10", "s": "t + 11", "v": "s + 10", "n": "v + 1", "d": "n + 19", "q": "d + 18", "e": 17}, "premises": {"e": 17}, "target": "i"}, "answer": {"steps": [["x", "o + 9", "o + 15"], ["o", "j + 2", "j + 17"], ["j", "u + 1", "u + 18"], ["u", "p + 1", "p + 19"], ["p", "e + 6", "e + 25"], ["e", 17, "42"]], "target_var_name": "i", "target_value": 42, "value_dict": {"e": 17}, "is_reverse": true}} | 17,942 | 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 = u + 1; x = o + 9; p = e + 6; u = p + 1; n = v + 1; e = 17; o = j + 2; d = n + 19; q = d + 18; s = t + 11; t = e + 10; v = s + 10; i = x + 6. If e = 17, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 9 to i, which gives i = o + 15.\n2. Substitute o = j + 2 to i, which gives i = j + 17.\n3. Substitute j = u + 1 to i, which gives i = u + 18.\n4. Substitute u = p + 1 to i, which gives i = p + 19.\n5. Substitute p = e + 6 to i, which gives i = e + 25.\n6. Substitute e = 17 to i, which gives i = 42.\n\nThus, the final answer is i = \\boxed{42}.",
"index": 17942,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = u + 1; x = o + 9; p = e + 6; u = p + 1; n = v + 1; e = 17; o = j + 2; d = n + 19; q = d + 18; s = t + 11; t = e + 10; v = s + 10; i = x + 6. If e = 17, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 14", "l": "n + 15", "b": "l + 9", "v": "b + 2", "r": "v + 8", "g": "r + 6", "i": "h + 3", "p": "i + 19", "s": "p + 12", "x": "s + 8", "k": "x + 12", "e": "k + 20", "h": 5}, "premises": {"h": 5}, "target": "g"}, "answer": {"steps": [["r", "v + 8", "v + 14"], ["v", "b + 2", "b + 16"], ["b", "l + 9", "l + 25"], ["l", "n + 15", "n + 40"], ["n", "h + 14", "h + 54"], ["h", 5, "59"]], "target_var_name": "g", "target_value": 59, "value_dict": {"h": 5}, "is_reverse": true}} | 17,943 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = i + 19; l = n + 15; v = b + 2; x = s + 8; g = r + 6; e = k + 20; h = 5; n = h + 14; b = l + 9; r = v + 8; k = x + 12; i = h + 3; s = p + 12. If h = 5, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 8 to g, which gives g = v + 14.\n2. Substitute v = b + 2 to g, which gives g = b + 16.\n3. Substitute b = l + 9 to g, which gives g = l + 25.\n4. Substitute l = n + 15 to g, which gives g = n + 40.\n5. Substitute n = h + 14 to g, which gives g = h + 54.\n6. Substitute h = 5 to g, which gives g = 59.\n\nThus, the final answer is g = \\boxed{59}.",
"index": 17943,
"question": "Consider a system of variables where each variable is defined as follows: p = i + 19; l = n + 15; v = b + 2; x = s + 8; g = r + 6; e = k + 20; h = 5; n = h + 14; b = l + 9; r = v + 8; k = x + 12; i = h + 3; s = p + 12. If h = 5, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 17", "r": "q + 10", "h": "r + 14", "i": "h + 20", "n": "i + 1", "f": "n + 5", "c": "y + 19", "z": "c + 12", "w": "z + 1", "u": "w + 4", "m": "u + 13", "v": "m + 7", "y": 2}, "premises": {"y": 2}, "target": "f"}, "answer": {"steps": [["n", "i + 1", "i + 6"], ["i", "h + 20", "h + 26"], ["h", "r + 14", "r + 40"], ["r", "q + 10", "q + 50"], ["q", "y + 17", "y + 67"], ["y", 2, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"y": 2}, "is_reverse": true}} | 17,944 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 12; h = r + 14; w = z + 1; y = 2; u = w + 4; v = m + 7; i = h + 20; c = y + 19; q = y + 17; f = n + 5; n = i + 1; r = q + 10; m = u + 13. If y = 2, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 1 to f, which gives f = i + 6.\n2. Substitute i = h + 20 to f, which gives f = h + 26.\n3. Substitute h = r + 14 to f, which gives f = r + 40.\n4. Substitute r = q + 10 to f, which gives f = q + 50.\n5. Substitute q = y + 17 to f, which gives f = y + 67.\n6. Substitute y = 2 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 17944,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 12; h = r + 14; w = z + 1; y = 2; u = w + 4; v = m + 7; i = h + 20; c = y + 19; q = y + 17; f = n + 5; n = i + 1; r = q + 10; m = u + 13. If y = 2, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 9", "x": "t + 6", "k": "x + 6", "o": "k + 10", "h": "o + 1", "i": "h + 8", "s": "g + 3", "e": "s + 17", "w": "e + 11", "y": "w + 4", "u": "y + 20", "b": "u + 17", "g": 14}, "premises": {"g": 14}, "target": "i"}, "answer": {"steps": [["h", "o + 1", "o + 9"], ["o", "k + 10", "k + 19"], ["k", "x + 6", "x + 25"], ["x", "t + 6", "t + 31"], ["t", "g + 9", "g + 40"], ["g", 14, "54"]], "target_var_name": "i", "target_value": 54, "value_dict": {"g": 14}, "is_reverse": true}} | 17,945 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = x + 6; u = y + 20; e = s + 17; h = o + 1; g = 14; y = w + 4; x = t + 6; b = u + 17; s = g + 3; o = k + 10; i = h + 8; t = g + 9; w = e + 11. If g = 14, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 1 to i, which gives i = o + 9.\n2. Substitute o = k + 10 to i, which gives i = k + 19.\n3. Substitute k = x + 6 to i, which gives i = x + 25.\n4. Substitute x = t + 6 to i, which gives i = t + 31.\n5. Substitute t = g + 9 to i, which gives i = g + 40.\n6. Substitute g = 14 to i, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 17945,
"question": "Consider a system of variables where each variable is defined as follows: k = x + 6; u = y + 20; e = s + 17; h = o + 1; g = 14; y = w + 4; x = t + 6; b = u + 17; s = g + 3; o = k + 10; i = h + 8; t = g + 9; w = e + 11. If g = 14, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 2", "c": "u + 6", "v": "c + 1", "w": "v + 5", "n": "w + 3", "x": "n + 7", "m": "d + 19", "t": "m + 7", "r": "t + 8", "k": "r + 4", "l": "k + 20", "a": "l + 15", "d": 4}, "premises": {"d": 4}, "target": "x"}, "answer": {"steps": [["n", "w + 3", "w + 10"], ["w", "v + 5", "v + 15"], ["v", "c + 1", "c + 16"], ["c", "u + 6", "u + 22"], ["u", "d + 2", "d + 24"], ["d", 4, "28"]], "target_var_name": "x", "target_value": 28, "value_dict": {"d": 4}, "is_reverse": true}} | 17,946 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = v + 5; l = k + 20; a = l + 15; n = w + 3; r = t + 8; x = n + 7; t = m + 7; c = u + 6; k = r + 4; d = 4; m = d + 19; u = d + 2; v = c + 1. Given that d = 4, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 28,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 3 to x, which gives x = w + 10.\n2. Substitute w = v + 5 to x, which gives x = v + 15.\n3. Substitute v = c + 1 to x, which gives x = c + 16.\n4. Substitute c = u + 6 to x, which gives x = u + 22.\n5. Substitute u = d + 2 to x, which gives x = d + 24.\n6. Substitute d = 4 to x, which gives x = 28.\n\nThus, the final answer is x = \\boxed{28}.",
"index": 17946,
"question": "Suppose a collection of variables is related by the following definitions: w = v + 5; l = k + 20; a = l + 15; n = w + 3; r = t + 8; x = n + 7; t = m + 7; c = u + 6; k = r + 4; d = 4; m = d + 19; u = d + 2; v = c + 1. Given that d = 4, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 3", "c": "n + 1", "i": "c + 6", "e": "i + 7", "z": "e + 2", "o": "z + 15", "h": "l + 9", "m": "h + 9", "t": "m + 10", "k": "t + 13", "d": "k + 2", "v": "d + 9", "l": 6}, "premises": {"l": 6}, "target": "o"}, "answer": {"steps": [["z", "e + 2", "e + 17"], ["e", "i + 7", "i + 24"], ["i", "c + 6", "c + 30"], ["c", "n + 1", "n + 31"], ["n", "l + 3", "l + 34"], ["l", 6, "40"]], "target_var_name": "o", "target_value": 40, "value_dict": {"l": 6}, "is_reverse": true}} | 17,947 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = l + 3; m = h + 9; z = e + 2; d = k + 2; h = l + 9; l = 6; i = c + 6; c = n + 1; v = d + 9; k = t + 13; e = i + 7; o = z + 15; t = m + 10. If l = 6, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 2 to o, which gives o = e + 17.\n2. Substitute e = i + 7 to o, which gives o = i + 24.\n3. Substitute i = c + 6 to o, which gives o = c + 30.\n4. Substitute c = n + 1 to o, which gives o = n + 31.\n5. Substitute n = l + 3 to o, which gives o = l + 34.\n6. Substitute l = 6 to o, which gives o = 40.\n\nThus, the final answer is o = \\boxed{40}.",
"index": 17947,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = l + 3; m = h + 9; z = e + 2; d = k + 2; h = l + 9; l = 6; i = c + 6; c = n + 1; v = d + 9; k = t + 13; e = i + 7; o = z + 15; t = m + 10. If l = 6, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 8", "m": "v + 3", "c": "m + 6", "o": "c + 14", "b": "o + 11", "h": "b + 12", "f": "e + 16", "l": "f + 18", "j": "l + 13", "k": "j + 11", "n": "k + 1", "u": "n + 9", "e": 8}, "premises": {"e": 8}, "target": "h"}, "answer": {"steps": [["b", "o + 11", "o + 23"], ["o", "c + 14", "c + 37"], ["c", "m + 6", "m + 43"], ["m", "v + 3", "v + 46"], ["v", "e + 8", "e + 54"], ["e", 8, "62"]], "target_var_name": "h", "target_value": 62, "value_dict": {"e": 8}, "is_reverse": true}} | 17,948 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 11; n = k + 1; h = b + 12; o = c + 14; b = o + 11; m = v + 3; l = f + 18; u = n + 9; c = m + 6; e = 8; j = l + 13; v = e + 8; f = e + 16. If e = 8, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 11 to h, which gives h = o + 23.\n2. Substitute o = c + 14 to h, which gives h = c + 37.\n3. Substitute c = m + 6 to h, which gives h = m + 43.\n4. Substitute m = v + 3 to h, which gives h = v + 46.\n5. Substitute v = e + 8 to h, which gives h = e + 54.\n6. Substitute e = 8 to h, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 17948,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 11; n = k + 1; h = b + 12; o = c + 14; b = o + 11; m = v + 3; l = f + 18; u = n + 9; c = m + 6; e = 8; j = l + 13; v = e + 8; f = e + 16. If e = 8, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 18", "o": "h + 15", "s": "o + 12", "v": "s + 15", "u": "v + 6", "t": "u + 20", "f": "e + 19", "g": "f + 1", "r": "g + 1", "c": "r + 15", "j": "c + 13", "n": "j + 5", "e": 7}, "premises": {"e": 7}, "target": "t"}, "answer": {"steps": [["u", "v + 6", "v + 26"], ["v", "s + 15", "s + 41"], ["s", "o + 12", "o + 53"], ["o", "h + 15", "h + 68"], ["h", "e + 18", "e + 86"], ["e", 7, "93"]], "target_var_name": "t", "target_value": 93, "value_dict": {"e": 7}, "is_reverse": true}} | 17,949 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = g + 1; c = r + 15; e = 7; v = s + 15; j = c + 13; n = j + 5; f = e + 19; u = v + 6; s = o + 12; g = f + 1; t = u + 20; o = h + 15; h = e + 18. If e = 7, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 6 to t, which gives t = v + 26.\n2. Substitute v = s + 15 to t, which gives t = s + 41.\n3. Substitute s = o + 12 to t, which gives t = o + 53.\n4. Substitute o = h + 15 to t, which gives t = h + 68.\n5. Substitute h = e + 18 to t, which gives t = e + 86.\n6. Substitute e = 7 to t, which gives t = 93.\n\nThus, the final answer is t = \\boxed{93}.",
