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": {"f": "m + 3", "t": "f + 6", "c": "t + 7", "s": "c + 4", "q": "s + 6", "y": "q + 15", "u": "m + 19", "v": "u + 12", "l": "v + 8", "p": "l + 12", "r": "p + 3", "o": "r + 13", "m": 4}, "premises": {"m": 4}, "target": "y"}, "answer": {"steps": [["q", "s + 6", "s + 21"], ["s", "c + 4", "c + 25"], ["c", "t + 7", "t + 32"], ["t", "f + 6", "f + 38"], ["f", "m + 3", "m + 41"], ["m", 4, "45"]], "target_var_name": "y", "target_value": 45, "value_dict": {"m": 4}, "is_reverse": true}} | 8,800 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = t + 7; m = 4; f = m + 3; u = m + 19; s = c + 4; t = f + 6; o = r + 13; v = u + 12; p = l + 12; r = p + 3; y = q + 15; q = s + 6; l = v + 8. Given that m = 4, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 6 to y, which gives y = s + 21.\n2. Substitute s = c + 4 to y, which gives y = c + 25.\n3. Substitute c = t + 7 to y, which gives y = t + 32.\n4. Substitute t = f + 6 to y, which gives y = f + 38.\n5. Substitute f = m + 3 to y, which gives y = m + 41.\n6. Substitute m = 4 to y, which gives y = 45.\n\nThus, the final answer is y = \\boxed{45}.",
"index": 8800,
"question": "Suppose a collection of variables is related by the following definitions: c = t + 7; m = 4; f = m + 3; u = m + 19; s = c + 4; t = f + 6; o = r + 13; v = u + 12; p = l + 12; r = p + 3; y = q + 15; q = s + 6; l = v + 8. Given that m = 4, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 20", "t": "b + 15", "a": "t + 3", "x": "a + 13", "e": "x + 2", "w": "e + 15", "z": "y + 19", "p": "z + 12", "i": "p + 9", "v": "i + 3", "j": "v + 17", "f": "j + 20", "y": 17}, "premises": {"y": 17}, "target": "w"}, "answer": {"steps": [["e", "x + 2", "x + 17"], ["x", "a + 13", "a + 30"], ["a", "t + 3", "t + 33"], ["t", "b + 15", "b + 48"], ["b", "y + 20", "y + 68"], ["y", 17, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"y": 17}, "is_reverse": true}} | 8,801 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = y + 19; e = x + 2; x = a + 13; p = z + 12; y = 17; j = v + 17; b = y + 20; w = e + 15; i = p + 9; t = b + 15; a = t + 3; v = i + 3; f = j + 20. Given that y = 17, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 2 to w, which gives w = x + 17.\n2. Substitute x = a + 13 to w, which gives w = a + 30.\n3. Substitute a = t + 3 to w, which gives w = t + 33.\n4. Substitute t = b + 15 to w, which gives w = b + 48.\n5. Substitute b = y + 20 to w, which gives w = y + 68.\n6. Substitute y = 17 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 8801,
"question": "Suppose a collection of variables is related by the following definitions: z = y + 19; e = x + 2; x = a + 13; p = z + 12; y = 17; j = v + 17; b = y + 20; w = e + 15; i = p + 9; t = b + 15; a = t + 3; v = i + 3; f = j + 20. Given that y = 17, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "z + 20", "y": "o + 18", "s": "y + 12", "t": "s + 13", "n": "t + 1", "v": "n + 10", "i": "z + 16", "b": "i + 4", "g": "b + 16", "h": "g + 5", "c": "h + 4", "e": "c + 15", "z": 13}, "premises": {"z": 13}, "target": "v"}, "answer": {"steps": [["n", "t + 1", "t + 11"], ["t", "s + 13", "s + 24"], ["s", "y + 12", "y + 36"], ["y", "o + 18", "o + 54"], ["o", "z + 20", "z + 74"], ["z", 13, "87"]], "target_var_name": "v", "target_value": 87, "value_dict": {"z": 13}, "is_reverse": true}} | 8,802 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = z + 16; y = o + 18; n = t + 1; h = g + 5; o = z + 20; e = c + 15; t = s + 13; z = 13; c = h + 4; v = n + 10; b = i + 4; g = b + 16; s = y + 12. If z = 13, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 1 to v, which gives v = t + 11.\n2. Substitute t = s + 13 to v, which gives v = s + 24.\n3. Substitute s = y + 12 to v, which gives v = y + 36.\n4. Substitute y = o + 18 to v, which gives v = o + 54.\n5. Substitute o = z + 20 to v, which gives v = z + 74.\n6. Substitute z = 13 to v, which gives v = 87.\n\nThus, the final answer is v = \\boxed{87}.",
"index": 8802,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = z + 16; y = o + 18; n = t + 1; h = g + 5; o = z + 20; e = c + 15; t = s + 13; z = 13; c = h + 4; v = n + 10; b = i + 4; g = b + 16; s = y + 12. If z = 13, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 14", "t": "r + 20", "n": "t + 6", "o": "n + 3", "p": "o + 17", "q": "p + 7", "k": "w + 8", "z": "k + 16", "b": "z + 19", "x": "b + 1", "j": "x + 1", "m": "j + 2", "w": 11}, "premises": {"w": 11}, "target": "q"}, "answer": {"steps": [["p", "o + 17", "o + 24"], ["o", "n + 3", "n + 27"], ["n", "t + 6", "t + 33"], ["t", "r + 20", "r + 53"], ["r", "w + 14", "w + 67"], ["w", 11, "78"]], "target_var_name": "q", "target_value": 78, "value_dict": {"w": 11}, "is_reverse": true}} | 8,803 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 1; w = 11; p = o + 17; x = b + 1; o = n + 3; t = r + 20; b = z + 19; k = w + 8; z = k + 16; r = w + 14; q = p + 7; n = t + 6; m = j + 2. If w = 11, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 17 to q, which gives q = o + 24.\n2. Substitute o = n + 3 to q, which gives q = n + 27.\n3. Substitute n = t + 6 to q, which gives q = t + 33.\n4. Substitute t = r + 20 to q, which gives q = r + 53.\n5. Substitute r = w + 14 to q, which gives q = w + 67.\n6. Substitute w = 11 to q, which gives q = 78.\n\nThus, the final answer is q = \\boxed{78}.",
"index": 8803,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 1; w = 11; p = o + 17; x = b + 1; o = n + 3; t = r + 20; b = z + 19; k = w + 8; z = k + 16; r = w + 14; q = p + 7; n = t + 6; m = j + 2. If w = 11, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 5", "a": "z + 8", "x": "a + 2", "c": "x + 18", "h": "c + 20", "o": "h + 4", "e": "d + 5", "q": "e + 6", "s": "q + 6", "t": "s + 9", "r": "t + 3", "i": "r + 8", "d": 20}, "premises": {"d": 20}, "target": "o"}, "answer": {"steps": [["h", "c + 20", "c + 24"], ["c", "x + 18", "x + 42"], ["x", "a + 2", "a + 44"], ["a", "z + 8", "z + 52"], ["z", "d + 5", "d + 57"], ["d", 20, "77"]], "target_var_name": "o", "target_value": 77, "value_dict": {"d": 20}, "is_reverse": true}} | 8,804 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = 20; c = x + 18; r = t + 3; o = h + 4; z = d + 5; i = r + 8; s = q + 6; t = s + 9; e = d + 5; h = c + 20; a = z + 8; x = a + 2; q = e + 6. If d = 20, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 20 to o, which gives o = c + 24.\n2. Substitute c = x + 18 to o, which gives o = x + 42.\n3. Substitute x = a + 2 to o, which gives o = a + 44.\n4. Substitute a = z + 8 to o, which gives o = z + 52.\n5. Substitute z = d + 5 to o, which gives o = d + 57.\n6. Substitute d = 20 to o, which gives o = 77.\n\nThus, the final answer is o = \\boxed{77}.",
"index": 8804,
"question": "Consider a system of variables where each variable is defined as follows: d = 20; c = x + 18; r = t + 3; o = h + 4; z = d + 5; i = r + 8; s = q + 6; t = s + 9; e = d + 5; h = c + 20; a = z + 8; x = a + 2; q = e + 6. If d = 20, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 9", "x": "v + 10", "s": "x + 4", "y": "s + 20", "z": "y + 19", "k": "z + 2", "w": "r + 4", "j": "w + 9", "b": "j + 11", "l": "b + 19", "p": "l + 16", "d": "p + 10", "r": 9}, "premises": {"r": 9}, "target": "k"}, "answer": {"steps": [["z", "y + 19", "y + 21"], ["y", "s + 20", "s + 41"], ["s", "x + 4", "x + 45"], ["x", "v + 10", "v + 55"], ["v", "r + 9", "r + 64"], ["r", 9, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"r": 9}, "is_reverse": true}} | 8,805 | 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 = b + 19; j = w + 9; v = r + 9; w = r + 4; p = l + 16; b = j + 11; x = v + 10; r = 9; z = y + 19; d = p + 10; k = z + 2; s = x + 4; y = s + 20. If r = 9, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 19 to k, which gives k = y + 21.\n2. Substitute y = s + 20 to k, which gives k = s + 41.\n3. Substitute s = x + 4 to k, which gives k = x + 45.\n4. Substitute x = v + 10 to k, which gives k = v + 55.\n5. Substitute v = r + 9 to k, which gives k = r + 64.\n6. Substitute r = 9 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 8805,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 19; j = w + 9; v = r + 9; w = r + 4; p = l + 16; b = j + 11; x = v + 10; r = 9; z = y + 19; d = p + 10; k = z + 2; s = x + 4; y = s + 20. If r = 9, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 5", "y": "k + 1", "u": "y + 13", "n": "u + 4", "r": "n + 18", "j": "r + 13", "h": "e + 15", "t": "h + 14", "a": "t + 7", "w": "a + 18", "d": "w + 20", "s": "d + 17", "e": 5}, "premises": {"e": 5}, "target": "j"}, "answer": {"steps": [["r", "n + 18", "n + 31"], ["n", "u + 4", "u + 35"], ["u", "y + 13", "y + 48"], ["y", "k + 1", "k + 49"], ["k", "e + 5", "e + 54"], ["e", 5, "59"]], "target_var_name": "j", "target_value": 59, "value_dict": {"e": 5}, "is_reverse": true}} | 8,806 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = h + 14; n = u + 4; d = w + 20; k = e + 5; a = t + 7; u = y + 13; e = 5; j = r + 13; s = d + 17; y = k + 1; r = n + 18; h = e + 15; w = a + 18. If e = 5, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 18 to j, which gives j = n + 31.\n2. Substitute n = u + 4 to j, which gives j = u + 35.\n3. Substitute u = y + 13 to j, which gives j = y + 48.\n4. Substitute y = k + 1 to j, which gives j = k + 49.\n5. Substitute k = e + 5 to j, which gives j = e + 54.\n6. Substitute e = 5 to j, which gives j = 59.\n\nThus, the final answer is j = \\boxed{59}.",
"index": 8806,
"question": "Consider a system of variables where each variable is defined as follows: t = h + 14; n = u + 4; d = w + 20; k = e + 5; a = t + 7; u = y + 13; e = 5; j = r + 13; s = d + 17; y = k + 1; r = n + 18; h = e + 15; w = a + 18. If e = 5, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 15", "h": "c + 1", "e": "h + 20", "o": "e + 14", "a": "o + 7", "x": "a + 7", "s": "l + 7", "f": "s + 16", "n": "f + 5", "v": "n + 7", "z": "v + 5", "q": "z + 2", "l": 18}, "premises": {"l": 18}, "target": "x"}, "answer": {"steps": [["a", "o + 7", "o + 14"], ["o", "e + 14", "e + 28"], ["e", "h + 20", "h + 48"], ["h", "c + 1", "c + 49"], ["c", "l + 15", "l + 64"], ["l", 18, "82"]], "target_var_name": "x", "target_value": 82, "value_dict": {"l": 18}, "is_reverse": true}} | 8,807 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = c + 1; n = f + 5; e = h + 20; q = z + 2; f = s + 16; a = o + 7; v = n + 7; x = a + 7; o = e + 14; s = l + 7; c = l + 15; z = v + 5; l = 18. Given that l = 18, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 7 to x, which gives x = o + 14.\n2. Substitute o = e + 14 to x, which gives x = e + 28.\n3. Substitute e = h + 20 to x, which gives x = h + 48.\n4. Substitute h = c + 1 to x, which gives x = c + 49.\n5. Substitute c = l + 15 to x, which gives x = l + 64.\n6. Substitute l = 18 to x, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 8807,
"question": "Suppose a collection of variables is related by the following definitions: h = c + 1; n = f + 5; e = h + 20; q = z + 2; f = s + 16; a = o + 7; v = n + 7; x = a + 7; o = e + 14; s = l + 7; c = l + 15; z = v + 5; l = 18. Given that l = 18, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 12", "f": "c + 10", "j": "f + 4", "d": "j + 2", "i": "d + 7", "v": "i + 5", "u": "a + 5", "e": "u + 16", "t": "e + 15", "p": "t + 3", "h": "p + 11", "b": "h + 17", "a": 20}, "premises": {"a": 20}, "target": "v"}, "answer": {"steps": [["i", "d + 7", "d + 12"], ["d", "j + 2", "j + 14"], ["j", "f + 4", "f + 18"], ["f", "c + 10", "c + 28"], ["c", "a + 12", "a + 40"], ["a", 20, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"a": 20}, "is_reverse": true}} | 8,808 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = a + 12; b = h + 17; i = d + 7; e = u + 16; t = e + 15; a = 20; j = f + 4; d = j + 2; u = a + 5; v = i + 5; p = t + 3; f = c + 10; h = p + 11. If a = 20, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 7 to v, which gives v = d + 12.\n2. Substitute d = j + 2 to v, which gives v = j + 14.\n3. Substitute j = f + 4 to v, which gives v = f + 18.\n4. Substitute f = c + 10 to v, which gives v = c + 28.\n5. Substitute c = a + 12 to v, which gives v = a + 40.\n6. Substitute a = 20 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 8808,
"question": "Consider a system of variables where each variable is defined as follows: c = a + 12; b = h + 17; i = d + 7; e = u + 16; t = e + 15; a = 20; j = f + 4; d = j + 2; u = a + 5; v = i + 5; p = t + 3; f = c + 10; h = p + 11. If a = 20, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 15", "f": "e + 3", "w": "f + 18", "t": "w + 1", "l": "t + 5", "k": "l + 4", "z": "n + 12", "g": "z + 17", "x": "g + 1", "i": "x + 5", "y": "i + 1", "c": "y + 14", "n": 5}, "premises": {"n": 5}, "target": "k"}, "answer": {"steps": [["l", "t + 5", "t + 9"], ["t", "w + 1", "w + 10"], ["w", "f + 18", "f + 28"], ["f", "e + 3", "e + 31"], ["e", "n + 15", "n + 46"], ["n", 5, "51"]], "target_var_name": "k", "target_value": 51, "value_dict": {"n": 5}, "is_reverse": true}} | 8,809 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = f + 18; l = t + 5; g = z + 17; e = n + 15; k = l + 4; x = g + 1; n = 5; y = i + 1; c = y + 14; f = e + 3; t = w + 1; z = n + 12; i = x + 5. If n = 5, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 5 to k, which gives k = t + 9.\n2. Substitute t = w + 1 to k, which gives k = w + 10.\n3. Substitute w = f + 18 to k, which gives k = f + 28.\n4. Substitute f = e + 3 to k, which gives k = e + 31.\n5. Substitute e = n + 15 to k, which gives k = n + 46.\n6. Substitute n = 5 to k, which gives k = 51.\n\nThus, the final answer is k = \\boxed{51}.",
"index": 8809,
"question": "Consider a system of variables where each variable is defined as follows: w = f + 18; l = t + 5; g = z + 17; e = n + 15; k = l + 4; x = g + 1; n = 5; y = i + 1; c = y + 14; f = e + 3; t = w + 1; z = n + 12; i = x + 5. If n = 5, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 1", "o": "x + 2", "k": "o + 12", "v": "k + 18", "g": "v + 4", "w": "g + 13", "a": "t + 16", "s": "a + 10", "j": "s + 7", "m": "j + 18", "r": "m + 14", "u": "r + 3", "t": 17}, "premises": {"t": 17}, "target": "w"}, "answer": {"steps": [["g", "v + 4", "v + 17"], ["v", "k + 18", "k + 35"], ["k", "o + 12", "o + 47"], ["o", "x + 2", "x + 49"], ["x", "t + 1", "t + 50"], ["t", 17, "67"]], "target_var_name": "w", "target_value": 67, "value_dict": {"t": 17}, "is_reverse": true}} | 8,810 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = v + 4; w = g + 13; k = o + 12; x = t + 1; j = s + 7; a = t + 16; s = a + 10; t = 17; u = r + 3; r = m + 14; o = x + 2; v = k + 18; m = j + 18. Given that t = 17, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 4 to w, which gives w = v + 17.\n2. Substitute v = k + 18 to w, which gives w = k + 35.\n3. Substitute k = o + 12 to w, which gives w = o + 47.\n4. Substitute o = x + 2 to w, which gives w = x + 49.\n5. Substitute x = t + 1 to w, which gives w = t + 50.\n6. Substitute t = 17 to w, which gives w = 67.\n\nThus, the final answer is w = \\boxed{67}.",
"index": 8810,
"question": "Suppose a collection of variables is related by the following definitions: g = v + 4; w = g + 13; k = o + 12; x = t + 1; j = s + 7; a = t + 16; s = a + 10; t = 17; u = r + 3; r = m + 14; o = x + 2; v = k + 18; m = j + 18. Given that t = 17, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"q": "t + 12", "x": "q + 2", "w": "x + 15", "g": "w + 18", "c": "g + 7", "h": "c + 8", "l": "t + 15", "k": "l + 10", "p": "k + 15", "i": "p + 15", "b": "i + 10", "v": "b + 20", "t": 18}, "premises": {"t": 18}, "target": "h"}, "answer": {"steps": [["c", "g + 7", "g + 15"], ["g", "w + 18", "w + 33"], ["w", "x + 15", "x + 48"], ["x", "q + 2", "q + 50"], ["q", "t + 12", "t + 62"], ["t", 18, "80"]], "target_var_name": "h", "target_value": 80, "value_dict": {"t": 18}, "is_reverse": true}} | 8,811 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = c + 8; w = x + 15; c = g + 7; i = p + 15; t = 18; b = i + 10; l = t + 15; q = t + 12; g = w + 18; x = q + 2; k = l + 10; p = k + 15; v = b + 20. If t = 18, determine the 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 c = g + 7 to h, which gives h = g + 15.\n2. Substitute g = w + 18 to h, which gives h = w + 33.\n3. Substitute w = x + 15 to h, which gives h = x + 48.\n4. Substitute x = q + 2 to h, which gives h = q + 50.\n5. Substitute q = t + 12 to h, which gives h = t + 62.\n6. Substitute t = 18 to h, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 8811,
"question": "Consider a system of variables where each variable is defined as follows: h = c + 8; w = x + 15; c = g + 7; i = p + 15; t = 18; b = i + 10; l = t + 15; q = t + 12; g = w + 18; x = q + 2; k = l + 10; p = k + 15; v = b + 20. If t = 18, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 5", "x": "y + 16", "l": "x + 20", "p": "l + 15", "a": "p + 16", "v": "a + 2", "o": "m + 4", "j": "o + 16", "f": "j + 15", "e": "f + 19", "b": "e + 9", "i": "b + 15", "m": 12}, "premises": {"m": 12}, "target": "v"}, "answer": {"steps": [["a", "p + 16", "p + 18"], ["p", "l + 15", "l + 33"], ["l", "x + 20", "x + 53"], ["x", "y + 16", "y + 69"], ["y", "m + 5", "m + 74"], ["m", 12, "86"]], "target_var_name": "v", "target_value": 86, "value_dict": {"m": 12}, "is_reverse": true}} | 8,812 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = p + 16; i = b + 15; j = o + 16; m = 12; p = l + 15; e = f + 19; v = a + 2; l = x + 20; f = j + 15; y = m + 5; x = y + 16; b = e + 9; o = m + 4. If m = 12, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 16 to v, which gives v = p + 18.\n2. Substitute p = l + 15 to v, which gives v = l + 33.\n3. Substitute l = x + 20 to v, which gives v = x + 53.\n4. Substitute x = y + 16 to v, which gives v = y + 69.\n5. Substitute y = m + 5 to v, which gives v = m + 74.\n6. Substitute m = 12 to v, which gives v = 86.\n\nThus, the final answer is v = \\boxed{86}.",
