meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"i": "h + 16", "a": "i + 11", "q": "a + 6", "z": "q + 18", "u": "z + 16", "j": "u + 15", "b": "h + 18", "d": "b + 1", "s": "d + 8", "e": "s + 10", "v": "e + 4", "m": "v + 3", "h": 14}, "premises": {"h": 14}, "target": "j"}, "answer": {"steps": [["u", "z + 16", "z + 31"], ["z", "q + 18", "q + 49"], ["q", "a + 6", "a + 55"], ["a", "i + 11", "i + 66"], ["i", "h + 16", "h + 82"], ["h", 14, "96"]], "target_var_name": "j", "target_value": 96, "value_dict": {"h": 14}, "is_reverse": true}} | 7,300 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = 14; d = b + 1; u = z + 16; v = e + 4; b = h + 18; i = h + 16; s = d + 8; j = u + 15; a = i + 11; m = v + 3; q = a + 6; z = q + 18; e = s + 10. If h = 14, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 16 to j, which gives j = z + 31.\n2. Substitute z = q + 18 to j, which gives j = q + 49.\n3. Substitute q = a + 6 to j, which gives j = a + 55.\n4. Substitute a = i + 11 to j, which gives j = i + 66.\n5. Substitute i = h + 16 to j, which gives j = h + 82.\n6. Substitute h = 14 to j, which gives j = 96.\n\nThus, the final answer is j = \\boxed{96}.",
"index": 7300,
"question": "Consider a system of variables where each variable is defined as follows: h = 14; d = b + 1; u = z + 16; v = e + 4; b = h + 18; i = h + 16; s = d + 8; j = u + 15; a = i + 11; m = v + 3; q = a + 6; z = q + 18; e = s + 10. If h = 14, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"v": "d + 10", "p": "v + 10", "m": "p + 8", "g": "m + 11", "z": "g + 13", "y": "z + 6", "k": "d + 20", "x": "k + 2", "u": "x + 12", "h": "u + 6", "c": "h + 8", "o": "c + 1", "d": 15}, "premises": {"d": 15}, "target": "y"}, "answer": {"steps": [["z", "g + 13", "g + 19"], ["g", "m + 11", "m + 30"], ["m", "p + 8", "p + 38"], ["p", "v + 10", "v + 48"], ["v", "d + 10", "d + 58"], ["d", 15, "73"]], "target_var_name": "y", "target_value": 73, "value_dict": {"d": 15}, "is_reverse": true}} | 7,301 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = u + 6; u = x + 12; z = g + 13; m = p + 8; x = k + 2; k = d + 20; g = m + 11; v = d + 10; c = h + 8; p = v + 10; d = 15; y = z + 6; o = c + 1. Given that d = 15, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 13 to y, which gives y = g + 19.\n2. Substitute g = m + 11 to y, which gives y = m + 30.\n3. Substitute m = p + 8 to y, which gives y = p + 38.\n4. Substitute p = v + 10 to y, which gives y = v + 48.\n5. Substitute v = d + 10 to y, which gives y = d + 58.\n6. Substitute d = 15 to y, which gives y = 73.\n\nThus, the final answer is y = \\boxed{73}.",
"index": 7301,
"question": "Suppose a collection of variables is related by the following definitions: h = u + 6; u = x + 12; z = g + 13; m = p + 8; x = k + 2; k = d + 20; g = m + 11; v = d + 10; c = h + 8; p = v + 10; d = 15; y = z + 6; o = c + 1. Given that d = 15, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 1", "m": "g + 14", "r": "m + 2", "f": "r + 16", "e": "f + 17", "t": "e + 2", "z": "n + 9", "x": "z + 5", "l": "x + 11", "a": "l + 11", "p": "a + 1", "j": "p + 11", "n": 10}, "premises": {"n": 10}, "target": "t"}, "answer": {"steps": [["e", "f + 17", "f + 19"], ["f", "r + 16", "r + 35"], ["r", "m + 2", "m + 37"], ["m", "g + 14", "g + 51"], ["g", "n + 1", "n + 52"], ["n", 10, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"n": 10}, "is_reverse": true}} | 7,302 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = p + 11; z = n + 9; m = g + 14; n = 10; t = e + 2; l = x + 11; a = l + 11; x = z + 5; g = n + 1; e = f + 17; p = a + 1; f = r + 16; r = m + 2. Given that n = 10, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 17 to t, which gives t = f + 19.