"index": 17949,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = g + 1; c = r + 15; e = 7; v = s + 15; j = c + 13; n = j + 5; f = e + 19; u = v + 6; s = o + 12; g = f + 1; t = u + 20; o = h + 15; h = e + 18. If e = 7, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 10", "u": "y + 12", "c": "u + 4", "o": "c + 11", "e": "o + 13", "a": "e + 13", "g": "n + 1", "b": "g + 20", "s": "b + 11", "z": "s + 7", "i": "z + 18", "j": "i + 14", "n": 15}, "premises": {"n": 15}, "target": "a"}, "answer": {"steps": [["e", "o + 13", "o + 26"], ["o", "c + 11", "c + 37"], ["c", "u + 4", "u + 41"], ["u", "y + 12", "y + 53"], ["y", "n + 10", "n + 63"], ["n", 15, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"n": 15}, "is_reverse": true}} | 17,950 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 11; a = e + 13; e = o + 13; z = s + 7; n = 15; y = n + 10; u = y + 12; c = u + 4; i = z + 18; s = b + 11; b = g + 20; g = n + 1; j = i + 14. If n = 15, 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 e = o + 13 to a, which gives a = o + 26.\n2. Substitute o = c + 11 to a, which gives a = c + 37.\n3. Substitute c = u + 4 to a, which gives a = u + 41.\n4. Substitute u = y + 12 to a, which gives a = y + 53.\n5. Substitute y = n + 10 to a, which gives a = n + 63.\n6. Substitute n = 15 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 17950,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 11; a = e + 13; e = o + 13; z = s + 7; n = 15; y = n + 10; u = y + 12; c = u + 4; i = z + 18; s = b + 11; b = g + 20; g = n + 1; j = i + 14. If n = 15, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 4", "p": "m + 19", "j": "p + 14", "t": "j + 1", "s": "t + 1", "e": "s + 10", "v": "i + 20", "o": "v + 7", "k": "o + 4", "l": "k + 18", "x": "l + 6", "f": "x + 7", "i": 12}, "premises": {"i": 12}, "target": "e"}, "answer": {"steps": [["s", "t + 1", "t + 11"], ["t", "j + 1", "j + 12"], ["j", "p + 14", "p + 26"], ["p", "m + 19", "m + 45"], ["m", "i + 4", "i + 49"], ["i", 12, "61"]], "target_var_name": "e", "target_value": 61, "value_dict": {"i": 12}, "is_reverse": true}} | 17,951 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = i + 4; o = v + 7; p = m + 19; t = j + 1; x = l + 6; s = t + 1; k = o + 4; e = s + 10; f = x + 7; i = 12; l = k + 18; j = p + 14; v = i + 20. If i = 12, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 1 to e, which gives e = t + 11.\n2. Substitute t = j + 1 to e, which gives e = j + 12.\n3. Substitute j = p + 14 to e, which gives e = p + 26.\n4. Substitute p = m + 19 to e, which gives e = m + 45.\n5. Substitute m = i + 4 to e, which gives e = i + 49.\n6. Substitute i = 12 to e, which gives e = 61.\n\nThus, the final answer is e = \\boxed{61}.",
"index": 17951,
"question": "Consider a system of variables where each variable is defined as follows: m = i + 4; o = v + 7; p = m + 19; t = j + 1; x = l + 6; s = t + 1; k = o + 4; e = s + 10; f = x + 7; i = 12; l = k + 18; j = p + 14; v = i + 20. If i = 12, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"w": "f + 6", "o": "w + 1", "j": "o + 1", "q": "j + 2", "n": "q + 20", "k": "n + 11", "p": "f + 19", "z": "p + 16", "h": "z + 8", "y": "h + 10", "d": "y + 4", "e": "d + 20", "f": 2}, "premises": {"f": 2}, "target": "k"}, "answer": {"steps": [["n", "q + 20", "q + 31"], ["q", "j + 2", "j + 33"], ["j", "o + 1", "o + 34"], ["o", "w + 1", "w + 35"], ["w", "f + 6", "f + 41"], ["f", 2, "43"]], "target_var_name": "k", "target_value": 43, "value_dict": {"f": 2}, "is_reverse": true}} | 17,952 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = y + 4; p = f + 19; h = z + 8; o = w + 1; n = q + 20; z = p + 16; j = o + 1; e = d + 20; q = j + 2; w = f + 6; f = 2; k = n + 11; y = h + 10. If f = 2, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 20 to k, which gives k = q + 31.\n2. Substitute q = j + 2 to k, which gives k = j + 33.\n3. Substitute j = o + 1 to k, which gives k = o + 34.\n4. Substitute o = w + 1 to k, which gives k = w + 35.\n5. Substitute w = f + 6 to k, which gives k = f + 41.\n6. Substitute f = 2 to k, which gives k = 43.\n\nThus, the final answer is k = \\boxed{43}.",
"index": 17952,
"question": "Consider a system of variables where each variable is defined as follows: d = y + 4; p = f + 19; h = z + 8; o = w + 1; n = q + 20; z = p + 16; j = o + 1; e = d + 20; q = j + 2; w = f + 6; f = 2; k = n + 11; y = h + 10. If f = 2, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 20", "p": "s + 14", "h": "p + 19", "g": "h + 17", "q": "g + 3", "a": "q + 17", "t": "f + 2", "d": "t + 11", "j": "d + 1", "b": "j + 8", "o": "b + 8", "k": "o + 20", "f": 7}, "premises": {"f": 7}, "target": "a"}, "answer": {"steps": [["q", "g + 3", "g + 20"], ["g", "h + 17", "h + 37"], ["h", "p + 19", "p + 56"], ["p", "s + 14", "s + 70"], ["s", "f + 20", "f + 90"], ["f", 7, "97"]], "target_var_name": "a", "target_value": 97, "value_dict": {"f": 7}, "is_reverse": true}} | 17,953 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 20; j = d + 1; h = p + 19; f = 7; p = s + 14; a = q + 17; q = g + 3; b = j + 8; k = o + 20; o = b + 8; t = f + 2; g = h + 17; d = t + 11. If f = 7, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 3 to a, which gives a = g + 20.\n2. Substitute g = h + 17 to a, which gives a = h + 37.\n3. Substitute h = p + 19 to a, which gives a = p + 56.\n4. Substitute p = s + 14 to a, which gives a = s + 70.\n5. Substitute s = f + 20 to a, which gives a = f + 90.\n6. Substitute f = 7 to a, which gives a = 97.\n\nThus, the final answer is a = \\boxed{97}.",
"index": 17953,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 20; j = d + 1; h = p + 19; f = 7; p = s + 14; a = q + 17; q = g + 3; b = j + 8; k = o + 20; o = b + 8; t = f + 2; g = h + 17; d = t + 11. If f = 7, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 15", "j": "a + 15", "f": "j + 3", "m": "f + 4", "z": "m + 16", "r": "z + 3", "w": "g + 4", "h": "w + 16", "l": "h + 19", "s": "l + 19", "x": "s + 2", "e": "x + 7", "g": 7}, "premises": {"g": 7}, "target": "r"}, "answer": {"steps": [["z", "m + 16", "m + 19"], ["m", "f + 4", "f + 23"], ["f", "j + 3", "j + 26"], ["j", "a + 15", "a + 41"], ["a", "g + 15", "g + 56"], ["g", 7, "63"]], "target_var_name": "r", "target_value": 63, "value_dict": {"g": 7}, "is_reverse": true}} | 17,954 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 3; f = j + 3; w = g + 4; x = s + 2; z = m + 16; e = x + 7; h = w + 16; j = a + 15; l = h + 19; s = l + 19; g = 7; m = f + 4; a = g + 15. If g = 7, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 16 to r, which gives r = m + 19.\n2. Substitute m = f + 4 to r, which gives r = f + 23.\n3. Substitute f = j + 3 to r, which gives r = j + 26.\n4. Substitute j = a + 15 to r, which gives r = a + 41.\n5. Substitute a = g + 15 to r, which gives r = g + 56.\n6. Substitute g = 7 to r, which gives r = 63.\n\nThus, the final answer is r = \\boxed{63}.",
"index": 17954,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 3; f = j + 3; w = g + 4; x = s + 2; z = m + 16; e = x + 7; h = w + 16; j = a + 15; l = h + 19; s = l + 19; g = 7; m = f + 4; a = g + 15. If g = 7, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 11", "s": "b + 17", "i": "s + 15", "r": "i + 1", "x": "r + 16", "g": "x + 18", "u": "c + 12", "l": "u + 2", "q": "l + 12", "a": "q + 20", "p": "a + 13", "n": "p + 6", "c": 9}, "premises": {"c": 9}, "target": "g"}, "answer": {"steps": [["x", "r + 16", "r + 34"], ["r", "i + 1", "i + 35"], ["i", "s + 15", "s + 50"], ["s", "b + 17", "b + 67"], ["b", "c + 11", "c + 78"], ["c", 9, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"c": 9}, "is_reverse": true}} | 17,955 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = r + 16; b = c + 11; p = a + 13; a = q + 20; s = b + 17; u = c + 12; q = l + 12; i = s + 15; g = x + 18; r = i + 1; c = 9; l = u + 2; n = p + 6. If c = 9, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 16 to g, which gives g = r + 34.\n2. Substitute r = i + 1 to g, which gives g = i + 35.\n3. Substitute i = s + 15 to g, which gives g = s + 50.\n4. Substitute s = b + 17 to g, which gives g = b + 67.\n5. Substitute b = c + 11 to g, which gives g = c + 78.\n6. Substitute c = 9 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 17955,
"question": "Consider a system of variables where each variable is defined as follows: x = r + 16; b = c + 11; p = a + 13; a = q + 20; s = b + 17; u = c + 12; q = l + 12; i = s + 15; g = x + 18; r = i + 1; c = 9; l = u + 2; n = p + 6. If c = 9, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"a": "l + 7", "p": "a + 3", "h": "p + 16", "o": "h + 3", "u": "o + 10", "q": "u + 1", "z": "l + 3", "v": "z + 9", "n": "v + 2", "s": "n + 7", "c": "s + 1", "e": "c + 16", "l": 11}, "premises": {"l": 11}, "target": "q"}, "answer": {"steps": [["u", "o + 10", "o + 11"], ["o", "h + 3", "h + 14"], ["h", "p + 16", "p + 30"], ["p", "a + 3", "a + 33"], ["a", "l + 7", "l + 40"], ["l", 11, "51"]], "target_var_name": "q", "target_value": 51, "value_dict": {"l": 11}, "is_reverse": true}} | 17,956 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = p + 16; c = s + 1; v = z + 9; l = 11; p = a + 3; n = v + 2; q = u + 1; a = l + 7; u = o + 10; s = n + 7; z = l + 3; o = h + 3; e = c + 16. If l = 11, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 10 to q, which gives q = o + 11.\n2. Substitute o = h + 3 to q, which gives q = h + 14.\n3. Substitute h = p + 16 to q, which gives q = p + 30.\n4. Substitute p = a + 3 to q, which gives q = a + 33.\n5. Substitute a = l + 7 to q, which gives q = l + 40.\n6. Substitute l = 11 to q, which gives q = 51.\n\nThus, the final answer is q = \\boxed{51}.",