"index": 8812,
"question": "Consider a system of variables where each variable is defined as follows: a = p + 16; i = b + 15; j = o + 16; m = 12; p = l + 15; e = f + 19; v = a + 2; l = x + 20; f = j + 15; y = m + 5; x = y + 16; b = e + 9; o = m + 4. If m = 12, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"t": "b + 6", "h": "t + 9", "o": "h + 7", "x": "o + 3", "a": "x + 13", "w": "a + 4", "q": "b + 16", "y": "q + 13", "p": "y + 10", "f": "p + 9", "r": "f + 11", "m": "r + 3", "b": 6}, "premises": {"b": 6}, "target": "w"}, "answer": {"steps": [["a", "x + 13", "x + 17"], ["x", "o + 3", "o + 20"], ["o", "h + 7", "h + 27"], ["h", "t + 9", "t + 36"], ["t", "b + 6", "b + 42"], ["b", 6, "48"]], "target_var_name": "w", "target_value": 48, "value_dict": {"b": 6}, "is_reverse": true}} | 8,813 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = r + 3; q = b + 16; o = h + 7; r = f + 11; t = b + 6; b = 6; a = x + 13; h = t + 9; y = q + 13; f = p + 9; p = y + 10; w = a + 4; x = o + 3. Given that b = 6, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 13 to w, which gives w = x + 17.\n2. Substitute x = o + 3 to w, which gives w = o + 20.\n3. Substitute o = h + 7 to w, which gives w = h + 27.\n4. Substitute h = t + 9 to w, which gives w = t + 36.\n5. Substitute t = b + 6 to w, which gives w = b + 42.\n6. Substitute b = 6 to w, which gives w = 48.\n\nThus, the final answer is w = \\boxed{48}.",
"index": 8813,
"question": "Suppose a collection of variables is related by the following definitions: m = r + 3; q = b + 16; o = h + 7; r = f + 11; t = b + 6; b = 6; a = x + 13; h = t + 9; y = q + 13; f = p + 9; p = y + 10; w = a + 4; x = o + 3. Given that b = 6, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 4", "u": "g + 20", "m": "u + 8", "y": "m + 13", "h": "y + 17", "b": "h + 7", "s": "f + 13", "p": "s + 12", "r": "p + 15", "x": "r + 18", "v": "x + 18", "z": "v + 1", "f": 2}, "premises": {"f": 2}, "target": "b"}, "answer": {"steps": [["h", "y + 17", "y + 24"], ["y", "m + 13", "m + 37"], ["m", "u + 8", "u + 45"], ["u", "g + 20", "g + 65"], ["g", "f + 4", "f + 69"], ["f", 2, "71"]], "target_var_name": "b", "target_value": 71, "value_dict": {"f": 2}, "is_reverse": true}} | 8,814 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = m + 13; v = x + 18; s = f + 13; r = p + 15; p = s + 12; g = f + 4; b = h + 7; m = u + 8; u = g + 20; z = v + 1; f = 2; x = r + 18; h = y + 17. If f = 2, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 17 to b, which gives b = y + 24.\n2. Substitute y = m + 13 to b, which gives b = m + 37.\n3. Substitute m = u + 8 to b, which gives b = u + 45.\n4. Substitute u = g + 20 to b, which gives b = g + 65.\n5. Substitute g = f + 4 to b, which gives b = f + 69.\n6. Substitute f = 2 to b, which gives b = 71.\n\nThus, the final answer is b = \\boxed{71}.",
"index": 8814,
"question": "Consider a system of variables where each variable is defined as follows: y = m + 13; v = x + 18; s = f + 13; r = p + 15; p = s + 12; g = f + 4; b = h + 7; m = u + 8; u = g + 20; z = v + 1; f = 2; x = r + 18; h = y + 17. If f = 2, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 14", "s": "o + 4", "k": "s + 20", "w": "k + 11", "m": "w + 6", "p": "m + 8", "c": "l + 13", "t": "c + 4", "u": "t + 1", "h": "u + 1", "f": "h + 6", "q": "f + 9", "l": 4}, "premises": {"l": 4}, "target": "p"}, "answer": {"steps": [["m", "w + 6", "w + 14"], ["w", "k + 11", "k + 25"], ["k", "s + 20", "s + 45"], ["s", "o + 4", "o + 49"], ["o", "l + 14", "l + 63"], ["l", 4, "67"]], "target_var_name": "p", "target_value": 67, "value_dict": {"l": 4}, "is_reverse": true}} | 8,815 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 11; q = f + 9; c = l + 13; t = c + 4; p = m + 8; k = s + 20; h = u + 1; f = h + 6; s = o + 4; m = w + 6; o = l + 14; l = 4; u = t + 1. If l = 4, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 6 to p, which gives p = w + 14.\n2. Substitute w = k + 11 to p, which gives p = k + 25.\n3. Substitute k = s + 20 to p, which gives p = s + 45.\n4. Substitute s = o + 4 to p, which gives p = o + 49.\n5. Substitute o = l + 14 to p, which gives p = l + 63.\n6. Substitute l = 4 to p, which gives p = 67.\n\nThus, the final answer is p = \\boxed{67}.",
"index": 8815,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 11; q = f + 9; c = l + 13; t = c + 4; p = m + 8; k = s + 20; h = u + 1; f = h + 6; s = o + 4; m = w + 6; o = l + 14; l = 4; u = t + 1. If l = 4, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 12", "v": "h + 3", "d": "v + 15", "z": "d + 7", "e": "z + 6", "g": "e + 13", "w": "p + 6", "n": "w + 17", "a": "n + 20", "c": "a + 2", "i": "c + 17", "j": "i + 5", "p": 10}, "premises": {"p": 10}, "target": "g"}, "answer": {"steps": [["e", "z + 6", "z + 19"], ["z", "d + 7", "d + 26"], ["d", "v + 15", "v + 41"], ["v", "h + 3", "h + 44"], ["h", "p + 12", "p + 56"], ["p", 10, "66"]], "target_var_name": "g", "target_value": 66, "value_dict": {"p": 10}, "is_reverse": true}} | 8,816 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = c + 17; h = p + 12; c = a + 2; j = i + 5; d = v + 15; e = z + 6; g = e + 13; v = h + 3; a = n + 20; n = w + 17; p = 10; z = d + 7; w = p + 6. If p = 10, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 6 to g, which gives g = z + 19.\n2. Substitute z = d + 7 to g, which gives g = d + 26.\n3. Substitute d = v + 15 to g, which gives g = v + 41.\n4. Substitute v = h + 3 to g, which gives g = h + 44.\n5. Substitute h = p + 12 to g, which gives g = p + 56.\n6. Substitute p = 10 to g, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 8816,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = c + 17; h = p + 12; c = a + 2; j = i + 5; d = v + 15; e = z + 6; g = e + 13; v = h + 3; a = n + 20; n = w + 17; p = 10; z = d + 7; w = p + 6. If p = 10, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 12", "a": "f + 19", "n": "a + 19", "o": "n + 16", "c": "o + 19", "g": "c + 5", "v": "e + 13", "j": "v + 19", "i": "j + 1", "w": "i + 12", "d": "w + 9", "b": "d + 20", "e": 18}, "premises": {"e": 18}, "target": "g"}, "answer": {"steps": [["c", "o + 19", "o + 24"], ["o", "n + 16", "n + 40"], ["n", "a + 19", "a + 59"], ["a", "f + 19", "f + 78"], ["f", "e + 12", "e + 90"], ["e", 18, "108"]], "target_var_name": "g", "target_value": 108, "value_dict": {"e": 18}, "is_reverse": true}} | 8,817 | 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 = w + 9; e = 18; b = d + 20; w = i + 12; i = j + 1; v = e + 13; a = f + 19; g = c + 5; f = e + 12; c = o + 19; o = n + 16; j = v + 19; n = a + 19. If e = 18, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 19 to g, which gives g = o + 24.\n2. Substitute o = n + 16 to g, which gives g = n + 40.\n3. Substitute n = a + 19 to g, which gives g = a + 59.\n4. Substitute a = f + 19 to g, which gives g = f + 78.\n5. Substitute f = e + 12 to g, which gives g = e + 90.\n6. Substitute e = 18 to g, which gives g = 108.\n\nThus, the final answer is g = \\boxed{108}.",
"index": 8817,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = w + 9; e = 18; b = d + 20; w = i + 12; i = j + 1; v = e + 13; a = f + 19; g = c + 5; f = e + 12; c = o + 19; o = n + 16; j = v + 19; n = a + 19. If e = 18, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 13", "g": "x + 5", "b": "g + 12", "e": "b + 1", "v": "e + 2", "z": "v + 5", "d": "i + 9", "t": "d + 7", "n": "t + 19", "y": "n + 19", "w": "y + 3", "a": "w + 13", "i": 13}, "premises": {"i": 13}, "target": "z"}, "answer": {"steps": [["v", "e + 2", "e + 7"], ["e", "b + 1", "b + 8"], ["b", "g + 12", "g + 20"], ["g", "x + 5", "x + 25"], ["x", "i + 13", "i + 38"], ["i", 13, "51"]], "target_var_name": "z", "target_value": 51, "value_dict": {"i": 13}, "is_reverse": true}} | 8,818 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = v + 5; v = e + 2; i = 13; n = t + 19; g = x + 5; b = g + 12; a = w + 13; d = i + 9; t = d + 7; x = i + 13; e = b + 1; w = y + 3; y = n + 19. If i = 13, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 2 to z, which gives z = e + 7.\n2. Substitute e = b + 1 to z, which gives z = b + 8.\n3. Substitute b = g + 12 to z, which gives z = g + 20.\n4. Substitute g = x + 5 to z, which gives z = x + 25.\n5. Substitute x = i + 13 to z, which gives z = i + 38.\n6. Substitute i = 13 to z, which gives z = 51.\n\nThus, the final answer is z = \\boxed{51}.",
"index": 8818,
"question": "Consider a system of variables where each variable is defined as follows: z = v + 5; v = e + 2; i = 13; n = t + 19; g = x + 5; b = g + 12; a = w + 13; d = i + 9; t = d + 7; x = i + 13; e = b + 1; w = y + 3; y = n + 19. If i = 13, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"s": "o + 8", "c": "s + 16", "p": "c + 16", "k": "p + 16", "m": "k + 4", "i": "m + 15", "j": "o + 7", "a": "j + 12", "q": "a + 2", "e": "q + 10", "t": "e + 1", "n": "t + 13", "o": 14}, "premises": {"o": 14}, "target": "i"}, "answer": {"steps": [["m", "k + 4", "k + 19"], ["k", "p + 16", "p + 35"], ["p", "c + 16", "c + 51"], ["c", "s + 16", "s + 67"], ["s", "o + 8", "o + 75"], ["o", 14, "89"]], "target_var_name": "i", "target_value": 89, "value_dict": {"o": 14}, "is_reverse": true}} | 8,819 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = j + 12; j = o + 7; m = k + 4; e = q + 10; s = o + 8; q = a + 2; i = m + 15; p = c + 16; o = 14; n = t + 13; t = e + 1; c = s + 16; k = p + 16. If o = 14, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 4 to i, which gives i = k + 19.\n2. Substitute k = p + 16 to i, which gives i = p + 35.\n3. Substitute p = c + 16 to i, which gives i = c + 51.\n4. Substitute c = s + 16 to i, which gives i = s + 67.\n5. Substitute s = o + 8 to i, which gives i = o + 75.\n6. Substitute o = 14 to i, which gives i = 89.\n\nThus, the final answer is i = \\boxed{89}.",
"index": 8819,
"question": "Consider a system of variables where each variable is defined as follows: a = j + 12; j = o + 7; m = k + 4; e = q + 10; s = o + 8; q = a + 2; i = m + 15; p = c + 16; o = 14; n = t + 13; t = e + 1; c = s + 16; k = p + 16. If o = 14, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 9", "j": "l + 20", "y": "j + 13", "h": "y + 1", "u": "h + 2", "d": "u + 16", "x": "w + 3", "p": "x + 9", "z": "p + 11", "b": "z + 3", "v": "b + 7", "e": "v + 7", "w": 18}, "premises": {"w": 18}, "target": "d"}, "answer": {"steps": [["u", "h + 2", "h + 18"], ["h", "y + 1", "y + 19"], ["y", "j + 13", "j + 32"], ["j", "l + 20", "l + 52"], ["l", "w + 9", "w + 61"], ["w", 18, "79"]], "target_var_name": "d", "target_value": 79, "value_dict": {"w": 18}, "is_reverse": true}} | 8,820 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = w + 3; h = y + 1; p = x + 9; j = l + 20; z = p + 11; d = u + 16; l = w + 9; y = j + 13; b = z + 3; v = b + 7; e = v + 7; u = h + 2; w = 18. If w = 18, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 2 to d, which gives d = h + 18.\n2. Substitute h = y + 1 to d, which gives d = y + 19.\n3. Substitute y = j + 13 to d, which gives d = j + 32.\n4. Substitute j = l + 20 to d, which gives d = l + 52.\n5. Substitute l = w + 9 to d, which gives d = w + 61.\n6. Substitute w = 18 to d, which gives d = 79.\n\nThus, the final answer is d = \\boxed{79}.",
"index": 8820,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = w + 3; h = y + 1; p = x + 9; j = l + 20; z = p + 11; d = u + 16; l = w + 9; y = j + 13; b = z + 3; v = b + 7; e = v + 7; u = h + 2; w = 18. If w = 18, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 20", "i": "o + 2", "x": "i + 9", "l": "x + 18", "j": "l + 7", "a": "j + 19", "e": "u + 13", "s": "e + 6", "w": "s + 15", "h": "w + 17", "y": "h + 11", "g": "y + 10", "u": 2}, "premises": {"u": 2}, "target": "a"}, "answer": {"steps": [["j", "l + 7", "l + 26"], ["l", "x + 18", "x + 44"], ["x", "i + 9", "i + 53"], ["i", "o + 2", "o + 55"], ["o", "u + 20", "u + 75"], ["u", 2, "77"]], "target_var_name": "a", "target_value": 77, "value_dict": {"u": 2}, "is_reverse": true}} | 8,821 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = s + 15; y = h + 11; x = i + 9; o = u + 20; a = j + 19; l = x + 18; s = e + 6; g = y + 10; i = o + 2; h = w + 17; j = l + 7; e = u + 13; u = 2. Given that u = 2, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 7 to a, which gives a = l + 26.\n2. Substitute l = x + 18 to a, which gives a = x + 44.\n3. Substitute x = i + 9 to a, which gives a = i + 53.\n4. Substitute i = o + 2 to a, which gives a = o + 55.\n5. Substitute o = u + 20 to a, which gives a = u + 75.\n6. Substitute u = 2 to a, which gives a = 77.\n\nThus, the final answer is a = \\boxed{77}.",
"index": 8821,
"question": "Suppose a collection of variables is related by the following definitions: w = s + 15; y = h + 11; x = i + 9; o = u + 20; a = j + 19; l = x + 18; s = e + 6; g = y + 10; i = o + 2; h = w + 17; j = l + 7; e = u + 13; u = 2. Given that u = 2, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 15", "u": "d + 14", "i": "u + 12", "h": "i + 15", "l": "h + 2", "e": "l + 5", "m": "j + 5", "n": "m + 18", "r": "n + 15", "q": "r + 3", "k": "q + 4", "t": "k + 12", "j": 9}, "premises": {"j": 9}, "target": "e"}, "answer": {"steps": [["l", "h + 2", "h + 7"], ["h", "i + 15", "i + 22"], ["i", "u + 12", "u + 34"], ["u", "d + 14", "d + 48"], ["d", "j + 15", "j + 63"], ["j", 9, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"j": 9}, "is_reverse": true}} | 8,822 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = 9; k = q + 4; n = m + 18; l = h + 2; m = j + 5; r = n + 15; h = i + 15; q = r + 3; e = l + 5; u = d + 14; i = u + 12; t = k + 12; d = j + 15. If j = 9, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 2 to e, which gives e = h + 7.\n2. Substitute h = i + 15 to e, which gives e = i + 22.\n3. Substitute i = u + 12 to e, which gives e = u + 34.\n4. Substitute u = d + 14 to e, which gives e = d + 48.\n5. Substitute d = j + 15 to e, which gives e = j + 63.\n6. Substitute j = 9 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 8822,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 9; k = q + 4; n = m + 18; l = h + 2; m = j + 5; r = n + 15; h = i + 15; q = r + 3; e = l + 5; u = d + 14; i = u + 12; t = k + 12; d = j + 15. If j = 9, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 9", "a": "y + 1", "p": "a + 6", "v": "p + 8", "i": "v + 1", "s": "i + 1", "o": "r + 6", "n": "o + 14", "f": "n + 7", "w": "f + 17", "l": "w + 9", "k": "l + 18", "r": 12}, "premises": {"r": 12}, "target": "s"}, "answer": {"steps": [["i", "v + 1", "v + 2"], ["v", "p + 8", "p + 10"], ["p", "a + 6", "a + 16"], ["a", "y + 1", "y + 17"], ["y", "r + 9", "r + 26"], ["r", 12, "38"]], "target_var_name": "s", "target_value": 38, "value_dict": {"r": 12}, "is_reverse": true}} | 8,823 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = o + 14; f = n + 7; l = w + 9; w = f + 17; i = v + 1; a = y + 1; v = p + 8; k = l + 18; y = r + 9; s = i + 1; o = r + 6; r = 12; p = a + 6. Given that r = 12, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 38,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 1 to s, which gives s = v + 2.\n2. Substitute v = p + 8 to s, which gives s = p + 10.\n3. Substitute p = a + 6 to s, which gives s = a + 16.\n4. Substitute a = y + 1 to s, which gives s = y + 17.\n5. Substitute y = r + 9 to s, which gives s = r + 26.\n6. Substitute r = 12 to s, which gives s = 38.\n\nThus, the final answer is s = \\boxed{38}.",
"index": 8823,
"question": "Suppose a collection of variables is related by the following definitions: n = o + 14; f = n + 7; l = w + 9; w = f + 17; i = v + 1; a = y + 1; v = p + 8; k = l + 18; y = r + 9; s = i + 1; o = r + 6; r = 12; p = a + 6. Given that r = 12, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "f + 19", "m": "r + 11", "w": "m + 20", "a": "w + 6", "p": "a + 6", "j": "p + 17", "x": "f + 19", "l": "x + 17", "c": "l + 8", "s": "c + 20", "g": "s + 16", "k": "g + 17", "f": 20}, "premises": {"f": 20}, "target": "j"}, "answer": {"steps": [["p", "a + 6", "a + 23"], ["a", "w + 6", "w + 29"], ["w", "m + 20", "m + 49"], ["m", "r + 11", "r + 60"], ["r", "f + 19", "f + 79"], ["f", 20, "99"]], "target_var_name": "j", "target_value": 99, "value_dict": {"f": 20}, "is_reverse": true}} | 8,824 | 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 + 19; l = x + 17; k = g + 17; x = f + 19; p = a + 6; f = 20; m = r + 11; a = w + 6; c = l + 8; g = s + 16; w = m + 20; s = c + 20; j = p + 17. If f = 20, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 6 to j, which gives j = a + 23.\n2. Substitute a = w + 6 to j, which gives j = w + 29.\n3. Substitute w = m + 20 to j, which gives j = m + 49.\n4. Substitute m = r + 11 to j, which gives j = r + 60.\n5. Substitute r = f + 19 to j, which gives j = f + 79.\n6. Substitute f = 20 to j, which gives j = 99.\n\nThus, the final answer is j = \\boxed{99}.",
