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": {"y": "e + 5", "k": "y + 4", "m": "k + 16", "c": "m + 3", "b": "c + 14", "x": "b + 12", "o": "e + 19", "r": "o + 1", "w": "r + 12", "l": "w + 17", "z": "l + 18", "g": "z + 10", "e": 8}, "premises": {"e": 8}, "target": "x"}, "answer": {"steps": [["b", "c + 14", "c + 26"], ["c", "m + 3", "m + 29"], ["m", "k + 16", "k + 45"], ["k", "y + 4", "y + 49"], ["y", "e + 5", "e + 54"], ["e", 8, "62"]], "target_var_name": "x", "target_value": 62, "value_dict": {"e": 8}, "is_reverse": true}} | 5,800 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = k + 16; o = e + 19; w = r + 12; z = l + 18; g = z + 10; x = b + 12; e = 8; y = e + 5; r = o + 1; b = c + 14; c = m + 3; k = y + 4; l = w + 17. If e = 8, determine 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 b = c + 14 to x, which gives x = c + 26.\n2. Substitute c = m + 3 to x, which gives x = m + 29.\n3. Substitute m = k + 16 to x, which gives x = k + 45.\n4. Substitute k = y + 4 to x, which gives x = y + 49.\n5. Substitute y = e + 5 to x, which gives x = e + 54.\n6. Substitute e = 8 to x, which gives x = 62.\n\nThus, the final answer is x = \\boxed{62}.",
"index": 5800,
"question": "Consider a system of variables where each variable is defined as follows: m = k + 16; o = e + 19; w = r + 12; z = l + 18; g = z + 10; x = b + 12; e = 8; y = e + 5; r = o + 1; b = c + 14; c = m + 3; k = y + 4; l = w + 17. If e = 8, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 17", "g": "k + 4", "x": "g + 6", "m": "x + 1", "t": "m + 3", "q": "t + 11", "p": "r + 17", "h": "p + 16", "j": "h + 2", "l": "j + 9", "a": "l + 19", "i": "a + 19", "r": 15}, "premises": {"r": 15}, "target": "q"}, "answer": {"steps": [["t", "m + 3", "m + 14"], ["m", "x + 1", "x + 15"], ["x", "g + 6", "g + 21"], ["g", "k + 4", "k + 25"], ["k", "r + 17", "r + 42"], ["r", 15, "57"]], "target_var_name": "q", "target_value": 57, "value_dict": {"r": 15}, "is_reverse": true}} | 5,801 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = g + 6; q = t + 11; t = m + 3; a = l + 19; g = k + 4; p = r + 17; i = a + 19; j = h + 2; h = p + 16; l = j + 9; r = 15; m = x + 1; k = r + 17. If r = 15, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 3 to q, which gives q = m + 14.\n2. Substitute m = x + 1 to q, which gives q = x + 15.\n3. Substitute x = g + 6 to q, which gives q = g + 21.\n4. Substitute g = k + 4 to q, which gives q = k + 25.\n5. Substitute k = r + 17 to q, which gives q = r + 42.\n6. Substitute r = 15 to q, which gives q = 57.\n\nThus, the final answer is q = \\boxed{57}.",
"index": 5801,
"question": "Consider a system of variables where each variable is defined as follows: x = g + 6; q = t + 11; t = m + 3; a = l + 19; g = k + 4; p = r + 17; i = a + 19; j = h + 2; h = p + 16; l = j + 9; r = 15; m = x + 1; k = r + 17. If r = 15, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"i": "f + 9", "s": "i + 4", "x": "s + 17", "l": "x + 10", "r": "l + 13", "p": "r + 8", "z": "f + 18", "h": "z + 19", "t": "h + 3", "c": "t + 20", "u": "c + 19", "v": "u + 3", "f": 7}, "premises": {"f": 7}, "target": "p"}, "answer": {"steps": [["r", "l + 13", "l + 21"], ["l", "x + 10", "x + 31"], ["x", "s + 17", "s + 48"], ["s", "i + 4", "i + 52"], ["i", "f + 9", "f + 61"], ["f", 7, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"f": 7}, "is_reverse": true}} | 5,802 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = h + 3; p = r + 8; s = i + 4; z = f + 18; i = f + 9; v = u + 3; h = z + 19; c = t + 20; l = x + 10; r = l + 13; u = c + 19; f = 7; x = s + 17. Given that f = 7, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 13 to p, which gives p = l + 21.\n2. Substitute l = x + 10 to p, which gives p = x + 31.\n3. Substitute x = s + 17 to p, which gives p = s + 48.\n4. Substitute s = i + 4 to p, which gives p = i + 52.\n5. Substitute i = f + 9 to p, which gives p = f + 61.\n6. Substitute f = 7 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 5802,
"question": "Suppose a collection of variables is related by the following definitions: t = h + 3; p = r + 8; s = i + 4; z = f + 18; i = f + 9; v = u + 3; h = z + 19; c = t + 20; l = x + 10; r = l + 13; u = c + 19; f = 7; x = s + 17. Given that f = 7, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 8", "c": "i + 12", "r": "c + 8", "j": "r + 18", "m": "j + 2", "s": "m + 15", "t": "v + 5", "b": "t + 17", "x": "b + 11", "p": "x + 6", "n": "p + 6", "u": "n + 5", "v": 8}, "premises": {"v": 8}, "target": "s"}, "answer": {"steps": [["m", "j + 2", "j + 17"], ["j", "r + 18", "r + 35"], ["r", "c + 8", "c + 43"], ["c", "i + 12", "i + 55"], ["i", "v + 8", "v + 63"], ["v", 8, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"v": 8}, "is_reverse": true}} | 5,803 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = t + 17; v = 8; i = v + 8; r = c + 8; j = r + 18; s = m + 15; x = b + 11; p = x + 6; c = i + 12; u = n + 5; n = p + 6; t = v + 5; m = j + 2. If v = 8, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 2 to s, which gives s = j + 17.\n2. Substitute j = r + 18 to s, which gives s = r + 35.\n3. Substitute r = c + 8 to s, which gives s = c + 43.\n4. Substitute c = i + 12 to s, which gives s = i + 55.\n5. Substitute i = v + 8 to s, which gives s = v + 63.\n6. Substitute v = 8 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 5803,
"question": "Consider a system of variables where each variable is defined as follows: b = t + 17; v = 8; i = v + 8; r = c + 8; j = r + 18; s = m + 15; x = b + 11; p = x + 6; c = i + 12; u = n + 5; n = p + 6; t = v + 5; m = j + 2. If v = 8, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 6", "r": "w + 8", "k": "r + 4", "b": "k + 10", "q": "b + 20", "j": "q + 20", "n": "p + 18", "l": "n + 20", "z": "l + 9", "s": "z + 17", "u": "s + 12", "y": "u + 16", "p": 6}, "premises": {"p": 6}, "target": "j"}, "answer": {"steps": [["q", "b + 20", "b + 40"], ["b", "k + 10", "k + 50"], ["k", "r + 4", "r + 54"], ["r", "w + 8", "w + 62"], ["w", "p + 6", "p + 68"], ["p", 6, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"p": 6}, "is_reverse": true}} | 5,804 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = p + 18; z = l + 9; j = q + 20; w = p + 6; y = u + 16; b = k + 10; r = w + 8; p = 6; s = z + 17; k = r + 4; q = b + 20; l = n + 20; u = s + 12. Given that p = 6, find the 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 q = b + 20 to j, which gives j = b + 40.\n2. Substitute b = k + 10 to j, which gives j = k + 50.\n3. Substitute k = r + 4 to j, which gives j = r + 54.\n4. Substitute r = w + 8 to j, which gives j = w + 62.\n5. Substitute w = p + 6 to j, which gives j = p + 68.\n6. Substitute p = 6 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 5804,
"question": "Suppose a collection of variables is related by the following definitions: n = p + 18; z = l + 9; j = q + 20; w = p + 6; y = u + 16; b = k + 10; r = w + 8; p = 6; s = z + 17; k = r + 4; q = b + 20; l = n + 20; u = s + 12. Given that p = 6, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"b": "u + 20", "y": "b + 12", "j": "y + 5", "m": "j + 7", "g": "m + 20", "v": "g + 10", "d": "u + 12", "w": "d + 1", "q": "w + 20", "z": "q + 9", "t": "z + 17", "c": "t + 3", "u": 7}, "premises": {"u": 7}, "target": "v"}, "answer": {"steps": [["g", "m + 20", "m + 30"], ["m", "j + 7", "j + 37"], ["j", "y + 5", "y + 42"], ["y", "b + 12", "b + 54"], ["b", "u + 20", "u + 74"], ["u", 7, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"u": 7}, "is_reverse": true}} | 5,805 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = y + 5; y = b + 12; z = q + 9; b = u + 20; c = t + 3; u = 7; g = m + 20; q = w + 20; t = z + 17; d = u + 12; v = g + 10; m = j + 7; w = d + 1. Given that u = 7, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 20 to v, which gives v = m + 30.\n2. Substitute m = j + 7 to v, which gives v = j + 37.\n3. Substitute j = y + 5 to v, which gives v = y + 42.\n4. Substitute y = b + 12 to v, which gives v = b + 54.\n5. Substitute b = u + 20 to v, which gives v = u + 74.\n6. Substitute u = 7 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 5805,
"question": "Suppose a collection of variables is related by the following definitions: j = y + 5; y = b + 12; z = q + 9; b = u + 20; c = t + 3; u = 7; g = m + 20; q = w + 20; t = z + 17; d = u + 12; v = g + 10; m = j + 7; w = d + 1. Given that u = 7, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"a": "q + 11", "g": "a + 20", "n": "g + 18", "y": "n + 10", "k": "y + 2", "e": "k + 19", "p": "q + 10", "r": "p + 6", "j": "r + 4", "h": "j + 3", "z": "h + 6", "v": "z + 6", "q": 12}, "premises": {"q": 12}, "target": "e"}, "answer": {"steps": [["k", "y + 2", "y + 21"], ["y", "n + 10", "n + 31"], ["n", "g + 18", "g + 49"], ["g", "a + 20", "a + 69"], ["a", "q + 11", "q + 80"], ["q", 12, "92"]], "target_var_name": "e", "target_value": 92, "value_dict": {"q": 12}, "is_reverse": true}} | 5,806 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = g + 18; e = k + 19; z = h + 6; r = p + 6; a = q + 11; y = n + 10; q = 12; v = z + 6; k = y + 2; j = r + 4; p = q + 10; g = a + 20; h = j + 3. If q = 12, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 2 to e, which gives e = y + 21.\n2. Substitute y = n + 10 to e, which gives e = n + 31.\n3. Substitute n = g + 18 to e, which gives e = g + 49.\n4. Substitute g = a + 20 to e, which gives e = a + 69.\n5. Substitute a = q + 11 to e, which gives e = q + 80.\n6. Substitute q = 12 to e, which gives e = 92.\n\nThus, the final answer is e = \\boxed{92}.",
"index": 5806,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = g + 18; e = k + 19; z = h + 6; r = p + 6; a = q + 11; y = n + 10; q = 12; v = z + 6; k = y + 2; j = r + 4; p = q + 10; g = a + 20; h = j + 3. If q = 12, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 9", "i": "n + 13", "g": "i + 7", "s": "g + 5", "l": "s + 2", "z": "l + 15", "w": "r + 17", "h": "w + 9", "t": "h + 1", "p": "t + 16", "f": "p + 9", "k": "f + 15", "r": 1}, "premises": {"r": 1}, "target": "z"}, "answer": {"steps": [["l", "s + 2", "s + 17"], ["s", "g + 5", "g + 22"], ["g", "i + 7", "i + 29"], ["i", "n + 13", "n + 42"], ["n", "r + 9", "r + 51"], ["r", 1, "52"]], "target_var_name": "z", "target_value": 52, "value_dict": {"r": 1}, "is_reverse": true}} | 5,807 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = w + 9; w = r + 17; z = l + 15; s = g + 5; i = n + 13; k = f + 15; n = r + 9; l = s + 2; g = i + 7; r = 1; t = h + 1; p = t + 16; f = p + 9. If r = 1, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 2 to z, which gives z = s + 17.\n2. Substitute s = g + 5 to z, which gives z = g + 22.\n3. Substitute g = i + 7 to z, which gives z = i + 29.\n4. Substitute i = n + 13 to z, which gives z = n + 42.\n5. Substitute n = r + 9 to z, which gives z = r + 51.\n6. Substitute r = 1 to z, which gives z = 52.\n\nThus, the final answer is z = \\boxed{52}.",
"index": 5807,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = w + 9; w = r + 17; z = l + 15; s = g + 5; i = n + 13; k = f + 15; n = r + 9; l = s + 2; g = i + 7; r = 1; t = h + 1; p = t + 16; f = p + 9. If r = 1, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 5", "c": "i + 14", "u": "c + 14", "b": "u + 2", "o": "b + 9", "f": "o + 16", "e": "n + 4", "t": "e + 14", "a": "t + 1", "z": "a + 16", "p": "z + 5", "k": "p + 9", "n": 8}, "premises": {"n": 8}, "target": "f"}, "answer": {"steps": [["o", "b + 9", "b + 25"], ["b", "u + 2", "u + 27"], ["u", "c + 14", "c + 41"], ["c", "i + 14", "i + 55"], ["i", "n + 5", "n + 60"], ["n", 8, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"n": 8}, "is_reverse": true}} | 5,808 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = z + 5; a = t + 1; o = b + 9; f = o + 16; u = c + 14; i = n + 5; n = 8; b = u + 2; e = n + 4; c = i + 14; k = p + 9; t = e + 14; z = a + 16. If n = 8, determine the 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 o = b + 9 to f, which gives f = b + 25.\n2. Substitute b = u + 2 to f, which gives f = u + 27.\n3. Substitute u = c + 14 to f, which gives f = c + 41.\n4. Substitute c = i + 14 to f, which gives f = i + 55.\n5. Substitute i = n + 5 to f, which gives f = n + 60.\n6. Substitute n = 8 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 5808,
"question": "Consider a system of variables where each variable is defined as follows: p = z + 5; a = t + 1; o = b + 9; f = o + 16; u = c + 14; i = n + 5; n = 8; b = u + 2; e = n + 4; c = i + 14; k = p + 9; t = e + 14; z = a + 16. If n = 8, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 16", "m": "g + 19", "a": "m + 2", "l": "a + 6", "x": "l + 6", "o": "x + 15", "p": "j + 14", "s": "p + 7", "d": "s + 15", "w": "d + 4", "i": "w + 10", "u": "i + 14", "j": 12}, "premises": {"j": 12}, "target": "o"}, "answer": {"steps": [["x", "l + 6", "l + 21"], ["l", "a + 6", "a + 27"], ["a", "m + 2", "m + 29"], ["m", "g + 19", "g + 48"], ["g", "j + 16", "j + 64"], ["j", 12, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"j": 12}, "is_reverse": true}} | 5,809 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = 12; a = m + 2; m = g + 19; p = j + 14; s = p + 7; d = s + 15; w = d + 4; x = l + 6; g = j + 16; i = w + 10; o = x + 15; l = a + 6; u = i + 14. If j = 12, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 6 to o, which gives o = l + 21.\n2. Substitute l = a + 6 to o, which gives o = a + 27.\n3. Substitute a = m + 2 to o, which gives o = m + 29.\n4. Substitute m = g + 19 to o, which gives o = g + 48.\n5. Substitute g = j + 16 to o, which gives o = j + 64.\n6. Substitute j = 12 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 5809,
"question": "Consider a system of variables where each variable is defined as follows: j = 12; a = m + 2; m = g + 19; p = j + 14; s = p + 7; d = s + 15; w = d + 4; x = l + 6; g = j + 16; i = w + 10; o = x + 15; l = a + 6; u = i + 14. If j = 12, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 19", "l": "u + 9", "a": "l + 10", "i": "a + 5", "b": "i + 16", "z": "b + 7", "h": "t + 9", "x": "h + 14", "m": "x + 8", "c": "m + 16", "q": "c + 9", "o": "q + 8", "t": 17}, "premises": {"t": 17}, "target": "z"}, "answer": {"steps": [["b", "i + 16", "i + 23"], ["i", "a + 5", "a + 28"], ["a", "l + 10", "l + 38"], ["l", "u + 9", "u + 47"], ["u", "t + 19", "t + 66"], ["t", 17, "83"]], "target_var_name": "z", "target_value": 83, "value_dict": {"t": 17}, "is_reverse": true}} | 5,810 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = t + 19; o = q + 8; t = 17; l = u + 9; b = i + 16; i = a + 5; m = x + 8; h = t + 9; a = l + 10; x = h + 14; q = c + 9; z = b + 7; c = m + 16. If t = 17, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 16 to z, which gives z = i + 23.\n2. Substitute i = a + 5 to z, which gives z = a + 28.\n3. Substitute a = l + 10 to z, which gives z = l + 38.\n4. Substitute l = u + 9 to z, which gives z = u + 47.\n5. Substitute u = t + 19 to z, which gives z = t + 66.\n6. Substitute t = 17 to z, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 5810,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = t + 19; o = q + 8; t = 17; l = u + 9; b = i + 16; i = a + 5; m = x + 8; h = t + 9; a = l + 10; x = h + 14; q = c + 9; z = b + 7; c = m + 16. If t = 17, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"q": "f + 11", "r": "q + 16", "v": "r + 14", "z": "v + 11", "h": "z + 16", "n": "h + 2", "a": "f + 13", "w": "a + 16", "u": "w + 9", "d": "u + 20", "s": "d + 9", "t": "s + 9", "f": 5}, "premises": {"f": 5}, "target": "n"}, "answer": {"steps": [["h", "z + 16", "z + 18"], ["z", "v + 11", "v + 29"], ["v", "r + 14", "r + 43"], ["r", "q + 16", "q + 59"], ["q", "f + 11", "f + 70"], ["f", 5, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"f": 5}, "is_reverse": true}} | 5,811 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 16; r = q + 16; s = d + 9; t = s + 9; d = u + 20; q = f + 11; a = f + 13; f = 5; u = w + 9; v = r + 14; w = a + 16; n = h + 2; z = v + 11. If f = 5, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 16 to n, which gives n = z + 18.\n2. Substitute z = v + 11 to n, which gives n = v + 29.\n3. Substitute v = r + 14 to n, which gives n = r + 43.\n4. Substitute r = q + 16 to n, which gives n = q + 59.\n5. Substitute q = f + 11 to n, which gives n = f + 70.\n6. Substitute f = 5 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 5811,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 16; r = q + 16; s = d + 9; t = s + 9; d = u + 20; q = f + 11; a = f + 13; f = 5; u = w + 9; v = r + 14; w = a + 16; n = h + 2; z = v + 11. If f = 5, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"q": "t + 19", "w": "q + 13", "v": "w + 19", "u": "v + 10", "e": "u + 8", "g": "e + 13", "i": "t + 16", "m": "i + 18", "y": "m + 19", "h": "y + 10", "r": "h + 8", "z": "r + 14", "t": 6}, "premises": {"t": 6}, "target": "g"}, "answer": {"steps": [["e", "u + 8", "u + 21"], ["u", "v + 10", "v + 31"], ["v", "w + 19", "w + 50"], ["w", "q + 13", "q + 63"], ["q", "t + 19", "t + 82"], ["t", 6, "88"]], "target_var_name": "g", "target_value": 88, "value_dict": {"t": 6}, "is_reverse": true}} | 5,812 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = i + 18; q = t + 19; i = t + 16; e = u + 8; g = e + 13; h = y + 10; y = m + 19; z = r + 14; v = w + 19; r = h + 8; w = q + 13; u = v + 10; t = 6. If t = 6, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 8 to g, which gives g = u + 21.\n2. Substitute u = v + 10 to g, which gives g = v + 31.\n3. Substitute v = w + 19 to g, which gives g = w + 50.\n4. Substitute w = q + 13 to g, which gives g = q + 63.\n5. Substitute q = t + 19 to g, which gives g = t + 82.\n6. Substitute t = 6 to g, which gives g = 88.\n\nThus, the final answer is g = \\boxed{88}.",
