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": {"b": "o + 18", "x": "b + 9", "e": "x + 1", "h": "e + 3", "w": "h + 13", "t": "w + 15", "k": "o + 5", "p": "k + 13", "m": "p + 19", "d": "m + 18", "a": "d + 5", "i": "a + 6", "o": 5}, "premises": {"o": 5}, "target": "t"}, "answer": {"steps": [["w", "h + 13", "h + 28"], ["h", "e + 3", "e + 31"], ["e", "x + 1", "x + 32"], ["x", "b + 9", "b + 41"], ["b", "o + 18", "o + 59"], ["o", 5, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"o": 5}, "is_reverse": true}} | 11,800 | 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 = o + 18; i = a + 6; k = o + 5; m = p + 19; a = d + 5; p = k + 13; x = b + 9; h = e + 3; e = x + 1; d = m + 18; t = w + 15; o = 5; w = h + 13. If o = 5, what is the resulting 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 = h + 13 to t, which gives t = h + 28.\n2. Substitute h = e + 3 to t, which gives t = e + 31.\n3. Substitute e = x + 1 to t, which gives t = x + 32.\n4. Substitute x = b + 9 to t, which gives t = b + 41.\n5. Substitute b = o + 18 to t, which gives t = o + 59.\n6. Substitute o = 5 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 11800,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = o + 18; i = a + 6; k = o + 5; m = p + 19; a = d + 5; p = k + 13; x = b + 9; h = e + 3; e = x + 1; d = m + 18; t = w + 15; o = 5; w = h + 13. If o = 5, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 2", "u": "m + 4", "h": "u + 14", "n": "h + 16", "z": "n + 7", "w": "z + 11", "e": "f + 20", "j": "e + 20", "b": "j + 1", "y": "b + 3", "o": "y + 12", "p": "o + 10", "f": 11}, "premises": {"f": 11}, "target": "w"}, "answer": {"steps": [["z", "n + 7", "n + 18"], ["n", "h + 16", "h + 34"], ["h", "u + 14", "u + 48"], ["u", "m + 4", "m + 52"], ["m", "f + 2", "f + 54"], ["f", 11, "65"]], "target_var_name": "w", "target_value": 65, "value_dict": {"f": 11}, "is_reverse": true}} | 11,801 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = u + 14; j = e + 20; f = 11; e = f + 20; u = m + 4; w = z + 11; y = b + 3; p = o + 10; m = f + 2; b = j + 1; z = n + 7; o = y + 12; n = h + 16. Given that f = 11, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 7 to w, which gives w = n + 18.\n2. Substitute n = h + 16 to w, which gives w = h + 34.\n3. Substitute h = u + 14 to w, which gives w = u + 48.\n4. Substitute u = m + 4 to w, which gives w = m + 52.\n5. Substitute m = f + 2 to w, which gives w = f + 54.\n6. Substitute f = 11 to w, which gives w = 65.\n\nThus, the final answer is w = \\boxed{65}.",
"index": 11801,
"question": "Suppose a collection of variables is related by the following definitions: h = u + 14; j = e + 20; f = 11; e = f + 20; u = m + 4; w = z + 11; y = b + 3; p = o + 10; m = f + 2; b = j + 1; z = n + 7; o = y + 12; n = h + 16. Given that f = 11, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"m": "h + 20", "j": "m + 6", "o": "j + 11", "k": "o + 8", "z": "k + 18", "y": "z + 15", "t": "h + 13", "v": "t + 12", "p": "v + 5", "c": "p + 13", "x": "c + 1", "s": "x + 12", "h": 20}, "premises": {"h": 20}, "target": "y"}, "answer": {"steps": [["z", "k + 18", "k + 33"], ["k", "o + 8", "o + 41"], ["o", "j + 11", "j + 52"], ["j", "m + 6", "m + 58"], ["m", "h + 20", "h + 78"], ["h", 20, "98"]], "target_var_name": "y", "target_value": 98, "value_dict": {"h": 20}, "is_reverse": true}} | 11,802 | 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 = t + 12; o = j + 11; j = m + 6; h = 20; x = c + 1; m = h + 20; k = o + 8; c = p + 13; y = z + 15; z = k + 18; t = h + 13; p = v + 5; s = x + 12. If h = 20, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 18 to y, which gives y = k + 33.\n2. Substitute k = o + 8 to y, which gives y = o + 41.\n3. Substitute o = j + 11 to y, which gives y = j + 52.\n4. Substitute j = m + 6 to y, which gives y = m + 58.\n5. Substitute m = h + 20 to y, which gives y = h + 78.\n6. Substitute h = 20 to y, which gives y = 98.\n\nThus, the final answer is y = \\boxed{98}.",
"index": 11802,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 12; o = j + 11; j = m + 6; h = 20; x = c + 1; m = h + 20; k = o + 8; c = p + 13; y = z + 15; z = k + 18; t = h + 13; p = v + 5; s = x + 12. If h = 20, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 6", "o": "x + 8", "g": "o + 17", "i": "g + 15", "z": "i + 1", "f": "z + 6", "b": "p + 6", "l": "b + 10", "v": "l + 7", "c": "v + 11", "r": "c + 1", "t": "r + 7", "p": 3}, "premises": {"p": 3}, "target": "f"}, "answer": {"steps": [["z", "i + 1", "i + 7"], ["i", "g + 15", "g + 22"], ["g", "o + 17", "o + 39"], ["o", "x + 8", "x + 47"], ["x", "p + 6", "p + 53"], ["p", 3, "56"]], "target_var_name": "f", "target_value": 56, "value_dict": {"p": 3}, "is_reverse": true}} | 11,803 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = l + 7; f = z + 6; x = p + 6; p = 3; t = r + 7; g = o + 17; i = g + 15; b = p + 6; z = i + 1; r = c + 1; c = v + 11; l = b + 10; o = x + 8. If p = 3, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 1 to f, which gives f = i + 7.\n2. Substitute i = g + 15 to f, which gives f = g + 22.\n3. Substitute g = o + 17 to f, which gives f = o + 39.\n4. Substitute o = x + 8 to f, which gives f = x + 47.\n5. Substitute x = p + 6 to f, which gives f = p + 53.\n6. Substitute p = 3 to f, which gives f = 56.\n\nThus, the final answer is f = \\boxed{56}.",
"index": 11803,
"question": "Consider a system of variables where each variable is defined as follows: v = l + 7; f = z + 6; x = p + 6; p = 3; t = r + 7; g = o + 17; i = g + 15; b = p + 6; z = i + 1; r = c + 1; c = v + 11; l = b + 10; o = x + 8. If p = 3, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 20", "b": "d + 18", "k": "b + 3", "a": "k + 17", "f": "a + 12", "q": "f + 13", "h": "x + 3", "j": "h + 4", "r": "j + 6", "e": "r + 14", "n": "e + 8", "g": "n + 2", "x": 15}, "premises": {"x": 15}, "target": "q"}, "answer": {"steps": [["f", "a + 12", "a + 25"], ["a", "k + 17", "k + 42"], ["k", "b + 3", "b + 45"], ["b", "d + 18", "d + 63"], ["d", "x + 20", "x + 83"], ["x", 15, "98"]], "target_var_name": "q", "target_value": 98, "value_dict": {"x": 15}, "is_reverse": true}} | 11,804 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 15; f = a + 12; e = r + 14; q = f + 13; h = x + 3; g = n + 2; d = x + 20; b = d + 18; r = j + 6; j = h + 4; k = b + 3; a = k + 17; n = e + 8. Given that x = 15, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 12 to q, which gives q = a + 25.\n2. Substitute a = k + 17 to q, which gives q = k + 42.\n3. Substitute k = b + 3 to q, which gives q = b + 45.\n4. Substitute b = d + 18 to q, which gives q = d + 63.\n5. Substitute d = x + 20 to q, which gives q = x + 83.\n6. Substitute x = 15 to q, which gives q = 98.\n\nThus, the final answer is q = \\boxed{98}.",
"index": 11804,
"question": "Suppose a collection of variables is related by the following definitions: x = 15; f = a + 12; e = r + 14; q = f + 13; h = x + 3; g = n + 2; d = x + 20; b = d + 18; r = j + 6; j = h + 4; k = b + 3; a = k + 17; n = e + 8. Given that x = 15, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"b": "w + 18", "s": "b + 3", "u": "s + 8", "r": "u + 11", "l": "r + 6", "j": "l + 10", "d": "w + 13", "z": "d + 8", "e": "z + 10", "t": "e + 13", "i": "t + 5", "o": "i + 15", "w": 11}, "premises": {"w": 11}, "target": "j"}, "answer": {"steps": [["l", "r + 6", "r + 16"], ["r", "u + 11", "u + 27"], ["u", "s + 8", "s + 35"], ["s", "b + 3", "b + 38"], ["b", "w + 18", "w + 56"], ["w", 11, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"w": 11}, "is_reverse": true}} | 11,805 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = l + 10; z = d + 8; o = i + 15; d = w + 13; r = u + 11; l = r + 6; i = t + 5; t = e + 13; u = s + 8; w = 11; s = b + 3; e = z + 10; b = w + 18. Given that w = 11, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 6 to j, which gives j = r + 16.\n2. Substitute r = u + 11 to j, which gives j = u + 27.\n3. Substitute u = s + 8 to j, which gives j = s + 35.\n4. Substitute s = b + 3 to j, which gives j = b + 38.\n5. Substitute b = w + 18 to j, which gives j = w + 56.\n6. Substitute w = 11 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 11805,
"question": "Suppose a collection of variables is related by the following definitions: j = l + 10; z = d + 8; o = i + 15; d = w + 13; r = u + 11; l = r + 6; i = t + 5; t = e + 13; u = s + 8; w = 11; s = b + 3; e = z + 10; b = w + 18. Given that w = 11, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 16", "a": "f + 10", "u": "a + 17", "v": "u + 16", "j": "v + 5", "z": "j + 4", "c": "t + 19", "g": "c + 9", "b": "g + 16", "x": "b + 4", "s": "x + 12", "k": "s + 14", "t": 5}, "premises": {"t": 5}, "target": "z"}, "answer": {"steps": [["j", "v + 5", "v + 9"], ["v", "u + 16", "u + 25"], ["u", "a + 17", "a + 42"], ["a", "f + 10", "f + 52"], ["f", "t + 16", "t + 68"], ["t", 5, "73"]], "target_var_name": "z", "target_value": 73, "value_dict": {"t": 5}, "is_reverse": true}} | 11,806 | 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 = t + 16; x = b + 4; g = c + 9; v = u + 16; s = x + 12; z = j + 4; j = v + 5; a = f + 10; b = g + 16; k = s + 14; u = a + 17; c = t + 19; t = 5. If t = 5, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 5 to z, which gives z = v + 9.\n2. Substitute v = u + 16 to z, which gives z = u + 25.\n3. Substitute u = a + 17 to z, which gives z = a + 42.\n4. Substitute a = f + 10 to z, which gives z = f + 52.\n5. Substitute f = t + 16 to z, which gives z = t + 68.\n6. Substitute t = 5 to z, which gives z = 73.\n\nThus, the final answer is z = \\boxed{73}.",
"index": 11806,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = t + 16; x = b + 4; g = c + 9; v = u + 16; s = x + 12; z = j + 4; j = v + 5; a = f + 10; b = g + 16; k = s + 14; u = a + 17; c = t + 19; t = 5. If t = 5, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"o": "z + 1", "c": "o + 11", "p": "c + 17", "k": "p + 16", "l": "k + 16", "a": "l + 10", "e": "z + 10", "f": "e + 14", "i": "f + 19", "s": "i + 16", "j": "s + 8", "m": "j + 4", "z": 8}, "premises": {"z": 8}, "target": "a"}, "answer": {"steps": [["l", "k + 16", "k + 26"], ["k", "p + 16", "p + 42"], ["p", "c + 17", "c + 59"], ["c", "o + 11", "o + 70"], ["o", "z + 1", "z + 71"], ["z", 8, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"z": 8}, "is_reverse": true}} | 11,807 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = z + 1; z = 8; c = o + 11; f = e + 14; i = f + 19; m = j + 4; a = l + 10; k = p + 16; p = c + 17; e = z + 10; s = i + 16; j = s + 8; l = k + 16. If z = 8, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 16 to a, which gives a = k + 26.\n2. Substitute k = p + 16 to a, which gives a = p + 42.\n3. Substitute p = c + 17 to a, which gives a = c + 59.\n4. Substitute c = o + 11 to a, which gives a = o + 70.\n5. Substitute o = z + 1 to a, which gives a = z + 71.\n6. Substitute z = 8 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 11807,
"question": "Consider a system of variables where each variable is defined as follows: o = z + 1; z = 8; c = o + 11; f = e + 14; i = f + 19; m = j + 4; a = l + 10; k = p + 16; p = c + 17; e = z + 10; s = i + 16; j = s + 8; l = k + 16. If z = 8, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 5", "p": "n + 8", "f": "p + 18", "d": "f + 20", "c": "d + 13", "o": "c + 10", "v": "g + 6", "z": "v + 2", "r": "z + 9", "s": "r + 11", "j": "s + 2", "q": "j + 8", "g": 1}, "premises": {"g": 1}, "target": "o"}, "answer": {"steps": [["c", "d + 13", "d + 23"], ["d", "f + 20", "f + 43"], ["f", "p + 18", "p + 61"], ["p", "n + 8", "n + 69"], ["n", "g + 5", "g + 74"], ["g", 1, "75"]], "target_var_name": "o", "target_value": 75, "value_dict": {"g": 1}, "is_reverse": true}} | 11,808 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = j + 8; f = p + 18; z = v + 2; g = 1; n = g + 5; v = g + 6; p = n + 8; r = z + 9; o = c + 10; s = r + 11; j = s + 2; d = f + 20; c = d + 13. Given that g = 1, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 13 to o, which gives o = d + 23.\n2. Substitute d = f + 20 to o, which gives o = f + 43.\n3. Substitute f = p + 18 to o, which gives o = p + 61.\n4. Substitute p = n + 8 to o, which gives o = n + 69.\n5. Substitute n = g + 5 to o, which gives o = g + 74.\n6. Substitute g = 1 to o, which gives o = 75.\n\nThus, the final answer is o = \\boxed{75}.",
"index": 11808,
"question": "Suppose a collection of variables is related by the following definitions: q = j + 8; f = p + 18; z = v + 2; g = 1; n = g + 5; v = g + 6; p = n + 8; r = z + 9; o = c + 10; s = r + 11; j = s + 2; d = f + 20; c = d + 13. Given that g = 1, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "a + 11", "t": "u + 19", "h": "t + 15", "l": "h + 20", "i": "l + 3", "x": "i + 2", "z": "a + 17", "m": "z + 16", "o": "m + 12", "c": "o + 11", "w": "c + 18", "f": "w + 3", "a": 5}, "premises": {"a": 5}, "target": "x"}, "answer": {"steps": [["i", "l + 3", "l + 5"], ["l", "h + 20", "h + 25"], ["h", "t + 15", "t + 40"], ["t", "u + 19", "u + 59"], ["u", "a + 11", "a + 70"], ["a", 5, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"a": 5}, "is_reverse": true}} | 11,809 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = t + 15; x = i + 2; i = l + 3; u = a + 11; a = 5; z = a + 17; t = u + 19; o = m + 12; l = h + 20; m = z + 16; c = o + 11; w = c + 18; f = w + 3. Given that a = 5, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 3 to x, which gives x = l + 5.\n2. Substitute l = h + 20 to x, which gives x = h + 25.\n3. Substitute h = t + 15 to x, which gives x = t + 40.\n4. Substitute t = u + 19 to x, which gives x = u + 59.\n5. Substitute u = a + 11 to x, which gives x = a + 70.\n6. Substitute a = 5 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 11809,
"question": "Suppose a collection of variables is related by the following definitions: h = t + 15; x = i + 2; i = l + 3; u = a + 11; a = 5; z = a + 17; t = u + 19; o = m + 12; l = h + 20; m = z + 16; c = o + 11; w = c + 18; f = w + 3. Given that a = 5, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 8", "h": "c + 10", "z": "h + 2", "e": "z + 12", "p": "e + 10", "t": "p + 9", "j": "f + 13", "r": "j + 4", "m": "r + 3", "l": "m + 9", "k": "l + 10", "d": "k + 2", "f": 7}, "premises": {"f": 7}, "target": "t"}, "answer": {"steps": [["p", "e + 10", "e + 19"], ["e", "z + 12", "z + 31"], ["z", "h + 2", "h + 33"], ["h", "c + 10", "c + 43"], ["c", "f + 8", "f + 51"], ["f", 7, "58"]], "target_var_name": "t", "target_value": 58, "value_dict": {"f": 7}, "is_reverse": true}} | 11,810 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = p + 9; c = f + 8; f = 7; j = f + 13; d = k + 2; h = c + 10; r = j + 4; p = e + 10; k = l + 10; m = r + 3; z = h + 2; l = m + 9; e = z + 12. If f = 7, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 10 to t, which gives t = e + 19.\n2. Substitute e = z + 12 to t, which gives t = z + 31.\n3. Substitute z = h + 2 to t, which gives t = h + 33.\n4. Substitute h = c + 10 to t, which gives t = c + 43.\n5. Substitute c = f + 8 to t, which gives t = f + 51.\n6. Substitute f = 7 to t, which gives t = 58.\n\nThus, the final answer is t = \\boxed{58}.",
"index": 11810,
"question": "Consider a system of variables where each variable is defined as follows: t = p + 9; c = f + 8; f = 7; j = f + 13; d = k + 2; h = c + 10; r = j + 4; p = e + 10; k = l + 10; m = r + 3; z = h + 2; l = m + 9; e = z + 12. If f = 7, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 18", "d": "q + 7", "x": "d + 5", "a": "x + 13", "z": "a + 11", "y": "z + 6", "u": "r + 13", "t": "u + 18", "s": "t + 13", "n": "s + 16", "b": "n + 1", "f": "b + 10", "r": 17}, "premises": {"r": 17}, "target": "y"}, "answer": {"steps": [["z", "a + 11", "a + 17"], ["a", "x + 13", "x + 30"], ["x", "d + 5", "d + 35"], ["d", "q + 7", "q + 42"], ["q", "r + 18", "r + 60"], ["r", 17, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"r": 17}, "is_reverse": true}} | 11,811 | 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 = a + 11; a = x + 13; x = d + 5; y = z + 6; t = u + 18; u = r + 13; s = t + 13; q = r + 18; d = q + 7; r = 17; n = s + 16; b = n + 1; f = b + 10. If r = 17, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 11 to y, which gives y = a + 17.\n2. Substitute a = x + 13 to y, which gives y = x + 30.\n3. Substitute x = d + 5 to y, which gives y = d + 35.\n4. Substitute d = q + 7 to y, which gives y = q + 42.\n5. Substitute q = r + 18 to y, which gives y = r + 60.\n6. Substitute r = 17 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 11811,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = a + 11; a = x + 13; x = d + 5; y = z + 6; t = u + 18; u = r + 13; s = t + 13; q = r + 18; d = q + 7; r = 17; n = s + 16; b = n + 1; f = b + 10. If r = 17, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 8", "z": "s + 8", "c": "z + 3", "n": "c + 9", "v": "n + 19", "a": "v + 10", "b": "k + 8", "p": "b + 2", "q": "p + 12", "d": "q + 3", "e": "d + 18", "f": "e + 11", "k": 6}, "premises": {"k": 6}, "target": "a"}, "answer": {"steps": [["v", "n + 19", "n + 29"], ["n", "c + 9", "c + 38"], ["c", "z + 3", "z + 41"], ["z", "s + 8", "s + 49"], ["s", "k + 8", "k + 57"], ["k", 6, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"k": 6}, "is_reverse": true}} | 11,812 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = k + 8; a = v + 10; d = q + 3; z = s + 8; b = k + 8; k = 6; n = c + 9; v = n + 19; p = b + 2; q = p + 12; e = d + 18; f = e + 11; c = z + 3. If k = 6, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 19 to a, which gives a = n + 29.\n2. Substitute n = c + 9 to a, which gives a = c + 38.\n3. Substitute c = z + 3 to a, which gives a = z + 41.\n4. Substitute z = s + 8 to a, which gives a = s + 49.\n5. Substitute s = k + 8 to a, which gives a = k + 57.\n6. Substitute k = 6 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 11812,
