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": {"j": "l + 18", "f": "j + 7", "t": "f + 7", "d": "t + 16", "u": "d + 7", "s": "u + 20", "r": "l + 7", "e": "r + 8", "m": "e + 16", "k": "m + 17", "i": "k + 4", "g": "i + 10", "l": 4}, "premises": {"l": 4}, "target": "s"}, "answer": {"steps": [["u", "d + 7", "d + 27"], ["d", "t + 16", "t + 43"], ["t", "f + 7", "f + 50"], ["f", "j + 7", "j + 57"], ["j", "l + 18", "l + 75"], ["l", 4, "79"]], "target_var_name": "s", "target_value": 79, "value_dict": {"l": 4}, "is_reverse": true}} | 21,200 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = f + 7; u = d + 7; s = u + 20; r = l + 7; i = k + 4; l = 4; j = l + 18; m = e + 16; d = t + 16; g = i + 10; e = r + 8; k = m + 17; f = j + 7. If l = 4, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 7 to s, which gives s = d + 27.\n2. Substitute d = t + 16 to s, which gives s = t + 43.\n3. Substitute t = f + 7 to s, which gives s = f + 50.\n4. Substitute f = j + 7 to s, which gives s = j + 57.\n5. Substitute j = l + 18 to s, which gives s = l + 75.\n6. Substitute l = 4 to s, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 21200,
"question": "Consider a system of variables where each variable is defined as follows: t = f + 7; u = d + 7; s = u + 20; r = l + 7; i = k + 4; l = 4; j = l + 18; m = e + 16; d = t + 16; g = i + 10; e = r + 8; k = m + 17; f = j + 7. If l = 4, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 2", "v": "j + 11", "y": "v + 12", "g": "y + 16", "k": "g + 16", "f": "k + 8", "z": "t + 5", "m": "z + 19", "b": "m + 11", "r": "b + 2", "s": "r + 18", "c": "s + 14", "t": 4}, "premises": {"t": 4}, "target": "f"}, "answer": {"steps": [["k", "g + 16", "g + 24"], ["g", "y + 16", "y + 40"], ["y", "v + 12", "v + 52"], ["v", "j + 11", "j + 63"], ["j", "t + 2", "t + 65"], ["t", 4, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"t": 4}, "is_reverse": true}} | 21,201 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = z + 19; t = 4; v = j + 11; g = y + 16; z = t + 5; f = k + 8; c = s + 14; k = g + 16; j = t + 2; y = v + 12; r = b + 2; s = r + 18; b = m + 11. Given that t = 4, find the 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 k = g + 16 to f, which gives f = g + 24.\n2. Substitute g = y + 16 to f, which gives f = y + 40.\n3. Substitute y = v + 12 to f, which gives f = v + 52.\n4. Substitute v = j + 11 to f, which gives f = j + 63.\n5. Substitute j = t + 2 to f, which gives f = t + 65.\n6. Substitute t = 4 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 21201,
"question": "Suppose a collection of variables is related by the following definitions: m = z + 19; t = 4; v = j + 11; g = y + 16; z = t + 5; f = k + 8; c = s + 14; k = g + 16; j = t + 2; y = v + 12; r = b + 2; s = r + 18; b = m + 11. Given that t = 4, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 8", "r": "n + 12", "z": "r + 11", "g": "z + 8", "s": "g + 13", "a": "s + 5", "o": "f + 14", "w": "o + 9", "k": "w + 8", "u": "k + 9", "x": "u + 20", "q": "x + 11", "f": 2}, "premises": {"f": 2}, "target": "a"}, "answer": {"steps": [["s", "g + 13", "g + 18"], ["g", "z + 8", "z + 26"], ["z", "r + 11", "r + 37"], ["r", "n + 12", "n + 49"], ["n", "f + 8", "f + 57"], ["f", 2, "59"]], "target_var_name": "a", "target_value": 59, "value_dict": {"f": 2}, "is_reverse": true}} | 21,202 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 11; f = 2; n = f + 8; s = g + 13; g = z + 8; k = w + 8; x = u + 20; a = s + 5; q = x + 11; u = k + 9; o = f + 14; r = n + 12; w = o + 9. If f = 2, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 13 to a, which gives a = g + 18.\n2. Substitute g = z + 8 to a, which gives a = z + 26.\n3. Substitute z = r + 11 to a, which gives a = r + 37.\n4. Substitute r = n + 12 to a, which gives a = n + 49.\n5. Substitute n = f + 8 to a, which gives a = f + 57.\n6. Substitute f = 2 to a, which gives a = 59.\n\nThus, the final answer is a = \\boxed{59}.",
"index": 21202,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 11; f = 2; n = f + 8; s = g + 13; g = z + 8; k = w + 8; x = u + 20; a = s + 5; q = x + 11; u = k + 9; o = f + 14; r = n + 12; w = o + 9. If f = 2, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 16", "d": "n + 17", "x": "d + 16", "k": "x + 10", "r": "k + 17", "b": "r + 15", "h": "u + 7", "c": "h + 18", "l": "c + 8", "o": "l + 15", "z": "o + 3", "f": "z + 7", "u": 3}, "premises": {"u": 3}, "target": "b"}, "answer": {"steps": [["r", "k + 17", "k + 32"], ["k", "x + 10", "x + 42"], ["x", "d + 16", "d + 58"], ["d", "n + 17", "n + 75"], ["n", "u + 16", "u + 91"], ["u", 3, "94"]], "target_var_name": "b", "target_value": 94, "value_dict": {"u": 3}, "is_reverse": true}} | 21,203 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = n + 17; b = r + 15; n = u + 16; r = k + 17; h = u + 7; f = z + 7; c = h + 18; o = l + 15; z = o + 3; u = 3; l = c + 8; x = d + 16; k = x + 10. If u = 3, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 17 to b, which gives b = k + 32.\n2. Substitute k = x + 10 to b, which gives b = x + 42.\n3. Substitute x = d + 16 to b, which gives b = d + 58.\n4. Substitute d = n + 17 to b, which gives b = n + 75.\n5. Substitute n = u + 16 to b, which gives b = u + 91.\n6. Substitute u = 3 to b, which gives b = 94.\n\nThus, the final answer is b = \\boxed{94}.",
"index": 21203,
"question": "Consider a system of variables where each variable is defined as follows: d = n + 17; b = r + 15; n = u + 16; r = k + 17; h = u + 7; f = z + 7; c = h + 18; o = l + 15; z = o + 3; u = 3; l = c + 8; x = d + 16; k = x + 10. If u = 3, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 17", "o": "w + 2", "k": "o + 18", "n": "k + 4", "l": "n + 8", "i": "l + 14", "a": "s + 19", "b": "a + 11", "d": "b + 2", "c": "d + 17", "p": "c + 3", "f": "p + 5", "s": 17}, "premises": {"s": 17}, "target": "i"}, "answer": {"steps": [["l", "n + 8", "n + 22"], ["n", "k + 4", "k + 26"], ["k", "o + 18", "o + 44"], ["o", "w + 2", "w + 46"], ["w", "s + 17", "s + 63"], ["s", 17, "80"]], "target_var_name": "i", "target_value": 80, "value_dict": {"s": 17}, "is_reverse": true}} | 21,204 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = s + 17; d = b + 2; n = k + 4; k = o + 18; s = 17; c = d + 17; f = p + 5; a = s + 19; b = a + 11; i = l + 14; l = n + 8; p = c + 3; o = w + 2. Given that s = 17, 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 l = n + 8 to i, which gives i = n + 22.\n2. Substitute n = k + 4 to i, which gives i = k + 26.\n3. Substitute k = o + 18 to i, which gives i = o + 44.\n4. Substitute o = w + 2 to i, which gives i = w + 46.\n5. Substitute w = s + 17 to i, which gives i = s + 63.\n6. Substitute s = 17 to i, which gives i = 80.\n\nThus, the final answer is i = \\boxed{80}.",
"index": 21204,
"question": "Suppose a collection of variables is related by the following definitions: w = s + 17; d = b + 2; n = k + 4; k = o + 18; s = 17; c = d + 17; f = p + 5; a = s + 19; b = a + 11; i = l + 14; l = n + 8; p = c + 3; o = w + 2. Given that s = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"k": "w + 6", "h": "k + 4", "z": "h + 17", "f": "z + 18", "b": "f + 19", "o": "b + 4", "c": "w + 6", "i": "c + 14", "s": "i + 15", "u": "s + 19", "v": "u + 15", "m": "v + 7", "w": 9}, "premises": {"w": 9}, "target": "o"}, "answer": {"steps": [["b", "f + 19", "f + 23"], ["f", "z + 18", "z + 41"], ["z", "h + 17", "h + 58"], ["h", "k + 4", "k + 62"], ["k", "w + 6", "w + 68"], ["w", 9, "77"]], "target_var_name": "o", "target_value": 77, "value_dict": {"w": 9}, "is_reverse": true}} | 21,205 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = c + 14; w = 9; v = u + 15; m = v + 7; b = f + 19; z = h + 17; k = w + 6; h = k + 4; o = b + 4; c = w + 6; f = z + 18; s = i + 15; u = s + 19. If w = 9, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 19 to o, which gives o = f + 23.\n2. Substitute f = z + 18 to o, which gives o = z + 41.\n3. Substitute z = h + 17 to o, which gives o = h + 58.\n4. Substitute h = k + 4 to o, which gives o = k + 62.\n5. Substitute k = w + 6 to o, which gives o = w + 68.\n6. Substitute w = 9 to o, which gives o = 77.\n\nThus, the final answer is o = \\boxed{77}.",
"index": 21205,
"question": "Consider a system of variables where each variable is defined as follows: i = c + 14; w = 9; v = u + 15; m = v + 7; b = f + 19; z = h + 17; k = w + 6; h = k + 4; o = b + 4; c = w + 6; f = z + 18; s = i + 15; u = s + 19. If w = 9, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 9", "r": "o + 4", "e": "r + 3", "a": "e + 15", "x": "a + 19", "w": "x + 7", "k": "u + 8", "g": "k + 19", "z": "g + 8", "y": "z + 17", "h": "y + 14", "q": "h + 6", "u": 2}, "premises": {"u": 2}, "target": "w"}, "answer": {"steps": [["x", "a + 19", "a + 26"], ["a", "e + 15", "e + 41"], ["e", "r + 3", "r + 44"], ["r", "o + 4", "o + 48"], ["o", "u + 9", "u + 57"], ["u", 2, "59"]], "target_var_name": "w", "target_value": 59, "value_dict": {"u": 2}, "is_reverse": true}} | 21,206 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = u + 8; y = z + 17; x = a + 19; w = x + 7; a = e + 15; e = r + 3; h = y + 14; z = g + 8; o = u + 9; g = k + 19; q = h + 6; r = o + 4; u = 2. Given that u = 2, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 19 to w, which gives w = a + 26.\n2. Substitute a = e + 15 to w, which gives w = e + 41.\n3. Substitute e = r + 3 to w, which gives w = r + 44.\n4. Substitute r = o + 4 to w, which gives w = o + 48.\n5. Substitute o = u + 9 to w, which gives w = u + 57.\n6. Substitute u = 2 to w, which gives w = 59.\n\nThus, the final answer is w = \\boxed{59}.",
"index": 21206,
"question": "Suppose a collection of variables is related by the following definitions: k = u + 8; y = z + 17; x = a + 19; w = x + 7; a = e + 15; e = r + 3; h = y + 14; z = g + 8; o = u + 9; g = k + 19; q = h + 6; r = o + 4; u = 2. Given that u = 2, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 13", "h": "e + 16", "p": "h + 12", "k": "p + 18", "t": "k + 4", "q": "t + 15", "d": "i + 8", "v": "d + 18", "l": "v + 2", "j": "l + 15", "c": "j + 15", "u": "c + 15", "i": 13}, "premises": {"i": 13}, "target": "q"}, "answer": {"steps": [["t", "k + 4", "k + 19"], ["k", "p + 18", "p + 37"], ["p", "h + 12", "h + 49"], ["h", "e + 16", "e + 65"], ["e", "i + 13", "i + 78"], ["i", 13, "91"]], "target_var_name": "q", "target_value": 91, "value_dict": {"i": 13}, "is_reverse": true}} | 21,207 | 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 = c + 15; j = l + 15; v = d + 18; l = v + 2; c = j + 15; i = 13; t = k + 4; p = h + 12; d = i + 8; h = e + 16; k = p + 18; q = t + 15; e = i + 13. If i = 13, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 4 to q, which gives q = k + 19.\n2. Substitute k = p + 18 to q, which gives q = p + 37.\n3. Substitute p = h + 12 to q, which gives q = h + 49.\n4. Substitute h = e + 16 to q, which gives q = e + 65.\n5. Substitute e = i + 13 to q, which gives q = i + 78.\n6. Substitute i = 13 to q, which gives q = 91.\n\nThus, the final answer is q = \\boxed{91}.",
"index": 21207,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 15; j = l + 15; v = d + 18; l = v + 2; c = j + 15; i = 13; t = k + 4; p = h + 12; d = i + 8; h = e + 16; k = p + 18; q = t + 15; e = i + 13. If i = 13, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 11", "e": "o + 15", "j": "e + 11", "u": "j + 13", "a": "u + 16", "k": "a + 2", "q": "h + 12", "g": "q + 6", "z": "g + 3", "t": "z + 10", "i": "t + 2", "b": "i + 11", "h": 20}, "premises": {"h": 20}, "target": "k"}, "answer": {"steps": [["a", "u + 16", "u + 18"], ["u", "j + 13", "j + 31"], ["j", "e + 11", "e + 42"], ["e", "o + 15", "o + 57"], ["o", "h + 11", "h + 68"], ["h", 20, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"h": 20}, "is_reverse": true}} | 21,208 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = h + 11; i = t + 2; g = q + 6; a = u + 16; u = j + 13; j = e + 11; h = 20; b = i + 11; k = a + 2; t = z + 10; q = h + 12; e = o + 15; z = g + 3. Given that h = 20, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 16 to k, which gives k = u + 18.\n2. Substitute u = j + 13 to k, which gives k = j + 31.\n3. Substitute j = e + 11 to k, which gives k = e + 42.\n4. Substitute e = o + 15 to k, which gives k = o + 57.\n5. Substitute o = h + 11 to k, which gives k = h + 68.\n6. Substitute h = 20 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 21208,
"question": "Suppose a collection of variables is related by the following definitions: o = h + 11; i = t + 2; g = q + 6; a = u + 16; u = j + 13; j = e + 11; h = 20; b = i + 11; k = a + 2; t = z + 10; q = h + 12; e = o + 15; z = g + 3. Given that h = 20, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 2", "q": "c + 6", "p": "q + 15", "w": "p + 15", "b": "w + 6", "h": "b + 11", "v": "g + 18", "t": "v + 7", "z": "t + 14", "m": "z + 13", "f": "m + 14", "s": "f + 1", "g": 15}, "premises": {"g": 15}, "target": "h"}, "answer": {"steps": [["b", "w + 6", "w + 17"], ["w", "p + 15", "p + 32"], ["p", "q + 15", "q + 47"], ["q", "c + 6", "c + 53"], ["c", "g + 2", "g + 55"], ["g", 15, "70"]], "target_var_name": "h", "target_value": 70, "value_dict": {"g": 15}, "is_reverse": true}} | 21,209 | 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 + 1; g = 15; m = z + 13; c = g + 2; h = b + 11; q = c + 6; p = q + 15; b = w + 6; t = v + 7; z = t + 14; f = m + 14; w = p + 15; v = g + 18. If g = 15, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 6 to h, which gives h = w + 17.\n2. Substitute w = p + 15 to h, which gives h = p + 32.\n3. Substitute p = q + 15 to h, which gives h = q + 47.\n4. Substitute q = c + 6 to h, which gives h = c + 53.\n5. Substitute c = g + 2 to h, which gives h = g + 55.\n6. Substitute g = 15 to h, which gives h = 70.\n\nThus, the final answer is h = \\boxed{70}.",
"index": 21209,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 1; g = 15; m = z + 13; c = g + 2; h = b + 11; q = c + 6; p = q + 15; b = w + 6; t = v + 7; z = t + 14; f = m + 14; w = p + 15; v = g + 18. If g = 15, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 9", "v": "y + 18", "o": "v + 10", "s": "o + 3", "l": "s + 6", "f": "l + 10", "i": "c + 8", "t": "i + 18", "x": "t + 19", "j": "x + 3", "u": "j + 19", "m": "u + 16", "c": 7}, "premises": {"c": 7}, "target": "f"}, "answer": {"steps": [["l", "s + 6", "s + 16"], ["s", "o + 3", "o + 19"], ["o", "v + 10", "v + 29"], ["v", "y + 18", "y + 47"], ["y", "c + 9", "c + 56"], ["c", 7, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"c": 7}, "is_reverse": true}} | 21,210 | 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 = o + 3; x = t + 19; o = v + 10; i = c + 8; f = l + 10; l = s + 6; m = u + 16; j = x + 3; y = c + 9; c = 7; t = i + 18; u = j + 19; v = y + 18. If c = 7, what is the resulting 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 l = s + 6 to f, which gives f = s + 16.\n2. Substitute s = o + 3 to f, which gives f = o + 19.\n3. Substitute o = v + 10 to f, which gives f = v + 29.\n4. Substitute v = y + 18 to f, which gives f = y + 47.\n5. Substitute y = c + 9 to f, which gives f = c + 56.\n6. Substitute c = 7 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 21210,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = o + 3; x = t + 19; o = v + 10; i = c + 8; f = l + 10; l = s + 6; m = u + 16; j = x + 3; y = c + 9; c = 7; t = i + 18; u = j + 19; v = y + 18. If c = 7, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"l": "e + 7", "a": "l + 4", "y": "a + 19", "p": "y + 4", "n": "p + 15", "s": "n + 7", "c": "e + 18", "j": "c + 3", "r": "j + 15", "d": "r + 2", "x": "d + 14", "i": "x + 6", "e": 16}, "premises": {"e": 16}, "target": "s"}, "answer": {"steps": [["n", "p + 15", "p + 22"], ["p", "y + 4", "y + 26"], ["y", "a + 19", "a + 45"], ["a", "l + 4", "l + 49"], ["l", "e + 7", "e + 56"], ["e", 16, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"e": 16}, "is_reverse": true}} | 21,211 | 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 = e + 7; p = y + 4; e = 16; r = j + 15; y = a + 19; j = c + 3; c = e + 18; n = p + 15; a = l + 4; i = x + 6; d = r + 2; s = n + 7; x = d + 14. If e = 16, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 15 to s, which gives s = p + 22.\n2. Substitute p = y + 4 to s, which gives s = y + 26.\n3. Substitute y = a + 19 to s, which gives s = a + 45.\n4. Substitute a = l + 4 to s, which gives s = l + 49.\n5. Substitute l = e + 7 to s, which gives s = e + 56.\n6. Substitute e = 16 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 21211,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = e + 7; p = y + 4; e = 16; r = j + 15; y = a + 19; j = c + 3; c = e + 18; n = p + 15; a = l + 4; i = x + 6; d = r + 2; s = n + 7; x = d + 14. If e = 16, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 4", "p": "o + 18", "j": "p + 5", "t": "j + 13", "f": "t + 4", "e": "f + 7", "x": "c + 3", "n": "x + 20", "z": "n + 7", "h": "z + 5", "w": "h + 18", "r": "w + 3", "c": 15}, "premises": {"c": 15}, "target": "e"}, "answer": {"steps": [["f", "t + 4", "t + 11"], ["t", "j + 13", "j + 24"], ["j", "p + 5", "p + 29"], ["p", "o + 18", "o + 47"], ["o", "c + 4", "c + 51"], ["c", 15, "66"]], "target_var_name": "e", "target_value": 66, "value_dict": {"c": 15}, "is_reverse": true}} | 21,212 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 7; z = n + 7; r = w + 3; t = j + 13; j = p + 5; c = 15; o = c + 4; x = c + 3; f = t + 4; n = x + 20; w = h + 18; h = z + 5; p = o + 18. If c = 15, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 4 to e, which gives e = t + 11.\n2. Substitute t = j + 13 to e, which gives e = j + 24.\n3. Substitute j = p + 5 to e, which gives e = p + 29.\n4. Substitute p = o + 18 to e, which gives e = o + 47.\n5. Substitute o = c + 4 to e, which gives e = c + 51.\n6. Substitute c = 15 to e, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 21212,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 7; z = n + 7; r = w + 3; t = j + 13; j = p + 5; c = 15; o = c + 4; x = c + 3; f = t + 4; n = x + 20; w = h + 18; h = z + 5; p = o + 18. If c = 15, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 9", "j": "s + 20", "g": "j + 9", "o": "g + 5", "b": "o + 9", "e": "b + 8", "v": "h + 11", "a": "v + 19", "d": "a + 2", "k": "d + 7", "m": "k + 5", "i": "m + 16", "h": 7}, "premises": {"h": 7}, "target": "e"}, "answer": {"steps": [["b", "o + 9", "o + 17"], ["o", "g + 5", "g + 22"], ["g", "j + 9", "j + 31"], ["j", "s + 20", "s + 51"], ["s", "h + 9", "h + 60"], ["h", 7, "67"]], "target_var_name": "e", "target_value": 67, "value_dict": {"h": 7}, "is_reverse": true}} | 21,213 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = v + 19; m = k + 5; v = h + 11; e = b + 8; g = j + 9; j = s + 20; b = o + 9; d = a + 2; o = g + 5; i = m + 16; k = d + 7; s = h + 9; h = 7. Given that h = 7, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 9 to e, which gives e = o + 17.\n2. Substitute o = g + 5 to e, which gives e = g + 22.\n3. Substitute g = j + 9 to e, which gives e = j + 31.\n4. Substitute j = s + 20 to e, which gives e = s + 51.\n5. Substitute s = h + 9 to e, which gives e = h + 60.\n6. Substitute h = 7 to e, which gives e = 67.\n\nThus, the final answer is e = \\boxed{67}.",
