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": {"i": "v + 16", "r": "i + 19", "u": "r + 19", "p": "u + 5", "k": "p + 18", "l": "k + 10", "x": "v + 18", "c": "x + 2", "b": "c + 1", "o": "b + 5", "s": "o + 13", "a": "s + 13", "v": 2}, "premises": {"v": 2}, "target": "l"}, "answer": {"steps": [["k", "p + 18", "p + 28"], ["p", "u + 5", "u + 33"], ["u", "r + 19", "r + 52"], ["r", "i + 19", "i + 71"], ["i", "v + 16", "v + 87"], ["v", 2, "89"]], "target_var_name": "l", "target_value": 89, "value_dict": {"v": 2}, "is_reverse": true}} | 15,100 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = c + 1; a = s + 13; v = 2; u = r + 19; p = u + 5; k = p + 18; o = b + 5; r = i + 19; l = k + 10; x = v + 18; c = x + 2; i = v + 16; s = o + 13. Given that v = 2, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 18 to l, which gives l = p + 28.\n2. Substitute p = u + 5 to l, which gives l = u + 33.\n3. Substitute u = r + 19 to l, which gives l = r + 52.\n4. Substitute r = i + 19 to l, which gives l = i + 71.\n5. Substitute i = v + 16 to l, which gives l = v + 87.\n6. Substitute v = 2 to l, which gives l = 89.\n\nThus, the final answer is l = \\boxed{89}.",
"index": 15100,
"question": "Suppose a collection of variables is related by the following definitions: b = c + 1; a = s + 13; v = 2; u = r + 19; p = u + 5; k = p + 18; o = b + 5; r = i + 19; l = k + 10; x = v + 18; c = x + 2; i = v + 16; s = o + 13. Given that v = 2, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 9", "e": "m + 6", "y": "e + 6", "z": "y + 12", "t": "z + 12", "c": "t + 12", "i": "w + 3", "h": "i + 18", "u": "h + 6", "k": "u + 13", "s": "k + 13", "p": "s + 16", "w": 2}, "premises": {"w": 2}, "target": "c"}, "answer": {"steps": [["t", "z + 12", "z + 24"], ["z", "y + 12", "y + 36"], ["y", "e + 6", "e + 42"], ["e", "m + 6", "m + 48"], ["m", "w + 9", "w + 57"], ["w", 2, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"w": 2}, "is_reverse": true}} | 15,101 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = h + 6; p = s + 16; z = y + 12; y = e + 6; c = t + 12; h = i + 18; m = w + 9; e = m + 6; s = k + 13; t = z + 12; i = w + 3; w = 2; k = u + 13. If w = 2, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 12 to c, which gives c = z + 24.\n2. Substitute z = y + 12 to c, which gives c = y + 36.\n3. Substitute y = e + 6 to c, which gives c = e + 42.\n4. Substitute e = m + 6 to c, which gives c = m + 48.\n5. Substitute m = w + 9 to c, which gives c = w + 57.\n6. Substitute w = 2 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 15101,
"question": "Consider a system of variables where each variable is defined as follows: u = h + 6; p = s + 16; z = y + 12; y = e + 6; c = t + 12; h = i + 18; m = w + 9; e = m + 6; s = k + 13; t = z + 12; i = w + 3; w = 2; k = u + 13. If w = 2, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 18", "q": "g + 10", "c": "q + 4", "x": "c + 10", "z": "x + 3", "f": "z + 14", "y": "h + 8", "t": "y + 5", "l": "t + 3", "j": "l + 8", "p": "j + 1", "u": "p + 8", "h": 8}, "premises": {"h": 8}, "target": "f"}, "answer": {"steps": [["z", "x + 3", "x + 17"], ["x", "c + 10", "c + 27"], ["c", "q + 4", "q + 31"], ["q", "g + 10", "g + 41"], ["g", "h + 18", "h + 59"], ["h", 8, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"h": 8}, "is_reverse": true}} | 15,102 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 10; l = t + 3; p = j + 1; y = h + 8; g = h + 18; c = q + 4; f = z + 14; u = p + 8; h = 8; j = l + 8; z = x + 3; x = c + 10; t = y + 5. If h = 8, what is the resulting value of f?",
"role": "user"
... | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 3 to f, which gives f = x + 17.\n2. Substitute x = c + 10 to f, which gives f = c + 27.\n3. Substitute c = q + 4 to f, which gives f = q + 31.\n4. Substitute q = g + 10 to f, which gives f = g + 41.\n5. Substitute g = h + 18 to f, which gives f = h + 59.\n6. Substitute h = 8 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 15102,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 10; l = t + 3; p = j + 1; y = h + 8; g = h + 18; c = q + 4; f = z + 14; u = p + 8; h = 8; j = l + 8; z = x + 3; x = c + 10; t = y + 5. If h = 8, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 17", "a": "j + 19", "c": "a + 4", "o": "c + 6", "q": "o + 7", "i": "q + 6", "v": "k + 19", "n": "v + 10", "d": "n + 8", "e": "d + 1", "t": "e + 8", "s": "t + 14", "k": 7}, "premises": {"k": 7}, "target": "i"}, "answer": {"steps": [["q", "o + 7", "o + 13"], ["o", "c + 6", "c + 19"], ["c", "a + 4", "a + 23"], ["a", "j + 19", "j + 42"], ["j", "k + 17", "k + 59"], ["k", 7, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"k": 7}, "is_reverse": true}} | 15,103 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = d + 1; t = e + 8; j = k + 17; q = o + 7; c = a + 4; a = j + 19; s = t + 14; n = v + 10; i = q + 6; d = n + 8; v = k + 19; k = 7; o = c + 6. If k = 7, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 7 to i, which gives i = o + 13.\n2. Substitute o = c + 6 to i, which gives i = c + 19.\n3. Substitute c = a + 4 to i, which gives i = a + 23.\n4. Substitute a = j + 19 to i, which gives i = j + 42.\n5. Substitute j = k + 17 to i, which gives i = k + 59.\n6. Substitute k = 7 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 15103,
"question": "Consider a system of variables where each variable is defined as follows: e = d + 1; t = e + 8; j = k + 17; q = o + 7; c = a + 4; a = j + 19; s = t + 14; n = v + 10; i = q + 6; d = n + 8; v = k + 19; k = 7; o = c + 6. If k = 7, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 9", "y": "v + 7", "g": "y + 9", "f": "g + 8", "s": "f + 9", "i": "s + 4", "p": "w + 17", "o": "p + 7", "a": "o + 7", "r": "a + 12", "j": "r + 6", "x": "j + 2", "w": 18}, "premises": {"w": 18}, "target": "i"}, "answer": {"steps": [["s", "f + 9", "f + 13"], ["f", "g + 8", "g + 21"], ["g", "y + 9", "y + 30"], ["y", "v + 7", "v + 37"], ["v", "w + 9", "w + 46"], ["w", 18, "64"]], "target_var_name": "i", "target_value": 64, "value_dict": {"w": 18}, "is_reverse": true}} | 15,104 | 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 + 4; s = f + 9; v = w + 9; o = p + 7; y = v + 7; j = r + 6; f = g + 8; g = y + 9; x = j + 2; a = o + 7; w = 18; r = a + 12; p = w + 17. If w = 18, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 9 to i, which gives i = f + 13.\n2. Substitute f = g + 8 to i, which gives i = g + 21.\n3. Substitute g = y + 9 to i, which gives i = y + 30.\n4. Substitute y = v + 7 to i, which gives i = v + 37.\n5. Substitute v = w + 9 to i, which gives i = w + 46.\n6. Substitute w = 18 to i, which gives i = 64.\n\nThus, the final answer is i = \\boxed{64}.",
"index": 15104,
"question": "Consider a system of variables where each variable is defined as follows: i = s + 4; s = f + 9; v = w + 9; o = p + 7; y = v + 7; j = r + 6; f = g + 8; g = y + 9; x = j + 2; a = o + 7; w = 18; r = a + 12; p = w + 17. If w = 18, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"p": "y + 13", "f": "p + 15", "k": "f + 19", "q": "k + 10", "n": "q + 10", "i": "n + 4", "w": "y + 11", "o": "w + 4", "l": "o + 3", "s": "l + 16", "r": "s + 14", "e": "r + 16", "y": 4}, "premises": {"y": 4}, "target": "i"}, "answer": {"steps": [["n", "q + 10", "q + 14"], ["q", "k + 10", "k + 24"], ["k", "f + 19", "f + 43"], ["f", "p + 15", "p + 58"], ["p", "y + 13", "y + 71"], ["y", 4, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"y": 4}, "is_reverse": true}} | 15,105 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = p + 15; k = f + 19; e = r + 16; w = y + 11; p = y + 13; s = l + 16; n = q + 10; o = w + 4; q = k + 10; i = n + 4; y = 4; l = o + 3; r = s + 14. If y = 4, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 10 to i, which gives i = q + 14.\n2. Substitute q = k + 10 to i, which gives i = k + 24.\n3. Substitute k = f + 19 to i, which gives i = f + 43.\n4. Substitute f = p + 15 to i, which gives i = p + 58.\n5. Substitute p = y + 13 to i, which gives i = y + 71.\n6. Substitute y = 4 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 15105,
"question": "Consider a system of variables where each variable is defined as follows: f = p + 15; k = f + 19; e = r + 16; w = y + 11; p = y + 13; s = l + 16; n = q + 10; o = w + 4; q = k + 10; i = n + 4; y = 4; l = o + 3; r = s + 14. If y = 4, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"m": "d + 16", "b": "m + 8", "y": "b + 4", "w": "y + 6", "z": "w + 11", "n": "z + 1", "h": "d + 13", "k": "h + 17", "t": "k + 15", "a": "t + 12", "c": "a + 6", "g": "c + 20", "d": 19}, "premises": {"d": 19}, "target": "n"}, "answer": {"steps": [["z", "w + 11", "w + 12"], ["w", "y + 6", "y + 18"], ["y", "b + 4", "b + 22"], ["b", "m + 8", "m + 30"], ["m", "d + 16", "d + 46"], ["d", 19, "65"]], "target_var_name": "n", "target_value": 65, "value_dict": {"d": 19}, "is_reverse": true}} | 15,106 | 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 = y + 6; m = d + 16; k = h + 17; g = c + 20; a = t + 12; b = m + 8; d = 19; h = d + 13; t = k + 15; z = w + 11; y = b + 4; c = a + 6; n = z + 1. If d = 19, what is the resulting value of n?",
"role": "use... | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 11 to n, which gives n = w + 12.\n2. Substitute w = y + 6 to n, which gives n = y + 18.\n3. Substitute y = b + 4 to n, which gives n = b + 22.\n4. Substitute b = m + 8 to n, which gives n = m + 30.\n5. Substitute m = d + 16 to n, which gives n = d + 46.\n6. Substitute d = 19 to n, which gives n = 65.\n\nThus, the final answer is n = \\boxed{65}.",
"index": 15106,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = y + 6; m = d + 16; k = h + 17; g = c + 20; a = t + 12; b = m + 8; d = 19; h = d + 13; t = k + 15; z = w + 11; y = b + 4; c = a + 6; n = z + 1. If d = 19, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 16", "z": "y + 12", "s": "z + 19", "h": "s + 18", "x": "h + 18", "d": "x + 18", "n": "f + 3", "c": "n + 1", "v": "c + 8", "p": "v + 11", "e": "p + 7", "t": "e + 2", "f": 4}, "premises": {"f": 4}, "target": "d"}, "answer": {"steps": [["x", "h + 18", "h + 36"], ["h", "s + 18", "s + 54"], ["s", "z + 19", "z + 73"], ["z", "y + 12", "y + 85"], ["y", "f + 16", "f + 101"], ["f", 4, "105"]], "target_var_name": "d", "target_value": 105, "value_dict": {"f": 4}, "is_reverse": true}} | 15,107 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 8; x = h + 18; n = f + 3; s = z + 19; c = n + 1; h = s + 18; e = p + 7; z = y + 12; y = f + 16; f = 4; t = e + 2; p = v + 11; d = x + 18. If f = 4, what is the resulting value of d?",
"role": "user"... | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 18 to d, which gives d = h + 36.\n2. Substitute h = s + 18 to d, which gives d = s + 54.\n3. Substitute s = z + 19 to d, which gives d = z + 73.\n4. Substitute z = y + 12 to d, which gives d = y + 85.\n5. Substitute y = f + 16 to d, which gives d = f + 101.\n6. Substitute f = 4 to d, which gives d = 105.\n\nThus, the final answer is d = \\boxed{105}.",
"index": 15107,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 8; x = h + 18; n = f + 3; s = z + 19; c = n + 1; h = s + 18; e = p + 7; z = y + 12; y = f + 16; f = 4; t = e + 2; p = v + 11; d = x + 18. If f = 4, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 13", "r": "s + 16", "t": "r + 16", "o": "t + 9", "a": "o + 13", "i": "a + 19", "w": "k + 18", "x": "w + 18", "v": "x + 20", "u": "v + 20", "l": "u + 3", "j": "l + 13", "k": 3}, "premises": {"k": 3}, "target": "i"}, "answer": {"steps": [["a", "o + 13", "o + 32"], ["o", "t + 9", "t + 41"], ["t", "r + 16", "r + 57"], ["r", "s + 16", "s + 73"], ["s", "k + 13", "k + 86"], ["k", 3, "89"]], "target_var_name": "i", "target_value": 89, "value_dict": {"k": 3}, "is_reverse": true}} | 15,108 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = l + 13; o = t + 9; u = v + 20; a = o + 13; s = k + 13; x = w + 18; v = x + 20; l = u + 3; r = s + 16; t = r + 16; w = k + 18; i = a + 19; k = 3. If k = 3, what is the resulting value of i?",
"role": "us... | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 13 to i, which gives i = o + 32.\n2. Substitute o = t + 9 to i, which gives i = t + 41.\n3. Substitute t = r + 16 to i, which gives i = r + 57.\n4. Substitute r = s + 16 to i, which gives i = s + 73.\n5. Substitute s = k + 13 to i, which gives i = k + 86.\n6. Substitute k = 3 to i, which gives i = 89.\n\nThus, the final answer is i = \\boxed{89}.",
"index": 15108,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = l + 13; o = t + 9; u = v + 20; a = o + 13; s = k + 13; x = w + 18; v = x + 20; l = u + 3; r = s + 16; t = r + 16; w = k + 18; i = a + 19; k = 3. If k = 3, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 13", "a": "t + 13", "e": "a + 18", "s": "e + 19", "w": "s + 7", "d": "w + 13", "y": "p + 19", "l": "y + 12", "f": "l + 16", "q": "f + 7", "g": "q + 5", "z": "g + 7", "p": 1}, "premises": {"p": 1}, "target": "d"}, "answer": {"steps": [["w", "s + 7", "s + 20"], ["s", "e + 19", "e + 39"], ["e", "a + 18", "a + 57"], ["a", "t + 13", "t + 70"], ["t", "p + 13", "p + 83"], ["p", 1, "84"]], "target_var_name": "d", "target_value": 84, "value_dict": {"p": 1}, "is_reverse": true}} | 15,109 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = g + 7; y = p + 19; q = f + 7; g = q + 5; s = e + 19; p = 1; f = l + 16; l = y + 12; e = a + 18; t = p + 13; d = w + 13; w = s + 7; a = t + 13. Given that p = 1, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 7 to d, which gives d = s + 20.\n2. Substitute s = e + 19 to d, which gives d = e + 39.\n3. Substitute e = a + 18 to d, which gives d = a + 57.\n4. Substitute a = t + 13 to d, which gives d = t + 70.\n5. Substitute t = p + 13 to d, which gives d = p + 83.\n6. Substitute p = 1 to d, which gives d = 84.\n\nThus, the final answer is d = \\boxed{84}.",
"index": 15109,
"question": "Suppose a collection of variables is related by the following definitions: z = g + 7; y = p + 19; q = f + 7; g = q + 5; s = e + 19; p = 1; f = l + 16; l = y + 12; e = a + 18; t = p + 13; d = w + 13; w = s + 7; a = t + 13. Given that p = 1, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 15", "x": "w + 12", "g": "x + 9", "a": "g + 5", "q": "a + 8", "e": "q + 11", "c": "k + 6", "l": "c + 14", "h": "l + 1", "j": "h + 8", "z": "j + 4", "d": "z + 13", "k": 4}, "premises": {"k": 4}, "target": "e"}, "answer": {"steps": [["q", "a + 8", "a + 19"], ["a", "g + 5", "g + 24"], ["g", "x + 9", "x + 33"], ["x", "w + 12", "w + 45"], ["w", "k + 15", "k + 60"], ["k", 4, "64"]], "target_var_name": "e", "target_value": 64, "value_dict": {"k": 4}, "is_reverse": true}} | 15,110 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = k + 6; j = h + 8; w = k + 15; x = w + 12; k = 4; h = l + 1; a = g + 5; l = c + 14; g = x + 9; e = q + 11; z = j + 4; q = a + 8; d = z + 13. If k = 4, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 8 to e, which gives e = a + 19.\n2. Substitute a = g + 5 to e, which gives e = g + 24.\n3. Substitute g = x + 9 to e, which gives e = x + 33.\n4. Substitute x = w + 12 to e, which gives e = w + 45.\n5. Substitute w = k + 15 to e, which gives e = k + 60.\n6. Substitute k = 4 to e, which gives e = 64.\n\nThus, the final answer is e = \\boxed{64}.",
"index": 15110,
"question": "Consider a system of variables where each variable is defined as follows: c = k + 6; j = h + 8; w = k + 15; x = w + 12; k = 4; h = l + 1; a = g + 5; l = c + 14; g = x + 9; e = q + 11; z = j + 4; q = a + 8; d = z + 13. If k = 4, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 17", "y": "v + 18", "i": "y + 18", "b": "i + 15", "n": "b + 1", "r": "n + 8", "c": "g + 18", "h": "c + 17", "k": "h + 18", "m": "k + 13", "q": "m + 12", "e": "q + 16", "g": 4}, "premises": {"g": 4}, "target": "r"}, "answer": {"steps": [["n", "b + 1", "b + 9"], ["b", "i + 15", "i + 24"], ["i", "y + 18", "y + 42"], ["y", "v + 18", "v + 60"], ["v", "g + 17", "g + 77"], ["g", 4, "81"]], "target_var_name": "r", "target_value": 81, "value_dict": {"g": 4}, "is_reverse": true}} | 15,111 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = v + 18; g = 4; q = m + 12; m = k + 13; i = y + 18; c = g + 18; h = c + 17; b = i + 15; n = b + 1; e = q + 16; v = g + 17; k = h + 18; r = n + 8. Given that g = 4, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 1 to r, which gives r = b + 9.\n2. Substitute b = i + 15 to r, which gives r = i + 24.\n3. Substitute i = y + 18 to r, which gives r = y + 42.\n4. Substitute y = v + 18 to r, which gives r = v + 60.\n5. Substitute v = g + 17 to r, which gives r = g + 77.\n6. Substitute g = 4 to r, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 15111,
"question": "Suppose a collection of variables is related by the following definitions: y = v + 18; g = 4; q = m + 12; m = k + 13; i = y + 18; c = g + 18; h = c + 17; b = i + 15; n = b + 1; e = q + 16; v = g + 17; k = h + 18; r = n + 8. Given that g = 4, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"y": "x + 19", "d": "y + 15", "s": "d + 11", "k": "s + 5", "i": "k + 16", "j": "i + 1", "h": "x + 4", "t": "h + 12", "o": "t + 2", "z": "o + 18", "n": "z + 1", "a": "n + 13", "x": 5}, "premises": {"x": 5}, "target": "j"}, "answer": {"steps": [["i", "k + 16", "k + 17"], ["k", "s + 5", "s + 22"], ["s", "d + 11", "d + 33"], ["d", "y + 15", "y + 48"], ["y", "x + 19", "x + 67"], ["x", 5, "72"]], "target_var_name": "j", "target_value": 72, "value_dict": {"x": 5}, "is_reverse": true}} | 15,112 | 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 = o + 18; n = z + 1; s = d + 11; k = s + 5; x = 5; j = i + 1; y = x + 19; t = h + 12; o = t + 2; h = x + 4; d = y + 15; a = n + 13; i = k + 16. If x = 5, what is the resulting value of j?",
