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": {"c": "y + 6", "p": "c + 11", "w": "p + 2", "v": "w + 9", "r": "v + 10", "e": "r + 19", "d": "y + 8", "l": "d + 8", "o": "l + 18", "j": "o + 1", "h": "j + 19", "a": "h + 19", "y": 3}, "premises": {"y": 3}, "target": "e"}, "answer": {"steps": [["r", "v + 10", "v + 29"], ["v", "w + 9", "w + 38"], ["w", "p + 2", "p + 40"], ["p", "c + 11", "c + 51"], ["c", "y + 6", "y + 57"], ["y", 3, "60"]], "target_var_name": "e", "target_value": 60, "value_dict": {"y": 3}, "is_reverse": true}} | 21,300 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = l + 18; a = h + 19; v = w + 9; l = d + 8; y = 3; j = o + 1; c = y + 6; e = r + 19; w = p + 2; h = j + 19; d = y + 8; p = c + 11; r = v + 10. Given that y = 3, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 10 to e, which gives e = v + 29.\n2. Substitute v = w + 9 to e, which gives e = w + 38.\n3. Substitute w = p + 2 to e, which gives e = p + 40.\n4. Substitute p = c + 11 to e, which gives e = c + 51.\n5. Substitute c = y + 6 to e, which gives e = y + 57.\n6. Substitute y = 3 to e, which gives e = 60.\n\nThus, the final answer is e = \\boxed{60}.",
"index": 21300,
"question": "Suppose a collection of variables is related by the following definitions: o = l + 18; a = h + 19; v = w + 9; l = d + 8; y = 3; j = o + 1; c = y + 6; e = r + 19; w = p + 2; h = j + 19; d = y + 8; p = c + 11; r = v + 10. Given that y = 3, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"b": "k + 14", "t": "b + 7", "d": "t + 17", "p": "d + 1", "y": "p + 13", "i": "y + 19", "f": "k + 7", "m": "f + 5", "w": "m + 8", "e": "w + 16", "g": "e + 6", "v": "g + 16", "k": 6}, "premises": {"k": 6}, "target": "i"}, "answer": {"steps": [["y", "p + 13", "p + 32"], ["p", "d + 1", "d + 33"], ["d", "t + 17", "t + 50"], ["t", "b + 7", "b + 57"], ["b", "k + 14", "k + 71"], ["k", 6, "77"]], "target_var_name": "i", "target_value": 77, "value_dict": {"k": 6}, "is_reverse": true}} | 21,301 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = g + 16; b = k + 14; p = d + 1; f = k + 7; e = w + 16; w = m + 8; i = y + 19; m = f + 5; y = p + 13; g = e + 6; k = 6; d = t + 17; t = b + 7. If k = 6, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 13 to i, which gives i = p + 32.\n2. Substitute p = d + 1 to i, which gives i = d + 33.\n3. Substitute d = t + 17 to i, which gives i = t + 50.\n4. Substitute t = b + 7 to i, which gives i = b + 57.\n5. Substitute b = k + 14 to i, which gives i = k + 71.\n6. Substitute k = 6 to i, which gives i = 77.\n\nThus, the final answer is i = \\boxed{77}.",
"index": 21301,
"question": "Consider a system of variables where each variable is defined as follows: v = g + 16; b = k + 14; p = d + 1; f = k + 7; e = w + 16; w = m + 8; i = y + 19; m = f + 5; y = p + 13; g = e + 6; k = 6; d = t + 17; t = b + 7. If k = 6, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"e": "w + 15", "k": "e + 5", "t": "k + 7", "z": "t + 7", "x": "z + 15", "s": "x + 3", "f": "w + 5", "h": "f + 16", "m": "h + 3", "o": "m + 18", "r": "o + 2", "l": "r + 12", "w": 4}, "premises": {"w": 4}, "target": "s"}, "answer": {"steps": [["x", "z + 15", "z + 18"], ["z", "t + 7", "t + 25"], ["t", "k + 7", "k + 32"], ["k", "e + 5", "e + 37"], ["e", "w + 15", "w + 52"], ["w", 4, "56"]], "target_var_name": "s", "target_value": 56, "value_dict": {"w": 4}, "is_reverse": true}} | 21,302 | 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 = e + 5; o = m + 18; e = w + 15; t = k + 7; r = o + 2; l = r + 12; s = x + 3; m = h + 3; h = f + 16; x = z + 15; w = 4; z = t + 7; f = w + 5. If w = 4, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 15 to s, which gives s = z + 18.\n2. Substitute z = t + 7 to s, which gives s = t + 25.\n3. Substitute t = k + 7 to s, which gives s = k + 32.\n4. Substitute k = e + 5 to s, which gives s = e + 37.\n5. Substitute e = w + 15 to s, which gives s = w + 52.\n6. Substitute w = 4 to s, which gives s = 56.\n\nThus, the final answer is s = \\boxed{56}.",
"index": 21302,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 5; o = m + 18; e = w + 15; t = k + 7; r = o + 2; l = r + 12; s = x + 3; m = h + 3; h = f + 16; x = z + 15; w = 4; z = t + 7; f = w + 5. If w = 4, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"u": "g + 2", "t": "u + 5", "w": "t + 13", "y": "w + 8", "e": "y + 1", "c": "e + 1", "l": "g + 17", "h": "l + 11", "i": "h + 7", "d": "i + 10", "m": "d + 6", "k": "m + 4", "g": 1}, "premises": {"g": 1}, "target": "c"}, "answer": {"steps": [["e", "y + 1", "y + 2"], ["y", "w + 8", "w + 10"], ["w", "t + 13", "t + 23"], ["t", "u + 5", "u + 28"], ["u", "g + 2", "g + 30"], ["g", 1, "31"]], "target_var_name": "c", "target_value": 31, "value_dict": {"g": 1}, "is_reverse": true}} | 21,303 | 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 = l + 11; e = y + 1; i = h + 7; g = 1; w = t + 13; c = e + 1; t = u + 5; k = m + 4; d = i + 10; m = d + 6; u = g + 2; y = w + 8; l = g + 17. If g = 1, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 31,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 1 to c, which gives c = y + 2.\n2. Substitute y = w + 8 to c, which gives c = w + 10.\n3. Substitute w = t + 13 to c, which gives c = t + 23.\n4. Substitute t = u + 5 to c, which gives c = u + 28.\n5. Substitute u = g + 2 to c, which gives c = g + 30.\n6. Substitute g = 1 to c, which gives c = 31.\n\nThus, the final answer is c = \\boxed{31}.",
"index": 21303,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = l + 11; e = y + 1; i = h + 7; g = 1; w = t + 13; c = e + 1; t = u + 5; k = m + 4; d = i + 10; m = d + 6; u = g + 2; y = w + 8; l = g + 17. If g = 1, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 12", "t": "x + 2", "d": "t + 8", "z": "d + 17", "v": "z + 5", "p": "v + 11", "e": "r + 3", "j": "e + 15", "i": "j + 16", "g": "i + 5", "s": "g + 7", "h": "s + 17", "r": 17}, "premises": {"r": 17}, "target": "p"}, "answer": {"steps": [["v", "z + 5", "z + 16"], ["z", "d + 17", "d + 33"], ["d", "t + 8", "t + 41"], ["t", "x + 2", "x + 43"], ["x", "r + 12", "r + 55"], ["r", 17, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"r": 17}, "is_reverse": true}} | 21,304 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = d + 17; x = r + 12; g = i + 5; d = t + 8; p = v + 11; j = e + 15; i = j + 16; r = 17; s = g + 7; t = x + 2; v = z + 5; h = s + 17; e = r + 3. If r = 17, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 5 to p, which gives p = z + 16.\n2. Substitute z = d + 17 to p, which gives p = d + 33.\n3. Substitute d = t + 8 to p, which gives p = t + 41.\n4. Substitute t = x + 2 to p, which gives p = x + 43.\n5. Substitute x = r + 12 to p, which gives p = r + 55.\n6. Substitute r = 17 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 21304,
"question": "Consider a system of variables where each variable is defined as follows: z = d + 17; x = r + 12; g = i + 5; d = t + 8; p = v + 11; j = e + 15; i = j + 16; r = 17; s = g + 7; t = x + 2; v = z + 5; h = s + 17; e = r + 3. If r = 17, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 4", "f": "q + 9", "a": "f + 3", "u": "a + 7", "t": "u + 9", "k": "t + 3", "l": "i + 19", "y": "l + 15", "s": "y + 7", "b": "s + 6", "m": "b + 20", "e": "m + 6", "i": 6}, "premises": {"i": 6}, "target": "k"}, "answer": {"steps": [["t", "u + 9", "u + 12"], ["u", "a + 7", "a + 19"], ["a", "f + 3", "f + 22"], ["f", "q + 9", "q + 31"], ["q", "i + 4", "i + 35"], ["i", 6, "41"]], "target_var_name": "k", "target_value": 41, "value_dict": {"i": 6}, "is_reverse": true}} | 21,305 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = i + 4; y = l + 15; i = 6; u = a + 7; m = b + 20; b = s + 6; e = m + 6; a = f + 3; l = i + 19; s = y + 7; k = t + 3; f = q + 9; t = u + 9. Given that i = 6, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 9 to k, which gives k = u + 12.\n2. Substitute u = a + 7 to k, which gives k = a + 19.\n3. Substitute a = f + 3 to k, which gives k = f + 22.\n4. Substitute f = q + 9 to k, which gives k = q + 31.\n5. Substitute q = i + 4 to k, which gives k = i + 35.\n6. Substitute i = 6 to k, which gives k = 41.\n\nThus, the final answer is k = \\boxed{41}.",
"index": 21305,
"question": "Suppose a collection of variables is related by the following definitions: q = i + 4; y = l + 15; i = 6; u = a + 7; m = b + 20; b = s + 6; e = m + 6; a = f + 3; l = i + 19; s = y + 7; k = t + 3; f = q + 9; t = u + 9. Given that i = 6, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 1", "f": "l + 11", "c": "f + 10", "w": "c + 9", "p": "w + 2", "g": "p + 4", "s": "y + 5", "u": "s + 11", "m": "u + 11", "t": "m + 15", "a": "t + 16", "o": "a + 17", "y": 12}, "premises": {"y": 12}, "target": "g"}, "answer": {"steps": [["p", "w + 2", "w + 6"], ["w", "c + 9", "c + 15"], ["c", "f + 10", "f + 25"], ["f", "l + 11", "l + 36"], ["l", "y + 1", "y + 37"], ["y", 12, "49"]], "target_var_name": "g", "target_value": 49, "value_dict": {"y": 12}, "is_reverse": true}} | 21,306 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = m + 15; a = t + 16; s = y + 5; f = l + 11; m = u + 11; o = a + 17; y = 12; c = f + 10; w = c + 9; u = s + 11; l = y + 1; p = w + 2; g = p + 4. If y = 12, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 2 to g, which gives g = w + 6.\n2. Substitute w = c + 9 to g, which gives g = c + 15.\n3. Substitute c = f + 10 to g, which gives g = f + 25.\n4. Substitute f = l + 11 to g, which gives g = l + 36.\n5. Substitute l = y + 1 to g, which gives g = y + 37.\n6. Substitute y = 12 to g, which gives g = 49.\n\nThus, the final answer is g = \\boxed{49}.",
"index": 21306,
"question": "Consider a system of variables where each variable is defined as follows: t = m + 15; a = t + 16; s = y + 5; f = l + 11; m = u + 11; o = a + 17; y = 12; c = f + 10; w = c + 9; u = s + 11; l = y + 1; p = w + 2; g = p + 4. If y = 12, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 5", "r": "q + 16", "t": "r + 6", "m": "t + 17", "e": "m + 8", "p": "e + 15", "o": "i + 2", "a": "o + 17", "s": "a + 14", "x": "s + 18", "j": "x + 13", "c": "j + 18", "i": 7}, "premises": {"i": 7}, "target": "p"}, "answer": {"steps": [["e", "m + 8", "m + 23"], ["m", "t + 17", "t + 40"], ["t", "r + 6", "r + 46"], ["r", "q + 16", "q + 62"], ["q", "i + 5", "i + 67"], ["i", 7, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"i": 7}, "is_reverse": true}} | 21,307 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = m + 8; a = o + 17; i = 7; q = i + 5; x = s + 18; s = a + 14; m = t + 17; r = q + 16; c = j + 18; t = r + 6; o = i + 2; j = x + 13; p = e + 15. If i = 7, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 8 to p, which gives p = m + 23.\n2. Substitute m = t + 17 to p, which gives p = t + 40.\n3. Substitute t = r + 6 to p, which gives p = r + 46.\n4. Substitute r = q + 16 to p, which gives p = q + 62.\n5. Substitute q = i + 5 to p, which gives p = i + 67.\n6. Substitute i = 7 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 21307,
"question": "Consider a system of variables where each variable is defined as follows: e = m + 8; a = o + 17; i = 7; q = i + 5; x = s + 18; s = a + 14; m = t + 17; r = q + 16; c = j + 18; t = r + 6; o = i + 2; j = x + 13; p = e + 15. If i = 7, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 8", "o": "d + 4", "r": "o + 10", "u": "r + 7", "b": "u + 18", "j": "b + 9", "z": "l + 18", "a": "z + 7", "s": "a + 14", "c": "s + 17", "e": "c + 15", "x": "e + 6", "l": 12}, "premises": {"l": 12}, "target": "j"}, "answer": {"steps": [["b", "u + 18", "u + 27"], ["u", "r + 7", "r + 34"], ["r", "o + 10", "o + 44"], ["o", "d + 4", "d + 48"], ["d", "l + 8", "l + 56"], ["l", 12, "68"]], "target_var_name": "j", "target_value": 68, "value_dict": {"l": 12}, "is_reverse": true}} | 21,308 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = l + 8; c = s + 17; s = a + 14; x = e + 6; o = d + 4; z = l + 18; a = z + 7; j = b + 9; u = r + 7; b = u + 18; r = o + 10; l = 12; e = c + 15. If l = 12, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 18 to j, which gives j = u + 27.\n2. Substitute u = r + 7 to j, which gives j = r + 34.\n3. Substitute r = o + 10 to j, which gives j = o + 44.\n4. Substitute o = d + 4 to j, which gives j = d + 48.\n5. Substitute d = l + 8 to j, which gives j = l + 56.\n6. Substitute l = 12 to j, which gives j = 68.\n\nThus, the final answer is j = \\boxed{68}.",
"index": 21308,
"question": "Consider a system of variables where each variable is defined as follows: d = l + 8; c = s + 17; s = a + 14; x = e + 6; o = d + 4; z = l + 18; a = z + 7; j = b + 9; u = r + 7; b = u + 18; r = o + 10; l = 12; e = c + 15. If l = 12, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 14", "z": "j + 2", "a": "z + 8", "p": "a + 2", "y": "p + 5", "f": "y + 13", "w": "x + 10", "b": "w + 15", "r": "b + 12", "o": "r + 8", "h": "o + 19", "e": "h + 3", "x": 2}, "premises": {"x": 2}, "target": "f"}, "answer": {"steps": [["y", "p + 5", "p + 18"], ["p", "a + 2", "a + 20"], ["a", "z + 8", "z + 28"], ["z", "j + 2", "j + 30"], ["j", "x + 14", "x + 44"], ["x", 2, "46"]], "target_var_name": "f", "target_value": 46, "value_dict": {"x": 2}, "is_reverse": true}} | 21,309 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = y + 13; p = a + 2; w = x + 10; x = 2; y = p + 5; j = x + 14; z = j + 2; o = r + 8; h = o + 19; r = b + 12; b = w + 15; e = h + 3; a = z + 8. If x = 2, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 5 to f, which gives f = p + 18.\n2. Substitute p = a + 2 to f, which gives f = a + 20.\n3. Substitute a = z + 8 to f, which gives f = z + 28.\n4. Substitute z = j + 2 to f, which gives f = j + 30.\n5. Substitute j = x + 14 to f, which gives f = x + 44.\n6. Substitute x = 2 to f, which gives f = 46.\n\nThus, the final answer is f = \\boxed{46}.",
"index": 21309,
"question": "Consider a system of variables where each variable is defined as follows: f = y + 13; p = a + 2; w = x + 10; x = 2; y = p + 5; j = x + 14; z = j + 2; o = r + 8; h = o + 19; r = b + 12; b = w + 15; e = h + 3; a = z + 8. If x = 2, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 13", "i": "s + 5", "h": "i + 15", "w": "h + 5", "l": "w + 19", "y": "l + 14", "t": "u + 7", "o": "t + 12", "z": "o + 10", "c": "z + 16", "b": "c + 4", "m": "b + 19", "u": 10}, "premises": {"u": 10}, "target": "y"}, "answer": {"steps": [["l", "w + 19", "w + 33"], ["w", "h + 5", "h + 38"], ["h", "i + 15", "i + 53"], ["i", "s + 5", "s + 58"], ["s", "u + 13", "u + 71"], ["u", 10, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"u": 10}, "is_reverse": true}} | 21,310 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 16; z = o + 10; o = t + 12; s = u + 13; h = i + 15; t = u + 7; w = h + 5; i = s + 5; u = 10; b = c + 4; y = l + 14; m = b + 19; l = w + 19. If u = 10, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 19 to y, which gives y = w + 33.\n2. Substitute w = h + 5 to y, which gives y = h + 38.\n3. Substitute h = i + 15 to y, which gives y = i + 53.\n4. Substitute i = s + 5 to y, which gives y = s + 58.\n5. Substitute s = u + 13 to y, which gives y = u + 71.\n6. Substitute u = 10 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 21310,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 16; z = o + 10; o = t + 12; s = u + 13; h = i + 15; t = u + 7; w = h + 5; i = s + 5; u = 10; b = c + 4; y = l + 14; m = b + 19; l = w + 19. If u = 10, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 1", "q": "c + 5", "f": "q + 6", "y": "f + 20", "g": "y + 11", "j": "g + 1", "a": "x + 18", "s": "a + 2", "u": "s + 19", "r": "u + 1", "o": "r + 14", "t": "o + 18", "x": 13}, "premises": {"x": 13}, "target": "j"}, "answer": {"steps": [["g", "y + 11", "y + 12"], ["y", "f + 20", "f + 32"], ["f", "q + 6", "q + 38"], ["q", "c + 5", "c + 43"], ["c", "x + 1", "x + 44"], ["x", 13, "57"]], "target_var_name": "j", "target_value": 57, "value_dict": {"x": 13}, "is_reverse": true}} | 21,311 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = x + 18; c = x + 1; x = 13; f = q + 6; g = y + 11; y = f + 20; u = s + 19; o = r + 14; t = o + 18; r = u + 1; s = a + 2; q = c + 5; j = g + 1. If x = 13, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 11 to j, which gives j = y + 12.\n2. Substitute y = f + 20 to j, which gives j = f + 32.\n3. Substitute f = q + 6 to j, which gives j = q + 38.\n4. Substitute q = c + 5 to j, which gives j = c + 43.\n5. Substitute c = x + 1 to j, which gives j = x + 44.\n6. Substitute x = 13 to j, which gives j = 57.\n\nThus, the final answer is j = \\boxed{57}.",
"index": 21311,
"question": "Consider a system of variables where each variable is defined as follows: a = x + 18; c = x + 1; x = 13; f = q + 6; g = y + 11; y = f + 20; u = s + 19; o = r + 14; t = o + 18; r = u + 1; s = a + 2; q = c + 5; j = g + 1. If x = 13, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "z + 7", "v": "m + 19", "w": "v + 19", "f": "w + 1", "y": "f + 16", "r": "y + 3", "g": "z + 10", "s": "g + 6", "q": "s + 2", "e": "q + 7", "x": "e + 20", "a": "x + 1", "z": 5}, "premises": {"z": 5}, "target": "r"}, "answer": {"steps": [["y", "f + 16", "f + 19"], ["f", "w + 1", "w + 20"], ["w", "v + 19", "v + 39"], ["v", "m + 19", "m + 58"], ["m", "z + 7", "z + 65"], ["z", 5, "70"]], "target_var_name": "r", "target_value": 70, "value_dict": {"z": 5}, "is_reverse": true}} | 21,312 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 10; y = f + 16; x = e + 20; a = x + 1; w = v + 19; m = z + 7; e = q + 7; q = s + 2; v = m + 19; r = y + 3; s = g + 6; z = 5; f = w + 1. Given that z = 5, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 16 to r, which gives r = f + 19.\n2. Substitute f = w + 1 to r, which gives r = w + 20.\n3. Substitute w = v + 19 to r, which gives r = v + 39.\n4. Substitute v = m + 19 to r, which gives r = m + 58.\n5. Substitute m = z + 7 to r, which gives r = z + 65.\n6. Substitute z = 5 to r, which gives r = 70.\n\nThus, the final answer is r = \\boxed{70}.",