"question": "Consider a system of variables where each variable is defined as follows: s = k + 8; a = v + 10; d = q + 3; z = s + 8; b = k + 8; k = 6; n = c + 9; v = n + 19; p = b + 2; q = p + 12; e = d + 18; f = e + 11; c = z + 3. If k = 6, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 15", "x": "u + 14", "q": "x + 19", "w": "q + 16", "n": "w + 20", "m": "n + 19", "f": "b + 10", "r": "f + 11", "j": "r + 16", "t": "j + 15", "d": "t + 15", "k": "d + 13", "b": 7}, "premises": {"b": 7}, "target": "m"}, "answer": {"steps": [["n", "w + 20", "w + 39"], ["w", "q + 16", "q + 55"], ["q", "x + 19", "x + 74"], ["x", "u + 14", "u + 88"], ["u", "b + 15", "b + 103"], ["b", 7, "110"]], "target_var_name": "m", "target_value": 110, "value_dict": {"b": 7}, "is_reverse": true}} | 11,813 | 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 = f + 11; x = u + 14; n = w + 20; m = n + 19; u = b + 15; b = 7; q = x + 19; t = j + 15; j = r + 16; w = q + 16; f = b + 10; d = t + 15; k = d + 13. If b = 7, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 20 to m, which gives m = w + 39.\n2. Substitute w = q + 16 to m, which gives m = q + 55.\n3. Substitute q = x + 19 to m, which gives m = x + 74.\n4. Substitute x = u + 14 to m, which gives m = u + 88.\n5. Substitute u = b + 15 to m, which gives m = b + 103.\n6. Substitute b = 7 to m, which gives m = 110.\n\nThus, the final answer is m = \\boxed{110}.",
"index": 11813,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = f + 11; x = u + 14; n = w + 20; m = n + 19; u = b + 15; b = 7; q = x + 19; t = j + 15; j = r + 16; w = q + 16; f = b + 10; d = t + 15; k = d + 13. If b = 7, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 7", "w": "s + 19", "m": "w + 9", "r": "m + 12", "x": "r + 19", "q": "x + 1", "t": "d + 20", "g": "t + 15", "e": "g + 12", "b": "e + 4", "o": "b + 5", "u": "o + 15", "d": 4}, "premises": {"d": 4}, "target": "q"}, "answer": {"steps": [["x", "r + 19", "r + 20"], ["r", "m + 12", "m + 32"], ["m", "w + 9", "w + 41"], ["w", "s + 19", "s + 60"], ["s", "d + 7", "d + 67"], ["d", 4, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"d": 4}, "is_reverse": true}} | 11,814 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = w + 9; u = o + 15; s = d + 7; q = x + 1; g = t + 15; t = d + 20; e = g + 12; o = b + 5; w = s + 19; d = 4; r = m + 12; x = r + 19; b = e + 4. Given that d = 4, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 19 to q, which gives q = r + 20.\n2. Substitute r = m + 12 to q, which gives q = m + 32.\n3. Substitute m = w + 9 to q, which gives q = w + 41.\n4. Substitute w = s + 19 to q, which gives q = s + 60.\n5. Substitute s = d + 7 to q, which gives q = d + 67.\n6. Substitute d = 4 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 11814,
"question": "Suppose a collection of variables is related by the following definitions: m = w + 9; u = o + 15; s = d + 7; q = x + 1; g = t + 15; t = d + 20; e = g + 12; o = b + 5; w = s + 19; d = 4; r = m + 12; x = r + 19; b = e + 4. Given that d = 4, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 3", "d": "l + 20", "e": "d + 20", "o": "e + 8", "g": "o + 18", "q": "g + 4", "r": "y + 18", "b": "r + 13", "k": "b + 19", "n": "k + 3", "f": "n + 19", "j": "f + 19", "y": 2}, "premises": {"y": 2}, "target": "q"}, "answer": {"steps": [["g", "o + 18", "o + 22"], ["o", "e + 8", "e + 30"], ["e", "d + 20", "d + 50"], ["d", "l + 20", "l + 70"], ["l", "y + 3", "y + 73"], ["y", 2, "75"]], "target_var_name": "q", "target_value": 75, "value_dict": {"y": 2}, "is_reverse": true}} | 11,815 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = g + 4; o = e + 8; y = 2; e = d + 20; k = b + 19; n = k + 3; d = l + 20; j = f + 19; g = o + 18; f = n + 19; r = y + 18; l = y + 3; b = r + 13. If y = 2, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 18 to q, which gives q = o + 22.\n2. Substitute o = e + 8 to q, which gives q = e + 30.\n3. Substitute e = d + 20 to q, which gives q = d + 50.\n4. Substitute d = l + 20 to q, which gives q = l + 70.\n5. Substitute l = y + 3 to q, which gives q = y + 73.\n6. Substitute y = 2 to q, which gives q = 75.\n\nThus, the final answer is q = \\boxed{75}.",
"index": 11815,
"question": "Consider a system of variables where each variable is defined as follows: q = g + 4; o = e + 8; y = 2; e = d + 20; k = b + 19; n = k + 3; d = l + 20; j = f + 19; g = o + 18; f = n + 19; r = y + 18; l = y + 3; b = r + 13. If y = 2, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"m": "o + 2", "l": "m + 12", "y": "l + 9", "h": "y + 7", "c": "h + 17", "s": "c + 7", "q": "o + 15", "j": "q + 15", "r": "j + 10", "d": "r + 3", "g": "d + 7", "b": "g + 6", "o": 14}, "premises": {"o": 14}, "target": "s"}, "answer": {"steps": [["c", "h + 17", "h + 24"], ["h", "y + 7", "y + 31"], ["y", "l + 9", "l + 40"], ["l", "m + 12", "m + 52"], ["m", "o + 2", "o + 54"], ["o", 14, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"o": 14}, "is_reverse": true}} | 11,816 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = d + 7; d = r + 3; s = c + 7; m = o + 2; j = q + 15; c = h + 17; q = o + 15; b = g + 6; h = y + 7; r = j + 10; l = m + 12; o = 14; y = l + 9. If o = 14, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 17 to s, which gives s = h + 24.\n2. Substitute h = y + 7 to s, which gives s = y + 31.\n3. Substitute y = l + 9 to s, which gives s = l + 40.\n4. Substitute l = m + 12 to s, which gives s = m + 52.\n5. Substitute m = o + 2 to s, which gives s = o + 54.\n6. Substitute o = 14 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 11816,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = d + 7; d = r + 3; s = c + 7; m = o + 2; j = q + 15; c = h + 17; q = o + 15; b = g + 6; h = y + 7; r = j + 10; l = m + 12; o = 14; y = l + 9. If o = 14, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 16", "b": "x + 3", "h": "b + 5", "y": "h + 5", "g": "y + 7", "c": "g + 9", "l": "o + 10", "q": "l + 17", "r": "q + 4", "v": "r + 17", "i": "v + 8", "s": "i + 18", "o": 17}, "premises": {"o": 17}, "target": "c"}, "answer": {"steps": [["g", "y + 7", "y + 16"], ["y", "h + 5", "h + 21"], ["h", "b + 5", "b + 26"], ["b", "x + 3", "x + 29"], ["x", "o + 16", "o + 45"], ["o", 17, "62"]], "target_var_name": "c", "target_value": 62, "value_dict": {"o": 17}, "is_reverse": true}} | 11,817 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = r + 17; c = g + 9; q = l + 17; h = b + 5; l = o + 10; b = x + 3; r = q + 4; x = o + 16; g = y + 7; y = h + 5; o = 17; s = i + 18; i = v + 8. If o = 17, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 7 to c, which gives c = y + 16.\n2. Substitute y = h + 5 to c, which gives c = h + 21.\n3. Substitute h = b + 5 to c, which gives c = b + 26.\n4. Substitute b = x + 3 to c, which gives c = x + 29.\n5. Substitute x = o + 16 to c, which gives c = o + 45.\n6. Substitute o = 17 to c, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 11817,
"question": "Consider a system of variables where each variable is defined as follows: v = r + 17; c = g + 9; q = l + 17; h = b + 5; l = o + 10; b = x + 3; r = q + 4; x = o + 16; g = y + 7; y = h + 5; o = 17; s = i + 18; i = v + 8. If o = 17, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 18", "f": "b + 3", "y": "f + 14", "k": "y + 14", "j": "k + 12", "c": "j + 7", "x": "g + 11", "h": "x + 10", "n": "h + 20", "u": "n + 12", "a": "u + 17", "d": "a + 14", "g": 3}, "premises": {"g": 3}, "target": "c"}, "answer": {"steps": [["j", "k + 12", "k + 19"], ["k", "y + 14", "y + 33"], ["y", "f + 14", "f + 47"], ["f", "b + 3", "b + 50"], ["b", "g + 18", "g + 68"], ["g", 3, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"g": 3}, "is_reverse": true}} | 11,818 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = u + 17; b = g + 18; y = f + 14; h = x + 10; n = h + 20; c = j + 7; g = 3; x = g + 11; k = y + 14; d = a + 14; u = n + 12; f = b + 3; j = k + 12. Given that g = 3, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 12 to c, which gives c = k + 19.\n2. Substitute k = y + 14 to c, which gives c = y + 33.\n3. Substitute y = f + 14 to c, which gives c = f + 47.\n4. Substitute f = b + 3 to c, which gives c = b + 50.\n5. Substitute b = g + 18 to c, which gives c = g + 68.\n6. Substitute g = 3 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 11818,
"question": "Suppose a collection of variables is related by the following definitions: a = u + 17; b = g + 18; y = f + 14; h = x + 10; n = h + 20; c = j + 7; g = 3; x = g + 11; k = y + 14; d = a + 14; u = n + 12; f = b + 3; j = k + 12. Given that g = 3, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 10", "q": "v + 11", "b": "q + 1", "c": "b + 18", "o": "c + 12", "k": "o + 8", "z": "h + 8", "m": "z + 10", "n": "m + 3", "d": "n + 18", "u": "d + 12", "i": "u + 9", "h": 16}, "premises": {"h": 16}, "target": "k"}, "answer": {"steps": [["o", "c + 12", "c + 20"], ["c", "b + 18", "b + 38"], ["b", "q + 1", "q + 39"], ["q", "v + 11", "v + 50"], ["v", "h + 10", "h + 60"], ["h", 16, "76"]], "target_var_name": "k", "target_value": 76, "value_dict": {"h": 16}, "is_reverse": true}} | 11,819 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = z + 10; z = h + 8; u = d + 12; h = 16; o = c + 12; v = h + 10; i = u + 9; d = n + 18; k = o + 8; b = q + 1; c = b + 18; q = v + 11; n = m + 3. Given that h = 16, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 12 to k, which gives k = c + 20.\n2. Substitute c = b + 18 to k, which gives k = b + 38.\n3. Substitute b = q + 1 to k, which gives k = q + 39.\n4. Substitute q = v + 11 to k, which gives k = v + 50.\n5. Substitute v = h + 10 to k, which gives k = h + 60.\n6. Substitute h = 16 to k, which gives k = 76.\n\nThus, the final answer is k = \\boxed{76}.",
"index": 11819,
"question": "Suppose a collection of variables is related by the following definitions: m = z + 10; z = h + 8; u = d + 12; h = 16; o = c + 12; v = h + 10; i = u + 9; d = n + 18; k = o + 8; b = q + 1; c = b + 18; q = v + 11; n = m + 3. Given that h = 16, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 12", "w": "n + 7", "b": "w + 2", "e": "b + 8", "x": "e + 13", "f": "x + 14", "v": "y + 15", "m": "v + 20", "o": "m + 15", "h": "o + 13", "s": "h + 2", "d": "s + 8", "y": 5}, "premises": {"y": 5}, "target": "f"}, "answer": {"steps": [["x", "e + 13", "e + 27"], ["e", "b + 8", "b + 35"], ["b", "w + 2", "w + 37"], ["w", "n + 7", "n + 44"], ["n", "y + 12", "y + 56"], ["y", 5, "61"]], "target_var_name": "f", "target_value": 61, "value_dict": {"y": 5}, "is_reverse": true}} | 11,820 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = n + 7; d = s + 8; v = y + 15; f = x + 14; s = h + 2; h = o + 13; m = v + 20; e = b + 8; y = 5; x = e + 13; o = m + 15; n = y + 12; b = w + 2. Given that y = 5, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 13 to f, which gives f = e + 27.\n2. Substitute e = b + 8 to f, which gives f = b + 35.\n3. Substitute b = w + 2 to f, which gives f = w + 37.\n4. Substitute w = n + 7 to f, which gives f = n + 44.\n5. Substitute n = y + 12 to f, which gives f = y + 56.\n6. Substitute y = 5 to f, which gives f = 61.\n\nThus, the final answer is f = \\boxed{61}.",
"index": 11820,
"question": "Suppose a collection of variables is related by the following definitions: w = n + 7; d = s + 8; v = y + 15; f = x + 14; s = h + 2; h = o + 13; m = v + 20; e = b + 8; y = 5; x = e + 13; o = m + 15; n = y + 12; b = w + 2. Given that y = 5, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 3", "g": "s + 18", "w": "g + 1", "h": "w + 2", "k": "h + 16", "n": "k + 12", "m": "j + 4", "d": "m + 12", "t": "d + 10", "i": "t + 4", "a": "i + 3", "x": "a + 11", "j": 17}, "premises": {"j": 17}, "target": "n"}, "answer": {"steps": [["k", "h + 16", "h + 28"], ["h", "w + 2", "w + 30"], ["w", "g + 1", "g + 31"], ["g", "s + 18", "s + 49"], ["s", "j + 3", "j + 52"], ["j", 17, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"j": 17}, "is_reverse": true}} | 11,821 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 2; k = h + 16; s = j + 3; x = a + 11; w = g + 1; i = t + 4; t = d + 10; a = i + 3; g = s + 18; j = 17; m = j + 4; n = k + 12; d = m + 12. If j = 17, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 16 to n, which gives n = h + 28.\n2. Substitute h = w + 2 to n, which gives n = w + 30.\n3. Substitute w = g + 1 to n, which gives n = g + 31.\n4. Substitute g = s + 18 to n, which gives n = s + 49.\n5. Substitute s = j + 3 to n, which gives n = j + 52.\n6. Substitute j = 17 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 11821,
"question": "Consider a system of variables where each variable is defined as follows: h = w + 2; k = h + 16; s = j + 3; x = a + 11; w = g + 1; i = t + 4; t = d + 10; a = i + 3; g = s + 18; j = 17; m = j + 4; n = k + 12; d = m + 12. If j = 17, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 8", "z": "i + 1", "s": "z + 5", "q": "s + 17", "x": "q + 2", "h": "x + 18", "n": "v + 13", "f": "n + 15", "g": "f + 20", "j": "g + 5", "l": "j + 16", "k": "l + 1", "v": 20}, "premises": {"v": 20}, "target": "h"}, "answer": {"steps": [["x", "q + 2", "q + 20"], ["q", "s + 17", "s + 37"], ["s", "z + 5", "z + 42"], ["z", "i + 1", "i + 43"], ["i", "v + 8", "v + 51"], ["v", 20, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"v": 20}, "is_reverse": true}} | 11,822 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = f + 20; f = n + 15; i = v + 8; l = j + 16; n = v + 13; v = 20; x = q + 2; k = l + 1; j = g + 5; q = s + 17; z = i + 1; h = x + 18; s = z + 5. If v = 20, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 2 to h, which gives h = q + 20.\n2. Substitute q = s + 17 to h, which gives h = s + 37.\n3. Substitute s = z + 5 to h, which gives h = z + 42.\n4. Substitute z = i + 1 to h, which gives h = i + 43.\n5. Substitute i = v + 8 to h, which gives h = v + 51.\n6. Substitute v = 20 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 11822,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = f + 20; f = n + 15; i = v + 8; l = j + 16; n = v + 13; v = 20; x = q + 2; k = l + 1; j = g + 5; q = s + 17; z = i + 1; h = x + 18; s = z + 5. If v = 20, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 18", "q": "w + 13", "l": "q + 11", "i": "l + 20", "t": "i + 7", "u": "t + 11", "h": "y + 9", "f": "h + 6", "z": "f + 19", "d": "z + 18", "x": "d + 19", "s": "x + 11", "y": 16}, "premises": {"y": 16}, "target": "u"}, "answer": {"steps": [["t", "i + 7", "i + 18"], ["i", "l + 20", "l + 38"], ["l", "q + 11", "q + 49"], ["q", "w + 13", "w + 62"], ["w", "y + 18", "y + 80"], ["y", 16, "96"]], "target_var_name": "u", "target_value": 96, "value_dict": {"y": 16}, "is_reverse": true}} | 11,823 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = q + 11; s = x + 11; f = h + 6; u = t + 11; t = i + 7; x = d + 19; i = l + 20; y = 16; z = f + 19; d = z + 18; w = y + 18; h = y + 9; q = w + 13. Given that y = 16, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 7 to u, which gives u = i + 18.\n2. Substitute i = l + 20 to u, which gives u = l + 38.\n3. Substitute l = q + 11 to u, which gives u = q + 49.\n4. Substitute q = w + 13 to u, which gives u = w + 62.\n5. Substitute w = y + 18 to u, which gives u = y + 80.\n6. Substitute y = 16 to u, which gives u = 96.\n\nThus, the final answer is u = \\boxed{96}.",
"index": 11823,
"question": "Suppose a collection of variables is related by the following definitions: l = q + 11; s = x + 11; f = h + 6; u = t + 11; t = i + 7; x = d + 19; i = l + 20; y = 16; z = f + 19; d = z + 18; w = y + 18; h = y + 9; q = w + 13. Given that y = 16, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 7", "i": "c + 7", "q": "i + 11", "f": "q + 14", "b": "f + 19", "l": "b + 2", "s": "z + 5", "n": "s + 6", "h": "n + 13", "m": "h + 2", "d": "m + 11", "a": "d + 10", "z": 2}, "premises": {"z": 2}, "target": "l"}, "answer": {"steps": [["b", "f + 19", "f + 21"], ["f", "q + 14", "q + 35"], ["q", "i + 11", "i + 46"], ["i", "c + 7", "c + 53"], ["c", "z + 7", "z + 60"], ["z", 2, "62"]], "target_var_name": "l", "target_value": 62, "value_dict": {"z": 2}, "is_reverse": true}} | 11,824 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = z + 5; c = z + 7; n = s + 6; b = f + 19; f = q + 14; h = n + 13; m = h + 2; a = d + 10; d = m + 11; q = i + 11; i = c + 7; z = 2; l = b + 2. Given that z = 2, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 19 to l, which gives l = f + 21.\n2. Substitute f = q + 14 to l, which gives l = q + 35.\n3. Substitute q = i + 11 to l, which gives l = i + 46.\n4. Substitute i = c + 7 to l, which gives l = c + 53.\n5. Substitute c = z + 7 to l, which gives l = z + 60.\n6. Substitute z = 2 to l, which gives l = 62.\n\nThus, the final answer is l = \\boxed{62}.",
"index": 11824,