\n2. Substitute f = r + 16 to t, which gives t = r + 35.\n3. Substitute r = m + 2 to t, which gives t = m + 37.\n4. Substitute m = g + 14 to t, which gives t = g + 51.\n5. Substitute g = n + 1 to t, which gives t = n + 52.\n6. Substitute n = 10 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 7302,
"question": "Suppose a collection of variables is related by the following definitions: j = p + 11; z = n + 9; m = g + 14; n = 10; t = e + 2; l = x + 11; a = l + 11; x = z + 5; g = n + 1; e = f + 17; p = a + 1; f = r + 16; r = m + 2. Given that n = 10, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 20", "e": "l + 1", "g": "e + 10", "d": "g + 14", "q": "d + 4", "z": "q + 15", "t": "y + 18", "p": "t + 17", "n": "p + 2", "x": "n + 18", "h": "x + 17", "j": "h + 6", "y": 6}, "premises": {"y": 6}, "target": "z"}, "answer": {"steps": [["q", "d + 4", "d + 19"], ["d", "g + 14", "g + 33"], ["g", "e + 10", "e + 43"], ["e", "l + 1", "l + 44"], ["l", "y + 20", "y + 64"], ["y", 6, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"y": 6}, "is_reverse": true}} | 7,303 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 18; h = x + 17; q = d + 4; z = q + 15; n = p + 2; d = g + 14; l = y + 20; p = t + 17; y = 6; j = h + 6; x = n + 18; g = e + 10; e = l + 1. If y = 6, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 4 to z, which gives z = d + 19.\n2. Substitute d = g + 14 to z, which gives z = g + 33.\n3. Substitute g = e + 10 to z, which gives z = e + 43.\n4. Substitute e = l + 1 to z, which gives z = l + 44.\n5. Substitute l = y + 20 to z, which gives z = y + 64.\n6. Substitute y = 6 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 7303,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 18; h = x + 17; q = d + 4; z = q + 15; n = p + 2; d = g + 14; l = y + 20; p = t + 17; y = 6; j = h + 6; x = n + 18; g = e + 10; e = l + 1. If y = 6, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 19", "e": "m + 6", "q": "e + 11", "p": "q + 10", "b": "p + 6", "a": "b + 5", "v": "c + 17", "f": "v + 15", "r": "f + 10", "h": "r + 11", "u": "h + 17", "j": "u + 5", "c": 20}, "premises": {"c": 20}, "target": "a"}, "answer": {"steps": [["b", "p + 6", "p + 11"], ["p", "q + 10", "q + 21"], ["q", "e + 11", "e + 32"], ["e", "m + 6", "m + 38"], ["m", "c + 19", "c + 57"], ["c", 20, "77"]], "target_var_name": "a", "target_value": 77, "value_dict": {"c": 20}, "is_reverse": true}} | 7,304 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = h + 17; r = f + 10; p = q + 10; v = c + 17; a = b + 5; c = 20; b = p + 6; m = c + 19; q = e + 11; f = v + 15; j = u + 5; e = m + 6; h = r + 11. Given that c = 20, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 6 to a, which gives a = p + 11.\n2. Substitute p = q + 10 to a, which gives a = q + 21.\n3. Substitute q = e + 11 to a, which gives a = e + 32.\n4. Substitute e = m + 6 to a, which gives a = m + 38.\n5. Substitute m = c + 19 to a, which gives a = c + 57.\n6. Substitute c = 20 to a, which gives a = 77.\n\nThus, the final answer is a = \\boxed{77}.",
"index": 7304,