"index": 21312,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 10; y = f + 16; x = e + 20; a = x + 1; w = v + 19; m = z + 7; e = q + 7; q = s + 2; v = m + 19; r = y + 3; s = g + 6; z = 5; f = w + 1. Given that z = 5, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 13", "o": "t + 11", "w": "o + 5", "j": "w + 2", "h": "j + 15", "z": "h + 4", "c": "x + 17", "n": "c + 3", "f": "n + 8", "e": "f + 19", "y": "e + 14", "l": "y + 10", "x": 13}, "premises": {"x": 13}, "target": "z"}, "answer": {"steps": [["h", "j + 15", "j + 19"], ["j", "w + 2", "w + 21"], ["w", "o + 5", "o + 26"], ["o", "t + 11", "t + 37"], ["t", "x + 13", "x + 50"], ["x", 13, "63"]], "target_var_name": "z", "target_value": 63, "value_dict": {"x": 13}, "is_reverse": true}} | 21,313 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = x + 17; t = x + 13; n = c + 3; e = f + 19; w = o + 5; y = e + 14; j = w + 2; l = y + 10; x = 13; z = h + 4; o = t + 11; h = j + 15; f = n + 8. If x = 13, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 15 to z, which gives z = j + 19.\n2. Substitute j = w + 2 to z, which gives z = w + 21.\n3. Substitute w = o + 5 to z, which gives z = o + 26.\n4. Substitute o = t + 11 to z, which gives z = t + 37.\n5. Substitute t = x + 13 to z, which gives z = x + 50.\n6. Substitute x = 13 to z, which gives z = 63.\n\nThus, the final answer is z = \\boxed{63}.",
"index": 21313,
"question": "Consider a system of variables where each variable is defined as follows: c = x + 17; t = x + 13; n = c + 3; e = f + 19; w = o + 5; y = e + 14; j = w + 2; l = y + 10; x = 13; z = h + 4; o = t + 11; h = j + 15; f = n + 8. If x = 13, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 19", "c": "u + 18", "w": "c + 2", "g": "w + 8", "j": "g + 16", "r": "j + 6", "i": "b + 16", "y": "i + 6", "a": "y + 20", "p": "a + 19", "s": "p + 15", "d": "s + 16", "b": 6}, "premises": {"b": 6}, "target": "r"}, "answer": {"steps": [["j", "g + 16", "g + 22"], ["g", "w + 8", "w + 30"], ["w", "c + 2", "c + 32"], ["c", "u + 18", "u + 50"], ["u", "b + 19", "b + 69"], ["b", 6, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"b": 6}, "is_reverse": true}} | 21,314 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = y + 20; j = g + 16; u = b + 19; d = s + 16; p = a + 19; b = 6; s = p + 15; y = i + 6; c = u + 18; i = b + 16; g = w + 8; r = j + 6; w = c + 2. Given that b = 6, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 16 to r, which gives r = g + 22.\n2. Substitute g = w + 8 to r, which gives r = w + 30.\n3. Substitute w = c + 2 to r, which gives r = c + 32.\n4. Substitute c = u + 18 to r, which gives r = u + 50.\n5. Substitute u = b + 19 to r, which gives r = b + 69.\n6. Substitute b = 6 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 21314,
"question": "Suppose a collection of variables is related by the following definitions: a = y + 20; j = g + 16; u = b + 19; d = s + 16; p = a + 19; b = 6; s = p + 15; y = i + 6; c = u + 18; i = b + 16; g = w + 8; r = j + 6; w = c + 2. Given that b = 6, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 6", "a": "s + 9", "j": "a + 18", "w": "j + 11", "l": "w + 14", "b": "l + 12", "n": "y + 14", "g": "n + 18", "z": "g + 19", "f": "z + 8", "u": "f + 6", "v": "u + 10", "y": 6}, "premises": {"y": 6}, "target": "b"}, "answer": {"steps": [["l", "w + 14", "w + 26"], ["w", "j + 11", "j + 37"], ["j", "a + 18", "a + 55"], ["a", "s + 9", "s + 64"], ["s", "y + 6", "y + 70"], ["y", 6, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"y": 6}, "is_reverse": true}} | 21,315 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = l + 12; f = z + 8; l = w + 14; z = g + 19; u = f + 6; y = 6; j = a + 18; g = n + 18; a = s + 9; v = u + 10; w = j + 11; s = y + 6; n = y + 14. Given that y = 6, find 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 l = w + 14 to b, which gives b = w + 26.\n2. Substitute w = j + 11 to b, which gives b = j + 37.\n3. Substitute j = a + 18 to b, which gives b = a + 55.\n4. Substitute a = s + 9 to b, which gives b = s + 64.\n5. Substitute s = y + 6 to b, which gives b = y + 70.\n6. Substitute y = 6 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 21315,
"question": "Suppose a collection of variables is related by the following definitions: b = l + 12; f = z + 8; l = w + 14; z = g + 19; u = f + 6; y = 6; j = a + 18; g = n + 18; a = s + 9; v = u + 10; w = j + 11; s = y + 6; n = y + 14. Given that y = 6, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 10", "c": "u + 16", "o": "c + 19", "y": "o + 9", "w": "y + 20", "n": "w + 15", "f": "b + 9", "i": "f + 18", "a": "i + 5", "e": "a + 12", "p": "e + 20", "v": "p + 9", "b": 4}, "premises": {"b": 4}, "target": "n"}, "answer": {"steps": [["w", "y + 20", "y + 35"], ["y", "o + 9", "o + 44"], ["o", "c + 19", "c + 63"], ["c", "u + 16", "u + 79"], ["u", "b + 10", "b + 89"], ["b", 4, "93"]], "target_var_name": "n", "target_value": 93, "value_dict": {"b": 4}, "is_reverse": true}} | 21,316 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = 4; y = o + 9; f = b + 9; w = y + 20; u = b + 10; o = c + 19; p = e + 20; c = u + 16; e = a + 12; n = w + 15; v = p + 9; a = i + 5; i = f + 18. If b = 4, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 20 to n, which gives n = y + 35.\n2. Substitute y = o + 9 to n, which gives n = o + 44.\n3. Substitute o = c + 19 to n, which gives n = c + 63.\n4. Substitute c = u + 16 to n, which gives n = u + 79.\n5. Substitute u = b + 10 to n, which gives n = b + 89.\n6. Substitute b = 4 to n, which gives n = 93.\n\nThus, the final answer is n = \\boxed{93}.",
"index": 21316,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = 4; y = o + 9; f = b + 9; w = y + 20; u = b + 10; o = c + 19; p = e + 20; c = u + 16; e = a + 12; n = w + 15; v = p + 9; a = i + 5; i = f + 18. If b = 4, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 9", "m": "e + 12", "l": "m + 8", "y": "l + 9", "q": "y + 12", "h": "q + 3", "i": "j + 6", "w": "i + 2", "d": "w + 8", "x": "d + 1", "s": "x + 8", "p": "s + 9", "j": 7}, "premises": {"j": 7}, "target": "h"}, "answer": {"steps": [["q", "y + 12", "y + 15"], ["y", "l + 9", "l + 24"], ["l", "m + 8", "m + 32"], ["m", "e + 12", "e + 44"], ["e", "j + 9", "j + 53"], ["j", 7, "60"]], "target_var_name": "h", "target_value": 60, "value_dict": {"j": 7}, "is_reverse": true}} | 21,317 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = j + 9; l = m + 8; j = 7; s = x + 8; y = l + 9; i = j + 6; h = q + 3; p = s + 9; d = w + 8; x = d + 1; w = i + 2; m = e + 12; q = y + 12. Given that j = 7, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 12 to h, which gives h = y + 15.\n2. Substitute y = l + 9 to h, which gives h = l + 24.\n3. Substitute l = m + 8 to h, which gives h = m + 32.\n4. Substitute m = e + 12 to h, which gives h = e + 44.\n5. Substitute e = j + 9 to h, which gives h = j + 53.\n6. Substitute j = 7 to h, which gives h = 60.\n\nThus, the final answer is h = \\boxed{60}.",
"index": 21317,
"question": "Suppose a collection of variables is related by the following definitions: e = j + 9; l = m + 8; j = 7; s = x + 8; y = l + 9; i = j + 6; h = q + 3; p = s + 9; d = w + 8; x = d + 1; w = i + 2; m = e + 12; q = y + 12. Given that j = 7, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 14", "m": "s + 3", "q": "m + 13", "c": "q + 1", "r": "c + 16", "d": "r + 1", "u": "n + 8", "i": "u + 2", "a": "i + 16", "e": "a + 6", "k": "e + 20", "z": "k + 6", "n": 13}, "premises": {"n": 13}, "target": "d"}, "answer": {"steps": [["r", "c + 16", "c + 17"], ["c", "q + 1", "q + 18"], ["q", "m + 13", "m + 31"], ["m", "s + 3", "s + 34"], ["s", "n + 14", "n + 48"], ["n", 13, "61"]], "target_var_name": "d", "target_value": 61, "value_dict": {"n": 13}, "is_reverse": true}} | 21,318 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = u + 2; k = e + 20; d = r + 1; a = i + 16; s = n + 14; n = 13; u = n + 8; z = k + 6; q = m + 13; r = c + 16; m = s + 3; e = a + 6; c = q + 1. Given that n = 13, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 16 to d, which gives d = c + 17.\n2. Substitute c = q + 1 to d, which gives d = q + 18.\n3. Substitute q = m + 13 to d, which gives d = m + 31.\n4. Substitute m = s + 3 to d, which gives d = s + 34.\n5. Substitute s = n + 14 to d, which gives d = n + 48.\n6. Substitute n = 13 to d, which gives d = 61.\n\nThus, the final answer is d = \\boxed{61}.",
"index": 21318,
"question": "Suppose a collection of variables is related by the following definitions: i = u + 2; k = e + 20; d = r + 1; a = i + 16; s = n + 14; n = 13; u = n + 8; z = k + 6; q = m + 13; r = c + 16; m = s + 3; e = a + 6; c = q + 1. Given that n = 13, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 8", "i": "r + 15", "b": "i + 8", "f": "b + 2", "w": "f + 20", "j": "w + 10", "h": "v + 5", "q": "h + 9", "y": "q + 7", "p": "y + 13", "x": "p + 20", "m": "x + 8", "v": 13}, "premises": {"v": 13}, "target": "j"}, "answer": {"steps": [["w", "f + 20", "f + 30"], ["f", "b + 2", "b + 32"], ["b", "i + 8", "i + 40"], ["i", "r + 15", "r + 55"], ["r", "v + 8", "v + 63"], ["v", 13, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"v": 13}, "is_reverse": true}} | 21,319 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = y + 13; h = v + 5; f = b + 2; w = f + 20; m = x + 8; q = h + 9; y = q + 7; r = v + 8; j = w + 10; x = p + 20; b = i + 8; i = r + 15; v = 13. If v = 13, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 20 to j, which gives j = f + 30.\n2. Substitute f = b + 2 to j, which gives j = b + 32.\n3. Substitute b = i + 8 to j, which gives j = i + 40.\n4. Substitute i = r + 15 to j, which gives j = r + 55.\n5. Substitute r = v + 8 to j, which gives j = v + 63.\n6. Substitute v = 13 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 21319,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = y + 13; h = v + 5; f = b + 2; w = f + 20; m = x + 8; q = h + 9; y = q + 7; r = v + 8; j = w + 10; x = p + 20; b = i + 8; i = r + 15; v = 13. If v = 13, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 7", "y": "s + 1", "i": "y + 11", "g": "i + 9", "k": "g + 19", "c": "k + 13", "j": "f + 19", "l": "j + 13", "h": "l + 11", "n": "h + 20", "m": "n + 14", "d": "m + 13", "f": 2}, "premises": {"f": 2}, "target": "c"}, "answer": {"steps": [["k", "g + 19", "g + 32"], ["g", "i + 9", "i + 41"], ["i", "y + 11", "y + 52"], ["y", "s + 1", "s + 53"], ["s", "f + 7", "f + 60"], ["f", 2, "62"]], "target_var_name": "c", "target_value": 62, "value_dict": {"f": 2}, "is_reverse": true}} | 21,320 | 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 = s + 1; l = j + 13; m = n + 14; k = g + 19; n = h + 20; i = y + 11; c = k + 13; s = f + 7; j = f + 19; g = i + 9; h = l + 11; d = m + 13; f = 2. If f = 2, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 19 to c, which gives c = g + 32.\n2. Substitute g = i + 9 to c, which gives c = i + 41.\n3. Substitute i = y + 11 to c, which gives c = y + 52.\n4. Substitute y = s + 1 to c, which gives c = s + 53.\n5. Substitute s = f + 7 to c, which gives c = f + 60.\n6. Substitute f = 2 to c, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 21320,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = s + 1; l = j + 13; m = n + 14; k = g + 19; n = h + 20; i = y + 11; c = k + 13; s = f + 7; j = f + 19; g = i + 9; h = l + 11; d = m + 13; f = 2. If f = 2, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 14", "q": "x + 4", "s": "q + 2", "v": "s + 16", "w": "v + 10", "l": "w + 3", "j": "i + 9", "d": "j + 11", "a": "d + 17", "m": "a + 19", "p": "m + 8", "e": "p + 4", "i": 11}, "premises": {"i": 11}, "target": "l"}, "answer": {"steps": [["w", "v + 10", "v + 13"], ["v", "s + 16", "s + 29"], ["s", "q + 2", "q + 31"], ["q", "x + 4", "x + 35"], ["x", "i + 14", "i + 49"], ["i", 11, "60"]], "target_var_name": "l", "target_value": 60, "value_dict": {"i": 11}, "is_reverse": true}} | 21,321 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = s + 16; q = x + 4; e = p + 4; w = v + 10; p = m + 8; d = j + 11; a = d + 17; l = w + 3; s = q + 2; m = a + 19; x = i + 14; j = i + 9; i = 11. If i = 11, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 10 to l, which gives l = v + 13.\n2. Substitute v = s + 16 to l, which gives l = s + 29.\n3. Substitute s = q + 2 to l, which gives l = q + 31.\n4. Substitute q = x + 4 to l, which gives l = x + 35.\n5. Substitute x = i + 14 to l, which gives l = i + 49.\n6. Substitute i = 11 to l, which gives l = 60.\n\nThus, the final answer is l = \\boxed{60}.",
"index": 21321,
"question": "Consider a system of variables where each variable is defined as follows: v = s + 16; q = x + 4; e = p + 4; w = v + 10; p = m + 8; d = j + 11; a = d + 17; l = w + 3; s = q + 2; m = a + 19; x = i + 14; j = i + 9; i = 11. If i = 11, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 9", "m": "l + 11", "n": "m + 4", "j": "n + 15", "c": "j + 10", "k": "c + 20", "t": "y + 9", "g": "t + 11", "u": "g + 10", "o": "u + 4", "v": "o + 2", "s": "v + 10", "y": 16}, "premises": {"y": 16}, "target": "k"}, "answer": {"steps": [["c", "j + 10", "j + 30"], ["j", "n + 15", "n + 45"], ["n", "m + 4", "m + 49"], ["m", "l + 11", "l + 60"], ["l", "y + 9", "y + 69"], ["y", 16, "85"]], "target_var_name": "k", "target_value": 85, "value_dict": {"y": 16}, "is_reverse": true}} | 21,322 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = n + 15; n = m + 4; g = t + 11; t = y + 9; s = v + 10; m = l + 11; u = g + 10; y = 16; c = j + 10; v = o + 2; l = y + 9; k = c + 20; o = u + 4. Given that y = 16, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 10 to k, which gives k = j + 30.\n2. Substitute j = n + 15 to k, which gives k = n + 45.\n3. Substitute n = m + 4 to k, which gives k = m + 49.\n4. Substitute m = l + 11 to k, which gives k = l + 60.\n5. Substitute l = y + 9 to k, which gives k = y + 69.\n6. Substitute y = 16 to k, which gives k = 85.\n\nThus, the final answer is k = \\boxed{85}.",
"index": 21322,
"question": "Suppose a collection of variables is related by the following definitions: j = n + 15; n = m + 4; g = t + 11; t = y + 9; s = v + 10; m = l + 11; u = g + 10; y = 16; c = j + 10; v = o + 2; l = y + 9; k = c + 20; o = u + 4. Given that y = 16, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 5", "u": "b + 1", "h": "u + 18", "g": "h + 9", "n": "g + 1", "x": "n + 13", "z": "j + 7", "v": "z + 2", "f": "v + 10", "m": "f + 12", "c": "m + 11", "i": "c + 6", "j": 12}, "premises": {"j": 12}, "target": "x"}, "answer": {"steps": [["n", "g + 1", "g + 14"], ["g", "h + 9", "h + 23"], ["h", "u + 18", "u + 41"], ["u", "b + 1", "b + 42"], ["b", "j + 5", "j + 47"], ["j", 12, "59"]], "target_var_name": "x", "target_value": 59, "value_dict": {"j": 12}, "is_reverse": true}} | 21,323 | 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 = f + 12; j = 12; h = u + 18; g = h + 9; z = j + 7; u = b + 1; i = c + 6; n = g + 1; b = j + 5; f = v + 10; v = z + 2; c = m + 11; x = n + 13. If j = 12, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 1 to x, which gives x = g + 14.\n2. Substitute g = h + 9 to x, which gives x = h + 23.\n3. Substitute h = u + 18 to x, which gives x = u + 41.\n4. Substitute u = b + 1 to x, which gives x = b + 42.\n5. Substitute b = j + 5 to x, which gives x = j + 47.\n6. Substitute j = 12 to x, which gives x = 59.\n\nThus, the final answer is x = \\boxed{59}.",
"index": 21323,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 12; j = 12; h = u + 18; g = h + 9; z = j + 7; u = b + 1; i = c + 6; n = g + 1; b = j + 5; f = v + 10; v = z + 2; c = m + 11; x = n + 13. If j = 12, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 11", "h": "c + 20", "s": "h + 17", "a": "s + 12", "l": "a + 16", "r": "l + 20", "t": "w + 16", "b": "t + 2", "e": "b + 15", "d": "e + 3", "n": "d + 13", "j": "n + 12", "w": 19}, "premises": {"w": 19}, "target": "r"}, "answer": {"steps": [["l", "a + 16", "a + 36"], ["a", "s + 12", "s + 48"], ["s", "h + 17", "h + 65"], ["h", "c + 20", "c + 85"], ["c", "w + 11", "w + 96"], ["w", 19, "115"]], "target_var_name": "r", "target_value": 115, "value_dict": {"w": 19}, "is_reverse": true}} | 21,324 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = t + 2; t = w + 16; r = l + 20; d = e + 3; c = w + 11; s = h + 17; j = n + 12; w = 19; e = b + 15; l = a + 16; h = c + 20; a = s + 12; n = d + 13. If w = 19, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 115,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 16 to r, which gives r = a + 36.\n2. Substitute a = s + 12 to r, which gives r = s + 48.\n3. Substitute s = h + 17 to r, which gives r = h + 65.\n4. Substitute h = c + 20 to r, which gives r = c + 85.\n5. Substitute c = w + 11 to r, which gives r = w + 96.\n6. Substitute w = 19 to r, which gives r = 115.\n\nThus, the final answer is r = \\boxed{115}.",