"question": "Suppose a collection of variables is related by the following definitions: s = z + 5; c = z + 7; n = s + 6; b = f + 19; f = q + 14; h = n + 13; m = h + 2; a = d + 10; d = m + 11; q = i + 11; i = c + 7; z = 2; l = b + 2. Given that z = 2, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 6", "g": "x + 8", "y": "g + 18", "v": "y + 1", "j": "v + 10", "d": "j + 9", "s": "w + 16", "q": "s + 12", "i": "q + 9", "k": "i + 3", "l": "k + 8", "z": "l + 4", "w": 6}, "premises": {"w": 6}, "target": "d"}, "answer": {"steps": [["j", "v + 10", "v + 19"], ["v", "y + 1", "y + 20"], ["y", "g + 18", "g + 38"], ["g", "x + 8", "x + 46"], ["x", "w + 6", "w + 52"], ["w", 6, "58"]], "target_var_name": "d", "target_value": 58, "value_dict": {"w": 6}, "is_reverse": true}} | 11,825 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = i + 3; z = l + 4; x = w + 6; s = w + 16; l = k + 8; j = v + 10; g = x + 8; q = s + 12; d = j + 9; i = q + 9; v = y + 1; w = 6; y = g + 18. If w = 6, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 10 to d, which gives d = v + 19.\n2. Substitute v = y + 1 to d, which gives d = y + 20.\n3. Substitute y = g + 18 to d, which gives d = g + 38.\n4. Substitute g = x + 8 to d, which gives d = x + 46.\n5. Substitute x = w + 6 to d, which gives d = w + 52.\n6. Substitute w = 6 to d, which gives d = 58.\n\nThus, the final answer is d = \\boxed{58}.",
"index": 11825,
"question": "Consider a system of variables where each variable is defined as follows: k = i + 3; z = l + 4; x = w + 6; s = w + 16; l = k + 8; j = v + 10; g = x + 8; q = s + 12; d = j + 9; i = q + 9; v = y + 1; w = 6; y = g + 18. If w = 6, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 6", "d": "f + 2", "j": "d + 13", "u": "j + 8", "g": "u + 10", "y": "g + 13", "k": "o + 3", "e": "k + 6", "n": "e + 12", "s": "n + 6", "h": "s + 2", "w": "h + 10", "o": 4}, "premises": {"o": 4}, "target": "y"}, "answer": {"steps": [["g", "u + 10", "u + 23"], ["u", "j + 8", "j + 31"], ["j", "d + 13", "d + 44"], ["d", "f + 2", "f + 46"], ["f", "o + 6", "o + 52"], ["o", 4, "56"]], "target_var_name": "y", "target_value": 56, "value_dict": {"o": 4}, "is_reverse": true}} | 11,826 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = u + 10; k = o + 3; n = e + 12; w = h + 10; o = 4; h = s + 2; e = k + 6; y = g + 13; f = o + 6; j = d + 13; u = j + 8; d = f + 2; s = n + 6. If o = 4, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 10 to y, which gives y = u + 23.\n2. Substitute u = j + 8 to y, which gives y = j + 31.\n3. Substitute j = d + 13 to y, which gives y = d + 44.\n4. Substitute d = f + 2 to y, which gives y = f + 46.\n5. Substitute f = o + 6 to y, which gives y = o + 52.\n6. Substitute o = 4 to y, which gives y = 56.\n\nThus, the final answer is y = \\boxed{56}.",
"index": 11826,
"question": "Consider a system of variables where each variable is defined as follows: g = u + 10; k = o + 3; n = e + 12; w = h + 10; o = 4; h = s + 2; e = k + 6; y = g + 13; f = o + 6; j = d + 13; u = j + 8; d = f + 2; s = n + 6. If o = 4, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 4", "p": "h + 11", "m": "p + 6", "j": "m + 6", "n": "j + 9", "k": "n + 17", "y": "l + 18", "u": "y + 8", "a": "u + 9", "r": "a + 8", "e": "r + 15", "d": "e + 13", "l": 15}, "premises": {"l": 15}, "target": "k"}, "answer": {"steps": [["n", "j + 9", "j + 26"], ["j", "m + 6", "m + 32"], ["m", "p + 6", "p + 38"], ["p", "h + 11", "h + 49"], ["h", "l + 4", "l + 53"], ["l", 15, "68"]], "target_var_name": "k", "target_value": 68, "value_dict": {"l": 15}, "is_reverse": true}} | 11,827 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = r + 15; p = h + 11; k = n + 17; n = j + 9; d = e + 13; a = u + 9; u = y + 8; y = l + 18; l = 15; m = p + 6; r = a + 8; j = m + 6; h = l + 4. If l = 15, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 9 to k, which gives k = j + 26.\n2. Substitute j = m + 6 to k, which gives k = m + 32.\n3. Substitute m = p + 6 to k, which gives k = p + 38.\n4. Substitute p = h + 11 to k, which gives k = h + 49.\n5. Substitute h = l + 4 to k, which gives k = l + 53.\n6. Substitute l = 15 to k, which gives k = 68.\n\nThus, the final answer is k = \\boxed{68}.",
"index": 11827,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = r + 15; p = h + 11; k = n + 17; n = j + 9; d = e + 13; a = u + 9; u = y + 8; y = l + 18; l = 15; m = p + 6; r = a + 8; j = m + 6; h = l + 4. If l = 15, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"y": "v + 4", "s": "y + 20", "d": "s + 9", "h": "d + 7", "u": "h + 20", "a": "u + 14", "f": "v + 18", "k": "f + 8", "g": "k + 10", "z": "g + 15", "w": "z + 9", "q": "w + 13", "v": 16}, "premises": {"v": 16}, "target": "a"}, "answer": {"steps": [["u", "h + 20", "h + 34"], ["h", "d + 7", "d + 41"], ["d", "s + 9", "s + 50"], ["s", "y + 20", "y + 70"], ["y", "v + 4", "v + 74"], ["v", 16, "90"]], "target_var_name": "a", "target_value": 90, "value_dict": {"v": 16}, "is_reverse": true}} | 11,828 | 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 = w + 13; g = k + 10; v = 16; d = s + 9; a = u + 14; s = y + 20; w = z + 9; f = v + 18; h = d + 7; z = g + 15; y = v + 4; k = f + 8; u = h + 20. If v = 16, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 20 to a, which gives a = h + 34.\n2. Substitute h = d + 7 to a, which gives a = d + 41.\n3. Substitute d = s + 9 to a, which gives a = s + 50.\n4. Substitute s = y + 20 to a, which gives a = y + 70.\n5. Substitute y = v + 4 to a, which gives a = v + 74.\n6. Substitute v = 16 to a, which gives a = 90.\n\nThus, the final answer is a = \\boxed{90}.",
"index": 11828,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 13; g = k + 10; v = 16; d = s + 9; a = u + 14; s = y + 20; w = z + 9; f = v + 18; h = d + 7; z = g + 15; y = v + 4; k = f + 8; u = h + 20. If v = 16, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"f": "u + 15", "k": "f + 12", "a": "k + 3", "i": "a + 10", "r": "i + 6", "e": "r + 1", "c": "u + 9", "x": "c + 9", "q": "x + 6", "g": "q + 13", "n": "g + 16", "o": "n + 1", "u": 12}, "premises": {"u": 12}, "target": "e"}, "answer": {"steps": [["r", "i + 6", "i + 7"], ["i", "a + 10", "a + 17"], ["a", "k + 3", "k + 20"], ["k", "f + 12", "f + 32"], ["f", "u + 15", "u + 47"], ["u", 12, "59"]], "target_var_name": "e", "target_value": 59, "value_dict": {"u": 12}, "is_reverse": true}} | 11,829 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = c + 9; c = u + 9; u = 12; a = k + 3; e = r + 1; k = f + 12; o = n + 1; n = g + 16; i = a + 10; f = u + 15; g = q + 13; q = x + 6; r = i + 6. If u = 12, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 6 to e, which gives e = i + 7.\n2. Substitute i = a + 10 to e, which gives e = a + 17.\n3. Substitute a = k + 3 to e, which gives e = k + 20.\n4. Substitute k = f + 12 to e, which gives e = f + 32.\n5. Substitute f = u + 15 to e, which gives e = u + 47.\n6. Substitute u = 12 to e, which gives e = 59.\n\nThus, the final answer is e = \\boxed{59}.",
"index": 11829,
"question": "Consider a system of variables where each variable is defined as follows: x = c + 9; c = u + 9; u = 12; a = k + 3; e = r + 1; k = f + 12; o = n + 1; n = g + 16; i = a + 10; f = u + 15; g = q + 13; q = x + 6; r = i + 6. If u = 12, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 19", "k": "h + 3", "x": "k + 1", "l": "x + 13", "z": "l + 6", "e": "z + 17", "n": "w + 10", "d": "n + 11", "q": "d + 14", "y": "q + 19", "f": "y + 2", "i": "f + 19", "w": 7}, "premises": {"w": 7}, "target": "e"}, "answer": {"steps": [["z", "l + 6", "l + 23"], ["l", "x + 13", "x + 36"], ["x", "k + 1", "k + 37"], ["k", "h + 3", "h + 40"], ["h", "w + 19", "w + 59"], ["w", 7, "66"]], "target_var_name": "e", "target_value": 66, "value_dict": {"w": 7}, "is_reverse": true}} | 11,830 | 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 = q + 19; x = k + 1; d = n + 11; f = y + 2; w = 7; k = h + 3; i = f + 19; e = z + 17; l = x + 13; h = w + 19; n = w + 10; q = d + 14; z = l + 6. If w = 7, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 6 to e, which gives e = l + 23.\n2. Substitute l = x + 13 to e, which gives e = x + 36.\n3. Substitute x = k + 1 to e, which gives e = k + 37.\n4. Substitute k = h + 3 to e, which gives e = h + 40.\n5. Substitute h = w + 19 to e, which gives e = w + 59.\n6. Substitute w = 7 to e, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 11830,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = q + 19; x = k + 1; d = n + 11; f = y + 2; w = 7; k = h + 3; i = f + 19; e = z + 17; l = x + 13; h = w + 19; n = w + 10; q = d + 14; z = l + 6. If w = 7, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 16", "k": "w + 17", "i": "k + 4", "p": "i + 20", "x": "p + 13", "a": "x + 19", "b": "l + 2", "c": "b + 7", "q": "c + 3", "g": "q + 8", "y": "g + 2", "t": "y + 16", "l": 4}, "premises": {"l": 4}, "target": "a"}, "answer": {"steps": [["x", "p + 13", "p + 32"], ["p", "i + 20", "i + 52"], ["i", "k + 4", "k + 56"], ["k", "w + 17", "w + 73"], ["w", "l + 16", "l + 89"], ["l", 4, "93"]], "target_var_name": "a", "target_value": 93, "value_dict": {"l": 4}, "is_reverse": true}} | 11,831 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = l + 16; g = q + 8; c = b + 7; k = w + 17; p = i + 20; q = c + 3; y = g + 2; t = y + 16; b = l + 2; l = 4; x = p + 13; i = k + 4; a = x + 19. If l = 4, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 13 to a, which gives a = p + 32.\n2. Substitute p = i + 20 to a, which gives a = i + 52.\n3. Substitute i = k + 4 to a, which gives a = k + 56.\n4. Substitute k = w + 17 to a, which gives a = w + 73.\n5. Substitute w = l + 16 to a, which gives a = l + 89.\n6. Substitute l = 4 to a, which gives a = 93.\n\nThus, the final answer is a = \\boxed{93}.",
"index": 11831,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = l + 16; g = q + 8; c = b + 7; k = w + 17; p = i + 20; q = c + 3; y = g + 2; t = y + 16; b = l + 2; l = 4; x = p + 13; i = k + 4; a = x + 19. If l = 4, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"q": "t + 1", "n": "q + 6", "b": "n + 7", "f": "b + 1", "a": "f + 19", "w": "a + 9", "m": "t + 17", "s": "m + 6", "j": "s + 2", "r": "j + 8", "k": "r + 4", "l": "k + 15", "t": 10}, "premises": {"t": 10}, "target": "w"}, "answer": {"steps": [["a", "f + 19", "f + 28"], ["f", "b + 1", "b + 29"], ["b", "n + 7", "n + 36"], ["n", "q + 6", "q + 42"], ["q", "t + 1", "t + 43"], ["t", 10, "53"]], "target_var_name": "w", "target_value": 53, "value_dict": {"t": 10}, "is_reverse": true}} | 11,832 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = b + 1; t = 10; l = k + 15; n = q + 6; m = t + 17; b = n + 7; s = m + 6; r = j + 8; k = r + 4; j = s + 2; q = t + 1; w = a + 9; a = f + 19. If t = 10, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 19 to w, which gives w = f + 28.\n2. Substitute f = b + 1 to w, which gives w = b + 29.\n3. Substitute b = n + 7 to w, which gives w = n + 36.\n4. Substitute n = q + 6 to w, which gives w = q + 42.\n5. Substitute q = t + 1 to w, which gives w = t + 43.\n6. Substitute t = 10 to w, which gives w = 53.\n\nThus, the final answer is w = \\boxed{53}.",
"index": 11832,
"question": "Consider a system of variables where each variable is defined as follows: f = b + 1; t = 10; l = k + 15; n = q + 6; m = t + 17; b = n + 7; s = m + 6; r = j + 8; k = r + 4; j = s + 2; q = t + 1; w = a + 9; a = f + 19. If t = 10, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 18", "k": "h + 20", "b": "k + 12", "x": "b + 1", "q": "x + 19", "f": "q + 2", "v": "p + 9", "y": "v + 15", "i": "y + 9", "o": "i + 5", "z": "o + 19", "l": "z + 10", "p": 9}, "premises": {"p": 9}, "target": "f"}, "answer": {"steps": [["q", "x + 19", "x + 21"], ["x", "b + 1", "b + 22"], ["b", "k + 12", "k + 34"], ["k", "h + 20", "h + 54"], ["h", "p + 18", "p + 72"], ["p", 9, "81"]], "target_var_name": "f", "target_value": 81, "value_dict": {"p": 9}, "is_reverse": true}} | 11,833 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = 9; x = b + 1; i = y + 9; k = h + 20; z = o + 19; b = k + 12; y = v + 15; f = q + 2; q = x + 19; v = p + 9; l = z + 10; h = p + 18; o = i + 5. Given that p = 9, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 19 to f, which gives f = x + 21.\n2. Substitute x = b + 1 to f, which gives f = b + 22.\n3. Substitute b = k + 12 to f, which gives f = k + 34.\n4. Substitute k = h + 20 to f, which gives f = h + 54.\n5. Substitute h = p + 18 to f, which gives f = p + 72.\n6. Substitute p = 9 to f, which gives f = 81.\n\nThus, the final answer is f = \\boxed{81}.",
"index": 11833,
"question": "Suppose a collection of variables is related by the following definitions: p = 9; x = b + 1; i = y + 9; k = h + 20; z = o + 19; b = k + 12; y = v + 15; f = q + 2; q = x + 19; v = p + 9; l = z + 10; h = p + 18; o = i + 5. Given that p = 9, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 12", "x": "r + 4", "a": "x + 13", "j": "a + 6", "o": "j + 5", "i": "o + 13", "q": "k + 18", "w": "q + 1", "v": "w + 13", "d": "v + 13", "y": "d + 14", "c": "y + 4", "k": 16}, "premises": {"k": 16}, "target": "i"}, "answer": {"steps": [["o", "j + 5", "j + 18"], ["j", "a + 6", "a + 24"], ["a", "x + 13", "x + 37"], ["x", "r + 4", "r + 41"], ["r", "k + 12", "k + 53"], ["k", 16, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"k": 16}, "is_reverse": true}} | 11,834 | 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 = v + 13; v = w + 13; j = a + 6; k = 16; i = o + 13; q = k + 18; r = k + 12; c = y + 4; a = x + 13; y = d + 14; w = q + 1; x = r + 4; o = j + 5. If k = 16, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 5 to i, which gives i = j + 18.\n2. Substitute j = a + 6 to i, which gives i = a + 24.\n3. Substitute a = x + 13 to i, which gives i = x + 37.\n4. Substitute x = r + 4 to i, which gives i = r + 41.\n5. Substitute r = k + 12 to i, which gives i = k + 53.\n6. Substitute k = 16 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 11834,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 13; v = w + 13; j = a + 6; k = 16; i = o + 13; q = k + 18; r = k + 12; c = y + 4; a = x + 13; y = d + 14; w = q + 1; x = r + 4; o = j + 5. If k = 16, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"a": "w + 5", "g": "a + 1", "l": "g + 14", "c": "l + 20", "y": "c + 8", "r": "y + 5", "b": "w + 19", "h": "b + 4", "p": "h + 3", "j": "p + 11", "q": "j + 6", "e": "q + 20", "w": 9}, "premises": {"w": 9}, "target": "r"}, "answer": {"steps": [["y", "c + 8", "c + 13"], ["c", "l + 20", "l + 33"], ["l", "g + 14", "g + 47"], ["g", "a + 1", "a + 48"], ["a", "w + 5", "w + 53"], ["w", 9, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"w": 9}, "is_reverse": true}} | 11,835 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = p + 11; q = j + 6; b = w + 19; l = g + 14; y = c + 8; c = l + 20; p = h + 3; r = y + 5; w = 9; e = q + 20; a = w + 5; g = a + 1; h = b + 4. If w = 9, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 8 to r, which gives r = c + 13.\n2. Substitute c = l + 20 to r, which gives r = l + 33.\n3. Substitute l = g + 14 to r, which gives r = g + 47.\n4. Substitute g = a + 1 to r, which gives r = a + 48.\n5. Substitute a = w + 5 to r, which gives r = w + 53.\n6. Substitute w = 9 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 11835,
"question": "Consider a system of variables where each variable is defined as follows: j = p + 11; q = j + 6; b = w + 19; l = g + 14; y = c + 8; c = l + 20; p = h + 3; r = y + 5; w = 9; e = q + 20; a = w + 5; g = a + 1; h = b + 4. If w = 9, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"l": "c + 19", "o": "l + 11", "z": "o + 12", "f": "z + 11", "e": "f + 18", "a": "e + 9", "s": "c + 3", "x": "s + 5", "w": "x + 6", "i": "w + 19", "q": "i + 17", "u": "q + 20", "c": 12}, "premises": {"c": 12}, "target": "a"}, "answer": {"steps": [["e", "f + 18", "f + 27"], ["f", "z + 11", "z + 38"], ["z", "o + 12", "o + 50"], ["o", "l + 11", "l + 61"], ["l", "c + 19", "c + 80"], ["c", 12, "92"]], "target_var_name": "a", "target_value": 92, "value_dict": {"c": 12}, "is_reverse": true}} | 11,836 | 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 + 17; e = f + 18; z = o + 12; f = z + 11; s = c + 3; i = w + 19; w = x + 6; c = 12; u = q + 20; a = e + 9; l = c + 19; x = s + 5; o = l + 11. If c = 12, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 18 to a, which gives a = f + 27.\n2. Substitute f = z + 11 to a, which gives a = z + 38.\n3. Substitute z = o + 12 to a, which gives a = o + 50.\n4. Substitute o = l + 11 to a, which gives a = l + 61.\n5. Substitute l = c + 19 to a, which gives a = c + 80.\n6. Substitute c = 12 to a, which gives a = 92.\n\nThus, the final answer is a = \\boxed{92}.",
"index": 11836,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 17; e = f + 18; z = o + 12; f = z + 11; s = c + 3; i = w + 19; w = x + 6; c = 12; u = q + 20; a = e + 9; l = c + 19; x = s + 5; o = l + 11. If c = 12, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 5", "d": "n + 13", "t": "d + 10", "u": "t + 1", "e": "u + 13", "s": "e + 13", "w": "v + 11", "y": "w + 10", "m": "y + 12", "j": "m + 2", "r": "j + 3", "b": "r + 6", "v": 9}, "premises": {"v": 9}, "target": "s"}, "answer": {"steps": [["e", "u + 13", "u + 26"], ["u", "t + 1", "t + 27"], ["t", "d + 10", "d + 37"], ["d", "n + 13", "n + 50"], ["n", "v + 5", "v + 55"], ["v", 9, "64"]], "target_var_name": "s", "target_value": 64, "value_dict": {"v": 9}, "is_reverse": true}} | 11,837 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = n + 13; u = t + 1; y = w + 10; t = d + 10; j = m + 2; v = 9; s = e + 13; w = v + 11; r = j + 3; n = v + 5; e = u + 13; b = r + 6; m = y + 12. If v = 9, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 13 to s, which gives s = u + 26.\n2. Substitute u = t + 1 to s, which gives s = t + 27.\n3. Substitute t = d + 10 to s, which gives s = d + 37.\n4. Substitute d = n + 13 to s, which gives s = n + 50.\n5. Substitute n = v + 5 to s, which gives s = v + 55.\n6. Substitute v = 9 to s, which gives s = 64.\n\nThus, the final answer is s = \\boxed{64}.",