"index": 21213,
"question": "Suppose a collection of variables is related by the following definitions: a = v + 19; m = k + 5; v = h + 11; e = b + 8; g = j + 9; j = s + 20; b = o + 9; d = a + 2; o = g + 5; i = m + 16; k = d + 7; s = h + 9; h = 7. Given that h = 7, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 15", "v": "z + 15", "y": "v + 18", "p": "y + 17", "e": "p + 11", "n": "e + 18", "j": "l + 17", "b": "j + 11", "h": "b + 1", "g": "h + 19", "a": "g + 10", "w": "a + 19", "l": 6}, "premises": {"l": 6}, "target": "n"}, "answer": {"steps": [["e", "p + 11", "p + 29"], ["p", "y + 17", "y + 46"], ["y", "v + 18", "v + 64"], ["v", "z + 15", "z + 79"], ["z", "l + 15", "l + 94"], ["l", 6, "100"]], "target_var_name": "n", "target_value": 100, "value_dict": {"l": 6}, "is_reverse": true}} | 21,214 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = g + 10; z = l + 15; e = p + 11; b = j + 11; v = z + 15; j = l + 17; g = h + 19; w = a + 19; h = b + 1; l = 6; p = y + 17; n = e + 18; y = v + 18. If l = 6, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 11 to n, which gives n = p + 29.\n2. Substitute p = y + 17 to n, which gives n = y + 46.\n3. Substitute y = v + 18 to n, which gives n = v + 64.\n4. Substitute v = z + 15 to n, which gives n = z + 79.\n5. Substitute z = l + 15 to n, which gives n = l + 94.\n6. Substitute l = 6 to n, which gives n = 100.\n\nThus, the final answer is n = \\boxed{100}.",
"index": 21214,
"question": "Consider a system of variables where each variable is defined as follows: a = g + 10; z = l + 15; e = p + 11; b = j + 11; v = z + 15; j = l + 17; g = h + 19; w = a + 19; h = b + 1; l = 6; p = y + 17; n = e + 18; y = v + 18. If l = 6, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 9", "b": "k + 7", "t": "b + 9", "e": "t + 11", "d": "e + 15", "q": "d + 10", "i": "a + 12", "r": "i + 5", "c": "r + 2", "j": "c + 11", "h": "j + 14", "p": "h + 12", "a": 14}, "premises": {"a": 14}, "target": "q"}, "answer": {"steps": [["d", "e + 15", "e + 25"], ["e", "t + 11", "t + 36"], ["t", "b + 9", "b + 45"], ["b", "k + 7", "k + 52"], ["k", "a + 9", "a + 61"], ["a", 14, "75"]], "target_var_name": "q", "target_value": 75, "value_dict": {"a": 14}, "is_reverse": true}} | 21,215 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = d + 10; a = 14; r = i + 5; c = r + 2; d = e + 15; i = a + 12; b = k + 7; k = a + 9; e = t + 11; h = j + 14; j = c + 11; p = h + 12; t = b + 9. If a = 14, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 15 to q, which gives q = e + 25.\n2. Substitute e = t + 11 to q, which gives q = t + 36.\n3. Substitute t = b + 9 to q, which gives q = b + 45.\n4. Substitute b = k + 7 to q, which gives q = k + 52.\n5. Substitute k = a + 9 to q, which gives q = a + 61.\n6. Substitute a = 14 to q, which gives q = 75.\n\nThus, the final answer is q = \\boxed{75}.",
"index": 21215,
"question": "Consider a system of variables where each variable is defined as follows: q = d + 10; a = 14; r = i + 5; c = r + 2; d = e + 15; i = a + 12; b = k + 7; k = a + 9; e = t + 11; h = j + 14; j = c + 11; p = h + 12; t = b + 9. If a = 14, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 14", "h": "w + 2", "m": "h + 18", "q": "m + 10", "z": "q + 5", "v": "z + 17", "l": "x + 18", "c": "l + 15", "o": "c + 19", "y": "o + 1", "s": "y + 9", "a": "s + 14", "x": 18}, "premises": {"x": 18}, "target": "v"}, "answer": {"steps": [["z", "q + 5", "q + 22"], ["q", "m + 10", "m + 32"], ["m", "h + 18", "h + 50"], ["h", "w + 2", "w + 52"], ["w", "x + 14", "x + 66"], ["x", 18, "84"]], "target_var_name": "v", "target_value": 84, "value_dict": {"x": 18}, "is_reverse": true}} | 21,216 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 18; o = c + 19; c = l + 15; m = h + 18; z = q + 5; w = x + 14; y = o + 1; h = w + 2; v = z + 17; s = y + 9; l = x + 18; q = m + 10; a = s + 14. Given that x = 18, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 5 to v, which gives v = q + 22.\n2. Substitute q = m + 10 to v, which gives v = m + 32.\n3. Substitute m = h + 18 to v, which gives v = h + 50.\n4. Substitute h = w + 2 to v, which gives v = w + 52.\n5. Substitute w = x + 14 to v, which gives v = x + 66.\n6. Substitute x = 18 to v, which gives v = 84.\n\nThus, the final answer is v = \\boxed{84}.",
"index": 21216,
"question": "Suppose a collection of variables is related by the following definitions: x = 18; o = c + 19; c = l + 15; m = h + 18; z = q + 5; w = x + 14; y = o + 1; h = w + 2; v = z + 17; s = y + 9; l = x + 18; q = m + 10; a = s + 14. Given that x = 18, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 12", "a": "g + 8", "c": "a + 3", "v": "c + 11", "e": "v + 5", "m": "e + 6", "u": "j + 20", "y": "u + 14", "o": "y + 10", "r": "o + 20", "i": "r + 17", "n": "i + 16", "j": 3}, "premises": {"j": 3}, "target": "m"}, "answer": {"steps": [["e", "v + 5", "v + 11"], ["v", "c + 11", "c + 22"], ["c", "a + 3", "a + 25"], ["a", "g + 8", "g + 33"], ["g", "j + 12", "j + 45"], ["j", 3, "48"]], "target_var_name": "m", "target_value": 48, "value_dict": {"j": 3}, "is_reverse": true}} | 21,217 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = r + 17; e = v + 5; j = 3; r = o + 20; y = u + 14; u = j + 20; a = g + 8; v = c + 11; o = y + 10; n = i + 16; m = e + 6; c = a + 3; g = j + 12. If j = 3, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 5 to m, which gives m = v + 11.\n2. Substitute v = c + 11 to m, which gives m = c + 22.\n3. Substitute c = a + 3 to m, which gives m = a + 25.\n4. Substitute a = g + 8 to m, which gives m = g + 33.\n5. Substitute g = j + 12 to m, which gives m = j + 45.\n6. Substitute j = 3 to m, which gives m = 48.\n\nThus, the final answer is m = \\boxed{48}.",
"index": 21217,
"question": "Consider a system of variables where each variable is defined as follows: i = r + 17; e = v + 5; j = 3; r = o + 20; y = u + 14; u = j + 20; a = g + 8; v = c + 11; o = y + 10; n = i + 16; m = e + 6; c = a + 3; g = j + 12. If j = 3, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 1", "n": "v + 10", "f": "n + 13", "l": "f + 17", "y": "l + 4", "u": "y + 17", "w": "b + 18", "m": "w + 18", "s": "m + 16", "a": "s + 5", "j": "a + 1", "d": "j + 5", "b": 5}, "premises": {"b": 5}, "target": "u"}, "answer": {"steps": [["y", "l + 4", "l + 21"], ["l", "f + 17", "f + 38"], ["f", "n + 13", "n + 51"], ["n", "v + 10", "v + 61"], ["v", "b + 1", "b + 62"], ["b", 5, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"b": 5}, "is_reverse": true}} | 21,218 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = v + 10; l = f + 17; j = a + 1; v = b + 1; d = j + 5; u = y + 17; m = w + 18; w = b + 18; f = n + 13; y = l + 4; s = m + 16; a = s + 5; b = 5. If b = 5, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 4 to u, which gives u = l + 21.\n2. Substitute l = f + 17 to u, which gives u = f + 38.\n3. Substitute f = n + 13 to u, which gives u = n + 51.\n4. Substitute n = v + 10 to u, which gives u = v + 61.\n5. Substitute v = b + 1 to u, which gives u = b + 62.\n6. Substitute b = 5 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 21218,
"question": "Consider a system of variables where each variable is defined as follows: n = v + 10; l = f + 17; j = a + 1; v = b + 1; d = j + 5; u = y + 17; m = w + 18; w = b + 18; f = n + 13; y = l + 4; s = m + 16; a = s + 5; b = 5. If b = 5, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 13", "h": "b + 3", "j": "h + 9", "i": "j + 12", "u": "i + 17", "p": "u + 15", "d": "c + 18", "t": "d + 14", "l": "t + 16", "a": "l + 10", "n": "a + 20", "f": "n + 1", "c": 20}, "premises": {"c": 20}, "target": "p"}, "answer": {"steps": [["u", "i + 17", "i + 32"], ["i", "j + 12", "j + 44"], ["j", "h + 9", "h + 53"], ["h", "b + 3", "b + 56"], ["b", "c + 13", "c + 69"], ["c", 20, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"c": 20}, "is_reverse": true}} | 21,219 | 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 + 16; t = d + 14; f = n + 1; h = b + 3; i = j + 12; c = 20; p = u + 15; a = l + 10; d = c + 18; n = a + 20; j = h + 9; u = i + 17; b = c + 13. If c = 20, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 17 to p, which gives p = i + 32.\n2. Substitute i = j + 12 to p, which gives p = j + 44.\n3. Substitute j = h + 9 to p, which gives p = h + 53.\n4. Substitute h = b + 3 to p, which gives p = b + 56.\n5. Substitute b = c + 13 to p, which gives p = c + 69.\n6. Substitute c = 20 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 21219,
"question": "Consider a system of variables where each variable is defined as follows: l = t + 16; t = d + 14; f = n + 1; h = b + 3; i = j + 12; c = 20; p = u + 15; a = l + 10; d = c + 18; n = a + 20; j = h + 9; u = i + 17; b = c + 13. If c = 20, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 4", "u": "i + 7", "o": "u + 8", "x": "o + 12", "p": "x + 20", "j": "p + 16", "s": "n + 12", "m": "s + 17", "c": "m + 19", "w": "c + 15", "g": "w + 5", "v": "g + 20", "n": 15}, "premises": {"n": 15}, "target": "j"}, "answer": {"steps": [["p", "x + 20", "x + 36"], ["x", "o + 12", "o + 48"], ["o", "u + 8", "u + 56"], ["u", "i + 7", "i + 63"], ["i", "n + 4", "n + 67"], ["n", 15, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"n": 15}, "is_reverse": true}} | 21,220 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = s + 17; c = m + 19; n = 15; v = g + 20; g = w + 5; p = x + 20; j = p + 16; u = i + 7; o = u + 8; i = n + 4; x = o + 12; s = n + 12; w = c + 15. Given that n = 15, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 20 to j, which gives j = x + 36.\n2. Substitute x = o + 12 to j, which gives j = o + 48.\n3. Substitute o = u + 8 to j, which gives j = u + 56.\n4. Substitute u = i + 7 to j, which gives j = i + 63.\n5. Substitute i = n + 4 to j, which gives j = n + 67.\n6. Substitute n = 15 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 21220,
"question": "Suppose a collection of variables is related by the following definitions: m = s + 17; c = m + 19; n = 15; v = g + 20; g = w + 5; p = x + 20; j = p + 16; u = i + 7; o = u + 8; i = n + 4; x = o + 12; s = n + 12; w = c + 15. Given that n = 15, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 17", "x": "h + 1", "s": "x + 3", "l": "s + 16", "u": "l + 7", "d": "u + 1", "o": "a + 13", "m": "o + 16", "b": "m + 13", "k": "b + 14", "e": "k + 1", "i": "e + 18", "a": 5}, "premises": {"a": 5}, "target": "d"}, "answer": {"steps": [["u", "l + 7", "l + 8"], ["l", "s + 16", "s + 24"], ["s", "x + 3", "x + 27"], ["x", "h + 1", "h + 28"], ["h", "a + 17", "a + 45"], ["a", 5, "50"]], "target_var_name": "d", "target_value": 50, "value_dict": {"a": 5}, "is_reverse": true}} | 21,221 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = a + 17; b = m + 13; o = a + 13; x = h + 1; m = o + 16; a = 5; u = l + 7; e = k + 1; i = e + 18; k = b + 14; l = s + 16; s = x + 3; d = u + 1. If a = 5, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 7 to d, which gives d = l + 8.\n2. Substitute l = s + 16 to d, which gives d = s + 24.\n3. Substitute s = x + 3 to d, which gives d = x + 27.\n4. Substitute x = h + 1 to d, which gives d = h + 28.\n5. Substitute h = a + 17 to d, which gives d = a + 45.\n6. Substitute a = 5 to d, which gives d = 50.\n\nThus, the final answer is d = \\boxed{50}.",
"index": 21221,
"question": "Consider a system of variables where each variable is defined as follows: h = a + 17; b = m + 13; o = a + 13; x = h + 1; m = o + 16; a = 5; u = l + 7; e = k + 1; i = e + 18; k = b + 14; l = s + 16; s = x + 3; d = u + 1. If a = 5, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 15", "y": "m + 2", "t": "y + 13", "l": "t + 6", "z": "l + 16", "e": "z + 6", "p": "r + 10", "d": "p + 14", "n": "d + 4", "w": "n + 20", "u": "w + 10", "g": "u + 7", "r": 5}, "premises": {"r": 5}, "target": "e"}, "answer": {"steps": [["z", "l + 16", "l + 22"], ["l", "t + 6", "t + 28"], ["t", "y + 13", "y + 41"], ["y", "m + 2", "m + 43"], ["m", "r + 15", "r + 58"], ["r", 5, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"r": 5}, "is_reverse": true}} | 21,222 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = r + 15; z = l + 16; e = z + 6; y = m + 2; p = r + 10; l = t + 6; n = d + 4; t = y + 13; w = n + 20; u = w + 10; g = u + 7; d = p + 14; r = 5. If r = 5, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 16 to e, which gives e = l + 22.\n2. Substitute l = t + 6 to e, which gives e = t + 28.\n3. Substitute t = y + 13 to e, which gives e = y + 41.\n4. Substitute y = m + 2 to e, which gives e = m + 43.\n5. Substitute m = r + 15 to e, which gives e = r + 58.\n6. Substitute r = 5 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 21222,
"question": "Consider a system of variables where each variable is defined as follows: m = r + 15; z = l + 16; e = z + 6; y = m + 2; p = r + 10; l = t + 6; n = d + 4; t = y + 13; w = n + 20; u = w + 10; g = u + 7; d = p + 14; r = 5. If r = 5, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 1", "f": "y + 1", "o": "f + 1", "t": "o + 1", "n": "t + 10", "h": "n + 3", "r": "d + 17", "c": "r + 3", "z": "c + 19", "l": "z + 19", "m": "l + 18", "x": "m + 20", "d": 7}, "premises": {"d": 7}, "target": "h"}, "answer": {"steps": [["n", "t + 10", "t + 13"], ["t", "o + 1", "o + 14"], ["o", "f + 1", "f + 15"], ["f", "y + 1", "y + 16"], ["y", "d + 1", "d + 17"], ["d", 7, "24"]], "target_var_name": "h", "target_value": 24, "value_dict": {"d": 7}, "is_reverse": true}} | 21,223 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = f + 1; c = r + 3; l = z + 19; y = d + 1; h = n + 3; r = d + 17; n = t + 10; t = o + 1; d = 7; z = c + 19; f = y + 1; x = m + 20; m = l + 18. Given that d = 7, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 24,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 10 to h, which gives h = t + 13.\n2. Substitute t = o + 1 to h, which gives h = o + 14.\n3. Substitute o = f + 1 to h, which gives h = f + 15.\n4. Substitute f = y + 1 to h, which gives h = y + 16.\n5. Substitute y = d + 1 to h, which gives h = d + 17.\n6. Substitute d = 7 to h, which gives h = 24.\n\nThus, the final answer is h = \\boxed{24}.",
"index": 21223,
"question": "Suppose a collection of variables is related by the following definitions: o = f + 1; c = r + 3; l = z + 19; y = d + 1; h = n + 3; r = d + 17; n = t + 10; t = o + 1; d = 7; z = c + 19; f = y + 1; x = m + 20; m = l + 18. Given that d = 7, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 4", "d": "t + 6", "n": "d + 19", "w": "n + 11", "f": "w + 6", "y": "f + 10", "u": "z + 11", "o": "u + 6", "k": "o + 9", "x": "k + 2", "m": "x + 8", "i": "m + 8", "z": 12}, "premises": {"z": 12}, "target": "y"}, "answer": {"steps": [["f", "w + 6", "w + 16"], ["w", "n + 11", "n + 27"], ["n", "d + 19", "d + 46"], ["d", "t + 6", "t + 52"], ["t", "z + 4", "z + 56"], ["z", 12, "68"]], "target_var_name": "y", "target_value": 68, "value_dict": {"z": 12}, "is_reverse": true}} | 21,224 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = x + 8; t = z + 4; u = z + 11; f = w + 6; k = o + 9; y = f + 10; i = m + 8; w = n + 11; d = t + 6; x = k + 2; o = u + 6; z = 12; n = d + 19. Given that z = 12, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 6 to y, which gives y = w + 16.\n2. Substitute w = n + 11 to y, which gives y = n + 27.\n3. Substitute n = d + 19 to y, which gives y = d + 46.\n4. Substitute d = t + 6 to y, which gives y = t + 52.\n5. Substitute t = z + 4 to y, which gives y = z + 56.\n6. Substitute z = 12 to y, which gives y = 68.\n\nThus, the final answer is y = \\boxed{68}.",
"index": 21224,