"index": 17956,
"question": "Consider a system of variables where each variable is defined as follows: h = p + 16; c = s + 1; v = z + 9; l = 11; p = a + 3; n = v + 2; q = u + 1; a = l + 7; u = o + 10; s = n + 7; z = l + 3; o = h + 3; e = c + 16. If l = 11, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"w": "r + 19", "z": "w + 1", "x": "z + 3", "p": "x + 5", "l": "p + 2", "t": "l + 18", "s": "r + 17", "v": "s + 2", "o": "v + 13", "f": "o + 15", "h": "f + 12", "i": "h + 5", "r": 5}, "premises": {"r": 5}, "target": "t"}, "answer": {"steps": [["l", "p + 2", "p + 20"], ["p", "x + 5", "x + 25"], ["x", "z + 3", "z + 28"], ["z", "w + 1", "w + 29"], ["w", "r + 19", "r + 48"], ["r", 5, "53"]], "target_var_name": "t", "target_value": 53, "value_dict": {"r": 5}, "is_reverse": true}} | 17,957 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = p + 2; h = f + 12; i = h + 5; r = 5; t = l + 18; s = r + 17; v = s + 2; x = z + 3; o = v + 13; w = r + 19; f = o + 15; p = x + 5; z = w + 1. If r = 5, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 2 to t, which gives t = p + 20.\n2. Substitute p = x + 5 to t, which gives t = x + 25.\n3. Substitute x = z + 3 to t, which gives t = z + 28.\n4. Substitute z = w + 1 to t, which gives t = w + 29.\n5. Substitute w = r + 19 to t, which gives t = r + 48.\n6. Substitute r = 5 to t, which gives t = 53.\n\nThus, the final answer is t = \\boxed{53}.",
"index": 17957,
"question": "Consider a system of variables where each variable is defined as follows: l = p + 2; h = f + 12; i = h + 5; r = 5; t = l + 18; s = r + 17; v = s + 2; x = z + 3; o = v + 13; w = r + 19; f = o + 15; p = x + 5; z = w + 1. If r = 5, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"b": "z + 4", "f": "b + 8", "l": "f + 20", "h": "l + 19", "j": "h + 19", "a": "j + 13", "s": "z + 7", "t": "s + 9", "u": "t + 13", "d": "u + 2", "e": "d + 5", "r": "e + 11", "z": 17}, "premises": {"z": 17}, "target": "a"}, "answer": {"steps": [["j", "h + 19", "h + 32"], ["h", "l + 19", "l + 51"], ["l", "f + 20", "f + 71"], ["f", "b + 8", "b + 79"], ["b", "z + 4", "z + 83"], ["z", 17, "100"]], "target_var_name": "a", "target_value": 100, "value_dict": {"z": 17}, "is_reverse": true}} | 17,958 | 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 = u + 2; e = d + 5; s = z + 7; b = z + 4; h = l + 19; a = j + 13; j = h + 19; z = 17; f = b + 8; u = t + 13; t = s + 9; r = e + 11; l = f + 20. If z = 17, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 19 to a, which gives a = h + 32.\n2. Substitute h = l + 19 to a, which gives a = l + 51.\n3. Substitute l = f + 20 to a, which gives a = f + 71.\n4. Substitute f = b + 8 to a, which gives a = b + 79.\n5. Substitute b = z + 4 to a, which gives a = z + 83.\n6. Substitute z = 17 to a, which gives a = 100.\n\nThus, the final answer is a = \\boxed{100}.",
"index": 17958,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = u + 2; e = d + 5; s = z + 7; b = z + 4; h = l + 19; a = j + 13; j = h + 19; z = 17; f = b + 8; u = t + 13; t = s + 9; r = e + 11; l = f + 20. If z = 17, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 7", "c": "i + 8", "f": "c + 20", "m": "f + 10", "h": "m + 12", "e": "h + 14", "u": "s + 1", "z": "u + 11", "a": "z + 7", "q": "a + 11", "d": "q + 10", "r": "d + 4", "s": 18}, "premises": {"s": 18}, "target": "e"}, "answer": {"steps": [["h", "m + 12", "m + 26"], ["m", "f + 10", "f + 36"], ["f", "c + 20", "c + 56"], ["c", "i + 8", "i + 64"], ["i", "s + 7", "s + 71"], ["s", 18, "89"]], "target_var_name": "e", "target_value": 89, "value_dict": {"s": 18}, "is_reverse": true}} | 17,959 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = z + 7; h = m + 12; d = q + 10; i = s + 7; r = d + 4; f = c + 20; z = u + 11; q = a + 11; e = h + 14; u = s + 1; c = i + 8; s = 18; m = f + 10. Given that s = 18, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 12 to e, which gives e = m + 26.\n2. Substitute m = f + 10 to e, which gives e = f + 36.\n3. Substitute f = c + 20 to e, which gives e = c + 56.\n4. Substitute c = i + 8 to e, which gives e = i + 64.\n5. Substitute i = s + 7 to e, which gives e = s + 71.\n6. Substitute s = 18 to e, which gives e = 89.\n\nThus, the final answer is e = \\boxed{89}.",
"index": 17959,
"question": "Suppose a collection of variables is related by the following definitions: a = z + 7; h = m + 12; d = q + 10; i = s + 7; r = d + 4; f = c + 20; z = u + 11; q = a + 11; e = h + 14; u = s + 1; c = i + 8; s = 18; m = f + 10. Given that s = 18, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 18", "p": "o + 12", "z": "p + 7", "v": "z + 14", "r": "v + 1", "u": "r + 17", "l": "i + 12", "c": "l + 7", "a": "c + 3", "s": "a + 14", "h": "s + 4", "j": "h + 12", "i": 8}, "premises": {"i": 8}, "target": "u"}, "answer": {"steps": [["r", "v + 1", "v + 18"], ["v", "z + 14", "z + 32"], ["z", "p + 7", "p + 39"], ["p", "o + 12", "o + 51"], ["o", "i + 18", "i + 69"], ["i", 8, "77"]], "target_var_name": "u", "target_value": 77, "value_dict": {"i": 8}, "is_reverse": true}} | 17,960 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 17; p = o + 12; r = v + 1; i = 8; c = l + 7; h = s + 4; o = i + 18; j = h + 12; v = z + 14; a = c + 3; z = p + 7; s = a + 14; l = i + 12. If i = 8, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 1 to u, which gives u = v + 18.\n2. Substitute v = z + 14 to u, which gives u = z + 32.\n3. Substitute z = p + 7 to u, which gives u = p + 39.\n4. Substitute p = o + 12 to u, which gives u = o + 51.\n5. Substitute o = i + 18 to u, which gives u = i + 69.\n6. Substitute i = 8 to u, which gives u = 77.\n\nThus, the final answer is u = \\boxed{77}.",
"index": 17960,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 17; p = o + 12; r = v + 1; i = 8; c = l + 7; h = s + 4; o = i + 18; j = h + 12; v = z + 14; a = c + 3; z = p + 7; s = a + 14; l = i + 12. If i = 8, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 18", "t": "m + 5", "l": "t + 14", "x": "l + 19", "n": "x + 1", "w": "n + 11", "y": "e + 5", "c": "y + 12", "g": "c + 20", "d": "g + 7", "a": "d + 12", "r": "a + 20", "e": 17}, "premises": {"e": 17}, "target": "w"}, "answer": {"steps": [["n", "x + 1", "x + 12"], ["x", "l + 19", "l + 31"], ["l", "t + 14", "t + 45"], ["t", "m + 5", "m + 50"], ["m", "e + 18", "e + 68"], ["e", 17, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"e": 17}, "is_reverse": true}} | 17,961 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = x + 1; w = n + 11; t = m + 5; c = y + 12; y = e + 5; g = c + 20; e = 17; d = g + 7; l = t + 14; a = d + 12; r = a + 20; x = l + 19; m = e + 18. Given that e = 17, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 1 to w, which gives w = x + 12.\n2. Substitute x = l + 19 to w, which gives w = l + 31.\n3. Substitute l = t + 14 to w, which gives w = t + 45.\n4. Substitute t = m + 5 to w, which gives w = m + 50.\n5. Substitute m = e + 18 to w, which gives w = e + 68.\n6. Substitute e = 17 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 17961,
"question": "Suppose a collection of variables is related by the following definitions: n = x + 1; w = n + 11; t = m + 5; c = y + 12; y = e + 5; g = c + 20; e = 17; d = g + 7; l = t + 14; a = d + 12; r = a + 20; x = l + 19; m = e + 18. Given that e = 17, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 14", "m": "v + 10", "k": "m + 1", "s": "k + 13", "i": "s + 15", "z": "i + 3", "x": "q + 4", "u": "x + 16", "l": "u + 7", "w": "l + 6", "c": "w + 3", "o": "c + 2", "q": 18}, "premises": {"q": 18}, "target": "z"}, "answer": {"steps": [["i", "s + 15", "s + 18"], ["s", "k + 13", "k + 31"], ["k", "m + 1", "m + 32"], ["m", "v + 10", "v + 42"], ["v", "q + 14", "q + 56"], ["q", 18, "74"]], "target_var_name": "z", "target_value": 74, "value_dict": {"q": 18}, "is_reverse": true}} | 17,962 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = u + 7; u = x + 16; x = q + 4; o = c + 2; v = q + 14; c = w + 3; k = m + 1; s = k + 13; w = l + 6; i = s + 15; q = 18; m = v + 10; z = i + 3. If q = 18, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 15 to z, which gives z = s + 18.\n2. Substitute s = k + 13 to z, which gives z = k + 31.\n3. Substitute k = m + 1 to z, which gives z = m + 32.\n4. Substitute m = v + 10 to z, which gives z = v + 42.\n5. Substitute v = q + 14 to z, which gives z = q + 56.\n6. Substitute q = 18 to z, which gives z = 74.\n\nThus, the final answer is z = \\boxed{74}.",
"index": 17962,
"question": "Consider a system of variables where each variable is defined as follows: l = u + 7; u = x + 16; x = q + 4; o = c + 2; v = q + 14; c = w + 3; k = m + 1; s = k + 13; w = l + 6; i = s + 15; q = 18; m = v + 10; z = i + 3. If q = 18, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 14", "a": "c + 7", "z": "a + 16", "s": "z + 19", "h": "s + 1", "b": "h + 2", "v": "r + 5", "x": "v + 3", "p": "x + 2", "w": "p + 3", "o": "w + 6", "i": "o + 8", "r": 12}, "premises": {"r": 12}, "target": "b"}, "answer": {"steps": [["h", "s + 1", "s + 3"], ["s", "z + 19", "z + 22"], ["z", "a + 16", "a + 38"], ["a", "c + 7", "c + 45"], ["c", "r + 14", "r + 59"], ["r", 12, "71"]], "target_var_name": "b", "target_value": 71, "value_dict": {"r": 12}, "is_reverse": true}} | 17,963 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 6; a = c + 7; r = 12; p = x + 2; v = r + 5; w = p + 3; h = s + 1; c = r + 14; s = z + 19; z = a + 16; i = o + 8; b = h + 2; x = v + 3. If r = 12, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 1 to b, which gives b = s + 3.\n2. Substitute s = z + 19 to b, which gives b = z + 22.\n3. Substitute z = a + 16 to b, which gives b = a + 38.\n4. Substitute a = c + 7 to b, which gives b = c + 45.\n5. Substitute c = r + 14 to b, which gives b = r + 59.\n6. Substitute r = 12 to b, which gives b = 71.\n\nThus, the final answer is b = \\boxed{71}.",