"index": 11837,
"question": "Consider a system of variables where each variable is defined as follows: d = n + 13; u = t + 1; y = w + 10; t = d + 10; j = m + 2; v = 9; s = e + 13; w = v + 11; r = j + 3; n = v + 5; e = u + 13; b = r + 6; m = y + 12. If v = 9, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 5", "c": "l + 19", "u": "c + 3", "s": "u + 12", "r": "s + 8", "w": "r + 6", "x": "f + 20", "g": "x + 3", "z": "g + 4", "d": "z + 7", "e": "d + 4", "m": "e + 19", "f": 19}, "premises": {"f": 19}, "target": "w"}, "answer": {"steps": [["r", "s + 8", "s + 14"], ["s", "u + 12", "u + 26"], ["u", "c + 3", "c + 29"], ["c", "l + 19", "l + 48"], ["l", "f + 5", "f + 53"], ["f", 19, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"f": 19}, "is_reverse": true}} | 11,838 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = x + 3; l = f + 5; r = s + 8; c = l + 19; d = z + 7; x = f + 20; m = e + 19; u = c + 3; w = r + 6; e = d + 4; z = g + 4; s = u + 12; f = 19. If f = 19, determine 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 r = s + 8 to w, which gives w = s + 14.\n2. Substitute s = u + 12 to w, which gives w = u + 26.\n3. Substitute u = c + 3 to w, which gives w = c + 29.\n4. Substitute c = l + 19 to w, which gives w = l + 48.\n5. Substitute l = f + 5 to w, which gives w = f + 53.\n6. Substitute f = 19 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 11838,
"question": "Consider a system of variables where each variable is defined as follows: g = x + 3; l = f + 5; r = s + 8; c = l + 19; d = z + 7; x = f + 20; m = e + 19; u = c + 3; w = r + 6; e = d + 4; z = g + 4; s = u + 12; f = 19. If f = 19, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 17", "b": "c + 6", "w": "b + 12", "r": "w + 2", "f": "r + 12", "d": "f + 19", "a": "t + 3", "e": "a + 17", "j": "e + 8", "p": "j + 3", "z": "p + 15", "i": "z + 4", "t": 8}, "premises": {"t": 8}, "target": "d"}, "answer": {"steps": [["f", "r + 12", "r + 31"], ["r", "w + 2", "w + 33"], ["w", "b + 12", "b + 45"], ["b", "c + 6", "c + 51"], ["c", "t + 17", "t + 68"], ["t", 8, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"t": 8}, "is_reverse": true}} | 11,839 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = a + 17; r = w + 2; c = t + 17; a = t + 3; f = r + 12; i = z + 4; d = f + 19; p = j + 3; b = c + 6; w = b + 12; z = p + 15; t = 8; j = e + 8. Given that t = 8, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 12 to d, which gives d = r + 31.\n2. Substitute r = w + 2 to d, which gives d = w + 33.\n3. Substitute w = b + 12 to d, which gives d = b + 45.\n4. Substitute b = c + 6 to d, which gives d = c + 51.\n5. Substitute c = t + 17 to d, which gives d = t + 68.\n6. Substitute t = 8 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 11839,
"question": "Suppose a collection of variables is related by the following definitions: e = a + 17; r = w + 2; c = t + 17; a = t + 3; f = r + 12; i = z + 4; d = f + 19; p = j + 3; b = c + 6; w = b + 12; z = p + 15; t = 8; j = e + 8. Given that t = 8, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 12", "n": "u + 11", "l": "n + 14", "b": "l + 17", "q": "b + 1", "x": "q + 5", "t": "m + 17", "j": "t + 11", "k": "j + 17", "c": "k + 15", "r": "c + 4", "f": "r + 20", "m": 9}, "premises": {"m": 9}, "target": "x"}, "answer": {"steps": [["q", "b + 1", "b + 6"], ["b", "l + 17", "l + 23"], ["l", "n + 14", "n + 37"], ["n", "u + 11", "u + 48"], ["u", "m + 12", "m + 60"], ["m", 9, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"m": 9}, "is_reverse": true}} | 11,840 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 17; j = t + 11; n = u + 11; k = j + 17; c = k + 15; m = 9; r = c + 4; x = q + 5; q = b + 1; t = m + 17; f = r + 20; u = m + 12; l = n + 14. If m = 9, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 1 to x, which gives x = b + 6.\n2. Substitute b = l + 17 to x, which gives x = l + 23.\n3. Substitute l = n + 14 to x, which gives x = n + 37.\n4. Substitute n = u + 11 to x, which gives x = u + 48.\n5. Substitute u = m + 12 to x, which gives x = m + 60.\n6. Substitute m = 9 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 11840,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 17; j = t + 11; n = u + 11; k = j + 17; c = k + 15; m = 9; r = c + 4; x = q + 5; q = b + 1; t = m + 17; f = r + 20; u = m + 12; l = n + 14. If m = 9, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 1", "i": "c + 10", "b": "i + 3", "m": "b + 12", "w": "m + 3", "r": "w + 14", "v": "p + 10", "d": "v + 14", "t": "d + 13", "q": "t + 4", "x": "q + 13", "j": "x + 20", "p": 15}, "premises": {"p": 15}, "target": "r"}, "answer": {"steps": [["w", "m + 3", "m + 17"], ["m", "b + 12", "b + 29"], ["b", "i + 3", "i + 32"], ["i", "c + 10", "c + 42"], ["c", "p + 1", "p + 43"], ["p", 15, "58"]], "target_var_name": "r", "target_value": 58, "value_dict": {"p": 15}, "is_reverse": true}} | 11,841 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = w + 14; p = 15; q = t + 4; t = d + 13; d = v + 14; x = q + 13; c = p + 1; j = x + 20; m = b + 12; b = i + 3; i = c + 10; w = m + 3; v = p + 10. Given that p = 15, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 3 to r, which gives r = m + 17.\n2. Substitute m = b + 12 to r, which gives r = b + 29.\n3. Substitute b = i + 3 to r, which gives r = i + 32.\n4. Substitute i = c + 10 to r, which gives r = c + 42.\n5. Substitute c = p + 1 to r, which gives r = p + 43.\n6. Substitute p = 15 to r, which gives r = 58.\n\nThus, the final answer is r = \\boxed{58}.",
"index": 11841,
"question": "Suppose a collection of variables is related by the following definitions: r = w + 14; p = 15; q = t + 4; t = d + 13; d = v + 14; x = q + 13; c = p + 1; j = x + 20; m = b + 12; b = i + 3; i = c + 10; w = m + 3; v = p + 10. Given that p = 15, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 3", "o": "k + 13", "d": "o + 5", "a": "d + 9", "m": "a + 12", "r": "m + 11", "x": "u + 18", "q": "x + 3", "i": "q + 20", "l": "i + 13", "n": "l + 7", "p": "n + 18", "u": 3}, "premises": {"u": 3}, "target": "r"}, "answer": {"steps": [["m", "a + 12", "a + 23"], ["a", "d + 9", "d + 32"], ["d", "o + 5", "o + 37"], ["o", "k + 13", "k + 50"], ["k", "u + 3", "u + 53"], ["u", 3, "56"]], "target_var_name": "r", "target_value": 56, "value_dict": {"u": 3}, "is_reverse": true}} | 11,842 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = a + 12; d = o + 5; l = i + 13; p = n + 18; n = l + 7; q = x + 3; r = m + 11; i = q + 20; k = u + 3; u = 3; o = k + 13; a = d + 9; x = u + 18. If u = 3, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 12 to r, which gives r = a + 23.\n2. Substitute a = d + 9 to r, which gives r = d + 32.\n3. Substitute d = o + 5 to r, which gives r = o + 37.\n4. Substitute o = k + 13 to r, which gives r = k + 50.\n5. Substitute k = u + 3 to r, which gives r = u + 53.\n6. Substitute u = 3 to r, which gives r = 56.\n\nThus, the final answer is r = \\boxed{56}.",
"index": 11842,
"question": "Consider a system of variables where each variable is defined as follows: m = a + 12; d = o + 5; l = i + 13; p = n + 18; n = l + 7; q = x + 3; r = m + 11; i = q + 20; k = u + 3; u = 3; o = k + 13; a = d + 9; x = u + 18. If u = 3, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 10", "m": "i + 12", "g": "m + 10", "t": "g + 7", "f": "t + 17", "c": "f + 12", "w": "y + 3", "p": "w + 15", "s": "p + 15", "r": "s + 5", "h": "r + 14", "k": "h + 18", "y": 19}, "premises": {"y": 19}, "target": "c"}, "answer": {"steps": [["f", "t + 17", "t + 29"], ["t", "g + 7", "g + 36"], ["g", "m + 10", "m + 46"], ["m", "i + 12", "i + 58"], ["i", "y + 10", "y + 68"], ["y", 19, "87"]], "target_var_name": "c", "target_value": 87, "value_dict": {"y": 19}, "is_reverse": true}} | 11,843 | 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 + 12; s = p + 15; i = y + 10; g = m + 10; y = 19; h = r + 14; c = f + 12; w = y + 3; p = w + 15; f = t + 17; t = g + 7; r = s + 5; k = h + 18. If y = 19, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 17 to c, which gives c = t + 29.\n2. Substitute t = g + 7 to c, which gives c = g + 36.\n3. Substitute g = m + 10 to c, which gives c = m + 46.\n4. Substitute m = i + 12 to c, which gives c = i + 58.\n5. Substitute i = y + 10 to c, which gives c = y + 68.\n6. Substitute y = 19 to c, which gives c = 87.\n\nThus, the final answer is c = \\boxed{87}.",
"index": 11843,
"question": "Consider a system of variables where each variable is defined as follows: m = i + 12; s = p + 15; i = y + 10; g = m + 10; y = 19; h = r + 14; c = f + 12; w = y + 3; p = w + 15; f = t + 17; t = g + 7; r = s + 5; k = h + 18. If y = 19, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 18", "k": "g + 12", "a": "k + 14", "u": "a + 14", "l": "u + 10", "d": "l + 6", "q": "e + 6", "r": "q + 3", "n": "r + 18", "p": "n + 6", "v": "p + 10", "o": "v + 14", "e": 18}, "premises": {"e": 18}, "target": "d"}, "answer": {"steps": [["l", "u + 10", "u + 16"], ["u", "a + 14", "a + 30"], ["a", "k + 14", "k + 44"], ["k", "g + 12", "g + 56"], ["g", "e + 18", "e + 74"], ["e", 18, "92"]], "target_var_name": "d", "target_value": 92, "value_dict": {"e": 18}, "is_reverse": true}} | 11,844 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = 18; p = n + 6; r = q + 3; v = p + 10; a = k + 14; q = e + 6; g = e + 18; o = v + 14; k = g + 12; n = r + 18; u = a + 14; l = u + 10; d = l + 6. If e = 18, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 10 to d, which gives d = u + 16.\n2. Substitute u = a + 14 to d, which gives d = a + 30.\n3. Substitute a = k + 14 to d, which gives d = k + 44.\n4. Substitute k = g + 12 to d, which gives d = g + 56.\n5. Substitute g = e + 18 to d, which gives d = e + 74.\n6. Substitute e = 18 to d, which gives d = 92.\n\nThus, the final answer is d = \\boxed{92}.",
"index": 11844,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 18; p = n + 6; r = q + 3; v = p + 10; a = k + 14; q = e + 6; g = e + 18; o = v + 14; k = g + 12; n = r + 18; u = a + 14; l = u + 10; d = l + 6. If e = 18, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 18", "y": "z + 4", "c": "y + 16", "x": "c + 3", "q": "x + 8", "l": "q + 11", "s": "t + 16", "b": "s + 13", "v": "b + 2", "n": "v + 3", "o": "n + 3", "g": "o + 12", "t": 4}, "premises": {"t": 4}, "target": "l"}, "answer": {"steps": [["q", "x + 8", "x + 19"], ["x", "c + 3", "c + 22"], ["c", "y + 16", "y + 38"], ["y", "z + 4", "z + 42"], ["z", "t + 18", "t + 60"], ["t", 4, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"t": 4}, "is_reverse": true}} | 11,845 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = 4; g = o + 12; q = x + 8; s = t + 16; y = z + 4; x = c + 3; z = t + 18; c = y + 16; n = v + 3; b = s + 13; o = n + 3; v = b + 2; l = q + 11. Given that t = 4, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 8 to l, which gives l = x + 19.\n2. Substitute x = c + 3 to l, which gives l = c + 22.\n3. Substitute c = y + 16 to l, which gives l = y + 38.\n4. Substitute y = z + 4 to l, which gives l = z + 42.\n5. Substitute z = t + 18 to l, which gives l = t + 60.\n6. Substitute t = 4 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 11845,
"question": "Suppose a collection of variables is related by the following definitions: t = 4; g = o + 12; q = x + 8; s = t + 16; y = z + 4; x = c + 3; z = t + 18; c = y + 16; n = v + 3; b = s + 13; o = n + 3; v = b + 2; l = q + 11. Given that t = 4, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"e": "o + 18", "p": "e + 14", "g": "p + 15", "q": "g + 2", "l": "q + 15", "k": "l + 2", "s": "o + 9", "m": "s + 6", "u": "m + 20", "f": "u + 16", "n": "f + 6", "d": "n + 1", "o": 9}, "premises": {"o": 9}, "target": "k"}, "answer": {"steps": [["l", "q + 15", "q + 17"], ["q", "g + 2", "g + 19"], ["g", "p + 15", "p + 34"], ["p", "e + 14", "e + 48"], ["e", "o + 18", "o + 66"], ["o", 9, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"o": 9}, "is_reverse": true}} | 11,846 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 20; q = g + 2; k = l + 2; o = 9; s = o + 9; n = f + 6; l = q + 15; f = u + 16; g = p + 15; d = n + 1; e = o + 18; p = e + 14; m = s + 6. If o = 9, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 15 to k, which gives k = q + 17.\n2. Substitute q = g + 2 to k, which gives k = g + 19.\n3. Substitute g = p + 15 to k, which gives k = p + 34.\n4. Substitute p = e + 14 to k, which gives k = e + 48.\n5. Substitute e = o + 18 to k, which gives k = o + 66.\n6. Substitute o = 9 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 11846,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 20; q = g + 2; k = l + 2; o = 9; s = o + 9; n = f + 6; l = q + 15; f = u + 16; g = p + 15; d = n + 1; e = o + 18; p = e + 14; m = s + 6. If o = 9, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 11", "d": "g + 1", "c": "d + 18", "w": "c + 8", "l": "w + 3", "p": "l + 2", "y": "a + 13", "k": "y + 10", "m": "k + 13", "s": "m + 4", "u": "s + 1", "z": "u + 4", "a": 16}, "premises": {"a": 16}, "target": "p"}, "answer": {"steps": [["l", "w + 3", "w + 5"], ["w", "c + 8", "c + 13"], ["c", "d + 18", "d + 31"], ["d", "g + 1", "g + 32"], ["g", "a + 11", "a + 43"], ["a", 16, "59"]], "target_var_name": "p", "target_value": 59, "value_dict": {"a": 16}, "is_reverse": true}} | 11,847 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 13; w = c + 8; z = u + 4; p = l + 2; c = d + 18; g = a + 11; d = g + 1; u = s + 1; y = a + 13; s = m + 4; l = w + 3; a = 16; k = y + 10. If a = 16, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 3 to p, which gives p = w + 5.\n2. Substitute w = c + 8 to p, which gives p = c + 13.\n3. Substitute c = d + 18 to p, which gives p = d + 31.\n4. Substitute d = g + 1 to p, which gives p = g + 32.\n5. Substitute g = a + 11 to p, which gives p = a + 43.\n6. Substitute a = 16 to p, which gives p = 59.\n\nThus, the final answer is p = \\boxed{59}.",
"index": 11847,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 13; w = c + 8; z = u + 4; p = l + 2; c = d + 18; g = a + 11; d = g + 1; u = s + 1; y = a + 13; s = m + 4; l = w + 3; a = 16; k = y + 10. If a = 16, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"s": "o + 3", "m": "s + 18", "z": "m + 17", "u": "z + 2", "j": "u + 3", "h": "j + 6", "v": "o + 1", "a": "v + 20", "k": "a + 11", "c": "k + 11", "d": "c + 5", "t": "d + 19", "o": 15}, "premises": {"o": 15}, "target": "h"}, "answer": {"steps": [["j", "u + 3", "u + 9"], ["u", "z + 2", "z + 11"], ["z", "m + 17", "m + 28"], ["m", "s + 18", "s + 46"], ["s", "o + 3", "o + 49"], ["o", 15, "64"]], "target_var_name": "h", "target_value": 64, "value_dict": {"o": 15}, "is_reverse": true}} | 11,848 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = c + 5; c = k + 11; k = a + 11; j = u + 3; m = s + 18; z = m + 17; u = z + 2; a = v + 20; s = o + 3; h = j + 6; o = 15; v = o + 1; t = d + 19. Given that o = 15, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 3 to h, which gives h = u + 9.\n2. Substitute u = z + 2 to h, which gives h = z + 11.\n3. Substitute z = m + 17 to h, which gives h = m + 28.\n4. Substitute m = s + 18 to h, which gives h = s + 46.\n5. Substitute s = o + 3 to h, which gives h = o + 49.\n6. Substitute o = 15 to h, which gives h = 64.\n\nThus, the final answer is h = \\boxed{64}.",
"index": 11848,
"question": "Suppose a collection of variables is related by the following definitions: d = c + 5; c = k + 11; k = a + 11; j = u + 3; m = s + 18; z = m + 17; u = z + 2; a = v + 20; s = o + 3; h = j + 6; o = 15; v = o + 1; t = d + 19. Given that o = 15, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"h": "o + 5", "v": "h + 10", "y": "v + 11", "g": "y + 17", "p": "g + 19", "b": "p + 3", "n": "o + 11", "t": "n + 14", "d": "t + 19", "w": "d + 13", "q": "w + 3", "z": "q + 1", "o": 2}, "premises": {"o": 2}, "target": "b"}, "answer": {"steps": [["p", "g + 19", "g + 22"], ["g", "y + 17", "y + 39"], ["y", "v + 11", "v + 50"], ["v", "h + 10", "h + 60"], ["h", "o + 5", "o + 65"], ["o", 2, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"o": 2}, "is_reverse": true}} | 11,849 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = y + 17; d = t + 19; b = p + 3; z = q + 1; n = o + 11; v = h + 10; h = o + 5; t = n + 14; y = v + 11; o = 2; p = g + 19; q = w + 3; w = d + 13. Given that o = 2, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 19 to b, which gives b = g + 22.\n2. Substitute g = y + 17 to b, which gives b = y + 39.\n3. Substitute y = v + 11 to b, which gives b = v + 50.\n4. Substitute v = h + 10 to b, which gives b = h + 60.\n5. Substitute h = o + 5 to b, which gives b = o + 65.\n6. Substitute o = 2 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 11849,