"question": "Suppose a collection of variables is related by the following definitions: u = h + 17; r = f + 10; p = q + 10; v = c + 17; a = b + 5; c = 20; b = p + 6; m = c + 19; q = e + 11; f = v + 15; j = u + 5; e = m + 6; h = r + 11. Given that c = 20, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 10", "l": "o + 19", "w": "l + 17", "h": "w + 7", "e": "h + 14", "q": "e + 18", "n": "m + 4", "a": "n + 20", "s": "a + 19", "d": "s + 14", "i": "d + 10", "j": "i + 5", "m": 4}, "premises": {"m": 4}, "target": "q"}, "answer": {"steps": [["e", "h + 14", "h + 32"], ["h", "w + 7", "w + 39"], ["w", "l + 17", "l + 56"], ["l", "o + 19", "o + 75"], ["o", "m + 10", "m + 85"], ["m", 4, "89"]], "target_var_name": "q", "target_value": 89, "value_dict": {"m": 4}, "is_reverse": true}} | 7,305 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = i + 5; d = s + 14; n = m + 4; m = 4; h = w + 7; e = h + 14; q = e + 18; a = n + 20; l = o + 19; s = a + 19; i = d + 10; w = l + 17; o = m + 10. Given that m = 4, find the 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 e = h + 14 to q, which gives q = h + 32.\n2. Substitute h = w + 7 to q, which gives q = w + 39.\n3. Substitute w = l + 17 to q, which gives q = l + 56.\n4. Substitute l = o + 19 to q, which gives q = o + 75.\n5. Substitute o = m + 10 to q, which gives q = m + 85.\n6. Substitute m = 4 to q, which gives q = 89.\n\nThus, the final answer is q = \\boxed{89}.",
"index": 7305,
"question": "Suppose a collection of variables is related by the following definitions: j = i + 5; d = s + 14; n = m + 4; m = 4; h = w + 7; e = h + 14; q = e + 18; a = n + 20; l = o + 19; s = a + 19; i = d + 10; w = l + 17; o = m + 10. Given that m = 4, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"u": "a + 2", "n": "u + 20", "q": "n + 4", "b": "q + 18", "x": "b + 6", "e": "x + 17", "v": "a + 5", "h": "v + 19", "d": "h + 18", "l": "d + 15", "k": "l + 4", "g": "k + 18", "a": 8}, "premises": {"a": 8}, "target": "e"}, "answer": {"steps": [["x", "b + 6", "b + 23"], ["b", "q + 18", "q + 41"], ["q", "n + 4", "n + 45"], ["n", "u + 20", "u + 65"], ["u", "a + 2", "a + 67"], ["a", 8, "75"]], "target_var_name": "e", "target_value": 75, "value_dict": {"a": 8}, "is_reverse": true}} | 7,306 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = d + 15; e = x + 17; h = v + 19; g = k + 18; q = n + 4; d = h + 18; a = 8; k = l + 4; n = u + 20; b = q + 18; x = b + 6; v = a + 5; u = a + 2. Given that a = 8, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 6 to e, which gives e = b + 23.\n2. Substitute b = q + 18 to e, which gives e = q + 41.\n3. Substitute q = n + 4 to e, which gives e = n + 45.\n4. Substitute n = u + 20 to e, which gives e = u + 65.\n5. Substitute u = a + 2 to e, which gives e = a + 67.\n6. Substitute a = 8 to e, which gives e = 75.\n\nThus, the final answer is e = \\boxed{75}.",
"index": 7306,
"question": "Suppose a collection of variables is related by the following definitions: l = d + 15; e = x + 17; h = v + 19; g = k + 18; q = n + 4; d = h + 18; a = 8; k = l + 4; n = u + 20; b = q + 18; x = b + 6; v = a + 5; u = a + 2. Given that a = 8, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 17", "f": "g + 13", "h": "f + 4", "o": "h + 4", "t": "o + 20", "m": "t + 3", "p": "c + 7", "e": "p + 6", "l": "e + 18", "r": "l + 9", "k": "r + 16", "w": "k + 8", "c": 4}, "premises": {"c": 4}, "target": "m"}, "answer": {"steps": [["t", "o + 20", "o + 23"], ["o", "h + 4", "h + 27"], ["h", "f + 4", "f + 31"], ["f", "g + 13", "g + 44"], ["g", "c + 17", "c + 61"], ["c", 4, "65"]], "target_var_name": "m", "target_value": 65, "value_dict": {"c": 4}, "is_reverse": true}} | 7,307 | 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 = c + 7; o = h + 4; h = f + 4; m = t + 3; e = p + 6; r = l + 9; l = e + 18; w = k + 8; f = g + 13; g = c + 17; t = o + 20; c = 4; k = r + 16. If c = 4, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 20 to m, which gives m = o + 23.