"index": 5812,
"question": "Consider a system of variables where each variable is defined as follows: m = i + 18; q = t + 19; i = t + 16; e = u + 8; g = e + 13; h = y + 10; y = m + 19; z = r + 14; v = w + 19; r = h + 8; w = q + 13; u = v + 10; t = 6. If t = 6, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 18", "s": "b + 4", "g": "s + 16", "a": "g + 16", "y": "a + 7", "o": "y + 5", "e": "d + 20", "l": "e + 11", "m": "l + 8", "q": "m + 11", "v": "q + 4", "i": "v + 11", "d": 19}, "premises": {"d": 19}, "target": "o"}, "answer": {"steps": [["y", "a + 7", "a + 12"], ["a", "g + 16", "g + 28"], ["g", "s + 16", "s + 44"], ["s", "b + 4", "b + 48"], ["b", "d + 18", "d + 66"], ["d", 19, "85"]], "target_var_name": "o", "target_value": 85, "value_dict": {"d": 19}, "is_reverse": true}} | 5,813 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = b + 4; o = y + 5; b = d + 18; l = e + 11; d = 19; v = q + 4; y = a + 7; i = v + 11; e = d + 20; m = l + 8; q = m + 11; g = s + 16; a = g + 16. If d = 19, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 7 to o, which gives o = a + 12.\n2. Substitute a = g + 16 to o, which gives o = g + 28.\n3. Substitute g = s + 16 to o, which gives o = s + 44.\n4. Substitute s = b + 4 to o, which gives o = b + 48.\n5. Substitute b = d + 18 to o, which gives o = d + 66.\n6. Substitute d = 19 to o, which gives o = 85.\n\nThus, the final answer is o = \\boxed{85}.",
"index": 5813,
"question": "Consider a system of variables where each variable is defined as follows: s = b + 4; o = y + 5; b = d + 18; l = e + 11; d = 19; v = q + 4; y = a + 7; i = v + 11; e = d + 20; m = l + 8; q = m + 11; g = s + 16; a = g + 16. If d = 19, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 9", "t": "q + 9", "w": "t + 16", "d": "w + 10", "o": "d + 15", "b": "o + 2", "e": "k + 13", "c": "e + 1", "z": "c + 10", "g": "z + 17", "s": "g + 3", "x": "s + 6", "k": 1}, "premises": {"k": 1}, "target": "b"}, "answer": {"steps": [["o", "d + 15", "d + 17"], ["d", "w + 10", "w + 27"], ["w", "t + 16", "t + 43"], ["t", "q + 9", "q + 52"], ["q", "k + 9", "k + 61"], ["k", 1, "62"]], "target_var_name": "b", "target_value": 62, "value_dict": {"k": 1}, "is_reverse": true}} | 5,814 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = k + 9; s = g + 3; k = 1; d = w + 10; e = k + 13; z = c + 10; w = t + 16; o = d + 15; b = o + 2; t = q + 9; g = z + 17; c = e + 1; x = s + 6. If k = 1, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 15 to b, which gives b = d + 17.\n2. Substitute d = w + 10 to b, which gives b = w + 27.\n3. Substitute w = t + 16 to b, which gives b = t + 43.\n4. Substitute t = q + 9 to b, which gives b = q + 52.\n5. Substitute q = k + 9 to b, which gives b = k + 61.\n6. Substitute k = 1 to b, which gives b = 62.\n\nThus, the final answer is b = \\boxed{62}.",
"index": 5814,
"question": "Consider a system of variables where each variable is defined as follows: q = k + 9; s = g + 3; k = 1; d = w + 10; e = k + 13; z = c + 10; w = t + 16; o = d + 15; b = o + 2; t = q + 9; g = z + 17; c = e + 1; x = s + 6. If k = 1, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"u": "y + 20", "z": "u + 16", "d": "z + 20", "b": "d + 10", "f": "b + 20", "c": "f + 7", "i": "y + 16", "h": "i + 6", "w": "h + 1", "v": "w + 18", "o": "v + 13", "k": "o + 3", "y": 1}, "premises": {"y": 1}, "target": "c"}, "answer": {"steps": [["f", "b + 20", "b + 27"], ["b", "d + 10", "d + 37"], ["d", "z + 20", "z + 57"], ["z", "u + 16", "u + 73"], ["u", "y + 20", "y + 93"], ["y", 1, "94"]], "target_var_name": "c", "target_value": 94, "value_dict": {"y": 1}, "is_reverse": true}} | 5,815 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = y + 20; w = h + 1; c = f + 7; y = 1; i = y + 16; b = d + 10; v = w + 18; o = v + 13; k = o + 3; d = z + 20; h = i + 6; z = u + 16; f = b + 20. If y = 1, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 20 to c, which gives c = b + 27.\n2. Substitute b = d + 10 to c, which gives c = d + 37.\n3. Substitute d = z + 20 to c, which gives c = z + 57.\n4. Substitute z = u + 16 to c, which gives c = u + 73.\n5. Substitute u = y + 20 to c, which gives c = y + 93.\n6. Substitute y = 1 to c, which gives c = 94.\n\nThus, the final answer is c = \\boxed{94}.",
"index": 5815,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = y + 20; w = h + 1; c = f + 7; y = 1; i = y + 16; b = d + 10; v = w + 18; o = v + 13; k = o + 3; d = z + 20; h = i + 6; z = u + 16; f = b + 20. If y = 1, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 8", "s": "i + 15", "y": "s + 15", "x": "y + 11", "c": "x + 5", "w": "c + 7", "h": "q + 14", "f": "h + 9", "l": "f + 15", "t": "l + 8", "n": "t + 16", "k": "n + 12", "q": 5}, "premises": {"q": 5}, "target": "w"}, "answer": {"steps": [["c", "x + 5", "x + 12"], ["x", "y + 11", "y + 23"], ["y", "s + 15", "s + 38"], ["s", "i + 15", "i + 53"], ["i", "q + 8", "q + 61"], ["q", 5, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"q": 5}, "is_reverse": true}} | 5,816 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 11; l = f + 15; w = c + 7; i = q + 8; c = x + 5; y = s + 15; h = q + 14; k = n + 12; q = 5; n = t + 16; t = l + 8; s = i + 15; f = h + 9. If q = 5, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 5 to w, which gives w = x + 12.\n2. Substitute x = y + 11 to w, which gives w = y + 23.\n3. Substitute y = s + 15 to w, which gives w = s + 38.\n4. Substitute s = i + 15 to w, which gives w = i + 53.\n5. Substitute i = q + 8 to w, which gives w = q + 61.\n6. Substitute q = 5 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 5816,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 11; l = f + 15; w = c + 7; i = q + 8; c = x + 5; y = s + 15; h = q + 14; k = n + 12; q = 5; n = t + 16; t = l + 8; s = i + 15; f = h + 9. If q = 5, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 19", "c": "k + 3", "s": "c + 9", "l": "s + 20", "d": "l + 17", "p": "d + 9", "m": "q + 4", "o": "m + 15", "b": "o + 7", "u": "b + 14", "t": "u + 6", "n": "t + 8", "q": 10}, "premises": {"q": 10}, "target": "p"}, "answer": {"steps": [["d", "l + 17", "l + 26"], ["l", "s + 20", "s + 46"], ["s", "c + 9", "c + 55"], ["c", "k + 3", "k + 58"], ["k", "q + 19", "q + 77"], ["q", 10, "87"]], "target_var_name": "p", "target_value": 87, "value_dict": {"q": 10}, "is_reverse": true}} | 5,817 | 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 + 6; p = d + 9; m = q + 4; s = c + 9; l = s + 20; u = b + 14; q = 10; d = l + 17; n = t + 8; c = k + 3; b = o + 7; k = q + 19; o = m + 15. If q = 10, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 17 to p, which gives p = l + 26.\n2. Substitute l = s + 20 to p, which gives p = s + 46.\n3. Substitute s = c + 9 to p, which gives p = c + 55.\n4. Substitute c = k + 3 to p, which gives p = k + 58.\n5. Substitute k = q + 19 to p, which gives p = q + 77.\n6. Substitute q = 10 to p, which gives p = 87.\n\nThus, the final answer is p = \\boxed{87}.",
"index": 5817,
"question": "Consider a system of variables where each variable is defined as follows: t = u + 6; p = d + 9; m = q + 4; s = c + 9; l = s + 20; u = b + 14; q = 10; d = l + 17; n = t + 8; c = k + 3; b = o + 7; k = q + 19; o = m + 15. If q = 10, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 6", "d": "l + 18", "c": "d + 8", "x": "c + 4", "b": "x + 7", "i": "b + 7", "q": "h + 12", "u": "q + 13", "e": "u + 4", "r": "e + 9", "z": "r + 15", "p": "z + 17", "h": 16}, "premises": {"h": 16}, "target": "i"}, "answer": {"steps": [["b", "x + 7", "x + 14"], ["x", "c + 4", "c + 18"], ["c", "d + 8", "d + 26"], ["d", "l + 18", "l + 44"], ["l", "h + 6", "h + 50"], ["h", 16, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"h": 16}, "is_reverse": true}} | 5,818 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = h + 12; p = z + 17; r = e + 9; b = x + 7; c = d + 8; i = b + 7; l = h + 6; u = q + 13; e = u + 4; h = 16; z = r + 15; x = c + 4; d = l + 18. Given that h = 16, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 7 to i, which gives i = x + 14.\n2. Substitute x = c + 4 to i, which gives i = c + 18.\n3. Substitute c = d + 8 to i, which gives i = d + 26.\n4. Substitute d = l + 18 to i, which gives i = l + 44.\n5. Substitute l = h + 6 to i, which gives i = h + 50.\n6. Substitute h = 16 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 5818,
"question": "Suppose a collection of variables is related by the following definitions: q = h + 12; p = z + 17; r = e + 9; b = x + 7; c = d + 8; i = b + 7; l = h + 6; u = q + 13; e = u + 4; h = 16; z = r + 15; x = c + 4; d = l + 18. Given that h = 16, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 20", "a": "b + 3", "h": "a + 8", "j": "h + 18", "k": "j + 13", "q": "k + 9", "y": "n + 16", "r": "y + 1", "o": "r + 18", "c": "o + 7", "g": "c + 9", "i": "g + 4", "n": 18}, "premises": {"n": 18}, "target": "q"}, "answer": {"steps": [["k", "j + 13", "j + 22"], ["j", "h + 18", "h + 40"], ["h", "a + 8", "a + 48"], ["a", "b + 3", "b + 51"], ["b", "n + 20", "n + 71"], ["n", 18, "89"]], "target_var_name": "q", "target_value": 89, "value_dict": {"n": 18}, "is_reverse": true}} | 5,819 | 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 = c + 9; a = b + 3; c = o + 7; r = y + 1; j = h + 18; q = k + 9; o = r + 18; k = j + 13; h = a + 8; n = 18; i = g + 4; b = n + 20; y = n + 16. If n = 18, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 13 to q, which gives q = j + 22.\n2. Substitute j = h + 18 to q, which gives q = h + 40.\n3. Substitute h = a + 8 to q, which gives q = a + 48.\n4. Substitute a = b + 3 to q, which gives q = b + 51.\n5. Substitute b = n + 20 to q, which gives q = n + 71.\n6. Substitute n = 18 to q, which gives q = 89.\n\nThus, the final answer is q = \\boxed{89}.",
"index": 5819,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = c + 9; a = b + 3; c = o + 7; r = y + 1; j = h + 18; q = k + 9; o = r + 18; k = j + 13; h = a + 8; n = 18; i = g + 4; b = n + 20; y = n + 16. If n = 18, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"z": "j + 8", "c": "z + 2", "e": "c + 10", "v": "e + 17", "w": "v + 18", "p": "w + 6", "s": "j + 10", "u": "s + 18", "q": "u + 10", "o": "q + 2", "i": "o + 7", "t": "i + 15", "j": 8}, "premises": {"j": 8}, "target": "p"}, "answer": {"steps": [["w", "v + 18", "v + 24"], ["v", "e + 17", "e + 41"], ["e", "c + 10", "c + 51"], ["c", "z + 2", "z + 53"], ["z", "j + 8", "j + 61"], ["j", 8, "69"]], "target_var_name": "p", "target_value": 69, "value_dict": {"j": 8}, "is_reverse": true}} | 5,820 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = j + 8; j = 8; i = o + 7; e = c + 10; q = u + 10; s = j + 10; c = z + 2; w = v + 18; p = w + 6; o = q + 2; t = i + 15; v = e + 17; u = s + 18. If j = 8, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 18 to p, which gives p = v + 24.\n2. Substitute v = e + 17 to p, which gives p = e + 41.\n3. Substitute e = c + 10 to p, which gives p = c + 51.\n4. Substitute c = z + 2 to p, which gives p = z + 53.\n5. Substitute z = j + 8 to p, which gives p = j + 61.\n6. Substitute j = 8 to p, which gives p = 69.\n\nThus, the final answer is p = \\boxed{69}.",
"index": 5820,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = j + 8; j = 8; i = o + 7; e = c + 10; q = u + 10; s = j + 10; c = z + 2; w = v + 18; p = w + 6; o = q + 2; t = i + 15; v = e + 17; u = s + 18. If j = 8, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 19", "m": "v + 5", "j": "m + 8", "n": "j + 12", "g": "n + 13", "t": "g + 4", "o": "c + 15", "q": "o + 2", "u": "q + 8", "d": "u + 14", "p": "d + 18", "y": "p + 10", "c": 6}, "premises": {"c": 6}, "target": "t"}, "answer": {"steps": [["g", "n + 13", "n + 17"], ["n", "j + 12", "j + 29"], ["j", "m + 8", "m + 37"], ["m", "v + 5", "v + 42"], ["v", "c + 19", "c + 61"], ["c", 6, "67"]], "target_var_name": "t", "target_value": 67, "value_dict": {"c": 6}, "is_reverse": true}} | 5,821 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = j + 12; g = n + 13; u = q + 8; t = g + 4; p = d + 18; c = 6; v = c + 19; o = c + 15; m = v + 5; d = u + 14; q = o + 2; j = m + 8; y = p + 10. If c = 6, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 13 to t, which gives t = n + 17.\n2. Substitute n = j + 12 to t, which gives t = j + 29.\n3. Substitute j = m + 8 to t, which gives t = m + 37.\n4. Substitute m = v + 5 to t, which gives t = v + 42.\n5. Substitute v = c + 19 to t, which gives t = c + 61.\n6. Substitute c = 6 to t, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 5821,
"question": "Consider a system of variables where each variable is defined as follows: n = j + 12; g = n + 13; u = q + 8; t = g + 4; p = d + 18; c = 6; v = c + 19; o = c + 15; m = v + 5; d = u + 14; q = o + 2; j = m + 8; y = p + 10. If c = 6, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 7", "e": "n + 15", "w": "e + 16", "i": "w + 12", "k": "i + 7", "j": "k + 18", "h": "l + 2", "c": "h + 13", "p": "c + 18", "d": "p + 10", "f": "d + 18", "x": "f + 20", "l": 1}, "premises": {"l": 1}, "target": "j"}, "answer": {"steps": [["k", "i + 7", "i + 25"], ["i", "w + 12", "w + 37"], ["w", "e + 16", "e + 53"], ["e", "n + 15", "n + 68"], ["n", "l + 7", "l + 75"], ["l", 1, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"l": 1}, "is_reverse": true}} | 5,822 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = i + 7; i = w + 12; e = n + 15; n = l + 7; j = k + 18; w = e + 16; p = c + 18; d = p + 10; h = l + 2; x = f + 20; f = d + 18; c = h + 13; l = 1. Given that l = 1, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 7 to j, which gives j = i + 25.\n2. Substitute i = w + 12 to j, which gives j = w + 37.\n3. Substitute w = e + 16 to j, which gives j = e + 53.\n4. Substitute e = n + 15 to j, which gives j = n + 68.\n5. Substitute n = l + 7 to j, which gives j = l + 75.\n6. Substitute l = 1 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 5822,
"question": "Suppose a collection of variables is related by the following definitions: k = i + 7; i = w + 12; e = n + 15; n = l + 7; j = k + 18; w = e + 16; p = c + 18; d = p + 10; h = l + 2; x = f + 20; f = d + 18; c = h + 13; l = 1. Given that l = 1, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 18", "o": "d + 12", "r": "o + 16", "f": "r + 5", "z": "f + 7", "s": "z + 17", "v": "i + 20", "p": "v + 1", "x": "p + 15", "t": "x + 10", "l": "t + 2", "e": "l + 5", "i": 20}, "premises": {"i": 20}, "target": "s"}, "answer": {"steps": [["z", "f + 7", "f + 24"], ["f", "r + 5", "r + 29"], ["r", "o + 16", "o + 45"], ["o", "d + 12", "d + 57"], ["d", "i + 18", "i + 75"], ["i", 20, "95"]], "target_var_name": "s", "target_value": 95, "value_dict": {"i": 20}, "is_reverse": true}} | 5,823 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = d + 12; t = x + 10; v = i + 20; r = o + 16; s = z + 17; d = i + 18; z = f + 7; p = v + 1; l = t + 2; x = p + 15; f = r + 5; e = l + 5; i = 20. If i = 20, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 7 to s, which gives s = f + 24.\n2. Substitute f = r + 5 to s, which gives s = r + 29.\n3. Substitute r = o + 16 to s, which gives s = o + 45.\n4. Substitute o = d + 12 to s, which gives s = d + 57.\n5. Substitute d = i + 18 to s, which gives s = i + 75.\n6. Substitute i = 20 to s, which gives s = 95.\n\nThus, the final answer is s = \\boxed{95}.",
"index": 5823,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = d + 12; t = x + 10; v = i + 20; r = o + 16; s = z + 17; d = i + 18; z = f + 7; p = v + 1; l = t + 2; x = p + 15; f = r + 5; e = l + 5; i = 20. If i = 20, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 18", "l": "v + 12", "p": "l + 2", "k": "p + 3", "o": "k + 4", "a": "o + 12", "z": "n + 5", "x": "z + 20", "u": "x + 17", "j": "u + 7", "t": "j + 12", "i": "t + 3", "n": 9}, "premises": {"n": 9}, "target": "a"}, "answer": {"steps": [["o", "k + 4", "k + 16"], ["k", "p + 3", "p + 19"], ["p", "l + 2", "l + 21"], ["l", "v + 12", "v + 33"], ["v", "n + 18", "n + 51"], ["n", 9, "60"]], "target_var_name": "a", "target_value": 60, "value_dict": {"n": 9}, "is_reverse": true}} | 5,824 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = v + 12; i = t + 3; a = o + 12; j = u + 7; p = l + 2; o = k + 4; x = z + 20; k = p + 3; z = n + 5; t = j + 12; u = x + 17; v = n + 18; n = 9. If n = 9, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 4 to a, which gives a = k + 16.\n2. Substitute k = p + 3 to a, which gives a = p + 19.\n3. Substitute p = l + 2 to a, which gives a = l + 21.\n4. Substitute l = v + 12 to a, which gives a = v + 33.\n5. Substitute v = n + 18 to a, which gives a = n + 51.\n6. Substitute n = 9 to a, which gives a = 60.\n\nThus, the final answer is a = \\boxed{60}.",
"index": 5824,