"index": 21324,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = t + 2; t = w + 16; r = l + 20; d = e + 3; c = w + 11; s = h + 17; j = n + 12; w = 19; e = b + 15; l = a + 16; h = c + 20; a = s + 12; n = d + 13. If w = 19, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"b": "v + 18", "u": "b + 12", "j": "u + 14", "d": "j + 14", "i": "d + 3", "e": "i + 2", "w": "v + 3", "z": "w + 19", "g": "z + 19", "n": "g + 20", "l": "n + 14", "m": "l + 12", "v": 17}, "premises": {"v": 17}, "target": "e"}, "answer": {"steps": [["i", "d + 3", "d + 5"], ["d", "j + 14", "j + 19"], ["j", "u + 14", "u + 33"], ["u", "b + 12", "b + 45"], ["b", "v + 18", "v + 63"], ["v", 17, "80"]], "target_var_name": "e", "target_value": 80, "value_dict": {"v": 17}, "is_reverse": true}} | 21,325 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = n + 14; i = d + 3; w = v + 3; z = w + 19; e = i + 2; m = l + 12; b = v + 18; d = j + 14; v = 17; n = g + 20; u = b + 12; j = u + 14; g = z + 19. Given that v = 17, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 3 to e, which gives e = d + 5.\n2. Substitute d = j + 14 to e, which gives e = j + 19.\n3. Substitute j = u + 14 to e, which gives e = u + 33.\n4. Substitute u = b + 12 to e, which gives e = b + 45.\n5. Substitute b = v + 18 to e, which gives e = v + 63.\n6. Substitute v = 17 to e, which gives e = 80.\n\nThus, the final answer is e = \\boxed{80}.",
"index": 21325,
"question": "Suppose a collection of variables is related by the following definitions: l = n + 14; i = d + 3; w = v + 3; z = w + 19; e = i + 2; m = l + 12; b = v + 18; d = j + 14; v = 17; n = g + 20; u = b + 12; j = u + 14; g = z + 19. Given that v = 17, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 17", "x": "l + 4", "r": "x + 18", "c": "r + 16", "j": "c + 17", "t": "j + 10", "a": "k + 12", "q": "a + 4", "o": "q + 11", "p": "o + 6", "i": "p + 18", "u": "i + 14", "k": 7}, "premises": {"k": 7}, "target": "t"}, "answer": {"steps": [["j", "c + 17", "c + 27"], ["c", "r + 16", "r + 43"], ["r", "x + 18", "x + 61"], ["x", "l + 4", "l + 65"], ["l", "k + 17", "k + 82"], ["k", 7, "89"]], "target_var_name": "t", "target_value": 89, "value_dict": {"k": 7}, "is_reverse": true}} | 21,326 | 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; a = k + 12; p = o + 6; q = a + 4; k = 7; l = k + 17; r = x + 18; c = r + 16; i = p + 18; t = j + 10; j = c + 17; o = q + 11; x = l + 4. Given that k = 7, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 17 to t, which gives t = c + 27.\n2. Substitute c = r + 16 to t, which gives t = r + 43.\n3. Substitute r = x + 18 to t, which gives t = x + 61.\n4. Substitute x = l + 4 to t, which gives t = l + 65.\n5. Substitute l = k + 17 to t, which gives t = k + 82.\n6. Substitute k = 7 to t, which gives t = 89.\n\nThus, the final answer is t = \\boxed{89}.",
"index": 21326,
"question": "Suppose a collection of variables is related by the following definitions: u = i + 14; a = k + 12; p = o + 6; q = a + 4; k = 7; l = k + 17; r = x + 18; c = r + 16; i = p + 18; t = j + 10; j = c + 17; o = q + 11; x = l + 4. Given that k = 7, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 16", "r": "x + 15", "s": "r + 14", "i": "s + 17", "p": "i + 2", "g": "p + 4", "t": "q + 5", "b": "t + 11", "d": "b + 15", "a": "d + 7", "w": "a + 12", "v": "w + 10", "q": 16}, "premises": {"q": 16}, "target": "g"}, "answer": {"steps": [["p", "i + 2", "i + 6"], ["i", "s + 17", "s + 23"], ["s", "r + 14", "r + 37"], ["r", "x + 15", "x + 52"], ["x", "q + 16", "q + 68"], ["q", 16, "84"]], "target_var_name": "g", "target_value": 84, "value_dict": {"q": 16}, "is_reverse": true}} | 21,327 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = s + 17; r = x + 15; b = t + 11; w = a + 12; x = q + 16; q = 16; t = q + 5; a = d + 7; d = b + 15; g = p + 4; v = w + 10; s = r + 14; p = i + 2. If q = 16, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 2 to g, which gives g = i + 6.\n2. Substitute i = s + 17 to g, which gives g = s + 23.\n3. Substitute s = r + 14 to g, which gives g = r + 37.\n4. Substitute r = x + 15 to g, which gives g = x + 52.\n5. Substitute x = q + 16 to g, which gives g = q + 68.\n6. Substitute q = 16 to g, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 21327,
"question": "Consider a system of variables where each variable is defined as follows: i = s + 17; r = x + 15; b = t + 11; w = a + 12; x = q + 16; q = 16; t = q + 5; a = d + 7; d = b + 15; g = p + 4; v = w + 10; s = r + 14; p = i + 2. If q = 16, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 9", "r": "j + 15", "s": "r + 16", "k": "s + 19", "f": "k + 18", "x": "f + 12", "m": "q + 11", "d": "m + 20", "e": "d + 4", "a": "e + 10", "w": "a + 9", "y": "w + 8", "q": 19}, "premises": {"q": 19}, "target": "x"}, "answer": {"steps": [["f", "k + 18", "k + 30"], ["k", "s + 19", "s + 49"], ["s", "r + 16", "r + 65"], ["r", "j + 15", "j + 80"], ["j", "q + 9", "q + 89"], ["q", 19, "108"]], "target_var_name": "x", "target_value": 108, "value_dict": {"q": 19}, "is_reverse": true}} | 21,328 | 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 = m + 20; w = a + 9; j = q + 9; k = s + 19; e = d + 4; f = k + 18; q = 19; x = f + 12; m = q + 11; s = r + 16; a = e + 10; y = w + 8; r = j + 15. If q = 19, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 18 to x, which gives x = k + 30.\n2. Substitute k = s + 19 to x, which gives x = s + 49.\n3. Substitute s = r + 16 to x, which gives x = r + 65.\n4. Substitute r = j + 15 to x, which gives x = j + 80.\n5. Substitute j = q + 9 to x, which gives x = q + 89.\n6. Substitute q = 19 to x, which gives x = 108.\n\nThus, the final answer is x = \\boxed{108}.",
"index": 21328,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = m + 20; w = a + 9; j = q + 9; k = s + 19; e = d + 4; f = k + 18; q = 19; x = f + 12; m = q + 11; s = r + 16; a = e + 10; y = w + 8; r = j + 15. If q = 19, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"n": "m + 17", "u": "n + 19", "f": "u + 5", "t": "f + 16", "v": "t + 15", "y": "v + 2", "o": "m + 5", "c": "o + 8", "r": "c + 16", "b": "r + 8", "j": "b + 7", "s": "j + 12", "m": 3}, "premises": {"m": 3}, "target": "y"}, "answer": {"steps": [["v", "t + 15", "t + 17"], ["t", "f + 16", "f + 33"], ["f", "u + 5", "u + 38"], ["u", "n + 19", "n + 57"], ["n", "m + 17", "m + 74"], ["m", 3, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"m": 3}, "is_reverse": true}} | 21,329 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = n + 19; v = t + 15; f = u + 5; n = m + 17; o = m + 5; y = v + 2; s = j + 12; c = o + 8; b = r + 8; m = 3; r = c + 16; j = b + 7; t = f + 16. Given that m = 3, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 15 to y, which gives y = t + 17.\n2. Substitute t = f + 16 to y, which gives y = f + 33.\n3. Substitute f = u + 5 to y, which gives y = u + 38.\n4. Substitute u = n + 19 to y, which gives y = n + 57.\n5. Substitute n = m + 17 to y, which gives y = m + 74.\n6. Substitute m = 3 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 21329,
"question": "Suppose a collection of variables is related by the following definitions: u = n + 19; v = t + 15; f = u + 5; n = m + 17; o = m + 5; y = v + 2; s = j + 12; c = o + 8; b = r + 8; m = 3; r = c + 16; j = b + 7; t = f + 16. Given that m = 3, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 9", "f": "x + 11", "y": "f + 20", "o": "y + 20", "s": "o + 16", "b": "s + 14", "d": "p + 13", "g": "d + 19", "k": "g + 3", "n": "k + 15", "v": "n + 12", "e": "v + 3", "p": 18}, "premises": {"p": 18}, "target": "b"}, "answer": {"steps": [["s", "o + 16", "o + 30"], ["o", "y + 20", "y + 50"], ["y", "f + 20", "f + 70"], ["f", "x + 11", "x + 81"], ["x", "p + 9", "p + 90"], ["p", 18, "108"]], "target_var_name": "b", "target_value": 108, "value_dict": {"p": 18}, "is_reverse": true}} | 21,330 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 11; x = p + 9; d = p + 13; v = n + 12; y = f + 20; e = v + 3; k = g + 3; n = k + 15; p = 18; s = o + 16; g = d + 19; b = s + 14; o = y + 20. If p = 18, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 16 to b, which gives b = o + 30.\n2. Substitute o = y + 20 to b, which gives b = y + 50.\n3. Substitute y = f + 20 to b, which gives b = f + 70.\n4. Substitute f = x + 11 to b, which gives b = x + 81.\n5. Substitute x = p + 9 to b, which gives b = p + 90.\n6. Substitute p = 18 to b, which gives b = 108.\n\nThus, the final answer is b = \\boxed{108}.",
"index": 21330,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 11; x = p + 9; d = p + 13; v = n + 12; y = f + 20; e = v + 3; k = g + 3; n = k + 15; p = 18; s = o + 16; g = d + 19; b = s + 14; o = y + 20. If p = 18, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"w": "c + 6", "o": "w + 7", "y": "o + 17", "d": "y + 5", "m": "d + 15", "z": "m + 1", "u": "c + 10", "f": "u + 13", "k": "f + 16", "r": "k + 12", "v": "r + 4", "g": "v + 20", "c": 9}, "premises": {"c": 9}, "target": "z"}, "answer": {"steps": [["m", "d + 15", "d + 16"], ["d", "y + 5", "y + 21"], ["y", "o + 17", "o + 38"], ["o", "w + 7", "w + 45"], ["w", "c + 6", "c + 51"], ["c", 9, "60"]], "target_var_name": "z", "target_value": 60, "value_dict": {"c": 9}, "is_reverse": true}} | 21,331 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = c + 10; m = d + 15; g = v + 20; d = y + 5; w = c + 6; c = 9; y = o + 17; z = m + 1; r = k + 12; f = u + 13; k = f + 16; o = w + 7; v = r + 4. If c = 9, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 15 to z, which gives z = d + 16.\n2. Substitute d = y + 5 to z, which gives z = y + 21.\n3. Substitute y = o + 17 to z, which gives z = o + 38.\n4. Substitute o = w + 7 to z, which gives z = w + 45.\n5. Substitute w = c + 6 to z, which gives z = c + 51.\n6. Substitute c = 9 to z, which gives z = 60.\n\nThus, the final answer is z = \\boxed{60}.",
"index": 21331,
"question": "Consider a system of variables where each variable is defined as follows: u = c + 10; m = d + 15; g = v + 20; d = y + 5; w = c + 6; c = 9; y = o + 17; z = m + 1; r = k + 12; f = u + 13; k = f + 16; o = w + 7; v = r + 4. If c = 9, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 19", "e": "v + 20", "b": "e + 8", "k": "b + 15", "j": "k + 5", "g": "j + 16", "p": "l + 17", "c": "p + 4", "y": "c + 16", "n": "y + 5", "i": "n + 5", "m": "i + 5", "l": 5}, "premises": {"l": 5}, "target": "g"}, "answer": {"steps": [["j", "k + 5", "k + 21"], ["k", "b + 15", "b + 36"], ["b", "e + 8", "e + 44"], ["e", "v + 20", "v + 64"], ["v", "l + 19", "l + 83"], ["l", 5, "88"]], "target_var_name": "g", "target_value": 88, "value_dict": {"l": 5}, "is_reverse": true}} | 21,332 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = l + 19; l = 5; e = v + 20; j = k + 5; g = j + 16; m = i + 5; i = n + 5; k = b + 15; p = l + 17; y = c + 16; n = y + 5; c = p + 4; b = e + 8. If l = 5, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 5 to g, which gives g = k + 21.\n2. Substitute k = b + 15 to g, which gives g = b + 36.\n3. Substitute b = e + 8 to g, which gives g = e + 44.\n4. Substitute e = v + 20 to g, which gives g = v + 64.\n5. Substitute v = l + 19 to g, which gives g = l + 83.\n6. Substitute l = 5 to g, which gives g = 88.\n\nThus, the final answer is g = \\boxed{88}.",
"index": 21332,
"question": "Consider a system of variables where each variable is defined as follows: v = l + 19; l = 5; e = v + 20; j = k + 5; g = j + 16; m = i + 5; i = n + 5; k = b + 15; p = l + 17; y = c + 16; n = y + 5; c = p + 4; b = e + 8. If l = 5, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 14", "t": "p + 17", "l": "t + 15", "y": "l + 18", "d": "y + 5", "s": "d + 4", "z": "u + 7", "g": "z + 13", "v": "g + 16", "k": "v + 4", "x": "k + 15", "r": "x + 11", "u": 1}, "premises": {"u": 1}, "target": "s"}, "answer": {"steps": [["d", "y + 5", "y + 9"], ["y", "l + 18", "l + 27"], ["l", "t + 15", "t + 42"], ["t", "p + 17", "p + 59"], ["p", "u + 14", "u + 73"], ["u", 1, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"u": 1}, "is_reverse": true}} | 21,333 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = p + 17; z = u + 7; p = u + 14; g = z + 13; l = t + 15; y = l + 18; x = k + 15; v = g + 16; k = v + 4; r = x + 11; d = y + 5; s = d + 4; u = 1. If u = 1, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 5 to s, which gives s = y + 9.\n2. Substitute y = l + 18 to s, which gives s = l + 27.\n3. Substitute l = t + 15 to s, which gives s = t + 42.\n4. Substitute t = p + 17 to s, which gives s = p + 59.\n5. Substitute p = u + 14 to s, which gives s = u + 73.\n6. Substitute u = 1 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 21333,
"question": "Consider a system of variables where each variable is defined as follows: t = p + 17; z = u + 7; p = u + 14; g = z + 13; l = t + 15; y = l + 18; x = k + 15; v = g + 16; k = v + 4; r = x + 11; d = y + 5; s = d + 4; u = 1. If u = 1, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 15", "g": "a + 3", "f": "g + 9", "b": "f + 7", "y": "b + 10", "m": "y + 12", "s": "v + 9", "i": "s + 10", "o": "i + 14", "u": "o + 2", "n": "u + 3", "j": "n + 17", "v": 2}, "premises": {"v": 2}, "target": "m"}, "answer": {"steps": [["y", "b + 10", "b + 22"], ["b", "f + 7", "f + 29"], ["f", "g + 9", "g + 38"], ["g", "a + 3", "a + 41"], ["a", "v + 15", "v + 56"], ["v", 2, "58"]], "target_var_name": "m", "target_value": 58, "value_dict": {"v": 2}, "is_reverse": true}} | 21,334 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = i + 14; m = y + 12; a = v + 15; v = 2; i = s + 10; b = f + 7; n = u + 3; s = v + 9; g = a + 3; y = b + 10; j = n + 17; f = g + 9; u = o + 2. If v = 2, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 10 to m, which gives m = b + 22.\n2. Substitute b = f + 7 to m, which gives m = f + 29.\n3. Substitute f = g + 9 to m, which gives m = g + 38.\n4. Substitute g = a + 3 to m, which gives m = a + 41.\n5. Substitute a = v + 15 to m, which gives m = v + 56.\n6. Substitute v = 2 to m, which gives m = 58.\n\nThus, the final answer is m = \\boxed{58}.",
"index": 21334,
"question": "Consider a system of variables where each variable is defined as follows: o = i + 14; m = y + 12; a = v + 15; v = 2; i = s + 10; b = f + 7; n = u + 3; s = v + 9; g = a + 3; y = b + 10; j = n + 17; f = g + 9; u = o + 2. If v = 2, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 3", "x": "q + 9", "m": "x + 8", "a": "m + 11", "v": "a + 5", "k": "v + 19", "y": "d + 8", "l": "y + 10", "j": "l + 14", "n": "j + 14", "o": "n + 3", "b": "o + 11", "d": 17}, "premises": {"d": 17}, "target": "k"}, "answer": {"steps": [["v", "a + 5", "a + 24"], ["a", "m + 11", "m + 35"], ["m", "x + 8", "x + 43"], ["x", "q + 9", "q + 52"], ["q", "d + 3", "d + 55"], ["d", 17, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"d": 17}, "is_reverse": true}} | 21,335 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = d + 8; q = d + 3; d = 17; v = a + 5; o = n + 3; b = o + 11; k = v + 19; a = m + 11; m = x + 8; x = q + 9; j = l + 14; l = y + 10; n = j + 14. If d = 17, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 5 to k, which gives k = a + 24.\n2. Substitute a = m + 11 to k, which gives k = m + 35.\n3. Substitute m = x + 8 to k, which gives k = x + 43.\n4. Substitute x = q + 9 to k, which gives k = q + 52.\n5. Substitute q = d + 3 to k, which gives k = d + 55.\n6. Substitute d = 17 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 21335,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = d + 8; q = d + 3; d = 17; v = a + 5; o = n + 3; b = o + 11; k = v + 19; a = m + 11; m = x + 8; x = q + 9; j = l + 14; l = y + 10; n = j + 14. If d = 17, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 7", "l": "a + 2", "o": "l + 12", "y": "o + 13", "m": "y + 1", "u": "m + 13", "g": "h + 3", "e": "g + 4", "j": "e + 17", "z": "j + 7", "c": "z + 7", "p": "c + 1", "h": 18}, "premises": {"h": 18}, "target": "u"}, "answer": {"steps": [["m", "y + 1", "y + 14"], ["y", "o + 13", "o + 27"], ["o", "l + 12", "l + 39"], ["l", "a + 2", "a + 41"], ["a", "h + 7", "h + 48"], ["h", 18, "66"]], "target_var_name": "u", "target_value": 66, "value_dict": {"h": 18}, "is_reverse": true}} | 21,336 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = j + 7; g = h + 3; e = g + 4; h = 18; l = a + 2; m = y + 1; a = h + 7; u = m + 13; j = e + 17; p = c + 1; y = o + 13; o = l + 12; c = z + 7. If h = 18, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 1 to u, which gives u = y + 14.\n2. Substitute y = o + 13 to u, which gives u = o + 27.\n3. Substitute o = l + 12 to u, which gives u = l + 39.\n4. Substitute l = a + 2 to u, which gives u = a + 41.\n5. Substitute a = h + 7 to u, which gives u = h + 48.\n6. Substitute h = 18 to u, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 21336,
"question": "Consider a system of variables where each variable is defined as follows: z = j + 7; g = h + 3; e = g + 4; h = 18; l = a + 2; m = y + 1; a = h + 7; u = m + 13; j = e + 17; p = c + 1; y = o + 13; o = l + 12; c = z + 7. If h = 18, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 20", "y": "i + 7", "z": "y + 18", "s": "z + 3", "f": "s + 13", "n": "f + 17", "o": "v + 3", "t": "o + 7", "m": "t + 18", "e": "m + 13", "k": "e + 14", "c": "k + 4", "v": 8}, "premises": {"v": 8}, "target": "n"}, "answer": {"steps": [["f", "s + 13", "s + 30"], ["s", "z + 3", "z + 33"], ["z", "y + 18", "y + 51"], ["y", "i + 7", "i + 58"], ["i", "v + 20", "v + 78"], ["v", 8, "86"]], "target_var_name": "n", "target_value": 86, "value_dict": {"v": 8}, "is_reverse": true}} | 21,337 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = m + 13; s = z + 3; o = v + 3; f = s + 13; v = 8; n = f + 17; m = t + 18; t = o + 7; c = k + 4; k = e + 14; i = v + 20; y = i + 7; z = y + 18. Given that v = 8, 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 f = s + 13 to n, which gives n = s + 30.\n2. Substitute s = z + 3 to n, which gives n = z + 33.\n3. Substitute z = y + 18 to n, which gives n = y + 51.\n4. Substitute y = i + 7 to n, which gives n = i + 58.\n5. Substitute i = v + 20 to n, which gives n = v + 78.\n6. Substitute v = 8 to n, which gives n = 86.\n\nThus, the final answer is n = \\boxed{86}.",