\n2. Substitute o = h + 4 to m, which gives m = h + 27.\n3. Substitute h = f + 4 to m, which gives m = f + 31.\n4. Substitute f = g + 13 to m, which gives m = g + 44.\n5. Substitute g = c + 17 to m, which gives m = c + 61.\n6. Substitute c = 4 to m, which gives m = 65.\n\nThus, the final answer is m = \\boxed{65}.",
"index": 7307,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = c + 7; o = h + 4; h = f + 4; m = t + 3; e = p + 6; r = l + 9; l = e + 18; w = k + 8; f = g + 13; g = c + 17; t = o + 20; c = 4; k = r + 16. If c = 4, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 1", "t": "a + 4", "h": "t + 14", "r": "h + 10", "g": "r + 13", "i": "g + 6", "z": "j + 1", "f": "z + 8", "w": "f + 20", "d": "w + 18", "s": "d + 6", "k": "s + 15", "j": 6}, "premises": {"j": 6}, "target": "i"}, "answer": {"steps": [["g", "r + 13", "r + 19"], ["r", "h + 10", "h + 29"], ["h", "t + 14", "t + 43"], ["t", "a + 4", "a + 47"], ["a", "j + 1", "j + 48"], ["j", 6, "54"]], "target_var_name": "i", "target_value": 54, "value_dict": {"j": 6}, "is_reverse": true}} | 7,308 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = j + 1; h = t + 14; k = s + 15; s = d + 6; t = a + 4; d = w + 18; r = h + 10; i = g + 6; w = f + 20; g = r + 13; j = 6; z = j + 1; f = z + 8. If j = 6, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 13 to i, which gives i = r + 19.\n2. Substitute r = h + 10 to i, which gives i = h + 29.\n3. Substitute h = t + 14 to i, which gives i = t + 43.\n4. Substitute t = a + 4 to i, which gives i = a + 47.\n5. Substitute a = j + 1 to i, which gives i = j + 48.\n6. Substitute j = 6 to i, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 7308,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = j + 1; h = t + 14; k = s + 15; s = d + 6; t = a + 4; d = w + 18; r = h + 10; i = g + 6; w = f + 20; g = r + 13; j = 6; z = j + 1; f = z + 8. If j = 6, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"n": "s + 6", "a": "n + 8", "o": "a + 20", "c": "o + 9", "g": "c + 5", "q": "g + 12", "j": "s + 6", "d": "j + 8", "z": "d + 20", "l": "z + 20", "f": "l + 18", "e": "f + 11", "s": 9}, "premises": {"s": 9}, "target": "q"}, "answer": {"steps": [["g", "c + 5", "c + 17"], ["c", "o + 9", "o + 26"], ["o", "a + 20", "a + 46"], ["a", "n + 8", "n + 54"], ["n", "s + 6", "s + 60"], ["s", 9, "69"]], "target_var_name": "q", "target_value": 69, "value_dict": {"s": 9}, "is_reverse": true}} | 7,309 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 9; e = f + 11; j = s + 6; l = z + 20; o = a + 20; s = 9; a = n + 8; f = l + 18; q = g + 12; n = s + 6; z = d + 20; d = j + 8; g = c + 5. If s = 9, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 5 to q, which gives q = c + 17.\n2. Substitute c = o + 9 to q, which gives q = o + 26.\n3. Substitute o = a + 20 to q, which gives q = a + 46.\n4. Substitute a = n + 8 to q, which gives q = n + 54.\n5. Substitute n = s + 6 to q, which gives q = s + 60.\n6. Substitute s = 9 to q, which gives q = 69.\n\nThus, the final answer is q = \\boxed{69}.",