"index": 8824,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = f + 19; l = x + 17; k = g + 17; x = f + 19; p = a + 6; f = 20; m = r + 11; a = w + 6; c = l + 8; g = s + 16; w = m + 20; s = c + 20; j = p + 17. If f = 20, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"f": "w + 2", "d": "f + 2", "p": "d + 10", "r": "p + 9", "m": "r + 14", "g": "m + 18", "b": "w + 20", "z": "b + 10", "h": "z + 13", "o": "h + 16", "x": "o + 2", "q": "x + 18", "w": 11}, "premises": {"w": 11}, "target": "g"}, "answer": {"steps": [["m", "r + 14", "r + 32"], ["r", "p + 9", "p + 41"], ["p", "d + 10", "d + 51"], ["d", "f + 2", "f + 53"], ["f", "w + 2", "w + 55"], ["w", 11, "66"]], "target_var_name": "g", "target_value": 66, "value_dict": {"w": 11}, "is_reverse": true}} | 8,825 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 2; r = p + 9; b = w + 20; w = 11; d = f + 2; f = w + 2; q = x + 18; o = h + 16; z = b + 10; h = z + 13; p = d + 10; m = r + 14; g = m + 18. If w = 11, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 14 to g, which gives g = r + 32.\n2. Substitute r = p + 9 to g, which gives g = p + 41.\n3. Substitute p = d + 10 to g, which gives g = d + 51.\n4. Substitute d = f + 2 to g, which gives g = f + 53.\n5. Substitute f = w + 2 to g, which gives g = w + 55.\n6. Substitute w = 11 to g, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 8825,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 2; r = p + 9; b = w + 20; w = 11; d = f + 2; f = w + 2; q = x + 18; o = h + 16; z = b + 10; h = z + 13; p = d + 10; m = r + 14; g = m + 18. If w = 11, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 9", "q": "v + 5", "t": "q + 19", "u": "t + 13", "z": "u + 11", "c": "z + 12", "a": "b + 3", "d": "a + 8", "l": "d + 19", "i": "l + 10", "x": "i + 6", "e": "x + 8", "b": 3}, "premises": {"b": 3}, "target": "c"}, "answer": {"steps": [["z", "u + 11", "u + 23"], ["u", "t + 13", "t + 36"], ["t", "q + 19", "q + 55"], ["q", "v + 5", "v + 60"], ["v", "b + 9", "b + 69"], ["b", 3, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"b": 3}, "is_reverse": true}} | 8,826 | 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 + 5; t = q + 19; u = t + 13; i = l + 10; z = u + 11; v = b + 9; a = b + 3; b = 3; d = a + 8; c = z + 12; e = x + 8; l = d + 19; x = i + 6. If b = 3, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 11 to c, which gives c = u + 23.\n2. Substitute u = t + 13 to c, which gives c = t + 36.\n3. Substitute t = q + 19 to c, which gives c = q + 55.\n4. Substitute q = v + 5 to c, which gives c = v + 60.\n5. Substitute v = b + 9 to c, which gives c = b + 69.\n6. Substitute b = 3 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 8826,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = v + 5; t = q + 19; u = t + 13; i = l + 10; z = u + 11; v = b + 9; a = b + 3; b = 3; d = a + 8; c = z + 12; e = x + 8; l = d + 19; x = i + 6. If b = 3, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 13", "t": "u + 20", "w": "t + 2", "z": "w + 14", "a": "z + 3", "d": "a + 19", "x": "b + 8", "i": "x + 5", "s": "i + 3", "m": "s + 4", "v": "m + 1", "r": "v + 14", "b": 6}, "premises": {"b": 6}, "target": "d"}, "answer": {"steps": [["a", "z + 3", "z + 22"], ["z", "w + 14", "w + 36"], ["w", "t + 2", "t + 38"], ["t", "u + 20", "u + 58"], ["u", "b + 13", "b + 71"], ["b", 6, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"b": 6}, "is_reverse": true}} | 8,827 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 14; u = b + 13; w = t + 2; a = z + 3; b = 6; v = m + 1; s = i + 3; r = v + 14; t = u + 20; i = x + 5; d = a + 19; m = s + 4; x = b + 8. If b = 6, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 3 to d, which gives d = z + 22.\n2. Substitute z = w + 14 to d, which gives d = w + 36.\n3. Substitute w = t + 2 to d, which gives d = t + 38.\n4. Substitute t = u + 20 to d, which gives d = u + 58.\n5. Substitute u = b + 13 to d, which gives d = b + 71.\n6. Substitute b = 6 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 8827,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 14; u = b + 13; w = t + 2; a = z + 3; b = 6; v = m + 1; s = i + 3; r = v + 14; t = u + 20; i = x + 5; d = a + 19; m = s + 4; x = b + 8. If b = 6, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 15", "b": "t + 9", "k": "b + 6", "y": "k + 15", "c": "y + 5", "w": "c + 5", "o": "f + 8", "h": "o + 8", "d": "h + 17", "q": "d + 5", "z": "q + 5", "g": "z + 5", "f": 6}, "premises": {"f": 6}, "target": "w"}, "answer": {"steps": [["c", "y + 5", "y + 10"], ["y", "k + 15", "k + 25"], ["k", "b + 6", "b + 31"], ["b", "t + 9", "t + 40"], ["t", "f + 15", "f + 55"], ["f", 6, "61"]], "target_var_name": "w", "target_value": 61, "value_dict": {"f": 6}, "is_reverse": true}} | 8,828 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = y + 5; k = b + 6; d = h + 17; b = t + 9; g = z + 5; q = d + 5; h = o + 8; y = k + 15; w = c + 5; o = f + 8; z = q + 5; f = 6; t = f + 15. Given that f = 6, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 5 to w, which gives w = y + 10.\n2. Substitute y = k + 15 to w, which gives w = k + 25.\n3. Substitute k = b + 6 to w, which gives w = b + 31.\n4. Substitute b = t + 9 to w, which gives w = t + 40.\n5. Substitute t = f + 15 to w, which gives w = f + 55.\n6. Substitute f = 6 to w, which gives w = 61.\n\nThus, the final answer is w = \\boxed{61}.",
"index": 8828,
"question": "Suppose a collection of variables is related by the following definitions: c = y + 5; k = b + 6; d = h + 17; b = t + 9; g = z + 5; q = d + 5; h = o + 8; y = k + 15; w = c + 5; o = f + 8; z = q + 5; f = 6; t = f + 15. Given that f = 6, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 3", "l": "k + 15", "s": "l + 15", "m": "s + 6", "r": "m + 6", "e": "r + 16", "n": "f + 5", "p": "n + 19", "g": "p + 16", "i": "g + 18", "w": "i + 15", "u": "w + 2", "f": 13}, "premises": {"f": 13}, "target": "e"}, "answer": {"steps": [["r", "m + 6", "m + 22"], ["m", "s + 6", "s + 28"], ["s", "l + 15", "l + 43"], ["l", "k + 15", "k + 58"], ["k", "f + 3", "f + 61"], ["f", 13, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"f": 13}, "is_reverse": true}} | 8,829 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = r + 16; p = n + 19; g = p + 16; f = 13; n = f + 5; i = g + 18; l = k + 15; m = s + 6; k = f + 3; s = l + 15; r = m + 6; u = w + 2; w = i + 15. If f = 13, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = m + 6 to e, which gives e = m + 22.\n2. Substitute m = s + 6 to e, which gives e = s + 28.\n3. Substitute s = l + 15 to e, which gives e = l + 43.\n4. Substitute l = k + 15 to e, which gives e = k + 58.\n5. Substitute k = f + 3 to e, which gives e = f + 61.\n6. Substitute f = 13 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 8829,
"question": "Consider a system of variables where each variable is defined as follows: e = r + 16; p = n + 19; g = p + 16; f = 13; n = f + 5; i = g + 18; l = k + 15; m = s + 6; k = f + 3; s = l + 15; r = m + 6; u = w + 2; w = i + 15. If f = 13, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 8", "f": "n + 8", "j": "f + 13", "s": "j + 14", "c": "s + 11", "k": "c + 15", "a": "u + 5", "m": "a + 7", "y": "m + 8", "g": "y + 19", "v": "g + 2", "l": "v + 18", "u": 19}, "premises": {"u": 19}, "target": "k"}, "answer": {"steps": [["c", "s + 11", "s + 26"], ["s", "j + 14", "j + 40"], ["j", "f + 13", "f + 53"], ["f", "n + 8", "n + 61"], ["n", "u + 8", "u + 69"], ["u", 19, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"u": 19}, "is_reverse": true}} | 8,830 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = u + 8; f = n + 8; v = g + 2; m = a + 7; k = c + 15; j = f + 13; u = 19; y = m + 8; c = s + 11; l = v + 18; s = j + 14; g = y + 19; a = u + 5. If u = 19, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 11 to k, which gives k = s + 26.\n2. Substitute s = j + 14 to k, which gives k = j + 40.\n3. Substitute j = f + 13 to k, which gives k = f + 53.\n4. Substitute f = n + 8 to k, which gives k = n + 61.\n5. Substitute n = u + 8 to k, which gives k = u + 69.\n6. Substitute u = 19 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 8830,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = u + 8; f = n + 8; v = g + 2; m = a + 7; k = c + 15; j = f + 13; u = 19; y = m + 8; c = s + 11; l = v + 18; s = j + 14; g = y + 19; a = u + 5. If u = 19, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 7", "l": "e + 13", "q": "l + 7", "j": "q + 17", "u": "j + 3", "w": "u + 17", "t": "p + 6", "r": "t + 14", "k": "r + 8", "h": "k + 5", "x": "h + 16", "g": "x + 11", "p": 20}, "premises": {"p": 20}, "target": "w"}, "answer": {"steps": [["u", "j + 3", "j + 20"], ["j", "q + 17", "q + 37"], ["q", "l + 7", "l + 44"], ["l", "e + 13", "e + 57"], ["e", "p + 7", "p + 64"], ["p", 20, "84"]], "target_var_name": "w", "target_value": 84, "value_dict": {"p": 20}, "is_reverse": true}} | 8,831 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = t + 14; k = r + 8; h = k + 5; j = q + 17; g = x + 11; x = h + 16; q = l + 7; w = u + 17; t = p + 6; e = p + 7; u = j + 3; p = 20; l = e + 13. If p = 20, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 3 to w, which gives w = j + 20.\n2. Substitute j = q + 17 to w, which gives w = q + 37.\n3. Substitute q = l + 7 to w, which gives w = l + 44.\n4. Substitute l = e + 13 to w, which gives w = e + 57.\n5. Substitute e = p + 7 to w, which gives w = p + 64.\n6. Substitute p = 20 to w, which gives w = 84.\n\nThus, the final answer is w = \\boxed{84}.",
"index": 8831,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = t + 14; k = r + 8; h = k + 5; j = q + 17; g = x + 11; x = h + 16; q = l + 7; w = u + 17; t = p + 6; e = p + 7; u = j + 3; p = 20; l = e + 13. If p = 20, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 5", "y": "i + 14", "k": "y + 17", "c": "k + 17", "u": "c + 1", "x": "u + 7", "l": "o + 16", "q": "l + 9", "j": "q + 12", "d": "j + 18", "w": "d + 20", "g": "w + 7", "o": 1}, "premises": {"o": 1}, "target": "x"}, "answer": {"steps": [["u", "c + 1", "c + 8"], ["c", "k + 17", "k + 25"], ["k", "y + 17", "y + 42"], ["y", "i + 14", "i + 56"], ["i", "o + 5", "o + 61"], ["o", 1, "62"]], "target_var_name": "x", "target_value": 62, "value_dict": {"o": 1}, "is_reverse": true}} | 8,832 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = 1; q = l + 9; x = u + 7; g = w + 7; d = j + 18; k = y + 17; u = c + 1; i = o + 5; j = q + 12; c = k + 17; y = i + 14; l = o + 16; w = d + 20. Given that o = 1, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 1 to x, which gives x = c + 8.\n2. Substitute c = k + 17 to x, which gives x = k + 25.\n3. Substitute k = y + 17 to x, which gives x = y + 42.\n4. Substitute y = i + 14 to x, which gives x = i + 56.\n5. Substitute i = o + 5 to x, which gives x = o + 61.\n6. Substitute o = 1 to x, which gives x = 62.\n\nThus, the final answer is x = \\boxed{62}.",
"index": 8832,
"question": "Suppose a collection of variables is related by the following definitions: o = 1; q = l + 9; x = u + 7; g = w + 7; d = j + 18; k = y + 17; u = c + 1; i = o + 5; j = q + 12; c = k + 17; y = i + 14; l = o + 16; w = d + 20. Given that o = 1, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 3", "l": "p + 10", "f": "l + 13", "h": "f + 20", "z": "h + 20", "s": "z + 16", "t": "c + 9", "w": "t + 9", "e": "w + 15", "j": "e + 3", "r": "j + 6", "b": "r + 13", "c": 4}, "premises": {"c": 4}, "target": "s"}, "answer": {"steps": [["z", "h + 20", "h + 36"], ["h", "f + 20", "f + 56"], ["f", "l + 13", "l + 69"], ["l", "p + 10", "p + 79"], ["p", "c + 3", "c + 82"], ["c", 4, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"c": 4}, "is_reverse": true}} | 8,833 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = t + 9; e = w + 15; p = c + 3; s = z + 16; l = p + 10; z = h + 20; j = e + 3; c = 4; h = f + 20; r = j + 6; t = c + 9; b = r + 13; f = l + 13. If c = 4, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 20 to s, which gives s = h + 36.\n2. Substitute h = f + 20 to s, which gives s = f + 56.\n3. Substitute f = l + 13 to s, which gives s = l + 69.\n4. Substitute l = p + 10 to s, which gives s = p + 79.\n5. Substitute p = c + 3 to s, which gives s = c + 82.\n6. Substitute c = 4 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 8833,
"question": "Consider a system of variables where each variable is defined as follows: w = t + 9; e = w + 15; p = c + 3; s = z + 16; l = p + 10; z = h + 20; j = e + 3; c = 4; h = f + 20; r = j + 6; t = c + 9; b = r + 13; f = l + 13. If c = 4, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 4", "f": "r + 12", "m": "f + 20", "l": "m + 14", "e": "l + 12", "a": "e + 7", "v": "z + 15", "n": "v + 5", "o": "n + 5", "x": "o + 1", "p": "x + 7", "d": "p + 19", "z": 2}, "premises": {"z": 2}, "target": "a"}, "answer": {"steps": [["e", "l + 12", "l + 19"], ["l", "m + 14", "m + 33"], ["m", "f + 20", "f + 53"], ["f", "r + 12", "r + 65"], ["r", "z + 4", "z + 69"], ["z", 2, "71"]], "target_var_name": "a", "target_value": 71, "value_dict": {"z": 2}, "is_reverse": true}} | 8,834 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = r + 12; r = z + 4; o = n + 5; d = p + 19; v = z + 15; a = e + 7; z = 2; p = x + 7; n = v + 5; e = l + 12; l = m + 14; m = f + 20; x = o + 1. If z = 2, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 12 to a, which gives a = l + 19.\n2. Substitute l = m + 14 to a, which gives a = m + 33.\n3. Substitute m = f + 20 to a, which gives a = f + 53.\n4. Substitute f = r + 12 to a, which gives a = r + 65.\n5. Substitute r = z + 4 to a, which gives a = z + 69.\n6. Substitute z = 2 to a, which gives a = 71.\n\nThus, the final answer is a = \\boxed{71}.",
"index": 8834,
"question": "Consider a system of variables where each variable is defined as follows: f = r + 12; r = z + 4; o = n + 5; d = p + 19; v = z + 15; a = e + 7; z = 2; p = x + 7; n = v + 5; e = l + 12; l = m + 14; m = f + 20; x = o + 1. If z = 2, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 16", "m": "z + 3", "s": "m + 6", "o": "s + 20", "x": "o + 2", "v": "x + 15", "j": "q + 17", "e": "j + 9", "u": "e + 12", "l": "u + 12", "n": "l + 6", "d": "n + 12", "q": 7}, "premises": {"q": 7}, "target": "v"}, "answer": {"steps": [["x", "o + 2", "o + 17"], ["o", "s + 20", "s + 37"], ["s", "m + 6", "m + 43"], ["m", "z + 3", "z + 46"], ["z", "q + 16", "q + 62"], ["q", 7, "69"]], "target_var_name": "v", "target_value": 69, "value_dict": {"q": 7}, "is_reverse": true}} | 8,835 | 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 = q + 17; l = u + 12; v = x + 15; x = o + 2; s = m + 6; d = n + 12; o = s + 20; q = 7; e = j + 9; z = q + 16; n = l + 6; u = e + 12; m = z + 3. If q = 7, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 2 to v, which gives v = o + 17.\n2. Substitute o = s + 20 to v, which gives v = s + 37.\n3. Substitute s = m + 6 to v, which gives v = m + 43.\n4. Substitute m = z + 3 to v, which gives v = z + 46.\n5. Substitute z = q + 16 to v, which gives v = q + 62.\n6. Substitute q = 7 to v, which gives v = 69.\n\nThus, the final answer is v = \\boxed{69}.",
"index": 8835,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = q + 17; l = u + 12; v = x + 15; x = o + 2; s = m + 6; d = n + 12; o = s + 20; q = 7; e = j + 9; z = q + 16; n = l + 6; u = e + 12; m = z + 3. If q = 7, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"m": "j + 12", "l": "m + 7", "c": "l + 15", "o": "c + 12", "y": "o + 16", "s": "y + 20", "r": "j + 9", "h": "r + 17", "n": "h + 8", "u": "n + 19", "t": "u + 9", "b": "t + 17", "j": 5}, "premises": {"j": 5}, "target": "s"}, "answer": {"steps": [["y", "o + 16", "o + 36"], ["o", "c + 12", "c + 48"], ["c", "l + 15", "l + 63"], ["l", "m + 7", "m + 70"], ["m", "j + 12", "j + 82"], ["j", 5, "87"]], "target_var_name": "s", "target_value": 87, "value_dict": {"j": 5}, "is_reverse": true}} | 8,836 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = u + 9; o = c + 12; b = t + 17; j = 5; m = j + 12; s = y + 20; y = o + 16; n = h + 8; c = l + 15; l = m + 7; h = r + 17; r = j + 9; u = n + 19. If j = 5, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 16 to s, which gives s = o + 36.\n2. Substitute o = c + 12 to s, which gives s = c + 48.\n3. Substitute c = l + 15 to s, which gives s = l + 63.\n4. Substitute l = m + 7 to s, which gives s = m + 70.\n5. Substitute m = j + 12 to s, which gives s = j + 82.\n6. Substitute j = 5 to s, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 8836,