"question": "Suppose a collection of variables is related by the following definitions: g = y + 17; d = t + 19; b = p + 3; z = q + 1; n = o + 11; v = h + 10; h = o + 5; t = n + 14; y = v + 11; o = 2; p = g + 19; q = w + 3; w = d + 13. Given that o = 2, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 19", "s": "r + 13", "a": "s + 2", "q": "a + 1", "o": "q + 13", "j": "o + 14", "e": "i + 1", "y": "e + 2", "g": "y + 1", "p": "g + 1", "m": "p + 15", "f": "m + 8", "i": 5}, "premises": {"i": 5}, "target": "j"}, "answer": {"steps": [["o", "q + 13", "q + 27"], ["q", "a + 1", "a + 28"], ["a", "s + 2", "s + 30"], ["s", "r + 13", "r + 43"], ["r", "i + 19", "i + 62"], ["i", 5, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"i": 5}, "is_reverse": true}} | 11,850 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = 5; j = o + 14; q = a + 1; y = e + 2; a = s + 2; m = p + 15; f = m + 8; o = q + 13; r = i + 19; g = y + 1; e = i + 1; p = g + 1; s = r + 13. Given that i = 5, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 13 to j, which gives j = q + 27.\n2. Substitute q = a + 1 to j, which gives j = a + 28.\n3. Substitute a = s + 2 to j, which gives j = s + 30.\n4. Substitute s = r + 13 to j, which gives j = r + 43.\n5. Substitute r = i + 19 to j, which gives j = i + 62.\n6. Substitute i = 5 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 11850,
"question": "Suppose a collection of variables is related by the following definitions: i = 5; j = o + 14; q = a + 1; y = e + 2; a = s + 2; m = p + 15; f = m + 8; o = q + 13; r = i + 19; g = y + 1; e = i + 1; p = g + 1; s = r + 13. Given that i = 5, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 8", "w": "o + 14", "e": "w + 5", "j": "e + 4", "t": "j + 11", "z": "t + 13", "v": "r + 5", "a": "v + 18", "p": "a + 19", "l": "p + 13", "y": "l + 18", "d": "y + 19", "r": 12}, "premises": {"r": 12}, "target": "z"}, "answer": {"steps": [["t", "j + 11", "j + 24"], ["j", "e + 4", "e + 28"], ["e", "w + 5", "w + 33"], ["w", "o + 14", "o + 47"], ["o", "r + 8", "r + 55"], ["r", 12, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"r": 12}, "is_reverse": true}} | 11,851 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = r + 8; j = e + 4; w = o + 14; e = w + 5; a = v + 18; p = a + 19; v = r + 5; d = y + 19; l = p + 13; r = 12; t = j + 11; y = l + 18; z = t + 13. Given that r = 12, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 11 to z, which gives z = j + 24.\n2. Substitute j = e + 4 to z, which gives z = e + 28.\n3. Substitute e = w + 5 to z, which gives z = w + 33.\n4. Substitute w = o + 14 to z, which gives z = o + 47.\n5. Substitute o = r + 8 to z, which gives z = r + 55.\n6. Substitute r = 12 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 11851,
"question": "Suppose a collection of variables is related by the following definitions: o = r + 8; j = e + 4; w = o + 14; e = w + 5; a = v + 18; p = a + 19; v = r + 5; d = y + 19; l = p + 13; r = 12; t = j + 11; y = l + 18; z = t + 13. Given that r = 12, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"e": "h + 8", "k": "e + 10", "y": "k + 3", "p": "y + 15", "c": "p + 4", "a": "c + 20", "u": "h + 17", "w": "u + 2", "z": "w + 15", "m": "z + 1", "n": "m + 13", "i": "n + 19", "h": 16}, "premises": {"h": 16}, "target": "a"}, "answer": {"steps": [["c", "p + 4", "p + 24"], ["p", "y + 15", "y + 39"], ["y", "k + 3", "k + 42"], ["k", "e + 10", "e + 52"], ["e", "h + 8", "h + 60"], ["h", 16, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"h": 16}, "is_reverse": true}} | 11,852 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = z + 1; y = k + 3; p = y + 15; n = m + 13; k = e + 10; e = h + 8; a = c + 20; w = u + 2; c = p + 4; h = 16; z = w + 15; u = h + 17; i = n + 19. If h = 16, 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 c = p + 4 to a, which gives a = p + 24.\n2. Substitute p = y + 15 to a, which gives a = y + 39.\n3. Substitute y = k + 3 to a, which gives a = k + 42.\n4. Substitute k = e + 10 to a, which gives a = e + 52.\n5. Substitute e = h + 8 to a, which gives a = h + 60.\n6. Substitute h = 16 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 11852,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = z + 1; y = k + 3; p = y + 15; n = m + 13; k = e + 10; e = h + 8; a = c + 20; w = u + 2; c = p + 4; h = 16; z = w + 15; u = h + 17; i = n + 19. If h = 16, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 18", "b": "h + 4", "c": "b + 8", "x": "c + 9", "m": "x + 15", "i": "m + 20", "w": "l + 12", "q": "w + 1", "t": "q + 14", "d": "t + 6", "j": "d + 16", "o": "j + 8", "l": 19}, "premises": {"l": 19}, "target": "i"}, "answer": {"steps": [["m", "x + 15", "x + 35"], ["x", "c + 9", "c + 44"], ["c", "b + 8", "b + 52"], ["b", "h + 4", "h + 56"], ["h", "l + 18", "l + 74"], ["l", 19, "93"]], "target_var_name": "i", "target_value": 93, "value_dict": {"l": 19}, "is_reverse": true}} | 11,853 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 16; q = w + 1; h = l + 18; t = q + 14; l = 19; x = c + 9; w = l + 12; b = h + 4; i = m + 20; m = x + 15; o = j + 8; d = t + 6; c = b + 8. If l = 19, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 15 to i, which gives i = x + 35.\n2. Substitute x = c + 9 to i, which gives i = c + 44.\n3. Substitute c = b + 8 to i, which gives i = b + 52.\n4. Substitute b = h + 4 to i, which gives i = h + 56.\n5. Substitute h = l + 18 to i, which gives i = l + 74.\n6. Substitute l = 19 to i, which gives i = 93.\n\nThus, the final answer is i = \\boxed{93}.",
"index": 11853,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 16; q = w + 1; h = l + 18; t = q + 14; l = 19; x = c + 9; w = l + 12; b = h + 4; i = m + 20; m = x + 15; o = j + 8; d = t + 6; c = b + 8. If l = 19, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 10", "u": "i + 12", "p": "u + 13", "q": "p + 12", "t": "q + 13", "a": "t + 6", "g": "c + 6", "y": "g + 6", "w": "y + 5", "r": "w + 20", "j": "r + 16", "l": "j + 2", "c": 1}, "premises": {"c": 1}, "target": "a"}, "answer": {"steps": [["t", "q + 13", "q + 19"], ["q", "p + 12", "p + 31"], ["p", "u + 13", "u + 44"], ["u", "i + 12", "i + 56"], ["i", "c + 10", "c + 66"], ["c", 1, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"c": 1}, "is_reverse": true}} | 11,854 | 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 = g + 6; a = t + 6; p = u + 13; w = y + 5; l = j + 2; g = c + 6; c = 1; i = c + 10; q = p + 12; u = i + 12; r = w + 20; j = r + 16; t = q + 13. If c = 1, what is the resulting 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 t = q + 13 to a, which gives a = q + 19.\n2. Substitute q = p + 12 to a, which gives a = p + 31.\n3. Substitute p = u + 13 to a, which gives a = u + 44.\n4. Substitute u = i + 12 to a, which gives a = i + 56.\n5. Substitute i = c + 10 to a, which gives a = c + 66.\n6. Substitute c = 1 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 11854,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = g + 6; a = t + 6; p = u + 13; w = y + 5; l = j + 2; g = c + 6; c = 1; i = c + 10; q = p + 12; u = i + 12; r = w + 20; j = r + 16; t = q + 13. If c = 1, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"y": "x + 9", "i": "y + 13", "e": "i + 5", "w": "e + 2", "h": "w + 14", "b": "h + 2", "o": "x + 14", "j": "o + 11", "v": "j + 6", "f": "v + 2", "r": "f + 5", "q": "r + 11", "x": 2}, "premises": {"x": 2}, "target": "b"}, "answer": {"steps": [["h", "w + 14", "w + 16"], ["w", "e + 2", "e + 18"], ["e", "i + 5", "i + 23"], ["i", "y + 13", "y + 36"], ["y", "x + 9", "x + 45"], ["x", 2, "47"]], "target_var_name": "b", "target_value": 47, "value_dict": {"x": 2}, "is_reverse": true}} | 11,855 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = v + 2; o = x + 14; x = 2; q = r + 11; y = x + 9; i = y + 13; b = h + 2; w = e + 2; e = i + 5; h = w + 14; r = f + 5; j = o + 11; v = j + 6. If x = 2, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 14 to b, which gives b = w + 16.\n2. Substitute w = e + 2 to b, which gives b = e + 18.\n3. Substitute e = i + 5 to b, which gives b = i + 23.\n4. Substitute i = y + 13 to b, which gives b = y + 36.\n5. Substitute y = x + 9 to b, which gives b = x + 45.\n6. Substitute x = 2 to b, which gives b = 47.\n\nThus, the final answer is b = \\boxed{47}.",
"index": 11855,
"question": "Consider a system of variables where each variable is defined as follows: f = v + 2; o = x + 14; x = 2; q = r + 11; y = x + 9; i = y + 13; b = h + 2; w = e + 2; e = i + 5; h = w + 14; r = f + 5; j = o + 11; v = j + 6. If x = 2, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 11", "x": "t + 9", "g": "x + 18", "v": "g + 3", "o": "v + 8", "u": "o + 17", "i": "w + 14", "j": "i + 16", "z": "j + 3", "p": "z + 15", "k": "p + 11", "y": "k + 4", "w": 2}, "premises": {"w": 2}, "target": "u"}, "answer": {"steps": [["o", "v + 8", "v + 25"], ["v", "g + 3", "g + 28"], ["g", "x + 18", "x + 46"], ["x", "t + 9", "t + 55"], ["t", "w + 11", "w + 66"], ["w", 2, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"w": 2}, "is_reverse": true}} | 11,856 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = k + 4; p = z + 15; g = x + 18; k = p + 11; u = o + 17; t = w + 11; i = w + 14; z = j + 3; w = 2; v = g + 3; j = i + 16; x = t + 9; o = v + 8. If w = 2, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 8 to u, which gives u = v + 25.\n2. Substitute v = g + 3 to u, which gives u = g + 28.\n3. Substitute g = x + 18 to u, which gives u = x + 46.\n4. Substitute x = t + 9 to u, which gives u = t + 55.\n5. Substitute t = w + 11 to u, which gives u = w + 66.\n6. Substitute w = 2 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 11856,
"question": "Consider a system of variables where each variable is defined as follows: y = k + 4; p = z + 15; g = x + 18; k = p + 11; u = o + 17; t = w + 11; i = w + 14; z = j + 3; w = 2; v = g + 3; j = i + 16; x = t + 9; o = v + 8. If w = 2, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 3", "w": "y + 4", "o": "w + 12", "z": "o + 9", "v": "z + 12", "n": "v + 14", "m": "h + 13", "d": "m + 12", "b": "d + 15", "u": "b + 14", "l": "u + 4", "t": "l + 13", "h": 11}, "premises": {"h": 11}, "target": "n"}, "answer": {"steps": [["v", "z + 12", "z + 26"], ["z", "o + 9", "o + 35"], ["o", "w + 12", "w + 47"], ["w", "y + 4", "y + 51"], ["y", "h + 3", "h + 54"], ["h", 11, "65"]], "target_var_name": "n", "target_value": 65, "value_dict": {"h": 11}, "is_reverse": true}} | 11,857 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = y + 4; n = v + 14; y = h + 3; b = d + 15; l = u + 4; h = 11; u = b + 14; v = z + 12; t = l + 13; z = o + 9; m = h + 13; d = m + 12; o = w + 12. If h = 11, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 12 to n, which gives n = z + 26.\n2. Substitute z = o + 9 to n, which gives n = o + 35.\n3. Substitute o = w + 12 to n, which gives n = w + 47.\n4. Substitute w = y + 4 to n, which gives n = y + 51.\n5. Substitute y = h + 3 to n, which gives n = h + 54.\n6. Substitute h = 11 to n, which gives n = 65.\n\nThus, the final answer is n = \\boxed{65}.",
"index": 11857,
"question": "Consider a system of variables where each variable is defined as follows: w = y + 4; n = v + 14; y = h + 3; b = d + 15; l = u + 4; h = 11; u = b + 14; v = z + 12; t = l + 13; z = o + 9; m = h + 13; d = m + 12; o = w + 12. If h = 11, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"i": "k + 1", "q": "i + 2", "n": "q + 2", "p": "n + 1", "b": "p + 8", "s": "b + 8", "a": "k + 11", "h": "a + 3", "g": "h + 16", "u": "g + 4", "j": "u + 16", "y": "j + 1", "k": 7}, "premises": {"k": 7}, "target": "s"}, "answer": {"steps": [["b", "p + 8", "p + 16"], ["p", "n + 1", "n + 17"], ["n", "q + 2", "q + 19"], ["q", "i + 2", "i + 21"], ["i", "k + 1", "k + 22"], ["k", 7, "29"]], "target_var_name": "s", "target_value": 29, "value_dict": {"k": 7}, "is_reverse": true}} | 11,858 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = k + 11; y = j + 1; s = b + 8; b = p + 8; g = h + 16; n = q + 2; j = u + 16; p = n + 1; k = 7; q = i + 2; h = a + 3; i = k + 1; u = g + 4. Given that k = 7, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 29,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 8 to s, which gives s = p + 16.\n2. Substitute p = n + 1 to s, which gives s = n + 17.\n3. Substitute n = q + 2 to s, which gives s = q + 19.\n4. Substitute q = i + 2 to s, which gives s = i + 21.\n5. Substitute i = k + 1 to s, which gives s = k + 22.\n6. Substitute k = 7 to s, which gives s = 29.\n\nThus, the final answer is s = \\boxed{29}.",
"index": 11858,
"question": "Suppose a collection of variables is related by the following definitions: a = k + 11; y = j + 1; s = b + 8; b = p + 8; g = h + 16; n = q + 2; j = u + 16; p = n + 1; k = 7; q = i + 2; h = a + 3; i = k + 1; u = g + 4. Given that k = 7, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 19", "j": "t + 5", "c": "j + 5", "s": "c + 7", "z": "s + 5", "n": "z + 10", "i": "k + 9", "r": "i + 20", "u": "r + 12", "q": "u + 17", "f": "q + 3", "p": "f + 2", "k": 20}, "premises": {"k": 20}, "target": "n"}, "answer": {"steps": [["z", "s + 5", "s + 15"], ["s", "c + 7", "c + 22"], ["c", "j + 5", "j + 27"], ["j", "t + 5", "t + 32"], ["t", "k + 19", "k + 51"], ["k", 20, "71"]], "target_var_name": "n", "target_value": 71, "value_dict": {"k": 20}, "is_reverse": true}} | 11,859 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = z + 10; q = u + 17; u = r + 12; p = f + 2; r = i + 20; s = c + 7; t = k + 19; c = j + 5; j = t + 5; k = 20; z = s + 5; i = k + 9; f = q + 3. Given that k = 20, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 5 to n, which gives n = s + 15.\n2. Substitute s = c + 7 to n, which gives n = c + 22.\n3. Substitute c = j + 5 to n, which gives n = j + 27.\n4. Substitute j = t + 5 to n, which gives n = t + 32.\n5. Substitute t = k + 19 to n, which gives n = k + 51.\n6. Substitute k = 20 to n, which gives n = 71.\n\nThus, the final answer is n = \\boxed{71}.",
"index": 11859,
"question": "Suppose a collection of variables is related by the following definitions: n = z + 10; q = u + 17; u = r + 12; p = f + 2; r = i + 20; s = c + 7; t = k + 19; c = j + 5; j = t + 5; k = 20; z = s + 5; i = k + 9; f = q + 3. Given that k = 20, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 5", "w": "j + 20", "v": "w + 1", "q": "v + 11", "f": "q + 2", "c": "f + 13", "r": "o + 11", "l": "r + 9", "i": "l + 18", "h": "i + 15", "n": "h + 1", "y": "n + 17", "o": 9}, "premises": {"o": 9}, "target": "c"}, "answer": {"steps": [["f", "q + 2", "q + 15"], ["q", "v + 11", "v + 26"], ["v", "w + 1", "w + 27"], ["w", "j + 20", "j + 47"], ["j", "o + 5", "o + 52"], ["o", 9, "61"]], "target_var_name": "c", "target_value": 61, "value_dict": {"o": 9}, "is_reverse": true}} | 11,860 | 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 = f + 13; f = q + 2; o = 9; l = r + 9; w = j + 20; r = o + 11; j = o + 5; n = h + 1; h = i + 15; v = w + 1; y = n + 17; q = v + 11; i = l + 18. If o = 9, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 2 to c, which gives c = q + 15.\n2. Substitute q = v + 11 to c, which gives c = v + 26.\n3. Substitute v = w + 1 to c, which gives c = w + 27.\n4. Substitute w = j + 20 to c, which gives c = j + 47.\n5. Substitute j = o + 5 to c, which gives c = o + 52.\n6. Substitute o = 9 to c, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 11860,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 13; f = q + 2; o = 9; l = r + 9; w = j + 20; r = o + 11; j = o + 5; n = h + 1; h = i + 15; v = w + 1; y = n + 17; q = v + 11; i = l + 18. If o = 9, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 1", "i": "d + 17", "o": "i + 12", "e": "o + 11", "f": "e + 7", "l": "f + 18", "k": "v + 12", "y": "k + 8", "a": "y + 18", "w": "a + 13", "p": "w + 10", "s": "p + 8", "v": 4}, "premises": {"v": 4}, "target": "l"}, "answer": {"steps": [["f", "e + 7", "e + 25"], ["e", "o + 11", "o + 36"], ["o", "i + 12", "i + 48"], ["i", "d + 17", "d + 65"], ["d", "v + 1", "v + 66"], ["v", 4, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"v": 4}, "is_reverse": true}} | 11,861 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = v + 12; o = i + 12; p = w + 10; e = o + 11; l = f + 18; d = v + 1; s = p + 8; w = a + 13; y = k + 8; f = e + 7; a = y + 18; v = 4; i = d + 17. If v = 4, determine 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 f = e + 7 to l, which gives l = e + 25.\n2. Substitute e = o + 11 to l, which gives l = o + 36.\n3. Substitute o = i + 12 to l, which gives l = i + 48.\n4. Substitute i = d + 17 to l, which gives l = d + 65.\n5. Substitute d = v + 1 to l, which gives l = v + 66.\n6. Substitute v = 4 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 11861,
"question": "Consider a system of variables where each variable is defined as follows: k = v + 12; o = i + 12; p = w + 10; e = o + 11; l = f + 18; d = v + 1; s = p + 8; w = a + 13; y = k + 8; f = e + 7; a = y + 18; v = 4; i = d + 17. If v = 4, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "p + 6", "n": "z + 18", "r": "n + 11", "v": "r + 12", "h": "v + 17", "e": "h + 20", "b": "p + 15", "j": "b + 4", "d": "j + 2", "i": "d + 13", "g": "i + 6", "m": "g + 9", "p": 14}, "premises": {"p": 14}, "target": "e"}, "answer": {"steps": [["h", "v + 17", "v + 37"], ["v", "r + 12", "r + 49"], ["r", "n + 11", "n + 60"], ["n", "z + 18", "z + 78"], ["z", "p + 6", "p + 84"], ["p", 14, "98"]], "target_var_name": "e", "target_value": 98, "value_dict": {"p": 14}, "is_reverse": true}} | 11,862 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = p + 15; p = 14; m = g + 9; r = n + 11; i = d + 13; h = v + 17; n = z + 18; j = b + 4; g = i + 6; d = j + 2; z = p + 6; e = h + 20; v = r + 12. Given that p = 14, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 17 to e, which gives e = v + 37.\n2. Substitute v = r + 12 to e, which gives e = r + 49.\n3. Substitute r = n + 11 to e, which gives e = n + 60.\n4. Substitute n = z + 18 to e, which gives e = z + 78.\n5. Substitute z = p + 6 to e, which gives e = p + 84.\n6. Substitute p = 14 to e, which gives e = 98.\n\nThus, the final answer is e = \\boxed{98}.",