"index": 7309,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 9; e = f + 11; j = s + 6; l = z + 20; o = a + 20; s = 9; a = n + 8; f = l + 18; q = g + 12; n = s + 6; z = d + 20; d = j + 8; g = c + 5. If s = 9, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 10", "s": "o + 4", "k": "s + 17", "c": "k + 5", "y": "c + 20", "p": "y + 17", "x": "v + 13", "i": "x + 7", "e": "i + 17", "w": "e + 4", "t": "w + 16", "a": "t + 16", "v": 4}, "premises": {"v": 4}, "target": "p"}, "answer": {"steps": [["y", "c + 20", "c + 37"], ["c", "k + 5", "k + 42"], ["k", "s + 17", "s + 59"], ["s", "o + 4", "o + 63"], ["o", "v + 10", "v + 73"], ["v", 4, "77"]], "target_var_name": "p", "target_value": 77, "value_dict": {"v": 4}, "is_reverse": true}} | 7,310 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 16; y = c + 20; k = s + 17; c = k + 5; v = 4; x = v + 13; p = y + 17; o = v + 10; a = t + 16; s = o + 4; e = i + 17; w = e + 4; i = x + 7. Given that v = 4, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 20 to p, which gives p = c + 37.\n2. Substitute c = k + 5 to p, which gives p = k + 42.\n3. Substitute k = s + 17 to p, which gives p = s + 59.\n4. Substitute s = o + 4 to p, which gives p = o + 63.\n5. Substitute o = v + 10 to p, which gives p = v + 73.\n6. Substitute v = 4 to p, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 7310,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 16; y = c + 20; k = s + 17; c = k + 5; v = 4; x = v + 13; p = y + 17; o = v + 10; a = t + 16; s = o + 4; e = i + 17; w = e + 4; i = x + 7. Given that v = 4, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 4", "a": "j + 10", "l": "a + 16", "d": "l + 20", "z": "d + 9", "m": "z + 13", "e": "p + 2", "i": "e + 15", "h": "i + 9", "c": "h + 15", "r": "c + 9", "u": "r + 1", "p": 6}, "premises": {"p": 6}, "target": "m"}, "answer": {"steps": [["z", "d + 9", "d + 22"], ["d", "l + 20", "l + 42"], ["l", "a + 16", "a + 58"], ["a", "j + 10", "j + 68"], ["j", "p + 4", "p + 72"], ["p", 6, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"p": 6}, "is_reverse": true}} | 7,311 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = e + 15; l = a + 16; z = d + 9; j = p + 4; m = z + 13; r = c + 9; e = p + 2; p = 6; c = h + 15; h = i + 9; u = r + 1; a = j + 10; d = l + 20. If p = 6, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 9 to m, which gives m = d + 22.\n2. Substitute d = l + 20 to m, which gives m = l + 42.\n3. Substitute l = a + 16 to m, which gives m = a + 58.\n4. Substitute a = j + 10 to m, which gives m = j + 68.\n5. Substitute j = p + 4 to m, which gives m = p + 72.\n6. Substitute p = 6 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 7311,
"question": "Consider a system of variables where each variable is defined as follows: i = e + 15; l = a + 16; z = d + 9; j = p + 4; m = z + 13; r = c + 9; e = p + 2; p = 6; c = h + 15; h = i + 9; u = r + 1; a = j + 10; d = l + 20. If p = 6, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 8", "j": "t + 19", "s": "j + 1", "k": "s + 9", "q": "k + 18", "h": "q + 7", "r": "l + 4", "x": "r + 10", "p": "x + 15", "c": "p + 3", "i": "c + 20", "m": "i + 16", "l": 4}, "premises": {"l": 4}, "target": "h"}, "answer": {"steps": [["q", "k + 18", "k + 25"], ["k", "s + 9", "s + 34"], ["s", "j + 1", "j + 35"], ["j", "t + 19", "t + 54"], ["t", "l + 8", "l + 62"], ["l", 4, "66"]], "target_var_name": "h", "target_value": 66, "value_dict": {"l": 4}, "is_reverse": true}} | 7,312 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = q + 7; m = i + 16; l = 4; c = p + 3; q = k + 18; x = r + 10; t = l + 8; r = l + 4; p = x + 15; i = c + 20; k = s + 9; j = t + 19; s = j + 1. If l = 4, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 18 to h, which gives h = k + 25.