"question": "Consider a system of variables where each variable is defined as follows: l = v + 12; i = t + 3; a = o + 12; j = u + 7; p = l + 2; o = k + 4; x = z + 20; k = p + 3; z = n + 5; t = j + 12; u = x + 17; v = n + 18; n = 9. If n = 9, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 7", "x": "i + 14", "j": "x + 17", "d": "j + 10", "k": "d + 10", "f": "k + 14", "n": "g + 2", "t": "n + 6", "v": "t + 1", "q": "v + 15", "y": "q + 5", "l": "y + 9", "g": 2}, "premises": {"g": 2}, "target": "f"}, "answer": {"steps": [["k", "d + 10", "d + 24"], ["d", "j + 10", "j + 34"], ["j", "x + 17", "x + 51"], ["x", "i + 14", "i + 65"], ["i", "g + 7", "g + 72"], ["g", 2, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"g": 2}, "is_reverse": true}} | 5,825 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = g + 7; j = x + 17; n = g + 2; g = 2; y = q + 5; v = t + 1; q = v + 15; t = n + 6; l = y + 9; x = i + 14; k = d + 10; d = j + 10; f = k + 14. If g = 2, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 10 to f, which gives f = d + 24.\n2. Substitute d = j + 10 to f, which gives f = j + 34.\n3. Substitute j = x + 17 to f, which gives f = x + 51.\n4. Substitute x = i + 14 to f, which gives f = i + 65.\n5. Substitute i = g + 7 to f, which gives f = g + 72.\n6. Substitute g = 2 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 5825,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 7; j = x + 17; n = g + 2; g = 2; y = q + 5; v = t + 1; q = v + 15; t = n + 6; l = y + 9; x = i + 14; k = d + 10; d = j + 10; f = k + 14. If g = 2, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 14", "f": "p + 20", "x": "f + 4", "q": "x + 11", "g": "q + 10", "z": "g + 4", "e": "c + 11", "a": "e + 10", "v": "a + 17", "k": "v + 14", "n": "k + 4", "i": "n + 16", "c": 13}, "premises": {"c": 13}, "target": "z"}, "answer": {"steps": [["g", "q + 10", "q + 14"], ["q", "x + 11", "x + 25"], ["x", "f + 4", "f + 29"], ["f", "p + 20", "p + 49"], ["p", "c + 14", "c + 63"], ["c", 13, "76"]], "target_var_name": "z", "target_value": 76, "value_dict": {"c": 13}, "is_reverse": true}} | 5,826 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = p + 20; p = c + 14; n = k + 4; z = g + 4; x = f + 4; a = e + 10; c = 13; k = v + 14; e = c + 11; i = n + 16; q = x + 11; g = q + 10; v = a + 17. If c = 13, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 10 to z, which gives z = q + 14.\n2. Substitute q = x + 11 to z, which gives z = x + 25.\n3. Substitute x = f + 4 to z, which gives z = f + 29.\n4. Substitute f = p + 20 to z, which gives z = p + 49.\n5. Substitute p = c + 14 to z, which gives z = c + 63.\n6. Substitute c = 13 to z, which gives z = 76.\n\nThus, the final answer is z = \\boxed{76}.",
"index": 5826,
"question": "Consider a system of variables where each variable is defined as follows: f = p + 20; p = c + 14; n = k + 4; z = g + 4; x = f + 4; a = e + 10; c = 13; k = v + 14; e = c + 11; i = n + 16; q = x + 11; g = q + 10; v = a + 17. If c = 13, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"x": "s + 13", "u": "x + 19", "m": "u + 12", "o": "m + 9", "a": "o + 17", "i": "a + 11", "l": "s + 4", "f": "l + 6", "r": "f + 20", "h": "r + 2", "q": "h + 14", "t": "q + 2", "s": 17}, "premises": {"s": 17}, "target": "i"}, "answer": {"steps": [["a", "o + 17", "o + 28"], ["o", "m + 9", "m + 37"], ["m", "u + 12", "u + 49"], ["u", "x + 19", "x + 68"], ["x", "s + 13", "s + 81"], ["s", 17, "98"]], "target_var_name": "i", "target_value": 98, "value_dict": {"s": 17}, "is_reverse": true}} | 5,827 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = f + 20; i = a + 11; q = h + 14; h = r + 2; o = m + 9; x = s + 13; s = 17; f = l + 6; l = s + 4; m = u + 12; u = x + 19; a = o + 17; t = q + 2. If s = 17, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 17 to i, which gives i = o + 28.\n2. Substitute o = m + 9 to i, which gives i = m + 37.\n3. Substitute m = u + 12 to i, which gives i = u + 49.\n4. Substitute u = x + 19 to i, which gives i = x + 68.\n5. Substitute x = s + 13 to i, which gives i = s + 81.\n6. Substitute s = 17 to i, which gives i = 98.\n\nThus, the final answer is i = \\boxed{98}.",
"index": 5827,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = f + 20; i = a + 11; q = h + 14; h = r + 2; o = m + 9; x = s + 13; s = 17; f = l + 6; l = s + 4; m = u + 12; u = x + 19; a = o + 17; t = q + 2. If s = 17, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"u": "g + 14", "f": "u + 20", "c": "f + 6", "z": "c + 17", "d": "z + 9", "t": "d + 19", "e": "g + 14", "p": "e + 7", "x": "p + 3", "m": "x + 14", "o": "m + 13", "r": "o + 16", "g": 6}, "premises": {"g": 6}, "target": "t"}, "answer": {"steps": [["d", "z + 9", "z + 28"], ["z", "c + 17", "c + 45"], ["c", "f + 6", "f + 51"], ["f", "u + 20", "u + 71"], ["u", "g + 14", "g + 85"], ["g", 6, "91"]], "target_var_name": "t", "target_value": 91, "value_dict": {"g": 6}, "is_reverse": true}} | 5,828 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = z + 9; t = d + 19; x = p + 3; c = f + 6; g = 6; p = e + 7; f = u + 20; e = g + 14; m = x + 14; o = m + 13; u = g + 14; z = c + 17; r = o + 16. If g = 6, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 9 to t, which gives t = z + 28.\n2. Substitute z = c + 17 to t, which gives t = c + 45.\n3. Substitute c = f + 6 to t, which gives t = f + 51.\n4. Substitute f = u + 20 to t, which gives t = u + 71.\n5. Substitute u = g + 14 to t, which gives t = g + 85.\n6. Substitute g = 6 to t, which gives t = 91.\n\nThus, the final answer is t = \\boxed{91}.",
"index": 5828,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = z + 9; t = d + 19; x = p + 3; c = f + 6; g = 6; p = e + 7; f = u + 20; e = g + 14; m = x + 14; o = m + 13; u = g + 14; z = c + 17; r = o + 16. If g = 6, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 6", "j": "p + 7", "a": "j + 12", "f": "a + 4", "t": "f + 13", "g": "t + 4", "l": "k + 20", "s": "l + 8", "o": "s + 18", "i": "o + 8", "n": "i + 14", "q": "n + 13", "k": 13}, "premises": {"k": 13}, "target": "g"}, "answer": {"steps": [["t", "f + 13", "f + 17"], ["f", "a + 4", "a + 21"], ["a", "j + 12", "j + 33"], ["j", "p + 7", "p + 40"], ["p", "k + 6", "k + 46"], ["k", 13, "59"]], "target_var_name": "g", "target_value": 59, "value_dict": {"k": 13}, "is_reverse": true}} | 5,829 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = s + 18; s = l + 8; j = p + 7; f = a + 4; p = k + 6; k = 13; g = t + 4; a = j + 12; q = n + 13; t = f + 13; i = o + 8; l = k + 20; n = i + 14. Given that k = 13, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = f + 13 to g, which gives g = f + 17.\n2. Substitute f = a + 4 to g, which gives g = a + 21.\n3. Substitute a = j + 12 to g, which gives g = j + 33.\n4. Substitute j = p + 7 to g, which gives g = p + 40.\n5. Substitute p = k + 6 to g, which gives g = k + 46.\n6. Substitute k = 13 to g, which gives g = 59.\n\nThus, the final answer is g = \\boxed{59}.",
"index": 5829,
"question": "Suppose a collection of variables is related by the following definitions: o = s + 18; s = l + 8; j = p + 7; f = a + 4; p = k + 6; k = 13; g = t + 4; a = j + 12; q = n + 13; t = f + 13; i = o + 8; l = k + 20; n = i + 14. Given that k = 13, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 17", "w": "h + 9", "a": "w + 9", "r": "a + 9", "l": "r + 19", "y": "l + 14", "g": "v + 18", "t": "g + 1", "q": "t + 6", "u": "q + 1", "n": "u + 20", "d": "n + 2", "v": 10}, "premises": {"v": 10}, "target": "y"}, "answer": {"steps": [["l", "r + 19", "r + 33"], ["r", "a + 9", "a + 42"], ["a", "w + 9", "w + 51"], ["w", "h + 9", "h + 60"], ["h", "v + 17", "v + 77"], ["v", 10, "87"]], "target_var_name": "y", "target_value": 87, "value_dict": {"v": 10}, "is_reverse": true}} | 5,830 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = t + 6; d = n + 2; a = w + 9; v = 10; h = v + 17; g = v + 18; r = a + 9; l = r + 19; t = g + 1; n = u + 20; w = h + 9; y = l + 14; u = q + 1. If v = 10, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 19 to y, which gives y = r + 33.\n2. Substitute r = a + 9 to y, which gives y = a + 42.\n3. Substitute a = w + 9 to y, which gives y = w + 51.\n4. Substitute w = h + 9 to y, which gives y = h + 60.\n5. Substitute h = v + 17 to y, which gives y = v + 77.\n6. Substitute v = 10 to y, which gives y = 87.\n\nThus, the final answer is y = \\boxed{87}.",
"index": 5830,
"question": "Consider a system of variables where each variable is defined as follows: q = t + 6; d = n + 2; a = w + 9; v = 10; h = v + 17; g = v + 18; r = a + 9; l = r + 19; t = g + 1; n = u + 20; w = h + 9; y = l + 14; u = q + 1. If v = 10, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 14", "n": "v + 18", "z": "n + 3", "k": "z + 8", "f": "k + 13", "d": "f + 16", "r": "j + 14", "c": "r + 8", "p": "c + 1", "w": "p + 12", "e": "w + 15", "y": "e + 20", "j": 5}, "premises": {"j": 5}, "target": "d"}, "answer": {"steps": [["f", "k + 13", "k + 29"], ["k", "z + 8", "z + 37"], ["z", "n + 3", "n + 40"], ["n", "v + 18", "v + 58"], ["v", "j + 14", "j + 72"], ["j", 5, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"j": 5}, "is_reverse": true}} | 5,831 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = n + 3; f = k + 13; e = w + 15; d = f + 16; w = p + 12; r = j + 14; n = v + 18; p = c + 1; k = z + 8; j = 5; y = e + 20; c = r + 8; v = j + 14. Given that j = 5, find the 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 f = k + 13 to d, which gives d = k + 29.\n2. Substitute k = z + 8 to d, which gives d = z + 37.\n3. Substitute z = n + 3 to d, which gives d = n + 40.\n4. Substitute n = v + 18 to d, which gives d = v + 58.\n5. Substitute v = j + 14 to d, which gives d = j + 72.\n6. Substitute j = 5 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 5831,
"question": "Suppose a collection of variables is related by the following definitions: z = n + 3; f = k + 13; e = w + 15; d = f + 16; w = p + 12; r = j + 14; n = v + 18; p = c + 1; k = z + 8; j = 5; y = e + 20; c = r + 8; v = j + 14. Given that j = 5, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"i": "u + 1", "l": "i + 2", "x": "l + 11", "z": "x + 10", "g": "z + 9", "b": "g + 2", "m": "u + 17", "h": "m + 4", "k": "h + 16", "t": "k + 5", "r": "t + 18", "q": "r + 18", "u": 1}, "premises": {"u": 1}, "target": "b"}, "answer": {"steps": [["g", "z + 9", "z + 11"], ["z", "x + 10", "x + 21"], ["x", "l + 11", "l + 32"], ["l", "i + 2", "i + 34"], ["i", "u + 1", "u + 35"], ["u", 1, "36"]], "target_var_name": "b", "target_value": 36, "value_dict": {"u": 1}, "is_reverse": true}} | 5,832 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = u + 1; k = h + 16; b = g + 2; l = i + 2; m = u + 17; h = m + 4; q = r + 18; z = x + 10; t = k + 5; g = z + 9; r = t + 18; x = l + 11; u = 1. If u = 1, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 36,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 9 to b, which gives b = z + 11.\n2. Substitute z = x + 10 to b, which gives b = x + 21.\n3. Substitute x = l + 11 to b, which gives b = l + 32.\n4. Substitute l = i + 2 to b, which gives b = i + 34.\n5. Substitute i = u + 1 to b, which gives b = u + 35.\n6. Substitute u = 1 to b, which gives b = 36.\n\nThus, the final answer is b = \\boxed{36}.",
"index": 5832,
"question": "Consider a system of variables where each variable is defined as follows: i = u + 1; k = h + 16; b = g + 2; l = i + 2; m = u + 17; h = m + 4; q = r + 18; z = x + 10; t = k + 5; g = z + 9; r = t + 18; x = l + 11; u = 1. If u = 1, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"j": "s + 19", "c": "j + 13", "v": "c + 14", "q": "v + 11", "y": "q + 9", "k": "y + 19", "f": "s + 17", "w": "f + 18", "d": "w + 2", "u": "d + 12", "n": "u + 8", "r": "n + 7", "s": 10}, "premises": {"s": 10}, "target": "k"}, "answer": {"steps": [["y", "q + 9", "q + 28"], ["q", "v + 11", "v + 39"], ["v", "c + 14", "c + 53"], ["c", "j + 13", "j + 66"], ["j", "s + 19", "s + 85"], ["s", 10, "95"]], "target_var_name": "k", "target_value": 95, "value_dict": {"s": 10}, "is_reverse": true}} | 5,833 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = d + 12; n = u + 8; q = v + 11; y = q + 9; s = 10; k = y + 19; j = s + 19; w = f + 18; r = n + 7; v = c + 14; d = w + 2; c = j + 13; f = s + 17. Given that s = 10, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 9 to k, which gives k = q + 28.\n2. Substitute q = v + 11 to k, which gives k = v + 39.\n3. Substitute v = c + 14 to k, which gives k = c + 53.\n4. Substitute c = j + 13 to k, which gives k = j + 66.\n5. Substitute j = s + 19 to k, which gives k = s + 85.\n6. Substitute s = 10 to k, which gives k = 95.\n\nThus, the final answer is k = \\boxed{95}.",
"index": 5833,
"question": "Suppose a collection of variables is related by the following definitions: u = d + 12; n = u + 8; q = v + 11; y = q + 9; s = 10; k = y + 19; j = s + 19; w = f + 18; r = n + 7; v = c + 14; d = w + 2; c = j + 13; f = s + 17. Given that s = 10, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"v": "y + 13", "w": "v + 11", "m": "w + 10", "e": "m + 5", "i": "e + 17", "o": "i + 16", "f": "y + 18", "p": "f + 9", "r": "p + 15", "h": "r + 20", "u": "h + 13", "c": "u + 1", "y": 15}, "premises": {"y": 15}, "target": "o"}, "answer": {"steps": [["i", "e + 17", "e + 33"], ["e", "m + 5", "m + 38"], ["m", "w + 10", "w + 48"], ["w", "v + 11", "v + 59"], ["v", "y + 13", "y + 72"], ["y", 15, "87"]], "target_var_name": "o", "target_value": 87, "value_dict": {"y": 15}, "is_reverse": true}} | 5,834 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = w + 10; i = e + 17; r = p + 15; f = y + 18; w = v + 11; c = u + 1; y = 15; e = m + 5; p = f + 9; o = i + 16; v = y + 13; h = r + 20; u = h + 13. If y = 15, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 17 to o, which gives o = e + 33.\n2. Substitute e = m + 5 to o, which gives o = m + 38.\n3. Substitute m = w + 10 to o, which gives o = w + 48.\n4. Substitute w = v + 11 to o, which gives o = v + 59.\n5. Substitute v = y + 13 to o, which gives o = y + 72.\n6. Substitute y = 15 to o, which gives o = 87.\n\nThus, the final answer is o = \\boxed{87}.",
"index": 5834,
"question": "Consider a system of variables where each variable is defined as follows: m = w + 10; i = e + 17; r = p + 15; f = y + 18; w = v + 11; c = u + 1; y = 15; e = m + 5; p = f + 9; o = i + 16; v = y + 13; h = r + 20; u = h + 13. If y = 15, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 11", "p": "a + 15", "e": "p + 19", "t": "e + 1", "s": "t + 8", "r": "s + 3", "o": "n + 20", "z": "o + 1", "c": "z + 7", "w": "c + 7", "l": "w + 9", "y": "l + 9", "n": 13}, "premises": {"n": 13}, "target": "r"}, "answer": {"steps": [["s", "t + 8", "t + 11"], ["t", "e + 1", "e + 12"], ["e", "p + 19", "p + 31"], ["p", "a + 15", "a + 46"], ["a", "n + 11", "n + 57"], ["n", 13, "70"]], "target_var_name": "r", "target_value": 70, "value_dict": {"n": 13}, "is_reverse": true}} | 5,835 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 19; p = a + 15; t = e + 1; r = s + 3; w = c + 7; o = n + 20; c = z + 7; n = 13; l = w + 9; y = l + 9; a = n + 11; s = t + 8; z = o + 1. If n = 13, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 8 to r, which gives r = t + 11.\n2. Substitute t = e + 1 to r, which gives r = e + 12.\n3. Substitute e = p + 19 to r, which gives r = p + 31.\n4. Substitute p = a + 15 to r, which gives r = a + 46.\n5. Substitute a = n + 11 to r, which gives r = n + 57.\n6. Substitute n = 13 to r, which gives r = 70.\n\nThus, the final answer is r = \\boxed{70}.",
"index": 5835,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 19; p = a + 15; t = e + 1; r = s + 3; w = c + 7; o = n + 20; c = z + 7; n = 13; l = w + 9; y = l + 9; a = n + 11; s = t + 8; z = o + 1. If n = 13, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 5", "a": "l + 2", "f": "a + 3", "w": "f + 9", "b": "w + 15", "c": "b + 16", "i": "p + 18", "t": "i + 8", "z": "t + 16", "m": "z + 13", "g": "m + 18", "n": "g + 20", "p": 17}, "premises": {"p": 17}, "target": "c"}, "answer": {"steps": [["b", "w + 15", "w + 31"], ["w", "f + 9", "f + 40"], ["f", "a + 3", "a + 43"], ["a", "l + 2", "l + 45"], ["l", "p + 5", "p + 50"], ["p", 17, "67"]], "target_var_name": "c", "target_value": 67, "value_dict": {"p": 17}, "is_reverse": true}} | 5,836 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = w + 15; w = f + 9; n = g + 20; f = a + 3; l = p + 5; g = m + 18; c = b + 16; t = i + 8; z = t + 16; m = z + 13; p = 17; a = l + 2; i = p + 18. Given that p = 17, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 15 to c, which gives c = w + 31.\n2. Substitute w = f + 9 to c, which gives c = f + 40.\n3. Substitute f = a + 3 to c, which gives c = a + 43.\n4. Substitute a = l + 2 to c, which gives c = l + 45.\n5. Substitute l = p + 5 to c, which gives c = p + 50.\n6. Substitute p = 17 to c, which gives c = 67.\n\nThus, the final answer is c = \\boxed{67}.",
"index": 5836,
"question": "Suppose a collection of variables is related by the following definitions: b = w + 15; w = f + 9; n = g + 20; f = a + 3; l = p + 5; g = m + 18; c = b + 16; t = i + 8; z = t + 16; m = z + 13; p = 17; a = l + 2; i = p + 18. Given that p = 17, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 4", "o": "s + 12", "n": "o + 13", "i": "n + 2", "u": "i + 14", "p": "u + 7", "f": "y + 18", "b": "f + 10", "g": "b + 1", "h": "g + 17", "r": "h + 19", "x": "r + 19", "y": 4}, "premises": {"y": 4}, "target": "p"}, "answer": {"steps": [["u", "i + 14", "i + 21"], ["i", "n + 2", "n + 23"], ["n", "o + 13", "o + 36"], ["o", "s + 12", "s + 48"], ["s", "y + 4", "y + 52"], ["y", 4, "56"]], "target_var_name": "p", "target_value": 56, "value_dict": {"y": 4}, "is_reverse": true}} | 5,837 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 10; f = y + 18; h = g + 17; g = b + 1; p = u + 7; x = r + 19; i = n + 2; s = y + 4; u = i + 14; o = s + 12; y = 4; n = o + 13; r = h + 19. Given that y = 4, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 14 to p, which gives p = i + 21.\n2. Substitute i = n + 2 to p, which gives p = n + 23.\n3. Substitute n = o + 13 to p, which gives p = o + 36.\n4. Substitute o = s + 12 to p, which gives p = s + 48.\n5. Substitute s = y + 4 to p, which gives p = y + 52.\n6. Substitute y = 4 to p, which gives p = 56.\n\nThus, the final answer is p = \\boxed{56}.",