"index": 11862,
"question": "Suppose a collection of variables is related by the following definitions: b = p + 15; p = 14; m = g + 9; r = n + 11; i = d + 13; h = v + 17; n = z + 18; j = b + 4; g = i + 6; d = j + 2; z = p + 6; e = h + 20; v = r + 12. Given that p = 14, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 11", "p": "z + 18", "m": "p + 20", "w": "m + 9", "h": "w + 5", "r": "h + 4", "l": "d + 20", "x": "l + 17", "i": "x + 10", "f": "i + 16", "j": "f + 2", "a": "j + 14", "d": 8}, "premises": {"d": 8}, "target": "r"}, "answer": {"steps": [["h", "w + 5", "w + 9"], ["w", "m + 9", "m + 18"], ["m", "p + 20", "p + 38"], ["p", "z + 18", "z + 56"], ["z", "d + 11", "d + 67"], ["d", 8, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"d": 8}, "is_reverse": true}} | 11,863 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = h + 4; p = z + 18; h = w + 5; w = m + 9; j = f + 2; f = i + 16; z = d + 11; i = x + 10; x = l + 17; l = d + 20; a = j + 14; d = 8; m = p + 20. If d = 8, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 5 to r, which gives r = w + 9.\n2. Substitute w = m + 9 to r, which gives r = m + 18.\n3. Substitute m = p + 20 to r, which gives r = p + 38.\n4. Substitute p = z + 18 to r, which gives r = z + 56.\n5. Substitute z = d + 11 to r, which gives r = d + 67.\n6. Substitute d = 8 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 11863,
"question": "Consider a system of variables where each variable is defined as follows: r = h + 4; p = z + 18; h = w + 5; w = m + 9; j = f + 2; f = i + 16; z = d + 11; i = x + 10; x = l + 17; l = d + 20; a = j + 14; d = 8; m = p + 20. If d = 8, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 9", "u": "c + 7", "o": "u + 20", "y": "o + 9", "f": "y + 15", "m": "f + 12", "l": "v + 16", "s": "l + 9", "q": "s + 16", "z": "q + 12", "n": "z + 5", "x": "n + 2", "v": 8}, "premises": {"v": 8}, "target": "m"}, "answer": {"steps": [["f", "y + 15", "y + 27"], ["y", "o + 9", "o + 36"], ["o", "u + 20", "u + 56"], ["u", "c + 7", "c + 63"], ["c", "v + 9", "v + 72"], ["v", 8, "80"]], "target_var_name": "m", "target_value": 80, "value_dict": {"v": 8}, "is_reverse": true}} | 11,864 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = s + 16; x = n + 2; f = y + 15; z = q + 12; v = 8; c = v + 9; m = f + 12; s = l + 9; o = u + 20; n = z + 5; y = o + 9; l = v + 16; u = c + 7. Given that v = 8, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 15 to m, which gives m = y + 27.\n2. Substitute y = o + 9 to m, which gives m = o + 36.\n3. Substitute o = u + 20 to m, which gives m = u + 56.\n4. Substitute u = c + 7 to m, which gives m = c + 63.\n5. Substitute c = v + 9 to m, which gives m = v + 72.\n6. Substitute v = 8 to m, which gives m = 80.\n\nThus, the final answer is m = \\boxed{80}.",
"index": 11864,
"question": "Suppose a collection of variables is related by the following definitions: q = s + 16; x = n + 2; f = y + 15; z = q + 12; v = 8; c = v + 9; m = f + 12; s = l + 9; o = u + 20; n = z + 5; y = o + 9; l = v + 16; u = c + 7. Given that v = 8, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 15", "v": "k + 16", "a": "v + 17", "g": "a + 10", "h": "g + 3", "z": "h + 18", "l": "u + 1", "i": "l + 19", "b": "i + 15", "o": "b + 10", "t": "o + 10", "d": "t + 16", "u": 12}, "premises": {"u": 12}, "target": "z"}, "answer": {"steps": [["h", "g + 3", "g + 21"], ["g", "a + 10", "a + 31"], ["a", "v + 17", "v + 48"], ["v", "k + 16", "k + 64"], ["k", "u + 15", "u + 79"], ["u", 12, "91"]], "target_var_name": "z", "target_value": 91, "value_dict": {"u": 12}, "is_reverse": true}} | 11,865 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = g + 3; i = l + 19; t = o + 10; v = k + 16; d = t + 16; o = b + 10; b = i + 15; g = a + 10; u = 12; a = v + 17; z = h + 18; k = u + 15; l = u + 1. Given that u = 12, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 3 to z, which gives z = g + 21.\n2. Substitute g = a + 10 to z, which gives z = a + 31.\n3. Substitute a = v + 17 to z, which gives z = v + 48.\n4. Substitute v = k + 16 to z, which gives z = k + 64.\n5. Substitute k = u + 15 to z, which gives z = u + 79.\n6. Substitute u = 12 to z, which gives z = 91.\n\nThus, the final answer is z = \\boxed{91}.",
"index": 11865,
"question": "Suppose a collection of variables is related by the following definitions: h = g + 3; i = l + 19; t = o + 10; v = k + 16; d = t + 16; o = b + 10; b = i + 15; g = a + 10; u = 12; a = v + 17; z = h + 18; k = u + 15; l = u + 1. Given that u = 12, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 17", "l": "s + 1", "y": "l + 4", "m": "y + 17", "x": "m + 11", "d": "x + 20", "w": "r + 14", "n": "w + 17", "v": "n + 1", "k": "v + 10", "z": "k + 7", "o": "z + 18", "r": 17}, "premises": {"r": 17}, "target": "d"}, "answer": {"steps": [["x", "m + 11", "m + 31"], ["m", "y + 17", "y + 48"], ["y", "l + 4", "l + 52"], ["l", "s + 1", "s + 53"], ["s", "r + 17", "r + 70"], ["r", 17, "87"]], "target_var_name": "d", "target_value": 87, "value_dict": {"r": 17}, "is_reverse": true}} | 11,866 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = s + 1; d = x + 20; v = n + 1; y = l + 4; z = k + 7; o = z + 18; k = v + 10; n = w + 17; r = 17; x = m + 11; s = r + 17; m = y + 17; w = r + 14. Given that r = 17, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 11 to d, which gives d = m + 31.\n2. Substitute m = y + 17 to d, which gives d = y + 48.\n3. Substitute y = l + 4 to d, which gives d = l + 52.\n4. Substitute l = s + 1 to d, which gives d = s + 53.\n5. Substitute s = r + 17 to d, which gives d = r + 70.\n6. Substitute r = 17 to d, which gives d = 87.\n\nThus, the final answer is d = \\boxed{87}.",
"index": 11866,
"question": "Suppose a collection of variables is related by the following definitions: l = s + 1; d = x + 20; v = n + 1; y = l + 4; z = k + 7; o = z + 18; k = v + 10; n = w + 17; r = 17; x = m + 11; s = r + 17; m = y + 17; w = r + 14. Given that r = 17, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 15", "q": "z + 9", "d": "q + 8", "t": "d + 1", "u": "t + 13", "i": "u + 17", "x": "f + 7", "s": "x + 16", "e": "s + 8", "h": "e + 3", "a": "h + 20", "r": "a + 15", "f": 10}, "premises": {"f": 10}, "target": "i"}, "answer": {"steps": [["u", "t + 13", "t + 30"], ["t", "d + 1", "d + 31"], ["d", "q + 8", "q + 39"], ["q", "z + 9", "z + 48"], ["z", "f + 15", "f + 63"], ["f", 10, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"f": 10}, "is_reverse": true}} | 11,867 | 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 = t + 13; d = q + 8; q = z + 9; h = e + 3; r = a + 15; f = 10; e = s + 8; s = x + 16; x = f + 7; a = h + 20; t = d + 1; i = u + 17; z = f + 15. If f = 10, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 13 to i, which gives i = t + 30.\n2. Substitute t = d + 1 to i, which gives i = d + 31.\n3. Substitute d = q + 8 to i, which gives i = q + 39.\n4. Substitute q = z + 9 to i, which gives i = z + 48.\n5. Substitute z = f + 15 to i, which gives i = f + 63.\n6. Substitute f = 10 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 11867,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = t + 13; d = q + 8; q = z + 9; h = e + 3; r = a + 15; f = 10; e = s + 8; s = x + 16; x = f + 7; a = h + 20; t = d + 1; i = u + 17; z = f + 15. If f = 10, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 2", "d": "h + 1", "k": "d + 5", "m": "k + 11", "z": "m + 14", "o": "z + 1", "b": "p + 7", "n": "b + 18", "i": "n + 13", "l": "i + 20", "u": "l + 12", "x": "u + 16", "p": 6}, "premises": {"p": 6}, "target": "o"}, "answer": {"steps": [["z", "m + 14", "m + 15"], ["m", "k + 11", "k + 26"], ["k", "d + 5", "d + 31"], ["d", "h + 1", "h + 32"], ["h", "p + 2", "p + 34"], ["p", 6, "40"]], "target_var_name": "o", "target_value": 40, "value_dict": {"p": 6}, "is_reverse": true}} | 11,868 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = b + 18; k = d + 5; m = k + 11; h = p + 2; u = l + 12; i = n + 13; o = z + 1; d = h + 1; l = i + 20; p = 6; x = u + 16; z = m + 14; b = p + 7. Given that p = 6, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 14 to o, which gives o = m + 15.\n2. Substitute m = k + 11 to o, which gives o = k + 26.\n3. Substitute k = d + 5 to o, which gives o = d + 31.\n4. Substitute d = h + 1 to o, which gives o = h + 32.\n5. Substitute h = p + 2 to o, which gives o = p + 34.\n6. Substitute p = 6 to o, which gives o = 40.\n\nThus, the final answer is o = \\boxed{40}.",
"index": 11868,
"question": "Suppose a collection of variables is related by the following definitions: n = b + 18; k = d + 5; m = k + 11; h = p + 2; u = l + 12; i = n + 13; o = z + 1; d = h + 1; l = i + 20; p = 6; x = u + 16; z = m + 14; b = p + 7. Given that p = 6, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 9", "k": "u + 19", "y": "k + 14", "s": "y + 11", "f": "s + 19", "p": "f + 6", "h": "d + 14", "n": "h + 6", "a": "n + 2", "z": "a + 2", "x": "z + 13", "o": "x + 18", "d": 1}, "premises": {"d": 1}, "target": "p"}, "answer": {"steps": [["f", "s + 19", "s + 25"], ["s", "y + 11", "y + 36"], ["y", "k + 14", "k + 50"], ["k", "u + 19", "u + 69"], ["u", "d + 9", "d + 78"], ["d", 1, "79"]], "target_var_name": "p", "target_value": 79, "value_dict": {"d": 1}, "is_reverse": true}} | 11,869 | 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 = 1; s = y + 11; k = u + 19; a = n + 2; y = k + 14; h = d + 14; n = h + 6; f = s + 19; o = x + 18; z = a + 2; x = z + 13; u = d + 9; p = f + 6. If d = 1, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 19 to p, which gives p = s + 25.\n2. Substitute s = y + 11 to p, which gives p = y + 36.\n3. Substitute y = k + 14 to p, which gives p = k + 50.\n4. Substitute k = u + 19 to p, which gives p = u + 69.\n5. Substitute u = d + 9 to p, which gives p = d + 78.\n6. Substitute d = 1 to p, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 11869,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 1; s = y + 11; k = u + 19; a = n + 2; y = k + 14; h = d + 14; n = h + 6; f = s + 19; o = x + 18; z = a + 2; x = z + 13; u = d + 9; p = f + 6. If d = 1, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 1", "q": "a + 9", "v": "q + 6", "r": "v + 14", "d": "r + 4", "w": "d + 2", "b": "h + 11", "z": "b + 9", "p": "z + 9", "l": "p + 14", "f": "l + 20", "y": "f + 3", "h": 11}, "premises": {"h": 11}, "target": "w"}, "answer": {"steps": [["d", "r + 4", "r + 6"], ["r", "v + 14", "v + 20"], ["v", "q + 6", "q + 26"], ["q", "a + 9", "a + 35"], ["a", "h + 1", "h + 36"], ["h", 11, "47"]], "target_var_name": "w", "target_value": 47, "value_dict": {"h": 11}, "is_reverse": true}} | 11,870 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = h + 1; z = b + 9; q = a + 9; v = q + 6; w = d + 2; p = z + 9; y = f + 3; h = 11; b = h + 11; d = r + 4; r = v + 14; f = l + 20; l = p + 14. Given that h = 11, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 4 to w, which gives w = r + 6.\n2. Substitute r = v + 14 to w, which gives w = v + 20.\n3. Substitute v = q + 6 to w, which gives w = q + 26.\n4. Substitute q = a + 9 to w, which gives w = a + 35.\n5. Substitute a = h + 1 to w, which gives w = h + 36.\n6. Substitute h = 11 to w, which gives w = 47.\n\nThus, the final answer is w = \\boxed{47}.",
"index": 11870,
"question": "Suppose a collection of variables is related by the following definitions: a = h + 1; z = b + 9; q = a + 9; v = q + 6; w = d + 2; p = z + 9; y = f + 3; h = 11; b = h + 11; d = r + 4; r = v + 14; f = l + 20; l = p + 14. Given that h = 11, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 4", "h": "n + 9", "k": "h + 12", "w": "k + 7", "u": "w + 7", "j": "u + 16", "o": "d + 16", "m": "o + 18", "v": "m + 10", "c": "v + 6", "g": "c + 10", "b": "g + 19", "d": 3}, "premises": {"d": 3}, "target": "j"}, "answer": {"steps": [["u", "w + 7", "w + 23"], ["w", "k + 7", "k + 30"], ["k", "h + 12", "h + 42"], ["h", "n + 9", "n + 51"], ["n", "d + 4", "d + 55"], ["d", 3, "58"]], "target_var_name": "j", "target_value": 58, "value_dict": {"d": 3}, "is_reverse": true}} | 11,871 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = d + 4; d = 3; c = v + 6; g = c + 10; w = k + 7; k = h + 12; j = u + 16; b = g + 19; o = d + 16; m = o + 18; u = w + 7; v = m + 10; h = n + 9. If d = 3, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 7 to j, which gives j = w + 23.\n2. Substitute w = k + 7 to j, which gives j = k + 30.\n3. Substitute k = h + 12 to j, which gives j = h + 42.\n4. Substitute h = n + 9 to j, which gives j = n + 51.\n5. Substitute n = d + 4 to j, which gives j = d + 55.\n6. Substitute d = 3 to j, which gives j = 58.\n\nThus, the final answer is j = \\boxed{58}.",
"index": 11871,
"question": "Consider a system of variables where each variable is defined as follows: n = d + 4; d = 3; c = v + 6; g = c + 10; w = k + 7; k = h + 12; j = u + 16; b = g + 19; o = d + 16; m = o + 18; u = w + 7; v = m + 10; h = n + 9. If d = 3, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 16", "p": "s + 14", "c": "p + 10", "i": "c + 10", "e": "i + 14", "h": "e + 12", "q": "w + 12", "r": "q + 13", "b": "r + 19", "l": "b + 3", "j": "l + 18", "o": "j + 13", "w": 9}, "premises": {"w": 9}, "target": "h"}, "answer": {"steps": [["e", "i + 14", "i + 26"], ["i", "c + 10", "c + 36"], ["c", "p + 10", "p + 46"], ["p", "s + 14", "s + 60"], ["s", "w + 16", "w + 76"], ["w", 9, "85"]], "target_var_name": "h", "target_value": 85, "value_dict": {"w": 9}, "is_reverse": true}} | 11,872 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = q + 13; o = j + 13; s = w + 16; l = b + 3; i = c + 10; h = e + 12; c = p + 10; e = i + 14; b = r + 19; w = 9; p = s + 14; j = l + 18; q = w + 12. If w = 9, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 14 to h, which gives h = i + 26.\n2. Substitute i = c + 10 to h, which gives h = c + 36.\n3. Substitute c = p + 10 to h, which gives h = p + 46.\n4. Substitute p = s + 14 to h, which gives h = s + 60.\n5. Substitute s = w + 16 to h, which gives h = w + 76.\n6. Substitute w = 9 to h, which gives h = 85.\n\nThus, the final answer is h = \\boxed{85}.",
"index": 11872,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = q + 13; o = j + 13; s = w + 16; l = b + 3; i = c + 10; h = e + 12; c = p + 10; e = i + 14; b = r + 19; w = 9; p = s + 14; j = l + 18; q = w + 12. If w = 9, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"e": "q + 14", "h": "e + 15", "d": "h + 13", "g": "d + 10", "k": "g + 9", "z": "k + 3", "r": "q + 13", "v": "r + 12", "m": "v + 15", "o": "m + 19", "i": "o + 9", "w": "i + 11", "q": 2}, "premises": {"q": 2}, "target": "z"}, "answer": {"steps": [["k", "g + 9", "g + 12"], ["g", "d + 10", "d + 22"], ["d", "h + 13", "h + 35"], ["h", "e + 15", "e + 50"], ["e", "q + 14", "q + 64"], ["q", 2, "66"]], "target_var_name": "z", "target_value": 66, "value_dict": {"q": 2}, "is_reverse": true}} | 11,873 | 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 = o + 9; q = 2; r = q + 13; d = h + 13; g = d + 10; w = i + 11; k = g + 9; e = q + 14; v = r + 12; o = m + 19; z = k + 3; m = v + 15; h = e + 15. If q = 2, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 9 to z, which gives z = g + 12.\n2. Substitute g = d + 10 to z, which gives z = d + 22.\n3. Substitute d = h + 13 to z, which gives z = h + 35.\n4. Substitute h = e + 15 to z, which gives z = e + 50.\n5. Substitute e = q + 14 to z, which gives z = q + 64.\n6. Substitute q = 2 to z, which gives z = 66.\n\nThus, the final answer is z = \\boxed{66}.",
"index": 11873,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 9; q = 2; r = q + 13; d = h + 13; g = d + 10; w = i + 11; k = g + 9; e = q + 14; v = r + 12; o = m + 19; z = k + 3; m = v + 15; h = e + 15. If q = 2, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 19", "k": "e + 5", "i": "k + 15", "y": "i + 8", "b": "y + 5", "o": "b + 10", "p": "r + 13", "a": "p + 7", "t": "a + 16", "c": "t + 20", "w": "c + 2", "j": "w + 14", "r": 17}, "premises": {"r": 17}, "target": "o"}, "answer": {"steps": [["b", "y + 5", "y + 15"], ["y", "i + 8", "i + 23"], ["i", "k + 15", "k + 38"], ["k", "e + 5", "e + 43"], ["e", "r + 19", "r + 62"], ["r", 17, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"r": 17}, "is_reverse": true}} | 11,874 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 2; k = e + 5; r = 17; j = w + 14; i = k + 15; c = t + 20; o = b + 10; y = i + 8; t = a + 16; a = p + 7; p = r + 13; b = y + 5; e = r + 19. If r = 17, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 5 to o, which gives o = y + 15.\n2. Substitute y = i + 8 to o, which gives o = i + 23.\n3. Substitute i = k + 15 to o, which gives o = k + 38.\n4. Substitute k = e + 5 to o, which gives o = e + 43.\n5. Substitute e = r + 19 to o, which gives o = r + 62.\n6. Substitute r = 17 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 11874,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 2; k = e + 5; r = 17; j = w + 14; i = k + 15; c = t + 20; o = b + 10; y = i + 8; t = a + 16; a = p + 7; p = r + 13; b = y + 5; e = r + 19. If r = 17, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 4", "k": "d + 15", "i": "k + 1", "q": "i + 11", "t": "q + 20", "v": "t + 10", "y": "j + 18", "x": "y + 20", "h": "x + 6", "n": "h + 2", "b": "n + 19", "a": "b + 9", "j": 2}, "premises": {"j": 2}, "target": "v"}, "answer": {"steps": [["t", "q + 20", "q + 30"], ["q", "i + 11", "i + 41"], ["i", "k + 1", "k + 42"], ["k", "d + 15", "d + 57"], ["d", "j + 4", "j + 61"], ["j", 2, "63"]], "target_var_name": "v", "target_value": 63, "value_dict": {"j": 2}, "is_reverse": true}} | 11,875 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = d + 15; b = n + 19; x = y + 20; d = j + 4; n = h + 2; v = t + 10; h = x + 6; i = k + 1; t = q + 20; a = b + 9; q = i + 11; y = j + 18; j = 2. If j = 2, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 20 to v, which gives v = q + 30.\n2. Substitute q = i + 11 to v, which gives v = i + 41.\n3. Substitute i = k + 1 to v, which gives v = k + 42.\n4. Substitute k = d + 15 to v, which gives v = d + 57.\n5. Substitute d = j + 4 to v, which gives v = j + 61.\n6. Substitute j = 2 to v, which gives v = 63.\n\nThus, the final answer is v = \\boxed{63}.",