"index": 17963,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 6; a = c + 7; r = 12; p = x + 2; v = r + 5; w = p + 3; h = s + 1; c = r + 14; s = z + 19; z = a + 16; i = o + 8; b = h + 2; x = v + 3. If r = 12, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 20", "x": "s + 18", "z": "x + 3", "p": "z + 15", "j": "p + 17", "a": "j + 7", "e": "m + 14", "k": "e + 12", "u": "k + 10", "n": "u + 5", "l": "n + 14", "h": "l + 17", "m": 14}, "premises": {"m": 14}, "target": "a"}, "answer": {"steps": [["j", "p + 17", "p + 24"], ["p", "z + 15", "z + 39"], ["z", "x + 3", "x + 42"], ["x", "s + 18", "s + 60"], ["s", "m + 20", "m + 80"], ["m", 14, "94"]], "target_var_name": "a", "target_value": 94, "value_dict": {"m": 14}, "is_reverse": true}} | 17,964 | 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 = 14; s = m + 20; h = l + 17; z = x + 3; p = z + 15; e = m + 14; n = u + 5; l = n + 14; a = j + 7; u = k + 10; k = e + 12; x = s + 18; j = p + 17. If m = 14, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 17 to a, which gives a = p + 24.\n2. Substitute p = z + 15 to a, which gives a = z + 39.\n3. Substitute z = x + 3 to a, which gives a = x + 42.\n4. Substitute x = s + 18 to a, which gives a = s + 60.\n5. Substitute s = m + 20 to a, which gives a = m + 80.\n6. Substitute m = 14 to a, which gives a = 94.\n\nThus, the final answer is a = \\boxed{94}.",
"index": 17964,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = 14; s = m + 20; h = l + 17; z = x + 3; p = z + 15; e = m + 14; n = u + 5; l = n + 14; a = j + 7; u = k + 10; k = e + 12; x = s + 18; j = p + 17. If m = 14, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 19", "x": "e + 9", "s": "x + 8", "q": "s + 8", "u": "q + 13", "r": "u + 5", "o": "g + 8", "n": "o + 5", "z": "n + 5", "c": "z + 3", "l": "c + 15", "j": "l + 1", "g": 3}, "premises": {"g": 3}, "target": "r"}, "answer": {"steps": [["u", "q + 13", "q + 18"], ["q", "s + 8", "s + 26"], ["s", "x + 8", "x + 34"], ["x", "e + 9", "e + 43"], ["e", "g + 19", "g + 62"], ["g", 3, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"g": 3}, "is_reverse": true}} | 17,965 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 3; x = e + 9; e = g + 19; l = c + 15; j = l + 1; n = o + 5; r = u + 5; o = g + 8; s = x + 8; g = 3; u = q + 13; q = s + 8; z = n + 5. If g = 3, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 13 to r, which gives r = q + 18.\n2. Substitute q = s + 8 to r, which gives r = s + 26.\n3. Substitute s = x + 8 to r, which gives r = x + 34.\n4. Substitute x = e + 9 to r, which gives r = e + 43.\n5. Substitute e = g + 19 to r, which gives r = g + 62.\n6. Substitute g = 3 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 17965,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 3; x = e + 9; e = g + 19; l = c + 15; j = l + 1; n = o + 5; r = u + 5; o = g + 8; s = x + 8; g = 3; u = q + 13; q = s + 8; z = n + 5. If g = 3, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"y": "w + 6", "p": "y + 14", "c": "p + 9", "m": "c + 1", "b": "m + 9", "e": "b + 19", "v": "w + 5", "t": "v + 11", "r": "t + 16", "k": "r + 20", "q": "k + 17", "i": "q + 9", "w": 11}, "premises": {"w": 11}, "target": "e"}, "answer": {"steps": [["b", "m + 9", "m + 28"], ["m", "c + 1", "c + 29"], ["c", "p + 9", "p + 38"], ["p", "y + 14", "y + 52"], ["y", "w + 6", "w + 58"], ["w", 11, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"w": 11}, "is_reverse": true}} | 17,966 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = k + 17; w = 11; r = t + 16; c = p + 9; p = y + 14; y = w + 6; b = m + 9; e = b + 19; m = c + 1; t = v + 11; v = w + 5; i = q + 9; k = r + 20. If w = 11, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 9 to e, which gives e = m + 28.\n2. Substitute m = c + 1 to e, which gives e = c + 29.\n3. Substitute c = p + 9 to e, which gives e = p + 38.\n4. Substitute p = y + 14 to e, which gives e = y + 52.\n5. Substitute y = w + 6 to e, which gives e = w + 58.\n6. Substitute w = 11 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 17966,
"question": "Consider a system of variables where each variable is defined as follows: q = k + 17; w = 11; r = t + 16; c = p + 9; p = y + 14; y = w + 6; b = m + 9; e = b + 19; m = c + 1; t = v + 11; v = w + 5; i = q + 9; k = r + 20. If w = 11, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 15", "r": "k + 15", "d": "r + 12", "e": "d + 13", "p": "e + 16", "i": "p + 14", "z": "n + 18", "v": "z + 4", "x": "v + 10", "y": "x + 18", "h": "y + 13", "b": "h + 17", "n": 18}, "premises": {"n": 18}, "target": "i"}, "answer": {"steps": [["p", "e + 16", "e + 30"], ["e", "d + 13", "d + 43"], ["d", "r + 12", "r + 55"], ["r", "k + 15", "k + 70"], ["k", "n + 15", "n + 85"], ["n", 18, "103"]], "target_var_name": "i", "target_value": 103, "value_dict": {"n": 18}, "is_reverse": true}} | 17,967 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 18; z = n + 18; b = h + 17; e = d + 13; n = 18; p = e + 16; d = r + 12; r = k + 15; h = y + 13; i = p + 14; k = n + 15; v = z + 4; x = v + 10. If n = 18, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 16 to i, which gives i = e + 30.\n2. Substitute e = d + 13 to i, which gives i = d + 43.\n3. Substitute d = r + 12 to i, which gives i = r + 55.\n4. Substitute r = k + 15 to i, which gives i = k + 70.\n5. Substitute k = n + 15 to i, which gives i = n + 85.\n6. Substitute n = 18 to i, which gives i = 103.\n\nThus, the final answer is i = \\boxed{103}.",
"index": 17967,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 18; z = n + 18; b = h + 17; e = d + 13; n = 18; p = e + 16; d = r + 12; r = k + 15; h = y + 13; i = p + 14; k = n + 15; v = z + 4; x = v + 10. If n = 18, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 17", "p": "i + 15", "w": "p + 6", "v": "w + 15", "r": "v + 1", "f": "r + 2", "e": "z + 8", "l": "e + 20", "x": "l + 17", "j": "x + 11", "g": "j + 11", "d": "g + 8", "z": 7}, "premises": {"z": 7}, "target": "f"}, "answer": {"steps": [["r", "v + 1", "v + 3"], ["v", "w + 15", "w + 18"], ["w", "p + 6", "p + 24"], ["p", "i + 15", "i + 39"], ["i", "z + 17", "z + 56"], ["z", 7, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"z": 7}, "is_reverse": true}} | 17,968 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 11; w = p + 6; j = x + 11; v = w + 15; x = l + 17; z = 7; f = r + 2; i = z + 17; p = i + 15; d = g + 8; l = e + 20; e = z + 8; r = v + 1. Given that z = 7, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 1 to f, which gives f = v + 3.\n2. Substitute v = w + 15 to f, which gives f = w + 18.\n3. Substitute w = p + 6 to f, which gives f = p + 24.\n4. Substitute p = i + 15 to f, which gives f = i + 39.\n5. Substitute i = z + 17 to f, which gives f = z + 56.\n6. Substitute z = 7 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 17968,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 11; w = p + 6; j = x + 11; v = w + 15; x = l + 17; z = 7; f = r + 2; i = z + 17; p = i + 15; d = g + 8; l = e + 20; e = z + 8; r = v + 1. Given that z = 7, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 8", "y": "t + 5", "r": "y + 12", "d": "r + 5", "h": "d + 13", "p": "h + 10", "e": "k + 15", "u": "e + 19", "z": "u + 18", "b": "z + 5", "j": "b + 19", "x": "j + 8", "k": 11}, "premises": {"k": 11}, "target": "p"}, "answer": {"steps": [["h", "d + 13", "d + 23"], ["d", "r + 5", "r + 28"], ["r", "y + 12", "y + 40"], ["y", "t + 5", "t + 45"], ["t", "k + 8", "k + 53"], ["k", 11, "64"]], "target_var_name": "p", "target_value": 64, "value_dict": {"k": 11}, "is_reverse": true}} | 17,969 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = u + 18; t = k + 8; b = z + 5; h = d + 13; y = t + 5; e = k + 15; k = 11; d = r + 5; x = j + 8; p = h + 10; r = y + 12; j = b + 19; u = e + 19. Given that k = 11, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 13 to p, which gives p = d + 23.\n2. Substitute d = r + 5 to p, which gives p = r + 28.\n3. Substitute r = y + 12 to p, which gives p = y + 40.\n4. Substitute y = t + 5 to p, which gives p = t + 45.\n5. Substitute t = k + 8 to p, which gives p = k + 53.\n6. Substitute k = 11 to p, which gives p = 64.\n\nThus, the final answer is p = \\boxed{64}.",
"index": 17969,
"question": "Suppose a collection of variables is related by the following definitions: z = u + 18; t = k + 8; b = z + 5; h = d + 13; y = t + 5; e = k + 15; k = 11; d = r + 5; x = j + 8; p = h + 10; r = y + 12; j = b + 19; u = e + 19. Given that k = 11, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 19", "p": "b + 8", "o": "p + 9", "g": "o + 18", "u": "g + 4", "n": "u + 5", "f": "c + 6", "q": "f + 20", "l": "q + 11", "a": "l + 8", "m": "a + 17", "e": "m + 1", "c": 16}, "premises": {"c": 16}, "target": "n"}, "answer": {"steps": [["u", "g + 4", "g + 9"], ["g", "o + 18", "o + 27"], ["o", "p + 9", "p + 36"], ["p", "b + 8", "b + 44"], ["b", "c + 19", "c + 63"], ["c", 16, "79"]], "target_var_name": "n", "target_value": 79, "value_dict": {"c": 16}, "is_reverse": true}} | 17,970 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = u + 5; u = g + 4; m = a + 17; g = o + 18; e = m + 1; f = c + 6; l = q + 11; c = 16; b = c + 19; o = p + 9; q = f + 20; p = b + 8; a = l + 8. If c = 16, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 4 to n, which gives n = g + 9.\n2. Substitute g = o + 18 to n, which gives n = o + 27.\n3. Substitute o = p + 9 to n, which gives n = p + 36.\n4. Substitute p = b + 8 to n, which gives n = b + 44.\n5. Substitute b = c + 19 to n, which gives n = c + 63.\n6. Substitute c = 16 to n, which gives n = 79.\n\nThus, the final answer is n = \\boxed{79}.",
"index": 17970,