"index": 21337,
"question": "Suppose a collection of variables is related by the following definitions: e = m + 13; s = z + 3; o = v + 3; f = s + 13; v = 8; n = f + 17; m = t + 18; t = o + 7; c = k + 4; k = e + 14; i = v + 20; y = i + 7; z = y + 18. Given that v = 8, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 1", "g": "n + 20", "j": "g + 16", "i": "j + 19", "p": "i + 7", "v": "p + 10", "c": "b + 18", "x": "c + 8", "d": "x + 5", "u": "d + 12", "h": "u + 15", "f": "h + 9", "b": 13}, "premises": {"b": 13}, "target": "v"}, "answer": {"steps": [["p", "i + 7", "i + 17"], ["i", "j + 19", "j + 36"], ["j", "g + 16", "g + 52"], ["g", "n + 20", "n + 72"], ["n", "b + 1", "b + 73"], ["b", 13, "86"]], "target_var_name": "v", "target_value": 86, "value_dict": {"b": 13}, "is_reverse": true}} | 21,338 | 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 = d + 12; x = c + 8; p = i + 7; h = u + 15; g = n + 20; d = x + 5; j = g + 16; f = h + 9; b = 13; i = j + 19; v = p + 10; c = b + 18; n = b + 1. If b = 13, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 7 to v, which gives v = i + 17.\n2. Substitute i = j + 19 to v, which gives v = j + 36.\n3. Substitute j = g + 16 to v, which gives v = g + 52.\n4. Substitute g = n + 20 to v, which gives v = n + 72.\n5. Substitute n = b + 1 to v, which gives v = b + 73.\n6. Substitute b = 13 to v, which gives v = 86.\n\nThus, the final answer is v = \\boxed{86}.",
"index": 21338,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = d + 12; x = c + 8; p = i + 7; h = u + 15; g = n + 20; d = x + 5; j = g + 16; f = h + 9; b = 13; i = j + 19; v = p + 10; c = b + 18; n = b + 1. If b = 13, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"z": "o + 6", "w": "z + 17", "d": "w + 5", "t": "d + 6", "s": "t + 4", "h": "s + 19", "g": "o + 20", "l": "g + 13", "j": "l + 1", "i": "j + 12", "k": "i + 9", "m": "k + 15", "o": 14}, "premises": {"o": 14}, "target": "h"}, "answer": {"steps": [["s", "t + 4", "t + 23"], ["t", "d + 6", "d + 29"], ["d", "w + 5", "w + 34"], ["w", "z + 17", "z + 51"], ["z", "o + 6", "o + 57"], ["o", 14, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"o": 14}, "is_reverse": true}} | 21,339 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = z + 17; t = d + 6; k = i + 9; h = s + 19; m = k + 15; z = o + 6; i = j + 12; o = 14; s = t + 4; l = g + 13; g = o + 20; d = w + 5; j = l + 1. Given that o = 14, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 4 to h, which gives h = t + 23.\n2. Substitute t = d + 6 to h, which gives h = d + 29.\n3. Substitute d = w + 5 to h, which gives h = w + 34.\n4. Substitute w = z + 17 to h, which gives h = z + 51.\n5. Substitute z = o + 6 to h, which gives h = o + 57.\n6. Substitute o = 14 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 21339,
"question": "Suppose a collection of variables is related by the following definitions: w = z + 17; t = d + 6; k = i + 9; h = s + 19; m = k + 15; z = o + 6; i = j + 12; o = 14; s = t + 4; l = g + 13; g = o + 20; d = w + 5; j = l + 1. Given that o = 14, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 16", "b": "s + 7", "r": "b + 16", "e": "r + 8", "a": "e + 11", "y": "a + 14", "t": "f + 15", "h": "t + 19", "m": "h + 15", "x": "m + 13", "i": "x + 5", "q": "i + 17", "f": 7}, "premises": {"f": 7}, "target": "y"}, "answer": {"steps": [["a", "e + 11", "e + 25"], ["e", "r + 8", "r + 33"], ["r", "b + 16", "b + 49"], ["b", "s + 7", "s + 56"], ["s", "f + 16", "f + 72"], ["f", 7, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"f": 7}, "is_reverse": true}} | 21,340 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 11; s = f + 16; f = 7; x = m + 13; r = b + 16; i = x + 5; h = t + 19; m = h + 15; q = i + 17; t = f + 15; e = r + 8; b = s + 7; y = a + 14. If f = 7, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 11 to y, which gives y = e + 25.\n2. Substitute e = r + 8 to y, which gives y = r + 33.\n3. Substitute r = b + 16 to y, which gives y = b + 49.\n4. Substitute b = s + 7 to y, which gives y = s + 56.\n5. Substitute s = f + 16 to y, which gives y = f + 72.\n6. Substitute f = 7 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 21340,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 11; s = f + 16; f = 7; x = m + 13; r = b + 16; i = x + 5; h = t + 19; m = h + 15; q = i + 17; t = f + 15; e = r + 8; b = s + 7; y = a + 14. If f = 7, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 12", "a": "d + 6", "k": "a + 3", "i": "k + 5", "m": "i + 7", "y": "m + 10", "e": "q + 7", "b": "e + 7", "p": "b + 7", "v": "p + 20", "x": "v + 20", "w": "x + 1", "q": 7}, "premises": {"q": 7}, "target": "y"}, "answer": {"steps": [["m", "i + 7", "i + 17"], ["i", "k + 5", "k + 22"], ["k", "a + 3", "a + 25"], ["a", "d + 6", "d + 31"], ["d", "q + 12", "q + 43"], ["q", 7, "50"]], "target_var_name": "y", "target_value": 50, "value_dict": {"q": 7}, "is_reverse": true}} | 21,341 | 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 = v + 20; p = b + 7; e = q + 7; i = k + 5; a = d + 6; k = a + 3; b = e + 7; y = m + 10; q = 7; m = i + 7; d = q + 12; w = x + 1; v = p + 20. If q = 7, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 7 to y, which gives y = i + 17.\n2. Substitute i = k + 5 to y, which gives y = k + 22.\n3. Substitute k = a + 3 to y, which gives y = a + 25.\n4. Substitute a = d + 6 to y, which gives y = d + 31.\n5. Substitute d = q + 12 to y, which gives y = q + 43.\n6. Substitute q = 7 to y, which gives y = 50.\n\nThus, the final answer is y = \\boxed{50}.",
"index": 21341,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 20; p = b + 7; e = q + 7; i = k + 5; a = d + 6; k = a + 3; b = e + 7; y = m + 10; q = 7; m = i + 7; d = q + 12; w = x + 1; v = p + 20. If q = 7, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"x": "h + 1", "l": "x + 15", "f": "l + 6", "o": "f + 13", "r": "o + 6", "s": "r + 13", "v": "h + 6", "d": "v + 20", "i": "d + 12", "b": "i + 6", "y": "b + 4", "t": "y + 8", "h": 17}, "premises": {"h": 17}, "target": "s"}, "answer": {"steps": [["r", "o + 6", "o + 19"], ["o", "f + 13", "f + 32"], ["f", "l + 6", "l + 38"], ["l", "x + 15", "x + 53"], ["x", "h + 1", "h + 54"], ["h", 17, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"h": 17}, "is_reverse": true}} | 21,342 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = b + 4; i = d + 12; f = l + 6; d = v + 20; h = 17; r = o + 6; s = r + 13; l = x + 15; b = i + 6; o = f + 13; v = h + 6; x = h + 1; t = y + 8. Given that h = 17, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 6 to s, which gives s = o + 19.\n2. Substitute o = f + 13 to s, which gives s = f + 32.\n3. Substitute f = l + 6 to s, which gives s = l + 38.\n4. Substitute l = x + 15 to s, which gives s = x + 53.\n5. Substitute x = h + 1 to s, which gives s = h + 54.\n6. Substitute h = 17 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 21342,
"question": "Suppose a collection of variables is related by the following definitions: y = b + 4; i = d + 12; f = l + 6; d = v + 20; h = 17; r = o + 6; s = r + 13; l = x + 15; b = i + 6; o = f + 13; v = h + 6; x = h + 1; t = y + 8. Given that h = 17, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 2", "q": "c + 15", "d": "q + 5", "p": "d + 15", "o": "p + 19", "x": "o + 1", "u": "z + 4", "k": "u + 14", "l": "k + 16", "w": "l + 13", "e": "w + 13", "r": "e + 6", "z": 8}, "premises": {"z": 8}, "target": "x"}, "answer": {"steps": [["o", "p + 19", "p + 20"], ["p", "d + 15", "d + 35"], ["d", "q + 5", "q + 40"], ["q", "c + 15", "c + 55"], ["c", "z + 2", "z + 57"], ["z", 8, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"z": 8}, "is_reverse": true}} | 21,343 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = q + 5; k = u + 14; z = 8; w = l + 13; c = z + 2; x = o + 1; q = c + 15; l = k + 16; u = z + 4; r = e + 6; p = d + 15; o = p + 19; e = w + 13. If z = 8, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 19 to x, which gives x = p + 20.\n2. Substitute p = d + 15 to x, which gives x = d + 35.\n3. Substitute d = q + 5 to x, which gives x = q + 40.\n4. Substitute q = c + 15 to x, which gives x = c + 55.\n5. Substitute c = z + 2 to x, which gives x = z + 57.\n6. Substitute z = 8 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 21343,
"question": "Consider a system of variables where each variable is defined as follows: d = q + 5; k = u + 14; z = 8; w = l + 13; c = z + 2; x = o + 1; q = c + 15; l = k + 16; u = z + 4; r = e + 6; p = d + 15; o = p + 19; e = w + 13. If z = 8, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"f": "z + 15", "c": "f + 2", "o": "c + 11", "v": "o + 12", "p": "v + 9", "b": "p + 12", "y": "z + 18", "a": "y + 13", "k": "a + 10", "l": "k + 7", "n": "l + 14", "d": "n + 6", "z": 9}, "premises": {"z": 9}, "target": "b"}, "answer": {"steps": [["p", "v + 9", "v + 21"], ["v", "o + 12", "o + 33"], ["o", "c + 11", "c + 44"], ["c", "f + 2", "f + 46"], ["f", "z + 15", "z + 61"], ["z", 9, "70"]], "target_var_name": "b", "target_value": 70, "value_dict": {"z": 9}, "is_reverse": true}} | 21,344 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = 9; n = l + 14; b = p + 12; p = v + 9; d = n + 6; v = o + 12; a = y + 13; c = f + 2; y = z + 18; f = z + 15; k = a + 10; o = c + 11; l = k + 7. If z = 9, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 9 to b, which gives b = v + 21.\n2. Substitute v = o + 12 to b, which gives b = o + 33.\n3. Substitute o = c + 11 to b, which gives b = c + 44.\n4. Substitute c = f + 2 to b, which gives b = f + 46.\n5. Substitute f = z + 15 to b, which gives b = z + 61.\n6. Substitute z = 9 to b, which gives b = 70.\n\nThus, the final answer is b = \\boxed{70}.",
"index": 21344,
"question": "Consider a system of variables where each variable is defined as follows: z = 9; n = l + 14; b = p + 12; p = v + 9; d = n + 6; v = o + 12; a = y + 13; c = f + 2; y = z + 18; f = z + 15; k = a + 10; o = c + 11; l = k + 7. If z = 9, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"z": "x + 4", "w": "z + 9", "m": "w + 8", "n": "m + 10", "e": "n + 13", "o": "e + 1", "d": "x + 9", "p": "d + 19", "g": "p + 11", "f": "g + 9", "l": "f + 18", "a": "l + 9", "x": 15}, "premises": {"x": 15}, "target": "o"}, "answer": {"steps": [["e", "n + 13", "n + 14"], ["n", "m + 10", "m + 24"], ["m", "w + 8", "w + 32"], ["w", "z + 9", "z + 41"], ["z", "x + 4", "x + 45"], ["x", 15, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"x": 15}, "is_reverse": true}} | 21,345 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 19; w = z + 9; m = w + 8; z = x + 4; a = l + 9; l = f + 18; o = e + 1; x = 15; d = x + 9; n = m + 10; f = g + 9; e = n + 13; g = p + 11. If x = 15, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 13 to o, which gives o = n + 14.\n2. Substitute n = m + 10 to o, which gives o = m + 24.\n3. Substitute m = w + 8 to o, which gives o = w + 32.\n4. Substitute w = z + 9 to o, which gives o = z + 41.\n5. Substitute z = x + 4 to o, which gives o = x + 45.\n6. Substitute x = 15 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 21345,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 19; w = z + 9; m = w + 8; z = x + 4; a = l + 9; l = f + 18; o = e + 1; x = 15; d = x + 9; n = m + 10; f = g + 9; e = n + 13; g = p + 11. If x = 15, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"e": "q + 7", "r": "e + 14", "m": "r + 7", "d": "m + 18", "y": "d + 14", "w": "y + 20", "g": "q + 6", "u": "g + 15", "v": "u + 20", "l": "v + 6", "j": "l + 3", "h": "j + 17", "q": 16}, "premises": {"q": 16}, "target": "w"}, "answer": {"steps": [["y", "d + 14", "d + 34"], ["d", "m + 18", "m + 52"], ["m", "r + 7", "r + 59"], ["r", "e + 14", "e + 73"], ["e", "q + 7", "q + 80"], ["q", 16, "96"]], "target_var_name": "w", "target_value": 96, "value_dict": {"q": 16}, "is_reverse": true}} | 21,346 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = d + 14; e = q + 7; r = e + 14; q = 16; u = g + 15; m = r + 7; j = l + 3; v = u + 20; l = v + 6; h = j + 17; d = m + 18; w = y + 20; g = q + 6. Given that q = 16, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 14 to w, which gives w = d + 34.\n2. Substitute d = m + 18 to w, which gives w = m + 52.\n3. Substitute m = r + 7 to w, which gives w = r + 59.\n4. Substitute r = e + 14 to w, which gives w = e + 73.\n5. Substitute e = q + 7 to w, which gives w = q + 80.\n6. Substitute q = 16 to w, which gives w = 96.\n\nThus, the final answer is w = \\boxed{96}.",
"index": 21346,
"question": "Suppose a collection of variables is related by the following definitions: y = d + 14; e = q + 7; r = e + 14; q = 16; u = g + 15; m = r + 7; j = l + 3; v = u + 20; l = v + 6; h = j + 17; d = m + 18; w = y + 20; g = q + 6. Given that q = 16, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 8", "p": "z + 17", "n": "p + 14", "k": "n + 19", "t": "k + 9", "f": "t + 1", "w": "a + 14", "g": "w + 17", "d": "g + 19", "m": "d + 20", "y": "m + 17", "x": "y + 7", "a": 9}, "premises": {"a": 9}, "target": "f"}, "answer": {"steps": [["t", "k + 9", "k + 10"], ["k", "n + 19", "n + 29"], ["n", "p + 14", "p + 43"], ["p", "z + 17", "z + 60"], ["z", "a + 8", "a + 68"], ["a", 9, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"a": 9}, "is_reverse": true}} | 21,347 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = t + 1; z = a + 8; a = 9; k = n + 19; n = p + 14; w = a + 14; t = k + 9; g = w + 17; p = z + 17; m = d + 20; x = y + 7; y = m + 17; d = g + 19. If a = 9, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 9 to f, which gives f = k + 10.\n2. Substitute k = n + 19 to f, which gives f = n + 29.\n3. Substitute n = p + 14 to f, which gives f = p + 43.\n4. Substitute p = z + 17 to f, which gives f = z + 60.\n5. Substitute z = a + 8 to f, which gives f = a + 68.\n6. Substitute a = 9 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 21347,
"question": "Consider a system of variables where each variable is defined as follows: f = t + 1; z = a + 8; a = 9; k = n + 19; n = p + 14; w = a + 14; t = k + 9; g = w + 17; p = z + 17; m = d + 20; x = y + 7; y = m + 17; d = g + 19. If a = 9, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"y": "t + 8", "u": "y + 8", "l": "u + 6", "g": "l + 7", "j": "g + 6", "c": "j + 19", "p": "t + 6", "d": "p + 20", "q": "d + 10", "b": "q + 3", "n": "b + 15", "e": "n + 4", "t": 19}, "premises": {"t": 19}, "target": "c"}, "answer": {"steps": [["j", "g + 6", "g + 25"], ["g", "l + 7", "l + 32"], ["l", "u + 6", "u + 38"], ["u", "y + 8", "y + 46"], ["y", "t + 8", "t + 54"], ["t", 19, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"t": 19}, "is_reverse": true}} | 21,348 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = j + 19; p = t + 6; n = b + 15; u = y + 8; g = l + 7; l = u + 6; t = 19; d = p + 20; b = q + 3; e = n + 4; y = t + 8; q = d + 10; j = g + 6. If t = 19, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 6 to c, which gives c = g + 25.\n2. Substitute g = l + 7 to c, which gives c = l + 32.\n3. Substitute l = u + 6 to c, which gives c = u + 38.\n4. Substitute u = y + 8 to c, which gives c = y + 46.\n5. Substitute y = t + 8 to c, which gives c = t + 54.\n6. Substitute t = 19 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 21348,
"question": "Consider a system of variables where each variable is defined as follows: c = j + 19; p = t + 6; n = b + 15; u = y + 8; g = l + 7; l = u + 6; t = 19; d = p + 20; b = q + 3; e = n + 4; y = t + 8; q = d + 10; j = g + 6. If t = 19, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "x + 17", "a": "q + 15", "e": "a + 18", "r": "e + 2", "u": "r + 2", "j": "u + 12", "l": "x + 15", "s": "l + 1", "p": "s + 12", "v": "p + 8", "t": "v + 1", "c": "t + 10", "x": 20}, "premises": {"x": 20}, "target": "j"}, "answer": {"steps": [["u", "r + 2", "r + 14"], ["r", "e + 2", "e + 16"], ["e", "a + 18", "a + 34"], ["a", "q + 15", "q + 49"], ["q", "x + 17", "x + 66"], ["x", 20, "86"]], "target_var_name": "j", "target_value": 86, "value_dict": {"x": 20}, "is_reverse": true}} | 21,349 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = p + 8; e = a + 18; p = s + 12; a = q + 15; r = e + 2; c = t + 10; s = l + 1; x = 20; u = r + 2; q = x + 17; t = v + 1; l = x + 15; j = u + 12. If x = 20, determine the value of j.",
"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 + 2 to j, which gives j = r + 14.\n2. Substitute r = e + 2 to j, which gives j = e + 16.\n3. Substitute e = a + 18 to j, which gives j = a + 34.\n4. Substitute a = q + 15 to j, which gives j = q + 49.\n5. Substitute q = x + 17 to j, which gives j = x + 66.\n6. Substitute x = 20 to j, which gives j = 86.\n\nThus, the final answer is j = \\boxed{86}.",
"index": 21349,