\n2. Substitute k = s + 9 to h, which gives h = s + 34.\n3. Substitute s = j + 1 to h, which gives h = j + 35.\n4. Substitute j = t + 19 to h, which gives h = t + 54.\n5. Substitute t = l + 8 to h, which gives h = l + 62.\n6. Substitute l = 4 to h, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 7312,
"question": "Consider a system of variables where each variable is defined as follows: h = q + 7; m = i + 16; l = 4; c = p + 3; q = k + 18; x = r + 10; t = l + 8; r = l + 4; p = x + 15; i = c + 20; k = s + 9; j = t + 19; s = j + 1. If l = 4, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 1", "s": "d + 7", "y": "s + 2", "z": "y + 14", "h": "z + 12", "n": "h + 13", "p": "g + 12", "o": "p + 4", "a": "o + 13", "b": "a + 5", "i": "b + 20", "f": "i + 12", "g": 9}, "premises": {"g": 9}, "target": "n"}, "answer": {"steps": [["h", "z + 12", "z + 25"], ["z", "y + 14", "y + 39"], ["y", "s + 2", "s + 41"], ["s", "d + 7", "d + 48"], ["d", "g + 1", "g + 49"], ["g", 9, "58"]], "target_var_name": "n", "target_value": 58, "value_dict": {"g": 9}, "is_reverse": true}} | 7,313 | 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 = h + 13; y = s + 2; h = z + 12; p = g + 12; z = y + 14; i = b + 20; a = o + 13; d = g + 1; s = d + 7; f = i + 12; b = a + 5; g = 9; o = p + 4. If g = 9, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 12 to n, which gives n = z + 25.\n2. Substitute z = y + 14 to n, which gives n = y + 39.\n3. Substitute y = s + 2 to n, which gives n = s + 41.\n4. Substitute s = d + 7 to n, which gives n = d + 48.\n5. Substitute d = g + 1 to n, which gives n = g + 49.\n6. Substitute g = 9 to n, which gives n = 58.\n\nThus, the final answer is n = \\boxed{58}.",
"index": 7313,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 13; y = s + 2; h = z + 12; p = g + 12; z = y + 14; i = b + 20; a = o + 13; d = g + 1; s = d + 7; f = i + 12; b = a + 5; g = 9; o = p + 4. If g = 9, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 18", "v": "f + 6", "y": "v + 6", "l": "y + 16", "j": "l + 9", "w": "j + 19", "m": "q + 5", "s": "m + 12", "b": "s + 18", "z": "b + 17", "c": "z + 14", "d": "c + 19", "q": 11}, "premises": {"q": 11}, "target": "w"}, "answer": {"steps": [["j", "l + 9", "l + 28"], ["l", "y + 16", "y + 44"], ["y", "v + 6", "v + 50"], ["v", "f + 6", "f + 56"], ["f", "q + 18", "q + 74"], ["q", 11, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"q": 11}, "is_reverse": true}} | 7,314 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = y + 16; z = b + 17; f = q + 18; q = 11; w = j + 19; m = q + 5; b = s + 18; j = l + 9; s = m + 12; c = z + 14; y = v + 6; v = f + 6; d = c + 19. If q = 11, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 9 to w, which gives w = l + 28.\n2. Substitute l = y + 16 to w, which gives w = y + 44.\n3. Substitute y = v + 6 to w, which gives w = v + 50.\n4. Substitute v = f + 6 to w, which gives w = f + 56.\n5. Substitute f = q + 18 to w, which gives w = q + 74.\n6. Substitute q = 11 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 7314,