"index": 5837,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 10; f = y + 18; h = g + 17; g = b + 1; p = u + 7; x = r + 19; i = n + 2; s = y + 4; u = i + 14; o = s + 12; y = 4; n = o + 13; r = h + 19. Given that y = 4, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 6", "p": "c + 11", "e": "p + 6", "q": "e + 9", "w": "q + 1", "k": "w + 15", "r": "m + 17", "n": "r + 9", "l": "n + 18", "h": "l + 15", "x": "h + 20", "y": "x + 10", "m": 5}, "premises": {"m": 5}, "target": "k"}, "answer": {"steps": [["w", "q + 1", "q + 16"], ["q", "e + 9", "e + 25"], ["e", "p + 6", "p + 31"], ["p", "c + 11", "c + 42"], ["c", "m + 6", "m + 48"], ["m", 5, "53"]], "target_var_name": "k", "target_value": 53, "value_dict": {"m": 5}, "is_reverse": true}} | 5,838 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = p + 6; k = w + 15; l = n + 18; p = c + 11; m = 5; q = e + 9; h = l + 15; n = r + 9; r = m + 17; y = x + 10; x = h + 20; c = m + 6; w = q + 1. If m = 5, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 1 to k, which gives k = q + 16.\n2. Substitute q = e + 9 to k, which gives k = e + 25.\n3. Substitute e = p + 6 to k, which gives k = p + 31.\n4. Substitute p = c + 11 to k, which gives k = c + 42.\n5. Substitute c = m + 6 to k, which gives k = m + 48.\n6. Substitute m = 5 to k, which gives k = 53.\n\nThus, the final answer is k = \\boxed{53}.",
"index": 5838,
"question": "Consider a system of variables where each variable is defined as follows: e = p + 6; k = w + 15; l = n + 18; p = c + 11; m = 5; q = e + 9; h = l + 15; n = r + 9; r = m + 17; y = x + 10; x = h + 20; c = m + 6; w = q + 1. If m = 5, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 13", "t": "q + 17", "z": "t + 9", "l": "z + 3", "k": "l + 15", "i": "k + 19", "b": "u + 20", "c": "b + 16", "d": "c + 12", "g": "d + 18", "v": "g + 20", "r": "v + 8", "u": 3}, "premises": {"u": 3}, "target": "i"}, "answer": {"steps": [["k", "l + 15", "l + 34"], ["l", "z + 3", "z + 37"], ["z", "t + 9", "t + 46"], ["t", "q + 17", "q + 63"], ["q", "u + 13", "u + 76"], ["u", 3, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"u": 3}, "is_reverse": true}} | 5,839 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = t + 9; k = l + 15; r = v + 8; b = u + 20; v = g + 20; g = d + 18; t = q + 17; d = c + 12; u = 3; c = b + 16; i = k + 19; q = u + 13; l = z + 3. Given that u = 3, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 15 to i, which gives i = l + 34.\n2. Substitute l = z + 3 to i, which gives i = z + 37.\n3. Substitute z = t + 9 to i, which gives i = t + 46.\n4. Substitute t = q + 17 to i, which gives i = q + 63.\n5. Substitute q = u + 13 to i, which gives i = u + 76.\n6. Substitute u = 3 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 5839,
"question": "Suppose a collection of variables is related by the following definitions: z = t + 9; k = l + 15; r = v + 8; b = u + 20; v = g + 20; g = d + 18; t = q + 17; d = c + 12; u = 3; c = b + 16; i = k + 19; q = u + 13; l = z + 3. Given that u = 3, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 18", "u": "d + 13", "m": "u + 19", "i": "m + 3", "r": "i + 14", "f": "r + 8", "z": "p + 19", "g": "z + 2", "o": "g + 4", "w": "o + 7", "q": "w + 14", "t": "q + 1", "p": 17}, "premises": {"p": 17}, "target": "f"}, "answer": {"steps": [["r", "i + 14", "i + 22"], ["i", "m + 3", "m + 25"], ["m", "u + 19", "u + 44"], ["u", "d + 13", "d + 57"], ["d", "p + 18", "p + 75"], ["p", 17, "92"]], "target_var_name": "f", "target_value": 92, "value_dict": {"p": 17}, "is_reverse": true}} | 5,840 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 2; p = 17; f = r + 8; i = m + 3; q = w + 14; w = o + 7; u = d + 13; t = q + 1; r = i + 14; m = u + 19; d = p + 18; o = g + 4; z = p + 19. Given that p = 17, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 14 to f, which gives f = i + 22.\n2. Substitute i = m + 3 to f, which gives f = m + 25.\n3. Substitute m = u + 19 to f, which gives f = u + 44.\n4. Substitute u = d + 13 to f, which gives f = d + 57.\n5. Substitute d = p + 18 to f, which gives f = p + 75.\n6. Substitute p = 17 to f, which gives f = 92.\n\nThus, the final answer is f = \\boxed{92}.",
"index": 5840,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 2; p = 17; f = r + 8; i = m + 3; q = w + 14; w = o + 7; u = d + 13; t = q + 1; r = i + 14; m = u + 19; d = p + 18; o = g + 4; z = p + 19. Given that p = 17, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 3", "n": "l + 12", "d": "n + 5", "v": "d + 10", "i": "v + 13", "e": "i + 19", "t": "k + 8", "j": "t + 14", "p": "j + 11", "m": "p + 6", "q": "m + 9", "x": "q + 4", "k": 17}, "premises": {"k": 17}, "target": "e"}, "answer": {"steps": [["i", "v + 13", "v + 32"], ["v", "d + 10", "d + 42"], ["d", "n + 5", "n + 47"], ["n", "l + 12", "l + 59"], ["l", "k + 3", "k + 62"], ["k", 17, "79"]], "target_var_name": "e", "target_value": 79, "value_dict": {"k": 17}, "is_reverse": true}} | 5,841 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = i + 19; v = d + 10; q = m + 9; d = n + 5; x = q + 4; j = t + 14; i = v + 13; p = j + 11; m = p + 6; t = k + 8; k = 17; l = k + 3; n = l + 12. If k = 17, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 13 to e, which gives e = v + 32.\n2. Substitute v = d + 10 to e, which gives e = d + 42.\n3. Substitute d = n + 5 to e, which gives e = n + 47.\n4. Substitute n = l + 12 to e, which gives e = l + 59.\n5. Substitute l = k + 3 to e, which gives e = k + 62.\n6. Substitute k = 17 to e, which gives e = 79.\n\nThus, the final answer is e = \\boxed{79}.",
"index": 5841,
"question": "Consider a system of variables where each variable is defined as follows: e = i + 19; v = d + 10; q = m + 9; d = n + 5; x = q + 4; j = t + 14; i = v + 13; p = j + 11; m = p + 6; t = k + 8; k = 17; l = k + 3; n = l + 12. If k = 17, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 20", "g": "f + 1", "t": "g + 18", "h": "t + 20", "o": "h + 11", "a": "o + 8", "v": "q + 4", "m": "v + 9", "u": "m + 15", "d": "u + 19", "l": "d + 2", "w": "l + 10", "q": 20}, "premises": {"q": 20}, "target": "a"}, "answer": {"steps": [["o", "h + 11", "h + 19"], ["h", "t + 20", "t + 39"], ["t", "g + 18", "g + 57"], ["g", "f + 1", "f + 58"], ["f", "q + 20", "q + 78"], ["q", 20, "98"]], "target_var_name": "a", "target_value": 98, "value_dict": {"q": 20}, "is_reverse": true}} | 5,842 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = g + 18; v = q + 4; l = d + 2; a = o + 8; m = v + 9; d = u + 19; h = t + 20; o = h + 11; u = m + 15; w = l + 10; f = q + 20; q = 20; g = f + 1. Given that q = 20, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 11 to a, which gives a = h + 19.\n2. Substitute h = t + 20 to a, which gives a = t + 39.\n3. Substitute t = g + 18 to a, which gives a = g + 57.\n4. Substitute g = f + 1 to a, which gives a = f + 58.\n5. Substitute f = q + 20 to a, which gives a = q + 78.\n6. Substitute q = 20 to a, which gives a = 98.\n\nThus, the final answer is a = \\boxed{98}.",
"index": 5842,
"question": "Suppose a collection of variables is related by the following definitions: t = g + 18; v = q + 4; l = d + 2; a = o + 8; m = v + 9; d = u + 19; h = t + 20; o = h + 11; u = m + 15; w = l + 10; f = q + 20; q = 20; g = f + 1. Given that q = 20, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 10", "h": "q + 15", "n": "h + 14", "p": "n + 10", "f": "p + 8", "b": "f + 2", "z": "y + 16", "s": "z + 15", "j": "s + 4", "e": "j + 18", "m": "e + 2", "k": "m + 5", "y": 14}, "premises": {"y": 14}, "target": "b"}, "answer": {"steps": [["f", "p + 8", "p + 10"], ["p", "n + 10", "n + 20"], ["n", "h + 14", "h + 34"], ["h", "q + 15", "q + 49"], ["q", "y + 10", "y + 59"], ["y", 14, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"y": 14}, "is_reverse": true}} | 5,843 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = p + 8; j = s + 4; q = y + 10; e = j + 18; s = z + 15; b = f + 2; z = y + 16; n = h + 14; h = q + 15; k = m + 5; y = 14; m = e + 2; p = n + 10. If y = 14, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 8 to b, which gives b = p + 10.\n2. Substitute p = n + 10 to b, which gives b = n + 20.\n3. Substitute n = h + 14 to b, which gives b = h + 34.\n4. Substitute h = q + 15 to b, which gives b = q + 49.\n5. Substitute q = y + 10 to b, which gives b = y + 59.\n6. Substitute y = 14 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 5843,
"question": "Consider a system of variables where each variable is defined as follows: f = p + 8; j = s + 4; q = y + 10; e = j + 18; s = z + 15; b = f + 2; z = y + 16; n = h + 14; h = q + 15; k = m + 5; y = 14; m = e + 2; p = n + 10. If y = 14, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 15", "w": "e + 4", "i": "w + 14", "r": "i + 17", "n": "r + 3", "k": "n + 3", "y": "x + 15", "t": "y + 15", "l": "t + 7", "u": "l + 2", "f": "u + 13", "m": "f + 20", "x": 19}, "premises": {"x": 19}, "target": "k"}, "answer": {"steps": [["n", "r + 3", "r + 6"], ["r", "i + 17", "i + 23"], ["i", "w + 14", "w + 37"], ["w", "e + 4", "e + 41"], ["e", "x + 15", "x + 56"], ["x", 19, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"x": 19}, "is_reverse": true}} | 5,844 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = l + 2; t = y + 15; w = e + 4; i = w + 14; y = x + 15; k = n + 3; r = i + 17; x = 19; e = x + 15; l = t + 7; f = u + 13; m = f + 20; n = r + 3. Given that x = 19, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 3 to k, which gives k = r + 6.\n2. Substitute r = i + 17 to k, which gives k = i + 23.\n3. Substitute i = w + 14 to k, which gives k = w + 37.\n4. Substitute w = e + 4 to k, which gives k = e + 41.\n5. Substitute e = x + 15 to k, which gives k = x + 56.\n6. Substitute x = 19 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 5844,
"question": "Suppose a collection of variables is related by the following definitions: u = l + 2; t = y + 15; w = e + 4; i = w + 14; y = x + 15; k = n + 3; r = i + 17; x = 19; e = x + 15; l = t + 7; f = u + 13; m = f + 20; n = r + 3. Given that x = 19, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 10", "t": "x + 6", "g": "t + 17", "f": "g + 12", "r": "f + 5", "h": "r + 19", "u": "q + 9", "l": "u + 8", "w": "l + 16", "e": "w + 11", "c": "e + 20", "j": "c + 12", "q": 12}, "premises": {"q": 12}, "target": "h"}, "answer": {"steps": [["r", "f + 5", "f + 24"], ["f", "g + 12", "g + 36"], ["g", "t + 17", "t + 53"], ["t", "x + 6", "x + 59"], ["x", "q + 10", "q + 69"], ["q", 12, "81"]], "target_var_name": "h", "target_value": 81, "value_dict": {"q": 12}, "is_reverse": true}} | 5,845 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = l + 16; u = q + 9; e = w + 11; h = r + 19; g = t + 17; q = 12; r = f + 5; x = q + 10; f = g + 12; l = u + 8; j = c + 12; c = e + 20; t = x + 6. Given that q = 12, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 5 to h, which gives h = f + 24.\n2. Substitute f = g + 12 to h, which gives h = g + 36.\n3. Substitute g = t + 17 to h, which gives h = t + 53.\n4. Substitute t = x + 6 to h, which gives h = x + 59.\n5. Substitute x = q + 10 to h, which gives h = q + 69.\n6. Substitute q = 12 to h, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 5845,
"question": "Suppose a collection of variables is related by the following definitions: w = l + 16; u = q + 9; e = w + 11; h = r + 19; g = t + 17; q = 12; r = f + 5; x = q + 10; f = g + 12; l = u + 8; j = c + 12; c = e + 20; t = x + 6. Given that q = 12, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 8", "k": "m + 15", "r": "k + 18", "w": "r + 4", "g": "w + 15", "b": "g + 18", "i": "c + 7", "v": "i + 17", "e": "v + 2", "a": "e + 8", "z": "a + 12", "h": "z + 5", "c": 7}, "premises": {"c": 7}, "target": "b"}, "answer": {"steps": [["g", "w + 15", "w + 33"], ["w", "r + 4", "r + 37"], ["r", "k + 18", "k + 55"], ["k", "m + 15", "m + 70"], ["m", "c + 8", "c + 78"], ["c", 7, "85"]], "target_var_name": "b", "target_value": 85, "value_dict": {"c": 7}, "is_reverse": true}} | 5,846 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = m + 15; e = v + 2; c = 7; v = i + 17; r = k + 18; z = a + 12; b = g + 18; w = r + 4; h = z + 5; a = e + 8; m = c + 8; i = c + 7; g = w + 15. If c = 7, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 15 to b, which gives b = w + 33.\n2. Substitute w = r + 4 to b, which gives b = r + 37.\n3. Substitute r = k + 18 to b, which gives b = k + 55.\n4. Substitute k = m + 15 to b, which gives b = m + 70.\n5. Substitute m = c + 8 to b, which gives b = c + 78.\n6. Substitute c = 7 to b, which gives b = 85.\n\nThus, the final answer is b = \\boxed{85}.",
"index": 5846,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = m + 15; e = v + 2; c = 7; v = i + 17; r = k + 18; z = a + 12; b = g + 18; w = r + 4; h = z + 5; a = e + 8; m = c + 8; i = c + 7; g = w + 15. If c = 7, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"b": "l + 14", "e": "b + 19", "x": "e + 3", "i": "x + 14", "h": "i + 19", "n": "h + 12", "j": "l + 8", "c": "j + 5", "o": "c + 10", "r": "o + 8", "p": "r + 14", "z": "p + 2", "l": 19}, "premises": {"l": 19}, "target": "n"}, "answer": {"steps": [["h", "i + 19", "i + 31"], ["i", "x + 14", "x + 45"], ["x", "e + 3", "e + 48"], ["e", "b + 19", "b + 67"], ["b", "l + 14", "l + 81"], ["l", 19, "100"]], "target_var_name": "n", "target_value": 100, "value_dict": {"l": 19}, "is_reverse": true}} | 5,847 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 14; l = 19; e = b + 19; n = h + 12; r = o + 8; p = r + 14; z = p + 2; j = l + 8; c = j + 5; o = c + 10; b = l + 14; x = e + 3; h = i + 19. If l = 19, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 19 to n, which gives n = i + 31.\n2. Substitute i = x + 14 to n, which gives n = x + 45.\n3. Substitute x = e + 3 to n, which gives n = e + 48.\n4. Substitute e = b + 19 to n, which gives n = b + 67.\n5. Substitute b = l + 14 to n, which gives n = l + 81.\n6. Substitute l = 19 to n, which gives n = 100.\n\nThus, the final answer is n = \\boxed{100}.",
"index": 5847,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 14; l = 19; e = b + 19; n = h + 12; r = o + 8; p = r + 14; z = p + 2; j = l + 8; c = j + 5; o = c + 10; b = l + 14; x = e + 3; h = i + 19. If l = 19, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 14", "i": "b + 15", "a": "i + 6", "q": "a + 20", "c": "q + 18", "u": "c + 11", "g": "d + 9", "k": "g + 15", "e": "k + 3", "o": "e + 11", "y": "o + 14", "m": "y + 20", "d": 16}, "premises": {"d": 16}, "target": "u"}, "answer": {"steps": [["c", "q + 18", "q + 29"], ["q", "a + 20", "a + 49"], ["a", "i + 6", "i + 55"], ["i", "b + 15", "b + 70"], ["b", "d + 14", "d + 84"], ["d", 16, "100"]], "target_var_name": "u", "target_value": 100, "value_dict": {"d": 16}, "is_reverse": true}} | 5,848 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = q + 18; d = 16; o = e + 11; a = i + 6; k = g + 15; y = o + 14; q = a + 20; e = k + 3; u = c + 11; i = b + 15; b = d + 14; m = y + 20; g = d + 9. If d = 16, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 18 to u, which gives u = q + 29.\n2. Substitute q = a + 20 to u, which gives u = a + 49.\n3. Substitute a = i + 6 to u, which gives u = i + 55.\n4. Substitute i = b + 15 to u, which gives u = b + 70.\n5. Substitute b = d + 14 to u, which gives u = d + 84.\n6. Substitute d = 16 to u, which gives u = 100.\n\nThus, the final answer is u = \\boxed{100}.",
"index": 5848,
"question": "Consider a system of variables where each variable is defined as follows: c = q + 18; d = 16; o = e + 11; a = i + 6; k = g + 15; y = o + 14; q = a + 20; e = k + 3; u = c + 11; i = b + 15; b = d + 14; m = y + 20; g = d + 9. If d = 16, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "v + 9", "p": "y + 11", "t": "p + 14", "s": "t + 1", "m": "s + 9", "w": "m + 4", "a": "v + 6", "f": "a + 13", "h": "f + 6", "c": "h + 9", "z": "c + 17", "o": "z + 6", "v": 9}, "premises": {"v": 9}, "target": "w"}, "answer": {"steps": [["m", "s + 9", "s + 13"], ["s", "t + 1", "t + 14"], ["t", "p + 14", "p + 28"], ["p", "y + 11", "y + 39"], ["y", "v + 9", "v + 48"], ["v", 9, "57"]], "target_var_name": "w", "target_value": 57, "value_dict": {"v": 9}, "is_reverse": true}} | 5,849 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = z + 6; a = v + 6; f = a + 13; z = c + 17; t = p + 14; h = f + 6; s = t + 1; w = m + 4; p = y + 11; c = h + 9; m = s + 9; v = 9; y = v + 9. If v = 9, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 9 to w, which gives w = s + 13.\n2. Substitute s = t + 1 to w, which gives w = t + 14.\n3. Substitute t = p + 14 to w, which gives w = p + 28.\n4. Substitute p = y + 11 to w, which gives w = y + 39.\n5. Substitute y = v + 9 to w, which gives w = v + 48.\n6. Substitute v = 9 to w, which gives w = 57.\n\nThus, the final answer is w = \\boxed{57}.",
"index": 5849,