"role": "user"... | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 16 to j, which gives j = k + 17.\n2. Substitute k = s + 5 to j, which gives j = s + 22.\n3. Substitute s = d + 11 to j, which gives j = d + 33.\n4. Substitute d = y + 15 to j, which gives j = y + 48.\n5. Substitute y = x + 19 to j, which gives j = x + 67.\n6. Substitute x = 5 to j, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 15112,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = o + 18; n = z + 1; s = d + 11; k = s + 5; x = 5; j = i + 1; y = x + 19; t = h + 12; o = t + 2; h = x + 4; d = y + 15; a = n + 13; i = k + 16. If x = 5, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"p": "y + 13", "j": "p + 3", "r": "j + 19", "d": "r + 14", "u": "d + 19", "m": "u + 20", "g": "y + 17", "q": "g + 14", "n": "q + 8", "w": "n + 17", "b": "w + 10", "z": "b + 20", "y": 12}, "premises": {"y": 12}, "target": "m"}, "answer": {"steps": [["u", "d + 19", "d + 39"], ["d", "r + 14", "r + 53"], ["r", "j + 19", "j + 72"], ["j", "p + 3", "p + 75"], ["p", "y + 13", "y + 88"], ["y", 12, "100"]], "target_var_name": "m", "target_value": 100, "value_dict": {"y": 12}, "is_reverse": true}} | 15,113 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = u + 20; z = b + 20; n = q + 8; p = y + 13; u = d + 19; y = 12; r = j + 19; g = y + 17; q = g + 14; w = n + 17; j = p + 3; b = w + 10; d = r + 14. Given that y = 12, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 19 to m, which gives m = d + 39.\n2. Substitute d = r + 14 to m, which gives m = r + 53.\n3. Substitute r = j + 19 to m, which gives m = j + 72.\n4. Substitute j = p + 3 to m, which gives m = p + 75.\n5. Substitute p = y + 13 to m, which gives m = y + 88.\n6. Substitute y = 12 to m, which gives m = 100.\n\nThus, the final answer is m = \\boxed{100}.",
"index": 15113,
"question": "Suppose a collection of variables is related by the following definitions: m = u + 20; z = b + 20; n = q + 8; p = y + 13; u = d + 19; y = 12; r = j + 19; g = y + 17; q = g + 14; w = n + 17; j = p + 3; b = w + 10; d = r + 14. Given that y = 12, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 11", "u": "c + 5", "e": "u + 7", "v": "e + 11", "w": "v + 13", "k": "w + 12", "r": "p + 12", "g": "r + 9", "y": "g + 13", "j": "y + 1", "i": "j + 8", "x": "i + 20", "p": 7}, "premises": {"p": 7}, "target": "k"}, "answer": {"steps": [["w", "v + 13", "v + 25"], ["v", "e + 11", "e + 36"], ["e", "u + 7", "u + 43"], ["u", "c + 5", "c + 48"], ["c", "p + 11", "p + 59"], ["p", 7, "66"]], "target_var_name": "k", "target_value": 66, "value_dict": {"p": 7}, "is_reverse": true}} | 15,114 | 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 = w + 12; e = u + 7; r = p + 12; j = y + 1; c = p + 11; v = e + 11; x = i + 20; i = j + 8; w = v + 13; y = g + 13; p = 7; g = r + 9; u = c + 5. If p = 7, what is the resulting value of k?",
"role": "user"... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 13 to k, which gives k = v + 25.\n2. Substitute v = e + 11 to k, which gives k = e + 36.\n3. Substitute e = u + 7 to k, which gives k = u + 43.\n4. Substitute u = c + 5 to k, which gives k = c + 48.\n5. Substitute c = p + 11 to k, which gives k = p + 59.\n6. Substitute p = 7 to k, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 15114,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = w + 12; e = u + 7; r = p + 12; j = y + 1; c = p + 11; v = e + 11; x = i + 20; i = j + 8; w = v + 13; y = g + 13; p = 7; g = r + 9; u = c + 5. If p = 7, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 14", "r": "b + 16", "j": "r + 8", "s": "j + 16", "e": "s + 12", "z": "e + 6", "m": "d + 1", "o": "m + 18", "p": "o + 9", "l": "p + 10", "g": "l + 6", "n": "g + 11", "d": 18}, "premises": {"d": 18}, "target": "z"}, "answer": {"steps": [["e", "s + 12", "s + 18"], ["s", "j + 16", "j + 34"], ["j", "r + 8", "r + 42"], ["r", "b + 16", "b + 58"], ["b", "d + 14", "d + 72"], ["d", 18, "90"]], "target_var_name": "z", "target_value": 90, "value_dict": {"d": 18}, "is_reverse": true}} | 15,115 | 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 = o + 9; d = 18; o = m + 18; n = g + 11; e = s + 12; z = e + 6; j = r + 8; g = l + 6; l = p + 10; b = d + 14; m = d + 1; s = j + 16; r = b + 16. If d = 18, what is the resulting value of z?",
"role": "use... | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 12 to z, which gives z = s + 18.\n2. Substitute s = j + 16 to z, which gives z = j + 34.\n3. Substitute j = r + 8 to z, which gives z = r + 42.\n4. Substitute r = b + 16 to z, which gives z = b + 58.\n5. Substitute b = d + 14 to z, which gives z = d + 72.\n6. Substitute d = 18 to z, which gives z = 90.\n\nThus, the final answer is z = \\boxed{90}.",
"index": 15115,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = o + 9; d = 18; o = m + 18; n = g + 11; e = s + 12; z = e + 6; j = r + 8; g = l + 6; l = p + 10; b = d + 14; m = d + 1; s = j + 16; r = b + 16. If d = 18, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"q": "b + 12", "g": "q + 16", "p": "g + 7", "z": "p + 11", "h": "z + 11", "a": "h + 14", "k": "b + 2", "o": "k + 15", "v": "o + 8", "c": "v + 4", "i": "c + 19", "u": "i + 19", "b": 9}, "premises": {"b": 9}, "target": "a"}, "answer": {"steps": [["h", "z + 11", "z + 25"], ["z", "p + 11", "p + 36"], ["p", "g + 7", "g + 43"], ["g", "q + 16", "q + 59"], ["q", "b + 12", "b + 71"], ["b", 9, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"b": 9}, "is_reverse": true}} | 15,116 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = z + 11; z = p + 11; g = q + 16; c = v + 4; q = b + 12; o = k + 15; b = 9; p = g + 7; k = b + 2; a = h + 14; i = c + 19; u = i + 19; v = o + 8. Given that b = 9, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 11 to a, which gives a = z + 25.\n2. Substitute z = p + 11 to a, which gives a = p + 36.\n3. Substitute p = g + 7 to a, which gives a = g + 43.\n4. Substitute g = q + 16 to a, which gives a = q + 59.\n5. Substitute q = b + 12 to a, which gives a = b + 71.\n6. Substitute b = 9 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 15116,
"question": "Suppose a collection of variables is related by the following definitions: h = z + 11; z = p + 11; g = q + 16; c = v + 4; q = b + 12; o = k + 15; b = 9; p = g + 7; k = b + 2; a = h + 14; i = c + 19; u = i + 19; v = o + 8. Given that b = 9, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 11", "h": "x + 3", "j": "h + 4", "a": "j + 9", "q": "a + 17", "o": "q + 8", "r": "g + 5", "f": "r + 14", "w": "f + 15", "n": "w + 5", "s": "n + 16", "p": "s + 3", "g": 6}, "premises": {"g": 6}, "target": "o"}, "answer": {"steps": [["q", "a + 17", "a + 25"], ["a", "j + 9", "j + 34"], ["j", "h + 4", "h + 38"], ["h", "x + 3", "x + 41"], ["x", "g + 11", "g + 52"], ["g", 6, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"g": 6}, "is_reverse": true}} | 15,117 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = s + 3; q = a + 17; s = n + 16; f = r + 14; r = g + 5; o = q + 8; a = j + 9; x = g + 11; g = 6; w = f + 15; j = h + 4; n = w + 5; h = x + 3. Given that g = 6, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 17 to o, which gives o = a + 25.\n2. Substitute a = j + 9 to o, which gives o = j + 34.\n3. Substitute j = h + 4 to o, which gives o = h + 38.\n4. Substitute h = x + 3 to o, which gives o = x + 41.\n5. Substitute x = g + 11 to o, which gives o = g + 52.\n6. Substitute g = 6 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 15117,
"question": "Suppose a collection of variables is related by the following definitions: p = s + 3; q = a + 17; s = n + 16; f = r + 14; r = g + 5; o = q + 8; a = j + 9; x = g + 11; g = 6; w = f + 15; j = h + 4; n = w + 5; h = x + 3. Given that g = 6, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"b": "i + 11", "n": "b + 1", "y": "n + 8", "w": "y + 8", "m": "w + 16", "q": "m + 8", "j": "i + 1", "s": "j + 17", "f": "s + 20", "l": "f + 8", "r": "l + 12", "x": "r + 18", "i": 5}, "premises": {"i": 5}, "target": "q"}, "answer": {"steps": [["m", "w + 16", "w + 24"], ["w", "y + 8", "y + 32"], ["y", "n + 8", "n + 40"], ["n", "b + 1", "b + 41"], ["b", "i + 11", "i + 52"], ["i", 5, "57"]], "target_var_name": "q", "target_value": 57, "value_dict": {"i": 5}, "is_reverse": true}} | 15,118 | 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 = r + 18; m = w + 16; f = s + 20; i = 5; b = i + 11; n = b + 1; s = j + 17; j = i + 1; r = l + 12; q = m + 8; l = f + 8; w = y + 8; y = n + 8. If i = 5, what is the resulting value of q?",
"role": "user"
... | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 16 to q, which gives q = w + 24.\n2. Substitute w = y + 8 to q, which gives q = y + 32.\n3. Substitute y = n + 8 to q, which gives q = n + 40.\n4. Substitute n = b + 1 to q, which gives q = b + 41.\n5. Substitute b = i + 11 to q, which gives q = i + 52.\n6. Substitute i = 5 to q, which gives q = 57.\n\nThus, the final answer is q = \\boxed{57}.",
"index": 15118,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 18; m = w + 16; f = s + 20; i = 5; b = i + 11; n = b + 1; s = j + 17; j = i + 1; r = l + 12; q = m + 8; l = f + 8; w = y + 8; y = n + 8. If i = 5, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 9", "u": "v + 14", "c": "u + 2", "m": "c + 11", "o": "m + 8", "a": "o + 4", "e": "l + 3", "p": "e + 1", "s": "p + 9", "n": "s + 20", "t": "n + 14", "h": "t + 11", "l": 19}, "premises": {"l": 19}, "target": "a"}, "answer": {"steps": [["o", "m + 8", "m + 12"], ["m", "c + 11", "c + 23"], ["c", "u + 2", "u + 25"], ["u", "v + 14", "v + 39"], ["v", "l + 9", "l + 48"], ["l", 19, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"l": 19}, "is_reverse": true}} | 15,119 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = e + 1; e = l + 3; u = v + 14; a = o + 4; t = n + 14; n = s + 20; l = 19; h = t + 11; v = l + 9; o = m + 8; m = c + 11; s = p + 9; c = u + 2. Given that l = 19, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 8 to a, which gives a = m + 12.\n2. Substitute m = c + 11 to a, which gives a = c + 23.\n3. Substitute c = u + 2 to a, which gives a = u + 25.\n4. Substitute u = v + 14 to a, which gives a = v + 39.\n5. Substitute v = l + 9 to a, which gives a = l + 48.\n6. Substitute l = 19 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 15119,
"question": "Suppose a collection of variables is related by the following definitions: p = e + 1; e = l + 3; u = v + 14; a = o + 4; t = n + 14; n = s + 20; l = 19; h = t + 11; v = l + 9; o = m + 8; m = c + 11; s = p + 9; c = u + 2. Given that l = 19, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 1", "o": "r + 12", "s": "o + 20", "z": "s + 16", "t": "z + 19", "h": "t + 20", "f": "m + 4", "k": "f + 6", "y": "k + 10", "p": "y + 1", "e": "p + 5", "l": "e + 6", "m": 14}, "premises": {"m": 14}, "target": "h"}, "answer": {"steps": [["t", "z + 19", "z + 39"], ["z", "s + 16", "s + 55"], ["s", "o + 20", "o + 75"], ["o", "r + 12", "r + 87"], ["r", "m + 1", "m + 88"], ["m", 14, "102"]], "target_var_name": "h", "target_value": 102, "value_dict": {"m": 14}, "is_reverse": true}} | 15,120 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = s + 16; h = t + 20; e = p + 5; m = 14; k = f + 6; t = z + 19; s = o + 20; o = r + 12; r = m + 1; y = k + 10; p = y + 1; l = e + 6; f = m + 4. Given that m = 14, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 19 to h, which gives h = z + 39.\n2. Substitute z = s + 16 to h, which gives h = s + 55.\n3. Substitute s = o + 20 to h, which gives h = o + 75.\n4. Substitute o = r + 12 to h, which gives h = r + 87.\n5. Substitute r = m + 1 to h, which gives h = m + 88.\n6. Substitute m = 14 to h, which gives h = 102.\n\nThus, the final answer is h = \\boxed{102}.",
"index": 15120,
"question": "Suppose a collection of variables is related by the following definitions: z = s + 16; h = t + 20; e = p + 5; m = 14; k = f + 6; t = z + 19; s = o + 20; o = r + 12; r = m + 1; y = k + 10; p = y + 1; l = e + 6; f = m + 4. Given that m = 14, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 10", "b": "f + 20", "j": "b + 6", "z": "j + 20", "n": "z + 12", "u": "n + 1", "r": "d + 4", "l": "r + 20", "p": "l + 19", "q": "p + 2", "h": "q + 6", "o": "h + 20", "d": 4}, "premises": {"d": 4}, "target": "u"}, "answer": {"steps": [["n", "z + 12", "z + 13"], ["z", "j + 20", "j + 33"], ["j", "b + 6", "b + 39"], ["b", "f + 20", "f + 59"], ["f", "d + 10", "d + 69"], ["d", 4, "73"]], "target_var_name": "u", "target_value": 73, "value_dict": {"d": 4}, "is_reverse": true}} | 15,121 | 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 = d + 4; n = z + 12; q = p + 2; u = n + 1; z = j + 20; b = f + 20; f = d + 10; l = r + 20; j = b + 6; o = h + 20; d = 4; h = q + 6; p = l + 19. If d = 4, what is the resulting value of u?",
"role": "user"... | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 12 to u, which gives u = z + 13.\n2. Substitute z = j + 20 to u, which gives u = j + 33.\n3. Substitute j = b + 6 to u, which gives u = b + 39.\n4. Substitute b = f + 20 to u, which gives u = f + 59.\n5. Substitute f = d + 10 to u, which gives u = d + 69.\n6. Substitute d = 4 to u, which gives u = 73.\n\nThus, the final answer is u = \\boxed{73}.",
"index": 15121,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = d + 4; n = z + 12; q = p + 2; u = n + 1; z = j + 20; b = f + 20; f = d + 10; l = r + 20; j = b + 6; o = h + 20; d = 4; h = q + 6; p = l + 19. If d = 4, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"z": "x + 12", "o": "z + 5", "m": "o + 19", "q": "m + 16", "u": "q + 16", "j": "u + 2", "p": "x + 10", "f": "p + 3", "a": "f + 14", "h": "a + 10", "n": "h + 4", "b": "n + 9", "x": 18}, "premises": {"x": 18}, "target": "j"}, "answer": {"steps": [["u", "q + 16", "q + 18"], ["q", "m + 16", "m + 34"], ["m", "o + 19", "o + 53"], ["o", "z + 5", "z + 58"], ["z", "x + 12", "x + 70"], ["x", 18, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"x": 18}, "is_reverse": true}} | 15,122 | 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 = q + 16; j = u + 2; a = f + 14; h = a + 10; n = h + 4; p = x + 10; z = x + 12; o = z + 5; f = p + 3; x = 18; b = n + 9; q = m + 16; m = o + 19. If x = 18, what is the resulting value of j?",
"role": "use... | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 16 to j, which gives j = q + 18.\n2. Substitute q = m + 16 to j, which gives j = m + 34.\n3. Substitute m = o + 19 to j, which gives j = o + 53.\n4. Substitute o = z + 5 to j, which gives j = z + 58.\n5. Substitute z = x + 12 to j, which gives j = x + 70.\n6. Substitute x = 18 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 15122,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 16; j = u + 2; a = f + 14; h = a + 10; n = h + 4; p = x + 10; z = x + 12; o = z + 5; f = p + 3; x = 18; b = n + 9; q = m + 16; m = o + 19. If x = 18, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 19", "a": "b + 18", "r": "a + 3", "n": "r + 12", "q": "n + 4", "j": "q + 3", "w": "e + 6", "v": "w + 4", "l": "v + 12", "f": "l + 1", "k": "f + 4", "y": "k + 18", "e": 7}, "premises": {"e": 7}, "target": "j"}, "answer": {"steps": [["q", "n + 4", "n + 7"], ["n", "r + 12", "r + 19"], ["r", "a + 3", "a + 22"], ["a", "b + 18", "b + 40"], ["b", "e + 19", "e + 59"], ["e", 7, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"e": 7}, "is_reverse": true}} | 15,123 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = k + 18; j = q + 3; l = v + 12; w = e + 6; v = w + 4; b = e + 19; r = a + 3; e = 7; a = b + 18; q = n + 4; n = r + 12; f = l + 1; k = f + 4. Given that e = 7, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 4 to j, which gives j = n + 7.\n2. Substitute n = r + 12 to j, which gives j = r + 19.\n3. Substitute r = a + 3 to j, which gives j = a + 22.\n4. Substitute a = b + 18 to j, which gives j = b + 40.\n5. Substitute b = e + 19 to j, which gives j = e + 59.\n6. Substitute e = 7 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 15123,
"question": "Suppose a collection of variables is related by the following definitions: y = k + 18; j = q + 3; l = v + 12; w = e + 6; v = w + 4; b = e + 19; r = a + 3; e = 7; a = b + 18; q = n + 4; n = r + 12; f = l + 1; k = f + 4. Given that e = 7, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 5", "h": "v + 9", "y": "h + 13", "w": "y + 19", "n": "w + 3", "a": "n + 18", "o": "b + 19", "e": "o + 3", "j": "e + 8", "x": "j + 11", "t": "x + 1", "f": "t + 4", "b": 9}, "premises": {"b": 9}, "target": "a"}, "answer": {"steps": [["n", "w + 3", "w + 21"], ["w", "y + 19", "y + 40"], ["y", "h + 13", "h + 53"], ["h", "v + 9", "v + 62"], ["v", "b + 5", "b + 67"], ["b", 9, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"b": 9}, "is_reverse": true}} | 15,124 | 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 = n + 18; h = v + 9; n = w + 3; x = j + 11; w = y + 19; j = e + 8; e = o + 3; t = x + 1; v = b + 5; f = t + 4; o = b + 19; b = 9; y = h + 13. If b = 9, what is the resulting value of a?",
"role": "user"
... | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 3 to a, which gives a = w + 21.\n2. Substitute w = y + 19 to a, which gives a = y + 40.\n3. Substitute y = h + 13 to a, which gives a = h + 53.\n4. Substitute h = v + 9 to a, which gives a = v + 62.\n5. Substitute v = b + 5 to a, which gives a = b + 67.\n6. Substitute b = 9 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 15124,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 18; h = v + 9; n = w + 3; x = j + 11; w = y + 19; j = e + 8; e = o + 3; t = x + 1; v = b + 5; f = t + 4; o = b + 19; b = 9; y = h + 13. If b = 9, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"q": "v + 6", "i": "q + 4", "a": "i + 19", "l": "a + 15", "e": "l + 16", "s": "e + 3", "r": "v + 13", "t": "r + 7", "h": "t + 16", "m": "h + 9", "y": "m + 12", "k": "y + 15", "v": 3}, "premises": {"v": 3}, "target": "s"}, "answer": {"steps": [["e", "l + 16", "l + 19"], ["l", "a + 15", "a + 34"], ["a", "i + 19", "i + 53"], ["i", "q + 4", "q + 57"], ["q", "v + 6", "v + 63"], ["v", 3, "66"]], "target_var_name": "s", "target_value": 66, "value_dict": {"v": 3}, "is_reverse": true}} | 15,125 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = v + 13; h = t + 16; q = v + 6; e = l + 16; a = i + 19; t = r + 7; k = y + 15; v = 3; s = e + 3; i = q + 4; l = a + 15; y = m + 12; m = h + 9. If v = 3, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 16 to s, which gives s = l + 19.\n2. Substitute l = a + 15 to s, which gives s = a + 34.\n3. Substitute a = i + 19 to s, which gives s = i + 53.\n4. Substitute i = q + 4 to s, which gives s = q + 57.\n5. Substitute q = v + 6 to s, which gives s = v + 63.\n6. Substitute v = 3 to s, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 15125,
"question": "Consider a system of variables where each variable is defined as follows: r = v + 13; h = t + 16; q = v + 6; e = l + 16; a = i + 19; t = r + 7; k = y + 15; v = 3; s = e + 3; i = q + 4; l = a + 15; y = m + 12; m = h + 9. If v = 3, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"l": "i + 5", "y": "l + 16", "g": "y + 14", "b": "g + 3", "a": "b + 12", "w": "a + 5", "x": "i + 13", "f": "x + 19", "d": "f + 1", "h": "d + 1", "e": "h + 20", "s": "e + 17", "i": 17}, "premises": {"i": 17}, "target": "w"}, "answer": {"steps": [["a", "b + 12", "b + 17"], ["b", "g + 3", "g + 20"], ["g", "y + 14", "y + 34"], ["y", "l + 16", "l + 50"], ["l", "i + 5", "i + 55"], ["i", 17, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"i": 17}, "is_reverse": true}} | 15,126 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = e + 17; a = b + 12; g = y + 14; h = d + 1; x = i + 13; f = x + 19; b = g + 3; l = i + 5; i = 17; d = f + 1; y = l + 16; e = h + 20; w = a + 5. Given that i = 17, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 12 to w, which gives w = b + 17.\n2. Substitute b = g + 3 to w, which gives w = g + 20.\n3. Substitute g = y + 14 to w, which gives w = y + 34.\n4. Substitute y = l + 16 to w, which gives w = l + 50.\n5. Substitute l = i + 5 to w, which gives w = i + 55.\n6. Substitute i = 17 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 15126,
"question": "Suppose a collection of variables is related by the following definitions: s = e + 17; a = b + 12; g = y + 14; h = d + 1; x = i + 13; f = x + 19; b = g + 3; l = i + 5; i = 17; d = f + 1; y = l + 16; e = h + 20; w = a + 5. Given that i = 17, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 6", "j": "u + 3", "v": "j + 9", "m": "v + 9", "b": "m + 20", "y": "b + 11", "z": "x + 8", "r": "z + 5", "s": "r + 19", "k": "s + 10", "l": "k + 3", "f": "l + 18", "x": 20}, "premises": {"x": 20}, "target": "y"}, "answer": {"steps": [["b", "m + 20", "m + 31"], ["m", "v + 9", "v + 40"], ["v", "j + 9", "j + 49"], ["j", "u + 3", "u + 52"], ["u", "x + 6", "x + 58"], ["x", 20, "78"]], "target_var_name": "y", "target_value": 78, "value_dict": {"x": 20}, "is_reverse": true}} | 15,127 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = x + 8; y = b + 11; x = 20; b = m + 20; s = r + 19; k = s + 10; r = z + 5; u = x + 6; f = l + 18; l = k + 3; m = v + 9; v = j + 9; j = u + 3. If x = 20, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 20 to y, which gives y = m + 31.\n2. Substitute m = v + 9 to y, which gives y = v + 40.\n3. Substitute v = j + 9 to y, which gives y = j + 49.\n4. Substitute j = u + 3 to y, which gives y = u + 52.\n5. Substitute u = x + 6 to y, which gives y = x + 58.\n6. Substitute x = 20 to y, which gives y = 78.\n\nThus, the final answer is y = \\boxed{78}.",
"index": 15127,
"question": "Consider a system of variables where each variable is defined as follows: z = x + 8; y = b + 11; x = 20; b = m + 20; s = r + 19; k = s + 10; r = z + 5; u = x + 6; f = l + 18; l = k + 3; m = v + 9; v = j + 9; j = u + 3. If x = 20, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 10", "f": "k + 18", "t": "f + 3", "n": "t + 17", "z": "n + 6", "c": "z + 20", "q": "r + 14", "g": "q + 15", "b": "g + 15", "x": "b + 10", "u": "x + 4", "m": "u + 11", "r": 3}, "premises": {"r": 3}, "target": "c"}, "answer": {"steps": [["z", "n + 6", "n + 26"], ["n", "t + 17", "t + 43"], ["t", "f + 3", "f + 46"], ["f", "k + 18", "k + 64"], ["k", "r + 10", "r + 74"], ["r", 3, "77"]], "target_var_name": "c", "target_value": 77, "value_dict": {"r": 3}, "is_reverse": true}} | 15,128 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = x + 4; q = r + 14; z = n + 6; r = 3; n = t + 17; m = u + 11; b = g + 15; t = f + 3; f = k + 18; g = q + 15; k = r + 10; x = b + 10; c = z + 20. If r = 3, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 6 to c, which gives c = n + 26.\n2. Substitute n = t + 17 to c, which gives c = t + 43.\n3. Substitute t = f + 3 to c, which gives c = f + 46.\n4. Substitute f = k + 18 to c, which gives c = k + 64.\n5. Substitute k = r + 10 to c, which gives c = r + 74.\n6. Substitute r = 3 to c, which gives c = 77.\n\nThus, the final answer is c = \\boxed{77}.",
"index": 15128,
"question": "Consider a system of variables where each variable is defined as follows: u = x + 4; q = r + 14; z = n + 6; r = 3; n = t + 17; m = u + 11; b = g + 15; t = f + 3; f = k + 18; g = q + 15; k = r + 10; x = b + 10; c = z + 20. If r = 3, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 13", "s": "k + 13", "w": "s + 19", "e": "w + 5", "d": "e + 18", "u": "d + 16", "a": "p + 17", "j": "a + 18", "m": "j + 1", "v": "m + 6", "g": "v + 12", "n": "g + 7", "p": 9}, "premises": {"p": 9}, "target": "u"}, "answer": {"steps": [["d", "e + 18", "e + 34"], ["e", "w + 5", "w + 39"], ["w", "s + 19", "s + 58"], ["s", "k + 13", "k + 71"], ["k", "p + 13", "p + 84"], ["p", 9, "93"]], "target_var_name": "u", "target_value": 93, "value_dict": {"p": 9}, "is_reverse": true}} | 15,129 | 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 + 16; p = 9; s = k + 13; g = v + 12; v = m + 6; d = e + 18; j = a + 18; k = p + 13; w = s + 19; m = j + 1; a = p + 17; n = g + 7; e = w + 5. If p = 9, what is the resulting value of u?",
"role": "user... | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 18 to u, which gives u = e + 34.\n2. Substitute e = w + 5 to u, which gives u = w + 39.\n3. Substitute w = s + 19 to u, which gives u = s + 58.\n4. Substitute s = k + 13 to u, which gives u = k + 71.\n5. Substitute k = p + 13 to u, which gives u = p + 84.\n6. Substitute p = 9 to u, which gives u = 93.\n\nThus, the final answer is u = \\boxed{93}.",
"index": 15129,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = d + 16; p = 9; s = k + 13; g = v + 12; v = m + 6; d = e + 18; j = a + 18; k = p + 13; w = s + 19; m = j + 1; a = p + 17; n = g + 7; e = w + 5. If p = 9, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"o": "k + 1", "n": "o + 11", "j": "n + 13", "g": "j + 2", "v": "g + 7", "x": "v + 11", "h": "k + 16", "m": "h + 5", "t": "m + 6", "d": "t + 19", "p": "d + 1", "l": "p + 13", "k": 15}, "premises": {"k": 15}, "target": "x"}, "answer": {"steps": [["v", "g + 7", "g + 18"], ["g", "j + 2", "j + 20"], ["j", "n + 13", "n + 33"], ["n", "o + 11", "o + 44"], ["o", "k + 1", "k + 45"], ["k", 15, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"k": 15}, "is_reverse": true}} | 15,130 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = n + 13; d = t + 19; n = o + 11; t = m + 6; m = h + 5; k = 15; v = g + 7; p = d + 1; o = k + 1; g = j + 2; h = k + 16; l = p + 13; x = v + 11. Given that k = 15, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 7 to x, which gives x = g + 18.\n2. Substitute g = j + 2 to x, which gives x = j + 20.\n3. Substitute j = n + 13 to x, which gives x = n + 33.\n4. Substitute n = o + 11 to x, which gives x = o + 44.\n5. Substitute o = k + 1 to x, which gives x = k + 45.\n6. Substitute k = 15 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 15130,
"question": "Suppose a collection of variables is related by the following definitions: j = n + 13; d = t + 19; n = o + 11; t = m + 6; m = h + 5; k = 15; v = g + 7; p = d + 1; o = k + 1; g = j + 2; h = k + 16; l = p + 13; x = v + 11. Given that k = 15, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 7", "b": "a + 20", "s": "b + 3", "d": "s + 5", "l": "d + 13", "f": "l + 12", "c": "y + 13", "h": "c + 4", "i": "h + 7", "m": "i + 10", "o": "m + 3", "q": "o + 3", "y": 12}, "premises": {"y": 12}, "target": "f"}, "answer": {"steps": [["l", "d + 13", "d + 25"], ["d", "s + 5", "s + 30"], ["s", "b + 3", "b + 33"], ["b", "a + 20", "a + 53"], ["a", "y + 7", "y + 60"], ["y", 12, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"y": 12}, "is_reverse": true}} | 15,131 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = i + 10; c = y + 13; d = s + 5; h = c + 4; q = o + 3; o = m + 3; s = b + 3; a = y + 7; b = a + 20; y = 12; i = h + 7; l = d + 13; f = l + 12. Given that y = 12, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 13 to f, which gives f = d + 25.\n2. Substitute d = s + 5 to f, which gives f = s + 30.\n3. Substitute s = b + 3 to f, which gives f = b + 33.\n4. Substitute b = a + 20 to f, which gives f = a + 53.\n5. Substitute a = y + 7 to f, which gives f = y + 60.\n6. Substitute y = 12 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 15131,
"question": "Suppose a collection of variables is related by the following definitions: m = i + 10; c = y + 13; d = s + 5; h = c + 4; q = o + 3; o = m + 3; s = b + 3; a = y + 7; b = a + 20; y = 12; i = h + 7; l = d + 13; f = l + 12. Given that y = 12, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 1", "v": "x + 18", "o": "v + 13", "b": "o + 19", "e": "b + 8", "g": "e + 3", "z": "k + 6", "u": "z + 10", "m": "u + 5", "l": "m + 9", "q": "l + 18", "d": "q + 7", "k": 4}, "premises": {"k": 4}, "target": "g"}, "answer": {"steps": [["e", "b + 8", "b + 11"], ["b", "o + 19", "o + 30"], ["o", "v + 13", "v + 43"], ["v", "x + 18", "x + 61"], ["x", "k + 1", "k + 62"], ["k", 4, "66"]], "target_var_name": "g", "target_value": 66, "value_dict": {"k": 4}, "is_reverse": true}} | 15,132 | 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 = v + 13; e = b + 8; x = k + 1; v = x + 18; m = u + 5; u = z + 10; b = o + 19; g = e + 3; q = l + 18; l = m + 9; d = q + 7; k = 4; z = k + 6. If k = 4, what is the resulting value of g?",
"role": "user"
... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 8 to g, which gives g = b + 11.\n2. Substitute b = o + 19 to g, which gives g = o + 30.\n3. Substitute o = v + 13 to g, which gives g = v + 43.\n4. Substitute v = x + 18 to g, which gives g = x + 61.\n5. Substitute x = k + 1 to g, which gives g = k + 62.\n6. Substitute k = 4 to g, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 15132,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = v + 13; e = b + 8; x = k + 1; v = x + 18; m = u + 5; u = z + 10; b = o + 19; g = e + 3; q = l + 18; l = m + 9; d = q + 7; k = 4; z = k + 6. If k = 4, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 3", "y": "c + 5", "u": "y + 19", "l": "u + 13", "e": "l + 11", "s": "e + 4", "o": "p + 14", "q": "o + 1", "t": "q + 4", "m": "t + 1", "h": "m + 20", "v": "h + 14", "p": 3}, "premises": {"p": 3}, "target": "s"}, "answer": {"steps": [["e", "l + 11", "l + 15"], ["l", "u + 13", "u + 28"], ["u", "y + 19", "y + 47"], ["y", "c + 5", "c + 52"], ["c", "p + 3", "p + 55"], ["p", 3, "58"]], "target_var_name": "s", "target_value": 58, "value_dict": {"p": 3}, "is_reverse": true}} | 15,133 | 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 = p + 3; y = c + 5; t = q + 4; s = e + 4; p = 3; q = o + 1; m = t + 1; e = l + 11; l = u + 13; o = p + 14; h = m + 20; v = h + 14; u = y + 19. If p = 3, what is the resulting value of s?",
"role": "user"
... | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 11 to s, which gives s = l + 15.\n2. Substitute l = u + 13 to s, which gives s = u + 28.\n3. Substitute u = y + 19 to s, which gives s = y + 47.\n4. Substitute y = c + 5 to s, which gives s = c + 52.\n5. Substitute c = p + 3 to s, which gives s = p + 55.\n6. Substitute p = 3 to s, which gives s = 58.\n\nThus, the final answer is s = \\boxed{58}.",
"index": 15133,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = p + 3; y = c + 5; t = q + 4; s = e + 4; p = 3; q = o + 1; m = t + 1; e = l + 11; l = u + 13; o = p + 14; h = m + 20; v = h + 14; u = y + 19. If p = 3, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 19", "s": "a + 19", "p": "s + 1", "u": "p + 10", "o": "u + 18", "b": "o + 6", "z": "r + 20", "g": "z + 1", "f": "g + 1", "w": "f + 9", "n": "w + 13", "j": "n + 3", "r": 1}, "premises": {"r": 1}, "target": "b"}, "answer": {"steps": [["o", "u + 18", "u + 24"], ["u", "p + 10", "p + 34"], ["p", "s + 1", "s + 35"], ["s", "a + 19", "a + 54"], ["a", "r + 19", "r + 73"], ["r", 1, "74"]], "target_var_name": "b", "target_value": 74, "value_dict": {"r": 1}, "is_reverse": true}} | 15,134 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = n + 3; n = w + 13; a = r + 19; b = o + 6; w = f + 9; o = u + 18; p = s + 1; r = 1; z = r + 20; s = a + 19; f = g + 1; u = p + 10; g = z + 1. If r = 1, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 18 to b, which gives b = u + 24.\n2. Substitute u = p + 10 to b, which gives b = p + 34.\n3. Substitute p = s + 1 to b, which gives b = s + 35.\n4. Substitute s = a + 19 to b, which gives b = a + 54.\n5. Substitute a = r + 19 to b, which gives b = r + 73.\n6. Substitute r = 1 to b, which gives b = 74.\n\nThus, the final answer is b = \\boxed{74}.",
"index": 15134,
"question": "Consider a system of variables where each variable is defined as follows: j = n + 3; n = w + 13; a = r + 19; b = o + 6; w = f + 9; o = u + 18; p = s + 1; r = 1; z = r + 20; s = a + 19; f = g + 1; u = p + 10; g = z + 1. If r = 1, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 9", "b": "z + 14", "i": "b + 17", "u": "i + 7", "w": "u + 12", "t": "w + 4", "m": "c + 10", "x": "m + 8", "s": "x + 7", "p": "s + 1", "a": "p + 20", "d": "a + 7", "c": 1}, "premises": {"c": 1}, "target": "t"}, "answer": {"steps": [["w", "u + 12", "u + 16"], ["u", "i + 7", "i + 23"], ["i", "b + 17", "b + 40"], ["b", "z + 14", "z + 54"], ["z", "c + 9", "c + 63"], ["c", 1, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"c": 1}, "is_reverse": true}} | 15,135 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = u + 12; p = s + 1; d = a + 7; t = w + 4; c = 1; i = b + 17; m = c + 10; b = z + 14; a = p + 20; u = i + 7; s = x + 7; z = c + 9; x = m + 8. Given that c = 1, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 12 to t, which gives t = u + 16.\n2. Substitute u = i + 7 to t, which gives t = i + 23.\n3. Substitute i = b + 17 to t, which gives t = b + 40.\n4. Substitute b = z + 14 to t, which gives t = z + 54.\n5. Substitute z = c + 9 to t, which gives t = c + 63.\n6. Substitute c = 1 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 15135,
"question": "Suppose a collection of variables is related by the following definitions: w = u + 12; p = s + 1; d = a + 7; t = w + 4; c = 1; i = b + 17; m = c + 10; b = z + 14; a = p + 20; u = i + 7; s = x + 7; z = c + 9; x = m + 8. Given that c = 1, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"x": "b + 9", "z": "x + 20", "e": "z + 5", "o": "e + 2", "j": "o + 15", "c": "j + 15", "l": "b + 11", "g": "l + 6", "v": "g + 12", "r": "v + 17", "p": "r + 16", "t": "p + 16", "b": 9}, "premises": {"b": 9}, "target": "c"}, "answer": {"steps": [["j", "o + 15", "o + 30"], ["o", "e + 2", "e + 32"], ["e", "z + 5", "z + 37"], ["z", "x + 20", "x + 57"], ["x", "b + 9", "b + 66"], ["b", 9, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"b": 9}, "is_reverse": true}} | 15,136 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 16; o = e + 2; b = 9; c = j + 15; v = g + 12; p = r + 16; j = o + 15; g = l + 6; l = b + 11; x = b + 9; e = z + 5; r = v + 17; z = x + 20. If b = 9, what is the resulting value of c?",
"role": "user... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 15 to c, which gives c = o + 30.\n2. Substitute o = e + 2 to c, which gives c = e + 32.\n3. Substitute e = z + 5 to c, which gives c = z + 37.\n4. Substitute z = x + 20 to c, which gives c = x + 57.\n5. Substitute x = b + 9 to c, which gives c = b + 66.\n6. Substitute b = 9 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 15136,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 16; o = e + 2; b = 9; c = j + 15; v = g + 12; p = r + 16; j = o + 15; g = l + 6; l = b + 11; x = b + 9; e = z + 5; r = v + 17; z = x + 20. If b = 9, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 14", "q": "t + 19", "j": "q + 19", "a": "j + 12", "p": "a + 17", "l": "p + 14", "m": "g + 7", "o": "m + 19", "n": "o + 18", "i": "n + 4", "x": "i + 9", "y": "x + 4", "g": 10}, "premises": {"g": 10}, "target": "l"}, "answer": {"steps": [["p", "a + 17", "a + 31"], ["a", "j + 12", "j + 43"], ["j", "q + 19", "q + 62"], ["q", "t + 19", "t + 81"], ["t", "g + 14", "g + 95"], ["g", 10, "105"]], "target_var_name": "l", "target_value": 105, "value_dict": {"g": 10}, "is_reverse": true}} | 15,137 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = q + 19; p = a + 17; i = n + 4; q = t + 19; n = o + 18; m = g + 7; l = p + 14; t = g + 14; x = i + 9; o = m + 19; g = 10; a = j + 12; y = x + 4. If g = 10, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 17 to l, which gives l = a + 31.\n2. Substitute a = j + 12 to l, which gives l = j + 43.\n3. Substitute j = q + 19 to l, which gives l = q + 62.\n4. Substitute q = t + 19 to l, which gives l = t + 81.\n5. Substitute t = g + 14 to l, which gives l = g + 95.\n6. Substitute g = 10 to l, which gives l = 105.\n\nThus, the final answer is l = \\boxed{105}.",