"question": "Consider a system of variables where each variable is defined as follows: n = u + 5; u = g + 4; m = a + 17; g = o + 18; e = m + 1; f = c + 6; l = q + 11; c = 16; b = c + 19; o = p + 9; q = f + 20; p = b + 8; a = l + 8. If c = 16, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"g": "k + 8", "x": "g + 20", "m": "x + 10", "e": "m + 12", "i": "e + 15", "a": "i + 6", "n": "k + 8", "f": "n + 15", "r": "f + 16", "y": "r + 4", "c": "y + 1", "b": "c + 2", "k": 5}, "premises": {"k": 5}, "target": "a"}, "answer": {"steps": [["i", "e + 15", "e + 21"], ["e", "m + 12", "m + 33"], ["m", "x + 10", "x + 43"], ["x", "g + 20", "g + 63"], ["g", "k + 8", "k + 71"], ["k", 5, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"k": 5}, "is_reverse": true}} | 17,971 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = c + 2; n = k + 8; y = r + 4; r = f + 16; i = e + 15; g = k + 8; a = i + 6; e = m + 12; k = 5; c = y + 1; f = n + 15; x = g + 20; m = x + 10. If k = 5, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 15 to a, which gives a = e + 21.\n2. Substitute e = m + 12 to a, which gives a = m + 33.\n3. Substitute m = x + 10 to a, which gives a = x + 43.\n4. Substitute x = g + 20 to a, which gives a = g + 63.\n5. Substitute g = k + 8 to a, which gives a = k + 71.\n6. Substitute k = 5 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 17971,
"question": "Consider a system of variables where each variable is defined as follows: b = c + 2; n = k + 8; y = r + 4; r = f + 16; i = e + 15; g = k + 8; a = i + 6; e = m + 12; k = 5; c = y + 1; f = n + 15; x = g + 20; m = x + 10. If k = 5, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"u": "l + 3", "c": "u + 20", "a": "c + 14", "k": "a + 18", "g": "k + 19", "h": "g + 13", "r": "l + 20", "y": "r + 2", "m": "y + 11", "x": "m + 4", "s": "x + 13", "i": "s + 3", "l": 18}, "premises": {"l": 18}, "target": "h"}, "answer": {"steps": [["g", "k + 19", "k + 32"], ["k", "a + 18", "a + 50"], ["a", "c + 14", "c + 64"], ["c", "u + 20", "u + 84"], ["u", "l + 3", "l + 87"], ["l", 18, "105"]], "target_var_name": "h", "target_value": 105, "value_dict": {"l": 18}, "is_reverse": true}} | 17,972 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = c + 14; l = 18; c = u + 20; r = l + 20; x = m + 4; k = a + 18; u = l + 3; g = k + 19; h = g + 13; m = y + 11; s = x + 13; i = s + 3; y = r + 2. If l = 18, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = k + 19 to h, which gives h = k + 32.\n2. Substitute k = a + 18 to h, which gives h = a + 50.\n3. Substitute a = c + 14 to h, which gives h = c + 64.\n4. Substitute c = u + 20 to h, which gives h = u + 84.\n5. Substitute u = l + 3 to h, which gives h = l + 87.\n6. Substitute l = 18 to h, which gives h = 105.\n\nThus, the final answer is h = \\boxed{105}.",
"index": 17972,
"question": "Consider a system of variables where each variable is defined as follows: a = c + 14; l = 18; c = u + 20; r = l + 20; x = m + 4; k = a + 18; u = l + 3; g = k + 19; h = g + 13; m = y + 11; s = x + 13; i = s + 3; y = r + 2. If l = 18, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"p": "n + 11", "m": "p + 2", "k": "m + 12", "s": "k + 2", "v": "s + 14", "a": "v + 5", "h": "n + 5", "x": "h + 16", "u": "x + 19", "b": "u + 12", "g": "b + 2", "z": "g + 9", "n": 17}, "premises": {"n": 17}, "target": "a"}, "answer": {"steps": [["v", "s + 14", "s + 19"], ["s", "k + 2", "k + 21"], ["k", "m + 12", "m + 33"], ["m", "p + 2", "p + 35"], ["p", "n + 11", "n + 46"], ["n", 17, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"n": 17}, "is_reverse": true}} | 17,973 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = u + 12; m = p + 2; x = h + 16; n = 17; u = x + 19; s = k + 2; p = n + 11; h = n + 5; a = v + 5; g = b + 2; k = m + 12; v = s + 14; z = g + 9. If n = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 14 to a, which gives a = s + 19.\n2. Substitute s = k + 2 to a, which gives a = k + 21.\n3. Substitute k = m + 12 to a, which gives a = m + 33.\n4. Substitute m = p + 2 to a, which gives a = p + 35.\n5. Substitute p = n + 11 to a, which gives a = n + 46.\n6. Substitute n = 17 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 17973,
"question": "Consider a system of variables where each variable is defined as follows: b = u + 12; m = p + 2; x = h + 16; n = 17; u = x + 19; s = k + 2; p = n + 11; h = n + 5; a = v + 5; g = b + 2; k = m + 12; v = s + 14; z = g + 9. If n = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 9", "e": "z + 17", "j": "e + 19", "s": "j + 1", "g": "s + 17", "k": "g + 3", "l": "t + 13", "c": "l + 1", "w": "c + 11", "u": "w + 12", "q": "u + 18", "o": "q + 2", "t": 17}, "premises": {"t": 17}, "target": "k"}, "answer": {"steps": [["g", "s + 17", "s + 20"], ["s", "j + 1", "j + 21"], ["j", "e + 19", "e + 40"], ["e", "z + 17", "z + 57"], ["z", "t + 9", "t + 66"], ["t", 17, "83"]], "target_var_name": "k", "target_value": 83, "value_dict": {"t": 17}, "is_reverse": true}} | 17,974 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = t + 13; e = z + 17; j = e + 19; u = w + 12; w = c + 11; o = q + 2; q = u + 18; g = s + 17; s = j + 1; t = 17; z = t + 9; k = g + 3; c = l + 1. If t = 17, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 17 to k, which gives k = s + 20.\n2. Substitute s = j + 1 to k, which gives k = j + 21.\n3. Substitute j = e + 19 to k, which gives k = e + 40.\n4. Substitute e = z + 17 to k, which gives k = z + 57.\n5. Substitute z = t + 9 to k, which gives k = t + 66.\n6. Substitute t = 17 to k, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 17974,
"question": "Consider a system of variables where each variable is defined as follows: l = t + 13; e = z + 17; j = e + 19; u = w + 12; w = c + 11; o = q + 2; q = u + 18; g = s + 17; s = j + 1; t = 17; z = t + 9; k = g + 3; c = l + 1. If t = 17, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 1", "a": "k + 4", "t": "a + 14", "z": "t + 16", "j": "z + 18", "v": "j + 18", "w": "e + 3", "b": "w + 16", "i": "b + 18", "u": "i + 16", "r": "u + 5", "q": "r + 12", "e": 19}, "premises": {"e": 19}, "target": "v"}, "answer": {"steps": [["j", "z + 18", "z + 36"], ["z", "t + 16", "t + 52"], ["t", "a + 14", "a + 66"], ["a", "k + 4", "k + 70"], ["k", "e + 1", "e + 71"], ["e", 19, "90"]], "target_var_name": "v", "target_value": 90, "value_dict": {"e": 19}, "is_reverse": true}} | 17,975 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = k + 4; b = w + 16; z = t + 16; r = u + 5; q = r + 12; i = b + 18; t = a + 14; w = e + 3; v = j + 18; k = e + 1; u = i + 16; e = 19; j = z + 18. If e = 19, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 18 to v, which gives v = z + 36.\n2. Substitute z = t + 16 to v, which gives v = t + 52.\n3. Substitute t = a + 14 to v, which gives v = a + 66.\n4. Substitute a = k + 4 to v, which gives v = k + 70.\n5. Substitute k = e + 1 to v, which gives v = e + 71.\n6. Substitute e = 19 to v, which gives v = 90.\n\nThus, the final answer is v = \\boxed{90}.",
"index": 17975,
"question": "Consider a system of variables where each variable is defined as follows: a = k + 4; b = w + 16; z = t + 16; r = u + 5; q = r + 12; i = b + 18; t = a + 14; w = e + 3; v = j + 18; k = e + 1; u = i + 16; e = 19; j = z + 18. If e = 19, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 7", "k": "z + 7", "i": "k + 8", "l": "i + 2", "h": "l + 16", "n": "h + 9", "q": "s + 1", "y": "q + 11", "f": "y + 11", "o": "f + 1", "c": "o + 6", "m": "c + 5", "s": 6}, "premises": {"s": 6}, "target": "n"}, "answer": {"steps": [["h", "l + 16", "l + 25"], ["l", "i + 2", "i + 27"], ["i", "k + 8", "k + 35"], ["k", "z + 7", "z + 42"], ["z", "s + 7", "s + 49"], ["s", 6, "55"]], "target_var_name": "n", "target_value": 55, "value_dict": {"s": 6}, "is_reverse": true}} | 17,976 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 8; y = q + 11; q = s + 1; o = f + 1; f = y + 11; l = i + 2; c = o + 6; s = 6; n = h + 9; k = z + 7; m = c + 5; z = s + 7; h = l + 16. If s = 6, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 16 to n, which gives n = l + 25.\n2. Substitute l = i + 2 to n, which gives n = i + 27.\n3. Substitute i = k + 8 to n, which gives n = k + 35.\n4. Substitute k = z + 7 to n, which gives n = z + 42.\n5. Substitute z = s + 7 to n, which gives n = s + 49.\n6. Substitute s = 6 to n, which gives n = 55.\n\nThus, the final answer is n = \\boxed{55}.",
"index": 17976,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 8; y = q + 11; q = s + 1; o = f + 1; f = y + 11; l = i + 2; c = o + 6; s = 6; n = h + 9; k = z + 7; m = c + 5; z = s + 7; h = l + 16. If s = 6, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"m": "o + 10", "h": "m + 9", "i": "h + 10", "j": "i + 19", "n": "j + 5", "y": "n + 18", "f": "o + 2", "u": "f + 9", "k": "u + 6", "t": "k + 7", "d": "t + 9", "s": "d + 18", "o": 14}, "premises": {"o": 14}, "target": "y"}, "answer": {"steps": [["n", "j + 5", "j + 23"], ["j", "i + 19", "i + 42"], ["i", "h + 10", "h + 52"], ["h", "m + 9", "m + 61"], ["m", "o + 10", "o + 71"], ["o", 14, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"o": 14}, "is_reverse": true}} | 17,977 | 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 = t + 9; u = f + 9; f = o + 2; m = o + 10; i = h + 10; t = k + 7; h = m + 9; n = j + 5; y = n + 18; o = 14; s = d + 18; j = i + 19; k = u + 6. If o = 14, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 5 to y, which gives y = j + 23.\n2. Substitute j = i + 19 to y, which gives y = i + 42.\n3. Substitute i = h + 10 to y, which gives y = h + 52.\n4. Substitute h = m + 9 to y, which gives y = m + 61.\n5. Substitute m = o + 10 to y, which gives y = o + 71.\n6. Substitute o = 14 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 17977,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 9; u = f + 9; f = o + 2; m = o + 10; i = h + 10; t = k + 7; h = m + 9; n = j + 5; y = n + 18; o = 14; s = d + 18; j = i + 19; k = u + 6. If o = 14, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 6", "q": "w + 5", "f": "q + 16", "a": "f + 7", "h": "a + 8", "b": "h + 7", "e": "i + 14", "v": "e + 10", "o": "v + 15", "j": "o + 12", "k": "j + 7", "y": "k + 3", "i": 6}, "premises": {"i": 6}, "target": "b"}, "answer": {"steps": [["h", "a + 8", "a + 15"], ["a", "f + 7", "f + 22"], ["f", "q + 16", "q + 38"], ["q", "w + 5", "w + 43"], ["w", "i + 6", "i + 49"], ["i", 6, "55"]], "target_var_name": "b", "target_value": 55, "value_dict": {"i": 6}, "is_reverse": true}} | 17,978 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = k + 3; q = w + 5; v = e + 10; b = h + 7; k = j + 7; f = q + 16; e = i + 14; i = 6; w = i + 6; j = o + 12; o = v + 15; h = a + 8; a = f + 7. Given that i = 6, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 8 to b, which gives b = a + 15.\n2. Substitute a = f + 7 to b, which gives b = f + 22.\n3. Substitute f = q + 16 to b, which gives b = q + 38.\n4. Substitute q = w + 5 to b, which gives b = w + 43.\n5. Substitute w = i + 6 to b, which gives b = i + 49.\n6. Substitute i = 6 to b, which gives b = 55.\n\nThus, the final answer is b = \\boxed{55}.",