"question": "Consider a system of variables where each variable is defined as follows: o = z + 6; a = v + 6; f = a + 13; z = c + 17; t = p + 14; h = f + 6; s = t + 1; w = m + 4; p = y + 11; c = h + 9; m = s + 9; v = 9; y = v + 9. If v = 9, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"n": "z + 14", "x": "n + 17", "o": "x + 1", "h": "o + 10", "e": "h + 3", "g": "e + 5", "j": "z + 2", "p": "j + 17", "l": "p + 6", "m": "l + 20", "i": "m + 10", "b": "i + 20", "z": 12}, "premises": {"z": 12}, "target": "g"}, "answer": {"steps": [["e", "h + 3", "h + 8"], ["h", "o + 10", "o + 18"], ["o", "x + 1", "x + 19"], ["x", "n + 17", "n + 36"], ["n", "z + 14", "z + 50"], ["z", 12, "62"]], "target_var_name": "g", "target_value": 62, "value_dict": {"z": 12}, "is_reverse": true}} | 5,850 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = e + 5; j = z + 2; m = l + 20; b = i + 20; i = m + 10; l = p + 6; e = h + 3; n = z + 14; x = n + 17; h = o + 10; p = j + 17; o = x + 1; z = 12. Given that z = 12, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 3 to g, which gives g = h + 8.\n2. Substitute h = o + 10 to g, which gives g = o + 18.\n3. Substitute o = x + 1 to g, which gives g = x + 19.\n4. Substitute x = n + 17 to g, which gives g = n + 36.\n5. Substitute n = z + 14 to g, which gives g = z + 50.\n6. Substitute z = 12 to g, which gives g = 62.\n\nThus, the final answer is g = \\boxed{62}.",
"index": 5850,
"question": "Suppose a collection of variables is related by the following definitions: g = e + 5; j = z + 2; m = l + 20; b = i + 20; i = m + 10; l = p + 6; e = h + 3; n = z + 14; x = n + 17; h = o + 10; p = j + 17; o = x + 1; z = 12. Given that z = 12, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 17", "r": "a + 20", "i": "r + 9", "d": "i + 19", "f": "d + 17", "z": "f + 5", "c": "b + 7", "y": "c + 6", "w": "y + 20", "j": "w + 7", "p": "j + 13", "t": "p + 2", "b": 9}, "premises": {"b": 9}, "target": "z"}, "answer": {"steps": [["f", "d + 17", "d + 22"], ["d", "i + 19", "i + 41"], ["i", "r + 9", "r + 50"], ["r", "a + 20", "a + 70"], ["a", "b + 17", "b + 87"], ["b", 9, "96"]], "target_var_name": "z", "target_value": 96, "value_dict": {"b": 9}, "is_reverse": true}} | 5,851 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = 9; t = p + 2; p = j + 13; i = r + 9; r = a + 20; z = f + 5; c = b + 7; f = d + 17; a = b + 17; j = w + 7; d = i + 19; y = c + 6; w = y + 20. If b = 9, 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 f = d + 17 to z, which gives z = d + 22.\n2. Substitute d = i + 19 to z, which gives z = i + 41.\n3. Substitute i = r + 9 to z, which gives z = r + 50.\n4. Substitute r = a + 20 to z, which gives z = a + 70.\n5. Substitute a = b + 17 to z, which gives z = b + 87.\n6. Substitute b = 9 to z, which gives z = 96.\n\nThus, the final answer is z = \\boxed{96}.",
"index": 5851,
"question": "Consider a system of variables where each variable is defined as follows: b = 9; t = p + 2; p = j + 13; i = r + 9; r = a + 20; z = f + 5; c = b + 7; f = d + 17; a = b + 17; j = w + 7; d = i + 19; y = c + 6; w = y + 20. If b = 9, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"r": "x + 15", "w": "r + 3", "o": "w + 1", "m": "o + 3", "k": "m + 17", "v": "k + 11", "d": "x + 17", "j": "d + 15", "a": "j + 20", "z": "a + 9", "h": "z + 13", "i": "h + 7", "x": 7}, "premises": {"x": 7}, "target": "v"}, "answer": {"steps": [["k", "m + 17", "m + 28"], ["m", "o + 3", "o + 31"], ["o", "w + 1", "w + 32"], ["w", "r + 3", "r + 35"], ["r", "x + 15", "x + 50"], ["x", 7, "57"]], "target_var_name": "v", "target_value": 57, "value_dict": {"x": 7}, "is_reverse": true}} | 5,852 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = h + 7; r = x + 15; k = m + 17; m = o + 3; w = r + 3; h = z + 13; d = x + 17; v = k + 11; o = w + 1; x = 7; a = j + 20; j = d + 15; z = a + 9. Given that x = 7, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 17 to v, which gives v = m + 28.\n2. Substitute m = o + 3 to v, which gives v = o + 31.\n3. Substitute o = w + 1 to v, which gives v = w + 32.\n4. Substitute w = r + 3 to v, which gives v = r + 35.\n5. Substitute r = x + 15 to v, which gives v = x + 50.\n6. Substitute x = 7 to v, which gives v = 57.\n\nThus, the final answer is v = \\boxed{57}.",
"index": 5852,
"question": "Suppose a collection of variables is related by the following definitions: i = h + 7; r = x + 15; k = m + 17; m = o + 3; w = r + 3; h = z + 13; d = x + 17; v = k + 11; o = w + 1; x = 7; a = j + 20; j = d + 15; z = a + 9. Given that x = 7, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 4", "u": "c + 20", "z": "u + 5", "g": "z + 20", "l": "g + 18", "b": "l + 4", "p": "t + 6", "i": "p + 5", "a": "i + 20", "f": "a + 1", "k": "f + 13", "m": "k + 14", "t": 5}, "premises": {"t": 5}, "target": "b"}, "answer": {"steps": [["l", "g + 18", "g + 22"], ["g", "z + 20", "z + 42"], ["z", "u + 5", "u + 47"], ["u", "c + 20", "c + 67"], ["c", "t + 4", "t + 71"], ["t", 5, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"t": 5}, "is_reverse": true}} | 5,853 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 20; m = k + 14; k = f + 13; i = p + 5; z = u + 5; f = a + 1; t = 5; c = t + 4; a = i + 20; l = g + 18; b = l + 4; p = t + 6; u = c + 20. Given that t = 5, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 18 to b, which gives b = g + 22.\n2. Substitute g = z + 20 to b, which gives b = z + 42.\n3. Substitute z = u + 5 to b, which gives b = u + 47.\n4. Substitute u = c + 20 to b, which gives b = c + 67.\n5. Substitute c = t + 4 to b, which gives b = t + 71.\n6. Substitute t = 5 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 5853,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 20; m = k + 14; k = f + 13; i = p + 5; z = u + 5; f = a + 1; t = 5; c = t + 4; a = i + 20; l = g + 18; b = l + 4; p = t + 6; u = c + 20. Given that t = 5, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 13", "k": "n + 13", "y": "k + 7", "f": "y + 20", "w": "f + 20", "h": "w + 12", "t": "o + 17", "a": "t + 13", "r": "a + 11", "e": "r + 20", "c": "e + 18", "l": "c + 9", "o": 3}, "premises": {"o": 3}, "target": "h"}, "answer": {"steps": [["w", "f + 20", "f + 32"], ["f", "y + 20", "y + 52"], ["y", "k + 7", "k + 59"], ["k", "n + 13", "n + 72"], ["n", "o + 13", "o + 85"], ["o", 3, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"o": 3}, "is_reverse": true}} | 5,854 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = 3; y = k + 7; c = e + 18; e = r + 20; a = t + 13; f = y + 20; n = o + 13; w = f + 20; t = o + 17; k = n + 13; r = a + 11; l = c + 9; h = w + 12. If o = 3, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 20 to h, which gives h = f + 32.\n2. Substitute f = y + 20 to h, which gives h = y + 52.\n3. Substitute y = k + 7 to h, which gives h = k + 59.\n4. Substitute k = n + 13 to h, which gives h = n + 72.\n5. Substitute n = o + 13 to h, which gives h = o + 85.\n6. Substitute o = 3 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 5854,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 3; y = k + 7; c = e + 18; e = r + 20; a = t + 13; f = y + 20; n = o + 13; w = f + 20; t = o + 17; k = n + 13; r = a + 11; l = c + 9; h = w + 12. If o = 3, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 15", "o": "i + 2", "p": "o + 17", "y": "p + 7", "z": "y + 6", "f": "z + 2", "v": "g + 1", "m": "v + 6", "l": "m + 11", "j": "l + 2", "a": "j + 18", "u": "a + 14", "g": 13}, "premises": {"g": 13}, "target": "f"}, "answer": {"steps": [["z", "y + 6", "y + 8"], ["y", "p + 7", "p + 15"], ["p", "o + 17", "o + 32"], ["o", "i + 2", "i + 34"], ["i", "g + 15", "g + 49"], ["g", 13, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"g": 13}, "is_reverse": true}} | 5,855 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = i + 2; u = a + 14; i = g + 15; p = o + 17; j = l + 2; v = g + 1; l = m + 11; a = j + 18; g = 13; z = y + 6; f = z + 2; m = v + 6; y = p + 7. Given that g = 13, find 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 z = y + 6 to f, which gives f = y + 8.\n2. Substitute y = p + 7 to f, which gives f = p + 15.\n3. Substitute p = o + 17 to f, which gives f = o + 32.\n4. Substitute o = i + 2 to f, which gives f = i + 34.\n5. Substitute i = g + 15 to f, which gives f = g + 49.\n6. Substitute g = 13 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 5855,
"question": "Suppose a collection of variables is related by the following definitions: o = i + 2; u = a + 14; i = g + 15; p = o + 17; j = l + 2; v = g + 1; l = m + 11; a = j + 18; g = 13; z = y + 6; f = z + 2; m = v + 6; y = p + 7. Given that g = 13, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 18", "o": "z + 2", "g": "o + 3", "l": "g + 9", "n": "l + 1", "t": "n + 8", "v": "r + 16", "w": "v + 6", "k": "w + 3", "e": "k + 9", "q": "e + 12", "j": "q + 3", "r": 7}, "premises": {"r": 7}, "target": "t"}, "answer": {"steps": [["n", "l + 1", "l + 9"], ["l", "g + 9", "g + 18"], ["g", "o + 3", "o + 21"], ["o", "z + 2", "z + 23"], ["z", "r + 18", "r + 41"], ["r", 7, "48"]], "target_var_name": "t", "target_value": 48, "value_dict": {"r": 7}, "is_reverse": true}} | 5,856 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = k + 9; t = n + 8; z = r + 18; r = 7; l = g + 9; o = z + 2; j = q + 3; k = w + 3; w = v + 6; n = l + 1; v = r + 16; q = e + 12; g = o + 3. If r = 7, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 1 to t, which gives t = l + 9.\n2. Substitute l = g + 9 to t, which gives t = g + 18.\n3. Substitute g = o + 3 to t, which gives t = o + 21.\n4. Substitute o = z + 2 to t, which gives t = z + 23.\n5. Substitute z = r + 18 to t, which gives t = r + 41.\n6. Substitute r = 7 to t, which gives t = 48.\n\nThus, the final answer is t = \\boxed{48}.",
"index": 5856,
"question": "Consider a system of variables where each variable is defined as follows: e = k + 9; t = n + 8; z = r + 18; r = 7; l = g + 9; o = z + 2; j = q + 3; k = w + 3; w = v + 6; n = l + 1; v = r + 16; q = e + 12; g = o + 3. If r = 7, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"d": "m + 11", "a": "d + 10", "j": "a + 12", "z": "j + 7", "b": "z + 18", "s": "b + 6", "n": "m + 13", "r": "n + 14", "l": "r + 2", "h": "l + 10", "w": "h + 2", "c": "w + 4", "m": 20}, "premises": {"m": 20}, "target": "s"}, "answer": {"steps": [["b", "z + 18", "z + 24"], ["z", "j + 7", "j + 31"], ["j", "a + 12", "a + 43"], ["a", "d + 10", "d + 53"], ["d", "m + 11", "m + 64"], ["m", 20, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"m": 20}, "is_reverse": true}} | 5,857 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = l + 10; s = b + 6; r = n + 14; b = z + 18; m = 20; a = d + 10; j = a + 12; w = h + 2; l = r + 2; n = m + 13; z = j + 7; c = w + 4; d = m + 11. Given that m = 20, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 18 to s, which gives s = z + 24.\n2. Substitute z = j + 7 to s, which gives s = j + 31.\n3. Substitute j = a + 12 to s, which gives s = a + 43.\n4. Substitute a = d + 10 to s, which gives s = d + 53.\n5. Substitute d = m + 11 to s, which gives s = m + 64.\n6. Substitute m = 20 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 5857,
"question": "Suppose a collection of variables is related by the following definitions: h = l + 10; s = b + 6; r = n + 14; b = z + 18; m = 20; a = d + 10; j = a + 12; w = h + 2; l = r + 2; n = m + 13; z = j + 7; c = w + 4; d = m + 11. Given that m = 20, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "a + 8", "f": "o + 9", "p": "f + 20", "d": "p + 7", "k": "d + 9", "e": "k + 10", "v": "a + 3", "u": "v + 15", "x": "u + 12", "n": "x + 14", "h": "n + 7", "g": "h + 18", "a": 13}, "premises": {"a": 13}, "target": "e"}, "answer": {"steps": [["k", "d + 9", "d + 19"], ["d", "p + 7", "p + 26"], ["p", "f + 20", "f + 46"], ["f", "o + 9", "o + 55"], ["o", "a + 8", "a + 63"], ["a", 13, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"a": 13}, "is_reverse": true}} | 5,858 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = n + 7; a = 13; e = k + 10; n = x + 14; x = u + 12; d = p + 7; u = v + 15; v = a + 3; p = f + 20; g = h + 18; o = a + 8; f = o + 9; k = d + 9. If a = 13, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 9 to e, which gives e = d + 19.\n2. Substitute d = p + 7 to e, which gives e = p + 26.\n3. Substitute p = f + 20 to e, which gives e = f + 46.\n4. Substitute f = o + 9 to e, which gives e = o + 55.\n5. Substitute o = a + 8 to e, which gives e = a + 63.\n6. Substitute a = 13 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 5858,
"question": "Consider a system of variables where each variable is defined as follows: h = n + 7; a = 13; e = k + 10; n = x + 14; x = u + 12; d = p + 7; u = v + 15; v = a + 3; p = f + 20; g = h + 18; o = a + 8; f = o + 9; k = d + 9. If a = 13, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 6", "b": "v + 3", "h": "b + 6", "g": "h + 6", "d": "g + 2", "w": "d + 14", "o": "r + 9", "z": "o + 12", "p": "z + 17", "k": "p + 19", "q": "k + 20", "c": "q + 5", "r": 11}, "premises": {"r": 11}, "target": "w"}, "answer": {"steps": [["d", "g + 2", "g + 16"], ["g", "h + 6", "h + 22"], ["h", "b + 6", "b + 28"], ["b", "v + 3", "v + 31"], ["v", "r + 6", "r + 37"], ["r", 11, "48"]], "target_var_name": "w", "target_value": 48, "value_dict": {"r": 11}, "is_reverse": true}} | 5,859 | 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 = d + 14; c = q + 5; k = p + 19; d = g + 2; z = o + 12; o = r + 9; g = h + 6; r = 11; q = k + 20; v = r + 6; b = v + 3; p = z + 17; h = b + 6. If r = 11, what is the resulting 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 d = g + 2 to w, which gives w = g + 16.\n2. Substitute g = h + 6 to w, which gives w = h + 22.\n3. Substitute h = b + 6 to w, which gives w = b + 28.\n4. Substitute b = v + 3 to w, which gives w = v + 31.\n5. Substitute v = r + 6 to w, which gives w = r + 37.\n6. Substitute r = 11 to w, which gives w = 48.\n\nThus, the final answer is w = \\boxed{48}.",
"index": 5859,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = d + 14; c = q + 5; k = p + 19; d = g + 2; z = o + 12; o = r + 9; g = h + 6; r = 11; q = k + 20; v = r + 6; b = v + 3; p = z + 17; h = b + 6. If r = 11, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 3", "k": "r + 2", "l": "k + 4", "d": "l + 20", "c": "d + 17", "h": "c + 6", "g": "m + 6", "w": "g + 6", "i": "w + 7", "f": "i + 20", "p": "f + 20", "q": "p + 16", "m": 15}, "premises": {"m": 15}, "target": "h"}, "answer": {"steps": [["c", "d + 17", "d + 23"], ["d", "l + 20", "l + 43"], ["l", "k + 4", "k + 47"], ["k", "r + 2", "r + 49"], ["r", "m + 3", "m + 52"], ["m", 15, "67"]], "target_var_name": "h", "target_value": 67, "value_dict": {"m": 15}, "is_reverse": true}} | 5,860 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 2; i = w + 7; c = d + 17; p = f + 20; q = p + 16; m = 15; f = i + 20; h = c + 6; r = m + 3; d = l + 20; g = m + 6; w = g + 6; l = k + 4. If m = 15, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 17 to h, which gives h = d + 23.\n2. Substitute d = l + 20 to h, which gives h = l + 43.\n3. Substitute l = k + 4 to h, which gives h = k + 47.\n4. Substitute k = r + 2 to h, which gives h = r + 49.\n5. Substitute r = m + 3 to h, which gives h = m + 52.\n6. Substitute m = 15 to h, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 5860,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 2; i = w + 7; c = d + 17; p = f + 20; q = p + 16; m = 15; f = i + 20; h = c + 6; r = m + 3; d = l + 20; g = m + 6; w = g + 6; l = k + 4. If m = 15, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 2", "i": "q + 7", "k": "i + 13", "c": "k + 1", "f": "c + 16", "n": "f + 10", "w": "u + 19", "v": "w + 16", "a": "v + 14", "x": "a + 13", "j": "x + 20", "l": "j + 20", "u": 4}, "premises": {"u": 4}, "target": "n"}, "answer": {"steps": [["f", "c + 16", "c + 26"], ["c", "k + 1", "k + 27"], ["k", "i + 13", "i + 40"], ["i", "q + 7", "q + 47"], ["q", "u + 2", "u + 49"], ["u", 4, "53"]], "target_var_name": "n", "target_value": 53, "value_dict": {"u": 4}, "is_reverse": true}} | 5,861 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = w + 16; f = c + 16; w = u + 19; j = x + 20; q = u + 2; u = 4; x = a + 13; a = v + 14; n = f + 10; k = i + 13; i = q + 7; l = j + 20; c = k + 1. Given that u = 4, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 16 to n, which gives n = c + 26.\n2. Substitute c = k + 1 to n, which gives n = k + 27.\n3. Substitute k = i + 13 to n, which gives n = i + 40.\n4. Substitute i = q + 7 to n, which gives n = q + 47.\n5. Substitute q = u + 2 to n, which gives n = u + 49.\n6. Substitute u = 4 to n, which gives n = 53.\n\nThus, the final answer is n = \\boxed{53}.",
"index": 5861,
"question": "Suppose a collection of variables is related by the following definitions: v = w + 16; f = c + 16; w = u + 19; j = x + 20; q = u + 2; u = 4; x = a + 13; a = v + 14; n = f + 10; k = i + 13; i = q + 7; l = j + 20; c = k + 1. Given that u = 4, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 12", "n": "t + 14", "c": "n + 4", "k": "c + 9", "h": "k + 19", "i": "h + 11", "g": "m + 10", "f": "g + 20", "s": "f + 17", "r": "s + 18", "p": "r + 12", "e": "p + 8", "m": 14}, "premises": {"m": 14}, "target": "i"}, "answer": {"steps": [["h", "k + 19", "k + 30"], ["k", "c + 9", "c + 39"], ["c", "n + 4", "n + 43"], ["n", "t + 14", "t + 57"], ["t", "m + 12", "m + 69"], ["m", 14, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"m": 14}, "is_reverse": true}} | 5,862 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = m + 12; r = s + 18; n = t + 14; p = r + 12; c = n + 4; s = f + 17; g = m + 10; e = p + 8; h = k + 19; i = h + 11; k = c + 9; m = 14; f = g + 20. If m = 14, determine the 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 h = k + 19 to i, which gives i = k + 30.\n2. Substitute k = c + 9 to i, which gives i = c + 39.\n3. Substitute c = n + 4 to i, which gives i = n + 43.\n4. Substitute n = t + 14 to i, which gives i = t + 57.\n5. Substitute t = m + 12 to i, which gives i = m + 69.\n6. Substitute m = 14 to i, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 5862,