"index": 15137,
"question": "Consider a system of variables where each variable is defined as follows: j = q + 19; p = a + 17; i = n + 4; q = t + 19; n = o + 18; m = g + 7; l = p + 14; t = g + 14; x = i + 9; o = m + 19; g = 10; a = j + 12; y = x + 4. If g = 10, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"a": "f + 18", "x": "a + 10", "i": "x + 20", "n": "i + 6", "e": "n + 18", "l": "e + 10", "s": "f + 20", "c": "s + 11", "u": "c + 5", "q": "u + 4", "k": "q + 14", "o": "k + 5", "f": 18}, "premises": {"f": 18}, "target": "l"}, "answer": {"steps": [["e", "n + 18", "n + 28"], ["n", "i + 6", "i + 34"], ["i", "x + 20", "x + 54"], ["x", "a + 10", "a + 64"], ["a", "f + 18", "f + 82"], ["f", 18, "100"]], "target_var_name": "l", "target_value": 100, "value_dict": {"f": 18}, "is_reverse": true}} | 15,138 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 5; f = 18; k = q + 14; e = n + 18; c = s + 11; a = f + 18; l = e + 10; q = u + 4; x = a + 10; o = k + 5; n = i + 6; i = x + 20; s = f + 20. If f = 18, what is the resulting value of l?",
"role": "us... | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 18 to l, which gives l = n + 28.\n2. Substitute n = i + 6 to l, which gives l = i + 34.\n3. Substitute i = x + 20 to l, which gives l = x + 54.\n4. Substitute x = a + 10 to l, which gives l = a + 64.\n5. Substitute a = f + 18 to l, which gives l = f + 82.\n6. Substitute f = 18 to l, which gives l = 100.\n\nThus, the final answer is l = \\boxed{100}.",
"index": 15138,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 5; f = 18; k = q + 14; e = n + 18; c = s + 11; a = f + 18; l = e + 10; q = u + 4; x = a + 10; o = k + 5; n = i + 6; i = x + 20; s = f + 20. If f = 18, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 20", "e": "s + 19", "h": "e + 11", "g": "h + 10", "d": "g + 9", "w": "d + 13", "q": "m + 17", "r": "q + 16", "u": "r + 16", "o": "u + 5", "p": "o + 20", "y": "p + 19", "m": 5}, "premises": {"m": 5}, "target": "w"}, "answer": {"steps": [["d", "g + 9", "g + 22"], ["g", "h + 10", "h + 32"], ["h", "e + 11", "e + 43"], ["e", "s + 19", "s + 62"], ["s", "m + 20", "m + 82"], ["m", 5, "87"]], "target_var_name": "w", "target_value": 87, "value_dict": {"m": 5}, "is_reverse": true}} | 15,139 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = e + 11; y = p + 19; o = u + 5; d = g + 9; e = s + 19; u = r + 16; w = d + 13; r = q + 16; g = h + 10; q = m + 17; m = 5; p = o + 20; s = m + 20. Given that m = 5, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 9 to w, which gives w = g + 22.\n2. Substitute g = h + 10 to w, which gives w = h + 32.\n3. Substitute h = e + 11 to w, which gives w = e + 43.\n4. Substitute e = s + 19 to w, which gives w = s + 62.\n5. Substitute s = m + 20 to w, which gives w = m + 82.\n6. Substitute m = 5 to w, which gives w = 87.\n\nThus, the final answer is w = \\boxed{87}.",
"index": 15139,
"question": "Suppose a collection of variables is related by the following definitions: h = e + 11; y = p + 19; o = u + 5; d = g + 9; e = s + 19; u = r + 16; w = d + 13; r = q + 16; g = h + 10; q = m + 17; m = 5; p = o + 20; s = m + 20. Given that m = 5, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 19", "q": "v + 7", "t": "q + 13", "s": "t + 10", "i": "s + 14", "w": "i + 15", "r": "f + 2", "o": "r + 5", "x": "o + 1", "y": "x + 20", "z": "y + 17", "h": "z + 2", "f": 2}, "premises": {"f": 2}, "target": "w"}, "answer": {"steps": [["i", "s + 14", "s + 29"], ["s", "t + 10", "t + 39"], ["t", "q + 13", "q + 52"], ["q", "v + 7", "v + 59"], ["v", "f + 19", "f + 78"], ["f", 2, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"f": 2}, "is_reverse": true}} | 15,140 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = i + 15; y = x + 20; s = t + 10; x = o + 1; f = 2; h = z + 2; o = r + 5; t = q + 13; v = f + 19; r = f + 2; q = v + 7; z = y + 17; i = s + 14. If f = 2, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 14 to w, which gives w = s + 29.\n2. Substitute s = t + 10 to w, which gives w = t + 39.\n3. Substitute t = q + 13 to w, which gives w = q + 52.\n4. Substitute q = v + 7 to w, which gives w = v + 59.\n5. Substitute v = f + 19 to w, which gives w = f + 78.\n6. Substitute f = 2 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 15140,
"question": "Consider a system of variables where each variable is defined as follows: w = i + 15; y = x + 20; s = t + 10; x = o + 1; f = 2; h = z + 2; o = r + 5; t = q + 13; v = f + 19; r = f + 2; q = v + 7; z = y + 17; i = s + 14. If f = 2, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 13", "u": "e + 13", "w": "u + 3", "b": "w + 18", "h": "b + 8", "f": "h + 3", "i": "x + 10", "c": "i + 14", "l": "c + 4", "o": "l + 16", "y": "o + 14", "m": "y + 8", "x": 19}, "premises": {"x": 19}, "target": "f"}, "answer": {"steps": [["h", "b + 8", "b + 11"], ["b", "w + 18", "w + 29"], ["w", "u + 3", "u + 32"], ["u", "e + 13", "e + 45"], ["e", "x + 13", "x + 58"], ["x", 19, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"x": 19}, "is_reverse": true}} | 15,141 | 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 = l + 16; f = h + 3; i = x + 10; e = x + 13; x = 19; c = i + 14; y = o + 14; u = e + 13; m = y + 8; h = b + 8; b = w + 18; l = c + 4; w = u + 3. If x = 19, what is the resulting value of f?",
"role": "use... | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 8 to f, which gives f = b + 11.\n2. Substitute b = w + 18 to f, which gives f = w + 29.\n3. Substitute w = u + 3 to f, which gives f = u + 32.\n4. Substitute u = e + 13 to f, which gives f = e + 45.\n5. Substitute e = x + 13 to f, which gives f = x + 58.\n6. Substitute x = 19 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 15141,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = l + 16; f = h + 3; i = x + 10; e = x + 13; x = 19; c = i + 14; y = o + 14; u = e + 13; m = y + 8; h = b + 8; b = w + 18; l = c + 4; w = u + 3. If x = 19, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 5", "e": "t + 17", "c": "e + 16", "i": "c + 14", "k": "i + 13", "o": "k + 14", "x": "y + 20", "a": "x + 19", "f": "a + 6", "j": "f + 7", "b": "j + 5", "h": "b + 5", "y": 16}, "premises": {"y": 16}, "target": "o"}, "answer": {"steps": [["k", "i + 13", "i + 27"], ["i", "c + 14", "c + 41"], ["c", "e + 16", "e + 57"], ["e", "t + 17", "t + 74"], ["t", "y + 5", "y + 79"], ["y", 16, "95"]], "target_var_name": "o", "target_value": 95, "value_dict": {"y": 16}, "is_reverse": true}} | 15,142 | 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 = j + 5; j = f + 7; f = a + 6; c = e + 16; e = t + 17; x = y + 20; h = b + 5; k = i + 13; i = c + 14; a = x + 19; o = k + 14; y = 16; t = y + 5. If y = 16, what is the resulting value of o?",
"role": "use... | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 13 to o, which gives o = i + 27.\n2. Substitute i = c + 14 to o, which gives o = c + 41.\n3. Substitute c = e + 16 to o, which gives o = e + 57.\n4. Substitute e = t + 17 to o, which gives o = t + 74.\n5. Substitute t = y + 5 to o, which gives o = y + 79.\n6. Substitute y = 16 to o, which gives o = 95.\n\nThus, the final answer is o = \\boxed{95}.",
"index": 15142,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 5; j = f + 7; f = a + 6; c = e + 16; e = t + 17; x = y + 20; h = b + 5; k = i + 13; i = c + 14; a = x + 19; o = k + 14; y = 16; t = y + 5. If y = 16, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 7", "c": "s + 2", "i": "c + 11", "u": "i + 4", "d": "u + 19", "o": "d + 16", "r": "h + 1", "f": "r + 11", "v": "f + 12", "l": "v + 3", "j": "l + 16", "q": "j + 8", "h": 7}, "premises": {"h": 7}, "target": "o"}, "answer": {"steps": [["d", "u + 19", "u + 35"], ["u", "i + 4", "i + 39"], ["i", "c + 11", "c + 50"], ["c", "s + 2", "s + 52"], ["s", "h + 7", "h + 59"], ["h", 7, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"h": 7}, "is_reverse": true}} | 15,143 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = u + 19; f = r + 11; u = i + 4; q = j + 8; j = l + 16; h = 7; c = s + 2; i = c + 11; l = v + 3; o = d + 16; r = h + 1; s = h + 7; v = f + 12. If h = 7, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 19 to o, which gives o = u + 35.\n2. Substitute u = i + 4 to o, which gives o = i + 39.\n3. Substitute i = c + 11 to o, which gives o = c + 50.\n4. Substitute c = s + 2 to o, which gives o = s + 52.\n5. Substitute s = h + 7 to o, which gives o = h + 59.\n6. Substitute h = 7 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 15143,
"question": "Consider a system of variables where each variable is defined as follows: d = u + 19; f = r + 11; u = i + 4; q = j + 8; j = l + 16; h = 7; c = s + 2; i = c + 11; l = v + 3; o = d + 16; r = h + 1; s = h + 7; v = f + 12. If h = 7, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 13", "q": "u + 17", "z": "q + 1", "n": "z + 20", "f": "n + 13", "e": "f + 17", "h": "x + 20", "y": "h + 20", "r": "y + 20", "s": "r + 10", "g": "s + 11", "b": "g + 14", "x": 15}, "premises": {"x": 15}, "target": "e"}, "answer": {"steps": [["f", "n + 13", "n + 30"], ["n", "z + 20", "z + 50"], ["z", "q + 1", "q + 51"], ["q", "u + 17", "u + 68"], ["u", "x + 13", "x + 81"], ["x", 15, "96"]], "target_var_name": "e", "target_value": 96, "value_dict": {"x": 15}, "is_reverse": true}} | 15,144 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = h + 20; n = z + 20; e = f + 17; g = s + 11; h = x + 20; s = r + 10; u = x + 13; b = g + 14; r = y + 20; f = n + 13; q = u + 17; z = q + 1; x = 15. Given that x = 15, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 13 to e, which gives e = n + 30.\n2. Substitute n = z + 20 to e, which gives e = z + 50.\n3. Substitute z = q + 1 to e, which gives e = q + 51.\n4. Substitute q = u + 17 to e, which gives e = u + 68.\n5. Substitute u = x + 13 to e, which gives e = x + 81.\n6. Substitute x = 15 to e, which gives e = 96.\n\nThus, the final answer is e = \\boxed{96}.",
"index": 15144,
"question": "Suppose a collection of variables is related by the following definitions: y = h + 20; n = z + 20; e = f + 17; g = s + 11; h = x + 20; s = r + 10; u = x + 13; b = g + 14; r = y + 20; f = n + 13; q = u + 17; z = q + 1; x = 15. Given that x = 15, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 2", "l": "w + 8", "a": "l + 7", "z": "a + 9", "p": "z + 13", "k": "p + 13", "n": "y + 15", "r": "n + 16", "c": "r + 13", "i": "c + 10", "m": "i + 5", "t": "m + 16", "y": 20}, "premises": {"y": 20}, "target": "k"}, "answer": {"steps": [["p", "z + 13", "z + 26"], ["z", "a + 9", "a + 35"], ["a", "l + 7", "l + 42"], ["l", "w + 8", "w + 50"], ["w", "y + 2", "y + 52"], ["y", 20, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"y": 20}, "is_reverse": true}} | 15,145 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = i + 5; i = c + 10; a = l + 7; r = n + 16; y = 20; z = a + 9; c = r + 13; k = p + 13; p = z + 13; l = w + 8; t = m + 16; n = y + 15; w = y + 2. If y = 20, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 13 to k, which gives k = z + 26.\n2. Substitute z = a + 9 to k, which gives k = a + 35.\n3. Substitute a = l + 7 to k, which gives k = l + 42.\n4. Substitute l = w + 8 to k, which gives k = w + 50.\n5. Substitute w = y + 2 to k, which gives k = y + 52.\n6. Substitute y = 20 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 15145,
"question": "Consider a system of variables where each variable is defined as follows: m = i + 5; i = c + 10; a = l + 7; r = n + 16; y = 20; z = a + 9; c = r + 13; k = p + 13; p = z + 13; l = w + 8; t = m + 16; n = y + 15; w = y + 2. If y = 20, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 5", "z": "g + 1", "r": "z + 7", "p": "r + 6", "w": "p + 2", "h": "w + 9", "k": "x + 13", "v": "k + 19", "c": "v + 1", "m": "c + 12", "u": "m + 9", "o": "u + 16", "x": 7}, "premises": {"x": 7}, "target": "h"}, "answer": {"steps": [["w", "p + 2", "p + 11"], ["p", "r + 6", "r + 17"], ["r", "z + 7", "z + 24"], ["z", "g + 1", "g + 25"], ["g", "x + 5", "x + 30"], ["x", 7, "37"]], "target_var_name": "h", "target_value": 37, "value_dict": {"x": 7}, "is_reverse": true}} | 15,146 | 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 = g + 1; u = m + 9; x = 7; g = x + 5; h = w + 9; m = c + 12; o = u + 16; r = z + 7; k = x + 13; p = r + 6; w = p + 2; c = v + 1; v = k + 19. If x = 7, what is the resulting value of h?",
"role": "user"
... | math | {
"ground_truth": 37,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 2 to h, which gives h = p + 11.\n2. Substitute p = r + 6 to h, which gives h = r + 17.\n3. Substitute r = z + 7 to h, which gives h = z + 24.\n4. Substitute z = g + 1 to h, which gives h = g + 25.\n5. Substitute g = x + 5 to h, which gives h = x + 30.\n6. Substitute x = 7 to h, which gives h = 37.\n\nThus, the final answer is h = \\boxed{37}.",
"index": 15146,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = g + 1; u = m + 9; x = 7; g = x + 5; h = w + 9; m = c + 12; o = u + 16; r = z + 7; k = x + 13; p = r + 6; w = p + 2; c = v + 1; v = k + 19. If x = 7, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"m": "q + 12", "r": "m + 14", "d": "r + 14", "i": "d + 3", "l": "i + 20", "s": "l + 10", "z": "q + 19", "g": "z + 15", "f": "g + 7", "y": "f + 19", "x": "y + 17", "o": "x + 18", "q": 13}, "premises": {"q": 13}, "target": "s"}, "answer": {"steps": [["l", "i + 20", "i + 30"], ["i", "d + 3", "d + 33"], ["d", "r + 14", "r + 47"], ["r", "m + 14", "m + 61"], ["m", "q + 12", "q + 73"], ["q", 13, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"q": 13}, "is_reverse": true}} | 15,147 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = r + 14; r = m + 14; z = q + 19; m = q + 12; x = y + 17; q = 13; s = l + 10; o = x + 18; g = z + 15; f = g + 7; l = i + 20; i = d + 3; y = f + 19. Given that q = 13, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 20 to s, which gives s = i + 30.\n2. Substitute i = d + 3 to s, which gives s = d + 33.\n3. Substitute d = r + 14 to s, which gives s = r + 47.\n4. Substitute r = m + 14 to s, which gives s = m + 61.\n5. Substitute m = q + 12 to s, which gives s = q + 73.\n6. Substitute q = 13 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 15147,
"question": "Suppose a collection of variables is related by the following definitions: d = r + 14; r = m + 14; z = q + 19; m = q + 12; x = y + 17; q = 13; s = l + 10; o = x + 18; g = z + 15; f = g + 7; l = i + 20; i = d + 3; y = f + 19. Given that q = 13, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 4", "e": "g + 18", "b": "e + 19", "u": "b + 18", "x": "u + 11", "q": "x + 15", "d": "h + 16", "l": "d + 14", "n": "l + 19", "p": "n + 2", "z": "p + 16", "s": "z + 8", "h": 5}, "premises": {"h": 5}, "target": "q"}, "answer": {"steps": [["x", "u + 11", "u + 26"], ["u", "b + 18", "b + 44"], ["b", "e + 19", "e + 63"], ["e", "g + 18", "g + 81"], ["g", "h + 4", "h + 85"], ["h", 5, "90"]], "target_var_name": "q", "target_value": 90, "value_dict": {"h": 5}, "is_reverse": true}} | 15,148 | 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 = e + 19; s = z + 8; d = h + 16; g = h + 4; q = x + 15; h = 5; e = g + 18; z = p + 16; p = n + 2; u = b + 18; n = l + 19; x = u + 11; l = d + 14. If h = 5, what is the resulting value of q?",
"role": "use... | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 11 to q, which gives q = u + 26.\n2. Substitute u = b + 18 to q, which gives q = b + 44.\n3. Substitute b = e + 19 to q, which gives q = e + 63.\n4. Substitute e = g + 18 to q, which gives q = g + 81.\n5. Substitute g = h + 4 to q, which gives q = h + 85.\n6. Substitute h = 5 to q, which gives q = 90.\n\nThus, the final answer is q = \\boxed{90}.",
"index": 15148,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = e + 19; s = z + 8; d = h + 16; g = h + 4; q = x + 15; h = 5; e = g + 18; z = p + 16; p = n + 2; u = b + 18; n = l + 19; x = u + 11; l = d + 14. If h = 5, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 11", "q": "i + 20", "j": "q + 19", "u": "j + 4", "f": "u + 19", "n": "f + 2", "l": "w + 5", "p": "l + 9", "v": "p + 2", "d": "v + 6", "o": "d + 17", "h": "o + 4", "w": 16}, "premises": {"w": 16}, "target": "n"}, "answer": {"steps": [["f", "u + 19", "u + 21"], ["u", "j + 4", "j + 25"], ["j", "q + 19", "q + 44"], ["q", "i + 20", "i + 64"], ["i", "w + 11", "w + 75"], ["w", 16, "91"]], "target_var_name": "n", "target_value": 91, "value_dict": {"w": 16}, "is_reverse": true}} | 15,149 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = u + 19; v = p + 2; j = q + 19; o = d + 17; q = i + 20; p = l + 9; w = 16; n = f + 2; l = w + 5; h = o + 4; i = w + 11; d = v + 6; u = j + 4. If w = 16, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 19 to n, which gives n = u + 21.\n2. Substitute u = j + 4 to n, which gives n = j + 25.\n3. Substitute j = q + 19 to n, which gives n = q + 44.\n4. Substitute q = i + 20 to n, which gives n = i + 64.\n5. Substitute i = w + 11 to n, which gives n = w + 75.\n6. Substitute w = 16 to n, which gives n = 91.\n\nThus, the final answer is n = \\boxed{91}.",
"index": 15149,