"index": 11875,
"question": "Consider a system of variables where each variable is defined as follows: k = d + 15; b = n + 19; x = y + 20; d = j + 4; n = h + 2; v = t + 10; h = x + 6; i = k + 1; t = q + 20; a = b + 9; q = i + 11; y = j + 18; j = 2. If j = 2, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 15", "z": "k + 19", "c": "z + 6", "u": "c + 10", "r": "u + 11", "t": "r + 19", "w": "a + 3", "p": "w + 17", "e": "p + 2", "y": "e + 10", "x": "y + 11", "g": "x + 15", "a": 19}, "premises": {"a": 19}, "target": "t"}, "answer": {"steps": [["r", "u + 11", "u + 30"], ["u", "c + 10", "c + 40"], ["c", "z + 6", "z + 46"], ["z", "k + 19", "k + 65"], ["k", "a + 15", "a + 80"], ["a", 19, "99"]], "target_var_name": "t", "target_value": 99, "value_dict": {"a": 19}, "is_reverse": true}} | 11,876 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = a + 15; a = 19; x = y + 11; c = z + 6; y = e + 10; g = x + 15; u = c + 10; t = r + 19; z = k + 19; p = w + 17; e = p + 2; r = u + 11; w = a + 3. If a = 19, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 11 to t, which gives t = u + 30.\n2. Substitute u = c + 10 to t, which gives t = c + 40.\n3. Substitute c = z + 6 to t, which gives t = z + 46.\n4. Substitute z = k + 19 to t, which gives t = k + 65.\n5. Substitute k = a + 15 to t, which gives t = a + 80.\n6. Substitute a = 19 to t, which gives t = 99.\n\nThus, the final answer is t = \\boxed{99}.",
"index": 11876,
"question": "Consider a system of variables where each variable is defined as follows: k = a + 15; a = 19; x = y + 11; c = z + 6; y = e + 10; g = x + 15; u = c + 10; t = r + 19; z = k + 19; p = w + 17; e = p + 2; r = u + 11; w = a + 3. If a = 19, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 18", "z": "t + 19", "y": "z + 13", "p": "y + 7", "e": "p + 12", "h": "e + 7", "b": "x + 11", "k": "b + 13", "w": "k + 1", "m": "w + 3", "n": "m + 16", "d": "n + 4", "x": 4}, "premises": {"x": 4}, "target": "h"}, "answer": {"steps": [["e", "p + 12", "p + 19"], ["p", "y + 7", "y + 26"], ["y", "z + 13", "z + 39"], ["z", "t + 19", "t + 58"], ["t", "x + 18", "x + 76"], ["x", 4, "80"]], "target_var_name": "h", "target_value": 80, "value_dict": {"x": 4}, "is_reverse": true}} | 11,877 | 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 = x + 18; m = w + 3; x = 4; y = z + 13; k = b + 13; w = k + 1; b = x + 11; n = m + 16; p = y + 7; z = t + 19; e = p + 12; h = e + 7; d = n + 4. If x = 4, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 12 to h, which gives h = p + 19.\n2. Substitute p = y + 7 to h, which gives h = y + 26.\n3. Substitute y = z + 13 to h, which gives h = z + 39.\n4. Substitute z = t + 19 to h, which gives h = t + 58.\n5. Substitute t = x + 18 to h, which gives h = x + 76.\n6. Substitute x = 4 to h, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 11877,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = x + 18; m = w + 3; x = 4; y = z + 13; k = b + 13; w = k + 1; b = x + 11; n = m + 16; p = y + 7; z = t + 19; e = p + 12; h = e + 7; d = n + 4. If x = 4, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 20", "u": "n + 17", "s": "u + 20", "b": "s + 1", "g": "b + 14", "m": "g + 13", "t": "h + 9", "v": "t + 7", "x": "v + 7", "f": "x + 12", "p": "f + 13", "l": "p + 9", "h": 9}, "premises": {"h": 9}, "target": "m"}, "answer": {"steps": [["g", "b + 14", "b + 27"], ["b", "s + 1", "s + 28"], ["s", "u + 20", "u + 48"], ["u", "n + 17", "n + 65"], ["n", "h + 20", "h + 85"], ["h", 9, "94"]], "target_var_name": "m", "target_value": 94, "value_dict": {"h": 9}, "is_reverse": true}} | 11,878 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = g + 13; n = h + 20; f = x + 12; t = h + 9; l = p + 9; s = u + 20; u = n + 17; h = 9; x = v + 7; g = b + 14; v = t + 7; b = s + 1; p = f + 13. If h = 9, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 14 to m, which gives m = b + 27.\n2. Substitute b = s + 1 to m, which gives m = s + 28.\n3. Substitute s = u + 20 to m, which gives m = u + 48.\n4. Substitute u = n + 17 to m, which gives m = n + 65.\n5. Substitute n = h + 20 to m, which gives m = h + 85.\n6. Substitute h = 9 to m, which gives m = 94.\n\nThus, the final answer is m = \\boxed{94}.",
"index": 11878,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = g + 13; n = h + 20; f = x + 12; t = h + 9; l = p + 9; s = u + 20; u = n + 17; h = 9; x = v + 7; g = b + 14; v = t + 7; b = s + 1; p = f + 13. If h = 9, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 13", "g": "z + 4", "c": "g + 11", "r": "c + 1", "w": "r + 20", "l": "w + 11", "x": "b + 11", "o": "x + 20", "a": "o + 20", "u": "a + 19", "t": "u + 4", "s": "t + 5", "b": 19}, "premises": {"b": 19}, "target": "l"}, "answer": {"steps": [["w", "r + 20", "r + 31"], ["r", "c + 1", "c + 32"], ["c", "g + 11", "g + 43"], ["g", "z + 4", "z + 47"], ["z", "b + 13", "b + 60"], ["b", 19, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"b": 19}, "is_reverse": true}} | 11,879 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = t + 5; t = u + 4; g = z + 4; u = a + 19; o = x + 20; x = b + 11; l = w + 11; b = 19; z = b + 13; c = g + 11; w = r + 20; a = o + 20; r = c + 1. Given that b = 19, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 20 to l, which gives l = r + 31.\n2. Substitute r = c + 1 to l, which gives l = c + 32.\n3. Substitute c = g + 11 to l, which gives l = g + 43.\n4. Substitute g = z + 4 to l, which gives l = z + 47.\n5. Substitute z = b + 13 to l, which gives l = b + 60.\n6. Substitute b = 19 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 11879,
"question": "Suppose a collection of variables is related by the following definitions: s = t + 5; t = u + 4; g = z + 4; u = a + 19; o = x + 20; x = b + 11; l = w + 11; b = 19; z = b + 13; c = g + 11; w = r + 20; a = o + 20; r = c + 1. Given that b = 19, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"k": "w + 3", "v": "k + 16", "f": "v + 1", "g": "f + 8", "i": "g + 6", "x": "i + 15", "y": "w + 11", "b": "y + 16", "s": "b + 7", "u": "s + 6", "r": "u + 20", "j": "r + 7", "w": 15}, "premises": {"w": 15}, "target": "x"}, "answer": {"steps": [["i", "g + 6", "g + 21"], ["g", "f + 8", "f + 29"], ["f", "v + 1", "v + 30"], ["v", "k + 16", "k + 46"], ["k", "w + 3", "w + 49"], ["w", 15, "64"]], "target_var_name": "x", "target_value": 64, "value_dict": {"w": 15}, "is_reverse": true}} | 11,880 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = y + 16; s = b + 7; j = r + 7; r = u + 20; k = w + 3; w = 15; g = f + 8; f = v + 1; y = w + 11; i = g + 6; u = s + 6; x = i + 15; v = k + 16. If w = 15, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 6 to x, which gives x = g + 21.\n2. Substitute g = f + 8 to x, which gives x = f + 29.\n3. Substitute f = v + 1 to x, which gives x = v + 30.\n4. Substitute v = k + 16 to x, which gives x = k + 46.\n5. Substitute k = w + 3 to x, which gives x = w + 49.\n6. Substitute w = 15 to x, which gives x = 64.\n\nThus, the final answer is x = \\boxed{64}.",
"index": 11880,
"question": "Consider a system of variables where each variable is defined as follows: b = y + 16; s = b + 7; j = r + 7; r = u + 20; k = w + 3; w = 15; g = f + 8; f = v + 1; y = w + 11; i = g + 6; u = s + 6; x = i + 15; v = k + 16. If w = 15, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"m": "j + 6", "r": "m + 17", "c": "r + 15", "a": "c + 18", "s": "a + 9", "o": "s + 10", "f": "j + 11", "i": "f + 15", "d": "i + 20", "x": "d + 14", "b": "x + 10", "n": "b + 12", "j": 15}, "premises": {"j": 15}, "target": "o"}, "answer": {"steps": [["s", "a + 9", "a + 19"], ["a", "c + 18", "c + 37"], ["c", "r + 15", "r + 52"], ["r", "m + 17", "m + 69"], ["m", "j + 6", "j + 75"], ["j", 15, "90"]], "target_var_name": "o", "target_value": 90, "value_dict": {"j": 15}, "is_reverse": true}} | 11,881 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 9; n = b + 12; c = r + 15; a = c + 18; m = j + 6; f = j + 11; j = 15; i = f + 15; r = m + 17; x = d + 14; d = i + 20; b = x + 10; o = s + 10. If j = 15, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 9 to o, which gives o = a + 19.\n2. Substitute a = c + 18 to o, which gives o = c + 37.\n3. Substitute c = r + 15 to o, which gives o = r + 52.\n4. Substitute r = m + 17 to o, which gives o = m + 69.\n5. Substitute m = j + 6 to o, which gives o = j + 75.\n6. Substitute j = 15 to o, which gives o = 90.\n\nThus, the final answer is o = \\boxed{90}.",
"index": 11881,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 9; n = b + 12; c = r + 15; a = c + 18; m = j + 6; f = j + 11; j = 15; i = f + 15; r = m + 17; x = d + 14; d = i + 20; b = x + 10; o = s + 10. If j = 15, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 20", "o": "k + 20", "y": "o + 8", "b": "y + 19", "v": "b + 9", "p": "v + 14", "l": "c + 12", "e": "l + 4", "q": "e + 20", "x": "q + 7", "a": "x + 15", "h": "a + 13", "c": 20}, "premises": {"c": 20}, "target": "p"}, "answer": {"steps": [["v", "b + 9", "b + 23"], ["b", "y + 19", "y + 42"], ["y", "o + 8", "o + 50"], ["o", "k + 20", "k + 70"], ["k", "c + 20", "c + 90"], ["c", 20, "110"]], "target_var_name": "p", "target_value": 110, "value_dict": {"c": 20}, "is_reverse": true}} | 11,882 | 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 = o + 8; v = b + 9; e = l + 4; b = y + 19; o = k + 20; k = c + 20; c = 20; q = e + 20; a = x + 15; l = c + 12; x = q + 7; p = v + 14; h = a + 13. If c = 20, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 9 to p, which gives p = b + 23.\n2. Substitute b = y + 19 to p, which gives p = y + 42.\n3. Substitute y = o + 8 to p, which gives p = o + 50.\n4. Substitute o = k + 20 to p, which gives p = k + 70.\n5. Substitute k = c + 20 to p, which gives p = c + 90.\n6. Substitute c = 20 to p, which gives p = 110.\n\nThus, the final answer is p = \\boxed{110}.",
"index": 11882,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 8; v = b + 9; e = l + 4; b = y + 19; o = k + 20; k = c + 20; c = 20; q = e + 20; a = x + 15; l = c + 12; x = q + 7; p = v + 14; h = a + 13. If c = 20, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"n": "w + 16", "i": "n + 7", "t": "i + 3", "m": "t + 15", "c": "m + 3", "q": "c + 2", "v": "w + 7", "j": "v + 4", "f": "j + 8", "e": "f + 20", "s": "e + 18", "y": "s + 20", "w": 14}, "premises": {"w": 14}, "target": "q"}, "answer": {"steps": [["c", "m + 3", "m + 5"], ["m", "t + 15", "t + 20"], ["t", "i + 3", "i + 23"], ["i", "n + 7", "n + 30"], ["n", "w + 16", "w + 46"], ["w", 14, "60"]], "target_var_name": "q", "target_value": 60, "value_dict": {"w": 14}, "is_reverse": true}} | 11,883 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = v + 4; y = s + 20; f = j + 8; m = t + 15; s = e + 18; v = w + 7; i = n + 7; c = m + 3; e = f + 20; w = 14; n = w + 16; t = i + 3; q = c + 2. Given that w = 14, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 3 to q, which gives q = m + 5.\n2. Substitute m = t + 15 to q, which gives q = t + 20.\n3. Substitute t = i + 3 to q, which gives q = i + 23.\n4. Substitute i = n + 7 to q, which gives q = n + 30.\n5. Substitute n = w + 16 to q, which gives q = w + 46.\n6. Substitute w = 14 to q, which gives q = 60.\n\nThus, the final answer is q = \\boxed{60}.",
"index": 11883,
"question": "Suppose a collection of variables is related by the following definitions: j = v + 4; y = s + 20; f = j + 8; m = t + 15; s = e + 18; v = w + 7; i = n + 7; c = m + 3; e = f + 20; w = 14; n = w + 16; t = i + 3; q = c + 2. Given that w = 14, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 12", "f": "n + 1", "b": "f + 10", "u": "b + 2", "t": "u + 12", "q": "t + 12", "x": "l + 19", "y": "x + 13", "c": "y + 19", "m": "c + 13", "w": "m + 1", "v": "w + 12", "l": 10}, "premises": {"l": 10}, "target": "q"}, "answer": {"steps": [["t", "u + 12", "u + 24"], ["u", "b + 2", "b + 26"], ["b", "f + 10", "f + 36"], ["f", "n + 1", "n + 37"], ["n", "l + 12", "l + 49"], ["l", 10, "59"]], "target_var_name": "q", "target_value": 59, "value_dict": {"l": 10}, "is_reverse": true}} | 11,884 | 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 = n + 1; n = l + 12; b = f + 10; u = b + 2; t = u + 12; v = w + 12; m = c + 13; x = l + 19; y = x + 13; w = m + 1; q = t + 12; l = 10; c = y + 19. If l = 10, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 12 to q, which gives q = u + 24.\n2. Substitute u = b + 2 to q, which gives q = b + 26.\n3. Substitute b = f + 10 to q, which gives q = f + 36.\n4. Substitute f = n + 1 to q, which gives q = n + 37.\n5. Substitute n = l + 12 to q, which gives q = l + 49.\n6. Substitute l = 10 to q, which gives q = 59.\n\nThus, the final answer is q = \\boxed{59}.",
"index": 11884,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = n + 1; n = l + 12; b = f + 10; u = b + 2; t = u + 12; v = w + 12; m = c + 13; x = l + 19; y = x + 13; w = m + 1; q = t + 12; l = 10; c = y + 19. If l = 10, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 13", "m": "o + 16", "n": "m + 7", "a": "n + 10", "v": "a + 11", "x": "v + 15", "s": "f + 5", "b": "s + 20", "d": "b + 13", "u": "d + 4", "w": "u + 5", "e": "w + 10", "f": 3}, "premises": {"f": 3}, "target": "x"}, "answer": {"steps": [["v", "a + 11", "a + 26"], ["a", "n + 10", "n + 36"], ["n", "m + 7", "m + 43"], ["m", "o + 16", "o + 59"], ["o", "f + 13", "f + 72"], ["f", 3, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"f": 3}, "is_reverse": true}} | 11,885 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = v + 15; o = f + 13; b = s + 20; e = w + 10; s = f + 5; f = 3; w = u + 5; v = a + 11; m = o + 16; a = n + 10; u = d + 4; d = b + 13; n = m + 7. If f = 3, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 11 to x, which gives x = a + 26.\n2. Substitute a = n + 10 to x, which gives x = n + 36.\n3. Substitute n = m + 7 to x, which gives x = m + 43.\n4. Substitute m = o + 16 to x, which gives x = o + 59.\n5. Substitute o = f + 13 to x, which gives x = f + 72.\n6. Substitute f = 3 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 11885,
"question": "Consider a system of variables where each variable is defined as follows: x = v + 15; o = f + 13; b = s + 20; e = w + 10; s = f + 5; f = 3; w = u + 5; v = a + 11; m = o + 16; a = n + 10; u = d + 4; d = b + 13; n = m + 7. If f = 3, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"q": "t + 19", "g": "q + 11", "a": "g + 16", "w": "a + 15", "r": "w + 18", "j": "r + 8", "u": "t + 14", "p": "u + 13", "s": "p + 7", "m": "s + 8", "i": "m + 12", "o": "i + 14", "t": 3}, "premises": {"t": 3}, "target": "j"}, "answer": {"steps": [["r", "w + 18", "w + 26"], ["w", "a + 15", "a + 41"], ["a", "g + 16", "g + 57"], ["g", "q + 11", "q + 68"], ["q", "t + 19", "t + 87"], ["t", 3, "90"]], "target_var_name": "j", "target_value": 90, "value_dict": {"t": 3}, "is_reverse": true}} | 11,886 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = p + 7; m = s + 8; u = t + 14; g = q + 11; j = r + 8; p = u + 13; o = i + 14; q = t + 19; r = w + 18; w = a + 15; t = 3; i = m + 12; a = g + 16. If t = 3, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 18 to j, which gives j = w + 26.\n2. Substitute w = a + 15 to j, which gives j = a + 41.\n3. Substitute a = g + 16 to j, which gives j = g + 57.\n4. Substitute g = q + 11 to j, which gives j = q + 68.\n5. Substitute q = t + 19 to j, which gives j = t + 87.\n6. Substitute t = 3 to j, which gives j = 90.\n\nThus, the final answer is j = \\boxed{90}.",
"index": 11886,
"question": "Consider a system of variables where each variable is defined as follows: s = p + 7; m = s + 8; u = t + 14; g = q + 11; j = r + 8; p = u + 13; o = i + 14; q = t + 19; r = w + 18; w = a + 15; t = 3; i = m + 12; a = g + 16. If t = 3, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 4", "f": "z + 11", "p": "f + 11", "m": "p + 6", "w": "m + 19", "r": "w + 2", "x": "v + 7", "b": "x + 4", "d": "b + 3", "s": "d + 5", "o": "s + 16", "a": "o + 3", "v": 6}, "premises": {"v": 6}, "target": "r"}, "answer": {"steps": [["w", "m + 19", "m + 21"], ["m", "p + 6", "p + 27"], ["p", "f + 11", "f + 38"], ["f", "z + 11", "z + 49"], ["z", "v + 4", "v + 53"], ["v", 6, "59"]], "target_var_name": "r", "target_value": 59, "value_dict": {"v": 6}, "is_reverse": true}} | 11,887 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = o + 3; d = b + 3; p = f + 11; f = z + 11; w = m + 19; z = v + 4; m = p + 6; r = w + 2; s = d + 5; b = x + 4; v = 6; x = v + 7; o = s + 16. Given that v = 6, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 19 to r, which gives r = m + 21.\n2. Substitute m = p + 6 to r, which gives r = p + 27.\n3. Substitute p = f + 11 to r, which gives r = f + 38.\n4. Substitute f = z + 11 to r, which gives r = z + 49.\n5. Substitute z = v + 4 to r, which gives r = v + 53.\n6. Substitute v = 6 to r, which gives r = 59.\n\nThus, the final answer is r = \\boxed{59}.",