"index": 17978,
"question": "Suppose a collection of variables is related by the following definitions: y = k + 3; q = w + 5; v = e + 10; b = h + 7; k = j + 7; f = q + 16; e = i + 14; i = 6; w = i + 6; j = o + 12; o = v + 15; h = a + 8; a = f + 7. Given that i = 6, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"a": "c + 11", "i": "a + 15", "p": "i + 10", "o": "p + 3", "l": "o + 6", "t": "l + 5", "v": "c + 17", "f": "v + 2", "g": "f + 19", "b": "g + 15", "x": "b + 1", "h": "x + 7", "c": 2}, "premises": {"c": 2}, "target": "t"}, "answer": {"steps": [["l", "o + 6", "o + 11"], ["o", "p + 3", "p + 14"], ["p", "i + 10", "i + 24"], ["i", "a + 15", "a + 39"], ["a", "c + 11", "c + 50"], ["c", 2, "52"]], "target_var_name": "t", "target_value": 52, "value_dict": {"c": 2}, "is_reverse": true}} | 17,979 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = a + 15; p = i + 10; a = c + 11; c = 2; b = g + 15; o = p + 3; t = l + 5; g = f + 19; v = c + 17; l = o + 6; f = v + 2; x = b + 1; h = x + 7. Given that c = 2, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 6 to t, which gives t = o + 11.\n2. Substitute o = p + 3 to t, which gives t = p + 14.\n3. Substitute p = i + 10 to t, which gives t = i + 24.\n4. Substitute i = a + 15 to t, which gives t = a + 39.\n5. Substitute a = c + 11 to t, which gives t = c + 50.\n6. Substitute c = 2 to t, which gives t = 52.\n\nThus, the final answer is t = \\boxed{52}.",
"index": 17979,
"question": "Suppose a collection of variables is related by the following definitions: i = a + 15; p = i + 10; a = c + 11; c = 2; b = g + 15; o = p + 3; t = l + 5; g = f + 19; v = c + 17; l = o + 6; f = v + 2; x = b + 1; h = x + 7. Given that c = 2, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"l": "c + 12", "k": "l + 15", "a": "k + 10", "v": "a + 1", "z": "v + 12", "j": "z + 8", "y": "c + 20", "b": "y + 19", "w": "b + 4", "f": "w + 5", "m": "f + 16", "s": "m + 4", "c": 11}, "premises": {"c": 11}, "target": "j"}, "answer": {"steps": [["z", "v + 12", "v + 20"], ["v", "a + 1", "a + 21"], ["a", "k + 10", "k + 31"], ["k", "l + 15", "l + 46"], ["l", "c + 12", "c + 58"], ["c", 11, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"c": 11}, "is_reverse": true}} | 17,980 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = c + 20; k = l + 15; v = a + 1; z = v + 12; l = c + 12; s = m + 4; f = w + 5; j = z + 8; m = f + 16; w = b + 4; c = 11; b = y + 19; a = k + 10. If c = 11, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 12 to j, which gives j = v + 20.\n2. Substitute v = a + 1 to j, which gives j = a + 21.\n3. Substitute a = k + 10 to j, which gives j = k + 31.\n4. Substitute k = l + 15 to j, which gives j = l + 46.\n5. Substitute l = c + 12 to j, which gives j = c + 58.\n6. Substitute c = 11 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 17980,
"question": "Consider a system of variables where each variable is defined as follows: y = c + 20; k = l + 15; v = a + 1; z = v + 12; l = c + 12; s = m + 4; f = w + 5; j = z + 8; m = f + 16; w = b + 4; c = 11; b = y + 19; a = k + 10. If c = 11, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 2", "j": "e + 11", "k": "j + 18", "f": "k + 15", "g": "f + 15", "t": "g + 3", "h": "b + 15", "y": "h + 5", "d": "y + 2", "p": "d + 8", "a": "p + 19", "o": "a + 15", "b": 6}, "premises": {"b": 6}, "target": "t"}, "answer": {"steps": [["g", "f + 15", "f + 18"], ["f", "k + 15", "k + 33"], ["k", "j + 18", "j + 51"], ["j", "e + 11", "e + 62"], ["e", "b + 2", "b + 64"], ["b", 6, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"b": 6}, "is_reverse": true}} | 17,981 | 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 + 11; d = y + 2; a = p + 19; e = b + 2; b = 6; t = g + 3; h = b + 15; o = a + 15; p = d + 8; y = h + 5; f = k + 15; g = f + 15; k = j + 18. If b = 6, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 15 to t, which gives t = f + 18.\n2. Substitute f = k + 15 to t, which gives t = k + 33.\n3. Substitute k = j + 18 to t, which gives t = j + 51.\n4. Substitute j = e + 11 to t, which gives t = e + 62.\n5. Substitute e = b + 2 to t, which gives t = b + 64.\n6. Substitute b = 6 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 17981,
"question": "Consider a system of variables where each variable is defined as follows: j = e + 11; d = y + 2; a = p + 19; e = b + 2; b = 6; t = g + 3; h = b + 15; o = a + 15; p = d + 8; y = h + 5; f = k + 15; g = f + 15; k = j + 18. If b = 6, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 12", "e": "p + 12", "c": "e + 2", "b": "c + 11", "y": "b + 15", "n": "y + 18", "z": "a + 1", "i": "z + 9", "x": "i + 7", "f": "x + 14", "h": "f + 5", "u": "h + 3", "a": 15}, "premises": {"a": 15}, "target": "n"}, "answer": {"steps": [["y", "b + 15", "b + 33"], ["b", "c + 11", "c + 44"], ["c", "e + 2", "e + 46"], ["e", "p + 12", "p + 58"], ["p", "a + 12", "a + 70"], ["a", 15, "85"]], "target_var_name": "n", "target_value": 85, "value_dict": {"a": 15}, "is_reverse": true}} | 17,982 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = z + 9; n = y + 18; e = p + 12; h = f + 5; u = h + 3; z = a + 1; x = i + 7; y = b + 15; b = c + 11; f = x + 14; p = a + 12; c = e + 2; a = 15. If a = 15, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 15 to n, which gives n = b + 33.\n2. Substitute b = c + 11 to n, which gives n = c + 44.\n3. Substitute c = e + 2 to n, which gives n = e + 46.\n4. Substitute e = p + 12 to n, which gives n = p + 58.\n5. Substitute p = a + 12 to n, which gives n = a + 70.\n6. Substitute a = 15 to n, which gives n = 85.\n\nThus, the final answer is n = \\boxed{85}.",
"index": 17982,
"question": "Consider a system of variables where each variable is defined as follows: i = z + 9; n = y + 18; e = p + 12; h = f + 5; u = h + 3; z = a + 1; x = i + 7; y = b + 15; b = c + 11; f = x + 14; p = a + 12; c = e + 2; a = 15. If a = 15, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 19", "p": "e + 16", "f": "p + 4", "m": "f + 6", "i": "m + 7", "s": "i + 6", "c": "n + 5", "y": "c + 12", "r": "y + 5", "d": "r + 9", "t": "d + 19", "l": "t + 5", "n": 13}, "premises": {"n": 13}, "target": "s"}, "answer": {"steps": [["i", "m + 7", "m + 13"], ["m", "f + 6", "f + 19"], ["f", "p + 4", "p + 23"], ["p", "e + 16", "e + 39"], ["e", "n + 19", "n + 58"], ["n", 13, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"n": 13}, "is_reverse": true}} | 17,983 | 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 = 13; r = y + 5; d = r + 9; c = n + 5; y = c + 12; p = e + 16; e = n + 19; l = t + 5; f = p + 4; t = d + 19; m = f + 6; s = i + 6; i = m + 7. If n = 13, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 7 to s, which gives s = m + 13.\n2. Substitute m = f + 6 to s, which gives s = f + 19.\n3. Substitute f = p + 4 to s, which gives s = p + 23.\n4. Substitute p = e + 16 to s, which gives s = e + 39.\n5. Substitute e = n + 19 to s, which gives s = n + 58.\n6. Substitute n = 13 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 17983,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = 13; r = y + 5; d = r + 9; c = n + 5; y = c + 12; p = e + 16; e = n + 19; l = t + 5; f = p + 4; t = d + 19; m = f + 6; s = i + 6; i = m + 7. If n = 13, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 3", "x": "c + 5", "p": "x + 17", "d": "p + 19", "k": "d + 4", "a": "k + 5", "j": "f + 10", "o": "j + 20", "b": "o + 1", "r": "b + 2", "y": "r + 19", "i": "y + 4", "f": 8}, "premises": {"f": 8}, "target": "a"}, "answer": {"steps": [["k", "d + 4", "d + 9"], ["d", "p + 19", "p + 28"], ["p", "x + 17", "x + 45"], ["x", "c + 5", "c + 50"], ["c", "f + 3", "f + 53"], ["f", 8, "61"]], "target_var_name": "a", "target_value": 61, "value_dict": {"f": 8}, "is_reverse": true}} | 17,984 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = r + 19; b = o + 1; i = y + 4; r = b + 2; p = x + 17; j = f + 10; f = 8; k = d + 4; c = f + 3; a = k + 5; o = j + 20; d = p + 19; x = c + 5. If f = 8, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 4 to a, which gives a = d + 9.\n2. Substitute d = p + 19 to a, which gives a = p + 28.\n3. Substitute p = x + 17 to a, which gives a = x + 45.\n4. Substitute x = c + 5 to a, which gives a = c + 50.\n5. Substitute c = f + 3 to a, which gives a = f + 53.\n6. Substitute f = 8 to a, which gives a = 61.\n\nThus, the final answer is a = \\boxed{61}.",
"index": 17984,
"question": "Consider a system of variables where each variable is defined as follows: y = r + 19; b = o + 1; i = y + 4; r = b + 2; p = x + 17; j = f + 10; f = 8; k = d + 4; c = f + 3; a = k + 5; o = j + 20; d = p + 19; x = c + 5. If f = 8, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 18", "k": "j + 18", "t": "k + 10", "b": "t + 17", "z": "b + 6", "a": "z + 15", "q": "o + 8", "c": "q + 9", "e": "c + 12", "u": "e + 14", "p": "u + 18", "r": "p + 10", "o": 7}, "premises": {"o": 7}, "target": "a"}, "answer": {"steps": [["z", "b + 6", "b + 21"], ["b", "t + 17", "t + 38"], ["t", "k + 10", "k + 48"], ["k", "j + 18", "j + 66"], ["j", "o + 18", "o + 84"], ["o", 7, "91"]], "target_var_name": "a", "target_value": 91, "value_dict": {"o": 7}, "is_reverse": true}} | 17,985 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 6; u = e + 14; t = k + 10; c = q + 9; j = o + 18; r = p + 10; o = 7; a = z + 15; q = o + 8; e = c + 12; p = u + 18; b = t + 17; k = j + 18. Given that o = 7, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 6 to a, which gives a = b + 21.\n2. Substitute b = t + 17 to a, which gives a = t + 38.\n3. Substitute t = k + 10 to a, which gives a = k + 48.\n4. Substitute k = j + 18 to a, which gives a = j + 66.\n5. Substitute j = o + 18 to a, which gives a = o + 84.\n6. Substitute o = 7 to a, which gives a = 91.\n\nThus, the final answer is a = \\boxed{91}.",