"question": "Consider a system of variables where each variable is defined as follows: f = u + 19; v = p + 2; j = q + 19; o = d + 17; q = i + 20; p = l + 9; w = 16; n = f + 2; l = w + 5; h = o + 4; i = w + 11; d = v + 6; u = j + 4. If w = 16, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 8", "l": "m + 17", "t": "l + 18", "n": "t + 20", "q": "n + 5", "i": "q + 8", "f": "k + 17", "v": "f + 12", "j": "v + 18", "s": "j + 4", "d": "s + 15", "a": "d + 12", "k": 11}, "premises": {"k": 11}, "target": "i"}, "answer": {"steps": [["q", "n + 5", "n + 13"], ["n", "t + 20", "t + 33"], ["t", "l + 18", "l + 51"], ["l", "m + 17", "m + 68"], ["m", "k + 8", "k + 76"], ["k", 11, "87"]], "target_var_name": "i", "target_value": 87, "value_dict": {"k": 11}, "is_reverse": true}} | 15,150 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = l + 18; d = s + 15; i = q + 8; k = 11; j = v + 18; f = k + 17; s = j + 4; l = m + 17; v = f + 12; q = n + 5; m = k + 8; n = t + 20; a = d + 12. Given that k = 11, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 5 to i, which gives i = n + 13.\n2. Substitute n = t + 20 to i, which gives i = t + 33.\n3. Substitute t = l + 18 to i, which gives i = l + 51.\n4. Substitute l = m + 17 to i, which gives i = m + 68.\n5. Substitute m = k + 8 to i, which gives i = k + 76.\n6. Substitute k = 11 to i, which gives i = 87.\n\nThus, the final answer is i = \\boxed{87}.",
"index": 15150,
"question": "Suppose a collection of variables is related by the following definitions: t = l + 18; d = s + 15; i = q + 8; k = 11; j = v + 18; f = k + 17; s = j + 4; l = m + 17; v = f + 12; q = n + 5; m = k + 8; n = t + 20; a = d + 12. Given that k = 11, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 5", "r": "l + 8", "s": "r + 1", "g": "s + 10", "d": "g + 14", "e": "d + 15", "j": "h + 3", "m": "j + 10", "z": "m + 7", "c": "z + 18", "w": "c + 11", "p": "w + 4", "h": 11}, "premises": {"h": 11}, "target": "e"}, "answer": {"steps": [["d", "g + 14", "g + 29"], ["g", "s + 10", "s + 39"], ["s", "r + 1", "r + 40"], ["r", "l + 8", "l + 48"], ["l", "h + 5", "h + 53"], ["h", 11, "64"]], "target_var_name": "e", "target_value": 64, "value_dict": {"h": 11}, "is_reverse": true}} | 15,151 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = g + 14; z = m + 7; s = r + 1; g = s + 10; h = 11; p = w + 4; j = h + 3; m = j + 10; c = z + 18; w = c + 11; l = h + 5; r = l + 8; e = d + 15. If h = 11, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 14 to e, which gives e = g + 29.\n2. Substitute g = s + 10 to e, which gives e = s + 39.\n3. Substitute s = r + 1 to e, which gives e = r + 40.\n4. Substitute r = l + 8 to e, which gives e = l + 48.\n5. Substitute l = h + 5 to e, which gives e = h + 53.\n6. Substitute h = 11 to e, which gives e = 64.\n\nThus, the final answer is e = \\boxed{64}.",
"index": 15151,
"question": "Consider a system of variables where each variable is defined as follows: d = g + 14; z = m + 7; s = r + 1; g = s + 10; h = 11; p = w + 4; j = h + 3; m = j + 10; c = z + 18; w = c + 11; l = h + 5; r = l + 8; e = d + 15. If h = 11, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 5", "t": "v + 19", "y": "t + 3", "d": "y + 7", "q": "d + 4", "u": "q + 13", "b": "j + 13", "c": "b + 10", "a": "c + 4", "z": "a + 10", "o": "z + 4", "w": "o + 4", "j": 2}, "premises": {"j": 2}, "target": "u"}, "answer": {"steps": [["q", "d + 4", "d + 17"], ["d", "y + 7", "y + 24"], ["y", "t + 3", "t + 27"], ["t", "v + 19", "v + 46"], ["v", "j + 5", "j + 51"], ["j", 2, "53"]], "target_var_name": "u", "target_value": 53, "value_dict": {"j": 2}, "is_reverse": true}} | 15,152 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = z + 4; u = q + 13; w = o + 4; y = t + 3; t = v + 19; a = c + 4; z = a + 10; c = b + 10; b = j + 13; j = 2; v = j + 5; d = y + 7; q = d + 4. Given that j = 2, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 4 to u, which gives u = d + 17.\n2. Substitute d = y + 7 to u, which gives u = y + 24.\n3. Substitute y = t + 3 to u, which gives u = t + 27.\n4. Substitute t = v + 19 to u, which gives u = v + 46.\n5. Substitute v = j + 5 to u, which gives u = j + 51.\n6. Substitute j = 2 to u, which gives u = 53.\n\nThus, the final answer is u = \\boxed{53}.",
"index": 15152,
"question": "Suppose a collection of variables is related by the following definitions: o = z + 4; u = q + 13; w = o + 4; y = t + 3; t = v + 19; a = c + 4; z = a + 10; c = b + 10; b = j + 13; j = 2; v = j + 5; d = y + 7; q = d + 4. Given that j = 2, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 8", "m": "j + 4", "q": "m + 18", "v": "q + 10", "n": "v + 7", "l": "n + 4", "y": "f + 15", "z": "y + 2", "b": "z + 4", "i": "b + 9", "a": "i + 9", "p": "a + 11", "f": 19}, "premises": {"f": 19}, "target": "l"}, "answer": {"steps": [["n", "v + 7", "v + 11"], ["v", "q + 10", "q + 21"], ["q", "m + 18", "m + 39"], ["m", "j + 4", "j + 43"], ["j", "f + 8", "f + 51"], ["f", 19, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"f": 19}, "is_reverse": true}} | 15,153 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = q + 10; y = f + 15; j = f + 8; n = v + 7; f = 19; b = z + 4; m = j + 4; i = b + 9; l = n + 4; z = y + 2; p = a + 11; q = m + 18; a = i + 9. Given that f = 19, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 7 to l, which gives l = v + 11.\n2. Substitute v = q + 10 to l, which gives l = q + 21.\n3. Substitute q = m + 18 to l, which gives l = m + 39.\n4. Substitute m = j + 4 to l, which gives l = j + 43.\n5. Substitute j = f + 8 to l, which gives l = f + 51.\n6. Substitute f = 19 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 15153,
"question": "Suppose a collection of variables is related by the following definitions: v = q + 10; y = f + 15; j = f + 8; n = v + 7; f = 19; b = z + 4; m = j + 4; i = b + 9; l = n + 4; z = y + 2; p = a + 11; q = m + 18; a = i + 9. Given that f = 19, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 2", "z": "r + 6", "f": "z + 14", "c": "f + 16", "i": "c + 14", "s": "i + 4", "m": "w + 17", "o": "m + 15", "u": "o + 13", "y": "u + 19", "l": "y + 20", "b": "l + 18", "w": 14}, "premises": {"w": 14}, "target": "s"}, "answer": {"steps": [["i", "c + 14", "c + 18"], ["c", "f + 16", "f + 34"], ["f", "z + 14", "z + 48"], ["z", "r + 6", "r + 54"], ["r", "w + 2", "w + 56"], ["w", 14, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"w": 14}, "is_reverse": true}} | 15,154 | 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 = o + 13; z = r + 6; s = i + 4; y = u + 19; m = w + 17; i = c + 14; b = l + 18; w = 14; o = m + 15; l = y + 20; f = z + 14; c = f + 16; r = w + 2. If w = 14, what is the resulting value of s?",
"role": "u... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 14 to s, which gives s = c + 18.\n2. Substitute c = f + 16 to s, which gives s = f + 34.\n3. Substitute f = z + 14 to s, which gives s = z + 48.\n4. Substitute z = r + 6 to s, which gives s = r + 54.\n5. Substitute r = w + 2 to s, which gives s = w + 56.\n6. Substitute w = 14 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 15154,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 13; z = r + 6; s = i + 4; y = u + 19; m = w + 17; i = c + 14; b = l + 18; w = 14; o = m + 15; l = y + 20; f = z + 14; c = f + 16; r = w + 2. If w = 14, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 13", "v": "j + 19", "r": "v + 9", "f": "r + 2", "g": "f + 7", "k": "g + 16", "x": "y + 18", "s": "x + 19", "c": "s + 9", "d": "c + 11", "u": "d + 4", "w": "u + 15", "y": 15}, "premises": {"y": 15}, "target": "k"}, "answer": {"steps": [["g", "f + 7", "f + 23"], ["f", "r + 2", "r + 25"], ["r", "v + 9", "v + 34"], ["v", "j + 19", "j + 53"], ["j", "y + 13", "y + 66"], ["y", 15, "81"]], "target_var_name": "k", "target_value": 81, "value_dict": {"y": 15}, "is_reverse": true}} | 15,155 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 19; w = u + 15; j = y + 13; y = 15; f = r + 2; k = g + 16; d = c + 11; g = f + 7; c = s + 9; r = v + 9; v = j + 19; u = d + 4; x = y + 18. If y = 15, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 7 to k, which gives k = f + 23.\n2. Substitute f = r + 2 to k, which gives k = r + 25.\n3. Substitute r = v + 9 to k, which gives k = v + 34.\n4. Substitute v = j + 19 to k, which gives k = j + 53.\n5. Substitute j = y + 13 to k, which gives k = y + 66.\n6. Substitute y = 15 to k, which gives k = 81.\n\nThus, the final answer is k = \\boxed{81}.",
"index": 15155,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 19; w = u + 15; j = y + 13; y = 15; f = r + 2; k = g + 16; d = c + 11; g = f + 7; c = s + 9; r = v + 9; v = j + 19; u = d + 4; x = y + 18. If y = 15, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 16", "w": "c + 12", "q": "w + 9", "s": "q + 1", "r": "s + 9", "x": "r + 10", "j": "l + 3", "v": "j + 12", "f": "v + 7", "d": "f + 19", "t": "d + 4", "a": "t + 13", "l": 13}, "premises": {"l": 13}, "target": "x"}, "answer": {"steps": [["r", "s + 9", "s + 19"], ["s", "q + 1", "q + 20"], ["q", "w + 9", "w + 29"], ["w", "c + 12", "c + 41"], ["c", "l + 16", "l + 57"], ["l", 13, "70"]], "target_var_name": "x", "target_value": 70, "value_dict": {"l": 13}, "is_reverse": true}} | 15,156 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = q + 1; q = w + 9; x = r + 10; d = f + 19; c = l + 16; w = c + 12; l = 13; t = d + 4; j = l + 3; v = j + 12; f = v + 7; a = t + 13; r = s + 9. Given that l = 13, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 9 to x, which gives x = s + 19.\n2. Substitute s = q + 1 to x, which gives x = q + 20.\n3. Substitute q = w + 9 to x, which gives x = w + 29.\n4. Substitute w = c + 12 to x, which gives x = c + 41.\n5. Substitute c = l + 16 to x, which gives x = l + 57.\n6. Substitute l = 13 to x, which gives x = 70.\n\nThus, the final answer is x = \\boxed{70}.",
"index": 15156,
"question": "Suppose a collection of variables is related by the following definitions: s = q + 1; q = w + 9; x = r + 10; d = f + 19; c = l + 16; w = c + 12; l = 13; t = d + 4; j = l + 3; v = j + 12; f = v + 7; a = t + 13; r = s + 9. Given that l = 13, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 14", "o": "n + 6", "u": "o + 15", "x": "u + 9", "r": "x + 20", "w": "r + 3", "v": "d + 6", "p": "v + 11", "c": "p + 7", "h": "c + 9", "f": "h + 8", "m": "f + 5", "d": 10}, "premises": {"d": 10}, "target": "w"}, "answer": {"steps": [["r", "x + 20", "x + 23"], ["x", "u + 9", "u + 32"], ["u", "o + 15", "o + 47"], ["o", "n + 6", "n + 53"], ["n", "d + 14", "d + 67"], ["d", 10, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"d": 10}, "is_reverse": true}} | 15,157 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = n + 6; v = d + 6; m = f + 5; c = p + 7; w = r + 3; d = 10; u = o + 15; n = d + 14; r = x + 20; h = c + 9; p = v + 11; x = u + 9; f = h + 8. Given that d = 10, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 20 to w, which gives w = x + 23.\n2. Substitute x = u + 9 to w, which gives w = u + 32.\n3. Substitute u = o + 15 to w, which gives w = o + 47.\n4. Substitute o = n + 6 to w, which gives w = n + 53.\n5. Substitute n = d + 14 to w, which gives w = d + 67.\n6. Substitute d = 10 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 15157,
"question": "Suppose a collection of variables is related by the following definitions: o = n + 6; v = d + 6; m = f + 5; c = p + 7; w = r + 3; d = 10; u = o + 15; n = d + 14; r = x + 20; h = c + 9; p = v + 11; x = u + 9; f = h + 8. Given that d = 10, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 14", "o": "i + 12", "l": "o + 2", "f": "l + 16", "a": "f + 3", "b": "a + 8", "g": "s + 9", "c": "g + 5", "y": "c + 17", "m": "y + 10", "z": "m + 7", "x": "z + 20", "s": 14}, "premises": {"s": 14}, "target": "b"}, "answer": {"steps": [["a", "f + 3", "f + 11"], ["f", "l + 16", "l + 27"], ["l", "o + 2", "o + 29"], ["o", "i + 12", "i + 41"], ["i", "s + 14", "s + 55"], ["s", 14, "69"]], "target_var_name": "b", "target_value": 69, "value_dict": {"s": 14}, "is_reverse": true}} | 15,158 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 16; o = i + 12; a = f + 3; s = 14; x = z + 20; y = c + 17; g = s + 9; z = m + 7; b = a + 8; i = s + 14; l = o + 2; c = g + 5; m = y + 10. If s = 14, what is the resulting value of b?",
"role": "user... | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 3 to b, which gives b = f + 11.\n2. Substitute f = l + 16 to b, which gives b = l + 27.\n3. Substitute l = o + 2 to b, which gives b = o + 29.\n4. Substitute o = i + 12 to b, which gives b = i + 41.\n5. Substitute i = s + 14 to b, which gives b = s + 55.\n6. Substitute s = 14 to b, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 15158,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 16; o = i + 12; a = f + 3; s = 14; x = z + 20; y = c + 17; g = s + 9; z = m + 7; b = a + 8; i = s + 14; l = o + 2; c = g + 5; m = y + 10. If s = 14, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 14", "j": "t + 6", "s": "j + 8", "r": "s + 1", "a": "r + 16", "c": "a + 14", "d": "u + 11", "m": "d + 16", "v": "m + 17", "l": "v + 17", "p": "l + 5", "e": "p + 20", "u": 20}, "premises": {"u": 20}, "target": "c"}, "answer": {"steps": [["a", "r + 16", "r + 30"], ["r", "s + 1", "s + 31"], ["s", "j + 8", "j + 39"], ["j", "t + 6", "t + 45"], ["t", "u + 14", "u + 59"], ["u", 20, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"u": 20}, "is_reverse": true}} | 15,159 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = p + 20; a = r + 16; r = s + 1; p = l + 5; l = v + 17; s = j + 8; v = m + 17; j = t + 6; c = a + 14; d = u + 11; t = u + 14; m = d + 16; u = 20. If u = 20, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 16 to c, which gives c = r + 30.\n2. Substitute r = s + 1 to c, which gives c = s + 31.\n3. Substitute s = j + 8 to c, which gives c = j + 39.\n4. Substitute j = t + 6 to c, which gives c = t + 45.\n5. Substitute t = u + 14 to c, which gives c = u + 59.\n6. Substitute u = 20 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 15159,
"question": "Consider a system of variables where each variable is defined as follows: e = p + 20; a = r + 16; r = s + 1; p = l + 5; l = v + 17; s = j + 8; v = m + 17; j = t + 6; c = a + 14; d = u + 11; t = u + 14; m = d + 16; u = 20. If u = 20, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"m": "j + 5", "a": "m + 18", "y": "a + 12", "c": "y + 17", "s": "c + 2", "u": "s + 6", "h": "j + 11", "w": "h + 15", "x": "w + 1", "z": "x + 13", "r": "z + 2", "v": "r + 5", "j": 16}, "premises": {"j": 16}, "target": "u"}, "answer": {"steps": [["s", "c + 2", "c + 8"], ["c", "y + 17", "y + 25"], ["y", "a + 12", "a + 37"], ["a", "m + 18", "m + 55"], ["m", "j + 5", "j + 60"], ["j", 16, "76"]], "target_var_name": "u", "target_value": 76, "value_dict": {"j": 16}, "is_reverse": true}} | 15,160 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = s + 6; r = z + 2; v = r + 5; h = j + 11; j = 16; w = h + 15; m = j + 5; s = c + 2; z = x + 13; c = y + 17; y = a + 12; x = w + 1; a = m + 18. Given that j = 16, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 2 to u, which gives u = c + 8.\n2. Substitute c = y + 17 to u, which gives u = y + 25.\n3. Substitute y = a + 12 to u, which gives u = a + 37.\n4. Substitute a = m + 18 to u, which gives u = m + 55.\n5. Substitute m = j + 5 to u, which gives u = j + 60.\n6. Substitute j = 16 to u, which gives u = 76.\n\nThus, the final answer is u = \\boxed{76}.",
"index": 15160,
"question": "Suppose a collection of variables is related by the following definitions: u = s + 6; r = z + 2; v = r + 5; h = j + 11; j = 16; w = h + 15; m = j + 5; s = c + 2; z = x + 13; c = y + 17; y = a + 12; x = w + 1; a = m + 18. Given that j = 16, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"i": "m + 12", "f": "i + 8", "n": "f + 20", "w": "n + 14", "h": "w + 12", "t": "h + 15", "s": "m + 10", "e": "s + 20", "b": "e + 8", "v": "b + 16", "z": "v + 13", "d": "z + 7", "m": 6}, "premises": {"m": 6}, "target": "t"}, "answer": {"steps": [["h", "w + 12", "w + 27"], ["w", "n + 14", "n + 41"], ["n", "f + 20", "f + 61"], ["f", "i + 8", "i + 69"], ["i", "m + 12", "m + 81"], ["m", 6, "87"]], "target_var_name": "t", "target_value": 87, "value_dict": {"m": 6}, "is_reverse": true}} | 15,161 | 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 = z + 7; e = s + 20; v = b + 16; t = h + 15; f = i + 8; s = m + 10; m = 6; n = f + 20; b = e + 8; i = m + 12; w = n + 14; h = w + 12; z = v + 13. If m = 6, what is the resulting value of t?",
"role": "use... | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 12 to t, which gives t = w + 27.\n2. Substitute w = n + 14 to t, which gives t = n + 41.\n3. Substitute n = f + 20 to t, which gives t = f + 61.\n4. Substitute f = i + 8 to t, which gives t = i + 69.\n5. Substitute i = m + 12 to t, which gives t = m + 81.\n6. Substitute m = 6 to t, which gives t = 87.\n\nThus, the final answer is t = \\boxed{87}.",
"index": 15161,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = z + 7; e = s + 20; v = b + 16; t = h + 15; f = i + 8; s = m + 10; m = 6; n = f + 20; b = e + 8; i = m + 12; w = n + 14; h = w + 12; z = v + 13. If m = 6, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 14", "d": "c + 10", "y": "d + 11", "r": "y + 7", "i": "r + 20", "o": "i + 2", "m": "b + 5", "q": "m + 18", "v": "q + 2", "f": "v + 9", "h": "f + 8", "j": "h + 18", "b": 18}, "premises": {"b": 18}, "target": "o"}, "answer": {"steps": [["i", "r + 20", "r + 22"], ["r", "y + 7", "y + 29"], ["y", "d + 11", "d + 40"], ["d", "c + 10", "c + 50"], ["c", "b + 14", "b + 64"], ["b", 18, "82"]], "target_var_name": "o", "target_value": 82, "value_dict": {"b": 18}, "is_reverse": true}} | 15,162 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = h + 18; i = r + 20; m = b + 5; r = y + 7; c = b + 14; y = d + 11; f = v + 9; o = i + 2; h = f + 8; b = 18; v = q + 2; q = m + 18; d = c + 10. If b = 18, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 20 to o, which gives o = r + 22.\n2. Substitute r = y + 7 to o, which gives o = y + 29.\n3. Substitute y = d + 11 to o, which gives o = d + 40.\n4. Substitute d = c + 10 to o, which gives o = c + 50.\n5. Substitute c = b + 14 to o, which gives o = b + 64.\n6. Substitute b = 18 to o, which gives o = 82.\n\nThus, the final answer is o = \\boxed{82}.",