"question": "Suppose a collection of variables is related by the following definitions: m = x + 8; t = z + 4; u = z + 11; f = w + 6; k = o + 9; y = f + 10; i = m + 8; w = n + 11; d = t + 6; x = k + 2; o = u + 6; z = 12; n = d + 19. Given that z = 12, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 19", "g": "z + 13", "t": "g + 18", "p": "t + 6", "j": "p + 11", "e": "j + 8", "i": "y + 13", "d": "i + 16", "v": "d + 14", "b": "v + 6", "r": "b + 1", "q": "r + 14", "y": 9}, "premises": {"y": 9}, "target": "e"}, "answer": {"steps": [["j", "p + 11", "p + 19"], ["p", "t + 6", "t + 25"], ["t", "g + 18", "g + 43"], ["g", "z + 13", "z + 56"], ["z", "y + 19", "y + 75"], ["y", 9, "84"]], "target_var_name": "e", "target_value": 84, "value_dict": {"y": 9}, "is_reverse": true}} | 21,225 | 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 = b + 1; g = z + 13; z = y + 19; d = i + 16; y = 9; i = y + 13; t = g + 18; p = t + 6; e = j + 8; j = p + 11; q = r + 14; v = d + 14; b = v + 6. If y = 9, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 11 to e, which gives e = p + 19.\n2. Substitute p = t + 6 to e, which gives e = t + 25.\n3. Substitute t = g + 18 to e, which gives e = g + 43.\n4. Substitute g = z + 13 to e, which gives e = z + 56.\n5. Substitute z = y + 19 to e, which gives e = y + 75.\n6. Substitute y = 9 to e, which gives e = 84.\n\nThus, the final answer is e = \\boxed{84}.",
"index": 21225,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = b + 1; g = z + 13; z = y + 19; d = i + 16; y = 9; i = y + 13; t = g + 18; p = t + 6; e = j + 8; j = p + 11; q = r + 14; v = d + 14; b = v + 6. If y = 9, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 4", "c": "x + 20", "a": "c + 9", "j": "a + 2", "t": "j + 20", "n": "t + 4", "o": "w + 5", "y": "o + 20", "g": "y + 14", "m": "g + 6", "u": "m + 14", "l": "u + 9", "w": 7}, "premises": {"w": 7}, "target": "n"}, "answer": {"steps": [["t", "j + 20", "j + 24"], ["j", "a + 2", "a + 26"], ["a", "c + 9", "c + 35"], ["c", "x + 20", "x + 55"], ["x", "w + 4", "w + 59"], ["w", 7, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"w": 7}, "is_reverse": true}} | 21,226 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = w + 4; c = x + 20; w = 7; t = j + 20; y = o + 20; o = w + 5; n = t + 4; l = u + 9; m = g + 6; g = y + 14; j = a + 2; u = m + 14; a = c + 9. If w = 7, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 20 to n, which gives n = j + 24.\n2. Substitute j = a + 2 to n, which gives n = a + 26.\n3. Substitute a = c + 9 to n, which gives n = c + 35.\n4. Substitute c = x + 20 to n, which gives n = x + 55.\n5. Substitute x = w + 4 to n, which gives n = w + 59.\n6. Substitute w = 7 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 21226,
"question": "Consider a system of variables where each variable is defined as follows: x = w + 4; c = x + 20; w = 7; t = j + 20; y = o + 20; o = w + 5; n = t + 4; l = u + 9; m = g + 6; g = y + 14; j = a + 2; u = m + 14; a = c + 9. If w = 7, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"j": "a + 15", "u": "j + 14", "v": "u + 14", "s": "v + 5", "q": "s + 15", "b": "q + 12", "h": "a + 8", "l": "h + 14", "k": "l + 11", "f": "k + 20", "o": "f + 16", "z": "o + 4", "a": 12}, "premises": {"a": 12}, "target": "b"}, "answer": {"steps": [["q", "s + 15", "s + 27"], ["s", "v + 5", "v + 32"], ["v", "u + 14", "u + 46"], ["u", "j + 14", "j + 60"], ["j", "a + 15", "a + 75"], ["a", 12, "87"]], "target_var_name": "b", "target_value": 87, "value_dict": {"a": 12}, "is_reverse": true}} | 21,227 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = j + 14; h = a + 8; j = a + 15; f = k + 20; k = l + 11; q = s + 15; z = o + 4; o = f + 16; l = h + 14; a = 12; v = u + 14; s = v + 5; b = q + 12. Given that a = 12, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 15 to b, which gives b = s + 27.\n2. Substitute s = v + 5 to b, which gives b = v + 32.\n3. Substitute v = u + 14 to b, which gives b = u + 46.\n4. Substitute u = j + 14 to b, which gives b = j + 60.\n5. Substitute j = a + 15 to b, which gives b = a + 75.\n6. Substitute a = 12 to b, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 21227,
"question": "Suppose a collection of variables is related by the following definitions: u = j + 14; h = a + 8; j = a + 15; f = k + 20; k = l + 11; q = s + 15; z = o + 4; o = f + 16; l = h + 14; a = 12; v = u + 14; s = v + 5; b = q + 12. Given that a = 12, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 16", "a": "p + 10", "g": "a + 11", "j": "g + 15", "z": "j + 2", "i": "z + 2", "t": "b + 15", "q": "t + 6", "x": "q + 7", "m": "x + 3", "f": "m + 8", "c": "f + 6", "b": 9}, "premises": {"b": 9}, "target": "i"}, "answer": {"steps": [["z", "j + 2", "j + 4"], ["j", "g + 15", "g + 19"], ["g", "a + 11", "a + 30"], ["a", "p + 10", "p + 40"], ["p", "b + 16", "b + 56"], ["b", 9, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"b": 9}, "is_reverse": true}} | 21,228 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = b + 15; b = 9; m = x + 3; f = m + 8; j = g + 15; i = z + 2; z = j + 2; g = a + 11; a = p + 10; c = f + 6; x = q + 7; q = t + 6; p = b + 16. Given that b = 9, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 2 to i, which gives i = j + 4.\n2. Substitute j = g + 15 to i, which gives i = g + 19.\n3. Substitute g = a + 11 to i, which gives i = a + 30.\n4. Substitute a = p + 10 to i, which gives i = p + 40.\n5. Substitute p = b + 16 to i, which gives i = b + 56.\n6. Substitute b = 9 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 21228,
"question": "Suppose a collection of variables is related by the following definitions: t = b + 15; b = 9; m = x + 3; f = m + 8; j = g + 15; i = z + 2; z = j + 2; g = a + 11; a = p + 10; c = f + 6; x = q + 7; q = t + 6; p = b + 16. Given that b = 9, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 14", "u": "w + 12", "l": "u + 7", "z": "l + 13", "t": "z + 15", "b": "t + 7", "f": "h + 16", "c": "f + 1", "o": "c + 12", "x": "o + 2", "g": "x + 14", "k": "g + 18", "h": 8}, "premises": {"h": 8}, "target": "b"}, "answer": {"steps": [["t", "z + 15", "z + 22"], ["z", "l + 13", "l + 35"], ["l", "u + 7", "u + 42"], ["u", "w + 12", "w + 54"], ["w", "h + 14", "h + 68"], ["h", 8, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"h": 8}, "is_reverse": true}} | 21,229 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = 8; x = o + 2; w = h + 14; f = h + 16; g = x + 14; b = t + 7; z = l + 13; u = w + 12; t = z + 15; c = f + 1; o = c + 12; l = u + 7; k = g + 18. If h = 8, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 15 to b, which gives b = z + 22.\n2. Substitute z = l + 13 to b, which gives b = l + 35.\n3. Substitute l = u + 7 to b, which gives b = u + 42.\n4. Substitute u = w + 12 to b, which gives b = w + 54.\n5. Substitute w = h + 14 to b, which gives b = h + 68.\n6. Substitute h = 8 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 21229,
"question": "Consider a system of variables where each variable is defined as follows: h = 8; x = o + 2; w = h + 14; f = h + 16; g = x + 14; b = t + 7; z = l + 13; u = w + 12; t = z + 15; c = f + 1; o = c + 12; l = u + 7; k = g + 18. If h = 8, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 18", "h": "z + 18", "g": "h + 17", "b": "g + 9", "p": "b + 2", "m": "p + 16", "o": "u + 15", "j": "o + 19", "f": "j + 6", "i": "f + 1", "s": "i + 1", "r": "s + 9", "u": 10}, "premises": {"u": 10}, "target": "m"}, "answer": {"steps": [["p", "b + 2", "b + 18"], ["b", "g + 9", "g + 27"], ["g", "h + 17", "h + 44"], ["h", "z + 18", "z + 62"], ["z", "u + 18", "u + 80"], ["u", 10, "90"]], "target_var_name": "m", "target_value": 90, "value_dict": {"u": 10}, "is_reverse": true}} | 21,230 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = o + 19; i = f + 1; p = b + 2; f = j + 6; z = u + 18; u = 10; h = z + 18; m = p + 16; b = g + 9; s = i + 1; r = s + 9; o = u + 15; g = h + 17. If u = 10, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 2 to m, which gives m = b + 18.\n2. Substitute b = g + 9 to m, which gives m = g + 27.\n3. Substitute g = h + 17 to m, which gives m = h + 44.\n4. Substitute h = z + 18 to m, which gives m = z + 62.\n5. Substitute z = u + 18 to m, which gives m = u + 80.\n6. Substitute u = 10 to m, which gives m = 90.\n\nThus, the final answer is m = \\boxed{90}.",
"index": 21230,
"question": "Consider a system of variables where each variable is defined as follows: j = o + 19; i = f + 1; p = b + 2; f = j + 6; z = u + 18; u = 10; h = z + 18; m = p + 16; b = g + 9; s = i + 1; r = s + 9; o = u + 15; g = h + 17. If u = 10, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 10", "k": "t + 8", "z": "k + 2", "l": "z + 13", "r": "l + 2", "b": "r + 20", "u": "w + 10", "a": "u + 12", "c": "a + 16", "o": "c + 2", "m": "o + 8", "e": "m + 13", "w": 8}, "premises": {"w": 8}, "target": "b"}, "answer": {"steps": [["r", "l + 2", "l + 22"], ["l", "z + 13", "z + 35"], ["z", "k + 2", "k + 37"], ["k", "t + 8", "t + 45"], ["t", "w + 10", "w + 55"], ["w", 8, "63"]], "target_var_name": "b", "target_value": 63, "value_dict": {"w": 8}, "is_reverse": true}} | 21,231 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = k + 2; k = t + 8; t = w + 10; o = c + 2; b = r + 20; m = o + 8; w = 8; r = l + 2; l = z + 13; e = m + 13; u = w + 10; c = a + 16; a = u + 12. If w = 8, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 2 to b, which gives b = l + 22.\n2. Substitute l = z + 13 to b, which gives b = z + 35.\n3. Substitute z = k + 2 to b, which gives b = k + 37.\n4. Substitute k = t + 8 to b, which gives b = t + 45.\n5. Substitute t = w + 10 to b, which gives b = w + 55.\n6. Substitute w = 8 to b, which gives b = 63.\n\nThus, the final answer is b = \\boxed{63}.",
"index": 21231,
"question": "Consider a system of variables where each variable is defined as follows: z = k + 2; k = t + 8; t = w + 10; o = c + 2; b = r + 20; m = o + 8; w = 8; r = l + 2; l = z + 13; e = m + 13; u = w + 10; c = a + 16; a = u + 12. If w = 8, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 20", "w": "d + 17", "t": "w + 17", "u": "t + 10", "n": "u + 18", "y": "n + 17", "i": "v + 12", "h": "i + 19", "k": "h + 1", "a": "k + 4", "s": "a + 14", "c": "s + 19", "v": 6}, "premises": {"v": 6}, "target": "y"}, "answer": {"steps": [["n", "u + 18", "u + 35"], ["u", "t + 10", "t + 45"], ["t", "w + 17", "w + 62"], ["w", "d + 17", "d + 79"], ["d", "v + 20", "v + 99"], ["v", 6, "105"]], "target_var_name": "y", "target_value": 105, "value_dict": {"v": 6}, "is_reverse": true}} | 21,232 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = w + 17; u = t + 10; d = v + 20; h = i + 19; y = n + 17; s = a + 14; n = u + 18; c = s + 19; a = k + 4; w = d + 17; v = 6; k = h + 1; i = v + 12. If v = 6, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 18 to y, which gives y = u + 35.\n2. Substitute u = t + 10 to y, which gives y = t + 45.\n3. Substitute t = w + 17 to y, which gives y = w + 62.\n4. Substitute w = d + 17 to y, which gives y = d + 79.\n5. Substitute d = v + 20 to y, which gives y = v + 99.\n6. Substitute v = 6 to y, which gives y = 105.\n\nThus, the final answer is y = \\boxed{105}.",
"index": 21232,
"question": "Consider a system of variables where each variable is defined as follows: t = w + 17; u = t + 10; d = v + 20; h = i + 19; y = n + 17; s = a + 14; n = u + 18; c = s + 19; a = k + 4; w = d + 17; v = 6; k = h + 1; i = v + 12. If v = 6, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 9", "z": "s + 11", "e": "z + 4", "t": "e + 19", "k": "t + 2", "o": "k + 11", "d": "r + 7", "p": "d + 18", "l": "p + 4", "m": "l + 7", "i": "m + 20", "n": "i + 10", "r": 14}, "premises": {"r": 14}, "target": "o"}, "answer": {"steps": [["k", "t + 2", "t + 13"], ["t", "e + 19", "e + 32"], ["e", "z + 4", "z + 36"], ["z", "s + 11", "s + 47"], ["s", "r + 9", "r + 56"], ["r", 14, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"r": 14}, "is_reverse": true}} | 21,233 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = i + 10; p = d + 18; k = t + 2; d = r + 7; e = z + 4; t = e + 19; m = l + 7; z = s + 11; l = p + 4; s = r + 9; i = m + 20; r = 14; o = k + 11. Given that r = 14, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 2 to o, which gives o = t + 13.\n2. Substitute t = e + 19 to o, which gives o = e + 32.\n3. Substitute e = z + 4 to o, which gives o = z + 36.\n4. Substitute z = s + 11 to o, which gives o = s + 47.\n5. Substitute s = r + 9 to o, which gives o = r + 56.\n6. Substitute r = 14 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 21233,
"question": "Suppose a collection of variables is related by the following definitions: n = i + 10; p = d + 18; k = t + 2; d = r + 7; e = z + 4; t = e + 19; m = l + 7; z = s + 11; l = p + 4; s = r + 9; i = m + 20; r = 14; o = k + 11. Given that r = 14, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"n": "k + 9", "j": "n + 8", "z": "j + 10", "w": "z + 2", "d": "w + 11", "b": "d + 18", "u": "k + 8", "t": "u + 19", "s": "t + 1", "l": "s + 15", "v": "l + 14", "x": "v + 6", "k": 8}, "premises": {"k": 8}, "target": "b"}, "answer": {"steps": [["d", "w + 11", "w + 29"], ["w", "z + 2", "z + 31"], ["z", "j + 10", "j + 41"], ["j", "n + 8", "n + 49"], ["n", "k + 9", "k + 58"], ["k", 8, "66"]], "target_var_name": "b", "target_value": 66, "value_dict": {"k": 8}, "is_reverse": true}} | 21,234 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = d + 18; k = 8; j = n + 8; s = t + 1; l = s + 15; d = w + 11; z = j + 10; u = k + 8; n = k + 9; t = u + 19; v = l + 14; x = v + 6; w = z + 2. Given that k = 8, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 11 to b, which gives b = w + 29.\n2. Substitute w = z + 2 to b, which gives b = z + 31.\n3. Substitute z = j + 10 to b, which gives b = j + 41.\n4. Substitute j = n + 8 to b, which gives b = n + 49.\n5. Substitute n = k + 9 to b, which gives b = k + 58.\n6. Substitute k = 8 to b, which gives b = 66.\n\nThus, the final answer is b = \\boxed{66}.",
"index": 21234,
"question": "Suppose a collection of variables is related by the following definitions: b = d + 18; k = 8; j = n + 8; s = t + 1; l = s + 15; d = w + 11; z = j + 10; u = k + 8; n = k + 9; t = u + 19; v = l + 14; x = v + 6; w = z + 2. Given that k = 8, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 4", "f": "q + 4", "u": "f + 4", "z": "u + 7", "p": "z + 3", "r": "p + 7", "x": "o + 14", "m": "x + 13", "a": "m + 16", "y": "a + 17", "h": "y + 9", "k": "h + 18", "o": 15}, "premises": {"o": 15}, "target": "r"}, "answer": {"steps": [["p", "z + 3", "z + 10"], ["z", "u + 7", "u + 17"], ["u", "f + 4", "f + 21"], ["f", "q + 4", "q + 25"], ["q", "o + 4", "o + 29"], ["o", 15, "44"]], "target_var_name": "r", "target_value": 44, "value_dict": {"o": 15}, "is_reverse": true}} | 21,235 | 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 = a + 17; z = u + 7; h = y + 9; r = p + 7; a = m + 16; o = 15; q = o + 4; u = f + 4; k = h + 18; p = z + 3; f = q + 4; x = o + 14; m = x + 13. If o = 15, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 3 to r, which gives r = z + 10.\n2. Substitute z = u + 7 to r, which gives r = u + 17.\n3. Substitute u = f + 4 to r, which gives r = f + 21.\n4. Substitute f = q + 4 to r, which gives r = q + 25.\n5. Substitute q = o + 4 to r, which gives r = o + 29.\n6. Substitute o = 15 to r, which gives r = 44.\n\nThus, the final answer is r = \\boxed{44}.",
"index": 21235,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = a + 17; z = u + 7; h = y + 9; r = p + 7; a = m + 16; o = 15; q = o + 4; u = f + 4; k = h + 18; p = z + 3; f = q + 4; x = o + 14; m = x + 13. If o = 15, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 5", "g": "v + 10", "d": "g + 2", "t": "d + 4", "l": "t + 20", "f": "l + 14", "k": "b + 7", "a": "k + 11", "x": "a + 7", "i": "x + 5", "m": "i + 6", "s": "m + 20", "b": 16}, "premises": {"b": 16}, "target": "f"}, "answer": {"steps": [["l", "t + 20", "t + 34"], ["t", "d + 4", "d + 38"], ["d", "g + 2", "g + 40"], ["g", "v + 10", "v + 50"], ["v", "b + 5", "b + 55"], ["b", 16, "71"]], "target_var_name": "f", "target_value": 71, "value_dict": {"b": 16}, "is_reverse": true}} | 21,236 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = a + 7; t = d + 4; k = b + 7; f = l + 14; g = v + 10; m = i + 6; v = b + 5; s = m + 20; l = t + 20; i = x + 5; a = k + 11; d = g + 2; b = 16. If b = 16, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 20 to f, which gives f = t + 34.\n2. Substitute t = d + 4 to f, which gives f = d + 38.\n3. Substitute d = g + 2 to f, which gives f = g + 40.\n4. Substitute g = v + 10 to f, which gives f = v + 50.\n5. Substitute v = b + 5 to f, which gives f = b + 55.\n6. Substitute b = 16 to f, which gives f = 71.\n\nThus, the final answer is f = \\boxed{71}.",