"question": "Consider a system of variables where each variable is defined as follows: t = u + 9; o = c + 12; b = t + 17; j = 5; m = j + 12; s = y + 20; y = o + 16; n = h + 8; c = l + 15; l = m + 7; h = r + 17; r = j + 9; u = n + 19. If j = 5, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 7", "n": "z + 13", "u": "n + 4", "t": "u + 11", "f": "t + 2", "a": "f + 16", "i": "m + 14", "g": "i + 4", "q": "g + 17", "o": "q + 5", "c": "o + 1", "e": "c + 15", "m": 9}, "premises": {"m": 9}, "target": "a"}, "answer": {"steps": [["f", "t + 2", "t + 18"], ["t", "u + 11", "u + 29"], ["u", "n + 4", "n + 33"], ["n", "z + 13", "z + 46"], ["z", "m + 7", "m + 53"], ["m", 9, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"m": 9}, "is_reverse": true}} | 8,837 | 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 = n + 4; z = m + 7; q = g + 17; n = z + 13; o = q + 5; a = f + 16; t = u + 11; e = c + 15; c = o + 1; i = m + 14; m = 9; f = t + 2; g = i + 4. If m = 9, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 2 to a, which gives a = t + 18.\n2. Substitute t = u + 11 to a, which gives a = u + 29.\n3. Substitute u = n + 4 to a, which gives a = n + 33.\n4. Substitute n = z + 13 to a, which gives a = z + 46.\n5. Substitute z = m + 7 to a, which gives a = m + 53.\n6. Substitute m = 9 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 8837,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = n + 4; z = m + 7; q = g + 17; n = z + 13; o = q + 5; a = f + 16; t = u + 11; e = c + 15; c = o + 1; i = m + 14; m = 9; f = t + 2; g = i + 4. If m = 9, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"q": "v + 15", "a": "q + 3", "p": "a + 7", "i": "p + 3", "h": "i + 13", "t": "h + 12", "z": "v + 18", "g": "z + 10", "o": "g + 16", "c": "o + 12", "l": "c + 17", "e": "l + 5", "v": 19}, "premises": {"v": 19}, "target": "t"}, "answer": {"steps": [["h", "i + 13", "i + 25"], ["i", "p + 3", "p + 28"], ["p", "a + 7", "a + 35"], ["a", "q + 3", "q + 38"], ["q", "v + 15", "v + 53"], ["v", 19, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"v": 19}, "is_reverse": true}} | 8,838 | 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 + 15; e = l + 5; g = z + 10; i = p + 3; l = c + 17; t = h + 12; a = q + 3; h = i + 13; o = g + 16; p = a + 7; v = 19; z = v + 18; c = o + 12. If v = 19, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 13 to t, which gives t = i + 25.\n2. Substitute i = p + 3 to t, which gives t = p + 28.\n3. Substitute p = a + 7 to t, which gives t = a + 35.\n4. Substitute a = q + 3 to t, which gives t = q + 38.\n5. Substitute q = v + 15 to t, which gives t = v + 53.\n6. Substitute v = 19 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 8838,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = v + 15; e = l + 5; g = z + 10; i = p + 3; l = c + 17; t = h + 12; a = q + 3; h = i + 13; o = g + 16; p = a + 7; v = 19; z = v + 18; c = o + 12. If v = 19, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"e": "y + 16", "x": "e + 16", "b": "x + 14", "f": "b + 12", "q": "f + 12", "c": "q + 13", "n": "y + 16", "m": "n + 3", "z": "m + 5", "i": "z + 14", "u": "i + 18", "t": "u + 9", "y": 14}, "premises": {"y": 14}, "target": "c"}, "answer": {"steps": [["q", "f + 12", "f + 25"], ["f", "b + 12", "b + 37"], ["b", "x + 14", "x + 51"], ["x", "e + 16", "e + 67"], ["e", "y + 16", "y + 83"], ["y", 14, "97"]], "target_var_name": "c", "target_value": 97, "value_dict": {"y": 14}, "is_reverse": true}} | 8,839 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = u + 9; y = 14; n = y + 16; q = f + 12; e = y + 16; z = m + 5; f = b + 12; c = q + 13; m = n + 3; b = x + 14; u = i + 18; x = e + 16; i = z + 14. Given that y = 14, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 12 to c, which gives c = f + 25.\n2. Substitute f = b + 12 to c, which gives c = b + 37.\n3. Substitute b = x + 14 to c, which gives c = x + 51.\n4. Substitute x = e + 16 to c, which gives c = e + 67.\n5. Substitute e = y + 16 to c, which gives c = y + 83.\n6. Substitute y = 14 to c, which gives c = 97.\n\nThus, the final answer is c = \\boxed{97}.",
"index": 8839,
"question": "Suppose a collection of variables is related by the following definitions: t = u + 9; y = 14; n = y + 16; q = f + 12; e = y + 16; z = m + 5; f = b + 12; c = q + 13; m = n + 3; b = x + 14; u = i + 18; x = e + 16; i = z + 14. Given that y = 14, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 17", "e": "s + 5", "w": "e + 4", "x": "w + 4", "f": "x + 8", "o": "f + 14", "p": "t + 5", "k": "p + 10", "d": "k + 11", "c": "d + 1", "y": "c + 8", "j": "y + 20", "t": 8}, "premises": {"t": 8}, "target": "o"}, "answer": {"steps": [["f", "x + 8", "x + 22"], ["x", "w + 4", "w + 26"], ["w", "e + 4", "e + 30"], ["e", "s + 5", "s + 35"], ["s", "t + 17", "t + 52"], ["t", 8, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"t": 8}, "is_reverse": true}} | 8,840 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = t + 5; t = 8; e = s + 5; y = c + 8; f = x + 8; s = t + 17; d = k + 11; k = p + 10; j = y + 20; c = d + 1; x = w + 4; o = f + 14; w = e + 4. If t = 8, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 8 to o, which gives o = x + 22.\n2. Substitute x = w + 4 to o, which gives o = w + 26.\n3. Substitute w = e + 4 to o, which gives o = e + 30.\n4. Substitute e = s + 5 to o, which gives o = s + 35.\n5. Substitute s = t + 17 to o, which gives o = t + 52.\n6. Substitute t = 8 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 8840,
"question": "Consider a system of variables where each variable is defined as follows: p = t + 5; t = 8; e = s + 5; y = c + 8; f = x + 8; s = t + 17; d = k + 11; k = p + 10; j = y + 20; c = d + 1; x = w + 4; o = f + 14; w = e + 4. If t = 8, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 5", "d": "b + 14", "j": "d + 5", "x": "j + 20", "t": "x + 5", "i": "t + 17", "o": "n + 4", "e": "o + 8", "s": "e + 20", "k": "s + 5", "p": "k + 12", "g": "p + 17", "n": 17}, "premises": {"n": 17}, "target": "i"}, "answer": {"steps": [["t", "x + 5", "x + 22"], ["x", "j + 20", "j + 42"], ["j", "d + 5", "d + 47"], ["d", "b + 14", "b + 61"], ["b", "n + 5", "n + 66"], ["n", 17, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"n": 17}, "is_reverse": true}} | 8,841 | 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 = t + 17; b = n + 5; d = b + 14; t = x + 5; n = 17; s = e + 20; e = o + 8; p = k + 12; k = s + 5; j = d + 5; o = n + 4; g = p + 17; x = j + 20. If n = 17, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 5 to i, which gives i = x + 22.\n2. Substitute x = j + 20 to i, which gives i = j + 42.\n3. Substitute j = d + 5 to i, which gives i = d + 47.\n4. Substitute d = b + 14 to i, which gives i = b + 61.\n5. Substitute b = n + 5 to i, which gives i = n + 66.\n6. Substitute n = 17 to i, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 8841,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 17; b = n + 5; d = b + 14; t = x + 5; n = 17; s = e + 20; e = o + 8; p = k + 12; k = s + 5; j = d + 5; o = n + 4; g = p + 17; x = j + 20. If n = 17, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 13", "b": "s + 17", "k": "b + 16", "j": "k + 20", "l": "j + 8", "i": "l + 2", "r": "q + 7", "p": "r + 13", "g": "p + 10", "z": "g + 16", "d": "z + 18", "t": "d + 7", "q": 4}, "premises": {"q": 4}, "target": "i"}, "answer": {"steps": [["l", "j + 8", "j + 10"], ["j", "k + 20", "k + 30"], ["k", "b + 16", "b + 46"], ["b", "s + 17", "s + 63"], ["s", "q + 13", "q + 76"], ["q", 4, "80"]], "target_var_name": "i", "target_value": 80, "value_dict": {"q": 4}, "is_reverse": true}} | 8,842 | 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 = l + 2; b = s + 17; d = z + 18; z = g + 16; s = q + 13; r = q + 7; l = j + 8; j = k + 20; p = r + 13; q = 4; g = p + 10; k = b + 16; t = d + 7. If q = 4, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 8 to i, which gives i = j + 10.\n2. Substitute j = k + 20 to i, which gives i = k + 30.\n3. Substitute k = b + 16 to i, which gives i = b + 46.\n4. Substitute b = s + 17 to i, which gives i = s + 63.\n5. Substitute s = q + 13 to i, which gives i = q + 76.\n6. Substitute q = 4 to i, which gives i = 80.\n\nThus, the final answer is i = \\boxed{80}.",
"index": 8842,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = l + 2; b = s + 17; d = z + 18; z = g + 16; s = q + 13; r = q + 7; l = j + 8; j = k + 20; p = r + 13; q = 4; g = p + 10; k = b + 16; t = d + 7. If q = 4, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 4", "r": "o + 16", "i": "r + 10", "v": "i + 3", "h": "v + 1", "m": "h + 2", "k": "t + 19", "w": "k + 16", "x": "w + 1", "g": "x + 1", "q": "g + 9", "n": "q + 13", "t": 17}, "premises": {"t": 17}, "target": "m"}, "answer": {"steps": [["h", "v + 1", "v + 3"], ["v", "i + 3", "i + 6"], ["i", "r + 10", "r + 16"], ["r", "o + 16", "o + 32"], ["o", "t + 4", "t + 36"], ["t", 17, "53"]], "target_var_name": "m", "target_value": 53, "value_dict": {"t": 17}, "is_reverse": true}} | 8,843 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = o + 16; v = i + 3; t = 17; n = q + 13; k = t + 19; i = r + 10; g = x + 1; o = t + 4; h = v + 1; w = k + 16; m = h + 2; q = g + 9; x = w + 1. Given that t = 17, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 1 to m, which gives m = v + 3.\n2. Substitute v = i + 3 to m, which gives m = i + 6.\n3. Substitute i = r + 10 to m, which gives m = r + 16.\n4. Substitute r = o + 16 to m, which gives m = o + 32.\n5. Substitute o = t + 4 to m, which gives m = t + 36.\n6. Substitute t = 17 to m, which gives m = 53.\n\nThus, the final answer is m = \\boxed{53}.",
"index": 8843,
"question": "Suppose a collection of variables is related by the following definitions: r = o + 16; v = i + 3; t = 17; n = q + 13; k = t + 19; i = r + 10; g = x + 1; o = t + 4; h = v + 1; w = k + 16; m = h + 2; q = g + 9; x = w + 1. Given that t = 17, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "v + 10", "u": "s + 16", "x": "u + 13", "g": "x + 5", "w": "g + 11", "j": "w + 2", "n": "v + 6", "q": "n + 12", "l": "q + 15", "b": "l + 16", "c": "b + 8", "f": "c + 7", "v": 17}, "premises": {"v": 17}, "target": "j"}, "answer": {"steps": [["w", "g + 11", "g + 13"], ["g", "x + 5", "x + 18"], ["x", "u + 13", "u + 31"], ["u", "s + 16", "s + 47"], ["s", "v + 10", "v + 57"], ["v", 17, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"v": 17}, "is_reverse": true}} | 8,844 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 12; u = s + 16; l = q + 15; n = v + 6; j = w + 2; b = l + 16; g = x + 5; f = c + 7; c = b + 8; s = v + 10; x = u + 13; v = 17; w = g + 11. If v = 17, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 11 to j, which gives j = g + 13.\n2. Substitute g = x + 5 to j, which gives j = x + 18.\n3. Substitute x = u + 13 to j, which gives j = u + 31.\n4. Substitute u = s + 16 to j, which gives j = s + 47.\n5. Substitute s = v + 10 to j, which gives j = v + 57.\n6. Substitute v = 17 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 8844,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 12; u = s + 16; l = q + 15; n = v + 6; j = w + 2; b = l + 16; g = x + 5; f = c + 7; c = b + 8; s = v + 10; x = u + 13; v = 17; w = g + 11. If v = 17, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 13", "y": "l + 1", "c": "y + 18", "v": "c + 1", "a": "v + 11", "b": "a + 8", "z": "x + 17", "j": "z + 3", "u": "j + 16", "w": "u + 17", "n": "w + 7", "o": "n + 20", "x": 6}, "premises": {"x": 6}, "target": "b"}, "answer": {"steps": [["a", "v + 11", "v + 19"], ["v", "c + 1", "c + 20"], ["c", "y + 18", "y + 38"], ["y", "l + 1", "l + 39"], ["l", "x + 13", "x + 52"], ["x", 6, "58"]], "target_var_name": "b", "target_value": 58, "value_dict": {"x": 6}, "is_reverse": true}} | 8,845 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = x + 13; o = n + 20; x = 6; n = w + 7; y = l + 1; a = v + 11; j = z + 3; w = u + 17; c = y + 18; z = x + 17; b = a + 8; u = j + 16; v = c + 1. If x = 6, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 11 to b, which gives b = v + 19.\n2. Substitute v = c + 1 to b, which gives b = c + 20.\n3. Substitute c = y + 18 to b, which gives b = y + 38.\n4. Substitute y = l + 1 to b, which gives b = l + 39.\n5. Substitute l = x + 13 to b, which gives b = x + 52.\n6. Substitute x = 6 to b, which gives b = 58.\n\nThus, the final answer is b = \\boxed{58}.",
"index": 8845,
"question": "Consider a system of variables where each variable is defined as follows: l = x + 13; o = n + 20; x = 6; n = w + 7; y = l + 1; a = v + 11; j = z + 3; w = u + 17; c = y + 18; z = x + 17; b = a + 8; u = j + 16; v = c + 1. If x = 6, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"l": "c + 2", "z": "l + 12", "j": "z + 17", "t": "j + 11", "k": "t + 8", "a": "k + 19", "p": "c + 20", "i": "p + 11", "q": "i + 14", "w": "q + 6", "x": "w + 5", "y": "x + 18", "c": 11}, "premises": {"c": 11}, "target": "a"}, "answer": {"steps": [["k", "t + 8", "t + 27"], ["t", "j + 11", "j + 38"], ["j", "z + 17", "z + 55"], ["z", "l + 12", "l + 67"], ["l", "c + 2", "c + 69"], ["c", 11, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"c": 11}, "is_reverse": true}} | 8,846 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = x + 18; w = q + 6; i = p + 11; t = j + 11; j = z + 17; x = w + 5; z = l + 12; l = c + 2; q = i + 14; a = k + 19; k = t + 8; p = c + 20; c = 11. If c = 11, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 8 to a, which gives a = t + 27.\n2. Substitute t = j + 11 to a, which gives a = j + 38.\n3. Substitute j = z + 17 to a, which gives a = z + 55.\n4. Substitute z = l + 12 to a, which gives a = l + 67.\n5. Substitute l = c + 2 to a, which gives a = c + 69.\n6. Substitute c = 11 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 8846,
"question": "Consider a system of variables where each variable is defined as follows: y = x + 18; w = q + 6; i = p + 11; t = j + 11; j = z + 17; x = w + 5; z = l + 12; l = c + 2; q = i + 14; a = k + 19; k = t + 8; p = c + 20; c = 11. If c = 11, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 9", "c": "x + 13", "m": "c + 8", "o": "m + 17", "u": "o + 10", "s": "u + 16", "e": "w + 8", "k": "e + 14", "b": "k + 10", "n": "b + 10", "l": "n + 11", "q": "l + 11", "w": 3}, "premises": {"w": 3}, "target": "s"}, "answer": {"steps": [["u", "o + 10", "o + 26"], ["o", "m + 17", "m + 43"], ["m", "c + 8", "c + 51"], ["c", "x + 13", "x + 64"], ["x", "w + 9", "w + 73"], ["w", 3, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"w": 3}, "is_reverse": true}} | 8,847 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = e + 14; w = 3; q = l + 11; s = u + 16; c = x + 13; e = w + 8; u = o + 10; x = w + 9; n = b + 10; b = k + 10; m = c + 8; l = n + 11; o = m + 17. Given that w = 3, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 10 to s, which gives s = o + 26.\n2. Substitute o = m + 17 to s, which gives s = m + 43.\n3. Substitute m = c + 8 to s, which gives s = c + 51.\n4. Substitute c = x + 13 to s, which gives s = x + 64.\n5. Substitute x = w + 9 to s, which gives s = w + 73.\n6. Substitute w = 3 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 8847,
"question": "Suppose a collection of variables is related by the following definitions: k = e + 14; w = 3; q = l + 11; s = u + 16; c = x + 13; e = w + 8; u = o + 10; x = w + 9; n = b + 10; b = k + 10; m = c + 8; l = n + 11; o = m + 17. Given that w = 3, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 12", "r": "n + 5", "k": "r + 1", "a": "k + 8", "j": "a + 14", "t": "j + 16", "o": "c + 11", "w": "o + 12", "z": "w + 6", "q": "z + 3", "v": "q + 2", "x": "v + 6", "c": 1}, "premises": {"c": 1}, "target": "t"}, "answer": {"steps": [["j", "a + 14", "a + 30"], ["a", "k + 8", "k + 38"], ["k", "r + 1", "r + 39"], ["r", "n + 5", "n + 44"], ["n", "c + 12", "c + 56"], ["c", 1, "57"]], "target_var_name": "t", "target_value": 57, "value_dict": {"c": 1}, "is_reverse": true}} | 8,848 | 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 + 6; z = w + 6; j = a + 14; r = n + 5; a = k + 8; v = q + 2; o = c + 11; c = 1; w = o + 12; k = r + 1; t = j + 16; n = c + 12; q = z + 3. If c = 1, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 14 to t, which gives t = a + 30.\n2. Substitute a = k + 8 to t, which gives t = k + 38.\n3. Substitute k = r + 1 to t, which gives t = r + 39.\n4. Substitute r = n + 5 to t, which gives t = n + 44.\n5. Substitute n = c + 12 to t, which gives t = c + 56.\n6. Substitute c = 1 to t, which gives t = 57.\n\nThus, the final answer is t = \\boxed{57}.",
"index": 8848,
"question": "Consider a system of variables where each variable is defined as follows: x = v + 6; z = w + 6; j = a + 14; r = n + 5; a = k + 8; v = q + 2; o = c + 11; c = 1; w = o + 12; k = r + 1; t = j + 16; n = c + 12; q = z + 3. If c = 1, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 15", "a": "d + 1", "f": "a + 15", "n": "f + 18", "l": "n + 5", "i": "l + 12", "p": "r + 11", "g": "p + 19", "t": "g + 20", "y": "t + 11", "w": "y + 20", "j": "w + 16", "r": 11}, "premises": {"r": 11}, "target": "i"}, "answer": {"steps": [["l", "n + 5", "n + 17"], ["n", "f + 18", "f + 35"], ["f", "a + 15", "a + 50"], ["a", "d + 1", "d + 51"], ["d", "r + 15", "r + 66"], ["r", 11, "77"]], "target_var_name": "i", "target_value": 77, "value_dict": {"r": 11}, "is_reverse": true}} | 8,849 | 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 = l + 12; n = f + 18; a = d + 1; p = r + 11; t = g + 20; f = a + 15; d = r + 15; j = w + 16; y = t + 11; l = n + 5; r = 11; g = p + 19; w = y + 20. If r = 11, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 5 to i, which gives i = n + 17.\n2. Substitute n = f + 18 to i, which gives i = f + 35.\n3. Substitute f = a + 15 to i, which gives i = a + 50.\n4. Substitute a = d + 1 to i, which gives i = d + 51.\n5. Substitute d = r + 15 to i, which gives i = r + 66.\n6. Substitute r = 11 to i, which gives i = 77.\n\nThus, the final answer is i = \\boxed{77}.",