"index": 17985,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 6; u = e + 14; t = k + 10; c = q + 9; j = o + 18; r = p + 10; o = 7; a = z + 15; q = o + 8; e = c + 12; p = u + 18; b = t + 17; k = j + 18. Given that o = 7, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 20", "t": "o + 18", "n": "t + 15", "c": "n + 4", "j": "c + 20", "l": "j + 16", "s": "b + 5", "g": "s + 14", "f": "g + 18", "i": "f + 7", "d": "i + 10", "h": "d + 9", "b": 8}, "premises": {"b": 8}, "target": "l"}, "answer": {"steps": [["j", "c + 20", "c + 36"], ["c", "n + 4", "n + 40"], ["n", "t + 15", "t + 55"], ["t", "o + 18", "o + 73"], ["o", "b + 20", "b + 93"], ["b", 8, "101"]], "target_var_name": "l", "target_value": 101, "value_dict": {"b": 8}, "is_reverse": true}} | 17,986 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = f + 7; c = n + 4; b = 8; l = j + 16; t = o + 18; j = c + 20; n = t + 15; g = s + 14; f = g + 18; s = b + 5; d = i + 10; o = b + 20; h = d + 9. Given that b = 8, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 20 to l, which gives l = c + 36.\n2. Substitute c = n + 4 to l, which gives l = n + 40.\n3. Substitute n = t + 15 to l, which gives l = t + 55.\n4. Substitute t = o + 18 to l, which gives l = o + 73.\n5. Substitute o = b + 20 to l, which gives l = b + 93.\n6. Substitute b = 8 to l, which gives l = 101.\n\nThus, the final answer is l = \\boxed{101}.",
"index": 17986,
"question": "Suppose a collection of variables is related by the following definitions: i = f + 7; c = n + 4; b = 8; l = j + 16; t = o + 18; j = c + 20; n = t + 15; g = s + 14; f = g + 18; s = b + 5; d = i + 10; o = b + 20; h = d + 9. Given that b = 8, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 8", "i": "b + 3", "s": "i + 6", "m": "s + 16", "e": "m + 3", "r": "e + 8", "w": "j + 13", "d": "w + 3", "x": "d + 11", "n": "x + 16", "a": "n + 6", "o": "a + 16", "j": 9}, "premises": {"j": 9}, "target": "r"}, "answer": {"steps": [["e", "m + 3", "m + 11"], ["m", "s + 16", "s + 27"], ["s", "i + 6", "i + 33"], ["i", "b + 3", "b + 36"], ["b", "j + 8", "j + 44"], ["j", 9, "53"]], "target_var_name": "r", "target_value": 53, "value_dict": {"j": 9}, "is_reverse": true}} | 17,987 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = e + 8; b = j + 8; a = n + 6; w = j + 13; x = d + 11; n = x + 16; j = 9; d = w + 3; e = m + 3; o = a + 16; i = b + 3; s = i + 6; m = s + 16. If j = 9, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 3 to r, which gives r = m + 11.\n2. Substitute m = s + 16 to r, which gives r = s + 27.\n3. Substitute s = i + 6 to r, which gives r = i + 33.\n4. Substitute i = b + 3 to r, which gives r = b + 36.\n5. Substitute b = j + 8 to r, which gives r = j + 44.\n6. Substitute j = 9 to r, which gives r = 53.\n\nThus, the final answer is r = \\boxed{53}.",
"index": 17987,
"question": "Consider a system of variables where each variable is defined as follows: r = e + 8; b = j + 8; a = n + 6; w = j + 13; x = d + 11; n = x + 16; j = 9; d = w + 3; e = m + 3; o = a + 16; i = b + 3; s = i + 6; m = s + 16. If j = 9, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"v": "a + 16", "n": "v + 17", "t": "n + 16", "l": "t + 1", "z": "l + 7", "i": "z + 19", "p": "a + 11", "f": "p + 3", "b": "f + 6", "d": "b + 14", "c": "d + 16", "r": "c + 7", "a": 2}, "premises": {"a": 2}, "target": "i"}, "answer": {"steps": [["z", "l + 7", "l + 26"], ["l", "t + 1", "t + 27"], ["t", "n + 16", "n + 43"], ["n", "v + 17", "v + 60"], ["v", "a + 16", "a + 76"], ["a", 2, "78"]], "target_var_name": "i", "target_value": 78, "value_dict": {"a": 2}, "is_reverse": true}} | 17,988 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = l + 7; n = v + 17; i = z + 19; l = t + 1; a = 2; d = b + 14; p = a + 11; b = f + 6; t = n + 16; r = c + 7; v = a + 16; f = p + 3; c = d + 16. If a = 2, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 7 to i, which gives i = l + 26.\n2. Substitute l = t + 1 to i, which gives i = t + 27.\n3. Substitute t = n + 16 to i, which gives i = n + 43.\n4. Substitute n = v + 17 to i, which gives i = v + 60.\n5. Substitute v = a + 16 to i, which gives i = a + 76.\n6. Substitute a = 2 to i, which gives i = 78.\n\nThus, the final answer is i = \\boxed{78}.",
"index": 17988,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = l + 7; n = v + 17; i = z + 19; l = t + 1; a = 2; d = b + 14; p = a + 11; b = f + 6; t = n + 16; r = c + 7; v = a + 16; f = p + 3; c = d + 16. If a = 2, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 14", "z": "n + 17", "c": "z + 2", "l": "c + 14", "w": "l + 16", "o": "w + 1", "u": "e + 17", "y": "u + 11", "h": "y + 5", "d": "h + 4", "q": "d + 20", "v": "q + 18", "e": 8}, "premises": {"e": 8}, "target": "o"}, "answer": {"steps": [["w", "l + 16", "l + 17"], ["l", "c + 14", "c + 31"], ["c", "z + 2", "z + 33"], ["z", "n + 17", "n + 50"], ["n", "e + 14", "e + 64"], ["e", 8, "72"]], "target_var_name": "o", "target_value": 72, "value_dict": {"e": 8}, "is_reverse": true}} | 17,989 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = e + 14; u = e + 17; h = y + 5; z = n + 17; q = d + 20; c = z + 2; d = h + 4; e = 8; w = l + 16; y = u + 11; v = q + 18; o = w + 1; l = c + 14. If e = 8, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 16 to o, which gives o = l + 17.\n2. Substitute l = c + 14 to o, which gives o = c + 31.\n3. Substitute c = z + 2 to o, which gives o = z + 33.\n4. Substitute z = n + 17 to o, which gives o = n + 50.\n5. Substitute n = e + 14 to o, which gives o = e + 64.\n6. Substitute e = 8 to o, which gives o = 72.\n\nThus, the final answer is o = \\boxed{72}.",
"index": 17989,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = e + 14; u = e + 17; h = y + 5; z = n + 17; q = d + 20; c = z + 2; d = h + 4; e = 8; w = l + 16; y = u + 11; v = q + 18; o = w + 1; l = c + 14. If e = 8, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 3", "z": "c + 8", "f": "z + 15", "t": "f + 15", "d": "t + 1", "s": "d + 18", "b": "y + 14", "r": "b + 12", "m": "r + 14", "w": "m + 19", "l": "w + 2", "h": "l + 7", "y": 5}, "premises": {"y": 5}, "target": "s"}, "answer": {"steps": [["d", "t + 1", "t + 19"], ["t", "f + 15", "f + 34"], ["f", "z + 15", "z + 49"], ["z", "c + 8", "c + 57"], ["c", "y + 3", "y + 60"], ["y", 5, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"y": 5}, "is_reverse": true}} | 17,990 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = d + 18; y = 5; c = y + 3; m = r + 14; d = t + 1; w = m + 19; z = c + 8; b = y + 14; r = b + 12; t = f + 15; h = l + 7; l = w + 2; f = z + 15. Given that y = 5, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 1 to s, which gives s = t + 19.\n2. Substitute t = f + 15 to s, which gives s = f + 34.\n3. Substitute f = z + 15 to s, which gives s = z + 49.\n4. Substitute z = c + 8 to s, which gives s = c + 57.\n5. Substitute c = y + 3 to s, which gives s = y + 60.\n6. Substitute y = 5 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 17990,
"question": "Suppose a collection of variables is related by the following definitions: s = d + 18; y = 5; c = y + 3; m = r + 14; d = t + 1; w = m + 19; z = c + 8; b = y + 14; r = b + 12; t = f + 15; h = l + 7; l = w + 2; f = z + 15. Given that y = 5, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 20", "j": "e + 3", "v": "j + 18", "y": "v + 3", "q": "y + 5", "n": "q + 3", "x": "z + 3", "k": "x + 7", "l": "k + 3", "d": "l + 3", "f": "d + 12", "b": "f + 20", "z": 18}, "premises": {"z": 18}, "target": "n"}, "answer": {"steps": [["q", "y + 5", "y + 8"], ["y", "v + 3", "v + 11"], ["v", "j + 18", "j + 29"], ["j", "e + 3", "e + 32"], ["e", "z + 20", "z + 52"], ["z", 18, "70"]], "target_var_name": "n", "target_value": 70, "value_dict": {"z": 18}, "is_reverse": true}} | 17,991 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = v + 3; x = z + 3; k = x + 7; q = y + 5; l = k + 3; b = f + 20; z = 18; e = z + 20; v = j + 18; d = l + 3; j = e + 3; f = d + 12; n = q + 3. Given that z = 18, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 5 to n, which gives n = y + 8.\n2. Substitute y = v + 3 to n, which gives n = v + 11.\n3. Substitute v = j + 18 to n, which gives n = j + 29.\n4. Substitute j = e + 3 to n, which gives n = e + 32.\n5. Substitute e = z + 20 to n, which gives n = z + 52.\n6. Substitute z = 18 to n, which gives n = 70.\n\nThus, the final answer is n = \\boxed{70}.",
"index": 17991,
"question": "Suppose a collection of variables is related by the following definitions: y = v + 3; x = z + 3; k = x + 7; q = y + 5; l = k + 3; b = f + 20; z = 18; e = z + 20; v = j + 18; d = l + 3; j = e + 3; f = d + 12; n = q + 3. Given that z = 18, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 4", "m": "g + 15", "a": "m + 4", "u": "a + 16", "z": "u + 13", "r": "z + 14", "p": "n + 14", "j": "p + 16", "f": "j + 18", "w": "f + 13", "s": "w + 16", "b": "s + 12", "n": 9}, "premises": {"n": 9}, "target": "r"}, "answer": {"steps": [["z", "u + 13", "u + 27"], ["u", "a + 16", "a + 43"], ["a", "m + 4", "m + 47"], ["m", "g + 15", "g + 62"], ["g", "n + 4", "n + 66"], ["n", 9, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"n": 9}, "is_reverse": true}} | 17,992 | 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 = g + 15; f = j + 18; a = m + 4; b = s + 12; u = a + 16; w = f + 13; z = u + 13; g = n + 4; n = 9; p = n + 14; s = w + 16; j = p + 16; r = z + 14. If n = 9, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 13 to r, which gives r = u + 27.\n2. Substitute u = a + 16 to r, which gives r = a + 43.\n3. Substitute a = m + 4 to r, which gives r = m + 47.\n4. Substitute m = g + 15 to r, which gives r = g + 62.\n5. Substitute g = n + 4 to r, which gives r = n + 66.\n6. Substitute n = 9 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 17992,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = g + 15; f = j + 18; a = m + 4; b = s + 12; u = a + 16; w = f + 13; z = u + 13; g = n + 4; n = 9; p = n + 14; s = w + 16; j = p + 16; r = z + 14. If n = 9, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 19", "e": "l + 14", "t": "e + 20", "q": "t + 17", "r": "q + 12", "i": "r + 18", "s": "f + 3", "x": "s + 15", "o": "x + 7", "n": "o + 16", "g": "n + 2", "u": "g + 11", "f": 6}, "premises": {"f": 6}, "target": "i"}, "answer": {"steps": [["r", "q + 12", "q + 30"], ["q", "t + 17", "t + 47"], ["t", "e + 20", "e + 67"], ["e", "l + 14", "l + 81"], ["l", "f + 19", "f + 100"], ["f", 6, "106"]], "target_var_name": "i", "target_value": 106, "value_dict": {"f": 6}, "is_reverse": true}} | 17,993 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = f + 3; t = e + 20; o = x + 7; u = g + 11; n = o + 16; e = l + 14; q = t + 17; r = q + 12; l = f + 19; x = s + 15; i = r + 18; f = 6; g = n + 2. If f = 6, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 12 to i, which gives i = q + 30.\n2. Substitute q = t + 17 to i, which gives i = t + 47.\n3. Substitute t = e + 20 to i, which gives i = e + 67.\n4. Substitute e = l + 14 to i, which gives i = l + 81.\n5. Substitute l = f + 19 to i, which gives i = f + 100.\n6. Substitute f = 6 to i, which gives i = 106.\n\nThus, the final answer is i = \\boxed{106}.",