"index": 21236,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = a + 7; t = d + 4; k = b + 7; f = l + 14; g = v + 10; m = i + 6; v = b + 5; s = m + 20; l = t + 20; i = x + 5; a = k + 11; d = g + 2; b = 16. If b = 16, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"x": "h + 20", "v": "x + 19", "r": "v + 5", "k": "r + 11", "c": "k + 15", "n": "c + 17", "q": "h + 14", "z": "q + 2", "o": "z + 18", "p": "o + 7", "m": "p + 16", "i": "m + 12", "h": 7}, "premises": {"h": 7}, "target": "n"}, "answer": {"steps": [["c", "k + 15", "k + 32"], ["k", "r + 11", "r + 43"], ["r", "v + 5", "v + 48"], ["v", "x + 19", "x + 67"], ["x", "h + 20", "h + 87"], ["h", 7, "94"]], "target_var_name": "n", "target_value": 94, "value_dict": {"h": 7}, "is_reverse": true}} | 21,237 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = r + 11; r = v + 5; x = h + 20; q = h + 14; m = p + 16; p = o + 7; z = q + 2; c = k + 15; h = 7; i = m + 12; v = x + 19; n = c + 17; o = z + 18. If h = 7, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 15 to n, which gives n = k + 32.\n2. Substitute k = r + 11 to n, which gives n = r + 43.\n3. Substitute r = v + 5 to n, which gives n = v + 48.\n4. Substitute v = x + 19 to n, which gives n = x + 67.\n5. Substitute x = h + 20 to n, which gives n = h + 87.\n6. Substitute h = 7 to n, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 21237,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 11; r = v + 5; x = h + 20; q = h + 14; m = p + 16; p = o + 7; z = q + 2; c = k + 15; h = 7; i = m + 12; v = x + 19; n = c + 17; o = z + 18. If h = 7, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 10", "n": "h + 1", "g": "n + 3", "y": "g + 17", "c": "y + 3", "a": "c + 13", "t": "m + 16", "o": "t + 1", "k": "o + 8", "s": "k + 3", "i": "s + 6", "d": "i + 10", "m": 17}, "premises": {"m": 17}, "target": "a"}, "answer": {"steps": [["c", "y + 3", "y + 16"], ["y", "g + 17", "g + 33"], ["g", "n + 3", "n + 36"], ["n", "h + 1", "h + 37"], ["h", "m + 10", "m + 47"], ["m", 17, "64"]], "target_var_name": "a", "target_value": 64, "value_dict": {"m": 17}, "is_reverse": true}} | 21,238 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = o + 8; n = h + 1; o = t + 1; c = y + 3; d = i + 10; g = n + 3; s = k + 3; i = s + 6; m = 17; a = c + 13; h = m + 10; y = g + 17; t = m + 16. If m = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 3 to a, which gives a = y + 16.\n2. Substitute y = g + 17 to a, which gives a = g + 33.\n3. Substitute g = n + 3 to a, which gives a = n + 36.\n4. Substitute n = h + 1 to a, which gives a = h + 37.\n5. Substitute h = m + 10 to a, which gives a = m + 47.\n6. Substitute m = 17 to a, which gives a = 64.\n\nThus, the final answer is a = \\boxed{64}.",
"index": 21238,
"question": "Consider a system of variables where each variable is defined as follows: k = o + 8; n = h + 1; o = t + 1; c = y + 3; d = i + 10; g = n + 3; s = k + 3; i = s + 6; m = 17; a = c + 13; h = m + 10; y = g + 17; t = m + 16. If m = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 10", "q": "j + 4", "m": "q + 18", "i": "m + 15", "v": "i + 3", "r": "v + 15", "d": "y + 3", "z": "d + 4", "b": "z + 4", "e": "b + 20", "t": "e + 3", "a": "t + 3", "y": 2}, "premises": {"y": 2}, "target": "r"}, "answer": {"steps": [["v", "i + 3", "i + 18"], ["i", "m + 15", "m + 33"], ["m", "q + 18", "q + 51"], ["q", "j + 4", "j + 55"], ["j", "y + 10", "y + 65"], ["y", 2, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"y": 2}, "is_reverse": true}} | 21,239 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = m + 15; b = z + 4; m = q + 18; z = d + 4; e = b + 20; d = y + 3; j = y + 10; q = j + 4; y = 2; t = e + 3; r = v + 15; a = t + 3; v = i + 3. Given that y = 2, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 3 to r, which gives r = i + 18.\n2. Substitute i = m + 15 to r, which gives r = m + 33.\n3. Substitute m = q + 18 to r, which gives r = q + 51.\n4. Substitute q = j + 4 to r, which gives r = j + 55.\n5. Substitute j = y + 10 to r, which gives r = y + 65.\n6. Substitute y = 2 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 21239,
"question": "Suppose a collection of variables is related by the following definitions: i = m + 15; b = z + 4; m = q + 18; z = d + 4; e = b + 20; d = y + 3; j = y + 10; q = j + 4; y = 2; t = e + 3; r = v + 15; a = t + 3; v = i + 3. Given that y = 2, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"y": "a + 12", "c": "y + 13", "d": "c + 14", "r": "d + 9", "u": "r + 19", "n": "u + 9", "b": "a + 8", "w": "b + 19", "f": "w + 3", "v": "f + 4", "g": "v + 10", "x": "g + 8", "a": 10}, "premises": {"a": 10}, "target": "n"}, "answer": {"steps": [["u", "r + 19", "r + 28"], ["r", "d + 9", "d + 37"], ["d", "c + 14", "c + 51"], ["c", "y + 13", "y + 64"], ["y", "a + 12", "a + 76"], ["a", 10, "86"]], "target_var_name": "n", "target_value": 86, "value_dict": {"a": 10}, "is_reverse": true}} | 21,240 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = c + 14; u = r + 19; n = u + 9; c = y + 13; y = a + 12; g = v + 10; r = d + 9; a = 10; f = w + 3; w = b + 19; v = f + 4; x = g + 8; b = a + 8. Given that a = 10, 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 u = r + 19 to n, which gives n = r + 28.\n2. Substitute r = d + 9 to n, which gives n = d + 37.\n3. Substitute d = c + 14 to n, which gives n = c + 51.\n4. Substitute c = y + 13 to n, which gives n = y + 64.\n5. Substitute y = a + 12 to n, which gives n = a + 76.\n6. Substitute a = 10 to n, which gives n = 86.\n\nThus, the final answer is n = \\boxed{86}.",
"index": 21240,
"question": "Suppose a collection of variables is related by the following definitions: d = c + 14; u = r + 19; n = u + 9; c = y + 13; y = a + 12; g = v + 10; r = d + 9; a = 10; f = w + 3; w = b + 19; v = f + 4; x = g + 8; b = a + 8. Given that a = 10, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 18", "p": "y + 19", "k": "p + 6", "m": "k + 13", "a": "m + 15", "v": "a + 11", "w": "l + 6", "o": "w + 18", "t": "o + 20", "g": "t + 8", "x": "g + 7", "b": "x + 8", "l": 12}, "premises": {"l": 12}, "target": "v"}, "answer": {"steps": [["a", "m + 15", "m + 26"], ["m", "k + 13", "k + 39"], ["k", "p + 6", "p + 45"], ["p", "y + 19", "y + 64"], ["y", "l + 18", "l + 82"], ["l", 12, "94"]], "target_var_name": "v", "target_value": 94, "value_dict": {"l": 12}, "is_reverse": true}} | 21,241 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = x + 8; t = o + 20; o = w + 18; y = l + 18; k = p + 6; w = l + 6; l = 12; g = t + 8; a = m + 15; p = y + 19; m = k + 13; x = g + 7; v = a + 11. If l = 12, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 15 to v, which gives v = m + 26.\n2. Substitute m = k + 13 to v, which gives v = k + 39.\n3. Substitute k = p + 6 to v, which gives v = p + 45.\n4. Substitute p = y + 19 to v, which gives v = y + 64.\n5. Substitute y = l + 18 to v, which gives v = l + 82.\n6. Substitute l = 12 to v, which gives v = 94.\n\nThus, the final answer is v = \\boxed{94}.",
"index": 21241,
"question": "Consider a system of variables where each variable is defined as follows: b = x + 8; t = o + 20; o = w + 18; y = l + 18; k = p + 6; w = l + 6; l = 12; g = t + 8; a = m + 15; p = y + 19; m = k + 13; x = g + 7; v = a + 11. If l = 12, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 20", "d": "l + 18", "i": "d + 5", "a": "i + 20", "u": "a + 19", "n": "u + 15", "x": "p + 6", "m": "x + 6", "s": "m + 13", "g": "s + 6", "w": "g + 6", "b": "w + 14", "p": 19}, "premises": {"p": 19}, "target": "n"}, "answer": {"steps": [["u", "a + 19", "a + 34"], ["a", "i + 20", "i + 54"], ["i", "d + 5", "d + 59"], ["d", "l + 18", "l + 77"], ["l", "p + 20", "p + 97"], ["p", 19, "116"]], "target_var_name": "n", "target_value": 116, "value_dict": {"p": 19}, "is_reverse": true}} | 21,242 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = m + 13; a = i + 20; l = p + 20; g = s + 6; u = a + 19; n = u + 15; i = d + 5; w = g + 6; d = l + 18; m = x + 6; b = w + 14; x = p + 6; p = 19. Given that p = 19, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 116,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 19 to n, which gives n = a + 34.\n2. Substitute a = i + 20 to n, which gives n = i + 54.\n3. Substitute i = d + 5 to n, which gives n = d + 59.\n4. Substitute d = l + 18 to n, which gives n = l + 77.\n5. Substitute l = p + 20 to n, which gives n = p + 97.\n6. Substitute p = 19 to n, which gives n = 116.\n\nThus, the final answer is n = \\boxed{116}.",
"index": 21242,
"question": "Suppose a collection of variables is related by the following definitions: s = m + 13; a = i + 20; l = p + 20; g = s + 6; u = a + 19; n = u + 15; i = d + 5; w = g + 6; d = l + 18; m = x + 6; b = w + 14; x = p + 6; p = 19. Given that p = 19, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 11", "o": "u + 11", "k": "o + 12", "v": "k + 9", "c": "v + 5", "e": "c + 11", "q": "f + 6", "g": "q + 3", "r": "g + 6", "z": "r + 20", "y": "z + 4", "b": "y + 18", "f": 6}, "premises": {"f": 6}, "target": "e"}, "answer": {"steps": [["c", "v + 5", "v + 16"], ["v", "k + 9", "k + 25"], ["k", "o + 12", "o + 37"], ["o", "u + 11", "u + 48"], ["u", "f + 11", "f + 59"], ["f", 6, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"f": 6}, "is_reverse": true}} | 21,243 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 6; v = k + 9; e = c + 11; u = f + 11; b = y + 18; z = r + 20; o = u + 11; k = o + 12; q = f + 6; g = q + 3; c = v + 5; r = g + 6; y = z + 4. Given that f = 6, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 5 to e, which gives e = v + 16.\n2. Substitute v = k + 9 to e, which gives e = k + 25.\n3. Substitute k = o + 12 to e, which gives e = o + 37.\n4. Substitute o = u + 11 to e, which gives e = u + 48.\n5. Substitute u = f + 11 to e, which gives e = f + 59.\n6. Substitute f = 6 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 21243,
"question": "Suppose a collection of variables is related by the following definitions: f = 6; v = k + 9; e = c + 11; u = f + 11; b = y + 18; z = r + 20; o = u + 11; k = o + 12; q = f + 6; g = q + 3; c = v + 5; r = g + 6; y = z + 4. Given that f = 6, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 2", "h": "c + 4", "w": "h + 5", "m": "w + 5", "a": "m + 16", "i": "a + 12", "j": "v + 3", "x": "j + 10", "l": "x + 3", "g": "l + 6", "o": "g + 7", "y": "o + 14", "v": 3}, "premises": {"v": 3}, "target": "i"}, "answer": {"steps": [["a", "m + 16", "m + 28"], ["m", "w + 5", "w + 33"], ["w", "h + 5", "h + 38"], ["h", "c + 4", "c + 42"], ["c", "v + 2", "v + 44"], ["v", 3, "47"]], "target_var_name": "i", "target_value": 47, "value_dict": {"v": 3}, "is_reverse": true}} | 21,244 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = m + 16; v = 3; h = c + 4; l = x + 3; m = w + 5; g = l + 6; c = v + 2; x = j + 10; o = g + 7; y = o + 14; j = v + 3; w = h + 5; i = a + 12. Given that v = 3, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 16 to i, which gives i = m + 28.\n2. Substitute m = w + 5 to i, which gives i = w + 33.\n3. Substitute w = h + 5 to i, which gives i = h + 38.\n4. Substitute h = c + 4 to i, which gives i = c + 42.\n5. Substitute c = v + 2 to i, which gives i = v + 44.\n6. Substitute v = 3 to i, which gives i = 47.\n\nThus, the final answer is i = \\boxed{47}.",
"index": 21244,
"question": "Suppose a collection of variables is related by the following definitions: a = m + 16; v = 3; h = c + 4; l = x + 3; m = w + 5; g = l + 6; c = v + 2; x = j + 10; o = g + 7; y = o + 14; j = v + 3; w = h + 5; i = a + 12. Given that v = 3, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 2", "f": "n + 7", "v": "f + 5", "w": "v + 8", "t": "w + 12", "j": "t + 9", "i": "d + 8", "u": "i + 2", "y": "u + 20", "a": "y + 19", "s": "a + 1", "h": "s + 16", "d": 10}, "premises": {"d": 10}, "target": "j"}, "answer": {"steps": [["t", "w + 12", "w + 21"], ["w", "v + 8", "v + 29"], ["v", "f + 5", "f + 34"], ["f", "n + 7", "n + 41"], ["n", "d + 2", "d + 43"], ["d", 10, "53"]], "target_var_name": "j", "target_value": 53, "value_dict": {"d": 10}, "is_reverse": true}} | 21,245 | 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 = 10; a = y + 19; y = u + 20; t = w + 12; j = t + 9; i = d + 8; s = a + 1; f = n + 7; h = s + 16; v = f + 5; n = d + 2; w = v + 8; u = i + 2. If d = 10, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 12 to j, which gives j = w + 21.\n2. Substitute w = v + 8 to j, which gives j = v + 29.\n3. Substitute v = f + 5 to j, which gives j = f + 34.\n4. Substitute f = n + 7 to j, which gives j = n + 41.\n5. Substitute n = d + 2 to j, which gives j = d + 43.\n6. Substitute d = 10 to j, which gives j = 53.\n\nThus, the final answer is j = \\boxed{53}.",
"index": 21245,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 10; a = y + 19; y = u + 20; t = w + 12; j = t + 9; i = d + 8; s = a + 1; f = n + 7; h = s + 16; v = f + 5; n = d + 2; w = v + 8; u = i + 2. If d = 10, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"h": "o + 5", "m": "h + 8", "n": "m + 1", "t": "n + 9", "v": "t + 13", "w": "v + 5", "e": "o + 14", "i": "e + 17", "b": "i + 4", "d": "b + 4", "a": "d + 14", "y": "a + 6", "o": 14}, "premises": {"o": 14}, "target": "w"}, "answer": {"steps": [["v", "t + 13", "t + 18"], ["t", "n + 9", "n + 27"], ["n", "m + 1", "m + 28"], ["m", "h + 8", "h + 36"], ["h", "o + 5", "o + 41"], ["o", 14, "55"]], "target_var_name": "w", "target_value": 55, "value_dict": {"o": 14}, "is_reverse": true}} | 21,246 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = 14; y = a + 6; v = t + 13; i = e + 17; a = d + 14; h = o + 5; e = o + 14; b = i + 4; n = m + 1; m = h + 8; w = v + 5; t = n + 9; d = b + 4. If o = 14, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 13 to w, which gives w = t + 18.\n2. Substitute t = n + 9 to w, which gives w = n + 27.\n3. Substitute n = m + 1 to w, which gives w = m + 28.\n4. Substitute m = h + 8 to w, which gives w = h + 36.\n5. Substitute h = o + 5 to w, which gives w = o + 41.\n6. Substitute o = 14 to w, which gives w = 55.\n\nThus, the final answer is w = \\boxed{55}.",
"index": 21246,
"question": "Consider a system of variables where each variable is defined as follows: o = 14; y = a + 6; v = t + 13; i = e + 17; a = d + 14; h = o + 5; e = o + 14; b = i + 4; n = m + 1; m = h + 8; w = v + 5; t = n + 9; d = b + 4. If o = 14, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 14", "l": "g + 7", "j": "l + 13", "z": "j + 5", "x": "z + 18", "d": "x + 8", "b": "e + 15", "f": "b + 18", "r": "f + 6", "m": "r + 2", "w": "m + 12", "q": "w + 3", "e": 14}, "premises": {"e": 14}, "target": "d"}, "answer": {"steps": [["x", "z + 18", "z + 26"], ["z", "j + 5", "j + 31"], ["j", "l + 13", "l + 44"], ["l", "g + 7", "g + 51"], ["g", "e + 14", "e + 65"], ["e", 14, "79"]], "target_var_name": "d", "target_value": 79, "value_dict": {"e": 14}, "is_reverse": true}} | 21,247 | 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 + 5; l = g + 7; d = x + 8; x = z + 18; r = f + 6; j = l + 13; g = e + 14; f = b + 18; w = m + 12; e = 14; q = w + 3; b = e + 15; m = r + 2. If e = 14, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 18 to d, which gives d = z + 26.\n2. Substitute z = j + 5 to d, which gives d = j + 31.\n3. Substitute j = l + 13 to d, which gives d = l + 44.\n4. Substitute l = g + 7 to d, which gives d = g + 51.\n5. Substitute g = e + 14 to d, which gives d = e + 65.\n6. Substitute e = 14 to d, which gives d = 79.\n\nThus, the final answer is d = \\boxed{79}.",
"index": 21247,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = j + 5; l = g + 7; d = x + 8; x = z + 18; r = f + 6; j = l + 13; g = e + 14; f = b + 18; w = m + 12; e = 14; q = w + 3; b = e + 15; m = r + 2. If e = 14, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 19", "p": "q + 11", "u": "p + 2", "r": "u + 4", "s": "r + 13", "j": "s + 1", "g": "n + 8", "v": "g + 18", "a": "v + 6", "y": "a + 8", "f": "y + 3", "b": "f + 11", "n": 12}, "premises": {"n": 12}, "target": "j"}, "answer": {"steps": [["s", "r + 13", "r + 14"], ["r", "u + 4", "u + 18"], ["u", "p + 2", "p + 20"], ["p", "q + 11", "q + 31"], ["q", "n + 19", "n + 50"], ["n", 12, "62"]], "target_var_name": "j", "target_value": 62, "value_dict": {"n": 12}, "is_reverse": true}} | 21,248 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = a + 8; a = v + 6; j = s + 1; q = n + 19; v = g + 18; g = n + 8; n = 12; p = q + 11; f = y + 3; r = u + 4; s = r + 13; b = f + 11; u = p + 2. Given that n = 12, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 13 to j, which gives j = r + 14.\n2. Substitute r = u + 4 to j, which gives j = u + 18.\n3. Substitute u = p + 2 to j, which gives j = p + 20.\n4. Substitute p = q + 11 to j, which gives j = q + 31.\n5. Substitute q = n + 19 to j, which gives j = n + 50.\n6. Substitute n = 12 to j, which gives j = 62.\n\nThus, the final answer is j = \\boxed{62}.",
"index": 21248,
"question": "Suppose a collection of variables is related by the following definitions: y = a + 8; a = v + 6; j = s + 1; q = n + 19; v = g + 18; g = n + 8; n = 12; p = q + 11; f = y + 3; r = u + 4; s = r + 13; b = f + 11; u = p + 2. Given that n = 12, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 14", "c": "v + 12", "a": "c + 19", "k": "a + 13", "b": "k + 11", "y": "b + 5", "t": "q + 18", "h": "t + 15", "w": "h + 7", "z": "w + 1", "f": "z + 13", "g": "f + 11", "q": 8}, "premises": {"q": 8}, "target": "y"}, "answer": {"steps": [["b", "k + 11", "k + 16"], ["k", "a + 13", "a + 29"], ["a", "c + 19", "c + 48"], ["c", "v + 12", "v + 60"], ["v", "q + 14", "q + 74"], ["q", 8, "82"]], "target_var_name": "y", "target_value": 82, "value_dict": {"q": 8}, "is_reverse": true}} | 21,249 | 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 = a + 13; q = 8; a = c + 19; h = t + 15; g = f + 11; v = q + 14; w = h + 7; c = v + 12; b = k + 11; y = b + 5; t = q + 18; z = w + 1; f = z + 13. If q = 8, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 11 to y, which gives y = k + 16.\n2. Substitute k = a + 13 to y, which gives y = a + 29.\n3. Substitute a = c + 19 to y, which gives y = c + 48.\n4. Substitute c = v + 12 to y, which gives y = v + 60.\n5. Substitute v = q + 14 to y, which gives y = q + 74.\n6. Substitute q = 8 to y, which gives y = 82.\n\nThus, the final answer is y = \\boxed{82}.",