"question": "Consider a system of variables where each variable is defined as follows: v = p + 8; e = a + 18; p = s + 12; a = q + 15; r = e + 2; c = t + 10; s = l + 1; x = 20; u = r + 2; q = x + 17; t = v + 1; l = x + 15; j = u + 12. If x = 20, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 1", "n": "d + 14", "g": "n + 16", "x": "g + 1", "e": "x + 19", "s": "e + 20", "y": "t + 11", "w": "y + 19", "c": "w + 9", "l": "c + 7", "z": "l + 19", "u": "z + 3", "t": 13}, "premises": {"t": 13}, "target": "s"}, "answer": {"steps": [["e", "x + 19", "x + 39"], ["x", "g + 1", "g + 40"], ["g", "n + 16", "n + 56"], ["n", "d + 14", "d + 70"], ["d", "t + 1", "t + 71"], ["t", 13, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"t": 13}, "is_reverse": true}} | 21,350 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = d + 14; t = 13; c = w + 9; y = t + 11; w = y + 19; u = z + 3; l = c + 7; z = l + 19; d = t + 1; s = e + 20; e = x + 19; x = g + 1; g = n + 16. If t = 13, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 19 to s, which gives s = x + 39.\n2. Substitute x = g + 1 to s, which gives s = g + 40.\n3. Substitute g = n + 16 to s, which gives s = n + 56.\n4. Substitute n = d + 14 to s, which gives s = d + 70.\n5. Substitute d = t + 1 to s, which gives s = t + 71.\n6. Substitute t = 13 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 21350,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = d + 14; t = 13; c = w + 9; y = t + 11; w = y + 19; u = z + 3; l = c + 7; z = l + 19; d = t + 1; s = e + 20; e = x + 19; x = g + 1; g = n + 16. If t = 13, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 5", "q": "h + 10", "n": "q + 12", "r": "n + 9", "i": "r + 5", "u": "i + 9", "f": "x + 5", "o": "f + 6", "m": "o + 14", "g": "m + 1", "b": "g + 17", "p": "b + 12", "x": 8}, "premises": {"x": 8}, "target": "u"}, "answer": {"steps": [["i", "r + 5", "r + 14"], ["r", "n + 9", "n + 23"], ["n", "q + 12", "q + 35"], ["q", "h + 10", "h + 45"], ["h", "x + 5", "x + 50"], ["x", 8, "58"]], "target_var_name": "u", "target_value": 58, "value_dict": {"x": 8}, "is_reverse": true}} | 21,351 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = r + 5; g = m + 1; r = n + 9; q = h + 10; o = f + 6; u = i + 9; p = b + 12; n = q + 12; f = x + 5; x = 8; h = x + 5; b = g + 17; m = o + 14. Given that x = 8, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 5 to u, which gives u = r + 14.\n2. Substitute r = n + 9 to u, which gives u = n + 23.\n3. Substitute n = q + 12 to u, which gives u = q + 35.\n4. Substitute q = h + 10 to u, which gives u = h + 45.\n5. Substitute h = x + 5 to u, which gives u = x + 50.\n6. Substitute x = 8 to u, which gives u = 58.\n\nThus, the final answer is u = \\boxed{58}.",
"index": 21351,
"question": "Suppose a collection of variables is related by the following definitions: i = r + 5; g = m + 1; r = n + 9; q = h + 10; o = f + 6; u = i + 9; p = b + 12; n = q + 12; f = x + 5; x = 8; h = x + 5; b = g + 17; m = o + 14. Given that x = 8, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 5", "h": "a + 17", "u": "h + 11", "d": "u + 3", "n": "d + 9", "v": "n + 8", "w": "i + 10", "s": "w + 15", "c": "s + 4", "q": "c + 4", "f": "q + 7", "j": "f + 12", "i": 2}, "premises": {"i": 2}, "target": "v"}, "answer": {"steps": [["n", "d + 9", "d + 17"], ["d", "u + 3", "u + 20"], ["u", "h + 11", "h + 31"], ["h", "a + 17", "a + 48"], ["a", "i + 5", "i + 53"], ["i", 2, "55"]], "target_var_name": "v", "target_value": 55, "value_dict": {"i": 2}, "is_reverse": true}} | 21,352 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = w + 15; u = h + 11; a = i + 5; f = q + 7; h = a + 17; n = d + 9; w = i + 10; d = u + 3; i = 2; v = n + 8; j = f + 12; c = s + 4; q = c + 4. If i = 2, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 9 to v, which gives v = d + 17.\n2. Substitute d = u + 3 to v, which gives v = u + 20.\n3. Substitute u = h + 11 to v, which gives v = h + 31.\n4. Substitute h = a + 17 to v, which gives v = a + 48.\n5. Substitute a = i + 5 to v, which gives v = i + 53.\n6. Substitute i = 2 to v, which gives v = 55.\n\nThus, the final answer is v = \\boxed{55}.",
"index": 21352,
"question": "Consider a system of variables where each variable is defined as follows: s = w + 15; u = h + 11; a = i + 5; f = q + 7; h = a + 17; n = d + 9; w = i + 10; d = u + 3; i = 2; v = n + 8; j = f + 12; c = s + 4; q = c + 4. If i = 2, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"u": "h + 12", "w": "u + 3", "g": "w + 14", "j": "g + 18", "z": "j + 7", "n": "z + 11", "y": "h + 14", "m": "y + 2", "l": "m + 4", "e": "l + 4", "r": "e + 20", "a": "r + 19", "h": 2}, "premises": {"h": 2}, "target": "n"}, "answer": {"steps": [["z", "j + 7", "j + 18"], ["j", "g + 18", "g + 36"], ["g", "w + 14", "w + 50"], ["w", "u + 3", "u + 53"], ["u", "h + 12", "h + 65"], ["h", 2, "67"]], "target_var_name": "n", "target_value": 67, "value_dict": {"h": 2}, "is_reverse": true}} | 21,353 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = u + 3; e = l + 4; u = h + 12; g = w + 14; z = j + 7; m = y + 2; j = g + 18; r = e + 20; h = 2; y = h + 14; n = z + 11; a = r + 19; l = m + 4. Given that h = 2, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 7 to n, which gives n = j + 18.\n2. Substitute j = g + 18 to n, which gives n = g + 36.\n3. Substitute g = w + 14 to n, which gives n = w + 50.\n4. Substitute w = u + 3 to n, which gives n = u + 53.\n5. Substitute u = h + 12 to n, which gives n = h + 65.\n6. Substitute h = 2 to n, which gives n = 67.\n\nThus, the final answer is n = \\boxed{67}.",
"index": 21353,
"question": "Suppose a collection of variables is related by the following definitions: w = u + 3; e = l + 4; u = h + 12; g = w + 14; z = j + 7; m = y + 2; j = g + 18; r = e + 20; h = 2; y = h + 14; n = z + 11; a = r + 19; l = m + 4. Given that h = 2, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"j": "r + 11", "l": "j + 10", "z": "l + 11", "h": "z + 14", "i": "h + 19", "x": "i + 9", "g": "r + 19", "p": "g + 6", "k": "p + 2", "t": "k + 15", "u": "t + 19", "e": "u + 18", "r": 7}, "premises": {"r": 7}, "target": "x"}, "answer": {"steps": [["i", "h + 19", "h + 28"], ["h", "z + 14", "z + 42"], ["z", "l + 11", "l + 53"], ["l", "j + 10", "j + 63"], ["j", "r + 11", "r + 74"], ["r", 7, "81"]], "target_var_name": "x", "target_value": 81, "value_dict": {"r": 7}, "is_reverse": true}} | 21,354 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = t + 19; l = j + 10; g = r + 19; h = z + 14; p = g + 6; t = k + 15; r = 7; j = r + 11; x = i + 9; i = h + 19; k = p + 2; e = u + 18; z = l + 11. If r = 7, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 19 to x, which gives x = h + 28.\n2. Substitute h = z + 14 to x, which gives x = z + 42.\n3. Substitute z = l + 11 to x, which gives x = l + 53.\n4. Substitute l = j + 10 to x, which gives x = j + 63.\n5. Substitute j = r + 11 to x, which gives x = r + 74.\n6. Substitute r = 7 to x, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 21354,
"question": "Consider a system of variables where each variable is defined as follows: u = t + 19; l = j + 10; g = r + 19; h = z + 14; p = g + 6; t = k + 15; r = 7; j = r + 11; x = i + 9; i = h + 19; k = p + 2; e = u + 18; z = l + 11. If r = 7, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 18", "b": "i + 20", "y": "b + 20", "n": "y + 18", "h": "n + 16", "r": "h + 12", "u": "w + 13", "z": "u + 19", "p": "z + 17", "c": "p + 11", "k": "c + 8", "x": "k + 14", "w": 19}, "premises": {"w": 19}, "target": "r"}, "answer": {"steps": [["h", "n + 16", "n + 28"], ["n", "y + 18", "y + 46"], ["y", "b + 20", "b + 66"], ["b", "i + 20", "i + 86"], ["i", "w + 18", "w + 104"], ["w", 19, "123"]], "target_var_name": "r", "target_value": 123, "value_dict": {"w": 19}, "is_reverse": true}} | 21,355 | 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 = n + 16; b = i + 20; w = 19; x = k + 14; c = p + 11; i = w + 18; p = z + 17; r = h + 12; k = c + 8; y = b + 20; z = u + 19; u = w + 13; n = y + 18. If w = 19, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 123,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 16 to r, which gives r = n + 28.\n2. Substitute n = y + 18 to r, which gives r = y + 46.\n3. Substitute y = b + 20 to r, which gives r = b + 66.\n4. Substitute b = i + 20 to r, which gives r = i + 86.\n5. Substitute i = w + 18 to r, which gives r = w + 104.\n6. Substitute w = 19 to r, which gives r = 123.\n\nThus, the final answer is r = \\boxed{123}.",
"index": 21355,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 16; b = i + 20; w = 19; x = k + 14; c = p + 11; i = w + 18; p = z + 17; r = h + 12; k = c + 8; y = b + 20; z = u + 19; u = w + 13; n = y + 18. If w = 19, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 4", "h": "f + 15", "d": "h + 16", "l": "d + 6", "o": "l + 11", "a": "o + 19", "s": "j + 1", "e": "s + 10", "i": "e + 13", "q": "i + 14", "r": "q + 2", "t": "r + 5", "j": 1}, "premises": {"j": 1}, "target": "a"}, "answer": {"steps": [["o", "l + 11", "l + 30"], ["l", "d + 6", "d + 36"], ["d", "h + 16", "h + 52"], ["h", "f + 15", "f + 67"], ["f", "j + 4", "j + 71"], ["j", 1, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"j": 1}, "is_reverse": true}} | 21,356 | 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 = q + 2; o = l + 11; h = f + 15; q = i + 14; s = j + 1; a = o + 19; j = 1; d = h + 16; i = e + 13; f = j + 4; e = s + 10; t = r + 5; l = d + 6. If j = 1, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 11 to a, which gives a = l + 30.\n2. Substitute l = d + 6 to a, which gives a = d + 36.\n3. Substitute d = h + 16 to a, which gives a = h + 52.\n4. Substitute h = f + 15 to a, which gives a = f + 67.\n5. Substitute f = j + 4 to a, which gives a = j + 71.\n6. Substitute j = 1 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 21356,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = q + 2; o = l + 11; h = f + 15; q = i + 14; s = j + 1; a = o + 19; j = 1; d = h + 16; i = e + 13; f = j + 4; e = s + 10; t = r + 5; l = d + 6. If j = 1, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 4", "l": "i + 10", "m": "l + 9", "f": "m + 20", "t": "f + 17", "g": "t + 11", "x": "z + 5", "p": "x + 10", "c": "p + 6", "b": "c + 8", "a": "b + 14", "k": "a + 1", "z": 2}, "premises": {"z": 2}, "target": "g"}, "answer": {"steps": [["t", "f + 17", "f + 28"], ["f", "m + 20", "m + 48"], ["m", "l + 9", "l + 57"], ["l", "i + 10", "i + 67"], ["i", "z + 4", "z + 71"], ["z", 2, "73"]], "target_var_name": "g", "target_value": 73, "value_dict": {"z": 2}, "is_reverse": true}} | 21,357 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = l + 9; f = m + 20; c = p + 6; b = c + 8; l = i + 10; z = 2; i = z + 4; t = f + 17; k = a + 1; a = b + 14; g = t + 11; x = z + 5; p = x + 10. If z = 2, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = f + 17 to g, which gives g = f + 28.\n2. Substitute f = m + 20 to g, which gives g = m + 48.\n3. Substitute m = l + 9 to g, which gives g = l + 57.\n4. Substitute l = i + 10 to g, which gives g = i + 67.\n5. Substitute i = z + 4 to g, which gives g = z + 71.\n6. Substitute z = 2 to g, which gives g = 73.\n\nThus, the final answer is g = \\boxed{73}.",
"index": 21357,
"question": "Consider a system of variables where each variable is defined as follows: m = l + 9; f = m + 20; c = p + 6; b = c + 8; l = i + 10; z = 2; i = z + 4; t = f + 17; k = a + 1; a = b + 14; g = t + 11; x = z + 5; p = x + 10. If z = 2, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 17", "c": "s + 10", "h": "c + 3", "a": "h + 6", "m": "a + 20", "k": "m + 20", "q": "w + 16", "b": "q + 2", "v": "b + 16", "x": "v + 1", "j": "x + 12", "f": "j + 14", "w": 2}, "premises": {"w": 2}, "target": "k"}, "answer": {"steps": [["m", "a + 20", "a + 40"], ["a", "h + 6", "h + 46"], ["h", "c + 3", "c + 49"], ["c", "s + 10", "s + 59"], ["s", "w + 17", "w + 76"], ["w", 2, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"w": 2}, "is_reverse": true}} | 21,358 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = w + 16; s = w + 17; x = v + 1; h = c + 3; m = a + 20; v = b + 16; c = s + 10; j = x + 12; b = q + 2; a = h + 6; f = j + 14; k = m + 20; w = 2. If w = 2, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 20 to k, which gives k = a + 40.\n2. Substitute a = h + 6 to k, which gives k = h + 46.\n3. Substitute h = c + 3 to k, which gives k = c + 49.\n4. Substitute c = s + 10 to k, which gives k = s + 59.\n5. Substitute s = w + 17 to k, which gives k = w + 76.\n6. Substitute w = 2 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 21358,
"question": "Consider a system of variables where each variable is defined as follows: q = w + 16; s = w + 17; x = v + 1; h = c + 3; m = a + 20; v = b + 16; c = s + 10; j = x + 12; b = q + 2; a = h + 6; f = j + 14; k = m + 20; w = 2. If w = 2, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 13", "u": "e + 14", "g": "u + 12", "v": "g + 19", "a": "v + 19", "t": "a + 8", "i": "j + 5", "d": "i + 8", "h": "d + 11", "p": "h + 16", "q": "p + 4", "s": "q + 10", "j": 5}, "premises": {"j": 5}, "target": "t"}, "answer": {"steps": [["a", "v + 19", "v + 27"], ["v", "g + 19", "g + 46"], ["g", "u + 12", "u + 58"], ["u", "e + 14", "e + 72"], ["e", "j + 13", "j + 85"], ["j", 5, "90"]], "target_var_name": "t", "target_value": 90, "value_dict": {"j": 5}, "is_reverse": true}} | 21,359 | 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 = j + 5; a = v + 19; e = j + 13; p = h + 16; t = a + 8; q = p + 4; j = 5; d = i + 8; u = e + 14; g = u + 12; s = q + 10; v = g + 19; h = d + 11. If j = 5, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 19 to t, which gives t = v + 27.\n2. Substitute v = g + 19 to t, which gives t = g + 46.\n3. Substitute g = u + 12 to t, which gives t = u + 58.\n4. Substitute u = e + 14 to t, which gives t = e + 72.\n5. Substitute e = j + 13 to t, which gives t = j + 85.\n6. Substitute j = 5 to t, which gives t = 90.\n\nThus, the final answer is t = \\boxed{90}.",
"index": 21359,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = j + 5; a = v + 19; e = j + 13; p = h + 16; t = a + 8; q = p + 4; j = 5; d = i + 8; u = e + 14; g = u + 12; s = q + 10; v = g + 19; h = d + 11. If j = 5, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"w": "c + 13", "b": "w + 10", "d": "b + 18", "y": "d + 14", "h": "y + 19", "u": "h + 4", "p": "c + 17", "v": "p + 16", "j": "v + 11", "t": "j + 20", "i": "t + 11", "e": "i + 19", "c": 12}, "premises": {"c": 12}, "target": "u"}, "answer": {"steps": [["h", "y + 19", "y + 23"], ["y", "d + 14", "d + 37"], ["d", "b + 18", "b + 55"], ["b", "w + 10", "w + 65"], ["w", "c + 13", "c + 78"], ["c", 12, "90"]], "target_var_name": "u", "target_value": 90, "value_dict": {"c": 12}, "is_reverse": true}} | 21,360 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = c + 17; i = t + 11; c = 12; b = w + 10; w = c + 13; h = y + 19; v = p + 16; u = h + 4; t = j + 20; e = i + 19; d = b + 18; j = v + 11; y = d + 14. If c = 12, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 19 to u, which gives u = y + 23.\n2. Substitute y = d + 14 to u, which gives u = d + 37.\n3. Substitute d = b + 18 to u, which gives u = b + 55.\n4. Substitute b = w + 10 to u, which gives u = w + 65.\n5. Substitute w = c + 13 to u, which gives u = c + 78.\n6. Substitute c = 12 to u, which gives u = 90.\n\nThus, the final answer is u = \\boxed{90}.",
"index": 21360,
"question": "Consider a system of variables where each variable is defined as follows: p = c + 17; i = t + 11; c = 12; b = w + 10; w = c + 13; h = y + 19; v = p + 16; u = h + 4; t = j + 20; e = i + 19; d = b + 18; j = v + 11; y = d + 14. If c = 12, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"t": "i + 7", "b": "t + 5", "h": "b + 11", "d": "h + 12", "v": "d + 11", "o": "v + 8", "y": "i + 6", "s": "y + 15", "e": "s + 2", "z": "e + 3", "u": "z + 7", "c": "u + 18", "i": 6}, "premises": {"i": 6}, "target": "o"}, "answer": {"steps": [["v", "d + 11", "d + 19"], ["d", "h + 12", "h + 31"], ["h", "b + 11", "b + 42"], ["b", "t + 5", "t + 47"], ["t", "i + 7", "i + 54"], ["i", 6, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"i": 6}, "is_reverse": true}} | 21,361 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = s + 2; b = t + 5; s = y + 15; i = 6; v = d + 11; c = u + 18; t = i + 7; z = e + 3; d = h + 12; y = i + 6; u = z + 7; h = b + 11; o = v + 8. If i = 6, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 11 to o, which gives o = d + 19.\n2. Substitute d = h + 12 to o, which gives o = h + 31.\n3. Substitute h = b + 11 to o, which gives o = b + 42.\n4. Substitute b = t + 5 to o, which gives o = t + 47.\n5. Substitute t = i + 7 to o, which gives o = i + 54.\n6. Substitute i = 6 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 21361,
"question": "Consider a system of variables where each variable is defined as follows: e = s + 2; b = t + 5; s = y + 15; i = 6; v = d + 11; c = u + 18; t = i + 7; z = e + 3; d = h + 12; y = i + 6; u = z + 7; h = b + 11; o = v + 8. If i = 6, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 11", "c": "s + 7", "m": "c + 12", "b": "m + 7", "n": "b + 18", "r": "n + 14", "z": "t + 8", "g": "z + 1", "k": "g + 18", "y": "k + 18", "v": "y + 8", "e": "v + 6", "t": 4}, "premises": {"t": 4}, "target": "r"}, "answer": {"steps": [["n", "b + 18", "b + 32"], ["b", "m + 7", "m + 39"], ["m", "c + 12", "c + 51"], ["c", "s + 7", "s + 58"], ["s", "t + 11", "t + 69"], ["t", 4, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"t": 4}, "is_reverse": true}} | 21,362 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = y + 8; b = m + 7; n = b + 18; z = t + 8; m = c + 12; c = s + 7; r = n + 14; k = g + 18; y = k + 18; g = z + 1; e = v + 6; s = t + 11; t = 4. If t = 4, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 18 to r, which gives r = b + 32.\n2. Substitute b = m + 7 to r, which gives r = m + 39.\n3. Substitute m = c + 12 to r, which gives r = c + 51.\n4. Substitute c = s + 7 to r, which gives r = s + 58.\n5. Substitute s = t + 11 to r, which gives r = t + 69.\n6. Substitute t = 4 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 21362,