"question": "Consider a system of variables where each variable is defined as follows: t = m + 12; r = s + 18; n = t + 14; p = r + 12; c = n + 4; s = f + 17; g = m + 10; e = p + 8; h = k + 19; i = h + 11; k = c + 9; m = 14; f = g + 20. If m = 14, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"j": "g + 9", "p": "j + 9", "o": "p + 15", "a": "o + 14", "q": "a + 17", "f": "q + 13", "c": "g + 7", "h": "c + 6", "b": "h + 2", "z": "b + 14", "d": "z + 1", "n": "d + 18", "g": 6}, "premises": {"g": 6}, "target": "f"}, "answer": {"steps": [["q", "a + 17", "a + 30"], ["a", "o + 14", "o + 44"], ["o", "p + 15", "p + 59"], ["p", "j + 9", "j + 68"], ["j", "g + 9", "g + 77"], ["g", 6, "83"]], "target_var_name": "f", "target_value": 83, "value_dict": {"g": 6}, "is_reverse": true}} | 5,863 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = h + 2; h = c + 6; a = o + 14; j = g + 9; o = p + 15; q = a + 17; p = j + 9; n = d + 18; d = z + 1; f = q + 13; z = b + 14; g = 6; c = g + 7. If g = 6, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 17 to f, which gives f = a + 30.\n2. Substitute a = o + 14 to f, which gives f = o + 44.\n3. Substitute o = p + 15 to f, which gives f = p + 59.\n4. Substitute p = j + 9 to f, which gives f = j + 68.\n5. Substitute j = g + 9 to f, which gives f = g + 77.\n6. Substitute g = 6 to f, which gives f = 83.\n\nThus, the final answer is f = \\boxed{83}.",
"index": 5863,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = h + 2; h = c + 6; a = o + 14; j = g + 9; o = p + 15; q = a + 17; p = j + 9; n = d + 18; d = z + 1; f = q + 13; z = b + 14; g = 6; c = g + 7. If g = 6, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 12", "y": "e + 18", "k": "y + 17", "r": "k + 19", "m": "r + 14", "s": "m + 12", "q": "t + 19", "n": "q + 17", "g": "n + 4", "h": "g + 14", "x": "h + 13", "f": "x + 13", "t": 8}, "premises": {"t": 8}, "target": "s"}, "answer": {"steps": [["m", "r + 14", "r + 26"], ["r", "k + 19", "k + 45"], ["k", "y + 17", "y + 62"], ["y", "e + 18", "e + 80"], ["e", "t + 12", "t + 92"], ["t", 8, "100"]], "target_var_name": "s", "target_value": 100, "value_dict": {"t": 8}, "is_reverse": true}} | 5,864 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = k + 19; h = g + 14; t = 8; k = y + 17; g = n + 4; x = h + 13; s = m + 12; q = t + 19; m = r + 14; y = e + 18; f = x + 13; e = t + 12; n = q + 17. Given that t = 8, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 14 to s, which gives s = r + 26.\n2. Substitute r = k + 19 to s, which gives s = k + 45.\n3. Substitute k = y + 17 to s, which gives s = y + 62.\n4. Substitute y = e + 18 to s, which gives s = e + 80.\n5. Substitute e = t + 12 to s, which gives s = t + 92.\n6. Substitute t = 8 to s, which gives s = 100.\n\nThus, the final answer is s = \\boxed{100}.",
"index": 5864,
"question": "Suppose a collection of variables is related by the following definitions: r = k + 19; h = g + 14; t = 8; k = y + 17; g = n + 4; x = h + 13; s = m + 12; q = t + 19; m = r + 14; y = e + 18; f = x + 13; e = t + 12; n = q + 17. Given that t = 8, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"d": "m + 7", "f": "d + 2", "u": "f + 1", "b": "u + 20", "i": "b + 18", "n": "i + 6", "q": "m + 18", "c": "q + 18", "z": "c + 5", "j": "z + 16", "x": "j + 6", "w": "x + 12", "m": 9}, "premises": {"m": 9}, "target": "n"}, "answer": {"steps": [["i", "b + 18", "b + 24"], ["b", "u + 20", "u + 44"], ["u", "f + 1", "f + 45"], ["f", "d + 2", "d + 47"], ["d", "m + 7", "m + 54"], ["m", 9, "63"]], "target_var_name": "n", "target_value": 63, "value_dict": {"m": 9}, "is_reverse": true}} | 5,865 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = d + 2; c = q + 18; w = x + 12; i = b + 18; q = m + 18; z = c + 5; x = j + 6; j = z + 16; d = m + 7; n = i + 6; u = f + 1; m = 9; b = u + 20. If m = 9, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 18 to n, which gives n = b + 24.\n2. Substitute b = u + 20 to n, which gives n = u + 44.\n3. Substitute u = f + 1 to n, which gives n = f + 45.\n4. Substitute f = d + 2 to n, which gives n = d + 47.\n5. Substitute d = m + 7 to n, which gives n = m + 54.\n6. Substitute m = 9 to n, which gives n = 63.\n\nThus, the final answer is n = \\boxed{63}.",
"index": 5865,
"question": "Consider a system of variables where each variable is defined as follows: f = d + 2; c = q + 18; w = x + 12; i = b + 18; q = m + 18; z = c + 5; x = j + 6; j = z + 16; d = m + 7; n = i + 6; u = f + 1; m = 9; b = u + 20. If m = 9, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 9", "w": "e + 18", "z": "w + 17", "l": "z + 10", "k": "l + 9", "x": "k + 19", "f": "s + 19", "d": "f + 2", "y": "d + 6", "c": "y + 3", "b": "c + 15", "r": "b + 19", "s": 13}, "premises": {"s": 13}, "target": "x"}, "answer": {"steps": [["k", "l + 9", "l + 28"], ["l", "z + 10", "z + 38"], ["z", "w + 17", "w + 55"], ["w", "e + 18", "e + 73"], ["e", "s + 9", "s + 82"], ["s", 13, "95"]], "target_var_name": "x", "target_value": 95, "value_dict": {"s": 13}, "is_reverse": true}} | 5,866 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = c + 15; y = d + 6; d = f + 2; s = 13; w = e + 18; r = b + 19; k = l + 9; l = z + 10; z = w + 17; c = y + 3; x = k + 19; e = s + 9; f = s + 19. Given that s = 13, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 9 to x, which gives x = l + 28.\n2. Substitute l = z + 10 to x, which gives x = z + 38.\n3. Substitute z = w + 17 to x, which gives x = w + 55.\n4. Substitute w = e + 18 to x, which gives x = e + 73.\n5. Substitute e = s + 9 to x, which gives x = s + 82.\n6. Substitute s = 13 to x, which gives x = 95.\n\nThus, the final answer is x = \\boxed{95}.",
"index": 5866,
"question": "Suppose a collection of variables is related by the following definitions: b = c + 15; y = d + 6; d = f + 2; s = 13; w = e + 18; r = b + 19; k = l + 9; l = z + 10; z = w + 17; c = y + 3; x = k + 19; e = s + 9; f = s + 19. Given that s = 13, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 12", "v": "y + 1", "d": "v + 2", "e": "d + 19", "m": "e + 11", "h": "m + 1", "i": "k + 1", "a": "i + 11", "n": "a + 4", "j": "n + 2", "s": "j + 10", "q": "s + 11", "k": 5}, "premises": {"k": 5}, "target": "h"}, "answer": {"steps": [["m", "e + 11", "e + 12"], ["e", "d + 19", "d + 31"], ["d", "v + 2", "v + 33"], ["v", "y + 1", "y + 34"], ["y", "k + 12", "k + 46"], ["k", 5, "51"]], "target_var_name": "h", "target_value": 51, "value_dict": {"k": 5}, "is_reverse": true}} | 5,867 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = k + 1; q = s + 11; m = e + 11; h = m + 1; s = j + 10; e = d + 19; d = v + 2; n = a + 4; k = 5; a = i + 11; y = k + 12; j = n + 2; v = y + 1. If k = 5, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 11 to h, which gives h = e + 12.\n2. Substitute e = d + 19 to h, which gives h = d + 31.\n3. Substitute d = v + 2 to h, which gives h = v + 33.\n4. Substitute v = y + 1 to h, which gives h = y + 34.\n5. Substitute y = k + 12 to h, which gives h = k + 46.\n6. Substitute k = 5 to h, which gives h = 51.\n\nThus, the final answer is h = \\boxed{51}.",
"index": 5867,
"question": "Consider a system of variables where each variable is defined as follows: i = k + 1; q = s + 11; m = e + 11; h = m + 1; s = j + 10; e = d + 19; d = v + 2; n = a + 4; k = 5; a = i + 11; y = k + 12; j = n + 2; v = y + 1. If k = 5, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 12", "c": "f + 1", "v": "c + 14", "w": "v + 14", "t": "w + 14", "n": "t + 5", "r": "a + 13", "y": "r + 12", "i": "y + 7", "j": "i + 16", "e": "j + 17", "x": "e + 20", "a": 1}, "premises": {"a": 1}, "target": "n"}, "answer": {"steps": [["t", "w + 14", "w + 19"], ["w", "v + 14", "v + 33"], ["v", "c + 14", "c + 47"], ["c", "f + 1", "f + 48"], ["f", "a + 12", "a + 60"], ["a", 1, "61"]], "target_var_name": "n", "target_value": 61, "value_dict": {"a": 1}, "is_reverse": true}} | 5,868 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 14; t = w + 14; w = v + 14; n = t + 5; r = a + 13; f = a + 12; c = f + 1; j = i + 16; i = y + 7; y = r + 12; x = e + 20; e = j + 17; a = 1. If a = 1, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 14 to n, which gives n = w + 19.\n2. Substitute w = v + 14 to n, which gives n = v + 33.\n3. Substitute v = c + 14 to n, which gives n = c + 47.\n4. Substitute c = f + 1 to n, which gives n = f + 48.\n5. Substitute f = a + 12 to n, which gives n = a + 60.\n6. Substitute a = 1 to n, which gives n = 61.\n\nThus, the final answer is n = \\boxed{61}.",
"index": 5868,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 14; t = w + 14; w = v + 14; n = t + 5; r = a + 13; f = a + 12; c = f + 1; j = i + 16; i = y + 7; y = r + 12; x = e + 20; e = j + 17; a = 1. If a = 1, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 8", "k": "g + 5", "f": "k + 14", "i": "f + 3", "b": "i + 10", "z": "b + 4", "t": "h + 19", "c": "t + 2", "v": "c + 7", "j": "v + 20", "u": "j + 2", "o": "u + 12", "h": 20}, "premises": {"h": 20}, "target": "z"}, "answer": {"steps": [["b", "i + 10", "i + 14"], ["i", "f + 3", "f + 17"], ["f", "k + 14", "k + 31"], ["k", "g + 5", "g + 36"], ["g", "h + 8", "h + 44"], ["h", 20, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"h": 20}, "is_reverse": true}} | 5,869 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = b + 4; h = 20; g = h + 8; f = k + 14; j = v + 20; b = i + 10; o = u + 12; c = t + 2; v = c + 7; u = j + 2; i = f + 3; t = h + 19; k = g + 5. If h = 20, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 10 to z, which gives z = i + 14.\n2. Substitute i = f + 3 to z, which gives z = f + 17.\n3. Substitute f = k + 14 to z, which gives z = k + 31.\n4. Substitute k = g + 5 to z, which gives z = g + 36.\n5. Substitute g = h + 8 to z, which gives z = h + 44.\n6. Substitute h = 20 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 5869,
"question": "Consider a system of variables where each variable is defined as follows: z = b + 4; h = 20; g = h + 8; f = k + 14; j = v + 20; b = i + 10; o = u + 12; c = t + 2; v = c + 7; u = j + 2; i = f + 3; t = h + 19; k = g + 5. If h = 20, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 19", "y": "b + 3", "w": "y + 5", "f": "w + 8", "j": "f + 6", "k": "j + 10", "z": "s + 19", "g": "z + 3", "e": "g + 15", "d": "e + 1", "l": "d + 12", "a": "l + 9", "s": 18}, "premises": {"s": 18}, "target": "k"}, "answer": {"steps": [["j", "f + 6", "f + 16"], ["f", "w + 8", "w + 24"], ["w", "y + 5", "y + 29"], ["y", "b + 3", "b + 32"], ["b", "s + 19", "s + 51"], ["s", 18, "69"]], "target_var_name": "k", "target_value": 69, "value_dict": {"s": 18}, "is_reverse": true}} | 5,870 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 3; e = g + 15; z = s + 19; j = f + 6; d = e + 1; s = 18; b = s + 19; a = l + 9; f = w + 8; w = y + 5; k = j + 10; l = d + 12; y = b + 3. Given that s = 18, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 6 to k, which gives k = f + 16.\n2. Substitute f = w + 8 to k, which gives k = w + 24.\n3. Substitute w = y + 5 to k, which gives k = y + 29.\n4. Substitute y = b + 3 to k, which gives k = b + 32.\n5. Substitute b = s + 19 to k, which gives k = s + 51.\n6. Substitute s = 18 to k, which gives k = 69.\n\nThus, the final answer is k = \\boxed{69}.",
"index": 5870,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 3; e = g + 15; z = s + 19; j = f + 6; d = e + 1; s = 18; b = s + 19; a = l + 9; f = w + 8; w = y + 5; k = j + 10; l = d + 12; y = b + 3. Given that s = 18, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 20", "c": "o + 18", "q": "c + 13", "g": "q + 17", "d": "g + 12", "e": "d + 8", "w": "j + 1", "i": "w + 1", "u": "i + 3", "b": "u + 12", "k": "b + 13", "n": "k + 19", "j": 18}, "premises": {"j": 18}, "target": "e"}, "answer": {"steps": [["d", "g + 12", "g + 20"], ["g", "q + 17", "q + 37"], ["q", "c + 13", "c + 50"], ["c", "o + 18", "o + 68"], ["o", "j + 20", "j + 88"], ["j", 18, "106"]], "target_var_name": "e", "target_value": 106, "value_dict": {"j": 18}, "is_reverse": true}} | 5,871 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 18; q = c + 13; n = k + 19; w = j + 1; g = q + 17; b = u + 12; o = j + 20; i = w + 1; e = d + 8; u = i + 3; c = o + 18; k = b + 13; d = g + 12. Given that j = 18, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 12 to e, which gives e = g + 20.\n2. Substitute g = q + 17 to e, which gives e = q + 37.\n3. Substitute q = c + 13 to e, which gives e = c + 50.\n4. Substitute c = o + 18 to e, which gives e = o + 68.\n5. Substitute o = j + 20 to e, which gives e = j + 88.\n6. Substitute j = 18 to e, which gives e = 106.\n\nThus, the final answer is e = \\boxed{106}.",
"index": 5871,
"question": "Suppose a collection of variables is related by the following definitions: j = 18; q = c + 13; n = k + 19; w = j + 1; g = q + 17; b = u + 12; o = j + 20; i = w + 1; e = d + 8; u = i + 3; c = o + 18; k = b + 13; d = g + 12. Given that j = 18, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 15", "p": "f + 19", "r": "p + 12", "e": "r + 3", "u": "e + 1", "k": "u + 14", "d": "t + 5", "o": "d + 3", "l": "o + 16", "h": "l + 18", "m": "h + 18", "v": "m + 16", "t": 20}, "premises": {"t": 20}, "target": "k"}, "answer": {"steps": [["u", "e + 1", "e + 15"], ["e", "r + 3", "r + 18"], ["r", "p + 12", "p + 30"], ["p", "f + 19", "f + 49"], ["f", "t + 15", "t + 64"], ["t", 20, "84"]], "target_var_name": "k", "target_value": 84, "value_dict": {"t": 20}, "is_reverse": true}} | 5,872 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = o + 16; p = f + 19; h = l + 18; d = t + 5; t = 20; v = m + 16; r = p + 12; k = u + 14; m = h + 18; e = r + 3; u = e + 1; o = d + 3; f = t + 15. If t = 20, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 1 to k, which gives k = e + 15.\n2. Substitute e = r + 3 to k, which gives k = r + 18.\n3. Substitute r = p + 12 to k, which gives k = p + 30.\n4. Substitute p = f + 19 to k, which gives k = f + 49.\n5. Substitute f = t + 15 to k, which gives k = t + 64.\n6. Substitute t = 20 to k, which gives k = 84.\n\nThus, the final answer is k = \\boxed{84}.",
"index": 5872,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = o + 16; p = f + 19; h = l + 18; d = t + 5; t = 20; v = m + 16; r = p + 12; k = u + 14; m = h + 18; e = r + 3; u = e + 1; o = d + 3; f = t + 15. If t = 20, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 12", "m": "t + 19", "d": "m + 18", "c": "d + 9", "v": "c + 9", "a": "v + 19", "o": "f + 15", "s": "o + 6", "b": "s + 1", "h": "b + 20", "l": "h + 6", "g": "l + 9", "f": 3}, "premises": {"f": 3}, "target": "a"}, "answer": {"steps": [["v", "c + 9", "c + 28"], ["c", "d + 9", "d + 37"], ["d", "m + 18", "m + 55"], ["m", "t + 19", "t + 74"], ["t", "f + 12", "f + 86"], ["f", 3, "89"]], "target_var_name": "a", "target_value": 89, "value_dict": {"f": 3}, "is_reverse": true}} | 5,873 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = l + 9; l = h + 6; c = d + 9; d = m + 18; h = b + 20; a = v + 19; f = 3; v = c + 9; m = t + 19; s = o + 6; t = f + 12; b = s + 1; o = f + 15. If f = 3, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 9 to a, which gives a = c + 28.\n2. Substitute c = d + 9 to a, which gives a = d + 37.\n3. Substitute d = m + 18 to a, which gives a = m + 55.\n4. Substitute m = t + 19 to a, which gives a = t + 74.\n5. Substitute t = f + 12 to a, which gives a = f + 86.\n6. Substitute f = 3 to a, which gives a = 89.\n\nThus, the final answer is a = \\boxed{89}.",
"index": 5873,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = l + 9; l = h + 6; c = d + 9; d = m + 18; h = b + 20; a = v + 19; f = 3; v = c + 9; m = t + 19; s = o + 6; t = f + 12; b = s + 1; o = f + 15. If f = 3, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 5", "k": "o + 3", "y": "k + 13", "v": "y + 12", "r": "v + 6", "h": "r + 13", "p": "l + 1", "x": "p + 12", "e": "x + 15", "j": "e + 8", "w": "j + 8", "s": "w + 7", "l": 9}, "premises": {"l": 9}, "target": "h"}, "answer": {"steps": [["r", "v + 6", "v + 19"], ["v", "y + 12", "y + 31"], ["y", "k + 13", "k + 44"], ["k", "o + 3", "o + 47"], ["o", "l + 5", "l + 52"], ["l", 9, "61"]], "target_var_name": "h", "target_value": 61, "value_dict": {"l": 9}, "is_reverse": true}} | 5,874 | 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 = v + 6; s = w + 7; l = 9; o = l + 5; y = k + 13; k = o + 3; w = j + 8; e = x + 15; h = r + 13; x = p + 12; v = y + 12; p = l + 1; j = e + 8. If l = 9, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 6 to h, which gives h = v + 19.\n2. Substitute v = y + 12 to h, which gives h = y + 31.\n3. Substitute y = k + 13 to h, which gives h = k + 44.\n4. Substitute k = o + 3 to h, which gives h = o + 47.\n5. Substitute o = l + 5 to h, which gives h = l + 52.\n6. Substitute l = 9 to h, which gives h = 61.\n\nThus, the final answer is h = \\boxed{61}.",