"index": 21249,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 13; q = 8; a = c + 19; h = t + 15; g = f + 11; v = q + 14; w = h + 7; c = v + 12; b = k + 11; y = b + 5; t = q + 18; z = w + 1; f = z + 13. If q = 8, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 2", "y": "e + 4", "f": "y + 18", "u": "f + 12", "h": "u + 5", "z": "h + 1", "x": "i + 1", "p": "x + 18", "n": "p + 1", "c": "n + 16", "b": "c + 7", "l": "b + 5", "i": 19}, "premises": {"i": 19}, "target": "z"}, "answer": {"steps": [["h", "u + 5", "u + 6"], ["u", "f + 12", "f + 18"], ["f", "y + 18", "y + 36"], ["y", "e + 4", "e + 40"], ["e", "i + 2", "i + 42"], ["i", 19, "61"]], "target_var_name": "z", "target_value": 61, "value_dict": {"i": 19}, "is_reverse": true}} | 21,250 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = e + 4; h = u + 5; f = y + 18; b = c + 7; n = p + 1; c = n + 16; p = x + 18; i = 19; z = h + 1; l = b + 5; x = i + 1; u = f + 12; e = i + 2. Given that i = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 5 to z, which gives z = u + 6.\n2. Substitute u = f + 12 to z, which gives z = f + 18.\n3. Substitute f = y + 18 to z, which gives z = y + 36.\n4. Substitute y = e + 4 to z, which gives z = e + 40.\n5. Substitute e = i + 2 to z, which gives z = i + 42.\n6. Substitute i = 19 to z, which gives z = 61.\n\nThus, the final answer is z = \\boxed{61}.",
"index": 21250,
"question": "Suppose a collection of variables is related by the following definitions: y = e + 4; h = u + 5; f = y + 18; b = c + 7; n = p + 1; c = n + 16; p = x + 18; i = 19; z = h + 1; l = b + 5; x = i + 1; u = f + 12; e = i + 2. Given that i = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"p": "n + 9", "l": "p + 1", "s": "l + 15", "y": "s + 1", "b": "y + 10", "k": "b + 4", "m": "n + 8", "e": "m + 14", "r": "e + 7", "x": "r + 17", "d": "x + 19", "c": "d + 11", "n": 2}, "premises": {"n": 2}, "target": "k"}, "answer": {"steps": [["b", "y + 10", "y + 14"], ["y", "s + 1", "s + 15"], ["s", "l + 15", "l + 30"], ["l", "p + 1", "p + 31"], ["p", "n + 9", "n + 40"], ["n", 2, "42"]], "target_var_name": "k", "target_value": 42, "value_dict": {"n": 2}, "is_reverse": true}} | 21,251 | 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 + 17; k = b + 4; l = p + 1; r = e + 7; n = 2; c = d + 11; b = y + 10; s = l + 15; y = s + 1; p = n + 9; d = x + 19; e = m + 14; m = n + 8. If n = 2, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 10 to k, which gives k = y + 14.\n2. Substitute y = s + 1 to k, which gives k = s + 15.\n3. Substitute s = l + 15 to k, which gives k = l + 30.\n4. Substitute l = p + 1 to k, which gives k = p + 31.\n5. Substitute p = n + 9 to k, which gives k = n + 40.\n6. Substitute n = 2 to k, which gives k = 42.\n\nThus, the final answer is k = \\boxed{42}.",
"index": 21251,
"question": "Consider a system of variables where each variable is defined as follows: x = r + 17; k = b + 4; l = p + 1; r = e + 7; n = 2; c = d + 11; b = y + 10; s = l + 15; y = s + 1; p = n + 9; d = x + 19; e = m + 14; m = n + 8. If n = 2, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 4", "x": "i + 17", "w": "x + 6", "z": "w + 15", "k": "z + 14", "c": "k + 15", "j": "n + 19", "d": "j + 17", "q": "d + 18", "v": "q + 6", "g": "v + 3", "e": "g + 7", "n": 4}, "premises": {"n": 4}, "target": "c"}, "answer": {"steps": [["k", "z + 14", "z + 29"], ["z", "w + 15", "w + 44"], ["w", "x + 6", "x + 50"], ["x", "i + 17", "i + 67"], ["i", "n + 4", "n + 71"], ["n", 4, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"n": 4}, "is_reverse": true}} | 21,252 | 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 = n + 4; c = k + 15; n = 4; j = n + 19; v = q + 6; x = i + 17; w = x + 6; q = d + 18; e = g + 7; g = v + 3; z = w + 15; d = j + 17; k = z + 14. If n = 4, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 14 to c, which gives c = z + 29.\n2. Substitute z = w + 15 to c, which gives c = w + 44.\n3. Substitute w = x + 6 to c, which gives c = x + 50.\n4. Substitute x = i + 17 to c, which gives c = i + 67.\n5. Substitute i = n + 4 to c, which gives c = n + 71.\n6. Substitute n = 4 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 21252,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = n + 4; c = k + 15; n = 4; j = n + 19; v = q + 6; x = i + 17; w = x + 6; q = d + 18; e = g + 7; g = v + 3; z = w + 15; d = j + 17; k = z + 14. If n = 4, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"y": "z + 5", "x": "y + 11", "t": "x + 19", "p": "t + 15", "q": "p + 10", "a": "q + 14", "k": "z + 4", "b": "k + 3", "h": "b + 7", "e": "h + 19", "i": "e + 16", "u": "i + 15", "z": 2}, "premises": {"z": 2}, "target": "a"}, "answer": {"steps": [["q", "p + 10", "p + 24"], ["p", "t + 15", "t + 39"], ["t", "x + 19", "x + 58"], ["x", "y + 11", "y + 69"], ["y", "z + 5", "z + 74"], ["z", 2, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"z": 2}, "is_reverse": true}} | 21,253 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 11; u = i + 15; q = p + 10; h = b + 7; z = 2; y = z + 5; b = k + 3; e = h + 19; k = z + 4; t = x + 19; i = e + 16; a = q + 14; p = t + 15. If z = 2, what is the resulting 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 q = p + 10 to a, which gives a = p + 24.\n2. Substitute p = t + 15 to a, which gives a = t + 39.\n3. Substitute t = x + 19 to a, which gives a = x + 58.\n4. Substitute x = y + 11 to a, which gives a = y + 69.\n5. Substitute y = z + 5 to a, which gives a = z + 74.\n6. Substitute z = 2 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 21253,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 11; u = i + 15; q = p + 10; h = b + 7; z = 2; y = z + 5; b = k + 3; e = h + 19; k = z + 4; t = x + 19; i = e + 16; a = q + 14; p = t + 15. If z = 2, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 7", "o": "h + 8", "s": "o + 5", "e": "s + 3", "v": "e + 2", "q": "v + 9", "d": "f + 3", "b": "d + 10", "t": "b + 5", "u": "t + 10", "g": "u + 20", "y": "g + 9", "f": 16}, "premises": {"f": 16}, "target": "q"}, "answer": {"steps": [["v", "e + 2", "e + 11"], ["e", "s + 3", "s + 14"], ["s", "o + 5", "o + 19"], ["o", "h + 8", "h + 27"], ["h", "f + 7", "f + 34"], ["f", 16, "50"]], "target_var_name": "q", "target_value": 50, "value_dict": {"f": 16}, "is_reverse": true}} | 21,254 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = h + 8; s = o + 5; b = d + 10; h = f + 7; u = t + 10; g = u + 20; f = 16; y = g + 9; d = f + 3; v = e + 2; t = b + 5; q = v + 9; e = s + 3. Given that f = 16, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 2 to q, which gives q = e + 11.\n2. Substitute e = s + 3 to q, which gives q = s + 14.\n3. Substitute s = o + 5 to q, which gives q = o + 19.\n4. Substitute o = h + 8 to q, which gives q = h + 27.\n5. Substitute h = f + 7 to q, which gives q = f + 34.\n6. Substitute f = 16 to q, which gives q = 50.\n\nThus, the final answer is q = \\boxed{50}.",
"index": 21254,
"question": "Suppose a collection of variables is related by the following definitions: o = h + 8; s = o + 5; b = d + 10; h = f + 7; u = t + 10; g = u + 20; f = 16; y = g + 9; d = f + 3; v = e + 2; t = b + 5; q = v + 9; e = s + 3. Given that f = 16, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"t": "r + 10", "b": "t + 20", "z": "b + 18", "o": "z + 18", "a": "o + 10", "m": "a + 4", "p": "r + 15", "n": "p + 15", "u": "n + 16", "v": "u + 1", "e": "v + 11", "w": "e + 13", "r": 16}, "premises": {"r": 16}, "target": "m"}, "answer": {"steps": [["a", "o + 10", "o + 14"], ["o", "z + 18", "z + 32"], ["z", "b + 18", "b + 50"], ["b", "t + 20", "t + 70"], ["t", "r + 10", "r + 80"], ["r", 16, "96"]], "target_var_name": "m", "target_value": 96, "value_dict": {"r": 16}, "is_reverse": true}} | 21,255 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = n + 16; e = v + 11; w = e + 13; o = z + 18; z = b + 18; v = u + 1; p = r + 15; b = t + 20; m = a + 4; r = 16; a = o + 10; t = r + 10; n = p + 15. If r = 16, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 10 to m, which gives m = o + 14.\n2. Substitute o = z + 18 to m, which gives m = z + 32.\n3. Substitute z = b + 18 to m, which gives m = b + 50.\n4. Substitute b = t + 20 to m, which gives m = t + 70.\n5. Substitute t = r + 10 to m, which gives m = r + 80.\n6. Substitute r = 16 to m, which gives m = 96.\n\nThus, the final answer is m = \\boxed{96}.",
"index": 21255,
"question": "Consider a system of variables where each variable is defined as follows: u = n + 16; e = v + 11; w = e + 13; o = z + 18; z = b + 18; v = u + 1; p = r + 15; b = t + 20; m = a + 4; r = 16; a = o + 10; t = r + 10; n = p + 15. If r = 16, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 15", "x": "h + 14", "a": "x + 3", "i": "a + 18", "r": "i + 20", "f": "r + 6", "e": "y + 10", "m": "e + 9", "d": "m + 15", "z": "d + 12", "c": "z + 8", "k": "c + 3", "y": 3}, "premises": {"y": 3}, "target": "f"}, "answer": {"steps": [["r", "i + 20", "i + 26"], ["i", "a + 18", "a + 44"], ["a", "x + 3", "x + 47"], ["x", "h + 14", "h + 61"], ["h", "y + 15", "y + 76"], ["y", 3, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"y": 3}, "is_reverse": true}} | 21,256 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = y + 10; m = e + 9; h = y + 15; a = x + 3; f = r + 6; d = m + 15; k = c + 3; x = h + 14; r = i + 20; z = d + 12; y = 3; i = a + 18; c = z + 8. If y = 3, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 20 to f, which gives f = i + 26.\n2. Substitute i = a + 18 to f, which gives f = a + 44.\n3. Substitute a = x + 3 to f, which gives f = x + 47.\n4. Substitute x = h + 14 to f, which gives f = h + 61.\n5. Substitute h = y + 15 to f, which gives f = y + 76.\n6. Substitute y = 3 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 21256,
"question": "Consider a system of variables where each variable is defined as follows: e = y + 10; m = e + 9; h = y + 15; a = x + 3; f = r + 6; d = m + 15; k = c + 3; x = h + 14; r = i + 20; z = d + 12; y = 3; i = a + 18; c = z + 8. If y = 3, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 6", "h": "n + 14", "p": "h + 8", "f": "p + 10", "q": "f + 1", "b": "q + 7", "l": "t + 11", "m": "l + 7", "i": "m + 15", "u": "i + 4", "a": "u + 8", "w": "a + 18", "t": 8}, "premises": {"t": 8}, "target": "b"}, "answer": {"steps": [["q", "f + 1", "f + 8"], ["f", "p + 10", "p + 18"], ["p", "h + 8", "h + 26"], ["h", "n + 14", "n + 40"], ["n", "t + 6", "t + 46"], ["t", 8, "54"]], "target_var_name": "b", "target_value": 54, "value_dict": {"t": 8}, "is_reverse": true}} | 21,257 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = t + 6; h = n + 14; p = h + 8; t = 8; f = p + 10; i = m + 15; u = i + 4; m = l + 7; l = t + 11; b = q + 7; w = a + 18; a = u + 8; q = f + 1. Given that t = 8, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 1 to b, which gives b = f + 8.\n2. Substitute f = p + 10 to b, which gives b = p + 18.\n3. Substitute p = h + 8 to b, which gives b = h + 26.\n4. Substitute h = n + 14 to b, which gives b = n + 40.\n5. Substitute n = t + 6 to b, which gives b = t + 46.\n6. Substitute t = 8 to b, which gives b = 54.\n\nThus, the final answer is b = \\boxed{54}.",
"index": 21257,
"question": "Suppose a collection of variables is related by the following definitions: n = t + 6; h = n + 14; p = h + 8; t = 8; f = p + 10; i = m + 15; u = i + 4; m = l + 7; l = t + 11; b = q + 7; w = a + 18; a = u + 8; q = f + 1. Given that t = 8, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 16", "v": "f + 12", "s": "v + 2", "e": "s + 10", "h": "e + 19", "w": "h + 17", "b": "j + 16", "c": "b + 9", "x": "c + 20", "y": "x + 8", "o": "y + 11", "z": "o + 5", "j": 9}, "premises": {"j": 9}, "target": "w"}, "answer": {"steps": [["h", "e + 19", "e + 36"], ["e", "s + 10", "s + 46"], ["s", "v + 2", "v + 48"], ["v", "f + 12", "f + 60"], ["f", "j + 16", "j + 76"], ["j", 9, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"j": 9}, "is_reverse": true}} | 21,258 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = 9; f = j + 16; x = c + 20; s = v + 2; z = o + 5; h = e + 19; o = y + 11; e = s + 10; y = x + 8; b = j + 16; w = h + 17; v = f + 12; c = b + 9. If j = 9, determine 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 h = e + 19 to w, which gives w = e + 36.\n2. Substitute e = s + 10 to w, which gives w = s + 46.\n3. Substitute s = v + 2 to w, which gives w = v + 48.\n4. Substitute v = f + 12 to w, which gives w = f + 60.\n5. Substitute f = j + 16 to w, which gives w = j + 76.\n6. Substitute j = 9 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 21258,
"question": "Consider a system of variables where each variable is defined as follows: j = 9; f = j + 16; x = c + 20; s = v + 2; z = o + 5; h = e + 19; o = y + 11; e = s + 10; y = x + 8; b = j + 16; w = h + 17; v = f + 12; c = b + 9. If j = 9, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 15", "g": "w + 10", "p": "g + 11", "v": "p + 9", "q": "v + 15", "i": "q + 1", "x": "a + 18", "k": "x + 3", "b": "k + 2", "y": "b + 8", "o": "y + 7", "r": "o + 2", "a": 12}, "premises": {"a": 12}, "target": "i"}, "answer": {"steps": [["q", "v + 15", "v + 16"], ["v", "p + 9", "p + 25"], ["p", "g + 11", "g + 36"], ["g", "w + 10", "w + 46"], ["w", "a + 15", "a + 61"], ["a", 12, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"a": 12}, "is_reverse": true}} | 21,259 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = 12; y = b + 8; r = o + 2; i = q + 1; p = g + 11; q = v + 15; k = x + 3; v = p + 9; o = y + 7; x = a + 18; b = k + 2; g = w + 10; w = a + 15. Given that a = 12, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 15 to i, which gives i = v + 16.\n2. Substitute v = p + 9 to i, which gives i = p + 25.\n3. Substitute p = g + 11 to i, which gives i = g + 36.\n4. Substitute g = w + 10 to i, which gives i = w + 46.\n5. Substitute w = a + 15 to i, which gives i = a + 61.\n6. Substitute a = 12 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 21259,
"question": "Suppose a collection of variables is related by the following definitions: a = 12; y = b + 8; r = o + 2; i = q + 1; p = g + 11; q = v + 15; k = x + 3; v = p + 9; o = y + 7; x = a + 18; b = k + 2; g = w + 10; w = a + 15. Given that a = 12, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 6", "l": "t + 9", "f": "l + 15", "s": "f + 5", "b": "s + 13", "m": "b + 9", "n": "q + 4", "v": "n + 7", "x": "v + 20", "k": "x + 9", "y": "k + 16", "g": "y + 16", "q": 15}, "premises": {"q": 15}, "target": "m"}, "answer": {"steps": [["b", "s + 13", "s + 22"], ["s", "f + 5", "f + 27"], ["f", "l + 15", "l + 42"], ["l", "t + 9", "t + 51"], ["t", "q + 6", "q + 57"], ["q", 15, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"q": 15}, "is_reverse": true}} | 21,260 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = q + 6; y = k + 16; b = s + 13; x = v + 20; s = f + 5; n = q + 4; l = t + 9; m = b + 9; v = n + 7; k = x + 9; q = 15; f = l + 15; g = y + 16. Given that q = 15, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 13 to m, which gives m = s + 22.\n2. Substitute s = f + 5 to m, which gives m = f + 27.\n3. Substitute f = l + 15 to m, which gives m = l + 42.\n4. Substitute l = t + 9 to m, which gives m = t + 51.\n5. Substitute t = q + 6 to m, which gives m = q + 57.\n6. Substitute q = 15 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 21260,
"question": "Suppose a collection of variables is related by the following definitions: t = q + 6; y = k + 16; b = s + 13; x = v + 20; s = f + 5; n = q + 4; l = t + 9; m = b + 9; v = n + 7; k = x + 9; q = 15; f = l + 15; g = y + 16. Given that q = 15, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"j": "d + 6", "t": "j + 7", "u": "t + 14", "w": "u + 18", "y": "w + 18", "r": "y + 9", "q": "d + 7", "p": "q + 10", "l": "p + 8", "g": "l + 2", "i": "g + 15", "b": "i + 13", "d": 2}, "premises": {"d": 2}, "target": "r"}, "answer": {"steps": [["y", "w + 18", "w + 27"], ["w", "u + 18", "u + 45"], ["u", "t + 14", "t + 59"], ["t", "j + 7", "j + 66"], ["j", "d + 6", "d + 72"], ["d", 2, "74"]], "target_var_name": "r", "target_value": 74, "value_dict": {"d": 2}, "is_reverse": true}} | 21,261 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 6; b = i + 13; d = 2; y = w + 18; r = y + 9; t = j + 7; u = t + 14; w = u + 18; l = p + 8; i = g + 15; q = d + 7; g = l + 2; p = q + 10. If d = 2, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 18 to r, which gives r = w + 27.\n2. Substitute w = u + 18 to r, which gives r = u + 45.\n3. Substitute u = t + 14 to r, which gives r = t + 59.\n4. Substitute t = j + 7 to r, which gives r = j + 66.\n5. Substitute j = d + 6 to r, which gives r = d + 72.\n6. Substitute d = 2 to r, which gives r = 74.\n\nThus, the final answer is r = \\boxed{74}.",
"index": 21261,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 6; b = i + 13; d = 2; y = w + 18; r = y + 9; t = j + 7; u = t + 14; w = u + 18; l = p + 8; i = g + 15; q = d + 7; g = l + 2; p = q + 10. If d = 2, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"k": "i + 5", "h": "k + 17", "q": "h + 11", "y": "q + 20", "v": "y + 16", "p": "v + 4", "w": "i + 13", "z": "w + 2", "g": "z + 12", "o": "g + 12", "a": "o + 8", "f": "a + 17", "i": 18}, "premises": {"i": 18}, "target": "p"}, "answer": {"steps": [["v", "y + 16", "y + 20"], ["y", "q + 20", "q + 40"], ["q", "h + 11", "h + 51"], ["h", "k + 17", "k + 68"], ["k", "i + 5", "i + 73"], ["i", 18, "91"]], "target_var_name": "p", "target_value": 91, "value_dict": {"i": 18}, "is_reverse": true}} | 21,262 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = i + 13; p = v + 4; h = k + 17; q = h + 11; g = z + 12; o = g + 12; a = o + 8; k = i + 5; z = w + 2; y = q + 20; i = 18; v = y + 16; f = a + 17. If i = 18, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 16 to p, which gives p = y + 20.\n2. Substitute y = q + 20 to p, which gives p = q + 40.\n3. Substitute q = h + 11 to p, which gives p = h + 51.\n4. Substitute h = k + 17 to p, which gives p = k + 68.\n5. Substitute k = i + 5 to p, which gives p = i + 73.\n6. Substitute i = 18 to p, which gives p = 91.\n\nThus, the final answer is p = \\boxed{91}.",