"index": 15162,
"question": "Consider a system of variables where each variable is defined as follows: j = h + 18; i = r + 20; m = b + 5; r = y + 7; c = b + 14; y = d + 11; f = v + 9; o = i + 2; h = f + 8; b = 18; v = q + 2; q = m + 18; d = c + 10. If b = 18, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 10", "i": "f + 19", "m": "i + 12", "y": "m + 15", "n": "y + 3", "w": "n + 15", "j": "k + 13", "l": "j + 11", "d": "l + 20", "b": "d + 10", "s": "b + 13", "x": "s + 13", "k": 1}, "premises": {"k": 1}, "target": "w"}, "answer": {"steps": [["n", "y + 3", "y + 18"], ["y", "m + 15", "m + 33"], ["m", "i + 12", "i + 45"], ["i", "f + 19", "f + 64"], ["f", "k + 10", "k + 74"], ["k", 1, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"k": 1}, "is_reverse": true}} | 15,163 | 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 = m + 15; f = k + 10; m = i + 12; k = 1; l = j + 11; s = b + 13; w = n + 15; b = d + 10; n = y + 3; i = f + 19; x = s + 13; j = k + 13; d = l + 20. If k = 1, what is the resulting value of w?",
"role": "u... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 3 to w, which gives w = y + 18.\n2. Substitute y = m + 15 to w, which gives w = m + 33.\n3. Substitute m = i + 12 to w, which gives w = i + 45.\n4. Substitute i = f + 19 to w, which gives w = f + 64.\n5. Substitute f = k + 10 to w, which gives w = k + 74.\n6. Substitute k = 1 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 15163,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = m + 15; f = k + 10; m = i + 12; k = 1; l = j + 11; s = b + 13; w = n + 15; b = d + 10; n = y + 3; i = f + 19; x = s + 13; j = k + 13; d = l + 20. If k = 1, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 4", "g": "s + 12", "c": "g + 9", "r": "c + 17", "z": "r + 18", "o": "z + 5", "a": "j + 4", "l": "a + 13", "q": "l + 5", "i": "q + 11", "w": "i + 18", "k": "w + 15", "j": 19}, "premises": {"j": 19}, "target": "o"}, "answer": {"steps": [["z", "r + 18", "r + 23"], ["r", "c + 17", "c + 40"], ["c", "g + 9", "g + 49"], ["g", "s + 12", "s + 61"], ["s", "j + 4", "j + 65"], ["j", 19, "84"]], "target_var_name": "o", "target_value": 84, "value_dict": {"j": 19}, "is_reverse": true}} | 15,164 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = g + 9; z = r + 18; s = j + 4; q = l + 5; l = a + 13; a = j + 4; o = z + 5; k = w + 15; w = i + 18; r = c + 17; i = q + 11; j = 19; g = s + 12. Given that j = 19, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 18 to o, which gives o = r + 23.\n2. Substitute r = c + 17 to o, which gives o = c + 40.\n3. Substitute c = g + 9 to o, which gives o = g + 49.\n4. Substitute g = s + 12 to o, which gives o = s + 61.\n5. Substitute s = j + 4 to o, which gives o = j + 65.\n6. Substitute j = 19 to o, which gives o = 84.\n\nThus, the final answer is o = \\boxed{84}.",
"index": 15164,
"question": "Suppose a collection of variables is related by the following definitions: c = g + 9; z = r + 18; s = j + 4; q = l + 5; l = a + 13; a = j + 4; o = z + 5; k = w + 15; w = i + 18; r = c + 17; i = q + 11; j = 19; g = s + 12. Given that j = 19, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 12", "s": "j + 20", "p": "s + 6", "i": "p + 19", "c": "i + 20", "l": "c + 3", "f": "h + 14", "v": "f + 6", "d": "v + 11", "b": "d + 7", "z": "b + 17", "o": "z + 3", "h": 15}, "premises": {"h": 15}, "target": "l"}, "answer": {"steps": [["c", "i + 20", "i + 23"], ["i", "p + 19", "p + 42"], ["p", "s + 6", "s + 48"], ["s", "j + 20", "j + 68"], ["j", "h + 12", "h + 80"], ["h", 15, "95"]], "target_var_name": "l", "target_value": 95, "value_dict": {"h": 15}, "is_reverse": true}} | 15,165 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = 15; b = d + 7; z = b + 17; o = z + 3; s = j + 20; l = c + 3; v = f + 6; f = h + 14; p = s + 6; i = p + 19; c = i + 20; d = v + 11; j = h + 12. Given that h = 15, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 20 to l, which gives l = i + 23.\n2. Substitute i = p + 19 to l, which gives l = p + 42.\n3. Substitute p = s + 6 to l, which gives l = s + 48.\n4. Substitute s = j + 20 to l, which gives l = j + 68.\n5. Substitute j = h + 12 to l, which gives l = h + 80.\n6. Substitute h = 15 to l, which gives l = 95.\n\nThus, the final answer is l = \\boxed{95}.",
"index": 15165,
"question": "Suppose a collection of variables is related by the following definitions: h = 15; b = d + 7; z = b + 17; o = z + 3; s = j + 20; l = c + 3; v = f + 6; f = h + 14; p = s + 6; i = p + 19; c = i + 20; d = v + 11; j = h + 12. Given that h = 15, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"a": "l + 6", "f": "a + 12", "h": "f + 20", "k": "h + 15", "x": "k + 5", "n": "x + 1", "y": "l + 10", "u": "y + 8", "b": "u + 7", "w": "b + 12", "s": "w + 12", "m": "s + 19", "l": 9}, "premises": {"l": 9}, "target": "n"}, "answer": {"steps": [["x", "k + 5", "k + 6"], ["k", "h + 15", "h + 21"], ["h", "f + 20", "f + 41"], ["f", "a + 12", "a + 53"], ["a", "l + 6", "l + 59"], ["l", 9, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"l": 9}, "is_reverse": true}} | 15,166 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = 9; u = y + 8; n = x + 1; k = h + 15; b = u + 7; y = l + 10; f = a + 12; x = k + 5; s = w + 12; w = b + 12; h = f + 20; m = s + 19; a = l + 6. If l = 9, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 5 to n, which gives n = k + 6.\n2. Substitute k = h + 15 to n, which gives n = h + 21.\n3. Substitute h = f + 20 to n, which gives n = f + 41.\n4. Substitute f = a + 12 to n, which gives n = a + 53.\n5. Substitute a = l + 6 to n, which gives n = l + 59.\n6. Substitute l = 9 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 15166,
"question": "Consider a system of variables where each variable is defined as follows: l = 9; u = y + 8; n = x + 1; k = h + 15; b = u + 7; y = l + 10; f = a + 12; x = k + 5; s = w + 12; w = b + 12; h = f + 20; m = s + 19; a = l + 6. If l = 9, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 14", "d": "x + 12", "b": "d + 17", "o": "b + 19", "w": "o + 20", "u": "w + 8", "c": "k + 5", "e": "c + 4", "f": "e + 4", "n": "f + 16", "q": "n + 3", "r": "q + 9", "k": 4}, "premises": {"k": 4}, "target": "u"}, "answer": {"steps": [["w", "o + 20", "o + 28"], ["o", "b + 19", "b + 47"], ["b", "d + 17", "d + 64"], ["d", "x + 12", "x + 76"], ["x", "k + 14", "k + 90"], ["k", 4, "94"]], "target_var_name": "u", "target_value": 94, "value_dict": {"k": 4}, "is_reverse": true}} | 15,167 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = o + 20; q = n + 3; f = e + 4; b = d + 17; x = k + 14; k = 4; d = x + 12; n = f + 16; u = w + 8; e = c + 4; r = q + 9; c = k + 5; o = b + 19. If k = 4, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 20 to u, which gives u = o + 28.\n2. Substitute o = b + 19 to u, which gives u = b + 47.\n3. Substitute b = d + 17 to u, which gives u = d + 64.\n4. Substitute d = x + 12 to u, which gives u = x + 76.\n5. Substitute x = k + 14 to u, which gives u = k + 90.\n6. Substitute k = 4 to u, which gives u = 94.\n\nThus, the final answer is u = \\boxed{94}.",
"index": 15167,
"question": "Consider a system of variables where each variable is defined as follows: w = o + 20; q = n + 3; f = e + 4; b = d + 17; x = k + 14; k = 4; d = x + 12; n = f + 16; u = w + 8; e = c + 4; r = q + 9; c = k + 5; o = b + 19. If k = 4, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 9", "a": "l + 16", "w": "a + 10", "t": "w + 2", "r": "t + 7", "g": "r + 2", "z": "h + 2", "x": "z + 20", "c": "x + 13", "e": "c + 12", "k": "e + 8", "s": "k + 2", "h": 13}, "premises": {"h": 13}, "target": "g"}, "answer": {"steps": [["r", "t + 7", "t + 9"], ["t", "w + 2", "w + 11"], ["w", "a + 10", "a + 21"], ["a", "l + 16", "l + 37"], ["l", "h + 9", "h + 46"], ["h", 13, "59"]], "target_var_name": "g", "target_value": 59, "value_dict": {"h": 13}, "is_reverse": true}} | 15,168 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = l + 16; x = z + 20; e = c + 12; t = w + 2; h = 13; k = e + 8; s = k + 2; z = h + 2; c = x + 13; g = r + 2; r = t + 7; w = a + 10; l = h + 9. Given that h = 13, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 7 to g, which gives g = t + 9.\n2. Substitute t = w + 2 to g, which gives g = w + 11.\n3. Substitute w = a + 10 to g, which gives g = a + 21.\n4. Substitute a = l + 16 to g, which gives g = l + 37.\n5. Substitute l = h + 9 to g, which gives g = h + 46.\n6. Substitute h = 13 to g, which gives g = 59.\n\nThus, the final answer is g = \\boxed{59}.",
"index": 15168,
"question": "Suppose a collection of variables is related by the following definitions: a = l + 16; x = z + 20; e = c + 12; t = w + 2; h = 13; k = e + 8; s = k + 2; z = h + 2; c = x + 13; g = r + 2; r = t + 7; w = a + 10; l = h + 9. Given that h = 13, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 2", "w": "y + 19", "f": "w + 15", "e": "f + 10", "o": "e + 4", "s": "o + 10", "v": "m + 5", "l": "v + 15", "k": "l + 15", "j": "k + 5", "h": "j + 13", "u": "h + 10", "m": 10}, "premises": {"m": 10}, "target": "s"}, "answer": {"steps": [["o", "e + 4", "e + 14"], ["e", "f + 10", "f + 24"], ["f", "w + 15", "w + 39"], ["w", "y + 19", "y + 58"], ["y", "m + 2", "m + 60"], ["m", 10, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"m": 10}, "is_reverse": true}} | 15,169 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = k + 5; s = o + 10; e = f + 10; w = y + 19; f = w + 15; u = h + 10; k = l + 15; m = 10; o = e + 4; y = m + 2; h = j + 13; v = m + 5; l = v + 15. Given that m = 10, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 4 to s, which gives s = e + 14.\n2. Substitute e = f + 10 to s, which gives s = f + 24.\n3. Substitute f = w + 15 to s, which gives s = w + 39.\n4. Substitute w = y + 19 to s, which gives s = y + 58.\n5. Substitute y = m + 2 to s, which gives s = m + 60.\n6. Substitute m = 10 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 15169,
"question": "Suppose a collection of variables is related by the following definitions: j = k + 5; s = o + 10; e = f + 10; w = y + 19; f = w + 15; u = h + 10; k = l + 15; m = 10; o = e + 4; y = m + 2; h = j + 13; v = m + 5; l = v + 15. Given that m = 10, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"z": "p + 18", "t": "z + 15", "l": "t + 13", "v": "l + 4", "n": "v + 8", "h": "n + 2", "c": "p + 15", "r": "c + 18", "g": "r + 4", "k": "g + 19", "m": "k + 13", "f": "m + 16", "p": 6}, "premises": {"p": 6}, "target": "h"}, "answer": {"steps": [["n", "v + 8", "v + 10"], ["v", "l + 4", "l + 14"], ["l", "t + 13", "t + 27"], ["t", "z + 15", "z + 42"], ["z", "p + 18", "p + 60"], ["p", 6, "66"]], "target_var_name": "h", "target_value": 66, "value_dict": {"p": 6}, "is_reverse": true}} | 15,170 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 15; l = t + 13; p = 6; z = p + 18; n = v + 8; m = k + 13; h = n + 2; f = m + 16; v = l + 4; k = g + 19; g = r + 4; r = c + 18; c = p + 15. If p = 6, what is the resulting value of h?",
"role": "user... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 8 to h, which gives h = v + 10.\n2. Substitute v = l + 4 to h, which gives h = l + 14.\n3. Substitute l = t + 13 to h, which gives h = t + 27.\n4. Substitute t = z + 15 to h, which gives h = z + 42.\n5. Substitute z = p + 18 to h, which gives h = p + 60.\n6. Substitute p = 6 to h, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 15170,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 15; l = t + 13; p = 6; z = p + 18; n = v + 8; m = k + 13; h = n + 2; f = m + 16; v = l + 4; k = g + 19; g = r + 4; r = c + 18; c = p + 15. If p = 6, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"p": "f + 2", "g": "p + 3", "o": "g + 1", "x": "o + 1", "w": "x + 8", "t": "w + 8", "i": "f + 13", "u": "i + 14", "h": "u + 5", "d": "h + 20", "y": "d + 10", "k": "y + 18", "f": 18}, "premises": {"f": 18}, "target": "t"}, "answer": {"steps": [["w", "x + 8", "x + 16"], ["x", "o + 1", "o + 17"], ["o", "g + 1", "g + 18"], ["g", "p + 3", "p + 21"], ["p", "f + 2", "f + 23"], ["f", 18, "41"]], "target_var_name": "t", "target_value": 41, "value_dict": {"f": 18}, "is_reverse": true}} | 15,171 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = f + 2; g = p + 3; d = h + 20; y = d + 10; u = i + 14; x = o + 1; o = g + 1; i = f + 13; f = 18; h = u + 5; w = x + 8; t = w + 8; k = y + 18. If f = 18, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 8 to t, which gives t = x + 16.\n2. Substitute x = o + 1 to t, which gives t = o + 17.\n3. Substitute o = g + 1 to t, which gives t = g + 18.\n4. Substitute g = p + 3 to t, which gives t = p + 21.\n5. Substitute p = f + 2 to t, which gives t = f + 23.\n6. Substitute f = 18 to t, which gives t = 41.\n\nThus, the final answer is t = \\boxed{41}.",
"index": 15171,
"question": "Consider a system of variables where each variable is defined as follows: p = f + 2; g = p + 3; d = h + 20; y = d + 10; u = i + 14; x = o + 1; o = g + 1; i = f + 13; f = 18; h = u + 5; w = x + 8; t = w + 8; k = y + 18. If f = 18, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 8", "q": "g + 19", "o": "q + 16", "n": "o + 20", "s": "n + 13", "z": "s + 12", "l": "i + 7", "p": "l + 20", "c": "p + 3", "w": "c + 7", "b": "w + 2", "a": "b + 5", "i": 19}, "premises": {"i": 19}, "target": "z"}, "answer": {"steps": [["s", "n + 13", "n + 25"], ["n", "o + 20", "o + 45"], ["o", "q + 16", "q + 61"], ["q", "g + 19", "g + 80"], ["g", "i + 8", "i + 88"], ["i", 19, "107"]], "target_var_name": "z", "target_value": 107, "value_dict": {"i": 19}, "is_reverse": true}} | 15,172 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = i + 8; i = 19; c = p + 3; a = b + 5; n = o + 20; q = g + 19; s = n + 13; o = q + 16; z = s + 12; w = c + 7; b = w + 2; l = i + 7; p = l + 20. Given that i = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = n + 13 to z, which gives z = n + 25.\n2. Substitute n = o + 20 to z, which gives z = o + 45.\n3. Substitute o = q + 16 to z, which gives z = q + 61.\n4. Substitute q = g + 19 to z, which gives z = g + 80.\n5. Substitute g = i + 8 to z, which gives z = i + 88.\n6. Substitute i = 19 to z, which gives z = 107.\n\nThus, the final answer is z = \\boxed{107}.",
"index": 15172,
"question": "Suppose a collection of variables is related by the following definitions: g = i + 8; i = 19; c = p + 3; a = b + 5; n = o + 20; q = g + 19; s = n + 13; o = q + 16; z = s + 12; w = c + 7; b = w + 2; l = i + 7; p = l + 20. Given that i = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 15", "r": "s + 3", "h": "r + 10", "f": "h + 18", "k": "f + 12", "t": "k + 11", "d": "p + 17", "u": "d + 9", "y": "u + 6", "w": "y + 13", "c": "w + 9", "j": "c + 10", "p": 20}, "premises": {"p": 20}, "target": "t"}, "answer": {"steps": [["k", "f + 12", "f + 23"], ["f", "h + 18", "h + 41"], ["h", "r + 10", "r + 51"], ["r", "s + 3", "s + 54"], ["s", "p + 15", "p + 69"], ["p", 20, "89"]], "target_var_name": "t", "target_value": 89, "value_dict": {"p": 20}, "is_reverse": true}} | 15,173 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = 20; d = p + 17; h = r + 10; f = h + 18; c = w + 9; s = p + 15; y = u + 6; j = c + 10; w = y + 13; k = f + 12; t = k + 11; r = s + 3; u = d + 9. If p = 20, determine 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 k = f + 12 to t, which gives t = f + 23.\n2. Substitute f = h + 18 to t, which gives t = h + 41.\n3. Substitute h = r + 10 to t, which gives t = r + 51.\n4. Substitute r = s + 3 to t, which gives t = s + 54.\n5. Substitute s = p + 15 to t, which gives t = p + 69.\n6. Substitute p = 20 to t, which gives t = 89.\n\nThus, the final answer is t = \\boxed{89}.",
"index": 15173,
"question": "Consider a system of variables where each variable is defined as follows: p = 20; d = p + 17; h = r + 10; f = h + 18; c = w + 9; s = p + 15; y = u + 6; j = c + 10; w = y + 13; k = f + 12; t = k + 11; r = s + 3; u = d + 9. If p = 20, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 18", "r": "l + 11", "z": "r + 2", "y": "z + 4", "s": "y + 17", "h": "s + 12", "x": "f + 5", "q": "x + 11", "k": "q + 15", "w": "k + 9", "n": "w + 13", "v": "n + 8", "f": 10}, "premises": {"f": 10}, "target": "h"}, "answer": {"steps": [["s", "y + 17", "y + 29"], ["y", "z + 4", "z + 33"], ["z", "r + 2", "r + 35"], ["r", "l + 11", "l + 46"], ["l", "f + 18", "f + 64"], ["f", 10, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"f": 10}, "is_reverse": true}} | 15,174 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = x + 11; v = n + 8; x = f + 5; h = s + 12; f = 10; y = z + 4; z = r + 2; r = l + 11; l = f + 18; w = k + 9; s = y + 17; n = w + 13; k = q + 15. If f = 10, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 17 to h, which gives h = y + 29.\n2. Substitute y = z + 4 to h, which gives h = z + 33.\n3. Substitute z = r + 2 to h, which gives h = r + 35.\n4. Substitute r = l + 11 to h, which gives h = l + 46.\n5. Substitute l = f + 18 to h, which gives h = f + 64.\n6. Substitute f = 10 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 15174,