"index": 8849,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = l + 12; n = f + 18; a = d + 1; p = r + 11; t = g + 20; f = a + 15; d = r + 15; j = w + 16; y = t + 11; l = n + 5; r = 11; g = p + 19; w = y + 20. If r = 11, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 16", "v": "s + 2", "p": "v + 18", "c": "p + 10", "t": "c + 18", "w": "t + 10", "z": "x + 13", "j": "z + 10", "d": "j + 4", "a": "d + 4", "e": "a + 20", "u": "e + 16", "x": 13}, "premises": {"x": 13}, "target": "w"}, "answer": {"steps": [["t", "c + 18", "c + 28"], ["c", "p + 10", "p + 38"], ["p", "v + 18", "v + 56"], ["v", "s + 2", "s + 58"], ["s", "x + 16", "x + 74"], ["x", 13, "87"]], "target_var_name": "w", "target_value": 87, "value_dict": {"x": 13}, "is_reverse": true}} | 8,850 | 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 = j + 4; a = d + 4; u = e + 16; e = a + 20; j = z + 10; z = x + 13; x = 13; v = s + 2; c = p + 10; t = c + 18; p = v + 18; s = x + 16; w = t + 10. If x = 13, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 18 to w, which gives w = c + 28.\n2. Substitute c = p + 10 to w, which gives w = p + 38.\n3. Substitute p = v + 18 to w, which gives w = v + 56.\n4. Substitute v = s + 2 to w, which gives w = s + 58.\n5. Substitute s = x + 16 to w, which gives w = x + 74.\n6. Substitute x = 13 to w, which gives w = 87.\n\nThus, the final answer is w = \\boxed{87}.",
"index": 8850,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = j + 4; a = d + 4; u = e + 16; e = a + 20; j = z + 10; z = x + 13; x = 13; v = s + 2; c = p + 10; t = c + 18; p = v + 18; s = x + 16; w = t + 10. If x = 13, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 9", "e": "d + 13", "v": "e + 15", "q": "v + 6", "i": "q + 19", "k": "i + 18", "a": "n + 9", "x": "a + 16", "c": "x + 18", "m": "c + 20", "u": "m + 19", "z": "u + 8", "n": 20}, "premises": {"n": 20}, "target": "k"}, "answer": {"steps": [["i", "q + 19", "q + 37"], ["q", "v + 6", "v + 43"], ["v", "e + 15", "e + 58"], ["e", "d + 13", "d + 71"], ["d", "n + 9", "n + 80"], ["n", 20, "100"]], "target_var_name": "k", "target_value": 100, "value_dict": {"n": 20}, "is_reverse": true}} | 8,851 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = i + 18; i = q + 19; d = n + 9; a = n + 9; m = c + 20; u = m + 19; x = a + 16; n = 20; e = d + 13; q = v + 6; c = x + 18; v = e + 15; z = u + 8. Given that n = 20, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 19 to k, which gives k = q + 37.\n2. Substitute q = v + 6 to k, which gives k = v + 43.\n3. Substitute v = e + 15 to k, which gives k = e + 58.\n4. Substitute e = d + 13 to k, which gives k = d + 71.\n5. Substitute d = n + 9 to k, which gives k = n + 80.\n6. Substitute n = 20 to k, which gives k = 100.\n\nThus, the final answer is k = \\boxed{100}.",
"index": 8851,
"question": "Suppose a collection of variables is related by the following definitions: k = i + 18; i = q + 19; d = n + 9; a = n + 9; m = c + 20; u = m + 19; x = a + 16; n = 20; e = d + 13; q = v + 6; c = x + 18; v = e + 15; z = u + 8. Given that n = 20, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 14", "c": "q + 10", "p": "c + 13", "t": "p + 12", "r": "t + 14", "u": "r + 2", "w": "a + 14", "y": "w + 3", "b": "y + 18", "g": "b + 1", "l": "g + 14", "i": "l + 13", "a": 19}, "premises": {"a": 19}, "target": "u"}, "answer": {"steps": [["r", "t + 14", "t + 16"], ["t", "p + 12", "p + 28"], ["p", "c + 13", "c + 41"], ["c", "q + 10", "q + 51"], ["q", "a + 14", "a + 65"], ["a", 19, "84"]], "target_var_name": "u", "target_value": 84, "value_dict": {"a": 19}, "is_reverse": true}} | 8,852 | 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 + 18; l = g + 14; i = l + 13; g = b + 1; u = r + 2; q = a + 14; y = w + 3; w = a + 14; c = q + 10; p = c + 13; a = 19; r = t + 14; t = p + 12. If a = 19, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 14 to u, which gives u = t + 16.\n2. Substitute t = p + 12 to u, which gives u = p + 28.\n3. Substitute p = c + 13 to u, which gives u = c + 41.\n4. Substitute c = q + 10 to u, which gives u = q + 51.\n5. Substitute q = a + 14 to u, which gives u = a + 65.\n6. Substitute a = 19 to u, which gives u = 84.\n\nThus, the final answer is u = \\boxed{84}.",
"index": 8852,
"question": "Consider a system of variables where each variable is defined as follows: b = y + 18; l = g + 14; i = l + 13; g = b + 1; u = r + 2; q = a + 14; y = w + 3; w = a + 14; c = q + 10; p = c + 13; a = 19; r = t + 14; t = p + 12. If a = 19, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"l": "i + 1", "y": "l + 11", "r": "y + 18", "d": "r + 5", "x": "d + 7", "h": "x + 8", "n": "i + 16", "u": "n + 5", "v": "u + 20", "b": "v + 5", "f": "b + 8", "g": "f + 18", "i": 16}, "premises": {"i": 16}, "target": "h"}, "answer": {"steps": [["x", "d + 7", "d + 15"], ["d", "r + 5", "r + 20"], ["r", "y + 18", "y + 38"], ["y", "l + 11", "l + 49"], ["l", "i + 1", "i + 50"], ["i", 16, "66"]], "target_var_name": "h", "target_value": 66, "value_dict": {"i": 16}, "is_reverse": true}} | 8,853 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 1; d = r + 5; n = i + 16; b = v + 5; i = 16; f = b + 8; y = l + 11; g = f + 18; x = d + 7; v = u + 20; h = x + 8; r = y + 18; u = n + 5. If i = 16, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 7 to h, which gives h = d + 15.\n2. Substitute d = r + 5 to h, which gives h = r + 20.\n3. Substitute r = y + 18 to h, which gives h = y + 38.\n4. Substitute y = l + 11 to h, which gives h = l + 49.\n5. Substitute l = i + 1 to h, which gives h = i + 50.\n6. Substitute i = 16 to h, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 8853,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 1; d = r + 5; n = i + 16; b = v + 5; i = 16; f = b + 8; y = l + 11; g = f + 18; x = d + 7; v = u + 20; h = x + 8; r = y + 18; u = n + 5. If i = 16, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 17", "w": "y + 16", "r": "w + 11", "j": "r + 5", "n": "j + 8", "p": "n + 11", "u": "f + 20", "s": "u + 8", "a": "s + 17", "e": "a + 8", "h": "e + 15", "k": "h + 5", "f": 5}, "premises": {"f": 5}, "target": "p"}, "answer": {"steps": [["n", "j + 8", "j + 19"], ["j", "r + 5", "r + 24"], ["r", "w + 11", "w + 35"], ["w", "y + 16", "y + 51"], ["y", "f + 17", "f + 68"], ["f", 5, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"f": 5}, "is_reverse": true}} | 8,854 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = e + 15; k = h + 5; w = y + 16; n = j + 8; j = r + 5; s = u + 8; p = n + 11; r = w + 11; e = a + 8; a = s + 17; f = 5; y = f + 17; u = f + 20. Given that f = 5, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 8 to p, which gives p = j + 19.\n2. Substitute j = r + 5 to p, which gives p = r + 24.\n3. Substitute r = w + 11 to p, which gives p = w + 35.\n4. Substitute w = y + 16 to p, which gives p = y + 51.\n5. Substitute y = f + 17 to p, which gives p = f + 68.\n6. Substitute f = 5 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 8854,
"question": "Suppose a collection of variables is related by the following definitions: h = e + 15; k = h + 5; w = y + 16; n = j + 8; j = r + 5; s = u + 8; p = n + 11; r = w + 11; e = a + 8; a = s + 17; f = 5; y = f + 17; u = f + 20. Given that f = 5, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 7", "o": "n + 2", "h": "o + 10", "w": "h + 18", "c": "w + 20", "p": "c + 13", "y": "q + 5", "k": "y + 17", "l": "k + 13", "f": "l + 17", "v": "f + 13", "m": "v + 3", "q": 16}, "premises": {"q": 16}, "target": "p"}, "answer": {"steps": [["c", "w + 20", "w + 33"], ["w", "h + 18", "h + 51"], ["h", "o + 10", "o + 61"], ["o", "n + 2", "n + 63"], ["n", "q + 7", "q + 70"], ["q", 16, "86"]], "target_var_name": "p", "target_value": 86, "value_dict": {"q": 16}, "is_reverse": true}} | 8,855 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = y + 17; n = q + 7; o = n + 2; c = w + 20; p = c + 13; f = l + 17; m = v + 3; w = h + 18; y = q + 5; v = f + 13; q = 16; l = k + 13; h = o + 10. If q = 16, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 20 to p, which gives p = w + 33.\n2. Substitute w = h + 18 to p, which gives p = h + 51.\n3. Substitute h = o + 10 to p, which gives p = o + 61.\n4. Substitute o = n + 2 to p, which gives p = n + 63.\n5. Substitute n = q + 7 to p, which gives p = q + 70.\n6. Substitute q = 16 to p, which gives p = 86.\n\nThus, the final answer is p = \\boxed{86}.",
"index": 8855,
"question": "Consider a system of variables where each variable is defined as follows: k = y + 17; n = q + 7; o = n + 2; c = w + 20; p = c + 13; f = l + 17; m = v + 3; w = h + 18; y = q + 5; v = f + 13; q = 16; l = k + 13; h = o + 10. If q = 16, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 9", "g": "z + 1", "c": "g + 20", "n": "c + 20", "u": "n + 1", "m": "u + 15", "v": "q + 4", "y": "v + 1", "i": "y + 19", "j": "i + 9", "w": "j + 19", "l": "w + 6", "q": 9}, "premises": {"q": 9}, "target": "m"}, "answer": {"steps": [["u", "n + 1", "n + 16"], ["n", "c + 20", "c + 36"], ["c", "g + 20", "g + 56"], ["g", "z + 1", "z + 57"], ["z", "q + 9", "q + 66"], ["q", 9, "75"]], "target_var_name": "m", "target_value": 75, "value_dict": {"q": 9}, "is_reverse": true}} | 8,856 | 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 = z + 1; j = i + 9; v = q + 4; c = g + 20; l = w + 6; w = j + 19; m = u + 15; z = q + 9; y = v + 1; u = n + 1; q = 9; n = c + 20; i = y + 19. If q = 9, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 1 to m, which gives m = n + 16.\n2. Substitute n = c + 20 to m, which gives m = c + 36.\n3. Substitute c = g + 20 to m, which gives m = g + 56.\n4. Substitute g = z + 1 to m, which gives m = z + 57.\n5. Substitute z = q + 9 to m, which gives m = q + 66.\n6. Substitute q = 9 to m, which gives m = 75.\n\nThus, the final answer is m = \\boxed{75}.",
"index": 8856,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = z + 1; j = i + 9; v = q + 4; c = g + 20; l = w + 6; w = j + 19; m = u + 15; z = q + 9; y = v + 1; u = n + 1; q = 9; n = c + 20; i = y + 19. If q = 9, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 16", "e": "y + 16", "m": "e + 1", "g": "m + 6", "t": "g + 20", "f": "t + 14", "v": "l + 19", "a": "v + 16", "u": "a + 19", "s": "u + 19", "i": "s + 13", "p": "i + 6", "l": 9}, "premises": {"l": 9}, "target": "f"}, "answer": {"steps": [["t", "g + 20", "g + 34"], ["g", "m + 6", "m + 40"], ["m", "e + 1", "e + 41"], ["e", "y + 16", "y + 57"], ["y", "l + 16", "l + 73"], ["l", 9, "82"]], "target_var_name": "f", "target_value": 82, "value_dict": {"l": 9}, "is_reverse": true}} | 8,857 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 6; e = y + 16; m = e + 1; l = 9; s = u + 19; v = l + 19; i = s + 13; u = a + 19; a = v + 16; t = g + 20; f = t + 14; g = m + 6; y = l + 16. If l = 9, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 20 to f, which gives f = g + 34.\n2. Substitute g = m + 6 to f, which gives f = m + 40.\n3. Substitute m = e + 1 to f, which gives f = e + 41.\n4. Substitute e = y + 16 to f, which gives f = y + 57.\n5. Substitute y = l + 16 to f, which gives f = l + 73.\n6. Substitute l = 9 to f, which gives f = 82.\n\nThus, the final answer is f = \\boxed{82}.",
"index": 8857,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 6; e = y + 16; m = e + 1; l = 9; s = u + 19; v = l + 19; i = s + 13; u = a + 19; a = v + 16; t = g + 20; f = t + 14; g = m + 6; y = l + 16. If l = 9, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 10", "e": "k + 3", "l": "e + 6", "o": "l + 11", "v": "o + 20", "w": "v + 17", "r": "p + 7", "i": "r + 15", "m": "i + 9", "z": "m + 17", "s": "z + 12", "b": "s + 3", "p": 7}, "premises": {"p": 7}, "target": "w"}, "answer": {"steps": [["v", "o + 20", "o + 37"], ["o", "l + 11", "l + 48"], ["l", "e + 6", "e + 54"], ["e", "k + 3", "k + 57"], ["k", "p + 10", "p + 67"], ["p", 7, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"p": 7}, "is_reverse": true}} | 8,858 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = s + 3; w = v + 17; v = o + 20; l = e + 6; o = l + 11; e = k + 3; m = i + 9; p = 7; r = p + 7; i = r + 15; k = p + 10; z = m + 17; s = z + 12. If p = 7, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 20 to w, which gives w = o + 37.\n2. Substitute o = l + 11 to w, which gives w = l + 48.\n3. Substitute l = e + 6 to w, which gives w = e + 54.\n4. Substitute e = k + 3 to w, which gives w = k + 57.\n5. Substitute k = p + 10 to w, which gives w = p + 67.\n6. Substitute p = 7 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 8858,
"question": "Consider a system of variables where each variable is defined as follows: b = s + 3; w = v + 17; v = o + 20; l = e + 6; o = l + 11; e = k + 3; m = i + 9; p = 7; r = p + 7; i = r + 15; k = p + 10; z = m + 17; s = z + 12. If p = 7, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 15", "q": "h + 18", "c": "q + 1", "x": "c + 20", "s": "x + 15", "g": "s + 7", "d": "j + 13", "v": "d + 13", "p": "v + 5", "f": "p + 12", "k": "f + 16", "u": "k + 13", "j": 18}, "premises": {"j": 18}, "target": "g"}, "answer": {"steps": [["s", "x + 15", "x + 22"], ["x", "c + 20", "c + 42"], ["c", "q + 1", "q + 43"], ["q", "h + 18", "h + 61"], ["h", "j + 15", "j + 76"], ["j", 18, "94"]], "target_var_name": "g", "target_value": 94, "value_dict": {"j": 18}, "is_reverse": true}} | 8,859 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = f + 16; h = j + 15; q = h + 18; j = 18; s = x + 15; v = d + 13; d = j + 13; u = k + 13; c = q + 1; f = p + 12; p = v + 5; g = s + 7; x = c + 20. If j = 18, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 15 to g, which gives g = x + 22.\n2. Substitute x = c + 20 to g, which gives g = c + 42.\n3. Substitute c = q + 1 to g, which gives g = q + 43.\n4. Substitute q = h + 18 to g, which gives g = h + 61.\n5. Substitute h = j + 15 to g, which gives g = j + 76.\n6. Substitute j = 18 to g, which gives g = 94.\n\nThus, the final answer is g = \\boxed{94}.",
"index": 8859,
"question": "Consider a system of variables where each variable is defined as follows: k = f + 16; h = j + 15; q = h + 18; j = 18; s = x + 15; v = d + 13; d = j + 13; u = k + 13; c = q + 1; f = p + 12; p = v + 5; g = s + 7; x = c + 20. If j = 18, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 15", "w": "a + 18", "h": "w + 1", "g": "h + 20", "e": "g + 11", "z": "e + 14", "u": "i + 7", "o": "u + 4", "q": "o + 17", "p": "q + 2", "r": "p + 13", "n": "r + 6", "i": 17}, "premises": {"i": 17}, "target": "z"}, "answer": {"steps": [["e", "g + 11", "g + 25"], ["g", "h + 20", "h + 45"], ["h", "w + 1", "w + 46"], ["w", "a + 18", "a + 64"], ["a", "i + 15", "i + 79"], ["i", 17, "96"]], "target_var_name": "z", "target_value": 96, "value_dict": {"i": 17}, "is_reverse": true}} | 8,860 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = h + 20; p = q + 2; i = 17; u = i + 7; n = r + 6; e = g + 11; z = e + 14; h = w + 1; q = o + 17; a = i + 15; o = u + 4; w = a + 18; r = p + 13. If i = 17, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 11 to z, which gives z = g + 25.\n2. Substitute g = h + 20 to z, which gives z = h + 45.\n3. Substitute h = w + 1 to z, which gives z = w + 46.\n4. Substitute w = a + 18 to z, which gives z = a + 64.\n5. Substitute a = i + 15 to z, which gives z = i + 79.\n6. Substitute i = 17 to z, which gives z = 96.\n\nThus, the final answer is z = \\boxed{96}.",
"index": 8860,
"question": "Consider a system of variables where each variable is defined as follows: g = h + 20; p = q + 2; i = 17; u = i + 7; n = r + 6; e = g + 11; z = e + 14; h = w + 1; q = o + 17; a = i + 15; o = u + 4; w = a + 18; r = p + 13. If i = 17, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 14", "e": "v + 9", "j": "e + 8", "d": "j + 15", "k": "d + 7", "m": "k + 16", "q": "l + 19", "z": "q + 6", "n": "z + 15", "u": "n + 3", "p": "u + 10", "a": "p + 11", "l": 2}, "premises": {"l": 2}, "target": "m"}, "answer": {"steps": [["k", "d + 7", "d + 23"], ["d", "j + 15", "j + 38"], ["j", "e + 8", "e + 46"], ["e", "v + 9", "v + 55"], ["v", "l + 14", "l + 69"], ["l", 2, "71"]], "target_var_name": "m", "target_value": 71, "value_dict": {"l": 2}, "is_reverse": true}} | 8,861 | 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 = n + 3; z = q + 6; p = u + 10; q = l + 19; j = e + 8; e = v + 9; k = d + 7; l = 2; v = l + 14; a = p + 11; d = j + 15; n = z + 15; m = k + 16. If l = 2, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 7 to m, which gives m = d + 23.\n2. Substitute d = j + 15 to m, which gives m = j + 38.\n3. Substitute j = e + 8 to m, which gives m = e + 46.\n4. Substitute e = v + 9 to m, which gives m = v + 55.\n5. Substitute v = l + 14 to m, which gives m = l + 69.\n6. Substitute l = 2 to m, which gives m = 71.\n\nThus, the final answer is m = \\boxed{71}.",
"index": 8861,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = n + 3; z = q + 6; p = u + 10; q = l + 19; j = e + 8; e = v + 9; k = d + 7; l = 2; v = l + 14; a = p + 11; d = j + 15; n = z + 15; m = k + 16. If l = 2, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 10", "q": "x + 17", "s": "q + 13", "b": "s + 2", "e": "b + 1", "f": "e + 8", "o": "m + 3", "u": "o + 10", "p": "u + 12", "a": "p + 5", "h": "a + 16", "w": "h + 13", "m": 15}, "premises": {"m": 15}, "target": "f"}, "answer": {"steps": [["e", "b + 1", "b + 9"], ["b", "s + 2", "s + 11"], ["s", "q + 13", "q + 24"], ["q", "x + 17", "x + 41"], ["x", "m + 10", "m + 51"], ["m", 15, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"m": 15}, "is_reverse": true}} | 8,862 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = s + 2; w = h + 13; u = o + 10; x = m + 10; o = m + 3; m = 15; f = e + 8; h = a + 16; p = u + 12; e = b + 1; s = q + 13; a = p + 5; q = x + 17. If m = 15, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 1 to f, which gives f = b + 9.\n2. Substitute b = s + 2 to f, which gives f = s + 11.\n3. Substitute s = q + 13 to f, which gives f = q + 24.\n4. Substitute q = x + 17 to f, which gives f = x + 41.\n5. Substitute x = m + 10 to f, which gives f = m + 51.\n6. Substitute m = 15 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 8862,