"index": 21262,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = i + 13; p = v + 4; h = k + 17; q = h + 11; g = z + 12; o = g + 12; a = o + 8; k = i + 5; z = w + 2; y = q + 20; i = 18; v = y + 16; f = a + 17. If i = 18, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 3", "f": "w + 9", "j": "f + 17", "x": "j + 16", "l": "x + 5", "e": "l + 10", "p": "k + 11", "y": "p + 12", "q": "y + 11", "h": "q + 2", "d": "h + 15", "c": "d + 17", "k": 12}, "premises": {"k": 12}, "target": "e"}, "answer": {"steps": [["l", "x + 5", "x + 15"], ["x", "j + 16", "j + 31"], ["j", "f + 17", "f + 48"], ["f", "w + 9", "w + 57"], ["w", "k + 3", "k + 60"], ["k", 12, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"k": 12}, "is_reverse": true}} | 21,263 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 2; x = j + 16; k = 12; e = l + 10; w = k + 3; p = k + 11; f = w + 9; l = x + 5; d = h + 15; j = f + 17; c = d + 17; y = p + 12; q = y + 11. If k = 12, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 5 to e, which gives e = x + 15.\n2. Substitute x = j + 16 to e, which gives e = j + 31.\n3. Substitute j = f + 17 to e, which gives e = f + 48.\n4. Substitute f = w + 9 to e, which gives e = w + 57.\n5. Substitute w = k + 3 to e, which gives e = k + 60.\n6. Substitute k = 12 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 21263,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 2; x = j + 16; k = 12; e = l + 10; w = k + 3; p = k + 11; f = w + 9; l = x + 5; d = h + 15; j = f + 17; c = d + 17; y = p + 12; q = y + 11. If k = 12, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 3", "y": "z + 13", "l": "y + 9", "h": "l + 19", "u": "h + 2", "p": "u + 20", "o": "b + 11", "t": "o + 15", "a": "t + 19", "q": "a + 16", "i": "q + 5", "m": "i + 9", "b": 17}, "premises": {"b": 17}, "target": "p"}, "answer": {"steps": [["u", "h + 2", "h + 22"], ["h", "l + 19", "l + 41"], ["l", "y + 9", "y + 50"], ["y", "z + 13", "z + 63"], ["z", "b + 3", "b + 66"], ["b", 17, "83"]], "target_var_name": "p", "target_value": 83, "value_dict": {"b": 17}, "is_reverse": true}} | 21,264 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = q + 5; y = z + 13; b = 17; o = b + 11; p = u + 20; q = a + 16; t = o + 15; h = l + 19; u = h + 2; l = y + 9; z = b + 3; a = t + 19; m = i + 9. If b = 17, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 2 to p, which gives p = h + 22.\n2. Substitute h = l + 19 to p, which gives p = l + 41.\n3. Substitute l = y + 9 to p, which gives p = y + 50.\n4. Substitute y = z + 13 to p, which gives p = z + 63.\n5. Substitute z = b + 3 to p, which gives p = b + 66.\n6. Substitute b = 17 to p, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 21264,
"question": "Consider a system of variables where each variable is defined as follows: i = q + 5; y = z + 13; b = 17; o = b + 11; p = u + 20; q = a + 16; t = o + 15; h = l + 19; u = h + 2; l = y + 9; z = b + 3; a = t + 19; m = i + 9. If b = 17, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 1", "e": "y + 1", "a": "e + 8", "q": "a + 16", "u": "q + 3", "w": "u + 9", "h": "i + 6", "m": "h + 18", "r": "m + 4", "c": "r + 1", "z": "c + 15", "k": "z + 4", "i": 2}, "premises": {"i": 2}, "target": "w"}, "answer": {"steps": [["u", "q + 3", "q + 12"], ["q", "a + 16", "a + 28"], ["a", "e + 8", "e + 36"], ["e", "y + 1", "y + 37"], ["y", "i + 1", "i + 38"], ["i", 2, "40"]], "target_var_name": "w", "target_value": 40, "value_dict": {"i": 2}, "is_reverse": true}} | 21,265 | 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 = a + 16; z = c + 15; h = i + 6; u = q + 3; y = i + 1; i = 2; k = z + 4; r = m + 4; m = h + 18; c = r + 1; e = y + 1; w = u + 9; a = e + 8. If i = 2, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 3 to w, which gives w = q + 12.\n2. Substitute q = a + 16 to w, which gives w = a + 28.\n3. Substitute a = e + 8 to w, which gives w = e + 36.\n4. Substitute e = y + 1 to w, which gives w = y + 37.\n5. Substitute y = i + 1 to w, which gives w = i + 38.\n6. Substitute i = 2 to w, which gives w = 40.\n\nThus, the final answer is w = \\boxed{40}.",
"index": 21265,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 16; z = c + 15; h = i + 6; u = q + 3; y = i + 1; i = 2; k = z + 4; r = m + 4; m = h + 18; c = r + 1; e = y + 1; w = u + 9; a = e + 8. If i = 2, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"t": "b + 13", "w": "t + 13", "l": "w + 6", "r": "l + 19", "z": "r + 13", "f": "z + 10", "e": "b + 9", "x": "e + 4", "m": "x + 7", "y": "m + 1", "a": "y + 12", "n": "a + 12", "b": 16}, "premises": {"b": 16}, "target": "f"}, "answer": {"steps": [["z", "r + 13", "r + 23"], ["r", "l + 19", "l + 42"], ["l", "w + 6", "w + 48"], ["w", "t + 13", "t + 61"], ["t", "b + 13", "b + 74"], ["b", 16, "90"]], "target_var_name": "f", "target_value": 90, "value_dict": {"b": 16}, "is_reverse": true}} | 21,266 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = r + 13; t = b + 13; w = t + 13; y = m + 1; x = e + 4; b = 16; f = z + 10; e = b + 9; r = l + 19; m = x + 7; a = y + 12; n = a + 12; l = w + 6. If b = 16, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 13 to f, which gives f = r + 23.\n2. Substitute r = l + 19 to f, which gives f = l + 42.\n3. Substitute l = w + 6 to f, which gives f = w + 48.\n4. Substitute w = t + 13 to f, which gives f = t + 61.\n5. Substitute t = b + 13 to f, which gives f = b + 74.\n6. Substitute b = 16 to f, which gives f = 90.\n\nThus, the final answer is f = \\boxed{90}.",
"index": 21266,
"question": "Consider a system of variables where each variable is defined as follows: z = r + 13; t = b + 13; w = t + 13; y = m + 1; x = e + 4; b = 16; f = z + 10; e = b + 9; r = l + 19; m = x + 7; a = y + 12; n = a + 12; l = w + 6. If b = 16, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 6", "m": "u + 1", "p": "m + 3", "t": "p + 18", "a": "t + 10", "e": "a + 14", "d": "x + 14", "c": "d + 4", "j": "c + 11", "f": "j + 18", "v": "f + 11", "z": "v + 12", "x": 17}, "premises": {"x": 17}, "target": "e"}, "answer": {"steps": [["a", "t + 10", "t + 24"], ["t", "p + 18", "p + 42"], ["p", "m + 3", "m + 45"], ["m", "u + 1", "u + 46"], ["u", "x + 6", "x + 52"], ["x", 17, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"x": 17}, "is_reverse": true}} | 21,267 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = j + 18; a = t + 10; m = u + 1; d = x + 14; e = a + 14; j = c + 11; v = f + 11; x = 17; c = d + 4; t = p + 18; z = v + 12; p = m + 3; u = x + 6. Given that x = 17, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 10 to e, which gives e = t + 24.\n2. Substitute t = p + 18 to e, which gives e = p + 42.\n3. Substitute p = m + 3 to e, which gives e = m + 45.\n4. Substitute m = u + 1 to e, which gives e = u + 46.\n5. Substitute u = x + 6 to e, which gives e = x + 52.\n6. Substitute x = 17 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 21267,
"question": "Suppose a collection of variables is related by the following definitions: f = j + 18; a = t + 10; m = u + 1; d = x + 14; e = a + 14; j = c + 11; v = f + 11; x = 17; c = d + 4; t = p + 18; z = v + 12; p = m + 3; u = x + 6. Given that x = 17, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 15", "o": "m + 5", "v": "o + 16", "n": "v + 18", "w": "n + 3", "f": "w + 9", "x": "g + 15", "h": "x + 2", "u": "h + 15", "k": "u + 6", "e": "k + 7", "t": "e + 2", "g": 16}, "premises": {"g": 16}, "target": "f"}, "answer": {"steps": [["w", "n + 3", "n + 12"], ["n", "v + 18", "v + 30"], ["v", "o + 16", "o + 46"], ["o", "m + 5", "m + 51"], ["m", "g + 15", "g + 66"], ["g", 16, "82"]], "target_var_name": "f", "target_value": 82, "value_dict": {"g": 16}, "is_reverse": true}} | 21,268 | 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; e = k + 7; h = x + 2; k = u + 6; w = n + 3; o = m + 5; x = g + 15; v = o + 16; n = v + 18; f = w + 9; g = 16; t = e + 2; u = h + 15. If g = 16, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 3 to f, which gives f = n + 12.\n2. Substitute n = v + 18 to f, which gives f = v + 30.\n3. Substitute v = o + 16 to f, which gives f = o + 46.\n4. Substitute o = m + 5 to f, which gives f = m + 51.\n5. Substitute m = g + 15 to f, which gives f = g + 66.\n6. Substitute g = 16 to f, which gives f = 82.\n\nThus, the final answer is f = \\boxed{82}.",
"index": 21268,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = g + 15; e = k + 7; h = x + 2; k = u + 6; w = n + 3; o = m + 5; x = g + 15; v = o + 16; n = v + 18; f = w + 9; g = 16; t = e + 2; u = h + 15. If g = 16, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 20", "b": "c + 12", "l": "b + 1", "f": "l + 3", "v": "f + 18", "m": "v + 8", "t": "x + 13", "w": "t + 8", "u": "w + 18", "s": "u + 19", "p": "s + 18", "h": "p + 16", "x": 15}, "premises": {"x": 15}, "target": "m"}, "answer": {"steps": [["v", "f + 18", "f + 26"], ["f", "l + 3", "l + 29"], ["l", "b + 1", "b + 30"], ["b", "c + 12", "c + 42"], ["c", "x + 20", "x + 62"], ["x", 15, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"x": 15}, "is_reverse": true}} | 21,269 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = x + 13; x = 15; v = f + 18; m = v + 8; f = l + 3; p = s + 18; c = x + 20; w = t + 8; l = b + 1; u = w + 18; b = c + 12; s = u + 19; h = p + 16. Given that x = 15, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 18 to m, which gives m = f + 26.\n2. Substitute f = l + 3 to m, which gives m = l + 29.\n3. Substitute l = b + 1 to m, which gives m = b + 30.\n4. Substitute b = c + 12 to m, which gives m = c + 42.\n5. Substitute c = x + 20 to m, which gives m = x + 62.\n6. Substitute x = 15 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 21269,
"question": "Suppose a collection of variables is related by the following definitions: t = x + 13; x = 15; v = f + 18; m = v + 8; f = l + 3; p = s + 18; c = x + 20; w = t + 8; l = b + 1; u = w + 18; b = c + 12; s = u + 19; h = p + 16. Given that x = 15, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "b + 6", "e": "k + 20", "l": "e + 3", "x": "l + 19", "v": "x + 10", "g": "v + 4", "d": "b + 15", "j": "d + 6", "z": "j + 5", "y": "z + 13", "a": "y + 11", "r": "a + 1", "b": 5}, "premises": {"b": 5}, "target": "g"}, "answer": {"steps": [["v", "x + 10", "x + 14"], ["x", "l + 19", "l + 33"], ["l", "e + 3", "e + 36"], ["e", "k + 20", "k + 56"], ["k", "b + 6", "b + 62"], ["b", 5, "67"]], "target_var_name": "g", "target_value": 67, "value_dict": {"b": 5}, "is_reverse": true}} | 21,270 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = v + 4; a = y + 11; k = b + 6; b = 5; x = l + 19; y = z + 13; l = e + 3; j = d + 6; d = b + 15; v = x + 10; e = k + 20; r = a + 1; z = j + 5. If b = 5, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 10 to g, which gives g = x + 14.\n2. Substitute x = l + 19 to g, which gives g = l + 33.\n3. Substitute l = e + 3 to g, which gives g = e + 36.\n4. Substitute e = k + 20 to g, which gives g = k + 56.\n5. Substitute k = b + 6 to g, which gives g = b + 62.\n6. Substitute b = 5 to g, which gives g = 67.\n\nThus, the final answer is g = \\boxed{67}.",
"index": 21270,
"question": "Consider a system of variables where each variable is defined as follows: g = v + 4; a = y + 11; k = b + 6; b = 5; x = l + 19; y = z + 13; l = e + 3; j = d + 6; d = b + 15; v = x + 10; e = k + 20; r = a + 1; z = j + 5. If b = 5, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 9", "z": "f + 9", "t": "z + 13", "v": "t + 16", "q": "v + 2", "h": "q + 18", "i": "o + 4", "u": "i + 14", "x": "u + 5", "r": "x + 3", "b": "r + 4", "w": "b + 9", "o": 15}, "premises": {"o": 15}, "target": "h"}, "answer": {"steps": [["q", "v + 2", "v + 20"], ["v", "t + 16", "t + 36"], ["t", "z + 13", "z + 49"], ["z", "f + 9", "f + 58"], ["f", "o + 9", "o + 67"], ["o", 15, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"o": 15}, "is_reverse": true}} | 21,271 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = i + 14; z = f + 9; v = t + 16; w = b + 9; r = x + 3; t = z + 13; x = u + 5; o = 15; b = r + 4; q = v + 2; i = o + 4; h = q + 18; f = o + 9. Given that o = 15, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 2 to h, which gives h = v + 20.\n2. Substitute v = t + 16 to h, which gives h = t + 36.\n3. Substitute t = z + 13 to h, which gives h = z + 49.\n4. Substitute z = f + 9 to h, which gives h = f + 58.\n5. Substitute f = o + 9 to h, which gives h = o + 67.\n6. Substitute o = 15 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 21271,
"question": "Suppose a collection of variables is related by the following definitions: u = i + 14; z = f + 9; v = t + 16; w = b + 9; r = x + 3; t = z + 13; x = u + 5; o = 15; b = r + 4; q = v + 2; i = o + 4; h = q + 18; f = o + 9. Given that o = 15, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"c": "h + 3", "g": "c + 3", "m": "g + 8", "p": "m + 18", "v": "p + 1", "k": "v + 10", "w": "h + 18", "e": "w + 10", "q": "e + 13", "u": "q + 8", "x": "u + 15", "r": "x + 2", "h": 11}, "premises": {"h": 11}, "target": "k"}, "answer": {"steps": [["v", "p + 1", "p + 11"], ["p", "m + 18", "m + 29"], ["m", "g + 8", "g + 37"], ["g", "c + 3", "c + 40"], ["c", "h + 3", "h + 43"], ["h", 11, "54"]], "target_var_name": "k", "target_value": 54, "value_dict": {"h": 11}, "is_reverse": true}} | 21,272 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = g + 8; g = c + 3; u = q + 8; r = x + 2; h = 11; x = u + 15; c = h + 3; e = w + 10; p = m + 18; k = v + 10; v = p + 1; q = e + 13; w = h + 18. Given that h = 11, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 1 to k, which gives k = p + 11.\n2. Substitute p = m + 18 to k, which gives k = m + 29.\n3. Substitute m = g + 8 to k, which gives k = g + 37.\n4. Substitute g = c + 3 to k, which gives k = c + 40.\n5. Substitute c = h + 3 to k, which gives k = h + 43.\n6. Substitute h = 11 to k, which gives k = 54.\n\nThus, the final answer is k = \\boxed{54}.",
"index": 21272,
"question": "Suppose a collection of variables is related by the following definitions: m = g + 8; g = c + 3; u = q + 8; r = x + 2; h = 11; x = u + 15; c = h + 3; e = w + 10; p = m + 18; k = v + 10; v = p + 1; q = e + 13; w = h + 18. Given that h = 11, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 16", "x": "t + 15", "s": "x + 15", "a": "s + 3", "g": "a + 20", "e": "g + 2", "i": "v + 14", "w": "i + 14", "d": "w + 19", "c": "d + 2", "o": "c + 7", "f": "o + 6", "v": 14}, "premises": {"v": 14}, "target": "e"}, "answer": {"steps": [["g", "a + 20", "a + 22"], ["a", "s + 3", "s + 25"], ["s", "x + 15", "x + 40"], ["x", "t + 15", "t + 55"], ["t", "v + 16", "v + 71"], ["v", 14, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"v": 14}, "is_reverse": true}} | 21,273 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = t + 15; v = 14; i = v + 14; c = d + 2; g = a + 20; d = w + 19; e = g + 2; a = s + 3; w = i + 14; s = x + 15; f = o + 6; o = c + 7; t = v + 16. If v = 14, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 20 to e, which gives e = a + 22.\n2. Substitute a = s + 3 to e, which gives e = s + 25.\n3. Substitute s = x + 15 to e, which gives e = x + 40.\n4. Substitute x = t + 15 to e, which gives e = t + 55.\n5. Substitute t = v + 16 to e, which gives e = v + 71.\n6. Substitute v = 14 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 21273,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = t + 15; v = 14; i = v + 14; c = d + 2; g = a + 20; d = w + 19; e = g + 2; a = s + 3; w = i + 14; s = x + 15; f = o + 6; o = c + 7; t = v + 16. If v = 14, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 3", "r": "y + 15", "t": "r + 16", "s": "t + 4", "q": "s + 20", "h": "q + 1", "b": "n + 17", "z": "b + 15", "f": "z + 17", "k": "f + 3", "l": "k + 2", "j": "l + 2", "n": 5}, "premises": {"n": 5}, "target": "h"}, "answer": {"steps": [["q", "s + 20", "s + 21"], ["s", "t + 4", "t + 25"], ["t", "r + 16", "r + 41"], ["r", "y + 15", "y + 56"], ["y", "n + 3", "n + 59"], ["n", 5, "64"]], "target_var_name": "h", "target_value": 64, "value_dict": {"n": 5}, "is_reverse": true}} | 21,274 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = b + 15; b = n + 17; s = t + 4; t = r + 16; n = 5; j = l + 2; k = f + 3; h = q + 1; l = k + 2; f = z + 17; q = s + 20; y = n + 3; r = y + 15. If n = 5, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 20 to h, which gives h = s + 21.\n2. Substitute s = t + 4 to h, which gives h = t + 25.\n3. Substitute t = r + 16 to h, which gives h = r + 41.\n4. Substitute r = y + 15 to h, which gives h = y + 56.\n5. Substitute y = n + 3 to h, which gives h = n + 59.\n6. Substitute n = 5 to h, which gives h = 64.\n\nThus, the final answer is h = \\boxed{64}.",
"index": 21274,