"index": 11887,
"question": "Suppose a collection of variables is related by the following definitions: a = o + 3; d = b + 3; p = f + 11; f = z + 11; w = m + 19; z = v + 4; m = p + 6; r = w + 2; s = d + 5; b = x + 4; v = 6; x = v + 7; o = s + 16. Given that v = 6, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"c": "h + 10", "k": "c + 8", "n": "k + 16", "d": "n + 5", "y": "d + 14", "a": "y + 7", "t": "h + 8", "s": "t + 17", "g": "s + 19", "e": "g + 7", "u": "e + 13", "w": "u + 15", "h": 18}, "premises": {"h": 18}, "target": "a"}, "answer": {"steps": [["y", "d + 14", "d + 21"], ["d", "n + 5", "n + 26"], ["n", "k + 16", "k + 42"], ["k", "c + 8", "c + 50"], ["c", "h + 10", "h + 60"], ["h", 18, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"h": 18}, "is_reverse": true}} | 11,888 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = y + 7; t = h + 8; d = n + 5; w = u + 15; g = s + 19; h = 18; y = d + 14; u = e + 13; n = k + 16; e = g + 7; k = c + 8; c = h + 10; s = t + 17. Given that h = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 14 to a, which gives a = d + 21.\n2. Substitute d = n + 5 to a, which gives a = n + 26.\n3. Substitute n = k + 16 to a, which gives a = k + 42.\n4. Substitute k = c + 8 to a, which gives a = c + 50.\n5. Substitute c = h + 10 to a, which gives a = h + 60.\n6. Substitute h = 18 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 11888,
"question": "Suppose a collection of variables is related by the following definitions: a = y + 7; t = h + 8; d = n + 5; w = u + 15; g = s + 19; h = 18; y = d + 14; u = e + 13; n = k + 16; e = g + 7; k = c + 8; c = h + 10; s = t + 17. Given that h = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 3", "p": "i + 20", "o": "p + 7", "b": "o + 5", "m": "b + 7", "a": "m + 16", "z": "w + 15", "c": "z + 2", "n": "c + 12", "r": "n + 1", "u": "r + 18", "y": "u + 1", "w": 18}, "premises": {"w": 18}, "target": "a"}, "answer": {"steps": [["m", "b + 7", "b + 23"], ["b", "o + 5", "o + 28"], ["o", "p + 7", "p + 35"], ["p", "i + 20", "i + 55"], ["i", "w + 3", "w + 58"], ["w", 18, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"w": 18}, "is_reverse": true}} | 11,889 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 15; w = 18; a = m + 16; i = w + 3; o = p + 7; m = b + 7; b = o + 5; c = z + 2; r = n + 1; u = r + 18; y = u + 1; n = c + 12; p = i + 20. Given that w = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 7 to a, which gives a = b + 23.\n2. Substitute b = o + 5 to a, which gives a = o + 28.\n3. Substitute o = p + 7 to a, which gives a = p + 35.\n4. Substitute p = i + 20 to a, which gives a = i + 55.\n5. Substitute i = w + 3 to a, which gives a = w + 58.\n6. Substitute w = 18 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 11889,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 15; w = 18; a = m + 16; i = w + 3; o = p + 7; m = b + 7; b = o + 5; c = z + 2; r = n + 1; u = r + 18; y = u + 1; n = c + 12; p = i + 20. Given that w = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 7", "k": "o + 16", "u": "k + 15", "y": "u + 17", "d": "y + 9", "a": "d + 8", "p": "c + 4", "t": "p + 17", "m": "t + 9", "w": "m + 2", "n": "w + 4", "g": "n + 16", "c": 9}, "premises": {"c": 9}, "target": "a"}, "answer": {"steps": [["d", "y + 9", "y + 17"], ["y", "u + 17", "u + 34"], ["u", "k + 15", "k + 49"], ["k", "o + 16", "o + 65"], ["o", "c + 7", "c + 72"], ["c", 9, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"c": 9}, "is_reverse": true}} | 11,890 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = p + 17; w = m + 2; g = n + 16; o = c + 7; p = c + 4; k = o + 16; d = y + 9; u = k + 15; y = u + 17; a = d + 8; m = t + 9; n = w + 4; c = 9. Given that c = 9, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 9 to a, which gives a = y + 17.\n2. Substitute y = u + 17 to a, which gives a = u + 34.\n3. Substitute u = k + 15 to a, which gives a = k + 49.\n4. Substitute k = o + 16 to a, which gives a = o + 65.\n5. Substitute o = c + 7 to a, which gives a = c + 72.\n6. Substitute c = 9 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 11890,
"question": "Suppose a collection of variables is related by the following definitions: t = p + 17; w = m + 2; g = n + 16; o = c + 7; p = c + 4; k = o + 16; d = y + 9; u = k + 15; y = u + 17; a = d + 8; m = t + 9; n = w + 4; c = 9. Given that c = 9, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 5", "g": "n + 5", "q": "g + 17", "w": "q + 10", "y": "w + 2", "f": "y + 17", "a": "t + 2", "r": "a + 10", "p": "r + 14", "e": "p + 3", "h": "e + 6", "u": "h + 11", "t": 5}, "premises": {"t": 5}, "target": "f"}, "answer": {"steps": [["y", "w + 2", "w + 19"], ["w", "q + 10", "q + 29"], ["q", "g + 17", "g + 46"], ["g", "n + 5", "n + 51"], ["n", "t + 5", "t + 56"], ["t", 5, "61"]], "target_var_name": "f", "target_value": 61, "value_dict": {"t": 5}, "is_reverse": true}} | 11,891 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = r + 14; e = p + 3; a = t + 2; u = h + 11; g = n + 5; q = g + 17; w = q + 10; t = 5; y = w + 2; h = e + 6; r = a + 10; f = y + 17; n = t + 5. Given that t = 5, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 2 to f, which gives f = w + 19.\n2. Substitute w = q + 10 to f, which gives f = q + 29.\n3. Substitute q = g + 17 to f, which gives f = g + 46.\n4. Substitute g = n + 5 to f, which gives f = n + 51.\n5. Substitute n = t + 5 to f, which gives f = t + 56.\n6. Substitute t = 5 to f, which gives f = 61.\n\nThus, the final answer is f = \\boxed{61}.",
"index": 11891,
"question": "Suppose a collection of variables is related by the following definitions: p = r + 14; e = p + 3; a = t + 2; u = h + 11; g = n + 5; q = g + 17; w = q + 10; t = 5; y = w + 2; h = e + 6; r = a + 10; f = y + 17; n = t + 5. Given that t = 5, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 9", "h": "o + 1", "v": "h + 1", "w": "v + 9", "g": "w + 4", "b": "g + 9", "n": "x + 2", "i": "n + 8", "p": "i + 7", "j": "p + 14", "k": "j + 7", "u": "k + 15", "x": 8}, "premises": {"x": 8}, "target": "b"}, "answer": {"steps": [["g", "w + 4", "w + 13"], ["w", "v + 9", "v + 22"], ["v", "h + 1", "h + 23"], ["h", "o + 1", "o + 24"], ["o", "x + 9", "x + 33"], ["x", 8, "41"]], "target_var_name": "b", "target_value": 41, "value_dict": {"x": 8}, "is_reverse": true}} | 11,892 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = k + 15; p = i + 7; j = p + 14; g = w + 4; n = x + 2; i = n + 8; x = 8; b = g + 9; v = h + 1; o = x + 9; k = j + 7; w = v + 9; h = o + 1. Given that x = 8, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 4 to b, which gives b = w + 13.\n2. Substitute w = v + 9 to b, which gives b = v + 22.\n3. Substitute v = h + 1 to b, which gives b = h + 23.\n4. Substitute h = o + 1 to b, which gives b = o + 24.\n5. Substitute o = x + 9 to b, which gives b = x + 33.\n6. Substitute x = 8 to b, which gives b = 41.\n\nThus, the final answer is b = \\boxed{41}.",
"index": 11892,
"question": "Suppose a collection of variables is related by the following definitions: u = k + 15; p = i + 7; j = p + 14; g = w + 4; n = x + 2; i = n + 8; x = 8; b = g + 9; v = h + 1; o = x + 9; k = j + 7; w = v + 9; h = o + 1. Given that x = 8, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"g": "s + 10", "t": "g + 19", "k": "t + 8", "f": "k + 13", "a": "f + 5", "i": "a + 19", "x": "s + 15", "y": "x + 5", "b": "y + 10", "p": "b + 13", "e": "p + 20", "q": "e + 1", "s": 7}, "premises": {"s": 7}, "target": "i"}, "answer": {"steps": [["a", "f + 5", "f + 24"], ["f", "k + 13", "k + 37"], ["k", "t + 8", "t + 45"], ["t", "g + 19", "g + 64"], ["g", "s + 10", "s + 74"], ["s", 7, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"s": 7}, "is_reverse": true}} | 11,893 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = e + 1; t = g + 19; y = x + 5; e = p + 20; p = b + 13; a = f + 5; x = s + 15; i = a + 19; s = 7; b = y + 10; g = s + 10; k = t + 8; f = k + 13. If s = 7, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 5 to i, which gives i = f + 24.\n2. Substitute f = k + 13 to i, which gives i = k + 37.\n3. Substitute k = t + 8 to i, which gives i = t + 45.\n4. Substitute t = g + 19 to i, which gives i = g + 64.\n5. Substitute g = s + 10 to i, which gives i = s + 74.\n6. Substitute s = 7 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 11893,
"question": "Consider a system of variables where each variable is defined as follows: q = e + 1; t = g + 19; y = x + 5; e = p + 20; p = b + 13; a = f + 5; x = s + 15; i = a + 19; s = 7; b = y + 10; g = s + 10; k = t + 8; f = k + 13. If s = 7, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"b": "v + 8", "f": "b + 13", "p": "f + 17", "t": "p + 18", "a": "t + 7", "x": "a + 7", "h": "v + 10", "y": "h + 19", "e": "y + 1", "i": "e + 10", "o": "i + 20", "d": "o + 7", "v": 11}, "premises": {"v": 11}, "target": "x"}, "answer": {"steps": [["a", "t + 7", "t + 14"], ["t", "p + 18", "p + 32"], ["p", "f + 17", "f + 49"], ["f", "b + 13", "b + 62"], ["b", "v + 8", "v + 70"], ["v", 11, "81"]], "target_var_name": "x", "target_value": 81, "value_dict": {"v": 11}, "is_reverse": true}} | 11,894 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = y + 1; i = e + 10; v = 11; x = a + 7; f = b + 13; h = v + 10; a = t + 7; d = o + 7; b = v + 8; o = i + 20; y = h + 19; t = p + 18; p = f + 17. If v = 11, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 7 to x, which gives x = t + 14.\n2. Substitute t = p + 18 to x, which gives x = p + 32.\n3. Substitute p = f + 17 to x, which gives x = f + 49.\n4. Substitute f = b + 13 to x, which gives x = b + 62.\n5. Substitute b = v + 8 to x, which gives x = v + 70.\n6. Substitute v = 11 to x, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 11894,
"question": "Consider a system of variables where each variable is defined as follows: e = y + 1; i = e + 10; v = 11; x = a + 7; f = b + 13; h = v + 10; a = t + 7; d = o + 7; b = v + 8; o = i + 20; y = h + 19; t = p + 18; p = f + 17. If v = 11, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 1", "g": "n + 2", "u": "g + 4", "m": "u + 7", "p": "m + 16", "i": "p + 16", "y": "q + 20", "f": "y + 12", "r": "f + 7", "c": "r + 2", "l": "c + 10", "e": "l + 19", "q": 10}, "premises": {"q": 10}, "target": "i"}, "answer": {"steps": [["p", "m + 16", "m + 32"], ["m", "u + 7", "u + 39"], ["u", "g + 4", "g + 43"], ["g", "n + 2", "n + 45"], ["n", "q + 1", "q + 46"], ["q", 10, "56"]], "target_var_name": "i", "target_value": 56, "value_dict": {"q": 10}, "is_reverse": true}} | 11,895 | 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 = c + 10; n = q + 1; e = l + 19; y = q + 20; p = m + 16; q = 10; m = u + 7; r = f + 7; i = p + 16; u = g + 4; c = r + 2; f = y + 12; g = n + 2. If q = 10, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 16 to i, which gives i = m + 32.\n2. Substitute m = u + 7 to i, which gives i = u + 39.\n3. Substitute u = g + 4 to i, which gives i = g + 43.\n4. Substitute g = n + 2 to i, which gives i = n + 45.\n5. Substitute n = q + 1 to i, which gives i = q + 46.\n6. Substitute q = 10 to i, which gives i = 56.\n\nThus, the final answer is i = \\boxed{56}.",
"index": 11895,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = c + 10; n = q + 1; e = l + 19; y = q + 20; p = m + 16; q = 10; m = u + 7; r = f + 7; i = p + 16; u = g + 4; c = r + 2; f = y + 12; g = n + 2. If q = 10, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 12", "i": "w + 16", "z": "i + 4", "r": "z + 2", "p": "r + 5", "s": "p + 2", "t": "d + 2", "m": "t + 15", "j": "m + 12", "h": "j + 19", "y": "h + 17", "a": "y + 10", "d": 13}, "premises": {"d": 13}, "target": "s"}, "answer": {"steps": [["p", "r + 5", "r + 7"], ["r", "z + 2", "z + 9"], ["z", "i + 4", "i + 13"], ["i", "w + 16", "w + 29"], ["w", "d + 12", "d + 41"], ["d", 13, "54"]], "target_var_name": "s", "target_value": 54, "value_dict": {"d": 13}, "is_reverse": true}} | 11,896 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = 13; h = j + 19; s = p + 2; m = t + 15; a = y + 10; j = m + 12; y = h + 17; r = z + 2; w = d + 12; z = i + 4; p = r + 5; t = d + 2; i = w + 16. Given that d = 13, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 5 to s, which gives s = r + 7.\n2. Substitute r = z + 2 to s, which gives s = z + 9.\n3. Substitute z = i + 4 to s, which gives s = i + 13.\n4. Substitute i = w + 16 to s, which gives s = w + 29.\n5. Substitute w = d + 12 to s, which gives s = d + 41.\n6. Substitute d = 13 to s, which gives s = 54.\n\nThus, the final answer is s = \\boxed{54}.",
"index": 11896,
"question": "Suppose a collection of variables is related by the following definitions: d = 13; h = j + 19; s = p + 2; m = t + 15; a = y + 10; j = m + 12; y = h + 17; r = z + 2; w = d + 12; z = i + 4; p = r + 5; t = d + 2; i = w + 16. Given that d = 13, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 16", "b": "l + 4", "o": "b + 17", "i": "o + 17", "z": "i + 4", "g": "z + 2", "s": "u + 16", "a": "s + 12", "k": "a + 1", "v": "k + 16", "q": "v + 10", "j": "q + 10", "u": 1}, "premises": {"u": 1}, "target": "g"}, "answer": {"steps": [["z", "i + 4", "i + 6"], ["i", "o + 17", "o + 23"], ["o", "b + 17", "b + 40"], ["b", "l + 4", "l + 44"], ["l", "u + 16", "u + 60"], ["u", 1, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"u": 1}, "is_reverse": true}} | 11,897 | 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 = v + 10; o = b + 17; l = u + 16; i = o + 17; b = l + 4; k = a + 1; v = k + 16; g = z + 2; a = s + 12; s = u + 16; j = q + 10; z = i + 4; u = 1. If u = 1, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 4 to g, which gives g = i + 6.\n2. Substitute i = o + 17 to g, which gives g = o + 23.\n3. Substitute o = b + 17 to g, which gives g = b + 40.\n4. Substitute b = l + 4 to g, which gives g = l + 44.\n5. Substitute l = u + 16 to g, which gives g = u + 60.\n6. Substitute u = 1 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 11897,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = v + 10; o = b + 17; l = u + 16; i = o + 17; b = l + 4; k = a + 1; v = k + 16; g = z + 2; a = s + 12; s = u + 16; j = q + 10; z = i + 4; u = 1. If u = 1, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"l": "c + 3", "m": "l + 14", "e": "m + 13", "w": "e + 7", "p": "w + 3", "v": "p + 9", "s": "c + 13", "o": "s + 3", "r": "o + 5", "a": "r + 13", "u": "a + 9", "t": "u + 1", "c": 1}, "premises": {"c": 1}, "target": "v"}, "answer": {"steps": [["p", "w + 3", "w + 12"], ["w", "e + 7", "e + 19"], ["e", "m + 13", "m + 32"], ["m", "l + 14", "l + 46"], ["l", "c + 3", "c + 49"], ["c", 1, "50"]], "target_var_name": "v", "target_value": 50, "value_dict": {"c": 1}, "is_reverse": true}} | 11,898 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = m + 13; m = l + 14; l = c + 3; c = 1; a = r + 13; t = u + 1; s = c + 13; o = s + 3; v = p + 9; u = a + 9; w = e + 7; r = o + 5; p = w + 3. If c = 1, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 3 to v, which gives v = w + 12.\n2. Substitute w = e + 7 to v, which gives v = e + 19.\n3. Substitute e = m + 13 to v, which gives v = m + 32.\n4. Substitute m = l + 14 to v, which gives v = l + 46.\n5. Substitute l = c + 3 to v, which gives v = c + 49.\n6. Substitute c = 1 to v, which gives v = 50.\n\nThus, the final answer is v = \\boxed{50}.",
"index": 11898,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = m + 13; m = l + 14; l = c + 3; c = 1; a = r + 13; t = u + 1; s = c + 13; o = s + 3; v = p + 9; u = a + 9; w = e + 7; r = o + 5; p = w + 3. If c = 1, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 1", "m": "w + 10", "e": "m + 7", "h": "e + 17", "y": "h + 18", "n": "y + 19", "s": "a + 8", "x": "s + 17", "u": "x + 20", "o": "u + 17", "b": "o + 5", "z": "b + 2", "a": 20}, "premises": {"a": 20}, "target": "n"}, "answer": {"steps": [["y", "h + 18", "h + 37"], ["h", "e + 17", "e + 54"], ["e", "m + 7", "m + 61"], ["m", "w + 10", "w + 71"], ["w", "a + 1", "a + 72"], ["a", 20, "92"]], "target_var_name": "n", "target_value": 92, "value_dict": {"a": 20}, "is_reverse": true}} | 11,899 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = w + 10; h = e + 17; z = b + 2; x = s + 17; n = y + 19; o = u + 17; y = h + 18; a = 20; w = a + 1; b = o + 5; u = x + 20; s = a + 8; e = m + 7. Given that a = 20, 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 y = h + 18 to n, which gives n = h + 37.\n2. Substitute h = e + 17 to n, which gives n = e + 54.\n3. Substitute e = m + 7 to n, which gives n = m + 61.\n4. Substitute m = w + 10 to n, which gives n = w + 71.\n5. Substitute w = a + 1 to n, which gives n = a + 72.\n6. Substitute a = 20 to n, which gives n = 92.\n\nThus, the final answer is n = \\boxed{92}.",
"index": 11899,
"question": "Suppose a collection of variables is related by the following definitions: m = w + 10; h = e + 17; z = b + 2; x = s + 17; n = y + 19; o = u + 17; y = h + 18; a = 20; w = a + 1; b = o + 5; u = x + 20; s = a + 8; e = m + 7. Given that a = 20, find the value of n.",
"split": "train"
} |
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