"index": 5874,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = v + 6; s = w + 7; l = 9; o = l + 5; y = k + 13; k = o + 3; w = j + 8; e = x + 15; h = r + 13; x = p + 12; v = y + 12; p = l + 1; j = e + 8. If l = 9, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"c": "u + 10", "v": "c + 4", "h": "v + 8", "w": "h + 1", "o": "w + 14", "r": "o + 15", "d": "u + 11", "n": "d + 5", "e": "n + 7", "f": "e + 10", "z": "f + 11", "i": "z + 14", "u": 13}, "premises": {"u": 13}, "target": "r"}, "answer": {"steps": [["o", "w + 14", "w + 29"], ["w", "h + 1", "h + 30"], ["h", "v + 8", "v + 38"], ["v", "c + 4", "c + 42"], ["c", "u + 10", "u + 52"], ["u", 13, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"u": 13}, "is_reverse": true}} | 5,875 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = v + 8; d = u + 11; v = c + 4; w = h + 1; z = f + 11; n = d + 5; f = e + 10; i = z + 14; u = 13; o = w + 14; e = n + 7; c = u + 10; r = o + 15. If u = 13, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 14 to r, which gives r = w + 29.\n2. Substitute w = h + 1 to r, which gives r = h + 30.\n3. Substitute h = v + 8 to r, which gives r = v + 38.\n4. Substitute v = c + 4 to r, which gives r = c + 42.\n5. Substitute c = u + 10 to r, which gives r = u + 52.\n6. Substitute u = 13 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 5875,
"question": "Consider a system of variables where each variable is defined as follows: h = v + 8; d = u + 11; v = c + 4; w = h + 1; z = f + 11; n = d + 5; f = e + 10; i = z + 14; u = 13; o = w + 14; e = n + 7; c = u + 10; r = o + 15. If u = 13, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"j": "z + 15", "h": "j + 8", "a": "h + 16", "d": "a + 3", "m": "d + 17", "u": "m + 19", "c": "z + 8", "b": "c + 10", "v": "b + 18", "k": "v + 5", "n": "k + 6", "p": "n + 10", "z": 19}, "premises": {"z": 19}, "target": "u"}, "answer": {"steps": [["m", "d + 17", "d + 36"], ["d", "a + 3", "a + 39"], ["a", "h + 16", "h + 55"], ["h", "j + 8", "j + 63"], ["j", "z + 15", "z + 78"], ["z", 19, "97"]], "target_var_name": "u", "target_value": 97, "value_dict": {"z": 19}, "is_reverse": true}} | 5,876 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = n + 10; d = a + 3; c = z + 8; m = d + 17; n = k + 6; u = m + 19; v = b + 18; k = v + 5; a = h + 16; z = 19; h = j + 8; b = c + 10; j = z + 15. Given that z = 19, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 17 to u, which gives u = d + 36.\n2. Substitute d = a + 3 to u, which gives u = a + 39.\n3. Substitute a = h + 16 to u, which gives u = h + 55.\n4. Substitute h = j + 8 to u, which gives u = j + 63.\n5. Substitute j = z + 15 to u, which gives u = z + 78.\n6. Substitute z = 19 to u, which gives u = 97.\n\nThus, the final answer is u = \\boxed{97}.",
"index": 5876,
"question": "Suppose a collection of variables is related by the following definitions: p = n + 10; d = a + 3; c = z + 8; m = d + 17; n = k + 6; u = m + 19; v = b + 18; k = v + 5; a = h + 16; z = 19; h = j + 8; b = c + 10; j = z + 15. Given that z = 19, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 1", "e": "g + 17", "w": "e + 6", "u": "w + 19", "a": "u + 15", "t": "a + 1", "q": "x + 15", "v": "q + 17", "d": "v + 1", "n": "d + 7", "i": "n + 16", "f": "i + 7", "x": 20}, "premises": {"x": 20}, "target": "t"}, "answer": {"steps": [["a", "u + 15", "u + 16"], ["u", "w + 19", "w + 35"], ["w", "e + 6", "e + 41"], ["e", "g + 17", "g + 58"], ["g", "x + 1", "x + 59"], ["x", 20, "79"]], "target_var_name": "t", "target_value": 79, "value_dict": {"x": 20}, "is_reverse": true}} | 5,877 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 1; g = x + 1; n = d + 7; w = e + 6; v = q + 17; q = x + 15; t = a + 1; f = i + 7; x = 20; u = w + 19; a = u + 15; e = g + 17; i = n + 16. If x = 20, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 15 to t, which gives t = u + 16.\n2. Substitute u = w + 19 to t, which gives t = w + 35.\n3. Substitute w = e + 6 to t, which gives t = e + 41.\n4. Substitute e = g + 17 to t, which gives t = g + 58.\n5. Substitute g = x + 1 to t, which gives t = x + 59.\n6. Substitute x = 20 to t, which gives t = 79.\n\nThus, the final answer is t = \\boxed{79}.",
"index": 5877,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 1; g = x + 1; n = d + 7; w = e + 6; v = q + 17; q = x + 15; t = a + 1; f = i + 7; x = 20; u = w + 19; a = u + 15; e = g + 17; i = n + 16. If x = 20, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 6", "p": "k + 2", "s": "p + 4", "x": "s + 5", "w": "x + 18", "y": "w + 15", "i": "f + 4", "a": "i + 6", "e": "a + 18", "z": "e + 5", "d": "z + 2", "b": "d + 19", "f": 10}, "premises": {"f": 10}, "target": "y"}, "answer": {"steps": [["w", "x + 18", "x + 33"], ["x", "s + 5", "s + 38"], ["s", "p + 4", "p + 42"], ["p", "k + 2", "k + 44"], ["k", "f + 6", "f + 50"], ["f", 10, "60"]], "target_var_name": "y", "target_value": 60, "value_dict": {"f": 10}, "is_reverse": true}} | 5,878 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = f + 4; w = x + 18; b = d + 19; s = p + 4; x = s + 5; f = 10; d = z + 2; a = i + 6; e = a + 18; p = k + 2; k = f + 6; y = w + 15; z = e + 5. If f = 10, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 18 to y, which gives y = x + 33.\n2. Substitute x = s + 5 to y, which gives y = s + 38.\n3. Substitute s = p + 4 to y, which gives y = p + 42.\n4. Substitute p = k + 2 to y, which gives y = k + 44.\n5. Substitute k = f + 6 to y, which gives y = f + 50.\n6. Substitute f = 10 to y, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 5878,
"question": "Consider a system of variables where each variable is defined as follows: i = f + 4; w = x + 18; b = d + 19; s = p + 4; x = s + 5; f = 10; d = z + 2; a = i + 6; e = a + 18; p = k + 2; k = f + 6; y = w + 15; z = e + 5. If f = 10, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 7", "t": "v + 18", "g": "t + 12", "r": "g + 5", "z": "r + 18", "a": "z + 11", "q": "l + 10", "h": "q + 10", "k": "h + 3", "s": "k + 20", "u": "s + 1", "y": "u + 9", "l": 18}, "premises": {"l": 18}, "target": "a"}, "answer": {"steps": [["z", "r + 18", "r + 29"], ["r", "g + 5", "g + 34"], ["g", "t + 12", "t + 46"], ["t", "v + 18", "v + 64"], ["v", "l + 7", "l + 71"], ["l", 18, "89"]], "target_var_name": "a", "target_value": 89, "value_dict": {"l": 18}, "is_reverse": true}} | 5,879 | 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 = h + 3; t = v + 18; v = l + 7; u = s + 1; h = q + 10; g = t + 12; a = z + 11; l = 18; s = k + 20; y = u + 9; r = g + 5; z = r + 18; q = l + 10. If l = 18, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 18 to a, which gives a = r + 29.\n2. Substitute r = g + 5 to a, which gives a = g + 34.\n3. Substitute g = t + 12 to a, which gives a = t + 46.\n4. Substitute t = v + 18 to a, which gives a = v + 64.\n5. Substitute v = l + 7 to a, which gives a = l + 71.\n6. Substitute l = 18 to a, which gives a = 89.\n\nThus, the final answer is a = \\boxed{89}.",
"index": 5879,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = h + 3; t = v + 18; v = l + 7; u = s + 1; h = q + 10; g = t + 12; a = z + 11; l = 18; s = k + 20; y = u + 9; r = g + 5; z = r + 18; q = l + 10. If l = 18, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 2", "o": "p + 3", "v": "o + 3", "k": "v + 6", "e": "k + 19", "m": "e + 7", "c": "h + 12", "l": "c + 1", "w": "l + 18", "y": "w + 17", "j": "y + 13", "r": "j + 6", "h": 17}, "premises": {"h": 17}, "target": "m"}, "answer": {"steps": [["e", "k + 19", "k + 26"], ["k", "v + 6", "v + 32"], ["v", "o + 3", "o + 35"], ["o", "p + 3", "p + 38"], ["p", "h + 2", "h + 40"], ["h", 17, "57"]], "target_var_name": "m", "target_value": 57, "value_dict": {"h": 17}, "is_reverse": true}} | 5,880 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = o + 3; k = v + 6; e = k + 19; o = p + 3; r = j + 6; l = c + 1; p = h + 2; c = h + 12; y = w + 17; w = l + 18; j = y + 13; m = e + 7; h = 17. If h = 17, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 19 to m, which gives m = k + 26.\n2. Substitute k = v + 6 to m, which gives m = v + 32.\n3. Substitute v = o + 3 to m, which gives m = o + 35.\n4. Substitute o = p + 3 to m, which gives m = p + 38.\n5. Substitute p = h + 2 to m, which gives m = h + 40.\n6. Substitute h = 17 to m, which gives m = 57.\n\nThus, the final answer is m = \\boxed{57}.",
"index": 5880,
"question": "Consider a system of variables where each variable is defined as follows: v = o + 3; k = v + 6; e = k + 19; o = p + 3; r = j + 6; l = c + 1; p = h + 2; c = h + 12; y = w + 17; w = l + 18; j = y + 13; m = e + 7; h = 17. If h = 17, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 17", "s": "n + 9", "p": "s + 3", "j": "p + 3", "t": "j + 11", "h": "t + 18", "d": "c + 5", "l": "d + 10", "b": "l + 2", "m": "b + 5", "x": "m + 9", "o": "x + 13", "c": 18}, "premises": {"c": 18}, "target": "h"}, "answer": {"steps": [["t", "j + 11", "j + 29"], ["j", "p + 3", "p + 32"], ["p", "s + 3", "s + 35"], ["s", "n + 9", "n + 44"], ["n", "c + 17", "c + 61"], ["c", 18, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"c": 18}, "is_reverse": true}} | 5,881 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = c + 17; m = b + 5; x = m + 9; l = d + 10; c = 18; s = n + 9; b = l + 2; o = x + 13; t = j + 11; h = t + 18; d = c + 5; p = s + 3; j = p + 3. If c = 18, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 11 to h, which gives h = j + 29.\n2. Substitute j = p + 3 to h, which gives h = p + 32.\n3. Substitute p = s + 3 to h, which gives h = s + 35.\n4. Substitute s = n + 9 to h, which gives h = n + 44.\n5. Substitute n = c + 17 to h, which gives h = c + 61.\n6. Substitute c = 18 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 5881,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = c + 17; m = b + 5; x = m + 9; l = d + 10; c = 18; s = n + 9; b = l + 2; o = x + 13; t = j + 11; h = t + 18; d = c + 5; p = s + 3; j = p + 3. If c = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 5", "r": "v + 1", "e": "r + 6", "i": "e + 8", "c": "i + 16", "b": "c + 9", "z": "l + 10", "a": "z + 7", "f": "a + 17", "n": "f + 6", "g": "n + 9", "h": "g + 13", "l": 2}, "premises": {"l": 2}, "target": "b"}, "answer": {"steps": [["c", "i + 16", "i + 25"], ["i", "e + 8", "e + 33"], ["e", "r + 6", "r + 39"], ["r", "v + 1", "v + 40"], ["v", "l + 5", "l + 45"], ["l", 2, "47"]], "target_var_name": "b", "target_value": 47, "value_dict": {"l": 2}, "is_reverse": true}} | 5,882 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = n + 9; r = v + 1; i = e + 8; e = r + 6; v = l + 5; f = a + 17; l = 2; a = z + 7; n = f + 6; b = c + 9; c = i + 16; z = l + 10; h = g + 13. If l = 2, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 16 to b, which gives b = i + 25.\n2. Substitute i = e + 8 to b, which gives b = e + 33.\n3. Substitute e = r + 6 to b, which gives b = r + 39.\n4. Substitute r = v + 1 to b, which gives b = v + 40.\n5. Substitute v = l + 5 to b, which gives b = l + 45.\n6. Substitute l = 2 to b, which gives b = 47.\n\nThus, the final answer is b = \\boxed{47}.",
"index": 5882,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = n + 9; r = v + 1; i = e + 8; e = r + 6; v = l + 5; f = a + 17; l = 2; a = z + 7; n = f + 6; b = c + 9; c = i + 16; z = l + 10; h = g + 13. If l = 2, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"u": "a + 18", "l": "u + 6", "m": "l + 14", "x": "m + 18", "f": "x + 3", "w": "f + 6", "k": "a + 12", "i": "k + 1", "v": "i + 3", "p": "v + 19", "e": "p + 2", "r": "e + 15", "a": 17}, "premises": {"a": 17}, "target": "w"}, "answer": {"steps": [["f", "x + 3", "x + 9"], ["x", "m + 18", "m + 27"], ["m", "l + 14", "l + 41"], ["l", "u + 6", "u + 47"], ["u", "a + 18", "a + 65"], ["a", 17, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"a": 17}, "is_reverse": true}} | 5,883 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = v + 19; r = e + 15; i = k + 1; k = a + 12; v = i + 3; e = p + 2; f = x + 3; l = u + 6; w = f + 6; m = l + 14; x = m + 18; a = 17; u = a + 18. If a = 17, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 3 to w, which gives w = x + 9.\n2. Substitute x = m + 18 to w, which gives w = m + 27.\n3. Substitute m = l + 14 to w, which gives w = l + 41.\n4. Substitute l = u + 6 to w, which gives w = u + 47.\n5. Substitute u = a + 18 to w, which gives w = a + 65.\n6. Substitute a = 17 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 5883,
"question": "Consider a system of variables where each variable is defined as follows: p = v + 19; r = e + 15; i = k + 1; k = a + 12; v = i + 3; e = p + 2; f = x + 3; l = u + 6; w = f + 6; m = l + 14; x = m + 18; a = 17; u = a + 18. If a = 17, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 3", "j": "n + 4", "t": "j + 3", "s": "t + 6", "p": "s + 4", "u": "p + 13", "a": "b + 11", "c": "a + 7", "l": "c + 3", "k": "l + 8", "f": "k + 12", "r": "f + 13", "b": 9}, "premises": {"b": 9}, "target": "u"}, "answer": {"steps": [["p", "s + 4", "s + 17"], ["s", "t + 6", "t + 23"], ["t", "j + 3", "j + 26"], ["j", "n + 4", "n + 30"], ["n", "b + 3", "b + 33"], ["b", 9, "42"]], "target_var_name": "u", "target_value": 42, "value_dict": {"b": 9}, "is_reverse": true}} | 5,884 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = s + 4; f = k + 12; b = 9; s = t + 6; a = b + 11; l = c + 3; t = j + 3; k = l + 8; u = p + 13; n = b + 3; r = f + 13; j = n + 4; c = a + 7. If b = 9, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 4 to u, which gives u = s + 17.\n2. Substitute s = t + 6 to u, which gives u = t + 23.\n3. Substitute t = j + 3 to u, which gives u = j + 26.\n4. Substitute j = n + 4 to u, which gives u = n + 30.\n5. Substitute n = b + 3 to u, which gives u = b + 33.\n6. Substitute b = 9 to u, which gives u = 42.\n\nThus, the final answer is u = \\boxed{42}.",
"index": 5884,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = s + 4; f = k + 12; b = 9; s = t + 6; a = b + 11; l = c + 3; t = j + 3; k = l + 8; u = p + 13; n = b + 3; r = f + 13; j = n + 4; c = a + 7. If b = 9, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 9", "d": "h + 15", "a": "d + 14", "p": "a + 11", "o": "p + 20", "n": "o + 18", "k": "t + 15", "c": "k + 4", "w": "c + 10", "z": "w + 12", "r": "z + 8", "l": "r + 18", "t": 4}, "premises": {"t": 4}, "target": "n"}, "answer": {"steps": [["o", "p + 20", "p + 38"], ["p", "a + 11", "a + 49"], ["a", "d + 14", "d + 63"], ["d", "h + 15", "h + 78"], ["h", "t + 9", "t + 87"], ["t", 4, "91"]], "target_var_name": "n", "target_value": 91, "value_dict": {"t": 4}, "is_reverse": true}} | 5,885 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = o + 18; p = a + 11; w = c + 10; l = r + 18; a = d + 14; z = w + 12; t = 4; c = k + 4; r = z + 8; h = t + 9; o = p + 20; k = t + 15; d = h + 15. Given that t = 4, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 20 to n, which gives n = p + 38.\n2. Substitute p = a + 11 to n, which gives n = a + 49.\n3. Substitute a = d + 14 to n, which gives n = d + 63.\n4. Substitute d = h + 15 to n, which gives n = h + 78.\n5. Substitute h = t + 9 to n, which gives n = t + 87.\n6. Substitute t = 4 to n, which gives n = 91.\n\nThus, the final answer is n = \\boxed{91}.",
"index": 5885,
"question": "Suppose a collection of variables is related by the following definitions: n = o + 18; p = a + 11; w = c + 10; l = r + 18; a = d + 14; z = w + 12; t = 4; c = k + 4; r = z + 8; h = t + 9; o = p + 20; k = t + 15; d = h + 15. Given that t = 4, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 16", "r": "o + 16", "v": "r + 8", "u": "v + 14", "q": "u + 12", "z": "q + 6", "s": "e + 3", "d": "s + 12", "l": "d + 6", "g": "l + 18", "h": "g + 4", "n": "h + 5", "e": 11}, "premises": {"e": 11}, "target": "z"}, "answer": {"steps": [["q", "u + 12", "u + 18"], ["u", "v + 14", "v + 32"], ["v", "r + 8", "r + 40"], ["r", "o + 16", "o + 56"], ["o", "e + 16", "e + 72"], ["e", 11, "83"]], "target_var_name": "z", "target_value": 83, "value_dict": {"e": 11}, "is_reverse": true}} | 5,886 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = r + 8; s = e + 3; o = e + 16; n = h + 5; d = s + 12; u = v + 14; g = l + 18; r = o + 16; h = g + 4; z = q + 6; q = u + 12; e = 11; l = d + 6. Given that e = 11, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 12 to z, which gives z = u + 18.\n2. Substitute u = v + 14 to z, which gives z = v + 32.\n3. Substitute v = r + 8 to z, which gives z = r + 40.\n4. Substitute r = o + 16 to z, which gives z = o + 56.\n5. Substitute o = e + 16 to z, which gives z = e + 72.\n6. Substitute e = 11 to z, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 5886,
"question": "Suppose a collection of variables is related by the following definitions: v = r + 8; s = e + 3; o = e + 16; n = h + 5; d = s + 12; u = v + 14; g = l + 18; r = o + 16; h = g + 4; z = q + 6; q = u + 12; e = 11; l = d + 6. Given that e = 11, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 16", "f": "s + 1", "o": "f + 2", "j": "o + 10", "q": "j + 13", "x": "q + 2", "r": "t + 14", "v": "r + 18", "k": "v + 1", "n": "k + 4", "e": "n + 14", "z": "e + 14", "t": 8}, "premises": {"t": 8}, "target": "x"}, "answer": {"steps": [["q", "j + 13", "j + 15"], ["j", "o + 10", "o + 25"], ["o", "f + 2", "f + 27"], ["f", "s + 1", "s + 28"], ["s", "t + 16", "t + 44"], ["t", 8, "52"]], "target_var_name": "x", "target_value": 52, "value_dict": {"t": 8}, "is_reverse": true}} | 5,887 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = q + 2; q = j + 13; z = e + 14; n = k + 4; e = n + 14; t = 8; k = v + 1; r = t + 14; v = r + 18; o = f + 2; f = s + 1; s = t + 16; j = o + 10. If t = 8, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 13 to x, which gives x = j + 15.\n2. Substitute j = o + 10 to x, which gives x = o + 25.\n3. Substitute o = f + 2 to x, which gives x = f + 27.\n4. Substitute f = s + 1 to x, which gives x = s + 28.\n5. Substitute s = t + 16 to x, which gives x = t + 44.\n6. Substitute t = 8 to x, which gives x = 52.\n\nThus, the final answer is x = \\boxed{52}.",