"question": "Consider a system of variables where each variable is defined as follows: q = x + 11; v = n + 8; x = f + 5; h = s + 12; f = 10; y = z + 4; z = r + 2; r = l + 11; l = f + 18; w = k + 9; s = y + 17; n = w + 13; k = q + 15. If f = 10, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 17", "k": "b + 17", "h": "k + 18", "d": "h + 6", "y": "d + 20", "j": "y + 5", "r": "s + 19", "u": "r + 1", "p": "u + 17", "w": "p + 8", "g": "w + 4", "e": "g + 2", "s": 15}, "premises": {"s": 15}, "target": "j"}, "answer": {"steps": [["y", "d + 20", "d + 25"], ["d", "h + 6", "h + 31"], ["h", "k + 18", "k + 49"], ["k", "b + 17", "b + 66"], ["b", "s + 17", "s + 83"], ["s", 15, "98"]], "target_var_name": "j", "target_value": 98, "value_dict": {"s": 15}, "is_reverse": true}} | 15,175 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = w + 4; b = s + 17; k = b + 17; w = p + 8; u = r + 1; j = y + 5; s = 15; h = k + 18; y = d + 20; p = u + 17; d = h + 6; r = s + 19; e = g + 2. If s = 15, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 20 to j, which gives j = d + 25.\n2. Substitute d = h + 6 to j, which gives j = h + 31.\n3. Substitute h = k + 18 to j, which gives j = k + 49.\n4. Substitute k = b + 17 to j, which gives j = b + 66.\n5. Substitute b = s + 17 to j, which gives j = s + 83.\n6. Substitute s = 15 to j, which gives j = 98.\n\nThus, the final answer is j = \\boxed{98}.",
"index": 15175,
"question": "Consider a system of variables where each variable is defined as follows: g = w + 4; b = s + 17; k = b + 17; w = p + 8; u = r + 1; j = y + 5; s = 15; h = k + 18; y = d + 20; p = u + 17; d = h + 6; r = s + 19; e = g + 2. If s = 15, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"n": "p + 13", "i": "n + 18", "q": "i + 1", "m": "q + 1", "r": "m + 19", "f": "r + 8", "l": "p + 1", "k": "l + 12", "o": "k + 16", "b": "o + 14", "e": "b + 1", "a": "e + 10", "p": 3}, "premises": {"p": 3}, "target": "f"}, "answer": {"steps": [["r", "m + 19", "m + 27"], ["m", "q + 1", "q + 28"], ["q", "i + 1", "i + 29"], ["i", "n + 18", "n + 47"], ["n", "p + 13", "p + 60"], ["p", 3, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"p": 3}, "is_reverse": true}} | 15,176 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 1; n = p + 13; m = q + 1; b = o + 14; l = p + 1; i = n + 18; p = 3; a = e + 10; f = r + 8; r = m + 19; o = k + 16; e = b + 1; k = l + 12. If p = 3, what is the resulting value of f?",
"role": "user"... | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = m + 19 to f, which gives f = m + 27.\n2. Substitute m = q + 1 to f, which gives f = q + 28.\n3. Substitute q = i + 1 to f, which gives f = i + 29.\n4. Substitute i = n + 18 to f, which gives f = n + 47.\n5. Substitute n = p + 13 to f, which gives f = p + 60.\n6. Substitute p = 3 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 15176,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 1; n = p + 13; m = q + 1; b = o + 14; l = p + 1; i = n + 18; p = 3; a = e + 10; f = r + 8; r = m + 19; o = k + 16; e = b + 1; k = l + 12. If p = 3, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"f": "u + 1", "d": "f + 19", "j": "d + 11", "x": "j + 20", "w": "x + 16", "a": "w + 7", "r": "u + 20", "l": "r + 12", "z": "l + 14", "c": "z + 10", "p": "c + 12", "s": "p + 16", "u": 18}, "premises": {"u": 18}, "target": "a"}, "answer": {"steps": [["w", "x + 16", "x + 23"], ["x", "j + 20", "j + 43"], ["j", "d + 11", "d + 54"], ["d", "f + 19", "f + 73"], ["f", "u + 1", "u + 74"], ["u", 18, "92"]], "target_var_name": "a", "target_value": 92, "value_dict": {"u": 18}, "is_reverse": true}} | 15,177 | 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 = f + 19; s = p + 16; w = x + 16; a = w + 7; j = d + 11; l = r + 12; x = j + 20; u = 18; p = c + 12; r = u + 20; c = z + 10; f = u + 1; z = l + 14. If u = 18, what is the resulting value of a?",
"role": "... | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 16 to a, which gives a = x + 23.\n2. Substitute x = j + 20 to a, which gives a = j + 43.\n3. Substitute j = d + 11 to a, which gives a = d + 54.\n4. Substitute d = f + 19 to a, which gives a = f + 73.\n5. Substitute f = u + 1 to a, which gives a = u + 74.\n6. Substitute u = 18 to a, which gives a = 92.\n\nThus, the final answer is a = \\boxed{92}.",
"index": 15177,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = f + 19; s = p + 16; w = x + 16; a = w + 7; j = d + 11; l = r + 12; x = j + 20; u = 18; p = c + 12; r = u + 20; c = z + 10; f = u + 1; z = l + 14. If u = 18, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 11", "z": "c + 2", "j": "z + 20", "f": "j + 10", "h": "f + 2", "l": "h + 11", "k": "r + 7", "x": "k + 14", "y": "x + 7", "u": "y + 1", "i": "u + 10", "s": "i + 14", "r": 2}, "premises": {"r": 2}, "target": "l"}, "answer": {"steps": [["h", "f + 2", "f + 13"], ["f", "j + 10", "j + 23"], ["j", "z + 20", "z + 43"], ["z", "c + 2", "c + 45"], ["c", "r + 11", "r + 56"], ["r", 2, "58"]], "target_var_name": "l", "target_value": 58, "value_dict": {"r": 2}, "is_reverse": true}} | 15,178 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = r + 7; x = k + 14; y = x + 7; j = z + 20; s = i + 14; c = r + 11; z = c + 2; h = f + 2; l = h + 11; r = 2; u = y + 1; f = j + 10; i = u + 10. If r = 2, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 2 to l, which gives l = f + 13.\n2. Substitute f = j + 10 to l, which gives l = j + 23.\n3. Substitute j = z + 20 to l, which gives l = z + 43.\n4. Substitute z = c + 2 to l, which gives l = c + 45.\n5. Substitute c = r + 11 to l, which gives l = r + 56.\n6. Substitute r = 2 to l, which gives l = 58.\n\nThus, the final answer is l = \\boxed{58}.",
"index": 15178,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 7; x = k + 14; y = x + 7; j = z + 20; s = i + 14; c = r + 11; z = c + 2; h = f + 2; l = h + 11; r = 2; u = y + 1; f = j + 10; i = u + 10. If r = 2, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 11", "s": "n + 13", "g": "s + 20", "k": "g + 9", "l": "k + 5", "i": "l + 19", "a": "q + 9", "f": "a + 10", "u": "f + 4", "b": "u + 1", "p": "b + 5", "e": "p + 1", "q": 18}, "premises": {"q": 18}, "target": "i"}, "answer": {"steps": [["l", "k + 5", "k + 24"], ["k", "g + 9", "g + 33"], ["g", "s + 20", "s + 53"], ["s", "n + 13", "n + 66"], ["n", "q + 11", "q + 77"], ["q", 18, "95"]], "target_var_name": "i", "target_value": 95, "value_dict": {"q": 18}, "is_reverse": true}} | 15,179 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = a + 10; b = u + 1; l = k + 5; a = q + 9; q = 18; s = n + 13; u = f + 4; n = q + 11; p = b + 5; g = s + 20; i = l + 19; k = g + 9; e = p + 1. If q = 18, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 5 to i, which gives i = k + 24.\n2. Substitute k = g + 9 to i, which gives i = g + 33.\n3. Substitute g = s + 20 to i, which gives i = s + 53.\n4. Substitute s = n + 13 to i, which gives i = n + 66.\n5. Substitute n = q + 11 to i, which gives i = q + 77.\n6. Substitute q = 18 to i, which gives i = 95.\n\nThus, the final answer is i = \\boxed{95}.",
"index": 15179,
"question": "Consider a system of variables where each variable is defined as follows: f = a + 10; b = u + 1; l = k + 5; a = q + 9; q = 18; s = n + 13; u = f + 4; n = q + 11; p = b + 5; g = s + 20; i = l + 19; k = g + 9; e = p + 1. If q = 18, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 3", "y": "o + 12", "i": "y + 13", "z": "i + 11", "l": "z + 1", "w": "l + 6", "g": "x + 1", "u": "g + 13", "s": "u + 4", "t": "s + 17", "a": "t + 13", "q": "a + 2", "x": 11}, "premises": {"x": 11}, "target": "w"}, "answer": {"steps": [["l", "z + 1", "z + 7"], ["z", "i + 11", "i + 18"], ["i", "y + 13", "y + 31"], ["y", "o + 12", "o + 43"], ["o", "x + 3", "x + 46"], ["x", 11, "57"]], "target_var_name": "w", "target_value": 57, "value_dict": {"x": 11}, "is_reverse": true}} | 15,180 | 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 = y + 13; y = o + 12; x = 11; q = a + 2; g = x + 1; l = z + 1; a = t + 13; w = l + 6; o = x + 3; s = u + 4; z = i + 11; t = s + 17; u = g + 13. If x = 11, what is the resulting value of w?",
"role": "user... | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 1 to w, which gives w = z + 7.\n2. Substitute z = i + 11 to w, which gives w = i + 18.\n3. Substitute i = y + 13 to w, which gives w = y + 31.\n4. Substitute y = o + 12 to w, which gives w = o + 43.\n5. Substitute o = x + 3 to w, which gives w = x + 46.\n6. Substitute x = 11 to w, which gives w = 57.\n\nThus, the final answer is w = \\boxed{57}.",
"index": 15180,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 13; y = o + 12; x = 11; q = a + 2; g = x + 1; l = z + 1; a = t + 13; w = l + 6; o = x + 3; s = u + 4; z = i + 11; t = s + 17; u = g + 13. If x = 11, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 1", "d": "w + 12", "y": "d + 9", "j": "y + 11", "m": "j + 12", "h": "m + 2", "c": "s + 20", "o": "c + 15", "u": "o + 4", "l": "u + 16", "x": "l + 10", "k": "x + 18", "s": 3}, "premises": {"s": 3}, "target": "h"}, "answer": {"steps": [["m", "j + 12", "j + 14"], ["j", "y + 11", "y + 25"], ["y", "d + 9", "d + 34"], ["d", "w + 12", "w + 46"], ["w", "s + 1", "s + 47"], ["s", 3, "50"]], "target_var_name": "h", "target_value": 50, "value_dict": {"s": 3}, "is_reverse": true}} | 15,181 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = s + 1; h = m + 2; d = w + 12; s = 3; j = y + 11; l = u + 16; m = j + 12; x = l + 10; y = d + 9; k = x + 18; c = s + 20; o = c + 15; u = o + 4. Given that s = 3, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 12 to h, which gives h = j + 14.\n2. Substitute j = y + 11 to h, which gives h = y + 25.\n3. Substitute y = d + 9 to h, which gives h = d + 34.\n4. Substitute d = w + 12 to h, which gives h = w + 46.\n5. Substitute w = s + 1 to h, which gives h = s + 47.\n6. Substitute s = 3 to h, which gives h = 50.\n\nThus, the final answer is h = \\boxed{50}.",
"index": 15181,
"question": "Suppose a collection of variables is related by the following definitions: w = s + 1; h = m + 2; d = w + 12; s = 3; j = y + 11; l = u + 16; m = j + 12; x = l + 10; y = d + 9; k = x + 18; c = s + 20; o = c + 15; u = o + 4. Given that s = 3, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 9", "k": "t + 20", "s": "k + 16", "a": "s + 17", "e": "a + 15", "n": "e + 7", "f": "c + 3", "w": "f + 20", "i": "w + 13", "z": "i + 18", "p": "z + 18", "h": "p + 20", "c": 8}, "premises": {"c": 8}, "target": "n"}, "answer": {"steps": [["e", "a + 15", "a + 22"], ["a", "s + 17", "s + 39"], ["s", "k + 16", "k + 55"], ["k", "t + 20", "t + 75"], ["t", "c + 9", "c + 84"], ["c", 8, "92"]], "target_var_name": "n", "target_value": 92, "value_dict": {"c": 8}, "is_reverse": true}} | 15,182 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = z + 18; c = 8; h = p + 20; t = c + 9; k = t + 20; n = e + 7; i = w + 13; a = s + 17; z = i + 18; s = k + 16; f = c + 3; e = a + 15; w = f + 20. Given that c = 8, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 15 to n, which gives n = a + 22.\n2. Substitute a = s + 17 to n, which gives n = s + 39.\n3. Substitute s = k + 16 to n, which gives n = k + 55.\n4. Substitute k = t + 20 to n, which gives n = t + 75.\n5. Substitute t = c + 9 to n, which gives n = c + 84.\n6. Substitute c = 8 to n, which gives n = 92.\n\nThus, the final answer is n = \\boxed{92}.",
"index": 15182,
"question": "Suppose a collection of variables is related by the following definitions: p = z + 18; c = 8; h = p + 20; t = c + 9; k = t + 20; n = e + 7; i = w + 13; a = s + 17; z = i + 18; s = k + 16; f = c + 3; e = a + 15; w = f + 20. Given that c = 8, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 9", "d": "h + 13", "e": "d + 16", "q": "e + 6", "k": "q + 16", "g": "k + 13", "v": "y + 20", "p": "v + 5", "o": "p + 8", "t": "o + 4", "j": "t + 12", "x": "j + 15", "y": 3}, "premises": {"y": 3}, "target": "g"}, "answer": {"steps": [["k", "q + 16", "q + 29"], ["q", "e + 6", "e + 35"], ["e", "d + 16", "d + 51"], ["d", "h + 13", "h + 64"], ["h", "y + 9", "y + 73"], ["y", 3, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"y": 3}, "is_reverse": true}} | 15,183 | 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 = p + 8; q = e + 6; j = t + 12; e = d + 16; y = 3; h = y + 9; p = v + 5; d = h + 13; t = o + 4; k = q + 16; x = j + 15; v = y + 20; g = k + 13. If y = 3, what is the resulting value of g?",
"role": "user"... | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 16 to g, which gives g = q + 29.\n2. Substitute q = e + 6 to g, which gives g = e + 35.\n3. Substitute e = d + 16 to g, which gives g = d + 51.\n4. Substitute d = h + 13 to g, which gives g = h + 64.\n5. Substitute h = y + 9 to g, which gives g = y + 73.\n6. Substitute y = 3 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 15183,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 8; q = e + 6; j = t + 12; e = d + 16; y = 3; h = y + 9; p = v + 5; d = h + 13; t = o + 4; k = q + 16; x = j + 15; v = y + 20; g = k + 13. If y = 3, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 20", "q": "z + 15", "c": "q + 8", "n": "c + 14", "v": "n + 14", "i": "v + 15", "r": "d + 19", "y": "r + 15", "k": "y + 15", "w": "k + 11", "e": "w + 7", "x": "e + 5", "d": 13}, "premises": {"d": 13}, "target": "i"}, "answer": {"steps": [["v", "n + 14", "n + 29"], ["n", "c + 14", "c + 43"], ["c", "q + 8", "q + 51"], ["q", "z + 15", "z + 66"], ["z", "d + 20", "d + 86"], ["d", 13, "99"]], "target_var_name": "i", "target_value": 99, "value_dict": {"d": 13}, "is_reverse": true}} | 15,184 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = r + 15; d = 13; e = w + 7; i = v + 15; x = e + 5; w = k + 11; n = c + 14; z = d + 20; k = y + 15; c = q + 8; q = z + 15; v = n + 14; r = d + 19. If d = 13, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 14 to i, which gives i = n + 29.\n2. Substitute n = c + 14 to i, which gives i = c + 43.\n3. Substitute c = q + 8 to i, which gives i = q + 51.\n4. Substitute q = z + 15 to i, which gives i = z + 66.\n5. Substitute z = d + 20 to i, which gives i = d + 86.\n6. Substitute d = 13 to i, which gives i = 99.\n\nThus, the final answer is i = \\boxed{99}.",
"index": 15184,
"question": "Consider a system of variables where each variable is defined as follows: y = r + 15; d = 13; e = w + 7; i = v + 15; x = e + 5; w = k + 11; n = c + 14; z = d + 20; k = y + 15; c = q + 8; q = z + 15; v = n + 14; r = d + 19. If d = 13, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"t": "e + 14", "f": "t + 9", "x": "f + 19", "w": "x + 20", "m": "w + 5", "d": "m + 1", "y": "e + 5", "k": "y + 14", "s": "k + 3", "v": "s + 7", "r": "v + 7", "j": "r + 17", "e": 6}, "premises": {"e": 6}, "target": "d"}, "answer": {"steps": [["m", "w + 5", "w + 6"], ["w", "x + 20", "x + 26"], ["x", "f + 19", "f + 45"], ["f", "t + 9", "t + 54"], ["t", "e + 14", "e + 68"], ["e", 6, "74"]], "target_var_name": "d", "target_value": 74, "value_dict": {"e": 6}, "is_reverse": true}} | 15,185 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 17; e = 6; k = y + 14; m = w + 5; f = t + 9; w = x + 20; v = s + 7; x = f + 19; y = e + 5; s = k + 3; d = m + 1; t = e + 14; r = v + 7. If e = 6, what is the resulting value of d?",
"role": "user"
... | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 5 to d, which gives d = w + 6.\n2. Substitute w = x + 20 to d, which gives d = x + 26.\n3. Substitute x = f + 19 to d, which gives d = f + 45.\n4. Substitute f = t + 9 to d, which gives d = t + 54.\n5. Substitute t = e + 14 to d, which gives d = e + 68.\n6. Substitute e = 6 to d, which gives d = 74.\n\nThus, the final answer is d = \\boxed{74}.",
"index": 15185,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 17; e = 6; k = y + 14; m = w + 5; f = t + 9; w = x + 20; v = s + 7; x = f + 19; y = e + 5; s = k + 3; d = m + 1; t = e + 14; r = v + 7. If e = 6, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 2", "r": "t + 5", "n": "r + 7", "y": "n + 2", "f": "y + 8", "k": "f + 4", "i": "v + 14", "q": "i + 4", "u": "q + 12", "c": "u + 10", "a": "c + 5", "j": "a + 19", "v": 12}, "premises": {"v": 12}, "target": "k"}, "answer": {"steps": [["f", "y + 8", "y + 12"], ["y", "n + 2", "n + 14"], ["n", "r + 7", "r + 21"], ["r", "t + 5", "t + 26"], ["t", "v + 2", "v + 28"], ["v", 12, "40"]], "target_var_name": "k", "target_value": 40, "value_dict": {"v": 12}, "is_reverse": true}} | 15,186 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = f + 4; u = q + 12; n = r + 7; t = v + 2; v = 12; y = n + 2; r = t + 5; f = y + 8; j = a + 19; i = v + 14; q = i + 4; a = c + 5; c = u + 10. Given that v = 12, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 8 to k, which gives k = y + 12.\n2. Substitute y = n + 2 to k, which gives k = n + 14.\n3. Substitute n = r + 7 to k, which gives k = r + 21.\n4. Substitute r = t + 5 to k, which gives k = t + 26.\n5. Substitute t = v + 2 to k, which gives k = v + 28.\n6. Substitute v = 12 to k, which gives k = 40.\n\nThus, the final answer is k = \\boxed{40}.",
"index": 15186,
"question": "Suppose a collection of variables is related by the following definitions: k = f + 4; u = q + 12; n = r + 7; t = v + 2; v = 12; y = n + 2; r = t + 5; f = y + 8; j = a + 19; i = v + 14; q = i + 4; a = c + 5; c = u + 10. Given that v = 12, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 12", "q": "m + 9", "v": "q + 11", "t": "v + 2", "b": "t + 3", "x": "b + 8", "l": "e + 11", "o": "l + 9", "n": "o + 12", "r": "n + 5", "g": "r + 9", "j": "g + 2", "e": 6}, "premises": {"e": 6}, "target": "x"}, "answer": {"steps": [["b", "t + 3", "t + 11"], ["t", "v + 2", "v + 13"], ["v", "q + 11", "q + 24"], ["q", "m + 9", "m + 33"], ["m", "e + 12", "e + 45"], ["e", 6, "51"]], "target_var_name": "x", "target_value": 51, "value_dict": {"e": 6}, "is_reverse": true}} | 15,187 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = m + 9; n = o + 12; x = b + 8; b = t + 3; l = e + 11; t = v + 2; r = n + 5; j = g + 2; o = l + 9; v = q + 11; g = r + 9; m = e + 12; e = 6. If e = 6, what is the resulting value of x?",