"question": "Consider a system of variables where each variable is defined as follows: z = b + 15; b = n + 17; s = t + 4; t = r + 16; n = 5; j = l + 2; k = f + 3; h = q + 1; l = k + 2; f = z + 17; q = s + 20; y = n + 3; r = y + 15. If n = 5, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"t": "j + 15", "y": "t + 3", "i": "y + 13", "z": "i + 13", "r": "z + 4", "e": "r + 13", "o": "j + 20", "q": "o + 19", "h": "q + 8", "v": "h + 11", "g": "v + 17", "f": "g + 6", "j": 2}, "premises": {"j": 2}, "target": "e"}, "answer": {"steps": [["r", "z + 4", "z + 17"], ["z", "i + 13", "i + 30"], ["i", "y + 13", "y + 43"], ["y", "t + 3", "t + 46"], ["t", "j + 15", "j + 61"], ["j", 2, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"j": 2}, "is_reverse": true}} | 21,275 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = q + 8; e = r + 13; t = j + 15; j = 2; r = z + 4; o = j + 20; q = o + 19; g = v + 17; z = i + 13; v = h + 11; i = y + 13; y = t + 3; f = g + 6. Given that j = 2, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 4 to e, which gives e = z + 17.\n2. Substitute z = i + 13 to e, which gives e = i + 30.\n3. Substitute i = y + 13 to e, which gives e = y + 43.\n4. Substitute y = t + 3 to e, which gives e = t + 46.\n5. Substitute t = j + 15 to e, which gives e = j + 61.\n6. Substitute j = 2 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 21275,
"question": "Suppose a collection of variables is related by the following definitions: h = q + 8; e = r + 13; t = j + 15; j = 2; r = z + 4; o = j + 20; q = o + 19; g = v + 17; z = i + 13; v = h + 11; i = y + 13; y = t + 3; f = g + 6. Given that j = 2, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 9", "j": "r + 13", "p": "j + 12", "b": "p + 7", "f": "b + 9", "w": "f + 16", "s": "y + 11", "x": "s + 9", "c": "x + 16", "h": "c + 17", "g": "h + 2", "a": "g + 17", "y": 19}, "premises": {"y": 19}, "target": "w"}, "answer": {"steps": [["f", "b + 9", "b + 25"], ["b", "p + 7", "p + 32"], ["p", "j + 12", "j + 44"], ["j", "r + 13", "r + 57"], ["r", "y + 9", "y + 66"], ["y", 19, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"y": 19}, "is_reverse": true}} | 21,276 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = j + 12; h = c + 17; a = g + 17; g = h + 2; x = s + 9; c = x + 16; w = f + 16; f = b + 9; r = y + 9; y = 19; b = p + 7; s = y + 11; j = r + 13. If y = 19, determine 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 f = b + 9 to w, which gives w = b + 25.\n2. Substitute b = p + 7 to w, which gives w = p + 32.\n3. Substitute p = j + 12 to w, which gives w = j + 44.\n4. Substitute j = r + 13 to w, which gives w = r + 57.\n5. Substitute r = y + 9 to w, which gives w = y + 66.\n6. Substitute y = 19 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 21276,
"question": "Consider a system of variables where each variable is defined as follows: p = j + 12; h = c + 17; a = g + 17; g = h + 2; x = s + 9; c = x + 16; w = f + 16; f = b + 9; r = y + 9; y = 19; b = p + 7; s = y + 11; j = r + 13. If y = 19, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"c": "u + 11", "r": "c + 6", "v": "r + 11", "b": "v + 4", "z": "b + 10", "j": "z + 18", "h": "u + 16", "f": "h + 8", "w": "f + 13", "e": "w + 9", "l": "e + 16", "y": "l + 20", "u": 12}, "premises": {"u": 12}, "target": "j"}, "answer": {"steps": [["z", "b + 10", "b + 28"], ["b", "v + 4", "v + 32"], ["v", "r + 11", "r + 43"], ["r", "c + 6", "c + 49"], ["c", "u + 11", "u + 60"], ["u", 12, "72"]], "target_var_name": "j", "target_value": 72, "value_dict": {"u": 12}, "is_reverse": true}} | 21,277 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = w + 9; b = v + 4; f = h + 8; v = r + 11; h = u + 16; u = 12; y = l + 20; z = b + 10; c = u + 11; r = c + 6; w = f + 13; l = e + 16; j = z + 18. If u = 12, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 10 to j, which gives j = b + 28.\n2. Substitute b = v + 4 to j, which gives j = v + 32.\n3. Substitute v = r + 11 to j, which gives j = r + 43.\n4. Substitute r = c + 6 to j, which gives j = c + 49.\n5. Substitute c = u + 11 to j, which gives j = u + 60.\n6. Substitute u = 12 to j, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 21277,
"question": "Consider a system of variables where each variable is defined as follows: e = w + 9; b = v + 4; f = h + 8; v = r + 11; h = u + 16; u = 12; y = l + 20; z = b + 10; c = u + 11; r = c + 6; w = f + 13; l = e + 16; j = z + 18. If u = 12, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"e": "y + 2", "n": "e + 19", "q": "n + 17", "z": "q + 14", "u": "z + 3", "c": "u + 16", "v": "y + 14", "r": "v + 6", "h": "r + 17", "d": "h + 1", "x": "d + 3", "b": "x + 14", "y": 18}, "premises": {"y": 18}, "target": "c"}, "answer": {"steps": [["u", "z + 3", "z + 19"], ["z", "q + 14", "q + 33"], ["q", "n + 17", "n + 50"], ["n", "e + 19", "e + 69"], ["e", "y + 2", "y + 71"], ["y", 18, "89"]], "target_var_name": "c", "target_value": 89, "value_dict": {"y": 18}, "is_reverse": true}} | 21,278 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = z + 3; y = 18; h = r + 17; c = u + 16; n = e + 19; d = h + 1; z = q + 14; q = n + 17; b = x + 14; v = y + 14; e = y + 2; x = d + 3; r = v + 6. Given that y = 18, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 3 to c, which gives c = z + 19.\n2. Substitute z = q + 14 to c, which gives c = q + 33.\n3. Substitute q = n + 17 to c, which gives c = n + 50.\n4. Substitute n = e + 19 to c, which gives c = e + 69.\n5. Substitute e = y + 2 to c, which gives c = y + 71.\n6. Substitute y = 18 to c, which gives c = 89.\n\nThus, the final answer is c = \\boxed{89}.",
"index": 21278,
"question": "Suppose a collection of variables is related by the following definitions: u = z + 3; y = 18; h = r + 17; c = u + 16; n = e + 19; d = h + 1; z = q + 14; q = n + 17; b = x + 14; v = y + 14; e = y + 2; x = d + 3; r = v + 6. Given that y = 18, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 11", "b": "g + 5", "j": "b + 17", "y": "j + 9", "c": "y + 11", "t": "c + 5", "d": "o + 14", "m": "d + 6", "f": "m + 15", "r": "f + 9", "v": "r + 14", "h": "v + 13", "o": 1}, "premises": {"o": 1}, "target": "t"}, "answer": {"steps": [["c", "y + 11", "y + 16"], ["y", "j + 9", "j + 25"], ["j", "b + 17", "b + 42"], ["b", "g + 5", "g + 47"], ["g", "o + 11", "o + 58"], ["o", 1, "59"]], "target_var_name": "t", "target_value": 59, "value_dict": {"o": 1}, "is_reverse": true}} | 21,279 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = r + 14; c = y + 11; r = f + 9; d = o + 14; m = d + 6; h = v + 13; g = o + 11; b = g + 5; j = b + 17; f = m + 15; t = c + 5; o = 1; y = j + 9. If o = 1, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 11 to t, which gives t = y + 16.\n2. Substitute y = j + 9 to t, which gives t = j + 25.\n3. Substitute j = b + 17 to t, which gives t = b + 42.\n4. Substitute b = g + 5 to t, which gives t = g + 47.\n5. Substitute g = o + 11 to t, which gives t = o + 58.\n6. Substitute o = 1 to t, which gives t = 59.\n\nThus, the final answer is t = \\boxed{59}.",
"index": 21279,
"question": "Consider a system of variables where each variable is defined as follows: v = r + 14; c = y + 11; r = f + 9; d = o + 14; m = d + 6; h = v + 13; g = o + 11; b = g + 5; j = b + 17; f = m + 15; t = c + 5; o = 1; y = j + 9. If o = 1, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 15", "x": "a + 13", "z": "x + 9", "t": "z + 13", "s": "t + 20", "q": "s + 13", "d": "h + 20", "m": "d + 19", "e": "m + 3", "j": "e + 7", "n": "j + 18", "u": "n + 10", "h": 11}, "premises": {"h": 11}, "target": "q"}, "answer": {"steps": [["s", "t + 20", "t + 33"], ["t", "z + 13", "z + 46"], ["z", "x + 9", "x + 55"], ["x", "a + 13", "a + 68"], ["a", "h + 15", "h + 83"], ["h", 11, "94"]], "target_var_name": "q", "target_value": 94, "value_dict": {"h": 11}, "is_reverse": true}} | 21,280 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 13; d = h + 20; m = d + 19; a = h + 15; h = 11; s = t + 20; j = e + 7; n = j + 18; q = s + 13; x = a + 13; e = m + 3; z = x + 9; u = n + 10. If h = 11, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 20 to q, which gives q = t + 33.\n2. Substitute t = z + 13 to q, which gives q = z + 46.\n3. Substitute z = x + 9 to q, which gives q = x + 55.\n4. Substitute x = a + 13 to q, which gives q = a + 68.\n5. Substitute a = h + 15 to q, which gives q = h + 83.\n6. Substitute h = 11 to q, which gives q = 94.\n\nThus, the final answer is q = \\boxed{94}.",
"index": 21280,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 13; d = h + 20; m = d + 19; a = h + 15; h = 11; s = t + 20; j = e + 7; n = j + 18; q = s + 13; x = a + 13; e = m + 3; z = x + 9; u = n + 10. If h = 11, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 12", "v": "y + 10", "u": "v + 9", "g": "u + 18", "z": "g + 5", "w": "z + 20", "c": "m + 12", "q": "c + 6", "o": "q + 14", "r": "o + 7", "i": "r + 18", "x": "i + 12", "m": 11}, "premises": {"m": 11}, "target": "w"}, "answer": {"steps": [["z", "g + 5", "g + 25"], ["g", "u + 18", "u + 43"], ["u", "v + 9", "v + 52"], ["v", "y + 10", "y + 62"], ["y", "m + 12", "m + 74"], ["m", 11, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"m": 11}, "is_reverse": true}} | 21,281 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = i + 12; m = 11; w = z + 20; z = g + 5; g = u + 18; u = v + 9; v = y + 10; c = m + 12; y = m + 12; r = o + 7; i = r + 18; q = c + 6; o = q + 14. Given that m = 11, 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 z = g + 5 to w, which gives w = g + 25.\n2. Substitute g = u + 18 to w, which gives w = u + 43.\n3. Substitute u = v + 9 to w, which gives w = v + 52.\n4. Substitute v = y + 10 to w, which gives w = y + 62.\n5. Substitute y = m + 12 to w, which gives w = m + 74.\n6. Substitute m = 11 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 21281,
"question": "Suppose a collection of variables is related by the following definitions: x = i + 12; m = 11; w = z + 20; z = g + 5; g = u + 18; u = v + 9; v = y + 10; c = m + 12; y = m + 12; r = o + 7; i = r + 18; q = c + 6; o = q + 14. Given that m = 11, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 18", "u": "a + 7", "y": "u + 14", "x": "y + 15", "p": "x + 11", "t": "p + 11", "h": "r + 5", "m": "h + 17", "n": "m + 12", "v": "n + 14", "d": "v + 8", "w": "d + 17", "r": 4}, "premises": {"r": 4}, "target": "t"}, "answer": {"steps": [["p", "x + 11", "x + 22"], ["x", "y + 15", "y + 37"], ["y", "u + 14", "u + 51"], ["u", "a + 7", "a + 58"], ["a", "r + 18", "r + 76"], ["r", 4, "80"]], "target_var_name": "t", "target_value": 80, "value_dict": {"r": 4}, "is_reverse": true}} | 21,282 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 15; h = r + 5; r = 4; w = d + 17; n = m + 12; m = h + 17; v = n + 14; y = u + 14; d = v + 8; p = x + 11; u = a + 7; t = p + 11; a = r + 18. If r = 4, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 11 to t, which gives t = x + 22.\n2. Substitute x = y + 15 to t, which gives t = y + 37.\n3. Substitute y = u + 14 to t, which gives t = u + 51.\n4. Substitute u = a + 7 to t, which gives t = a + 58.\n5. Substitute a = r + 18 to t, which gives t = r + 76.\n6. Substitute r = 4 to t, which gives t = 80.\n\nThus, the final answer is t = \\boxed{80}.",
"index": 21282,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 15; h = r + 5; r = 4; w = d + 17; n = m + 12; m = h + 17; v = n + 14; y = u + 14; d = v + 8; p = x + 11; u = a + 7; t = p + 11; a = r + 18. If r = 4, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 11", "p": "a + 16", "f": "p + 12", "k": "f + 6", "m": "k + 12", "u": "m + 11", "o": "r + 10", "c": "o + 12", "h": "c + 17", "z": "h + 15", "q": "z + 19", "l": "q + 3", "r": 3}, "premises": {"r": 3}, "target": "u"}, "answer": {"steps": [["m", "k + 12", "k + 23"], ["k", "f + 6", "f + 29"], ["f", "p + 12", "p + 41"], ["p", "a + 16", "a + 57"], ["a", "r + 11", "r + 68"], ["r", 3, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"r": 3}, "is_reverse": true}} | 21,283 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 11; p = a + 16; r = 3; q = z + 19; f = p + 12; c = o + 12; a = r + 11; l = q + 3; k = f + 6; h = c + 17; o = r + 10; m = k + 12; z = h + 15. If r = 3, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 12 to u, which gives u = k + 23.\n2. Substitute k = f + 6 to u, which gives u = f + 29.\n3. Substitute f = p + 12 to u, which gives u = p + 41.\n4. Substitute p = a + 16 to u, which gives u = a + 57.\n5. Substitute a = r + 11 to u, which gives u = r + 68.\n6. Substitute r = 3 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 21283,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 11; p = a + 16; r = 3; q = z + 19; f = p + 12; c = o + 12; a = r + 11; l = q + 3; k = f + 6; h = c + 17; o = r + 10; m = k + 12; z = h + 15. If r = 3, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 4", "t": "o + 10", "l": "t + 18", "g": "l + 3", "f": "g + 3", "p": "f + 3", "e": "x + 18", "b": "e + 20", "c": "b + 18", "m": "c + 8", "s": "m + 18", "j": "s + 11", "x": 7}, "premises": {"x": 7}, "target": "p"}, "answer": {"steps": [["f", "g + 3", "g + 6"], ["g", "l + 3", "l + 9"], ["l", "t + 18", "t + 27"], ["t", "o + 10", "o + 37"], ["o", "x + 4", "x + 41"], ["x", 7, "48"]], "target_var_name": "p", "target_value": 48, "value_dict": {"x": 7}, "is_reverse": true}} | 21,284 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 7; m = c + 8; b = e + 20; o = x + 4; f = g + 3; e = x + 18; s = m + 18; l = t + 18; t = o + 10; g = l + 3; c = b + 18; p = f + 3; j = s + 11. Given that x = 7, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 3 to p, which gives p = g + 6.\n2. Substitute g = l + 3 to p, which gives p = l + 9.\n3. Substitute l = t + 18 to p, which gives p = t + 27.\n4. Substitute t = o + 10 to p, which gives p = o + 37.\n5. Substitute o = x + 4 to p, which gives p = x + 41.\n6. Substitute x = 7 to p, which gives p = 48.\n\nThus, the final answer is p = \\boxed{48}.",
"index": 21284,
"question": "Suppose a collection of variables is related by the following definitions: x = 7; m = c + 8; b = e + 20; o = x + 4; f = g + 3; e = x + 18; s = m + 18; l = t + 18; t = o + 10; g = l + 3; c = b + 18; p = f + 3; j = s + 11. Given that x = 7, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 7", "c": "p + 19", "z": "c + 4", "b": "z + 8", "t": "b + 18", "o": "t + 7", "j": "h + 20", "i": "j + 17", "a": "i + 8", "k": "a + 18", "e": "k + 20", "r": "e + 12", "h": 14}, "premises": {"h": 14}, "target": "o"}, "answer": {"steps": [["t", "b + 18", "b + 25"], ["b", "z + 8", "z + 33"], ["z", "c + 4", "c + 37"], ["c", "p + 19", "p + 56"], ["p", "h + 7", "h + 63"], ["h", 14, "77"]], "target_var_name": "o", "target_value": 77, "value_dict": {"h": 14}, "is_reverse": true}} | 21,285 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = e + 12; k = a + 18; a = i + 8; j = h + 20; e = k + 20; b = z + 8; o = t + 7; z = c + 4; h = 14; t = b + 18; p = h + 7; c = p + 19; i = j + 17. Given that h = 14, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = b + 18 to o, which gives o = b + 25.\n2. Substitute b = z + 8 to o, which gives o = z + 33.\n3. Substitute z = c + 4 to o, which gives o = c + 37.\n4. Substitute c = p + 19 to o, which gives o = p + 56.\n5. Substitute p = h + 7 to o, which gives o = h + 63.\n6. Substitute h = 14 to o, which gives o = 77.\n\nThus, the final answer is o = \\boxed{77}.",
"index": 21285,
"question": "Suppose a collection of variables is related by the following definitions: r = e + 12; k = a + 18; a = i + 8; j = h + 20; e = k + 20; b = z + 8; o = t + 7; z = c + 4; h = 14; t = b + 18; p = h + 7; c = p + 19; i = j + 17. Given that h = 14, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 10", "x": "t + 9", "h": "x + 2", "m": "h + 16", "y": "m + 1", "e": "y + 13", "q": "g + 13", "l": "q + 16", "b": "l + 12", "k": "b + 6", "j": "k + 14", "o": "j + 12", "g": 7}, "premises": {"g": 7}, "target": "e"}, "answer": {"steps": [["y", "m + 1", "m + 14"], ["m", "h + 16", "h + 30"], ["h", "x + 2", "x + 32"], ["x", "t + 9", "t + 41"], ["t", "g + 10", "g + 51"], ["g", 7, "58"]], "target_var_name": "e", "target_value": 58, "value_dict": {"g": 7}, "is_reverse": true}} | 21,286 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = x + 2; k = b + 6; t = g + 10; g = 7; x = t + 9; b = l + 12; l = q + 16; o = j + 12; y = m + 1; q = g + 13; j = k + 14; m = h + 16; e = y + 13. Given that g = 7, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 1 to e, which gives e = m + 14.\n2. Substitute m = h + 16 to e, which gives e = h + 30.\n3. Substitute h = x + 2 to e, which gives e = x + 32.\n4. Substitute x = t + 9 to e, which gives e = t + 41.\n5. Substitute t = g + 10 to e, which gives e = g + 51.\n6. Substitute g = 7 to e, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 21286,
"question": "Suppose a collection of variables is related by the following definitions: h = x + 2; k = b + 6; t = g + 10; g = 7; x = t + 9; b = l + 12; l = q + 16; o = j + 12; y = m + 1; q = g + 13; j = k + 14; m = h + 16; e = y + 13. Given that g = 7, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 12", "y": "l + 5", "t": "y + 3", "u": "t + 13", "i": "u + 8", "q": "i + 15", "d": "w + 9", "b": "d + 15", "k": "b + 5", "h": "k + 17", "j": "h + 18", "n": "j + 5", "w": 14}, "premises": {"w": 14}, "target": "q"}, "answer": {"steps": [["i", "u + 8", "u + 23"], ["u", "t + 13", "t + 36"], ["t", "y + 3", "y + 39"], ["y", "l + 5", "l + 44"], ["l", "w + 12", "w + 56"], ["w", 14, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"w": 14}, "is_reverse": true}} | 21,287 | 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 + 5; i = u + 8; q = i + 15; u = t + 13; k = b + 5; w = 14; j = h + 18; b = d + 15; t = y + 3; h = k + 17; d = w + 9; l = w + 12; y = l + 5. If w = 14, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 8 to q, which gives q = u + 23.\n2. Substitute u = t + 13 to q, which gives q = t + 36.\n3. Substitute t = y + 3 to q, which gives q = y + 39.\n4. Substitute y = l + 5 to q, which gives q = l + 44.\n5. Substitute l = w + 12 to q, which gives q = w + 56.\n6. Substitute w = 14 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 21287,