"question": "Consider a system of variables where each variable is defined as follows: b = s + 2; w = h + 13; u = o + 10; x = m + 10; o = m + 3; m = 15; f = e + 8; h = a + 16; p = u + 12; e = b + 1; s = q + 13; a = p + 5; q = x + 17. If m = 15, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 10", "k": "o + 14", "b": "k + 16", "r": "b + 9", "j": "r + 17", "p": "j + 8", "e": "t + 18", "l": "e + 19", "m": "l + 12", "x": "m + 8", "z": "x + 3", "h": "z + 2", "t": 20}, "premises": {"t": 20}, "target": "p"}, "answer": {"steps": [["j", "r + 17", "r + 25"], ["r", "b + 9", "b + 34"], ["b", "k + 16", "k + 50"], ["k", "o + 14", "o + 64"], ["o", "t + 10", "t + 74"], ["t", 20, "94"]], "target_var_name": "p", "target_value": 94, "value_dict": {"t": 20}, "is_reverse": true}} | 8,863 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = l + 12; b = k + 16; j = r + 17; r = b + 9; o = t + 10; e = t + 18; t = 20; k = o + 14; h = z + 2; z = x + 3; l = e + 19; p = j + 8; x = m + 8. Given that t = 20, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 17 to p, which gives p = r + 25.\n2. Substitute r = b + 9 to p, which gives p = b + 34.\n3. Substitute b = k + 16 to p, which gives p = k + 50.\n4. Substitute k = o + 14 to p, which gives p = o + 64.\n5. Substitute o = t + 10 to p, which gives p = t + 74.\n6. Substitute t = 20 to p, which gives p = 94.\n\nThus, the final answer is p = \\boxed{94}.",
"index": 8863,
"question": "Suppose a collection of variables is related by the following definitions: m = l + 12; b = k + 16; j = r + 17; r = b + 9; o = t + 10; e = t + 18; t = 20; k = o + 14; h = z + 2; z = x + 3; l = e + 19; p = j + 8; x = m + 8. Given that t = 20, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 13", "u": "f + 17", "j": "u + 10", "g": "j + 1", "v": "g + 19", "w": "v + 18", "c": "a + 7", "i": "c + 10", "b": "i + 6", "r": "b + 11", "p": "r + 8", "q": "p + 7", "a": 11}, "premises": {"a": 11}, "target": "w"}, "answer": {"steps": [["v", "g + 19", "g + 37"], ["g", "j + 1", "j + 38"], ["j", "u + 10", "u + 48"], ["u", "f + 17", "f + 65"], ["f", "a + 13", "a + 78"], ["a", 11, "89"]], "target_var_name": "w", "target_value": 89, "value_dict": {"a": 11}, "is_reverse": true}} | 8,864 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = u + 10; v = g + 19; c = a + 7; w = v + 18; u = f + 17; q = p + 7; g = j + 1; r = b + 11; a = 11; f = a + 13; b = i + 6; i = c + 10; p = r + 8. Given that a = 11, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 19 to w, which gives w = g + 37.\n2. Substitute g = j + 1 to w, which gives w = j + 38.\n3. Substitute j = u + 10 to w, which gives w = u + 48.\n4. Substitute u = f + 17 to w, which gives w = f + 65.\n5. Substitute f = a + 13 to w, which gives w = a + 78.\n6. Substitute a = 11 to w, which gives w = 89.\n\nThus, the final answer is w = \\boxed{89}.",
"index": 8864,
"question": "Suppose a collection of variables is related by the following definitions: j = u + 10; v = g + 19; c = a + 7; w = v + 18; u = f + 17; q = p + 7; g = j + 1; r = b + 11; a = 11; f = a + 13; b = i + 6; i = c + 10; p = r + 8. Given that a = 11, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 3", "y": "o + 17", "r": "y + 9", "f": "r + 3", "j": "f + 6", "v": "j + 7", "s": "d + 5", "m": "s + 7", "b": "m + 1", "k": "b + 18", "u": "k + 17", "n": "u + 2", "d": 11}, "premises": {"d": 11}, "target": "v"}, "answer": {"steps": [["j", "f + 6", "f + 13"], ["f", "r + 3", "r + 16"], ["r", "y + 9", "y + 25"], ["y", "o + 17", "o + 42"], ["o", "d + 3", "d + 45"], ["d", 11, "56"]], "target_var_name": "v", "target_value": 56, "value_dict": {"d": 11}, "is_reverse": true}} | 8,865 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = b + 18; m = s + 7; d = 11; j = f + 6; b = m + 1; v = j + 7; f = r + 3; r = y + 9; n = u + 2; s = d + 5; y = o + 17; o = d + 3; u = k + 17. Given that d = 11, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 6 to v, which gives v = f + 13.\n2. Substitute f = r + 3 to v, which gives v = r + 16.\n3. Substitute r = y + 9 to v, which gives v = y + 25.\n4. Substitute y = o + 17 to v, which gives v = o + 42.\n5. Substitute o = d + 3 to v, which gives v = d + 45.\n6. Substitute d = 11 to v, which gives v = 56.\n\nThus, the final answer is v = \\boxed{56}.",
"index": 8865,
"question": "Suppose a collection of variables is related by the following definitions: k = b + 18; m = s + 7; d = 11; j = f + 6; b = m + 1; v = j + 7; f = r + 3; r = y + 9; n = u + 2; s = d + 5; y = o + 17; o = d + 3; u = k + 17. Given that d = 11, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 13", "y": "w + 10", "z": "y + 3", "r": "z + 1", "h": "r + 15", "d": "h + 3", "v": "n + 17", "p": "v + 19", "o": "p + 1", "q": "o + 20", "g": "q + 3", "a": "g + 4", "n": 17}, "premises": {"n": 17}, "target": "d"}, "answer": {"steps": [["h", "r + 15", "r + 18"], ["r", "z + 1", "z + 19"], ["z", "y + 3", "y + 22"], ["y", "w + 10", "w + 32"], ["w", "n + 13", "n + 45"], ["n", 17, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"n": 17}, "is_reverse": true}} | 8,866 | 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 = n + 13; v = n + 17; g = q + 3; o = p + 1; a = g + 4; p = v + 19; q = o + 20; h = r + 15; n = 17; r = z + 1; z = y + 3; d = h + 3; y = w + 10. If n = 17, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 15 to d, which gives d = r + 18.\n2. Substitute r = z + 1 to d, which gives d = z + 19.\n3. Substitute z = y + 3 to d, which gives d = y + 22.\n4. Substitute y = w + 10 to d, which gives d = w + 32.\n5. Substitute w = n + 13 to d, which gives d = n + 45.\n6. Substitute n = 17 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 8866,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = n + 13; v = n + 17; g = q + 3; o = p + 1; a = g + 4; p = v + 19; q = o + 20; h = r + 15; n = 17; r = z + 1; z = y + 3; d = h + 3; y = w + 10. If n = 17, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 19", "t": "s + 11", "u": "t + 14", "n": "u + 14", "v": "n + 13", "a": "v + 10", "l": "f + 5", "k": "l + 1", "m": "k + 10", "i": "m + 13", "x": "i + 1", "q": "x + 4", "f": 14}, "premises": {"f": 14}, "target": "a"}, "answer": {"steps": [["v", "n + 13", "n + 23"], ["n", "u + 14", "u + 37"], ["u", "t + 14", "t + 51"], ["t", "s + 11", "s + 62"], ["s", "f + 19", "f + 81"], ["f", 14, "95"]], "target_var_name": "a", "target_value": 95, "value_dict": {"f": 14}, "is_reverse": true}} | 8,867 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = u + 14; t = s + 11; q = x + 4; l = f + 5; i = m + 13; k = l + 1; a = v + 10; x = i + 1; u = t + 14; s = f + 19; m = k + 10; v = n + 13; f = 14. If f = 14, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 13 to a, which gives a = n + 23.\n2. Substitute n = u + 14 to a, which gives a = u + 37.\n3. Substitute u = t + 14 to a, which gives a = t + 51.\n4. Substitute t = s + 11 to a, which gives a = s + 62.\n5. Substitute s = f + 19 to a, which gives a = f + 81.\n6. Substitute f = 14 to a, which gives a = 95.\n\nThus, the final answer is a = \\boxed{95}.",
"index": 8867,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = u + 14; t = s + 11; q = x + 4; l = f + 5; i = m + 13; k = l + 1; a = v + 10; x = i + 1; u = t + 14; s = f + 19; m = k + 10; v = n + 13; f = 14. If f = 14, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 12", "w": "o + 16", "i": "w + 14", "d": "i + 16", "m": "d + 20", "l": "m + 16", "v": "f + 15", "t": "v + 2", "n": "t + 12", "j": "n + 4", "u": "j + 16", "s": "u + 16", "f": 8}, "premises": {"f": 8}, "target": "l"}, "answer": {"steps": [["m", "d + 20", "d + 36"], ["d", "i + 16", "i + 52"], ["i", "w + 14", "w + 66"], ["w", "o + 16", "o + 82"], ["o", "f + 12", "f + 94"], ["f", 8, "102"]], "target_var_name": "l", "target_value": 102, "value_dict": {"f": 8}, "is_reverse": true}} | 8,868 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = i + 16; w = o + 16; s = u + 16; t = v + 2; m = d + 20; v = f + 15; l = m + 16; n = t + 12; f = 8; i = w + 14; j = n + 4; u = j + 16; o = f + 12. If f = 8, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 20 to l, which gives l = d + 36.\n2. Substitute d = i + 16 to l, which gives l = i + 52.\n3. Substitute i = w + 14 to l, which gives l = w + 66.\n4. Substitute w = o + 16 to l, which gives l = o + 82.\n5. Substitute o = f + 12 to l, which gives l = f + 94.\n6. Substitute f = 8 to l, which gives l = 102.\n\nThus, the final answer is l = \\boxed{102}.",
"index": 8868,
"question": "Consider a system of variables where each variable is defined as follows: d = i + 16; w = o + 16; s = u + 16; t = v + 2; m = d + 20; v = f + 15; l = m + 16; n = t + 12; f = 8; i = w + 14; j = n + 4; u = j + 16; o = f + 12. If f = 8, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 8", "h": "r + 13", "f": "h + 2", "e": "f + 18", "g": "e + 1", "l": "g + 6", "s": "y + 14", "z": "s + 10", "o": "z + 1", "w": "o + 6", "i": "w + 15", "m": "i + 18", "y": 19}, "premises": {"y": 19}, "target": "l"}, "answer": {"steps": [["g", "e + 1", "e + 7"], ["e", "f + 18", "f + 25"], ["f", "h + 2", "h + 27"], ["h", "r + 13", "r + 40"], ["r", "y + 8", "y + 48"], ["y", 19, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"y": 19}, "is_reverse": true}} | 8,869 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = f + 18; w = o + 6; h = r + 13; z = s + 10; i = w + 15; y = 19; r = y + 8; s = y + 14; f = h + 2; g = e + 1; l = g + 6; o = z + 1; m = i + 18. Given that y = 19, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 1 to l, which gives l = e + 7.\n2. Substitute e = f + 18 to l, which gives l = f + 25.\n3. Substitute f = h + 2 to l, which gives l = h + 27.\n4. Substitute h = r + 13 to l, which gives l = r + 40.\n5. Substitute r = y + 8 to l, which gives l = y + 48.\n6. Substitute y = 19 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 8869,
"question": "Suppose a collection of variables is related by the following definitions: e = f + 18; w = o + 6; h = r + 13; z = s + 10; i = w + 15; y = 19; r = y + 8; s = y + 14; f = h + 2; g = e + 1; l = g + 6; o = z + 1; m = i + 18. Given that y = 19, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 4", "y": "t + 9", "e": "y + 6", "i": "e + 13", "x": "i + 13", "m": "x + 6", "q": "o + 8", "l": "q + 5", "g": "l + 9", "w": "g + 20", "b": "w + 18", "n": "b + 12", "o": 14}, "premises": {"o": 14}, "target": "m"}, "answer": {"steps": [["x", "i + 13", "i + 19"], ["i", "e + 13", "e + 32"], ["e", "y + 6", "y + 38"], ["y", "t + 9", "t + 47"], ["t", "o + 4", "o + 51"], ["o", 14, "65"]], "target_var_name": "m", "target_value": 65, "value_dict": {"o": 14}, "is_reverse": true}} | 8,870 | 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 = l + 9; l = q + 5; n = b + 12; e = y + 6; i = e + 13; o = 14; b = w + 18; w = g + 20; y = t + 9; x = i + 13; m = x + 6; q = o + 8; t = o + 4. If o = 14, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 13 to m, which gives m = i + 19.\n2. Substitute i = e + 13 to m, which gives m = e + 32.\n3. Substitute e = y + 6 to m, which gives m = y + 38.\n4. Substitute y = t + 9 to m, which gives m = t + 47.\n5. Substitute t = o + 4 to m, which gives m = o + 51.\n6. Substitute o = 14 to m, which gives m = 65.\n\nThus, the final answer is m = \\boxed{65}.",
"index": 8870,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = l + 9; l = q + 5; n = b + 12; e = y + 6; i = e + 13; o = 14; b = w + 18; w = g + 20; y = t + 9; x = i + 13; m = x + 6; q = o + 8; t = o + 4. If o = 14, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 10", "b": "f + 15", "a": "b + 18", "e": "a + 16", "h": "e + 13", "r": "h + 12", "d": "o + 7", "j": "d + 13", "p": "j + 13", "x": "p + 14", "t": "x + 16", "z": "t + 16", "o": 14}, "premises": {"o": 14}, "target": "r"}, "answer": {"steps": [["h", "e + 13", "e + 25"], ["e", "a + 16", "a + 41"], ["a", "b + 18", "b + 59"], ["b", "f + 15", "f + 74"], ["f", "o + 10", "o + 84"], ["o", 14, "98"]], "target_var_name": "r", "target_value": 98, "value_dict": {"o": 14}, "is_reverse": true}} | 8,871 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = h + 12; j = d + 13; o = 14; h = e + 13; d = o + 7; a = b + 18; t = x + 16; z = t + 16; f = o + 10; b = f + 15; e = a + 16; x = p + 14; p = j + 13. Given that o = 14, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 13 to r, which gives r = e + 25.\n2. Substitute e = a + 16 to r, which gives r = a + 41.\n3. Substitute a = b + 18 to r, which gives r = b + 59.\n4. Substitute b = f + 15 to r, which gives r = f + 74.\n5. Substitute f = o + 10 to r, which gives r = o + 84.\n6. Substitute o = 14 to r, which gives r = 98.\n\nThus, the final answer is r = \\boxed{98}.",
"index": 8871,
"question": "Suppose a collection of variables is related by the following definitions: r = h + 12; j = d + 13; o = 14; h = e + 13; d = o + 7; a = b + 18; t = x + 16; z = t + 16; f = o + 10; b = f + 15; e = a + 16; x = p + 14; p = j + 13. Given that o = 14, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"f": "v + 13", "c": "f + 7", "u": "c + 17", "h": "u + 5", "g": "h + 13", "y": "g + 6", "j": "v + 19", "i": "j + 14", "m": "i + 3", "n": "m + 9", "b": "n + 9", "z": "b + 8", "v": 3}, "premises": {"v": 3}, "target": "y"}, "answer": {"steps": [["g", "h + 13", "h + 19"], ["h", "u + 5", "u + 24"], ["u", "c + 17", "c + 41"], ["c", "f + 7", "f + 48"], ["f", "v + 13", "v + 61"], ["v", 3, "64"]], "target_var_name": "y", "target_value": 64, "value_dict": {"v": 3}, "is_reverse": true}} | 8,872 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = v + 13; n = m + 9; z = b + 8; c = f + 7; b = n + 9; j = v + 19; u = c + 17; m = i + 3; g = h + 13; i = j + 14; v = 3; h = u + 5; y = g + 6. Given that v = 3, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 13 to y, which gives y = h + 19.\n2. Substitute h = u + 5 to y, which gives y = u + 24.\n3. Substitute u = c + 17 to y, which gives y = c + 41.\n4. Substitute c = f + 7 to y, which gives y = f + 48.\n5. Substitute f = v + 13 to y, which gives y = v + 61.\n6. Substitute v = 3 to y, which gives y = 64.\n\nThus, the final answer is y = \\boxed{64}.",
"index": 8872,
"question": "Suppose a collection of variables is related by the following definitions: f = v + 13; n = m + 9; z = b + 8; c = f + 7; b = n + 9; j = v + 19; u = c + 17; m = i + 3; g = h + 13; i = j + 14; v = 3; h = u + 5; y = g + 6. Given that v = 3, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 20", "w": "o + 10", "e": "w + 4", "g": "e + 13", "s": "g + 15", "x": "s + 6", "z": "l + 14", "m": "z + 12", "n": "m + 2", "d": "n + 2", "j": "d + 11", "h": "j + 18", "l": 13}, "premises": {"l": 13}, "target": "x"}, "answer": {"steps": [["s", "g + 15", "g + 21"], ["g", "e + 13", "e + 34"], ["e", "w + 4", "w + 38"], ["w", "o + 10", "o + 48"], ["o", "l + 20", "l + 68"], ["l", 13, "81"]], "target_var_name": "x", "target_value": 81, "value_dict": {"l": 13}, "is_reverse": true}} | 8,873 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = n + 2; s = g + 15; m = z + 12; z = l + 14; h = j + 18; j = d + 11; w = o + 10; l = 13; e = w + 4; g = e + 13; o = l + 20; n = m + 2; x = s + 6. If l = 13, what is the resulting 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 s = g + 15 to x, which gives x = g + 21.\n2. Substitute g = e + 13 to x, which gives x = e + 34.\n3. Substitute e = w + 4 to x, which gives x = w + 38.\n4. Substitute w = o + 10 to x, which gives x = o + 48.\n5. Substitute o = l + 20 to x, which gives x = l + 68.\n6. Substitute l = 13 to x, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 8873,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = n + 2; s = g + 15; m = z + 12; z = l + 14; h = j + 18; j = d + 11; w = o + 10; l = 13; e = w + 4; g = e + 13; o = l + 20; n = m + 2; x = s + 6. If l = 13, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 7", "s": "e + 20", "f": "s + 17", "q": "f + 14", "n": "q + 11", "w": "n + 9", "d": "r + 20", "v": "d + 9", "y": "v + 19", "u": "y + 19", "l": "u + 13", "k": "l + 1", "r": 13}, "premises": {"r": 13}, "target": "w"}, "answer": {"steps": [["n", "q + 11", "q + 20"], ["q", "f + 14", "f + 34"], ["f", "s + 17", "s + 51"], ["s", "e + 20", "e + 71"], ["e", "r + 7", "r + 78"], ["r", 13, "91"]], "target_var_name": "w", "target_value": 91, "value_dict": {"r": 13}, "is_reverse": true}} | 8,874 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = d + 9; u = y + 19; f = s + 17; e = r + 7; q = f + 14; r = 13; y = v + 19; d = r + 20; n = q + 11; k = l + 1; w = n + 9; l = u + 13; s = e + 20. Given that r = 13, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 11 to w, which gives w = q + 20.\n2. Substitute q = f + 14 to w, which gives w = f + 34.\n3. Substitute f = s + 17 to w, which gives w = s + 51.\n4. Substitute s = e + 20 to w, which gives w = e + 71.\n5. Substitute e = r + 7 to w, which gives w = r + 78.\n6. Substitute r = 13 to w, which gives w = 91.\n\nThus, the final answer is w = \\boxed{91}.",
"index": 8874,