"question": "Consider a system of variables where each variable is defined as follows: v = y + 8; b = m + 7; n = b + 18; z = t + 8; m = c + 12; c = s + 7; r = n + 14; k = g + 18; y = k + 18; g = z + 1; e = v + 6; s = t + 11; t = 4. If t = 4, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 12", "o": "s + 4", "a": "o + 6", "z": "a + 14", "d": "z + 19", "j": "d + 1", "l": "y + 15", "m": "l + 20", "b": "m + 3", "e": "b + 17", "k": "e + 18", "h": "k + 13", "y": 4}, "premises": {"y": 4}, "target": "j"}, "answer": {"steps": [["d", "z + 19", "z + 20"], ["z", "a + 14", "a + 34"], ["a", "o + 6", "o + 40"], ["o", "s + 4", "s + 44"], ["s", "y + 12", "y + 56"], ["y", 4, "60"]], "target_var_name": "j", "target_value": 60, "value_dict": {"y": 4}, "is_reverse": true}} | 21,363 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 13; z = a + 14; y = 4; s = y + 12; a = o + 6; k = e + 18; d = z + 19; e = b + 17; j = d + 1; o = s + 4; m = l + 20; b = m + 3; l = y + 15. If y = 4, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 19 to j, which gives j = z + 20.\n2. Substitute z = a + 14 to j, which gives j = a + 34.\n3. Substitute a = o + 6 to j, which gives j = o + 40.\n4. Substitute o = s + 4 to j, which gives j = s + 44.\n5. Substitute s = y + 12 to j, which gives j = y + 56.\n6. Substitute y = 4 to j, which gives j = 60.\n\nThus, the final answer is j = \\boxed{60}.",
"index": 21363,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 13; z = a + 14; y = 4; s = y + 12; a = o + 6; k = e + 18; d = z + 19; e = b + 17; j = d + 1; o = s + 4; m = l + 20; b = m + 3; l = y + 15. If y = 4, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"r": "l + 20", "u": "r + 18", "p": "u + 5", "s": "p + 15", "a": "s + 7", "q": "a + 12", "f": "l + 9", "y": "f + 16", "g": "y + 18", "d": "g + 2", "n": "d + 16", "k": "n + 17", "l": 11}, "premises": {"l": 11}, "target": "q"}, "answer": {"steps": [["a", "s + 7", "s + 19"], ["s", "p + 15", "p + 34"], ["p", "u + 5", "u + 39"], ["u", "r + 18", "r + 57"], ["r", "l + 20", "l + 77"], ["l", 11, "88"]], "target_var_name": "q", "target_value": 88, "value_dict": {"l": 11}, "is_reverse": true}} | 21,364 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = l + 9; u = r + 18; q = a + 12; p = u + 5; d = g + 2; r = l + 20; n = d + 16; l = 11; k = n + 17; g = y + 18; a = s + 7; s = p + 15; y = f + 16. If l = 11, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 7 to q, which gives q = s + 19.\n2. Substitute s = p + 15 to q, which gives q = p + 34.\n3. Substitute p = u + 5 to q, which gives q = u + 39.\n4. Substitute u = r + 18 to q, which gives q = r + 57.\n5. Substitute r = l + 20 to q, which gives q = l + 77.\n6. Substitute l = 11 to q, which gives q = 88.\n\nThus, the final answer is q = \\boxed{88}.",
"index": 21364,
"question": "Consider a system of variables where each variable is defined as follows: f = l + 9; u = r + 18; q = a + 12; p = u + 5; d = g + 2; r = l + 20; n = d + 16; l = 11; k = n + 17; g = y + 18; a = s + 7; s = p + 15; y = f + 16. If l = 11, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"u": "l + 4", "i": "u + 3", "c": "i + 19", "j": "c + 15", "r": "j + 16", "k": "r + 17", "y": "l + 9", "q": "y + 17", "b": "q + 11", "m": "b + 11", "x": "m + 6", "f": "x + 15", "l": 9}, "premises": {"l": 9}, "target": "k"}, "answer": {"steps": [["r", "j + 16", "j + 33"], ["j", "c + 15", "c + 48"], ["c", "i + 19", "i + 67"], ["i", "u + 3", "u + 70"], ["u", "l + 4", "l + 74"], ["l", 9, "83"]], "target_var_name": "k", "target_value": 83, "value_dict": {"l": 9}, "is_reverse": true}} | 21,365 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = l + 4; b = q + 11; x = m + 6; k = r + 17; i = u + 3; q = y + 17; f = x + 15; j = c + 15; c = i + 19; l = 9; r = j + 16; m = b + 11; y = l + 9. If l = 9, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 16 to k, which gives k = j + 33.\n2. Substitute j = c + 15 to k, which gives k = c + 48.\n3. Substitute c = i + 19 to k, which gives k = i + 67.\n4. Substitute i = u + 3 to k, which gives k = u + 70.\n5. Substitute u = l + 4 to k, which gives k = l + 74.\n6. Substitute l = 9 to k, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 21365,
"question": "Consider a system of variables where each variable is defined as follows: u = l + 4; b = q + 11; x = m + 6; k = r + 17; i = u + 3; q = y + 17; f = x + 15; j = c + 15; c = i + 19; l = 9; r = j + 16; m = b + 11; y = l + 9. If l = 9, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"f": "m + 9", "g": "f + 14", "b": "g + 12", "x": "b + 19", "e": "x + 11", "k": "e + 13", "d": "m + 2", "n": "d + 8", "u": "n + 19", "r": "u + 3", "p": "r + 7", "t": "p + 10", "m": 12}, "premises": {"m": 12}, "target": "k"}, "answer": {"steps": [["e", "x + 11", "x + 24"], ["x", "b + 19", "b + 43"], ["b", "g + 12", "g + 55"], ["g", "f + 14", "f + 69"], ["f", "m + 9", "m + 78"], ["m", 12, "90"]], "target_var_name": "k", "target_value": 90, "value_dict": {"m": 12}, "is_reverse": true}} | 21,366 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = r + 7; t = p + 10; g = f + 14; d = m + 2; e = x + 11; b = g + 12; r = u + 3; n = d + 8; x = b + 19; u = n + 19; k = e + 13; f = m + 9; m = 12. Given that m = 12, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 11 to k, which gives k = x + 24.\n2. Substitute x = b + 19 to k, which gives k = b + 43.\n3. Substitute b = g + 12 to k, which gives k = g + 55.\n4. Substitute g = f + 14 to k, which gives k = f + 69.\n5. Substitute f = m + 9 to k, which gives k = m + 78.\n6. Substitute m = 12 to k, which gives k = 90.\n\nThus, the final answer is k = \\boxed{90}.",
"index": 21366,
"question": "Suppose a collection of variables is related by the following definitions: p = r + 7; t = p + 10; g = f + 14; d = m + 2; e = x + 11; b = g + 12; r = u + 3; n = d + 8; x = b + 19; u = n + 19; k = e + 13; f = m + 9; m = 12. Given that m = 12, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 15", "k": "l + 14", "a": "k + 14", "r": "a + 3", "q": "r + 11", "z": "q + 3", "j": "w + 20", "m": "j + 7", "p": "m + 18", "x": "p + 14", "o": "x + 4", "n": "o + 8", "w": 15}, "premises": {"w": 15}, "target": "z"}, "answer": {"steps": [["q", "r + 11", "r + 14"], ["r", "a + 3", "a + 17"], ["a", "k + 14", "k + 31"], ["k", "l + 14", "l + 45"], ["l", "w + 15", "w + 60"], ["w", 15, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"w": 15}, "is_reverse": true}} | 21,367 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = 15; a = k + 14; m = j + 7; x = p + 14; p = m + 18; r = a + 3; z = q + 3; o = x + 4; l = w + 15; j = w + 20; n = o + 8; k = l + 14; q = r + 11. Given that w = 15, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 11 to z, which gives z = r + 14.\n2. Substitute r = a + 3 to z, which gives z = a + 17.\n3. Substitute a = k + 14 to z, which gives z = k + 31.\n4. Substitute k = l + 14 to z, which gives z = l + 45.\n5. Substitute l = w + 15 to z, which gives z = w + 60.\n6. Substitute w = 15 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 21367,
"question": "Suppose a collection of variables is related by the following definitions: w = 15; a = k + 14; m = j + 7; x = p + 14; p = m + 18; r = a + 3; z = q + 3; o = x + 4; l = w + 15; j = w + 20; n = o + 8; k = l + 14; q = r + 11. Given that w = 15, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 15", "k": "z + 13", "d": "k + 7", "j": "d + 14", "l": "j + 6", "y": "l + 20", "f": "s + 13", "n": "f + 20", "h": "n + 20", "w": "h + 15", "c": "w + 7", "o": "c + 11", "s": 10}, "premises": {"s": 10}, "target": "y"}, "answer": {"steps": [["l", "j + 6", "j + 26"], ["j", "d + 14", "d + 40"], ["d", "k + 7", "k + 47"], ["k", "z + 13", "z + 60"], ["z", "s + 15", "s + 75"], ["s", 10, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"s": 10}, "is_reverse": true}} | 21,368 | 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 = z + 13; h = n + 20; c = w + 7; y = l + 20; f = s + 13; l = j + 6; j = d + 14; d = k + 7; s = 10; o = c + 11; z = s + 15; w = h + 15; n = f + 20. If s = 10, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 6 to y, which gives y = j + 26.\n2. Substitute j = d + 14 to y, which gives y = d + 40.\n3. Substitute d = k + 7 to y, which gives y = k + 47.\n4. Substitute k = z + 13 to y, which gives y = z + 60.\n5. Substitute z = s + 15 to y, which gives y = s + 75.\n6. Substitute s = 10 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 21368,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 13; h = n + 20; c = w + 7; y = l + 20; f = s + 13; l = j + 6; j = d + 14; d = k + 7; s = 10; o = c + 11; z = s + 15; w = h + 15; n = f + 20. If s = 10, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 10", "u": "z + 8", "f": "u + 6", "s": "f + 1", "j": "s + 11", "y": "j + 11", "x": "c + 2", "e": "x + 9", "r": "e + 14", "g": "r + 1", "v": "g + 16", "m": "v + 11", "c": 18}, "premises": {"c": 18}, "target": "y"}, "answer": {"steps": [["j", "s + 11", "s + 22"], ["s", "f + 1", "f + 23"], ["f", "u + 6", "u + 29"], ["u", "z + 8", "z + 37"], ["z", "c + 10", "c + 47"], ["c", 18, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"c": 18}, "is_reverse": true}} | 21,369 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = c + 2; f = u + 6; r = e + 14; e = x + 9; v = g + 16; y = j + 11; z = c + 10; c = 18; u = z + 8; g = r + 1; s = f + 1; j = s + 11; m = v + 11. If c = 18, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 11 to y, which gives y = s + 22.\n2. Substitute s = f + 1 to y, which gives y = f + 23.\n3. Substitute f = u + 6 to y, which gives y = u + 29.\n4. Substitute u = z + 8 to y, which gives y = z + 37.\n5. Substitute z = c + 10 to y, which gives y = c + 47.\n6. Substitute c = 18 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 21369,
"question": "Consider a system of variables where each variable is defined as follows: x = c + 2; f = u + 6; r = e + 14; e = x + 9; v = g + 16; y = j + 11; z = c + 10; c = 18; u = z + 8; g = r + 1; s = f + 1; j = s + 11; m = v + 11. If c = 18, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 3", "h": "k + 9", "g": "h + 9", "w": "g + 10", "q": "w + 11", "d": "q + 12", "t": "p + 5", "c": "t + 17", "v": "c + 2", "r": "v + 7", "j": "r + 15", "s": "j + 2", "p": 17}, "premises": {"p": 17}, "target": "d"}, "answer": {"steps": [["q", "w + 11", "w + 23"], ["w", "g + 10", "g + 33"], ["g", "h + 9", "h + 42"], ["h", "k + 9", "k + 51"], ["k", "p + 3", "p + 54"], ["p", 17, "71"]], "target_var_name": "d", "target_value": 71, "value_dict": {"p": 17}, "is_reverse": true}} | 21,370 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = k + 9; p = 17; q = w + 11; r = v + 7; j = r + 15; g = h + 9; d = q + 12; c = t + 17; v = c + 2; t = p + 5; s = j + 2; k = p + 3; w = g + 10. Given that p = 17, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 11 to d, which gives d = w + 23.\n2. Substitute w = g + 10 to d, which gives d = g + 33.\n3. Substitute g = h + 9 to d, which gives d = h + 42.\n4. Substitute h = k + 9 to d, which gives d = k + 51.\n5. Substitute k = p + 3 to d, which gives d = p + 54.\n6. Substitute p = 17 to d, which gives d = 71.\n\nThus, the final answer is d = \\boxed{71}.",
"index": 21370,
"question": "Suppose a collection of variables is related by the following definitions: h = k + 9; p = 17; q = w + 11; r = v + 7; j = r + 15; g = h + 9; d = q + 12; c = t + 17; v = c + 2; t = p + 5; s = j + 2; k = p + 3; w = g + 10. Given that p = 17, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 11", "r": "h + 18", "x": "r + 4", "d": "x + 5", "c": "d + 16", "m": "c + 20", "e": "u + 20", "w": "e + 5", "k": "w + 12", "g": "k + 15", "o": "g + 6", "q": "o + 2", "u": 16}, "premises": {"u": 16}, "target": "m"}, "answer": {"steps": [["c", "d + 16", "d + 36"], ["d", "x + 5", "x + 41"], ["x", "r + 4", "r + 45"], ["r", "h + 18", "h + 63"], ["h", "u + 11", "u + 74"], ["u", 16, "90"]], "target_var_name": "m", "target_value": 90, "value_dict": {"u": 16}, "is_reverse": true}} | 21,371 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = d + 16; o = g + 6; m = c + 20; h = u + 11; g = k + 15; d = x + 5; r = h + 18; q = o + 2; u = 16; e = u + 20; x = r + 4; k = w + 12; w = e + 5. If u = 16, 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 c = d + 16 to m, which gives m = d + 36.\n2. Substitute d = x + 5 to m, which gives m = x + 41.\n3. Substitute x = r + 4 to m, which gives m = r + 45.\n4. Substitute r = h + 18 to m, which gives m = h + 63.\n5. Substitute h = u + 11 to m, which gives m = u + 74.\n6. Substitute u = 16 to m, which gives m = 90.\n\nThus, the final answer is m = \\boxed{90}.",
"index": 21371,
"question": "Consider a system of variables where each variable is defined as follows: c = d + 16; o = g + 6; m = c + 20; h = u + 11; g = k + 15; d = x + 5; r = h + 18; q = o + 2; u = 16; e = u + 20; x = r + 4; k = w + 12; w = e + 5. If u = 16, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"u": "y + 12", "q": "u + 4", "i": "q + 1", "o": "i + 4", "w": "o + 3", "d": "w + 8", "f": "y + 4", "e": "f + 1", "m": "e + 16", "p": "m + 18", "c": "p + 7", "t": "c + 14", "y": 9}, "premises": {"y": 9}, "target": "d"}, "answer": {"steps": [["w", "o + 3", "o + 11"], ["o", "i + 4", "i + 15"], ["i", "q + 1", "q + 16"], ["q", "u + 4", "u + 20"], ["u", "y + 12", "y + 32"], ["y", 9, "41"]], "target_var_name": "d", "target_value": 41, "value_dict": {"y": 9}, "is_reverse": true}} | 21,372 | 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 = q + 1; m = e + 16; q = u + 4; w = o + 3; d = w + 8; p = m + 18; t = c + 14; e = f + 1; u = y + 12; c = p + 7; o = i + 4; y = 9; f = y + 4. If y = 9, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 3 to d, which gives d = o + 11.\n2. Substitute o = i + 4 to d, which gives d = i + 15.\n3. Substitute i = q + 1 to d, which gives d = q + 16.\n4. Substitute q = u + 4 to d, which gives d = u + 20.\n5. Substitute u = y + 12 to d, which gives d = y + 32.\n6. Substitute y = 9 to d, which gives d = 41.\n\nThus, the final answer is d = \\boxed{41}.",
"index": 21372,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 1; m = e + 16; q = u + 4; w = o + 3; d = w + 8; p = m + 18; t = c + 14; e = f + 1; u = y + 12; c = p + 7; o = i + 4; y = 9; f = y + 4. If y = 9, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 5", "p": "a + 8", "t": "p + 6", "j": "t + 4", "f": "j + 8", "b": "f + 11", "r": "v + 7", "o": "r + 3", "x": "o + 11", "i": "x + 18", "d": "i + 6", "w": "d + 12", "v": 9}, "premises": {"v": 9}, "target": "b"}, "answer": {"steps": [["f", "j + 8", "j + 19"], ["j", "t + 4", "t + 23"], ["t", "p + 6", "p + 29"], ["p", "a + 8", "a + 37"], ["a", "v + 5", "v + 42"], ["v", 9, "51"]], "target_var_name": "b", "target_value": 51, "value_dict": {"v": 9}, "is_reverse": true}} | 21,373 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = j + 8; d = i + 6; j = t + 4; o = r + 3; r = v + 7; t = p + 6; b = f + 11; a = v + 5; p = a + 8; i = x + 18; v = 9; x = o + 11; w = d + 12. If v = 9, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 8 to b, which gives b = j + 19.\n2. Substitute j = t + 4 to b, which gives b = t + 23.\n3. Substitute t = p + 6 to b, which gives b = p + 29.\n4. Substitute p = a + 8 to b, which gives b = a + 37.\n5. Substitute a = v + 5 to b, which gives b = v + 42.\n6. Substitute v = 9 to b, which gives b = 51.\n\nThus, the final answer is b = \\boxed{51}.",
"index": 21373,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = j + 8; d = i + 6; j = t + 4; o = r + 3; r = v + 7; t = p + 6; b = f + 11; a = v + 5; p = a + 8; i = x + 18; v = 9; x = o + 11; w = d + 12. If v = 9, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"c": "d + 10", "z": "c + 9", "r": "z + 2", "b": "r + 3", "u": "b + 12", "j": "u + 20", "l": "d + 18", "v": "l + 19", "g": "v + 7", "k": "g + 12", "o": "k + 14", "y": "o + 16", "d": 20}, "premises": {"d": 20}, "target": "j"}, "answer": {"steps": [["u", "b + 12", "b + 32"], ["b", "r + 3", "r + 35"], ["r", "z + 2", "z + 37"], ["z", "c + 9", "c + 46"], ["c", "d + 10", "d + 56"], ["d", 20, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"d": 20}, "is_reverse": true}} | 21,374 | 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 = b + 12; k = g + 12; o = k + 14; d = 20; r = z + 2; v = l + 19; j = u + 20; b = r + 3; z = c + 9; g = v + 7; c = d + 10; y = o + 16; l = d + 18. If d = 20, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 12 to j, which gives j = b + 32.\n2. Substitute b = r + 3 to j, which gives j = r + 35.\n3. Substitute r = z + 2 to j, which gives j = z + 37.\n4. Substitute z = c + 9 to j, which gives j = c + 46.\n5. Substitute c = d + 10 to j, which gives j = d + 56.\n6. Substitute d = 20 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 21374,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 12; k = g + 12; o = k + 14; d = 20; r = z + 2; v = l + 19; j = u + 20; b = r + 3; z = c + 9; g = v + 7; c = d + 10; y = o + 16; l = d + 18. If d = 20, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"y": "e + 7", "r": "y + 15", "k": "r + 3", "v": "k + 2", "s": "v + 1", "f": "s + 6", "l": "e + 4", "t": "l + 17", "d": "t + 20", "b": "d + 12", "u": "b + 19", "g": "u + 8", "e": 6}, "premises": {"e": 6}, "target": "f"}, "answer": {"steps": [["s", "v + 1", "v + 7"], ["v", "k + 2", "k + 9"], ["k", "r + 3", "r + 12"], ["r", "y + 15", "y + 27"], ["y", "e + 7", "e + 34"], ["e", 6, "40"]], "target_var_name": "f", "target_value": 40, "value_dict": {"e": 6}, "is_reverse": true}} | 21,375 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = t + 20; s = v + 1; k = r + 3; e = 6; g = u + 8; l = e + 4; t = l + 17; r = y + 15; y = e + 7; b = d + 12; f = s + 6; v = k + 2; u = b + 19. Given that e = 6, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 1 to f, which gives f = v + 7.\n2. Substitute v = k + 2 to f, which gives f = k + 9.\n3. Substitute k = r + 3 to f, which gives f = r + 12.\n4. Substitute r = y + 15 to f, which gives f = y + 27.\n5. Substitute y = e + 7 to f, which gives f = e + 34.\n6. Substitute e = 6 to f, which gives f = 40.\n\nThus, the final answer is f = \\boxed{40}.",