"index": 17993,
"question": "Consider a system of variables where each variable is defined as follows: s = f + 3; t = e + 20; o = x + 7; u = g + 11; n = o + 16; e = l + 14; q = t + 17; r = q + 12; l = f + 19; x = s + 15; i = r + 18; f = 6; g = n + 2. If f = 6, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"k": "i + 17", "g": "k + 11", "b": "g + 20", "r": "b + 14", "e": "r + 19", "y": "e + 15", "m": "i + 7", "z": "m + 14", "h": "z + 6", "s": "h + 18", "w": "s + 7", "p": "w + 18", "i": 18}, "premises": {"i": 18}, "target": "y"}, "answer": {"steps": [["e", "r + 19", "r + 34"], ["r", "b + 14", "b + 48"], ["b", "g + 20", "g + 68"], ["g", "k + 11", "k + 79"], ["k", "i + 17", "i + 96"], ["i", 18, "114"]], "target_var_name": "y", "target_value": 114, "value_dict": {"i": 18}, "is_reverse": true}} | 17,994 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = z + 6; p = w + 18; k = i + 17; i = 18; w = s + 7; b = g + 20; z = m + 14; y = e + 15; g = k + 11; m = i + 7; e = r + 19; r = b + 14; s = h + 18. Given that i = 18, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 114,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 19 to y, which gives y = r + 34.\n2. Substitute r = b + 14 to y, which gives y = b + 48.\n3. Substitute b = g + 20 to y, which gives y = g + 68.\n4. Substitute g = k + 11 to y, which gives y = k + 79.\n5. Substitute k = i + 17 to y, which gives y = i + 96.\n6. Substitute i = 18 to y, which gives y = 114.\n\nThus, the final answer is y = \\boxed{114}.",
"index": 17994,
"question": "Suppose a collection of variables is related by the following definitions: h = z + 6; p = w + 18; k = i + 17; i = 18; w = s + 7; b = g + 20; z = m + 14; y = e + 15; g = k + 11; m = i + 7; e = r + 19; r = b + 14; s = h + 18. Given that i = 18, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"q": "m + 12", "l": "q + 3", "s": "l + 11", "w": "s + 6", "v": "w + 12", "x": "v + 12", "i": "m + 5", "j": "i + 5", "a": "j + 7", "o": "a + 19", "p": "o + 3", "r": "p + 2", "m": 3}, "premises": {"m": 3}, "target": "x"}, "answer": {"steps": [["v", "w + 12", "w + 24"], ["w", "s + 6", "s + 30"], ["s", "l + 11", "l + 41"], ["l", "q + 3", "q + 44"], ["q", "m + 12", "m + 56"], ["m", 3, "59"]], "target_var_name": "x", "target_value": 59, "value_dict": {"m": 3}, "is_reverse": true}} | 17,995 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = p + 2; s = l + 11; x = v + 12; w = s + 6; m = 3; j = i + 5; o = a + 19; p = o + 3; q = m + 12; a = j + 7; v = w + 12; l = q + 3; i = m + 5. Given that m = 3, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 12 to x, which gives x = w + 24.\n2. Substitute w = s + 6 to x, which gives x = s + 30.\n3. Substitute s = l + 11 to x, which gives x = l + 41.\n4. Substitute l = q + 3 to x, which gives x = q + 44.\n5. Substitute q = m + 12 to x, which gives x = m + 56.\n6. Substitute m = 3 to x, which gives x = 59.\n\nThus, the final answer is x = \\boxed{59}.",
"index": 17995,
"question": "Suppose a collection of variables is related by the following definitions: r = p + 2; s = l + 11; x = v + 12; w = s + 6; m = 3; j = i + 5; o = a + 19; p = o + 3; q = m + 12; a = j + 7; v = w + 12; l = q + 3; i = m + 5. Given that m = 3, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "v + 18", "k": "u + 5", "t": "k + 9", "o": "t + 18", "p": "o + 20", "z": "p + 18", "c": "v + 13", "q": "c + 15", "l": "q + 9", "d": "l + 14", "r": "d + 11", "n": "r + 20", "v": 14}, "premises": {"v": 14}, "target": "z"}, "answer": {"steps": [["p", "o + 20", "o + 38"], ["o", "t + 18", "t + 56"], ["t", "k + 9", "k + 65"], ["k", "u + 5", "u + 70"], ["u", "v + 18", "v + 88"], ["v", 14, "102"]], "target_var_name": "z", "target_value": 102, "value_dict": {"v": 14}, "is_reverse": true}} | 17,996 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = q + 9; c = v + 13; v = 14; o = t + 18; p = o + 20; k = u + 5; r = d + 11; d = l + 14; u = v + 18; z = p + 18; q = c + 15; n = r + 20; t = k + 9. If v = 14, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 20 to z, which gives z = o + 38.\n2. Substitute o = t + 18 to z, which gives z = t + 56.\n3. Substitute t = k + 9 to z, which gives z = k + 65.\n4. Substitute k = u + 5 to z, which gives z = u + 70.\n5. Substitute u = v + 18 to z, which gives z = v + 88.\n6. Substitute v = 14 to z, which gives z = 102.\n\nThus, the final answer is z = \\boxed{102}.",
"index": 17996,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = q + 9; c = v + 13; v = 14; o = t + 18; p = o + 20; k = u + 5; r = d + 11; d = l + 14; u = v + 18; z = p + 18; q = c + 15; n = r + 20; t = k + 9. If v = 14, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 10", "v": "i + 4", "m": "v + 5", "a": "m + 17", "h": "a + 3", "r": "h + 10", "z": "n + 16", "x": "z + 10", "l": "x + 17", "q": "l + 8", "o": "q + 10", "w": "o + 1", "n": 19}, "premises": {"n": 19}, "target": "r"}, "answer": {"steps": [["h", "a + 3", "a + 13"], ["a", "m + 17", "m + 30"], ["m", "v + 5", "v + 35"], ["v", "i + 4", "i + 39"], ["i", "n + 10", "n + 49"], ["n", 19, "68"]], "target_var_name": "r", "target_value": 68, "value_dict": {"n": 19}, "is_reverse": true}} | 17,997 | 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 + 10; q = l + 8; n = 19; v = i + 4; x = z + 10; l = x + 17; o = q + 10; w = o + 1; i = n + 10; a = m + 17; z = n + 16; h = a + 3; m = v + 5. If n = 19, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 3 to r, which gives r = a + 13.\n2. Substitute a = m + 17 to r, which gives r = m + 30.\n3. Substitute m = v + 5 to r, which gives r = v + 35.\n4. Substitute v = i + 4 to r, which gives r = i + 39.\n5. Substitute i = n + 10 to r, which gives r = n + 49.\n6. Substitute n = 19 to r, which gives r = 68.\n\nThus, the final answer is r = \\boxed{68}.",
"index": 17997,
"question": "Consider a system of variables where each variable is defined as follows: r = h + 10; q = l + 8; n = 19; v = i + 4; x = z + 10; l = x + 17; o = q + 10; w = o + 1; i = n + 10; a = m + 17; z = n + 16; h = a + 3; m = v + 5. If n = 19, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 4", "h": "a + 8", "t": "h + 3", "d": "t + 2", "n": "d + 1", "z": "n + 15", "e": "y + 1", "k": "e + 2", "i": "k + 3", "r": "i + 7", "f": "r + 16", "v": "f + 5", "y": 4}, "premises": {"y": 4}, "target": "z"}, "answer": {"steps": [["n", "d + 1", "d + 16"], ["d", "t + 2", "t + 18"], ["t", "h + 3", "h + 21"], ["h", "a + 8", "a + 29"], ["a", "y + 4", "y + 33"], ["y", 4, "37"]], "target_var_name": "z", "target_value": 37, "value_dict": {"y": 4}, "is_reverse": true}} | 17,998 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = d + 1; z = n + 15; i = k + 3; h = a + 8; v = f + 5; t = h + 3; d = t + 2; f = r + 16; k = e + 2; a = y + 4; e = y + 1; r = i + 7; y = 4. Given that y = 4, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 37,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 1 to z, which gives z = d + 16.\n2. Substitute d = t + 2 to z, which gives z = t + 18.\n3. Substitute t = h + 3 to z, which gives z = h + 21.\n4. Substitute h = a + 8 to z, which gives z = a + 29.\n5. Substitute a = y + 4 to z, which gives z = y + 33.\n6. Substitute y = 4 to z, which gives z = 37.\n\nThus, the final answer is z = \\boxed{37}.",
"index": 17998,
"question": "Suppose a collection of variables is related by the following definitions: n = d + 1; z = n + 15; i = k + 3; h = a + 8; v = f + 5; t = h + 3; d = t + 2; f = r + 16; k = e + 2; a = y + 4; e = y + 1; r = i + 7; y = 4. Given that y = 4, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 18", "f": "w + 17", "d": "f + 12", "g": "d + 7", "v": "g + 19", "i": "v + 2", "s": "a + 2", "r": "s + 9", "y": "r + 5", "u": "y + 1", "j": "u + 9", "l": "j + 16", "a": 5}, "premises": {"a": 5}, "target": "i"}, "answer": {"steps": [["v", "g + 19", "g + 21"], ["g", "d + 7", "d + 28"], ["d", "f + 12", "f + 40"], ["f", "w + 17", "w + 57"], ["w", "a + 18", "a + 75"], ["a", 5, "80"]], "target_var_name": "i", "target_value": 80, "value_dict": {"a": 5}, "is_reverse": true}} | 17,999 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = j + 16; f = w + 17; d = f + 12; g = d + 7; s = a + 2; v = g + 19; a = 5; y = r + 5; u = y + 1; j = u + 9; r = s + 9; w = a + 18; i = v + 2. Given that a = 5, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 19 to i, which gives i = g + 21.\n2. Substitute g = d + 7 to i, which gives i = d + 28.\n3. Substitute d = f + 12 to i, which gives i = f + 40.\n4. Substitute f = w + 17 to i, which gives i = w + 57.\n5. Substitute w = a + 18 to i, which gives i = a + 75.\n6. Substitute a = 5 to i, which gives i = 80.\n\nThus, the final answer is i = \\boxed{80}.",
"index": 17999,
"question": "Suppose a collection of variables is related by the following definitions: l = j + 16; f = w + 17; d = f + 12; g = d + 7; s = a + 2; v = g + 19; a = 5; y = r + 5; u = y + 1; j = u + 9; r = s + 9; w = a + 18; i = v + 2. Given that a = 5, find the value of i.",
"split": "train"
} |
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