"question": "Suppose a collection of variables is related by the following definitions: v = d + 9; u = y + 19; f = s + 17; e = r + 7; q = f + 14; r = 13; y = v + 19; d = r + 20; n = q + 11; k = l + 1; w = n + 9; l = u + 13; s = e + 20. Given that r = 13, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 1", "j": "s + 13", "m": "j + 11", "d": "m + 16", "l": "d + 6", "f": "l + 20", "e": "g + 11", "o": "e + 13", "y": "o + 5", "b": "y + 3", "u": "b + 1", "h": "u + 14", "g": 1}, "premises": {"g": 1}, "target": "f"}, "answer": {"steps": [["l", "d + 6", "d + 26"], ["d", "m + 16", "m + 42"], ["m", "j + 11", "j + 53"], ["j", "s + 13", "s + 66"], ["s", "g + 1", "g + 67"], ["g", 1, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"g": 1}, "is_reverse": true}} | 8,875 | 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 + 5; e = g + 11; h = u + 14; d = m + 16; f = l + 20; u = b + 1; j = s + 13; m = j + 11; l = d + 6; g = 1; b = y + 3; s = g + 1; o = e + 13. If g = 1, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 6 to f, which gives f = d + 26.\n2. Substitute d = m + 16 to f, which gives f = m + 42.\n3. Substitute m = j + 11 to f, which gives f = j + 53.\n4. Substitute j = s + 13 to f, which gives f = s + 66.\n5. Substitute s = g + 1 to f, which gives f = g + 67.\n6. Substitute g = 1 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 8875,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 5; e = g + 11; h = u + 14; d = m + 16; f = l + 20; u = b + 1; j = s + 13; m = j + 11; l = d + 6; g = 1; b = y + 3; s = g + 1; o = e + 13. If g = 1, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 15", "y": "a + 13", "l": "y + 4", "k": "l + 9", "x": "k + 7", "o": "x + 9", "v": "h + 7", "b": "v + 9", "i": "b + 3", "m": "i + 18", "e": "m + 18", "s": "e + 19", "h": 10}, "premises": {"h": 10}, "target": "o"}, "answer": {"steps": [["x", "k + 7", "k + 16"], ["k", "l + 9", "l + 25"], ["l", "y + 4", "y + 29"], ["y", "a + 13", "a + 42"], ["a", "h + 15", "h + 57"], ["h", 10, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"h": 10}, "is_reverse": true}} | 8,876 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = h + 7; x = k + 7; k = l + 9; i = b + 3; s = e + 19; a = h + 15; o = x + 9; y = a + 13; l = y + 4; m = i + 18; h = 10; b = v + 9; e = m + 18. If h = 10, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 7 to o, which gives o = k + 16.\n2. Substitute k = l + 9 to o, which gives o = l + 25.\n3. Substitute l = y + 4 to o, which gives o = y + 29.\n4. Substitute y = a + 13 to o, which gives o = a + 42.\n5. Substitute a = h + 15 to o, which gives o = h + 57.\n6. Substitute h = 10 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 8876,
"question": "Consider a system of variables where each variable is defined as follows: v = h + 7; x = k + 7; k = l + 9; i = b + 3; s = e + 19; a = h + 15; o = x + 9; y = a + 13; l = y + 4; m = i + 18; h = 10; b = v + 9; e = m + 18. If h = 10, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 4", "o": "a + 20", "b": "o + 20", "f": "b + 5", "z": "f + 6", "s": "z + 4", "w": "t + 2", "r": "w + 6", "i": "r + 2", "y": "i + 10", "k": "y + 20", "e": "k + 14", "t": 18}, "premises": {"t": 18}, "target": "s"}, "answer": {"steps": [["z", "f + 6", "f + 10"], ["f", "b + 5", "b + 15"], ["b", "o + 20", "o + 35"], ["o", "a + 20", "a + 55"], ["a", "t + 4", "t + 59"], ["t", 18, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"t": 18}, "is_reverse": true}} | 8,877 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = y + 20; f = b + 5; t = 18; r = w + 6; b = o + 20; e = k + 14; z = f + 6; a = t + 4; w = t + 2; i = r + 2; o = a + 20; y = i + 10; s = z + 4. Given that t = 18, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 6 to s, which gives s = f + 10.\n2. Substitute f = b + 5 to s, which gives s = b + 15.\n3. Substitute b = o + 20 to s, which gives s = o + 35.\n4. Substitute o = a + 20 to s, which gives s = a + 55.\n5. Substitute a = t + 4 to s, which gives s = t + 59.\n6. Substitute t = 18 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 8877,
"question": "Suppose a collection of variables is related by the following definitions: k = y + 20; f = b + 5; t = 18; r = w + 6; b = o + 20; e = k + 14; z = f + 6; a = t + 4; w = t + 2; i = r + 2; o = a + 20; y = i + 10; s = z + 4. Given that t = 18, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 6", "d": "e + 9", "l": "d + 14", "a": "l + 1", "t": "a + 19", "y": "t + 19", "q": "n + 18", "w": "q + 11", "p": "w + 16", "u": "p + 11", "v": "u + 1", "x": "v + 17", "n": 19}, "premises": {"n": 19}, "target": "y"}, "answer": {"steps": [["t", "a + 19", "a + 38"], ["a", "l + 1", "l + 39"], ["l", "d + 14", "d + 53"], ["d", "e + 9", "e + 62"], ["e", "n + 6", "n + 68"], ["n", 19, "87"]], "target_var_name": "y", "target_value": 87, "value_dict": {"n": 19}, "is_reverse": true}} | 8,878 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = n + 6; t = a + 19; d = e + 9; p = w + 16; l = d + 14; a = l + 1; x = v + 17; u = p + 11; w = q + 11; v = u + 1; y = t + 19; n = 19; q = n + 18. Given that n = 19, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 19 to y, which gives y = a + 38.\n2. Substitute a = l + 1 to y, which gives y = l + 39.\n3. Substitute l = d + 14 to y, which gives y = d + 53.\n4. Substitute d = e + 9 to y, which gives y = e + 62.\n5. Substitute e = n + 6 to y, which gives y = n + 68.\n6. Substitute n = 19 to y, which gives y = 87.\n\nThus, the final answer is y = \\boxed{87}.",
"index": 8878,
"question": "Suppose a collection of variables is related by the following definitions: e = n + 6; t = a + 19; d = e + 9; p = w + 16; l = d + 14; a = l + 1; x = v + 17; u = p + 11; w = q + 11; v = u + 1; y = t + 19; n = 19; q = n + 18. Given that n = 19, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "h + 13", "n": "z + 6", "v": "n + 19", "p": "v + 3", "k": "p + 12", "o": "k + 1", "c": "h + 11", "x": "c + 17", "y": "x + 17", "q": "y + 10", "e": "q + 18", "r": "e + 1", "h": 16}, "premises": {"h": 16}, "target": "o"}, "answer": {"steps": [["k", "p + 12", "p + 13"], ["p", "v + 3", "v + 16"], ["v", "n + 19", "n + 35"], ["n", "z + 6", "z + 41"], ["z", "h + 13", "h + 54"], ["h", 16, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"h": 16}, "is_reverse": true}} | 8,879 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = v + 3; y = x + 17; h = 16; k = p + 12; q = y + 10; x = c + 17; n = z + 6; z = h + 13; e = q + 18; c = h + 11; r = e + 1; v = n + 19; o = k + 1. Given that h = 16, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 12 to o, which gives o = p + 13.\n2. Substitute p = v + 3 to o, which gives o = v + 16.\n3. Substitute v = n + 19 to o, which gives o = n + 35.\n4. Substitute n = z + 6 to o, which gives o = z + 41.\n5. Substitute z = h + 13 to o, which gives o = h + 54.\n6. Substitute h = 16 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 8879,
"question": "Suppose a collection of variables is related by the following definitions: p = v + 3; y = x + 17; h = 16; k = p + 12; q = y + 10; x = c + 17; n = z + 6; z = h + 13; e = q + 18; c = h + 11; r = e + 1; v = n + 19; o = k + 1. Given that h = 16, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"t": "n + 13", "o": "t + 3", "s": "o + 16", "h": "s + 7", "l": "h + 10", "v": "l + 13", "d": "n + 14", "x": "d + 5", "w": "x + 10", "k": "w + 15", "c": "k + 8", "g": "c + 12", "n": 14}, "premises": {"n": 14}, "target": "v"}, "answer": {"steps": [["l", "h + 10", "h + 23"], ["h", "s + 7", "s + 30"], ["s", "o + 16", "o + 46"], ["o", "t + 3", "t + 49"], ["t", "n + 13", "n + 62"], ["n", 14, "76"]], "target_var_name": "v", "target_value": 76, "value_dict": {"n": 14}, "is_reverse": true}} | 8,880 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = o + 16; h = s + 7; g = c + 12; t = n + 13; x = d + 5; n = 14; o = t + 3; v = l + 13; l = h + 10; c = k + 8; d = n + 14; k = w + 15; w = x + 10. Given that n = 14, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 10 to v, which gives v = h + 23.\n2. Substitute h = s + 7 to v, which gives v = s + 30.\n3. Substitute s = o + 16 to v, which gives v = o + 46.\n4. Substitute o = t + 3 to v, which gives v = t + 49.\n5. Substitute t = n + 13 to v, which gives v = n + 62.\n6. Substitute n = 14 to v, which gives v = 76.\n\nThus, the final answer is v = \\boxed{76}.",
"index": 8880,
"question": "Suppose a collection of variables is related by the following definitions: s = o + 16; h = s + 7; g = c + 12; t = n + 13; x = d + 5; n = 14; o = t + 3; v = l + 13; l = h + 10; c = k + 8; d = n + 14; k = w + 15; w = x + 10. Given that n = 14, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 7", "e": "h + 17", "w": "e + 18", "b": "w + 3", "z": "b + 8", "y": "z + 18", "n": "r + 16", "p": "n + 10", "l": "p + 1", "c": "l + 1", "a": "c + 11", "x": "a + 13", "r": 11}, "premises": {"r": 11}, "target": "y"}, "answer": {"steps": [["z", "b + 8", "b + 26"], ["b", "w + 3", "w + 29"], ["w", "e + 18", "e + 47"], ["e", "h + 17", "h + 64"], ["h", "r + 7", "r + 71"], ["r", 11, "82"]], "target_var_name": "y", "target_value": 82, "value_dict": {"r": 11}, "is_reverse": true}} | 8,881 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = 11; h = r + 7; x = a + 13; w = e + 18; n = r + 16; y = z + 18; a = c + 11; e = h + 17; z = b + 8; b = w + 3; l = p + 1; p = n + 10; c = l + 1. If r = 11, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 8 to y, which gives y = b + 26.\n2. Substitute b = w + 3 to y, which gives y = w + 29.\n3. Substitute w = e + 18 to y, which gives y = e + 47.\n4. Substitute e = h + 17 to y, which gives y = h + 64.\n5. Substitute h = r + 7 to y, which gives y = r + 71.\n6. Substitute r = 11 to y, which gives y = 82.\n\nThus, the final answer is y = \\boxed{82}.",
"index": 8881,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 11; h = r + 7; x = a + 13; w = e + 18; n = r + 16; y = z + 18; a = c + 11; e = h + 17; z = b + 8; b = w + 3; l = p + 1; p = n + 10; c = l + 1. If r = 11, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"l": "o + 8", "i": "l + 13", "a": "i + 12", "h": "a + 14", "s": "h + 15", "u": "s + 3", "q": "o + 14", "b": "q + 1", "r": "b + 7", "n": "r + 4", "t": "n + 2", "m": "t + 7", "o": 16}, "premises": {"o": 16}, "target": "u"}, "answer": {"steps": [["s", "h + 15", "h + 18"], ["h", "a + 14", "a + 32"], ["a", "i + 12", "i + 44"], ["i", "l + 13", "l + 57"], ["l", "o + 8", "o + 65"], ["o", 16, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"o": 16}, "is_reverse": true}} | 8,882 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = n + 2; u = s + 3; h = a + 14; s = h + 15; q = o + 14; a = i + 12; r = b + 7; m = t + 7; b = q + 1; i = l + 13; o = 16; l = o + 8; n = r + 4. Given that o = 16, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 15 to u, which gives u = h + 18.\n2. Substitute h = a + 14 to u, which gives u = a + 32.\n3. Substitute a = i + 12 to u, which gives u = i + 44.\n4. Substitute i = l + 13 to u, which gives u = l + 57.\n5. Substitute l = o + 8 to u, which gives u = o + 65.\n6. Substitute o = 16 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 8882,
"question": "Suppose a collection of variables is related by the following definitions: t = n + 2; u = s + 3; h = a + 14; s = h + 15; q = o + 14; a = i + 12; r = b + 7; m = t + 7; b = q + 1; i = l + 13; o = 16; l = o + 8; n = r + 4. Given that o = 16, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 6", "d": "j + 14", "t": "d + 16", "q": "t + 18", "n": "q + 10", "z": "n + 17", "a": "x + 20", "m": "a + 6", "k": "m + 1", "i": "k + 7", "u": "i + 18", "o": "u + 7", "x": 10}, "premises": {"x": 10}, "target": "z"}, "answer": {"steps": [["n", "q + 10", "q + 27"], ["q", "t + 18", "t + 45"], ["t", "d + 16", "d + 61"], ["d", "j + 14", "j + 75"], ["j", "x + 6", "x + 81"], ["x", 10, "91"]], "target_var_name": "z", "target_value": 91, "value_dict": {"x": 10}, "is_reverse": true}} | 8,883 | 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 = d + 16; m = a + 6; o = u + 7; u = i + 18; j = x + 6; a = x + 20; i = k + 7; z = n + 17; n = q + 10; d = j + 14; k = m + 1; q = t + 18; x = 10. If x = 10, what is the resulting 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 n = q + 10 to z, which gives z = q + 27.\n2. Substitute q = t + 18 to z, which gives z = t + 45.\n3. Substitute t = d + 16 to z, which gives z = d + 61.\n4. Substitute d = j + 14 to z, which gives z = j + 75.\n5. Substitute j = x + 6 to z, which gives z = x + 81.\n6. Substitute x = 10 to z, which gives z = 91.\n\nThus, the final answer is z = \\boxed{91}.",
"index": 8883,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 16; m = a + 6; o = u + 7; u = i + 18; j = x + 6; a = x + 20; i = k + 7; z = n + 17; n = q + 10; d = j + 14; k = m + 1; q = t + 18; x = 10. If x = 10, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"a": "d + 18", "l": "a + 17", "y": "l + 9", "h": "y + 4", "k": "h + 17", "n": "k + 5", "v": "d + 3", "i": "v + 8", "b": "i + 20", "x": "b + 7", "u": "x + 8", "r": "u + 9", "d": 1}, "premises": {"d": 1}, "target": "n"}, "answer": {"steps": [["k", "h + 17", "h + 22"], ["h", "y + 4", "y + 26"], ["y", "l + 9", "l + 35"], ["l", "a + 17", "a + 52"], ["a", "d + 18", "d + 70"], ["d", 1, "71"]], "target_var_name": "n", "target_value": 71, "value_dict": {"d": 1}, "is_reverse": true}} | 8,884 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = 1; n = k + 5; r = u + 9; a = d + 18; i = v + 8; u = x + 8; l = a + 17; b = i + 20; k = h + 17; h = y + 4; v = d + 3; x = b + 7; y = l + 9. If d = 1, what is the resulting 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 k = h + 17 to n, which gives n = h + 22.\n2. Substitute h = y + 4 to n, which gives n = y + 26.\n3. Substitute y = l + 9 to n, which gives n = l + 35.\n4. Substitute l = a + 17 to n, which gives n = a + 52.\n5. Substitute a = d + 18 to n, which gives n = d + 70.\n6. Substitute d = 1 to n, which gives n = 71.\n\nThus, the final answer is n = \\boxed{71}.",
"index": 8884,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 1; n = k + 5; r = u + 9; a = d + 18; i = v + 8; u = x + 8; l = a + 17; b = i + 20; k = h + 17; h = y + 4; v = d + 3; x = b + 7; y = l + 9. If d = 1, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"m": "v + 15", "r": "m + 6", "t": "r + 20", "u": "t + 9", "l": "u + 3", "w": "l + 10", "s": "v + 18", "h": "s + 1", "a": "h + 4", "q": "a + 20", "z": "q + 13", "n": "z + 3", "v": 18}, "premises": {"v": 18}, "target": "w"}, "answer": {"steps": [["l", "u + 3", "u + 13"], ["u", "t + 9", "t + 22"], ["t", "r + 20", "r + 42"], ["r", "m + 6", "m + 48"], ["m", "v + 15", "v + 63"], ["v", 18, "81"]], "target_var_name": "w", "target_value": 81, "value_dict": {"v": 18}, "is_reverse": true}} | 8,885 | 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 = q + 13; s = v + 18; l = u + 3; n = z + 3; u = t + 9; m = v + 15; a = h + 4; h = s + 1; w = l + 10; v = 18; q = a + 20; r = m + 6; t = r + 20. If v = 18, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 3 to w, which gives w = u + 13.\n2. Substitute u = t + 9 to w, which gives w = t + 22.\n3. Substitute t = r + 20 to w, which gives w = r + 42.\n4. Substitute r = m + 6 to w, which gives w = m + 48.\n5. Substitute m = v + 15 to w, which gives w = v + 63.\n6. Substitute v = 18 to w, which gives w = 81.\n\nThus, the final answer is w = \\boxed{81}.",
"index": 8885,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 13; s = v + 18; l = u + 3; n = z + 3; u = t + 9; m = v + 15; a = h + 4; h = s + 1; w = l + 10; v = 18; q = a + 20; r = m + 6; t = r + 20. If v = 18, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"c": "d + 3", "i": "c + 12", "x": "i + 3", "w": "x + 8", "v": "w + 15", "j": "v + 16", "r": "d + 2", "o": "r + 18", "l": "o + 7", "a": "l + 15", "p": "a + 10", "f": "p + 12", "d": 12}, "premises": {"d": 12}, "target": "j"}, "answer": {"steps": [["v", "w + 15", "w + 31"], ["w", "x + 8", "x + 39"], ["x", "i + 3", "i + 42"], ["i", "c + 12", "c + 54"], ["c", "d + 3", "d + 57"], ["d", 12, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"d": 12}, "is_reverse": true}} | 8,886 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = d + 3; o = r + 18; p = a + 10; x = i + 3; j = v + 16; l = o + 7; f = p + 12; r = d + 2; a = l + 15; v = w + 15; i = c + 12; d = 12; w = x + 8. If d = 12, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 15 to j, which gives j = w + 31.\n2. Substitute w = x + 8 to j, which gives j = x + 39.\n3. Substitute x = i + 3 to j, which gives j = i + 42.\n4. Substitute i = c + 12 to j, which gives j = c + 54.\n5. Substitute c = d + 3 to j, which gives j = d + 57.\n6. Substitute d = 12 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 8886,