"role": "user"
... | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 3 to x, which gives x = t + 11.\n2. Substitute t = v + 2 to x, which gives x = v + 13.\n3. Substitute v = q + 11 to x, which gives x = q + 24.\n4. Substitute q = m + 9 to x, which gives x = m + 33.\n5. Substitute m = e + 12 to x, which gives x = e + 45.\n6. Substitute e = 6 to x, which gives x = 51.\n\nThus, the final answer is x = \\boxed{51}.",
"index": 15187,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = m + 9; n = o + 12; x = b + 8; b = t + 3; l = e + 11; t = v + 2; r = n + 5; j = g + 2; o = l + 9; v = q + 11; g = r + 9; m = e + 12; e = 6. If e = 6, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 16", "w": "c + 4", "r": "w + 4", "z": "r + 13", "b": "z + 2", "g": "b + 17", "h": "f + 5", "p": "h + 14", "d": "p + 14", "v": "d + 7", "m": "v + 9", "q": "m + 6", "f": 19}, "premises": {"f": 19}, "target": "g"}, "answer": {"steps": [["b", "z + 2", "z + 19"], ["z", "r + 13", "r + 32"], ["r", "w + 4", "w + 36"], ["w", "c + 4", "c + 40"], ["c", "f + 16", "f + 56"], ["f", 19, "75"]], "target_var_name": "g", "target_value": 75, "value_dict": {"f": 19}, "is_reverse": true}} | 15,188 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = p + 14; p = h + 14; v = d + 7; q = m + 6; w = c + 4; r = w + 4; f = 19; c = f + 16; g = b + 17; m = v + 9; z = r + 13; b = z + 2; h = f + 5. Given that f = 19, 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 b = z + 2 to g, which gives g = z + 19.\n2. Substitute z = r + 13 to g, which gives g = r + 32.\n3. Substitute r = w + 4 to g, which gives g = w + 36.\n4. Substitute w = c + 4 to g, which gives g = c + 40.\n5. Substitute c = f + 16 to g, which gives g = f + 56.\n6. Substitute f = 19 to g, which gives g = 75.\n\nThus, the final answer is g = \\boxed{75}.",
"index": 15188,
"question": "Suppose a collection of variables is related by the following definitions: d = p + 14; p = h + 14; v = d + 7; q = m + 6; w = c + 4; r = w + 4; f = 19; c = f + 16; g = b + 17; m = v + 9; z = r + 13; b = z + 2; h = f + 5. Given that f = 19, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 3", "i": "o + 5", "h": "i + 13", "m": "h + 13", "s": "m + 16", "x": "s + 9", "t": "w + 1", "y": "t + 19", "c": "y + 17", "d": "c + 19", "k": "d + 19", "v": "k + 12", "w": 15}, "premises": {"w": 15}, "target": "x"}, "answer": {"steps": [["s", "m + 16", "m + 25"], ["m", "h + 13", "h + 38"], ["h", "i + 13", "i + 51"], ["i", "o + 5", "o + 56"], ["o", "w + 3", "w + 59"], ["w", 15, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"w": 15}, "is_reverse": true}} | 15,189 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 1; k = d + 19; v = k + 12; i = o + 5; x = s + 9; h = i + 13; c = y + 17; m = h + 13; y = t + 19; d = c + 19; s = m + 16; o = w + 3; w = 15. Given that w = 15, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 16 to x, which gives x = m + 25.\n2. Substitute m = h + 13 to x, which gives x = h + 38.\n3. Substitute h = i + 13 to x, which gives x = i + 51.\n4. Substitute i = o + 5 to x, which gives x = o + 56.\n5. Substitute o = w + 3 to x, which gives x = w + 59.\n6. Substitute w = 15 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 15189,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 1; k = d + 19; v = k + 12; i = o + 5; x = s + 9; h = i + 13; c = y + 17; m = h + 13; y = t + 19; d = c + 19; s = m + 16; o = w + 3; w = 15. Given that w = 15, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 8", "u": "c + 9", "h": "u + 9", "i": "h + 8", "j": "i + 10", "t": "j + 10", "a": "b + 20", "l": "a + 3", "x": "l + 11", "w": "x + 16", "r": "w + 10", "q": "r + 8", "b": 17}, "premises": {"b": 17}, "target": "t"}, "answer": {"steps": [["j", "i + 10", "i + 20"], ["i", "h + 8", "h + 28"], ["h", "u + 9", "u + 37"], ["u", "c + 9", "c + 46"], ["c", "b + 8", "b + 54"], ["b", 17, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"b": 17}, "is_reverse": true}} | 15,190 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = l + 11; h = u + 9; l = a + 3; u = c + 9; b = 17; j = i + 10; w = x + 16; a = b + 20; t = j + 10; q = r + 8; c = b + 8; i = h + 8; r = w + 10. If b = 17, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 10 to t, which gives t = i + 20.\n2. Substitute i = h + 8 to t, which gives t = h + 28.\n3. Substitute h = u + 9 to t, which gives t = u + 37.\n4. Substitute u = c + 9 to t, which gives t = c + 46.\n5. Substitute c = b + 8 to t, which gives t = b + 54.\n6. Substitute b = 17 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 15190,
"question": "Consider a system of variables where each variable is defined as follows: x = l + 11; h = u + 9; l = a + 3; u = c + 9; b = 17; j = i + 10; w = x + 16; a = b + 20; t = j + 10; q = r + 8; c = b + 8; i = h + 8; r = w + 10. If b = 17, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"w": "r + 16", "i": "w + 11", "g": "i + 5", "y": "g + 10", "f": "y + 7", "b": "f + 15", "a": "r + 15", "e": "a + 13", "v": "e + 1", "x": "v + 7", "k": "x + 19", "j": "k + 6", "r": 9}, "premises": {"r": 9}, "target": "b"}, "answer": {"steps": [["f", "y + 7", "y + 22"], ["y", "g + 10", "g + 32"], ["g", "i + 5", "i + 37"], ["i", "w + 11", "w + 48"], ["w", "r + 16", "r + 64"], ["r", 9, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"r": 9}, "is_reverse": true}} | 15,191 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = e + 1; k = x + 19; f = y + 7; x = v + 7; b = f + 15; j = k + 6; a = r + 15; w = r + 16; r = 9; y = g + 10; g = i + 5; e = a + 13; i = w + 11. If r = 9, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 7 to b, which gives b = y + 22.\n2. Substitute y = g + 10 to b, which gives b = g + 32.\n3. Substitute g = i + 5 to b, which gives b = i + 37.\n4. Substitute i = w + 11 to b, which gives b = w + 48.\n5. Substitute w = r + 16 to b, which gives b = r + 64.\n6. Substitute r = 9 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 15191,
"question": "Consider a system of variables where each variable is defined as follows: v = e + 1; k = x + 19; f = y + 7; x = v + 7; b = f + 15; j = k + 6; a = r + 15; w = r + 16; r = 9; y = g + 10; g = i + 5; e = a + 13; i = w + 11. If r = 9, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 20", "w": "k + 12", "t": "w + 20", "s": "t + 15", "g": "s + 8", "a": "g + 16", "d": "r + 1", "p": "d + 3", "l": "p + 12", "z": "l + 19", "v": "z + 20", "h": "v + 15", "r": 2}, "premises": {"r": 2}, "target": "a"}, "answer": {"steps": [["g", "s + 8", "s + 24"], ["s", "t + 15", "t + 39"], ["t", "w + 20", "w + 59"], ["w", "k + 12", "k + 71"], ["k", "r + 20", "r + 91"], ["r", 2, "93"]], "target_var_name": "a", "target_value": 93, "value_dict": {"r": 2}, "is_reverse": true}} | 15,192 | 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 = k + 12; p = d + 3; t = w + 20; d = r + 1; k = r + 20; h = v + 15; v = z + 20; z = l + 19; l = p + 12; g = s + 8; r = 2; a = g + 16; s = t + 15. If r = 2, what is the resulting value of a?",
"role": "use... | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 8 to a, which gives a = s + 24.\n2. Substitute s = t + 15 to a, which gives a = t + 39.\n3. Substitute t = w + 20 to a, which gives a = w + 59.\n4. Substitute w = k + 12 to a, which gives a = k + 71.\n5. Substitute k = r + 20 to a, which gives a = r + 91.\n6. Substitute r = 2 to a, which gives a = 93.\n\nThus, the final answer is a = \\boxed{93}.",
"index": 15192,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 12; p = d + 3; t = w + 20; d = r + 1; k = r + 20; h = v + 15; v = z + 20; z = l + 19; l = p + 12; g = s + 8; r = 2; a = g + 16; s = t + 15. If r = 2, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"x": "d + 5", "y": "x + 5", "r": "y + 11", "g": "r + 14", "k": "g + 10", "v": "k + 10", "a": "d + 7", "z": "a + 11", "l": "z + 17", "m": "l + 1", "e": "m + 2", "s": "e + 4", "d": 10}, "premises": {"d": 10}, "target": "v"}, "answer": {"steps": [["k", "g + 10", "g + 20"], ["g", "r + 14", "r + 34"], ["r", "y + 11", "y + 45"], ["y", "x + 5", "x + 50"], ["x", "d + 5", "d + 55"], ["d", 10, "65"]], "target_var_name": "v", "target_value": 65, "value_dict": {"d": 10}, "is_reverse": true}} | 15,193 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = y + 11; z = a + 11; s = e + 4; k = g + 10; x = d + 5; m = l + 1; e = m + 2; y = x + 5; g = r + 14; l = z + 17; a = d + 7; v = k + 10; d = 10. Given that d = 10, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 10 to v, which gives v = g + 20.\n2. Substitute g = r + 14 to v, which gives v = r + 34.\n3. Substitute r = y + 11 to v, which gives v = y + 45.\n4. Substitute y = x + 5 to v, which gives v = x + 50.\n5. Substitute x = d + 5 to v, which gives v = d + 55.\n6. Substitute d = 10 to v, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 15193,
"question": "Suppose a collection of variables is related by the following definitions: r = y + 11; z = a + 11; s = e + 4; k = g + 10; x = d + 5; m = l + 1; e = m + 2; y = x + 5; g = r + 14; l = z + 17; a = d + 7; v = k + 10; d = 10. Given that d = 10, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"b": "u + 7", "j": "b + 4", "s": "j + 7", "p": "s + 20", "l": "p + 14", "x": "l + 15", "a": "u + 19", "c": "a + 19", "d": "c + 6", "y": "d + 10", "t": "y + 17", "q": "t + 17", "u": 14}, "premises": {"u": 14}, "target": "x"}, "answer": {"steps": [["l", "p + 14", "p + 29"], ["p", "s + 20", "s + 49"], ["s", "j + 7", "j + 56"], ["j", "b + 4", "b + 60"], ["b", "u + 7", "u + 67"], ["u", 14, "81"]], "target_var_name": "x", "target_value": 81, "value_dict": {"u": 14}, "is_reverse": true}} | 15,194 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = b + 4; y = d + 10; t = y + 17; b = u + 7; q = t + 17; d = c + 6; c = a + 19; s = j + 7; a = u + 19; p = s + 20; x = l + 15; u = 14; l = p + 14. Given that u = 14, find 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 l = p + 14 to x, which gives x = p + 29.\n2. Substitute p = s + 20 to x, which gives x = s + 49.\n3. Substitute s = j + 7 to x, which gives x = j + 56.\n4. Substitute j = b + 4 to x, which gives x = b + 60.\n5. Substitute b = u + 7 to x, which gives x = u + 67.\n6. Substitute u = 14 to x, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 15194,
"question": "Suppose a collection of variables is related by the following definitions: j = b + 4; y = d + 10; t = y + 17; b = u + 7; q = t + 17; d = c + 6; c = a + 19; s = j + 7; a = u + 19; p = s + 20; x = l + 15; u = 14; l = p + 14. Given that u = 14, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 20", "o": "n + 6", "q": "o + 12", "s": "q + 14", "u": "s + 15", "a": "u + 19", "b": "x + 4", "f": "b + 20", "m": "f + 14", "h": "m + 20", "t": "h + 2", "r": "t + 8", "x": 1}, "premises": {"x": 1}, "target": "a"}, "answer": {"steps": [["u", "s + 15", "s + 34"], ["s", "q + 14", "q + 48"], ["q", "o + 12", "o + 60"], ["o", "n + 6", "n + 66"], ["n", "x + 20", "x + 86"], ["x", 1, "87"]], "target_var_name": "a", "target_value": 87, "value_dict": {"x": 1}, "is_reverse": true}} | 15,195 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = o + 12; u = s + 15; o = n + 6; s = q + 14; r = t + 8; b = x + 4; f = b + 20; n = x + 20; h = m + 20; x = 1; m = f + 14; t = h + 2; a = u + 19. If x = 1, what is the resulting value of a?",
"role": "user... | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 15 to a, which gives a = s + 34.\n2. Substitute s = q + 14 to a, which gives a = q + 48.\n3. Substitute q = o + 12 to a, which gives a = o + 60.\n4. Substitute o = n + 6 to a, which gives a = n + 66.\n5. Substitute n = x + 20 to a, which gives a = x + 86.\n6. Substitute x = 1 to a, which gives a = 87.\n\nThus, the final answer is a = \\boxed{87}.",
"index": 15195,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = o + 12; u = s + 15; o = n + 6; s = q + 14; r = t + 8; b = x + 4; f = b + 20; n = x + 20; h = m + 20; x = 1; m = f + 14; t = h + 2; a = u + 19. If x = 1, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 3", "o": "x + 4", "a": "o + 1", "r": "a + 2", "q": "r + 12", "j": "q + 1", "c": "l + 3", "z": "c + 20", "k": "z + 16", "n": "k + 11", "g": "n + 2", "b": "g + 9", "l": 17}, "premises": {"l": 17}, "target": "j"}, "answer": {"steps": [["q", "r + 12", "r + 13"], ["r", "a + 2", "a + 15"], ["a", "o + 1", "o + 16"], ["o", "x + 4", "x + 20"], ["x", "l + 3", "l + 23"], ["l", 17, "40"]], "target_var_name": "j", "target_value": 40, "value_dict": {"l": 17}, "is_reverse": true}} | 15,196 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = 17; z = c + 20; n = k + 11; g = n + 2; k = z + 16; j = q + 1; c = l + 3; b = g + 9; r = a + 2; x = l + 3; o = x + 4; a = o + 1; q = r + 12. If l = 17, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 12 to j, which gives j = r + 13.\n2. Substitute r = a + 2 to j, which gives j = a + 15.\n3. Substitute a = o + 1 to j, which gives j = o + 16.\n4. Substitute o = x + 4 to j, which gives j = x + 20.\n5. Substitute x = l + 3 to j, which gives j = l + 23.\n6. Substitute l = 17 to j, which gives j = 40.\n\nThus, the final answer is j = \\boxed{40}.",
"index": 15196,
"question": "Consider a system of variables where each variable is defined as follows: l = 17; z = c + 20; n = k + 11; g = n + 2; k = z + 16; j = q + 1; c = l + 3; b = g + 9; r = a + 2; x = l + 3; o = x + 4; a = o + 1; q = r + 12. If l = 17, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 15", "q": "m + 10", "v": "q + 4", "k": "v + 3", "x": "k + 1", "o": "x + 18", "n": "p + 7", "u": "n + 4", "g": "u + 18", "d": "g + 16", "i": "d + 15", "l": "i + 10", "p": 7}, "premises": {"p": 7}, "target": "o"}, "answer": {"steps": [["x", "k + 1", "k + 19"], ["k", "v + 3", "v + 22"], ["v", "q + 4", "q + 26"], ["q", "m + 10", "m + 36"], ["m", "p + 15", "p + 51"], ["p", 7, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"p": 7}, "is_reverse": true}} | 15,197 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 10; u = n + 4; m = p + 15; q = m + 10; d = g + 16; k = v + 3; i = d + 15; x = k + 1; n = p + 7; v = q + 4; o = x + 18; g = u + 18; p = 7. If p = 7, what is the resulting value of o?",
"role": "user"... | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 1 to o, which gives o = k + 19.\n2. Substitute k = v + 3 to o, which gives o = v + 22.\n3. Substitute v = q + 4 to o, which gives o = q + 26.\n4. Substitute q = m + 10 to o, which gives o = m + 36.\n5. Substitute m = p + 15 to o, which gives o = p + 51.\n6. Substitute p = 7 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 15197,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 10; u = n + 4; m = p + 15; q = m + 10; d = g + 16; k = v + 3; i = d + 15; x = k + 1; n = p + 7; v = q + 4; o = x + 18; g = u + 18; p = 7. If p = 7, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"t": "d + 19", "l": "t + 19", "g": "l + 11", "n": "g + 11", "a": "n + 10", "o": "a + 9", "b": "d + 2", "i": "b + 10", "e": "i + 4", "k": "e + 3", "p": "k + 4", "q": "p + 20", "d": 16}, "premises": {"d": 16}, "target": "o"}, "answer": {"steps": [["a", "n + 10", "n + 19"], ["n", "g + 11", "g + 30"], ["g", "l + 11", "l + 41"], ["l", "t + 19", "t + 60"], ["t", "d + 19", "d + 79"], ["d", 16, "95"]], "target_var_name": "o", "target_value": 95, "value_dict": {"d": 16}, "is_reverse": true}} | 15,198 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = d + 2; g = l + 11; l = t + 19; q = p + 20; p = k + 4; i = b + 10; n = g + 11; k = e + 3; o = a + 9; t = d + 19; e = i + 4; d = 16; a = n + 10. If d = 16, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 10 to o, which gives o = n + 19.\n2. Substitute n = g + 11 to o, which gives o = g + 30.\n3. Substitute g = l + 11 to o, which gives o = l + 41.\n4. Substitute l = t + 19 to o, which gives o = t + 60.\n5. Substitute t = d + 19 to o, which gives o = d + 79.\n6. Substitute d = 16 to o, which gives o = 95.\n\nThus, the final answer is o = \\boxed{95}.",
"index": 15198,
"question": "Consider a system of variables where each variable is defined as follows: b = d + 2; g = l + 11; l = t + 19; q = p + 20; p = k + 4; i = b + 10; n = g + 11; k = e + 3; o = a + 9; t = d + 19; e = i + 4; d = 16; a = n + 10. If d = 16, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 7", "i": "w + 6", "a": "i + 3", "v": "a + 1", "c": "v + 19", "d": "c + 2", "q": "j + 18", "s": "q + 11", "z": "s + 4", "m": "z + 8", "u": "m + 19", "o": "u + 12", "j": 8}, "premises": {"j": 8}, "target": "d"}, "answer": {"steps": [["c", "v + 19", "v + 21"], ["v", "a + 1", "a + 22"], ["a", "i + 3", "i + 25"], ["i", "w + 6", "w + 31"], ["w", "j + 7", "j + 38"], ["j", 8, "46"]], "target_var_name": "d", "target_value": 46, "value_dict": {"j": 8}, "is_reverse": true}} | 15,199 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = v + 19; d = c + 2; q = j + 18; v = a + 1; u = m + 19; m = z + 8; w = j + 7; i = w + 6; s = q + 11; o = u + 12; a = i + 3; z = s + 4; j = 8. Given that j = 8, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 19 to d, which gives d = v + 21.\n2. Substitute v = a + 1 to d, which gives d = a + 22.\n3. Substitute a = i + 3 to d, which gives d = i + 25.\n4. Substitute i = w + 6 to d, which gives d = w + 31.\n5. Substitute w = j + 7 to d, which gives d = j + 38.\n6. Substitute j = 8 to d, which gives d = 46.\n\nThus, the final answer is d = \\boxed{46}.",
"index": 15199,
"question": "Suppose a collection of variables is related by the following definitions: c = v + 19; d = c + 2; q = j + 18; v = a + 1; u = m + 19; m = z + 8; w = j + 7; i = w + 6; s = q + 11; o = u + 12; a = i + 3; z = s + 4; j = 8. Given that j = 8, find the value of d.",
"split": "train"
} |
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