"question": "Consider a system of variables where each variable is defined as follows: n = j + 5; i = u + 8; q = i + 15; u = t + 13; k = b + 5; w = 14; j = h + 18; b = d + 15; t = y + 3; h = k + 17; d = w + 9; l = w + 12; y = l + 5. If w = 14, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 16", "v": "s + 6", "a": "v + 4", "u": "a + 7", "g": "u + 20", "h": "g + 13", "z": "f + 16", "o": "z + 2", "k": "o + 16", "x": "k + 16", "y": "x + 18", "j": "y + 16", "f": 9}, "premises": {"f": 9}, "target": "h"}, "answer": {"steps": [["g", "u + 20", "u + 33"], ["u", "a + 7", "a + 40"], ["a", "v + 4", "v + 44"], ["v", "s + 6", "s + 50"], ["s", "f + 16", "f + 66"], ["f", 9, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"f": 9}, "is_reverse": true}} | 21,288 | 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; a = v + 4; o = z + 2; g = u + 20; s = f + 16; v = s + 6; h = g + 13; u = a + 7; x = k + 16; f = 9; z = f + 16; j = y + 16; k = o + 16. If f = 9, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 20 to h, which gives h = u + 33.\n2. Substitute u = a + 7 to h, which gives h = a + 40.\n3. Substitute a = v + 4 to h, which gives h = v + 44.\n4. Substitute v = s + 6 to h, which gives h = s + 50.\n5. Substitute s = f + 16 to h, which gives h = f + 66.\n6. Substitute f = 9 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 21288,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 18; a = v + 4; o = z + 2; g = u + 20; s = f + 16; v = s + 6; h = g + 13; u = a + 7; x = k + 16; f = 9; z = f + 16; j = y + 16; k = o + 16. If f = 9, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 7", "f": "l + 2", "g": "f + 16", "w": "g + 18", "k": "w + 16", "v": "k + 5", "r": "m + 10", "o": "r + 10", "p": "o + 1", "z": "p + 15", "t": "z + 8", "c": "t + 3", "m": 15}, "premises": {"m": 15}, "target": "v"}, "answer": {"steps": [["k", "w + 16", "w + 21"], ["w", "g + 18", "g + 39"], ["g", "f + 16", "f + 55"], ["f", "l + 2", "l + 57"], ["l", "m + 7", "m + 64"], ["m", 15, "79"]], "target_var_name": "v", "target_value": 79, "value_dict": {"m": 15}, "is_reverse": true}} | 21,289 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 18; z = p + 15; l = m + 7; t = z + 8; o = r + 10; f = l + 2; k = w + 16; g = f + 16; m = 15; v = k + 5; r = m + 10; p = o + 1; c = t + 3. If m = 15, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 16 to v, which gives v = w + 21.\n2. Substitute w = g + 18 to v, which gives v = g + 39.\n3. Substitute g = f + 16 to v, which gives v = f + 55.\n4. Substitute f = l + 2 to v, which gives v = l + 57.\n5. Substitute l = m + 7 to v, which gives v = m + 64.\n6. Substitute m = 15 to v, which gives v = 79.\n\nThus, the final answer is v = \\boxed{79}.",
"index": 21289,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 18; z = p + 15; l = m + 7; t = z + 8; o = r + 10; f = l + 2; k = w + 16; g = f + 16; m = 15; v = k + 5; r = m + 10; p = o + 1; c = t + 3. If m = 15, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 12", "z": "p + 1", "u": "z + 1", "c": "u + 15", "k": "c + 2", "y": "k + 11", "a": "x + 15", "b": "a + 13", "r": "b + 17", "s": "r + 3", "q": "s + 13", "l": "q + 14", "x": 10}, "premises": {"x": 10}, "target": "y"}, "answer": {"steps": [["k", "c + 2", "c + 13"], ["c", "u + 15", "u + 28"], ["u", "z + 1", "z + 29"], ["z", "p + 1", "p + 30"], ["p", "x + 12", "x + 42"], ["x", 10, "52"]], "target_var_name": "y", "target_value": 52, "value_dict": {"x": 10}, "is_reverse": true}} | 21,290 | 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 = x + 15; l = q + 14; u = z + 1; s = r + 3; z = p + 1; q = s + 13; k = c + 2; b = a + 13; p = x + 12; y = k + 11; r = b + 17; x = 10; c = u + 15. If x = 10, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 2 to y, which gives y = c + 13.\n2. Substitute c = u + 15 to y, which gives y = u + 28.\n3. Substitute u = z + 1 to y, which gives y = z + 29.\n4. Substitute z = p + 1 to y, which gives y = p + 30.\n5. Substitute p = x + 12 to y, which gives y = x + 42.\n6. Substitute x = 10 to y, which gives y = 52.\n\nThus, the final answer is y = \\boxed{52}.",
"index": 21290,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = x + 15; l = q + 14; u = z + 1; s = r + 3; z = p + 1; q = s + 13; k = c + 2; b = a + 13; p = x + 12; y = k + 11; r = b + 17; x = 10; c = u + 15. If x = 10, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"n": "s + 2", "c": "n + 19", "p": "c + 16", "o": "p + 8", "v": "o + 18", "w": "v + 12", "u": "s + 18", "g": "u + 11", "l": "g + 20", "k": "l + 3", "f": "k + 4", "a": "f + 20", "s": 20}, "premises": {"s": 20}, "target": "w"}, "answer": {"steps": [["v", "o + 18", "o + 30"], ["o", "p + 8", "p + 38"], ["p", "c + 16", "c + 54"], ["c", "n + 19", "n + 73"], ["n", "s + 2", "s + 75"], ["s", 20, "95"]], "target_var_name": "w", "target_value": 95, "value_dict": {"s": 20}, "is_reverse": true}} | 21,291 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = k + 4; w = v + 12; u = s + 18; p = c + 16; g = u + 11; o = p + 8; c = n + 19; n = s + 2; a = f + 20; l = g + 20; k = l + 3; v = o + 18; s = 20. If s = 20, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 18 to w, which gives w = o + 30.\n2. Substitute o = p + 8 to w, which gives w = p + 38.\n3. Substitute p = c + 16 to w, which gives w = c + 54.\n4. Substitute c = n + 19 to w, which gives w = n + 73.\n5. Substitute n = s + 2 to w, which gives w = s + 75.\n6. Substitute s = 20 to w, which gives w = 95.\n\nThus, the final answer is w = \\boxed{95}.",
"index": 21291,
"question": "Consider a system of variables where each variable is defined as follows: f = k + 4; w = v + 12; u = s + 18; p = c + 16; g = u + 11; o = p + 8; c = n + 19; n = s + 2; a = f + 20; l = g + 20; k = l + 3; v = o + 18; s = 20. If s = 20, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 17", "n": "x + 18", "b": "n + 9", "e": "b + 15", "v": "e + 19", "k": "v + 11", "f": "w + 14", "l": "f + 15", "i": "l + 6", "t": "i + 20", "q": "t + 17", "u": "q + 12", "w": 8}, "premises": {"w": 8}, "target": "k"}, "answer": {"steps": [["v", "e + 19", "e + 30"], ["e", "b + 15", "b + 45"], ["b", "n + 9", "n + 54"], ["n", "x + 18", "x + 72"], ["x", "w + 17", "w + 89"], ["w", 8, "97"]], "target_var_name": "k", "target_value": 97, "value_dict": {"w": 8}, "is_reverse": true}} | 21,292 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = l + 6; f = w + 14; v = e + 19; n = x + 18; e = b + 15; t = i + 20; l = f + 15; q = t + 17; x = w + 17; u = q + 12; b = n + 9; w = 8; k = v + 11. Given that w = 8, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 19 to k, which gives k = e + 30.\n2. Substitute e = b + 15 to k, which gives k = b + 45.\n3. Substitute b = n + 9 to k, which gives k = n + 54.\n4. Substitute n = x + 18 to k, which gives k = x + 72.\n5. Substitute x = w + 17 to k, which gives k = w + 89.\n6. Substitute w = 8 to k, which gives k = 97.\n\nThus, the final answer is k = \\boxed{97}.",
"index": 21292,
"question": "Suppose a collection of variables is related by the following definitions: i = l + 6; f = w + 14; v = e + 19; n = x + 18; e = b + 15; t = i + 20; l = f + 15; q = t + 17; x = w + 17; u = q + 12; b = n + 9; w = 8; k = v + 11. Given that w = 8, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"f": "y + 1", "a": "f + 7", "e": "a + 12", "c": "e + 1", "h": "c + 18", "n": "h + 16", "o": "y + 7", "j": "o + 7", "z": "j + 13", "s": "z + 18", "b": "s + 10", "k": "b + 16", "y": 5}, "premises": {"y": 5}, "target": "n"}, "answer": {"steps": [["h", "c + 18", "c + 34"], ["c", "e + 1", "e + 35"], ["e", "a + 12", "a + 47"], ["a", "f + 7", "f + 54"], ["f", "y + 1", "y + 55"], ["y", 5, "60"]], "target_var_name": "n", "target_value": 60, "value_dict": {"y": 5}, "is_reverse": true}} | 21,293 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = o + 7; f = y + 1; e = a + 12; b = s + 10; z = j + 13; n = h + 16; h = c + 18; k = b + 16; o = y + 7; c = e + 1; y = 5; s = z + 18; a = f + 7. If y = 5, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 18 to n, which gives n = c + 34.\n2. Substitute c = e + 1 to n, which gives n = e + 35.\n3. Substitute e = a + 12 to n, which gives n = a + 47.\n4. Substitute a = f + 7 to n, which gives n = f + 54.\n5. Substitute f = y + 1 to n, which gives n = y + 55.\n6. Substitute y = 5 to n, which gives n = 60.\n\nThus, the final answer is n = \\boxed{60}.",
"index": 21293,
"question": "Consider a system of variables where each variable is defined as follows: j = o + 7; f = y + 1; e = a + 12; b = s + 10; z = j + 13; n = h + 16; h = c + 18; k = b + 16; o = y + 7; c = e + 1; y = 5; s = z + 18; a = f + 7. If y = 5, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"u": "o + 20", "j": "u + 10", "m": "j + 10", "g": "m + 1", "b": "g + 5", "s": "b + 13", "x": "o + 2", "k": "x + 10", "n": "k + 9", "z": "n + 14", "v": "z + 15", "d": "v + 1", "o": 2}, "premises": {"o": 2}, "target": "s"}, "answer": {"steps": [["b", "g + 5", "g + 18"], ["g", "m + 1", "m + 19"], ["m", "j + 10", "j + 29"], ["j", "u + 10", "u + 39"], ["u", "o + 20", "o + 59"], ["o", 2, "61"]], "target_var_name": "s", "target_value": 61, "value_dict": {"o": 2}, "is_reverse": true}} | 21,294 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = 2; k = x + 10; b = g + 5; s = b + 13; u = o + 20; g = m + 1; d = v + 1; v = z + 15; z = n + 14; j = u + 10; x = o + 2; m = j + 10; n = k + 9. If o = 2, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 5 to s, which gives s = g + 18.\n2. Substitute g = m + 1 to s, which gives s = m + 19.\n3. Substitute m = j + 10 to s, which gives s = j + 29.\n4. Substitute j = u + 10 to s, which gives s = u + 39.\n5. Substitute u = o + 20 to s, which gives s = o + 59.\n6. Substitute o = 2 to s, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 21294,
"question": "Consider a system of variables where each variable is defined as follows: o = 2; k = x + 10; b = g + 5; s = b + 13; u = o + 20; g = m + 1; d = v + 1; v = z + 15; z = n + 14; j = u + 10; x = o + 2; m = j + 10; n = k + 9. If o = 2, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 15", "m": "k + 18", "x": "m + 2", "b": "x + 16", "w": "b + 11", "y": "w + 8", "a": "g + 13", "l": "a + 16", "n": "l + 20", "v": "n + 5", "d": "v + 14", "z": "d + 10", "g": 17}, "premises": {"g": 17}, "target": "y"}, "answer": {"steps": [["w", "b + 11", "b + 19"], ["b", "x + 16", "x + 35"], ["x", "m + 2", "m + 37"], ["m", "k + 18", "k + 55"], ["k", "g + 15", "g + 70"], ["g", 17, "87"]], "target_var_name": "y", "target_value": 87, "value_dict": {"g": 17}, "is_reverse": true}} | 21,295 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = w + 8; w = b + 11; l = a + 16; g = 17; k = g + 15; n = l + 20; d = v + 14; z = d + 10; x = m + 2; v = n + 5; b = x + 16; m = k + 18; a = g + 13. If g = 17, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 11 to y, which gives y = b + 19.\n2. Substitute b = x + 16 to y, which gives y = x + 35.\n3. Substitute x = m + 2 to y, which gives y = m + 37.\n4. Substitute m = k + 18 to y, which gives y = k + 55.\n5. Substitute k = g + 15 to y, which gives y = g + 70.\n6. Substitute g = 17 to y, which gives y = 87.\n\nThus, the final answer is y = \\boxed{87}.",
"index": 21295,
"question": "Consider a system of variables where each variable is defined as follows: y = w + 8; w = b + 11; l = a + 16; g = 17; k = g + 15; n = l + 20; d = v + 14; z = d + 10; x = m + 2; v = n + 5; b = x + 16; m = k + 18; a = g + 13. If g = 17, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 3", "t": "d + 5", "p": "t + 16", "k": "p + 10", "x": "k + 17", "o": "x + 20", "w": "r + 9", "l": "w + 13", "z": "l + 17", "q": "z + 2", "c": "q + 13", "u": "c + 4", "r": 9}, "premises": {"r": 9}, "target": "o"}, "answer": {"steps": [["x", "k + 17", "k + 37"], ["k", "p + 10", "p + 47"], ["p", "t + 16", "t + 63"], ["t", "d + 5", "d + 68"], ["d", "r + 3", "r + 71"], ["r", 9, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"r": 9}, "is_reverse": true}} | 21,296 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = k + 17; t = d + 5; r = 9; k = p + 10; d = r + 3; l = w + 13; c = q + 13; w = r + 9; q = z + 2; p = t + 16; z = l + 17; u = c + 4; o = x + 20. If r = 9, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 17 to o, which gives o = k + 37.\n2. Substitute k = p + 10 to o, which gives o = p + 47.\n3. Substitute p = t + 16 to o, which gives o = t + 63.\n4. Substitute t = d + 5 to o, which gives o = d + 68.\n5. Substitute d = r + 3 to o, which gives o = r + 71.\n6. Substitute r = 9 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 21296,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = k + 17; t = d + 5; r = 9; k = p + 10; d = r + 3; l = w + 13; c = q + 13; w = r + 9; q = z + 2; p = t + 16; z = l + 17; u = c + 4; o = x + 20. If r = 9, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 20", "e": "l + 11", "x": "e + 7", "j": "x + 9", "s": "j + 4", "u": "s + 6", "h": "v + 16", "k": "h + 16", "q": "k + 3", "r": "q + 6", "o": "r + 7", "c": "o + 13", "v": 2}, "premises": {"v": 2}, "target": "u"}, "answer": {"steps": [["s", "j + 4", "j + 10"], ["j", "x + 9", "x + 19"], ["x", "e + 7", "e + 26"], ["e", "l + 11", "l + 37"], ["l", "v + 20", "v + 57"], ["v", 2, "59"]], "target_var_name": "u", "target_value": 59, "value_dict": {"v": 2}, "is_reverse": true}} | 21,297 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = v + 16; q = k + 3; j = x + 9; l = v + 20; s = j + 4; e = l + 11; u = s + 6; r = q + 6; c = o + 13; v = 2; x = e + 7; k = h + 16; o = r + 7. Given that v = 2, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 4 to u, which gives u = j + 10.\n2. Substitute j = x + 9 to u, which gives u = x + 19.\n3. Substitute x = e + 7 to u, which gives u = e + 26.\n4. Substitute e = l + 11 to u, which gives u = l + 37.\n5. Substitute l = v + 20 to u, which gives u = v + 57.\n6. Substitute v = 2 to u, which gives u = 59.\n\nThus, the final answer is u = \\boxed{59}.",
"index": 21297,
"question": "Suppose a collection of variables is related by the following definitions: h = v + 16; q = k + 3; j = x + 9; l = v + 20; s = j + 4; e = l + 11; u = s + 6; r = q + 6; c = o + 13; v = 2; x = e + 7; k = h + 16; o = r + 7. Given that v = 2, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 15", "d": "u + 19", "z": "d + 14", "t": "z + 16", "v": "t + 9", "w": "v + 6", "k": "n + 3", "b": "k + 19", "r": "b + 1", "x": "r + 1", "m": "x + 11", "g": "m + 4", "n": 16}, "premises": {"n": 16}, "target": "w"}, "answer": {"steps": [["v", "t + 9", "t + 15"], ["t", "z + 16", "z + 31"], ["z", "d + 14", "d + 45"], ["d", "u + 19", "u + 64"], ["u", "n + 15", "n + 79"], ["n", 16, "95"]], "target_var_name": "w", "target_value": 95, "value_dict": {"n": 16}, "is_reverse": true}} | 21,298 | 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 + 19; t = z + 16; n = 16; b = k + 19; g = m + 4; k = n + 3; w = v + 6; m = x + 11; x = r + 1; z = d + 14; u = n + 15; r = b + 1; v = t + 9. If n = 16, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 9 to w, which gives w = t + 15.\n2. Substitute t = z + 16 to w, which gives w = z + 31.\n3. Substitute z = d + 14 to w, which gives w = d + 45.\n4. Substitute d = u + 19 to w, which gives w = u + 64.\n5. Substitute u = n + 15 to w, which gives w = n + 79.\n6. Substitute n = 16 to w, which gives w = 95.\n\nThus, the final answer is w = \\boxed{95}.",
"index": 21298,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = u + 19; t = z + 16; n = 16; b = k + 19; g = m + 4; k = n + 3; w = v + 6; m = x + 11; x = r + 1; z = d + 14; u = n + 15; r = b + 1; v = t + 9. If n = 16, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"h": "n + 5", "d": "h + 11", "c": "d + 15", "o": "c + 7", "e": "o + 4", "p": "e + 12", "f": "n + 15", "g": "f + 17", "q": "g + 14", "l": "q + 6", "z": "l + 3", "m": "z + 17", "n": 15}, "premises": {"n": 15}, "target": "p"}, "answer": {"steps": [["e", "o + 4", "o + 16"], ["o", "c + 7", "c + 23"], ["c", "d + 15", "d + 38"], ["d", "h + 11", "h + 49"], ["h", "n + 5", "n + 54"], ["n", 15, "69"]], "target_var_name": "p", "target_value": 69, "value_dict": {"n": 15}, "is_reverse": true}} | 21,299 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = q + 6; q = g + 14; c = d + 15; d = h + 11; o = c + 7; p = e + 12; n = 15; m = z + 17; h = n + 5; f = n + 15; e = o + 4; g = f + 17; z = l + 3. Given that n = 15, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 4 to p, which gives p = o + 16.\n2. Substitute o = c + 7 to p, which gives p = c + 23.\n3. Substitute c = d + 15 to p, which gives p = d + 38.\n4. Substitute d = h + 11 to p, which gives p = h + 49.\n5. Substitute h = n + 5 to p, which gives p = n + 54.\n6. Substitute n = 15 to p, which gives p = 69.\n\nThus, the final answer is p = \\boxed{69}.",
"index": 21299,
"question": "Suppose a collection of variables is related by the following definitions: l = q + 6; q = g + 14; c = d + 15; d = h + 11; o = c + 7; p = e + 12; n = 15; m = z + 17; h = n + 5; f = n + 15; e = o + 4; g = f + 17; z = l + 3. Given that n = 15, find the value of p.",
"split": "train"
} |
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