"question": "Consider a system of variables where each variable is defined as follows: c = d + 3; o = r + 18; p = a + 10; x = i + 3; j = v + 16; l = o + 7; f = p + 12; r = d + 2; a = l + 15; v = w + 15; i = c + 12; d = 12; w = x + 8. If d = 12, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 6", "z": "u + 1", "o": "z + 19", "y": "o + 2", "k": "y + 18", "l": "k + 13", "h": "f + 8", "e": "h + 5", "r": "e + 18", "g": "r + 3", "n": "g + 1", "t": "n + 1", "f": 12}, "premises": {"f": 12}, "target": "l"}, "answer": {"steps": [["k", "y + 18", "y + 31"], ["y", "o + 2", "o + 33"], ["o", "z + 19", "z + 52"], ["z", "u + 1", "u + 53"], ["u", "f + 6", "f + 59"], ["f", 12, "71"]], "target_var_name": "l", "target_value": 71, "value_dict": {"f": 12}, "is_reverse": true}} | 8,887 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 18; z = u + 1; y = o + 2; t = n + 1; u = f + 6; r = e + 18; o = z + 19; l = k + 13; h = f + 8; f = 12; g = r + 3; e = h + 5; n = g + 1. If f = 12, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 18 to l, which gives l = y + 31.\n2. Substitute y = o + 2 to l, which gives l = o + 33.\n3. Substitute o = z + 19 to l, which gives l = z + 52.\n4. Substitute z = u + 1 to l, which gives l = u + 53.\n5. Substitute u = f + 6 to l, which gives l = f + 59.\n6. Substitute f = 12 to l, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 8887,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 18; z = u + 1; y = o + 2; t = n + 1; u = f + 6; r = e + 18; o = z + 19; l = k + 13; h = f + 8; f = 12; g = r + 3; e = h + 5; n = g + 1. If f = 12, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"e": "o + 8", "p": "e + 16", "q": "p + 19", "t": "q + 19", "h": "t + 9", "k": "h + 19", "x": "o + 5", "g": "x + 6", "c": "g + 4", "l": "c + 14", "u": "l + 16", "r": "u + 19", "o": 10}, "premises": {"o": 10}, "target": "k"}, "answer": {"steps": [["h", "t + 9", "t + 28"], ["t", "q + 19", "q + 47"], ["q", "p + 19", "p + 66"], ["p", "e + 16", "e + 82"], ["e", "o + 8", "o + 90"], ["o", 10, "100"]], "target_var_name": "k", "target_value": 100, "value_dict": {"o": 10}, "is_reverse": true}} | 8,888 | 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 = o + 8; p = e + 16; x = o + 5; l = c + 14; k = h + 19; r = u + 19; g = x + 6; o = 10; h = t + 9; q = p + 19; c = g + 4; t = q + 19; u = l + 16. If o = 10, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 9 to k, which gives k = t + 28.\n2. Substitute t = q + 19 to k, which gives k = q + 47.\n3. Substitute q = p + 19 to k, which gives k = p + 66.\n4. Substitute p = e + 16 to k, which gives k = e + 82.\n5. Substitute e = o + 8 to k, which gives k = o + 90.\n6. Substitute o = 10 to k, which gives k = 100.\n\nThus, the final answer is k = \\boxed{100}.",
"index": 8888,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = o + 8; p = e + 16; x = o + 5; l = c + 14; k = h + 19; r = u + 19; g = x + 6; o = 10; h = t + 9; q = p + 19; c = g + 4; t = q + 19; u = l + 16. If o = 10, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"h": "o + 10", "j": "h + 13", "w": "j + 16", "a": "w + 5", "k": "a + 20", "s": "k + 4", "z": "o + 17", "b": "z + 7", "g": "b + 17", "u": "g + 3", "m": "u + 6", "p": "m + 18", "o": 14}, "premises": {"o": 14}, "target": "s"}, "answer": {"steps": [["k", "a + 20", "a + 24"], ["a", "w + 5", "w + 29"], ["w", "j + 16", "j + 45"], ["j", "h + 13", "h + 58"], ["h", "o + 10", "o + 68"], ["o", 14, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"o": 14}, "is_reverse": true}} | 8,889 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = o + 10; b = z + 7; o = 14; a = w + 5; p = m + 18; s = k + 4; k = a + 20; z = o + 17; g = b + 17; j = h + 13; u = g + 3; w = j + 16; m = u + 6. If o = 14, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 20 to s, which gives s = a + 24.\n2. Substitute a = w + 5 to s, which gives s = w + 29.\n3. Substitute w = j + 16 to s, which gives s = j + 45.\n4. Substitute j = h + 13 to s, which gives s = h + 58.\n5. Substitute h = o + 10 to s, which gives s = o + 68.\n6. Substitute o = 14 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 8889,
"question": "Consider a system of variables where each variable is defined as follows: h = o + 10; b = z + 7; o = 14; a = w + 5; p = m + 18; s = k + 4; k = a + 20; z = o + 17; g = b + 17; j = h + 13; u = g + 3; w = j + 16; m = u + 6. If o = 14, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "y + 16", "n": "g + 3", "q": "n + 13", "d": "q + 5", "a": "d + 19", "z": "a + 11", "b": "y + 4", "w": "b + 15", "s": "w + 9", "p": "s + 6", "v": "p + 13", "u": "v + 1", "y": 7}, "premises": {"y": 7}, "target": "z"}, "answer": {"steps": [["a", "d + 19", "d + 30"], ["d", "q + 5", "q + 35"], ["q", "n + 13", "n + 48"], ["n", "g + 3", "g + 51"], ["g", "y + 16", "y + 67"], ["y", 7, "74"]], "target_var_name": "z", "target_value": 74, "value_dict": {"y": 7}, "is_reverse": true}} | 8,890 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 7; g = y + 16; q = n + 13; n = g + 3; b = y + 4; d = q + 5; z = a + 11; s = w + 9; v = p + 13; p = s + 6; a = d + 19; u = v + 1; w = b + 15. Given that y = 7, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 19 to z, which gives z = d + 30.\n2. Substitute d = q + 5 to z, which gives z = q + 35.\n3. Substitute q = n + 13 to z, which gives z = n + 48.\n4. Substitute n = g + 3 to z, which gives z = g + 51.\n5. Substitute g = y + 16 to z, which gives z = y + 67.\n6. Substitute y = 7 to z, which gives z = 74.\n\nThus, the final answer is z = \\boxed{74}.",
"index": 8890,
"question": "Suppose a collection of variables is related by the following definitions: y = 7; g = y + 16; q = n + 13; n = g + 3; b = y + 4; d = q + 5; z = a + 11; s = w + 9; v = p + 13; p = s + 6; a = d + 19; u = v + 1; w = b + 15. Given that y = 7, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 8", "u": "b + 18", "s": "u + 14", "t": "s + 20", "k": "t + 3", "m": "k + 11", "r": "d + 3", "l": "r + 5", "q": "l + 2", "f": "q + 8", "h": "f + 13", "z": "h + 18", "d": 2}, "premises": {"d": 2}, "target": "m"}, "answer": {"steps": [["k", "t + 3", "t + 14"], ["t", "s + 20", "s + 34"], ["s", "u + 14", "u + 48"], ["u", "b + 18", "b + 66"], ["b", "d + 8", "d + 74"], ["d", 2, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"d": 2}, "is_reverse": true}} | 8,891 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = b + 18; l = r + 5; r = d + 3; m = k + 11; s = u + 14; z = h + 18; b = d + 8; k = t + 3; h = f + 13; t = s + 20; d = 2; f = q + 8; q = l + 2. Given that d = 2, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 3 to m, which gives m = t + 14.\n2. Substitute t = s + 20 to m, which gives m = s + 34.\n3. Substitute s = u + 14 to m, which gives m = u + 48.\n4. Substitute u = b + 18 to m, which gives m = b + 66.\n5. Substitute b = d + 8 to m, which gives m = d + 74.\n6. Substitute d = 2 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 8891,
"question": "Suppose a collection of variables is related by the following definitions: u = b + 18; l = r + 5; r = d + 3; m = k + 11; s = u + 14; z = h + 18; b = d + 8; k = t + 3; h = f + 13; t = s + 20; d = 2; f = q + 8; q = l + 2. Given that d = 2, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"z": "p + 16", "j": "z + 19", "t": "j + 4", "w": "t + 10", "o": "w + 16", "v": "o + 19", "y": "p + 18", "f": "y + 20", "x": "f + 6", "d": "x + 12", "n": "d + 19", "r": "n + 19", "p": 6}, "premises": {"p": 6}, "target": "v"}, "answer": {"steps": [["o", "w + 16", "w + 35"], ["w", "t + 10", "t + 45"], ["t", "j + 4", "j + 49"], ["j", "z + 19", "z + 68"], ["z", "p + 16", "p + 84"], ["p", 6, "90"]], "target_var_name": "v", "target_value": 90, "value_dict": {"p": 6}, "is_reverse": true}} | 8,892 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = n + 19; o = w + 16; p = 6; f = y + 20; w = t + 10; n = d + 19; j = z + 19; v = o + 19; y = p + 18; z = p + 16; d = x + 12; x = f + 6; t = j + 4. If p = 6, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 16 to v, which gives v = w + 35.\n2. Substitute w = t + 10 to v, which gives v = t + 45.\n3. Substitute t = j + 4 to v, which gives v = j + 49.\n4. Substitute j = z + 19 to v, which gives v = z + 68.\n5. Substitute z = p + 16 to v, which gives v = p + 84.\n6. Substitute p = 6 to v, which gives v = 90.\n\nThus, the final answer is v = \\boxed{90}.",
"index": 8892,
"question": "Consider a system of variables where each variable is defined as follows: r = n + 19; o = w + 16; p = 6; f = y + 20; w = t + 10; n = d + 19; j = z + 19; v = o + 19; y = p + 18; z = p + 16; d = x + 12; x = f + 6; t = j + 4. If p = 6, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 10", "w": "a + 17", "q": "w + 7", "e": "q + 3", "j": "e + 7", "f": "j + 6", "k": "z + 3", "d": "k + 13", "i": "d + 17", "y": "i + 8", "v": "y + 9", "h": "v + 13", "z": 12}, "premises": {"z": 12}, "target": "f"}, "answer": {"steps": [["j", "e + 7", "e + 13"], ["e", "q + 3", "q + 16"], ["q", "w + 7", "w + 23"], ["w", "a + 17", "a + 40"], ["a", "z + 10", "z + 50"], ["z", 12, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"z": 12}, "is_reverse": true}} | 8,893 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = 12; a = z + 10; d = k + 13; v = y + 9; k = z + 3; y = i + 8; j = e + 7; f = j + 6; w = a + 17; q = w + 7; h = v + 13; i = d + 17; e = q + 3. If z = 12, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 7 to f, which gives f = e + 13.\n2. Substitute e = q + 3 to f, which gives f = q + 16.\n3. Substitute q = w + 7 to f, which gives f = w + 23.\n4. Substitute w = a + 17 to f, which gives f = a + 40.\n5. Substitute a = z + 10 to f, which gives f = z + 50.\n6. Substitute z = 12 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 8893,
"question": "Consider a system of variables where each variable is defined as follows: z = 12; a = z + 10; d = k + 13; v = y + 9; k = z + 3; y = i + 8; j = e + 7; f = j + 6; w = a + 17; q = w + 7; h = v + 13; i = d + 17; e = q + 3. If z = 12, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "y + 3", "k": "e + 7", "b": "k + 10", "m": "b + 16", "d": "m + 13", "z": "d + 4", "p": "y + 18", "u": "p + 7", "l": "u + 6", "r": "l + 5", "q": "r + 15", "n": "q + 6", "y": 5}, "premises": {"y": 5}, "target": "z"}, "answer": {"steps": [["d", "m + 13", "m + 17"], ["m", "b + 16", "b + 33"], ["b", "k + 10", "k + 43"], ["k", "e + 7", "e + 50"], ["e", "y + 3", "y + 53"], ["y", 5, "58"]], "target_var_name": "z", "target_value": 58, "value_dict": {"y": 5}, "is_reverse": true}} | 8,894 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = q + 6; p = y + 18; m = b + 16; l = u + 6; k = e + 7; r = l + 5; d = m + 13; y = 5; u = p + 7; z = d + 4; b = k + 10; q = r + 15; e = y + 3. If y = 5, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 13 to z, which gives z = m + 17.\n2. Substitute m = b + 16 to z, which gives z = b + 33.\n3. Substitute b = k + 10 to z, which gives z = k + 43.\n4. Substitute k = e + 7 to z, which gives z = e + 50.\n5. Substitute e = y + 3 to z, which gives z = y + 53.\n6. Substitute y = 5 to z, which gives z = 58.\n\nThus, the final answer is z = \\boxed{58}.",
"index": 8894,
"question": "Consider a system of variables where each variable is defined as follows: n = q + 6; p = y + 18; m = b + 16; l = u + 6; k = e + 7; r = l + 5; d = m + 13; y = 5; u = p + 7; z = d + 4; b = k + 10; q = r + 15; e = y + 3. If y = 5, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"j": "a + 3", "n": "j + 12", "m": "n + 17", "u": "m + 1", "w": "u + 6", "h": "w + 10", "b": "a + 19", "g": "b + 14", "z": "g + 6", "r": "z + 9", "y": "r + 14", "o": "y + 5", "a": 4}, "premises": {"a": 4}, "target": "h"}, "answer": {"steps": [["w", "u + 6", "u + 16"], ["u", "m + 1", "m + 17"], ["m", "n + 17", "n + 34"], ["n", "j + 12", "j + 46"], ["j", "a + 3", "a + 49"], ["a", 4, "53"]], "target_var_name": "h", "target_value": 53, "value_dict": {"a": 4}, "is_reverse": true}} | 8,895 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 6; n = j + 12; b = a + 19; u = m + 1; m = n + 17; o = y + 5; z = g + 6; r = z + 9; j = a + 3; y = r + 14; a = 4; h = w + 10; g = b + 14. If a = 4, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 6 to h, which gives h = u + 16.\n2. Substitute u = m + 1 to h, which gives h = m + 17.\n3. Substitute m = n + 17 to h, which gives h = n + 34.\n4. Substitute n = j + 12 to h, which gives h = j + 46.\n5. Substitute j = a + 3 to h, which gives h = a + 49.\n6. Substitute a = 4 to h, which gives h = 53.\n\nThus, the final answer is h = \\boxed{53}.",
"index": 8895,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 6; n = j + 12; b = a + 19; u = m + 1; m = n + 17; o = y + 5; z = g + 6; r = z + 9; j = a + 3; y = r + 14; a = 4; h = w + 10; g = b + 14. If a = 4, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 9", "o": "v + 18", "r": "o + 10", "y": "r + 18", "m": "y + 9", "n": "m + 1", "q": "p + 8", "j": "q + 14", "g": "j + 18", "t": "g + 20", "i": "t + 17", "b": "i + 10", "p": 7}, "premises": {"p": 7}, "target": "n"}, "answer": {"steps": [["m", "y + 9", "y + 10"], ["y", "r + 18", "r + 28"], ["r", "o + 10", "o + 38"], ["o", "v + 18", "v + 56"], ["v", "p + 9", "p + 65"], ["p", 7, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"p": 7}, "is_reverse": true}} | 8,896 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = p + 8; g = j + 18; v = p + 9; n = m + 1; b = i + 10; j = q + 14; t = g + 20; r = o + 10; p = 7; m = y + 9; i = t + 17; y = r + 18; o = v + 18. If p = 7, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 9 to n, which gives n = y + 10.\n2. Substitute y = r + 18 to n, which gives n = r + 28.\n3. Substitute r = o + 10 to n, which gives n = o + 38.\n4. Substitute o = v + 18 to n, which gives n = v + 56.\n5. Substitute v = p + 9 to n, which gives n = p + 65.\n6. Substitute p = 7 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 8896,
"question": "Consider a system of variables where each variable is defined as follows: q = p + 8; g = j + 18; v = p + 9; n = m + 1; b = i + 10; j = q + 14; t = g + 20; r = o + 10; p = 7; m = y + 9; i = t + 17; y = r + 18; o = v + 18. If p = 7, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 13", "v": "r + 7", "s": "v + 13", "f": "s + 16", "w": "f + 2", "l": "w + 13", "n": "z + 18", "i": "n + 12", "g": "i + 15", "h": "g + 17", "y": "h + 15", "m": "y + 9", "z": 19}, "premises": {"z": 19}, "target": "l"}, "answer": {"steps": [["w", "f + 2", "f + 15"], ["f", "s + 16", "s + 31"], ["s", "v + 13", "v + 44"], ["v", "r + 7", "r + 51"], ["r", "z + 13", "z + 64"], ["z", 19, "83"]], "target_var_name": "l", "target_value": 83, "value_dict": {"z": 19}, "is_reverse": true}} | 8,897 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = 19; y = h + 15; r = z + 13; m = y + 9; h = g + 17; f = s + 16; i = n + 12; s = v + 13; w = f + 2; v = r + 7; l = w + 13; n = z + 18; g = i + 15. If z = 19, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 2 to l, which gives l = f + 15.\n2. Substitute f = s + 16 to l, which gives l = s + 31.\n3. Substitute s = v + 13 to l, which gives l = v + 44.\n4. Substitute v = r + 7 to l, which gives l = r + 51.\n5. Substitute r = z + 13 to l, which gives l = z + 64.\n6. Substitute z = 19 to l, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 8897,
"question": "Consider a system of variables where each variable is defined as follows: z = 19; y = h + 15; r = z + 13; m = y + 9; h = g + 17; f = s + 16; i = n + 12; s = v + 13; w = f + 2; v = r + 7; l = w + 13; n = z + 18; g = i + 15. If z = 19, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 11", "q": "o + 7", "g": "q + 11", "s": "g + 8", "t": "s + 1", "w": "t + 8", "d": "v + 15", "p": "d + 5", "x": "p + 16", "y": "x + 14", "l": "y + 14", "j": "l + 20", "v": 6}, "premises": {"v": 6}, "target": "w"}, "answer": {"steps": [["t", "s + 1", "s + 9"], ["s", "g + 8", "g + 17"], ["g", "q + 11", "q + 28"], ["q", "o + 7", "o + 35"], ["o", "v + 11", "v + 46"], ["v", 6, "52"]], "target_var_name": "w", "target_value": 52, "value_dict": {"v": 6}, "is_reverse": true}} | 8,898 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = t + 8; l = y + 14; d = v + 15; y = x + 14; x = p + 16; t = s + 1; v = 6; o = v + 11; j = l + 20; p = d + 5; s = g + 8; g = q + 11; q = o + 7. Given that v = 6, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 1 to w, which gives w = s + 9.\n2. Substitute s = g + 8 to w, which gives w = g + 17.\n3. Substitute g = q + 11 to w, which gives w = q + 28.\n4. Substitute q = o + 7 to w, which gives w = o + 35.\n5. Substitute o = v + 11 to w, which gives w = v + 46.\n6. Substitute v = 6 to w, which gives w = 52.\n\nThus, the final answer is w = \\boxed{52}.",
"index": 8898,
"question": "Suppose a collection of variables is related by the following definitions: w = t + 8; l = y + 14; d = v + 15; y = x + 14; x = p + 16; t = s + 1; v = 6; o = v + 11; j = l + 20; p = d + 5; s = g + 8; g = q + 11; q = o + 7. Given that v = 6, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 10", "s": "d + 19", "f": "s + 18", "w": "f + 20", "k": "w + 20", "x": "k + 11", "j": "p + 7", "r": "j + 5", "u": "r + 13", "g": "u + 16", "q": "g + 9", "v": "q + 13", "p": 16}, "premises": {"p": 16}, "target": "x"}, "answer": {"steps": [["k", "w + 20", "w + 31"], ["w", "f + 20", "f + 51"], ["f", "s + 18", "s + 69"], ["s", "d + 19", "d + 88"], ["d", "p + 10", "p + 98"], ["p", 16, "114"]], "target_var_name": "x", "target_value": 114, "value_dict": {"p": 16}, "is_reverse": true}} | 8,899 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = p + 7; g = u + 16; w = f + 20; q = g + 9; p = 16; d = p + 10; f = s + 18; s = d + 19; x = k + 11; r = j + 5; k = w + 20; u = r + 13; v = q + 13. Given that p = 16, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 114,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 20 to x, which gives x = w + 31.\n2. Substitute w = f + 20 to x, which gives x = f + 51.\n3. Substitute f = s + 18 to x, which gives x = s + 69.\n4. Substitute s = d + 19 to x, which gives x = d + 88.\n5. Substitute d = p + 10 to x, which gives x = p + 98.\n6. Substitute p = 16 to x, which gives x = 114.\n\nThus, the final answer is x = \\boxed{114}.",
"index": 8899,
"question": "Suppose a collection of variables is related by the following definitions: j = p + 7; g = u + 16; w = f + 20; q = g + 9; p = 16; d = p + 10; f = s + 18; s = d + 19; x = k + 11; r = j + 5; k = w + 20; u = r + 13; v = q + 13. Given that p = 16, find the value of x.",
"split": "train"
} |
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