"index": 5887,
"question": "Consider a system of variables where each variable is defined as follows: x = q + 2; q = j + 13; z = e + 14; n = k + 4; e = n + 14; t = 8; k = v + 1; r = t + 14; v = r + 18; o = f + 2; f = s + 1; s = t + 16; j = o + 10. If t = 8, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 3", "i": "k + 5", "c": "i + 15", "n": "c + 9", "m": "n + 20", "a": "m + 16", "z": "y + 18", "d": "z + 7", "t": "d + 9", "f": "t + 7", "j": "f + 1", "h": "j + 15", "y": 10}, "premises": {"y": 10}, "target": "a"}, "answer": {"steps": [["m", "n + 20", "n + 36"], ["n", "c + 9", "c + 45"], ["c", "i + 15", "i + 60"], ["i", "k + 5", "k + 65"], ["k", "y + 3", "y + 68"], ["y", 10, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"y": 10}, "is_reverse": true}} | 5,888 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = c + 9; d = z + 7; i = k + 5; t = d + 9; h = j + 15; a = m + 16; c = i + 15; y = 10; m = n + 20; z = y + 18; f = t + 7; j = f + 1; k = y + 3. If y = 10, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 20 to a, which gives a = n + 36.\n2. Substitute n = c + 9 to a, which gives a = c + 45.\n3. Substitute c = i + 15 to a, which gives a = i + 60.\n4. Substitute i = k + 5 to a, which gives a = k + 65.\n5. Substitute k = y + 3 to a, which gives a = y + 68.\n6. Substitute y = 10 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 5888,
"question": "Consider a system of variables where each variable is defined as follows: n = c + 9; d = z + 7; i = k + 5; t = d + 9; h = j + 15; a = m + 16; c = i + 15; y = 10; m = n + 20; z = y + 18; f = t + 7; j = f + 1; k = y + 3. If y = 10, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"m": "x + 20", "c": "m + 6", "t": "c + 4", "y": "t + 20", "r": "y + 16", "n": "r + 15", "s": "x + 19", "d": "s + 17", "k": "d + 12", "j": "k + 20", "z": "j + 18", "v": "z + 19", "x": 5}, "premises": {"x": 5}, "target": "n"}, "answer": {"steps": [["r", "y + 16", "y + 31"], ["y", "t + 20", "t + 51"], ["t", "c + 4", "c + 55"], ["c", "m + 6", "m + 61"], ["m", "x + 20", "x + 81"], ["x", 5, "86"]], "target_var_name": "n", "target_value": 86, "value_dict": {"x": 5}, "is_reverse": true}} | 5,889 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = x + 19; d = s + 17; m = x + 20; k = d + 12; y = t + 20; z = j + 18; v = z + 19; t = c + 4; c = m + 6; n = r + 15; j = k + 20; x = 5; r = y + 16. Given that x = 5, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 16 to n, which gives n = y + 31.\n2. Substitute y = t + 20 to n, which gives n = t + 51.\n3. Substitute t = c + 4 to n, which gives n = c + 55.\n4. Substitute c = m + 6 to n, which gives n = m + 61.\n5. Substitute m = x + 20 to n, which gives n = x + 81.\n6. Substitute x = 5 to n, which gives n = 86.\n\nThus, the final answer is n = \\boxed{86}.",
"index": 5889,
"question": "Suppose a collection of variables is related by the following definitions: s = x + 19; d = s + 17; m = x + 20; k = d + 12; y = t + 20; z = j + 18; v = z + 19; t = c + 4; c = m + 6; n = r + 15; j = k + 20; x = 5; r = y + 16. Given that x = 5, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 17", "h": "p + 3", "w": "h + 16", "u": "w + 11", "n": "u + 6", "z": "n + 13", "j": "s + 20", "i": "j + 8", "q": "i + 18", "o": "q + 4", "f": "o + 6", "y": "f + 10", "s": 14}, "premises": {"s": 14}, "target": "z"}, "answer": {"steps": [["n", "u + 6", "u + 19"], ["u", "w + 11", "w + 30"], ["w", "h + 16", "h + 46"], ["h", "p + 3", "p + 49"], ["p", "s + 17", "s + 66"], ["s", 14, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"s": 14}, "is_reverse": true}} | 5,890 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = w + 11; z = n + 13; f = o + 6; i = j + 8; y = f + 10; j = s + 20; p = s + 17; o = q + 4; n = u + 6; w = h + 16; q = i + 18; h = p + 3; s = 14. Given that s = 14, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 6 to z, which gives z = u + 19.\n2. Substitute u = w + 11 to z, which gives z = w + 30.\n3. Substitute w = h + 16 to z, which gives z = h + 46.\n4. Substitute h = p + 3 to z, which gives z = p + 49.\n5. Substitute p = s + 17 to z, which gives z = s + 66.\n6. Substitute s = 14 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 5890,
"question": "Suppose a collection of variables is related by the following definitions: u = w + 11; z = n + 13; f = o + 6; i = j + 8; y = f + 10; j = s + 20; p = s + 17; o = q + 4; n = u + 6; w = h + 16; q = i + 18; h = p + 3; s = 14. Given that s = 14, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 17", "w": "n + 6", "e": "w + 19", "k": "e + 16", "a": "k + 4", "j": "a + 12", "r": "t + 10", "m": "r + 1", "l": "m + 13", "s": "l + 5", "u": "s + 1", "v": "u + 3", "t": 15}, "premises": {"t": 15}, "target": "j"}, "answer": {"steps": [["a", "k + 4", "k + 16"], ["k", "e + 16", "e + 32"], ["e", "w + 19", "w + 51"], ["w", "n + 6", "n + 57"], ["n", "t + 17", "t + 74"], ["t", 15, "89"]], "target_var_name": "j", "target_value": 89, "value_dict": {"t": 15}, "is_reverse": true}} | 5,891 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = l + 5; u = s + 1; j = a + 12; m = r + 1; v = u + 3; e = w + 19; a = k + 4; l = m + 13; k = e + 16; n = t + 17; t = 15; r = t + 10; w = n + 6. If t = 15, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 4 to j, which gives j = k + 16.\n2. Substitute k = e + 16 to j, which gives j = e + 32.\n3. Substitute e = w + 19 to j, which gives j = w + 51.\n4. Substitute w = n + 6 to j, which gives j = n + 57.\n5. Substitute n = t + 17 to j, which gives j = t + 74.\n6. Substitute t = 15 to j, which gives j = 89.\n\nThus, the final answer is j = \\boxed{89}.",
"index": 5891,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = l + 5; u = s + 1; j = a + 12; m = r + 1; v = u + 3; e = w + 19; a = k + 4; l = m + 13; k = e + 16; n = t + 17; t = 15; r = t + 10; w = n + 6. If t = 15, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 20", "t": "y + 15", "p": "t + 18", "m": "p + 8", "l": "m + 7", "n": "l + 4", "h": "b + 2", "j": "h + 13", "w": "j + 11", "q": "w + 19", "i": "q + 15", "r": "i + 20", "b": 8}, "premises": {"b": 8}, "target": "n"}, "answer": {"steps": [["l", "m + 7", "m + 11"], ["m", "p + 8", "p + 19"], ["p", "t + 18", "t + 37"], ["t", "y + 15", "y + 52"], ["y", "b + 20", "b + 72"], ["b", 8, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"b": 8}, "is_reverse": true}} | 5,892 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = j + 11; t = y + 15; p = t + 18; y = b + 20; n = l + 4; r = i + 20; j = h + 13; b = 8; i = q + 15; q = w + 19; h = b + 2; l = m + 7; m = p + 8. Given that b = 8, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 7 to n, which gives n = m + 11.\n2. Substitute m = p + 8 to n, which gives n = p + 19.\n3. Substitute p = t + 18 to n, which gives n = t + 37.\n4. Substitute t = y + 15 to n, which gives n = y + 52.\n5. Substitute y = b + 20 to n, which gives n = b + 72.\n6. Substitute b = 8 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 5892,
"question": "Suppose a collection of variables is related by the following definitions: w = j + 11; t = y + 15; p = t + 18; y = b + 20; n = l + 4; r = i + 20; j = h + 13; b = 8; i = q + 15; q = w + 19; h = b + 2; l = m + 7; m = p + 8. Given that b = 8, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 13", "d": "w + 17", "n": "d + 2", "e": "n + 8", "p": "e + 1", "m": "p + 14", "f": "l + 13", "v": "f + 13", "i": "v + 10", "b": "i + 10", "t": "b + 16", "j": "t + 6", "l": 3}, "premises": {"l": 3}, "target": "m"}, "answer": {"steps": [["p", "e + 1", "e + 15"], ["e", "n + 8", "n + 23"], ["n", "d + 2", "d + 25"], ["d", "w + 17", "w + 42"], ["w", "l + 13", "l + 55"], ["l", 3, "58"]], "target_var_name": "m", "target_value": 58, "value_dict": {"l": 3}, "is_reverse": true}} | 5,893 | 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 = v + 10; n = d + 2; w = l + 13; e = n + 8; d = w + 17; m = p + 14; b = i + 10; v = f + 13; p = e + 1; l = 3; j = t + 6; t = b + 16; f = l + 13. If l = 3, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 1 to m, which gives m = e + 15.\n2. Substitute e = n + 8 to m, which gives m = n + 23.\n3. Substitute n = d + 2 to m, which gives m = d + 25.\n4. Substitute d = w + 17 to m, which gives m = w + 42.\n5. Substitute w = l + 13 to m, which gives m = l + 55.\n6. Substitute l = 3 to m, which gives m = 58.\n\nThus, the final answer is m = \\boxed{58}.",
"index": 5893,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = v + 10; n = d + 2; w = l + 13; e = n + 8; d = w + 17; m = p + 14; b = i + 10; v = f + 13; p = e + 1; l = 3; j = t + 6; t = b + 16; f = l + 13. If l = 3, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 18", "p": "r + 9", "n": "p + 17", "d": "n + 20", "m": "d + 8", "a": "m + 4", "o": "h + 5", "c": "o + 4", "e": "c + 20", "b": "e + 9", "f": "b + 10", "i": "f + 13", "h": 15}, "premises": {"h": 15}, "target": "a"}, "answer": {"steps": [["m", "d + 8", "d + 12"], ["d", "n + 20", "n + 32"], ["n", "p + 17", "p + 49"], ["p", "r + 9", "r + 58"], ["r", "h + 18", "h + 76"], ["h", 15, "91"]], "target_var_name": "a", "target_value": 91, "value_dict": {"h": 15}, "is_reverse": true}} | 5,894 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = 15; c = o + 4; f = b + 10; b = e + 9; m = d + 8; i = f + 13; d = n + 20; e = c + 20; p = r + 9; r = h + 18; a = m + 4; o = h + 5; n = p + 17. If h = 15, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 8 to a, which gives a = d + 12.\n2. Substitute d = n + 20 to a, which gives a = n + 32.\n3. Substitute n = p + 17 to a, which gives a = p + 49.\n4. Substitute p = r + 9 to a, which gives a = r + 58.\n5. Substitute r = h + 18 to a, which gives a = h + 76.\n6. Substitute h = 15 to a, which gives a = 91.\n\nThus, the final answer is a = \\boxed{91}.",
"index": 5894,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 15; c = o + 4; f = b + 10; b = e + 9; m = d + 8; i = f + 13; d = n + 20; e = c + 20; p = r + 9; r = h + 18; a = m + 4; o = h + 5; n = p + 17. If h = 15, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 6", "j": "z + 14", "r": "j + 7", "h": "r + 17", "n": "h + 15", "b": "n + 4", "g": "l + 3", "x": "g + 11", "p": "x + 18", "k": "p + 18", "e": "k + 3", "s": "e + 6", "l": 19}, "premises": {"l": 19}, "target": "b"}, "answer": {"steps": [["n", "h + 15", "h + 19"], ["h", "r + 17", "r + 36"], ["r", "j + 7", "j + 43"], ["j", "z + 14", "z + 57"], ["z", "l + 6", "l + 63"], ["l", 19, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"l": 19}, "is_reverse": true}} | 5,895 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = n + 4; l = 19; j = z + 14; r = j + 7; h = r + 17; n = h + 15; e = k + 3; x = g + 11; k = p + 18; p = x + 18; s = e + 6; g = l + 3; z = l + 6. If l = 19, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 15 to b, which gives b = h + 19.\n2. Substitute h = r + 17 to b, which gives b = r + 36.\n3. Substitute r = j + 7 to b, which gives b = j + 43.\n4. Substitute j = z + 14 to b, which gives b = z + 57.\n5. Substitute z = l + 6 to b, which gives b = l + 63.\n6. Substitute l = 19 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 5895,
"question": "Consider a system of variables where each variable is defined as follows: b = n + 4; l = 19; j = z + 14; r = j + 7; h = r + 17; n = h + 15; e = k + 3; x = g + 11; k = p + 18; p = x + 18; s = e + 6; g = l + 3; z = l + 6. If l = 19, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 16", "m": "t + 3", "i": "m + 14", "q": "i + 8", "j": "q + 11", "x": "j + 15", "o": "p + 9", "c": "o + 13", "h": "c + 15", "d": "h + 18", "u": "d + 18", "g": "u + 20", "p": 13}, "premises": {"p": 13}, "target": "x"}, "answer": {"steps": [["j", "q + 11", "q + 26"], ["q", "i + 8", "i + 34"], ["i", "m + 14", "m + 48"], ["m", "t + 3", "t + 51"], ["t", "p + 16", "p + 67"], ["p", 13, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"p": 13}, "is_reverse": true}} | 5,896 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 16; j = q + 11; x = j + 15; h = c + 15; p = 13; o = p + 9; c = o + 13; i = m + 14; q = i + 8; d = h + 18; u = d + 18; m = t + 3; g = u + 20. If p = 13, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 11 to x, which gives x = q + 26.\n2. Substitute q = i + 8 to x, which gives x = i + 34.\n3. Substitute i = m + 14 to x, which gives x = m + 48.\n4. Substitute m = t + 3 to x, which gives x = t + 51.\n5. Substitute t = p + 16 to x, which gives x = p + 67.\n6. Substitute p = 13 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 5896,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 16; j = q + 11; x = j + 15; h = c + 15; p = 13; o = p + 9; c = o + 13; i = m + 14; q = i + 8; d = h + 18; u = d + 18; m = t + 3; g = u + 20. If p = 13, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"o": "z + 14", "i": "o + 3", "t": "i + 8", "u": "t + 19", "x": "u + 13", "k": "x + 16", "y": "z + 8", "c": "y + 18", "w": "c + 14", "a": "w + 3", "g": "a + 3", "f": "g + 6", "z": 19}, "premises": {"z": 19}, "target": "k"}, "answer": {"steps": [["x", "u + 13", "u + 29"], ["u", "t + 19", "t + 48"], ["t", "i + 8", "i + 56"], ["i", "o + 3", "o + 59"], ["o", "z + 14", "z + 73"], ["z", 19, "92"]], "target_var_name": "k", "target_value": 92, "value_dict": {"z": 19}, "is_reverse": true}} | 5,897 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = w + 3; u = t + 19; z = 19; k = x + 16; y = z + 8; x = u + 13; o = z + 14; f = g + 6; i = o + 3; t = i + 8; g = a + 3; c = y + 18; w = c + 14. Given that z = 19, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 13 to k, which gives k = u + 29.\n2. Substitute u = t + 19 to k, which gives k = t + 48.\n3. Substitute t = i + 8 to k, which gives k = i + 56.\n4. Substitute i = o + 3 to k, which gives k = o + 59.\n5. Substitute o = z + 14 to k, which gives k = z + 73.\n6. Substitute z = 19 to k, which gives k = 92.\n\nThus, the final answer is k = \\boxed{92}.",
"index": 5897,
"question": "Suppose a collection of variables is related by the following definitions: a = w + 3; u = t + 19; z = 19; k = x + 16; y = z + 8; x = u + 13; o = z + 14; f = g + 6; i = o + 3; t = i + 8; g = a + 3; c = y + 18; w = c + 14. Given that z = 19, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"h": "i + 12", "e": "h + 19", "g": "e + 10", "x": "g + 18", "t": "x + 20", "o": "t + 12", "c": "i + 1", "u": "c + 13", "m": "u + 17", "n": "m + 9", "q": "n + 2", "p": "q + 3", "i": 17}, "premises": {"i": 17}, "target": "o"}, "answer": {"steps": [["t", "x + 20", "x + 32"], ["x", "g + 18", "g + 50"], ["g", "e + 10", "e + 60"], ["e", "h + 19", "h + 79"], ["h", "i + 12", "i + 91"], ["i", 17, "108"]], "target_var_name": "o", "target_value": 108, "value_dict": {"i": 17}, "is_reverse": true}} | 5,898 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = g + 18; i = 17; e = h + 19; u = c + 13; m = u + 17; p = q + 3; o = t + 12; g = e + 10; c = i + 1; n = m + 9; h = i + 12; q = n + 2; t = x + 20. Given that i = 17, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 20 to o, which gives o = x + 32.\n2. Substitute x = g + 18 to o, which gives o = g + 50.\n3. Substitute g = e + 10 to o, which gives o = e + 60.\n4. Substitute e = h + 19 to o, which gives o = h + 79.\n5. Substitute h = i + 12 to o, which gives o = i + 91.\n6. Substitute i = 17 to o, which gives o = 108.\n\nThus, the final answer is o = \\boxed{108}.",
"index": 5898,
"question": "Suppose a collection of variables is related by the following definitions: x = g + 18; i = 17; e = h + 19; u = c + 13; m = u + 17; p = q + 3; o = t + 12; g = e + 10; c = i + 1; n = m + 9; h = i + 12; q = n + 2; t = x + 20. Given that i = 17, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 20", "l": "m + 2", "k": "l + 13", "c": "k + 19", "q": "c + 18", "z": "q + 16", "h": "w + 17", "e": "h + 3", "r": "e + 16", "u": "r + 14", "t": "u + 15", "p": "t + 11", "w": 5}, "premises": {"w": 5}, "target": "z"}, "answer": {"steps": [["q", "c + 18", "c + 34"], ["c", "k + 19", "k + 53"], ["k", "l + 13", "l + 66"], ["l", "m + 2", "m + 68"], ["m", "w + 20", "w + 88"], ["w", 5, "93"]], "target_var_name": "z", "target_value": 93, "value_dict": {"w": 5}, "is_reverse": true}} | 5,899 | 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 = 5; m = w + 20; t = u + 15; q = c + 18; l = m + 2; c = k + 19; p = t + 11; r = e + 16; z = q + 16; h = w + 17; u = r + 14; k = l + 13; e = h + 3. If w = 5, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 18 to z, which gives z = c + 34.\n2. Substitute c = k + 19 to z, which gives z = k + 53.\n3. Substitute k = l + 13 to z, which gives z = l + 66.\n4. Substitute l = m + 2 to z, which gives z = m + 68.\n5. Substitute m = w + 20 to z, which gives z = w + 88.\n6. Substitute w = 5 to z, which gives z = 93.\n\nThus, the final answer is z = \\boxed{93}.",
"index": 5899,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 5; m = w + 20; t = u + 15; q = c + 18; l = m + 2; c = k + 19; p = t + 11; r = e + 16; z = q + 16; h = w + 17; u = r + 14; k = l + 13; e = h + 3. If w = 5, what is the resulting value of z?",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.