"index": 21375,
"question": "Suppose a collection of variables is related by the following definitions: d = t + 20; s = v + 1; k = r + 3; e = 6; g = u + 8; l = e + 4; t = l + 17; r = y + 15; y = e + 7; b = d + 12; f = s + 6; v = k + 2; u = b + 19. Given that e = 6, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "e + 11", "b": "t + 5", "a": "b + 15", "d": "a + 10", "k": "d + 3", "g": "k + 19", "x": "e + 12", "y": "x + 13", "h": "y + 5", "m": "h + 18", "o": "m + 5", "p": "o + 14", "e": 12}, "premises": {"e": 12}, "target": "g"}, "answer": {"steps": [["k", "d + 3", "d + 22"], ["d", "a + 10", "a + 32"], ["a", "b + 15", "b + 47"], ["b", "t + 5", "t + 52"], ["t", "e + 11", "e + 63"], ["e", 12, "75"]], "target_var_name": "g", "target_value": 75, "value_dict": {"e": 12}, "is_reverse": true}} | 21,376 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = b + 15; g = k + 19; h = y + 5; b = t + 5; e = 12; o = m + 5; t = e + 11; y = x + 13; m = h + 18; k = d + 3; x = e + 12; d = a + 10; p = o + 14. Given that e = 12, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 3 to g, which gives g = d + 22.\n2. Substitute d = a + 10 to g, which gives g = a + 32.\n3. Substitute a = b + 15 to g, which gives g = b + 47.\n4. Substitute b = t + 5 to g, which gives g = t + 52.\n5. Substitute t = e + 11 to g, which gives g = e + 63.\n6. Substitute e = 12 to g, which gives g = 75.\n\nThus, the final answer is g = \\boxed{75}.",
"index": 21376,
"question": "Suppose a collection of variables is related by the following definitions: a = b + 15; g = k + 19; h = y + 5; b = t + 5; e = 12; o = m + 5; t = e + 11; y = x + 13; m = h + 18; k = d + 3; x = e + 12; d = a + 10; p = o + 14. Given that e = 12, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"b": "w + 9", "q": "b + 10", "f": "q + 5", "n": "f + 12", "a": "n + 18", "l": "a + 18", "u": "w + 15", "m": "u + 2", "o": "m + 8", "p": "o + 7", "v": "p + 2", "x": "v + 19", "w": 15}, "premises": {"w": 15}, "target": "l"}, "answer": {"steps": [["a", "n + 18", "n + 36"], ["n", "f + 12", "f + 48"], ["f", "q + 5", "q + 53"], ["q", "b + 10", "b + 63"], ["b", "w + 9", "w + 72"], ["w", 15, "87"]], "target_var_name": "l", "target_value": 87, "value_dict": {"w": 15}, "is_reverse": true}} | 21,377 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 8; b = w + 9; f = q + 5; v = p + 2; a = n + 18; x = v + 19; n = f + 12; q = b + 10; w = 15; p = o + 7; l = a + 18; m = u + 2; u = w + 15. If w = 15, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 18 to l, which gives l = n + 36.\n2. Substitute n = f + 12 to l, which gives l = f + 48.\n3. Substitute f = q + 5 to l, which gives l = q + 53.\n4. Substitute q = b + 10 to l, which gives l = b + 63.\n5. Substitute b = w + 9 to l, which gives l = w + 72.\n6. Substitute w = 15 to l, which gives l = 87.\n\nThus, the final answer is l = \\boxed{87}.",
"index": 21377,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 8; b = w + 9; f = q + 5; v = p + 2; a = n + 18; x = v + 19; n = f + 12; q = b + 10; w = 15; p = o + 7; l = a + 18; m = u + 2; u = w + 15. If w = 15, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"u": "y + 17", "p": "u + 16", "z": "p + 14", "a": "z + 4", "m": "a + 2", "i": "m + 15", "f": "y + 3", "b": "f + 3", "o": "b + 7", "l": "o + 19", "v": "l + 10", "s": "v + 2", "y": 17}, "premises": {"y": 17}, "target": "i"}, "answer": {"steps": [["m", "a + 2", "a + 17"], ["a", "z + 4", "z + 21"], ["z", "p + 14", "p + 35"], ["p", "u + 16", "u + 51"], ["u", "y + 17", "y + 68"], ["y", 17, "85"]], "target_var_name": "i", "target_value": 85, "value_dict": {"y": 17}, "is_reverse": true}} | 21,378 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = p + 14; s = v + 2; u = y + 17; l = o + 19; p = u + 16; o = b + 7; i = m + 15; y = 17; a = z + 4; f = y + 3; m = a + 2; v = l + 10; b = f + 3. Given that y = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 2 to i, which gives i = a + 17.\n2. Substitute a = z + 4 to i, which gives i = z + 21.\n3. Substitute z = p + 14 to i, which gives i = p + 35.\n4. Substitute p = u + 16 to i, which gives i = u + 51.\n5. Substitute u = y + 17 to i, which gives i = y + 68.\n6. Substitute y = 17 to i, which gives i = 85.\n\nThus, the final answer is i = \\boxed{85}.",
"index": 21378,
"question": "Suppose a collection of variables is related by the following definitions: z = p + 14; s = v + 2; u = y + 17; l = o + 19; p = u + 16; o = b + 7; i = m + 15; y = 17; a = z + 4; f = y + 3; m = a + 2; v = l + 10; b = f + 3. Given that y = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 10", "d": "k + 5", "z": "d + 18", "b": "z + 13", "u": "b + 5", "c": "u + 11", "q": "n + 8", "v": "q + 16", "y": "v + 11", "t": "y + 10", "p": "t + 18", "w": "p + 11", "n": 8}, "premises": {"n": 8}, "target": "c"}, "answer": {"steps": [["u", "b + 5", "b + 16"], ["b", "z + 13", "z + 29"], ["z", "d + 18", "d + 47"], ["d", "k + 5", "k + 52"], ["k", "n + 10", "n + 62"], ["n", 8, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"n": 8}, "is_reverse": true}} | 21,379 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = b + 5; t = y + 10; n = 8; y = v + 11; z = d + 18; q = n + 8; b = z + 13; w = p + 11; k = n + 10; v = q + 16; p = t + 18; d = k + 5; c = u + 11. Given that n = 8, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 5 to c, which gives c = b + 16.\n2. Substitute b = z + 13 to c, which gives c = z + 29.\n3. Substitute z = d + 18 to c, which gives c = d + 47.\n4. Substitute d = k + 5 to c, which gives c = k + 52.\n5. Substitute k = n + 10 to c, which gives c = n + 62.\n6. Substitute n = 8 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 21379,
"question": "Suppose a collection of variables is related by the following definitions: u = b + 5; t = y + 10; n = 8; y = v + 11; z = d + 18; q = n + 8; b = z + 13; w = p + 11; k = n + 10; v = q + 16; p = t + 18; d = k + 5; c = u + 11. Given that n = 8, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 18", "e": "q + 4", "k": "e + 8", "j": "k + 4", "f": "j + 7", "o": "f + 11", "p": "g + 15", "y": "p + 13", "b": "y + 1", "t": "b + 17", "u": "t + 19", "n": "u + 17", "g": 3}, "premises": {"g": 3}, "target": "o"}, "answer": {"steps": [["f", "j + 7", "j + 18"], ["j", "k + 4", "k + 22"], ["k", "e + 8", "e + 30"], ["e", "q + 4", "q + 34"], ["q", "g + 18", "g + 52"], ["g", 3, "55"]], "target_var_name": "o", "target_value": 55, "value_dict": {"g": 3}, "is_reverse": true}} | 21,380 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = j + 7; u = t + 19; j = k + 4; b = y + 1; e = q + 4; t = b + 17; q = g + 18; o = f + 11; k = e + 8; p = g + 15; y = p + 13; n = u + 17; g = 3. If g = 3, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 7 to o, which gives o = j + 18.\n2. Substitute j = k + 4 to o, which gives o = k + 22.\n3. Substitute k = e + 8 to o, which gives o = e + 30.\n4. Substitute e = q + 4 to o, which gives o = q + 34.\n5. Substitute q = g + 18 to o, which gives o = g + 52.\n6. Substitute g = 3 to o, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 21380,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = j + 7; u = t + 19; j = k + 4; b = y + 1; e = q + 4; t = b + 17; q = g + 18; o = f + 11; k = e + 8; p = g + 15; y = p + 13; n = u + 17; g = 3. If g = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 9", "z": "a + 9", "o": "z + 5", "s": "o + 9", "u": "s + 13", "g": "u + 17", "l": "t + 19", "p": "l + 16", "v": "p + 4", "j": "v + 12", "y": "j + 16", "w": "y + 16", "t": 17}, "premises": {"t": 17}, "target": "g"}, "answer": {"steps": [["u", "s + 13", "s + 30"], ["s", "o + 9", "o + 39"], ["o", "z + 5", "z + 44"], ["z", "a + 9", "a + 53"], ["a", "t + 9", "t + 62"], ["t", 17, "79"]], "target_var_name": "g", "target_value": 79, "value_dict": {"t": 17}, "is_reverse": true}} | 21,381 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = a + 9; o = z + 5; j = v + 12; a = t + 9; g = u + 17; t = 17; p = l + 16; u = s + 13; s = o + 9; v = p + 4; w = y + 16; l = t + 19; y = j + 16. If t = 17, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 13 to g, which gives g = s + 30.\n2. Substitute s = o + 9 to g, which gives g = o + 39.\n3. Substitute o = z + 5 to g, which gives g = z + 44.\n4. Substitute z = a + 9 to g, which gives g = a + 53.\n5. Substitute a = t + 9 to g, which gives g = t + 62.\n6. Substitute t = 17 to g, which gives g = 79.\n\nThus, the final answer is g = \\boxed{79}.",
"index": 21381,
"question": "Consider a system of variables where each variable is defined as follows: z = a + 9; o = z + 5; j = v + 12; a = t + 9; g = u + 17; t = 17; p = l + 16; u = s + 13; s = o + 9; v = p + 4; w = y + 16; l = t + 19; y = j + 16. If t = 17, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 3", "k": "g + 18", "b": "k + 2", "x": "b + 19", "m": "x + 13", "e": "m + 16", "d": "o + 1", "y": "d + 13", "w": "y + 8", "j": "w + 8", "a": "j + 7", "l": "a + 18", "o": 6}, "premises": {"o": 6}, "target": "e"}, "answer": {"steps": [["m", "x + 13", "x + 29"], ["x", "b + 19", "b + 48"], ["b", "k + 2", "k + 50"], ["k", "g + 18", "g + 68"], ["g", "o + 3", "o + 71"], ["o", 6, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"o": 6}, "is_reverse": true}} | 21,382 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = m + 16; g = o + 3; a = j + 7; o = 6; j = w + 8; l = a + 18; y = d + 13; k = g + 18; m = x + 13; x = b + 19; b = k + 2; w = y + 8; d = o + 1. Given that o = 6, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 13 to e, which gives e = x + 29.\n2. Substitute x = b + 19 to e, which gives e = b + 48.\n3. Substitute b = k + 2 to e, which gives e = k + 50.\n4. Substitute k = g + 18 to e, which gives e = g + 68.\n5. Substitute g = o + 3 to e, which gives e = o + 71.\n6. Substitute o = 6 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 21382,
"question": "Suppose a collection of variables is related by the following definitions: e = m + 16; g = o + 3; a = j + 7; o = 6; j = w + 8; l = a + 18; y = d + 13; k = g + 18; m = x + 13; x = b + 19; b = k + 2; w = y + 8; d = o + 1. Given that o = 6, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 17", "y": "n + 10", "g": "y + 14", "l": "g + 9", "c": "l + 18", "s": "c + 10", "t": "x + 15", "r": "t + 4", "p": "r + 14", "q": "p + 11", "d": "q + 6", "a": "d + 16", "x": 20}, "premises": {"x": 20}, "target": "s"}, "answer": {"steps": [["c", "l + 18", "l + 28"], ["l", "g + 9", "g + 37"], ["g", "y + 14", "y + 51"], ["y", "n + 10", "n + 61"], ["n", "x + 17", "x + 78"], ["x", 20, "98"]], "target_var_name": "s", "target_value": 98, "value_dict": {"x": 20}, "is_reverse": true}} | 21,383 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = n + 10; p = r + 14; l = g + 9; c = l + 18; q = p + 11; n = x + 17; t = x + 15; a = d + 16; r = t + 4; s = c + 10; x = 20; d = q + 6; g = y + 14. Given that x = 20, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 18 to s, which gives s = l + 28.\n2. Substitute l = g + 9 to s, which gives s = g + 37.\n3. Substitute g = y + 14 to s, which gives s = y + 51.\n4. Substitute y = n + 10 to s, which gives s = n + 61.\n5. Substitute n = x + 17 to s, which gives s = x + 78.\n6. Substitute x = 20 to s, which gives s = 98.\n\nThus, the final answer is s = \\boxed{98}.",
"index": 21383,
"question": "Suppose a collection of variables is related by the following definitions: y = n + 10; p = r + 14; l = g + 9; c = l + 18; q = p + 11; n = x + 17; t = x + 15; a = d + 16; r = t + 4; s = c + 10; x = 20; d = q + 6; g = y + 14. Given that x = 20, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 16", "g": "n + 11", "y": "g + 11", "s": "y + 17", "r": "s + 8", "h": "r + 2", "d": "a + 18", "t": "d + 20", "l": "t + 17", "j": "l + 1", "m": "j + 2", "k": "m + 6", "a": 4}, "premises": {"a": 4}, "target": "h"}, "answer": {"steps": [["r", "s + 8", "s + 10"], ["s", "y + 17", "y + 27"], ["y", "g + 11", "g + 38"], ["g", "n + 11", "n + 49"], ["n", "a + 16", "a + 65"], ["a", 4, "69"]], "target_var_name": "h", "target_value": 69, "value_dict": {"a": 4}, "is_reverse": true}} | 21,384 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = y + 17; k = m + 6; g = n + 11; t = d + 20; y = g + 11; d = a + 18; n = a + 16; m = j + 2; h = r + 2; j = l + 1; r = s + 8; l = t + 17; a = 4. If a = 4, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 8 to h, which gives h = s + 10.\n2. Substitute s = y + 17 to h, which gives h = y + 27.\n3. Substitute y = g + 11 to h, which gives h = g + 38.\n4. Substitute g = n + 11 to h, which gives h = n + 49.\n5. Substitute n = a + 16 to h, which gives h = a + 65.\n6. Substitute a = 4 to h, which gives h = 69.\n\nThus, the final answer is h = \\boxed{69}.",
"index": 21384,
"question": "Consider a system of variables where each variable is defined as follows: s = y + 17; k = m + 6; g = n + 11; t = d + 20; y = g + 11; d = a + 18; n = a + 16; m = j + 2; h = r + 2; j = l + 1; r = s + 8; l = t + 17; a = 4. If a = 4, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 4", "k": "v + 7", "e": "k + 1", "a": "e + 9", "l": "a + 16", "i": "l + 19", "d": "h + 19", "f": "d + 11", "c": "f + 3", "s": "c + 7", "b": "s + 11", "y": "b + 13", "h": 17}, "premises": {"h": 17}, "target": "i"}, "answer": {"steps": [["l", "a + 16", "a + 35"], ["a", "e + 9", "e + 44"], ["e", "k + 1", "k + 45"], ["k", "v + 7", "v + 52"], ["v", "h + 4", "h + 56"], ["h", 17, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"h": 17}, "is_reverse": true}} | 21,385 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = c + 7; v = h + 4; h = 17; l = a + 16; i = l + 19; a = e + 9; f = d + 11; e = k + 1; c = f + 3; k = v + 7; b = s + 11; y = b + 13; d = h + 19. If h = 17, determine 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 l = a + 16 to i, which gives i = a + 35.\n2. Substitute a = e + 9 to i, which gives i = e + 44.\n3. Substitute e = k + 1 to i, which gives i = k + 45.\n4. Substitute k = v + 7 to i, which gives i = v + 52.\n5. Substitute v = h + 4 to i, which gives i = h + 56.\n6. Substitute h = 17 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 21385,
"question": "Consider a system of variables where each variable is defined as follows: s = c + 7; v = h + 4; h = 17; l = a + 16; i = l + 19; a = e + 9; f = d + 11; e = k + 1; c = f + 3; k = v + 7; b = s + 11; y = b + 13; d = h + 19. If h = 17, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 16", "b": "s + 2", "x": "b + 12", "p": "x + 17", "r": "p + 19", "i": "r + 20", "d": "f + 19", "c": "d + 14", "m": "c + 3", "n": "m + 6", "t": "n + 10", "o": "t + 19", "f": 7}, "premises": {"f": 7}, "target": "i"}, "answer": {"steps": [["r", "p + 19", "p + 39"], ["p", "x + 17", "x + 56"], ["x", "b + 12", "b + 68"], ["b", "s + 2", "s + 70"], ["s", "f + 16", "f + 86"], ["f", 7, "93"]], "target_var_name": "i", "target_value": 93, "value_dict": {"f": 7}, "is_reverse": true}} | 21,386 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = t + 19; p = x + 17; n = m + 6; s = f + 16; t = n + 10; r = p + 19; f = 7; x = b + 12; c = d + 14; d = f + 19; m = c + 3; i = r + 20; b = s + 2. If f = 7, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 19 to i, which gives i = p + 39.\n2. Substitute p = x + 17 to i, which gives i = x + 56.\n3. Substitute x = b + 12 to i, which gives i = b + 68.\n4. Substitute b = s + 2 to i, which gives i = s + 70.\n5. Substitute s = f + 16 to i, which gives i = f + 86.\n6. Substitute f = 7 to i, which gives i = 93.\n\nThus, the final answer is i = \\boxed{93}.",
"index": 21386,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = t + 19; p = x + 17; n = m + 6; s = f + 16; t = n + 10; r = p + 19; f = 7; x = b + 12; c = d + 14; d = f + 19; m = c + 3; i = r + 20; b = s + 2. If f = 7, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 7", "x": "k + 2", "f": "x + 2", "q": "f + 14", "e": "q + 9", "o": "e + 9", "m": "j + 3", "t": "m + 6", "y": "t + 1", "b": "y + 4", "p": "b + 19", "u": "p + 20", "j": 17}, "premises": {"j": 17}, "target": "o"}, "answer": {"steps": [["e", "q + 9", "q + 18"], ["q", "f + 14", "f + 32"], ["f", "x + 2", "x + 34"], ["x", "k + 2", "k + 36"], ["k", "j + 7", "j + 43"], ["j", 17, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"j": 17}, "is_reverse": true}} | 21,387 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = b + 19; q = f + 14; m = j + 3; j = 17; b = y + 4; k = j + 7; x = k + 2; u = p + 20; t = m + 6; y = t + 1; f = x + 2; o = e + 9; e = q + 9. If j = 17, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 9 to o, which gives o = q + 18.\n2. Substitute q = f + 14 to o, which gives o = f + 32.\n3. Substitute f = x + 2 to o, which gives o = x + 34.\n4. Substitute x = k + 2 to o, which gives o = k + 36.\n5. Substitute k = j + 7 to o, which gives o = j + 43.\n6. Substitute j = 17 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 21387,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = b + 19; q = f + 14; m = j + 3; j = 17; b = y + 4; k = j + 7; x = k + 2; u = p + 20; t = m + 6; y = t + 1; f = x + 2; o = e + 9; e = q + 9. If j = 17, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 19", "t": "r + 4", "e": "t + 18", "d": "e + 1", "x": "d + 7", "z": "x + 6", "o": "j + 14", "i": "o + 3", "a": "i + 3", "s": "a + 11", "m": "s + 13", "v": "m + 17", "j": 13}, "premises": {"j": 13}, "target": "z"}, "answer": {"steps": [["x", "d + 7", "d + 13"], ["d", "e + 1", "e + 14"], ["e", "t + 18", "t + 32"], ["t", "r + 4", "r + 36"], ["r", "j + 19", "j + 55"], ["j", 13, "68"]], "target_var_name": "z", "target_value": 68, "value_dict": {"j": 13}, "is_reverse": true}} | 21,388 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 13; a = i + 3; m = s + 13; r = j + 19; i = o + 3; t = r + 4; o = j + 14; z = x + 6; x = d + 7; v = m + 17; e = t + 18; d = e + 1; s = a + 11. Given that j = 13, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 7 to z, which gives z = d + 13.\n2. Substitute d = e + 1 to z, which gives z = e + 14.\n3. Substitute e = t + 18 to z, which gives z = t + 32.\n4. Substitute t = r + 4 to z, which gives z = r + 36.\n5. Substitute r = j + 19 to z, which gives z = j + 55.\n6. Substitute j = 13 to z, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 21388,
"question": "Suppose a collection of variables is related by the following definitions: j = 13; a = i + 3; m = s + 13; r = j + 19; i = o + 3; t = r + 4; o = j + 14; z = x + 6; x = d + 7; v = m + 17; e = t + 18; d = e + 1; s = a + 11. Given that j = 13, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 3", "x": "a + 9", "c": "x + 7", "u": "c + 15", "m": "u + 6", "q": "m + 9", "l": "h + 11", "i": "l + 9", "j": "i + 17", "e": "j + 13", "b": "e + 16", "f": "b + 14", "h": 1}, "premises": {"h": 1}, "target": "q"}, "answer": {"steps": [["m", "u + 6", "u + 15"], ["u", "c + 15", "c + 30"], ["c", "x + 7", "x + 37"], ["x", "a + 9", "a + 46"], ["a", "h + 3", "h + 49"], ["h", 1, "50"]], "target_var_name": "q", "target_value": 50, "value_dict": {"h": 1}, "is_reverse": true}} | 21,389 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = m + 9; a = h + 3; j = i + 17; l = h + 11; m = u + 6; e = j + 13; u = c + 15; h = 1; x = a + 9; i = l + 9; c = x + 7; b = e + 16; f = b + 14. If h = 1, determine 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 m = u + 6 to q, which gives q = u + 15.\n2. Substitute u = c + 15 to q, which gives q = c + 30.\n3. Substitute c = x + 7 to q, which gives q = x + 37.\n4. Substitute x = a + 9 to q, which gives q = a + 46.\n5. Substitute a = h + 3 to q, which gives q = h + 49.\n6. Substitute h = 1 to q, which gives q = 50.\n\nThus, the final answer is q = \\boxed{50}.",
"index": 21389,
"question": "Consider a system of variables where each variable is defined as follows: q = m + 9; a = h + 3; j = i + 17; l = h + 11; m = u + 6; e = j + 13; u = c + 15; h = 1; x = a + 9; i = l + 9; c = x + 7; b = e + 16; f = b + 14. If h = 1, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 8", "x": "z + 6", "o": "x + 19", "b": "o + 14", "f": "b + 10", "h": "f + 6", "i": "y + 19", "r": "i + 3", "j": "r + 9", "c": "j + 3", "w": "c + 1", "d": "w + 6", "y": 10}, "premises": {"y": 10}, "target": "h"}, "answer": {"steps": [["f", "b + 10", "b + 16"], ["b", "o + 14", "o + 30"], ["o", "x + 19", "x + 49"], ["x", "z + 6", "z + 55"], ["z", "y + 8", "y + 63"], ["y", 10, "73"]], "target_var_name": "h", "target_value": 73, "value_dict": {"y": 10}, "is_reverse": true}} | 21,390 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = f + 6; w = c + 1; x = z + 6; d = w + 6; y = 10; c = j + 3; b = o + 14; f = b + 10; o = x + 19; i = y + 19; z = y + 8; r = i + 3; j = r + 9. Given that y = 10, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 10 to h, which gives h = b + 16.\n2. Substitute b = o + 14 to h, which gives h = o + 30.\n3. Substitute o = x + 19 to h, which gives h = x + 49.\n4. Substitute x = z + 6 to h, which gives h = z + 55.\n5. Substitute z = y + 8 to h, which gives h = y + 63.\n6. Substitute y = 10 to h, which gives h = 73.\n\nThus, the final answer is h = \\boxed{73}.",
"index": 21390,
"question": "Suppose a collection of variables is related by the following definitions: h = f + 6; w = c + 1; x = z + 6; d = w + 6; y = 10; c = j + 3; b = o + 14; f = b + 10; o = x + 19; i = y + 19; z = y + 8; r = i + 3; j = r + 9. Given that y = 10, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"n": "k + 1", "d": "n + 13", "p": "d + 14", "e": "p + 6", "w": "e + 5", "g": "w + 14", "i": "k + 4", "m": "i + 19", "y": "m + 16", "z": "y + 12", "b": "z + 10", "a": "b + 9", "k": 18}, "premises": {"k": 18}, "target": "g"}, "answer": {"steps": [["w", "e + 5", "e + 19"], ["e", "p + 6", "p + 25"], ["p", "d + 14", "d + 39"], ["d", "n + 13", "n + 52"], ["n", "k + 1", "k + 53"], ["k", 18, "71"]], "target_var_name": "g", "target_value": 71, "value_dict": {"k": 18}, "is_reverse": true}} | 21,391 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = y + 12; y = m + 16; a = b + 9; e = p + 6; d = n + 13; g = w + 14; m = i + 19; n = k + 1; i = k + 4; b = z + 10; p = d + 14; k = 18; w = e + 5. Given that k = 18, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 5 to g, which gives g = e + 19.\n2. Substitute e = p + 6 to g, which gives g = p + 25.\n3. Substitute p = d + 14 to g, which gives g = d + 39.\n4. Substitute d = n + 13 to g, which gives g = n + 52.\n5. Substitute n = k + 1 to g, which gives g = k + 53.\n6. Substitute k = 18 to g, which gives g = 71.\n\nThus, the final answer is g = \\boxed{71}.",
"index": 21391,
"question": "Suppose a collection of variables is related by the following definitions: z = y + 12; y = m + 16; a = b + 9; e = p + 6; d = n + 13; g = w + 14; m = i + 19; n = k + 1; i = k + 4; b = z + 10; p = d + 14; k = 18; w = e + 5. Given that k = 18, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 8", "w": "f + 20", "t": "w + 6", "g": "t + 10", "q": "g + 11", "d": "q + 4", "z": "k + 1", "j": "z + 9", "l": "j + 7", "s": "l + 13", "e": "s + 9", "u": "e + 19", "k": 14}, "premises": {"k": 14}, "target": "d"}, "answer": {"steps": [["q", "g + 11", "g + 15"], ["g", "t + 10", "t + 25"], ["t", "w + 6", "w + 31"], ["w", "f + 20", "f + 51"], ["f", "k + 8", "k + 59"], ["k", 14, "73"]], "target_var_name": "d", "target_value": 73, "value_dict": {"k": 14}, "is_reverse": true}} | 21,392 | 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 = k + 1; q = g + 11; u = e + 19; s = l + 13; l = j + 7; f = k + 8; d = q + 4; t = w + 6; g = t + 10; k = 14; w = f + 20; e = s + 9; j = z + 9. If k = 14, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 11 to d, which gives d = g + 15.\n2. Substitute g = t + 10 to d, which gives d = t + 25.\n3. Substitute t = w + 6 to d, which gives d = w + 31.\n4. Substitute w = f + 20 to d, which gives d = f + 51.\n5. Substitute f = k + 8 to d, which gives d = k + 59.\n6. Substitute k = 14 to d, which gives d = 73.\n\nThus, the final answer is d = \\boxed{73}.",
"index": 21392,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = k + 1; q = g + 11; u = e + 19; s = l + 13; l = j + 7; f = k + 8; d = q + 4; t = w + 6; g = t + 10; k = 14; w = f + 20; e = s + 9; j = z + 9. If k = 14, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 5", "k": "l + 5", "y": "k + 8", "h": "y + 5", "p": "h + 20", "b": "p + 8", "t": "m + 15", "n": "t + 20", "x": "n + 5", "u": "x + 2", "c": "u + 15", "v": "c + 12", "m": 14}, "premises": {"m": 14}, "target": "b"}, "answer": {"steps": [["p", "h + 20", "h + 28"], ["h", "y + 5", "y + 33"], ["y", "k + 8", "k + 41"], ["k", "l + 5", "l + 46"], ["l", "m + 5", "m + 51"], ["m", 14, "65"]], "target_var_name": "b", "target_value": 65, "value_dict": {"m": 14}, "is_reverse": true}} | 21,393 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = y + 5; m = 14; k = l + 5; y = k + 8; n = t + 20; v = c + 12; t = m + 15; b = p + 8; x = n + 5; p = h + 20; l = m + 5; u = x + 2; c = u + 15. Given that m = 14, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 20 to b, which gives b = h + 28.\n2. Substitute h = y + 5 to b, which gives b = y + 33.\n3. Substitute y = k + 8 to b, which gives b = k + 41.\n4. Substitute k = l + 5 to b, which gives b = l + 46.\n5. Substitute l = m + 5 to b, which gives b = m + 51.\n6. Substitute m = 14 to b, which gives b = 65.\n\nThus, the final answer is b = \\boxed{65}.",
"index": 21393,
"question": "Suppose a collection of variables is related by the following definitions: h = y + 5; m = 14; k = l + 5; y = k + 8; n = t + 20; v = c + 12; t = m + 15; b = p + 8; x = n + 5; p = h + 20; l = m + 5; u = x + 2; c = u + 15. Given that m = 14, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"a": "d + 10", "k": "a + 2", "b": "k + 9", "v": "b + 11", "t": "v + 2", "o": "t + 18", "g": "d + 17", "w": "g + 10", "p": "w + 14", "f": "p + 6", "i": "f + 7", "r": "i + 10", "d": 8}, "premises": {"d": 8}, "target": "o"}, "answer": {"steps": [["t", "v + 2", "v + 20"], ["v", "b + 11", "b + 31"], ["b", "k + 9", "k + 40"], ["k", "a + 2", "a + 42"], ["a", "d + 10", "d + 52"], ["d", 8, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"d": 8}, "is_reverse": true}} | 21,394 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = k + 9; a = d + 10; o = t + 18; w = g + 10; i = f + 7; k = a + 2; t = v + 2; r = i + 10; d = 8; v = b + 11; g = d + 17; f = p + 6; p = w + 14. Given that d = 8, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 2 to o, which gives o = v + 20.\n2. Substitute v = b + 11 to o, which gives o = b + 31.\n3. Substitute b = k + 9 to o, which gives o = k + 40.\n4. Substitute k = a + 2 to o, which gives o = a + 42.\n5. Substitute a = d + 10 to o, which gives o = d + 52.\n6. Substitute d = 8 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 21394,
"question": "Suppose a collection of variables is related by the following definitions: b = k + 9; a = d + 10; o = t + 18; w = g + 10; i = f + 7; k = a + 2; t = v + 2; r = i + 10; d = 8; v = b + 11; g = d + 17; f = p + 6; p = w + 14. Given that d = 8, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 13", "b": "r + 6", "f": "b + 12", "q": "f + 9", "g": "q + 4", "o": "g + 6", "n": "c + 7", "j": "n + 2", "m": "j + 7", "h": "m + 7", "w": "h + 17", "s": "w + 11", "c": 11}, "premises": {"c": 11}, "target": "o"}, "answer": {"steps": [["g", "q + 4", "q + 10"], ["q", "f + 9", "f + 19"], ["f", "b + 12", "b + 31"], ["b", "r + 6", "r + 37"], ["r", "c + 13", "c + 50"], ["c", 11, "61"]], "target_var_name": "o", "target_value": 61, "value_dict": {"c": 11}, "is_reverse": true}} | 21,395 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = c + 13; g = q + 4; j = n + 2; f = b + 12; b = r + 6; o = g + 6; s = w + 11; m = j + 7; c = 11; w = h + 17; h = m + 7; q = f + 9; n = c + 7. Given that c = 11, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 4 to o, which gives o = q + 10.\n2. Substitute q = f + 9 to o, which gives o = f + 19.\n3. Substitute f = b + 12 to o, which gives o = b + 31.\n4. Substitute b = r + 6 to o, which gives o = r + 37.\n5. Substitute r = c + 13 to o, which gives o = c + 50.\n6. Substitute c = 11 to o, which gives o = 61.\n\nThus, the final answer is o = \\boxed{61}.",
"index": 21395,
"question": "Suppose a collection of variables is related by the following definitions: r = c + 13; g = q + 4; j = n + 2; f = b + 12; b = r + 6; o = g + 6; s = w + 11; m = j + 7; c = 11; w = h + 17; h = m + 7; q = f + 9; n = c + 7. Given that c = 11, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 8", "a": "x + 19", "t": "a + 10", "w": "t + 6", "d": "w + 12", "v": "d + 9", "z": "f + 2", "y": "z + 6", "i": "y + 6", "j": "i + 19", "r": "j + 13", "b": "r + 5", "f": 16}, "premises": {"f": 16}, "target": "v"}, "answer": {"steps": [["d", "w + 12", "w + 21"], ["w", "t + 6", "t + 27"], ["t", "a + 10", "a + 37"], ["a", "x + 19", "x + 56"], ["x", "f + 8", "f + 64"], ["f", 16, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"f": 16}, "is_reverse": true}} | 21,396 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = i + 19; d = w + 12; r = j + 13; x = f + 8; z = f + 2; w = t + 6; v = d + 9; a = x + 19; t = a + 10; f = 16; b = r + 5; y = z + 6; i = y + 6. If f = 16, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 12 to v, which gives v = w + 21.\n2. Substitute w = t + 6 to v, which gives v = t + 27.\n3. Substitute t = a + 10 to v, which gives v = a + 37.\n4. Substitute a = x + 19 to v, which gives v = x + 56.\n5. Substitute x = f + 8 to v, which gives v = f + 64.\n6. Substitute f = 16 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 21396,
"question": "Consider a system of variables where each variable is defined as follows: j = i + 19; d = w + 12; r = j + 13; x = f + 8; z = f + 2; w = t + 6; v = d + 9; a = x + 19; t = a + 10; f = 16; b = r + 5; y = z + 6; i = y + 6. If f = 16, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 5", "m": "z + 2", "i": "m + 4", "l": "i + 10", "h": "l + 14", "e": "h + 1", "j": "y + 18", "x": "j + 11", "d": "x + 9", "s": "d + 16", "o": "s + 11", "v": "o + 9", "y": 4}, "premises": {"y": 4}, "target": "e"}, "answer": {"steps": [["h", "l + 14", "l + 15"], ["l", "i + 10", "i + 25"], ["i", "m + 4", "m + 29"], ["m", "z + 2", "z + 31"], ["z", "y + 5", "y + 36"], ["y", 4, "40"]], "target_var_name": "e", "target_value": 40, "value_dict": {"y": 4}, "is_reverse": true}} | 21,397 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = l + 14; d = x + 9; o = s + 11; j = y + 18; y = 4; m = z + 2; e = h + 1; v = o + 9; i = m + 4; x = j + 11; s = d + 16; l = i + 10; z = y + 5. If y = 4, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 14 to e, which gives e = l + 15.\n2. Substitute l = i + 10 to e, which gives e = i + 25.\n3. Substitute i = m + 4 to e, which gives e = m + 29.\n4. Substitute m = z + 2 to e, which gives e = z + 31.\n5. Substitute z = y + 5 to e, which gives e = y + 36.\n6. Substitute y = 4 to e, which gives e = 40.\n\nThus, the final answer is e = \\boxed{40}.",
"index": 21397,
"question": "Consider a system of variables where each variable is defined as follows: h = l + 14; d = x + 9; o = s + 11; j = y + 18; y = 4; m = z + 2; e = h + 1; v = o + 9; i = m + 4; x = j + 11; s = d + 16; l = i + 10; z = y + 5. If y = 4, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 15", "n": "v + 11", "c": "n + 10", "e": "c + 15", "s": "e + 10", "g": "s + 4", "t": "p + 18", "z": "t + 11", "b": "z + 12", "a": "b + 16", "j": "a + 20", "u": "j + 16", "p": 6}, "premises": {"p": 6}, "target": "g"}, "answer": {"steps": [["s", "e + 10", "e + 14"], ["e", "c + 15", "c + 29"], ["c", "n + 10", "n + 39"], ["n", "v + 11", "v + 50"], ["v", "p + 15", "p + 65"], ["p", 6, "71"]], "target_var_name": "g", "target_value": 71, "value_dict": {"p": 6}, "is_reverse": true}} | 21,398 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = t + 11; b = z + 12; t = p + 18; e = c + 15; u = j + 16; p = 6; j = a + 20; c = n + 10; n = v + 11; g = s + 4; s = e + 10; v = p + 15; a = b + 16. If p = 6, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 10 to g, which gives g = e + 14.\n2. Substitute e = c + 15 to g, which gives g = c + 29.\n3. Substitute c = n + 10 to g, which gives g = n + 39.\n4. Substitute n = v + 11 to g, which gives g = v + 50.\n5. Substitute v = p + 15 to g, which gives g = p + 65.\n6. Substitute p = 6 to g, which gives g = 71.\n\nThus, the final answer is g = \\boxed{71}.",
"index": 21398,
"question": "Consider a system of variables where each variable is defined as follows: z = t + 11; b = z + 12; t = p + 18; e = c + 15; u = j + 16; p = 6; j = a + 20; c = n + 10; n = v + 11; g = s + 4; s = e + 10; v = p + 15; a = b + 16. If p = 6, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"y": "x + 2", "l": "y + 4", "w": "l + 12", "z": "w + 7", "h": "z + 7", "c": "h + 4", "k": "x + 15", "v": "k + 17", "f": "v + 14", "p": "f + 7", "n": "p + 7", "m": "n + 9", "x": 10}, "premises": {"x": 10}, "target": "c"}, "answer": {"steps": [["h", "z + 7", "z + 11"], ["z", "w + 7", "w + 18"], ["w", "l + 12", "l + 30"], ["l", "y + 4", "y + 34"], ["y", "x + 2", "x + 36"], ["x", 10, "46"]], "target_var_name": "c", "target_value": 46, "value_dict": {"x": 10}, "is_reverse": true}} | 21,399 | 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 = l + 12; z = w + 7; l = y + 4; y = x + 2; h = z + 7; k = x + 15; v = k + 17; f = v + 14; x = 10; n = p + 7; m = n + 9; p = f + 7; c = h + 4. If x = 10, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 7 to c, which gives c = z + 11.\n2. Substitute z = w + 7 to c, which gives c = w + 18.\n3. Substitute w = l + 12 to c, which gives c = l + 30.\n4. Substitute l = y + 4 to c, which gives c = y + 34.\n5. Substitute y = x + 2 to c, which gives c = x + 36.\n6. Substitute x = 10 to c, which gives c = 46.\n\nThus, the final answer is c = \\boxed{46}.",
"index": 21399,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = l + 12; z = w + 7; l = y + 4; y = x + 2; h = z + 7; k = x + 15; v = k + 17; f = v + 14; x = 10; n = p + 7; m = n + 9; p = f + 7; c = h + 4. If x = 10, what is the resulting value of c?",
"split": "train"
} |
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