"question": "Consider a system of variables where each variable is defined as follows: l = y + 16; z = b + 17; f = q + 18; q = 11; w = j + 19; m = q + 5; b = s + 18; j = l + 9; s = m + 12; c = z + 14; y = v + 6; v = f + 6; d = c + 19. If q = 11, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 13", "k": "d + 12", "v": "k + 11", "m": "v + 19", "c": "m + 1", "i": "c + 20", "z": "f + 13", "u": "z + 8", "o": "u + 11", "y": "o + 1", "t": "y + 2", "j": "t + 10", "f": 5}, "premises": {"f": 5}, "target": "i"}, "answer": {"steps": [["c", "m + 1", "m + 21"], ["m", "v + 19", "v + 40"], ["v", "k + 11", "k + 51"], ["k", "d + 12", "d + 63"], ["d", "f + 13", "f + 76"], ["f", 5, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"f": 5}, "is_reverse": true}} | 7,315 | 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 = d + 12; z = f + 13; u = z + 8; i = c + 20; v = k + 11; m = v + 19; t = y + 2; f = 5; c = m + 1; y = o + 1; j = t + 10; o = u + 11; d = f + 13. If f = 5, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 1 to i, which gives i = m + 21.\n2. Substitute m = v + 19 to i, which gives i = v + 40.\n3. Substitute v = k + 11 to i, which gives i = k + 51.\n4. Substitute k = d + 12 to i, which gives i = d + 63.\n5. Substitute d = f + 13 to i, which gives i = f + 76.\n6. Substitute f = 5 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 7315,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 12; z = f + 13; u = z + 8; i = c + 20; v = k + 11; m = v + 19; t = y + 2; f = 5; c = m + 1; y = o + 1; j = t + 10; o = u + 11; d = f + 13. If f = 5, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 19", "n": "p + 13", "y": "n + 2", "m": "y + 13", "r": "m + 12", "b": "r + 11", "i": "x + 1", "h": "i + 3", "k": "h + 15", "j": "k + 17", "v": "j + 7", "z": "v + 15", "x": 3}, "premises": {"x": 3}, "target": "b"}, "answer": {"steps": [["r", "m + 12", "m + 23"], ["m", "y + 13", "y + 36"], ["y", "n + 2", "n + 38"], ["n", "p + 13", "p + 51"], ["p", "x + 19", "x + 70"], ["x", 3, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"x": 3}, "is_reverse": true}} | 7,316 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = n + 2; x = 3; i = x + 1; h = i + 3; n = p + 13; r = m + 12; v = j + 7; p = x + 19; k = h + 15; m = y + 13; z = v + 15; j = k + 17; b = r + 11. If x = 3, 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 r = m + 12 to b, which gives b = m + 23.\n2. Substitute m = y + 13 to b, which gives b = y + 36.\n3. Substitute y = n + 2 to b, which gives b = n + 38.\n4. Substitute n = p + 13 to b, which gives b = p + 51.\n5. Substitute p = x + 19 to b, which gives b = x + 70.\n6. Substitute x = 3 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 7316,
"question": "Consider a system of variables where each variable is defined as follows: y = n + 2; x = 3; i = x + 1; h = i + 3; n = p + 13; r = m + 12; v = j + 7; p = x + 19; k = h + 15; m = y + 13; z = v + 15; j = k + 17; b = r + 11. If x = 3, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"c": "k + 16", "l": "c + 18", "d": "l + 16", "b": "d + 16", "n": "b + 18", "x": "n + 3", "w": "k + 18", "g": "w + 7", "r": "g + 7", "q": "r + 17", "a": "q + 2", "m": "a + 16", "k": 3}, "premises": {"k": 3}, "target": "x"}, "answer": {"steps": [["n", "b + 18", "b + 21"], ["b", "d + 16", "d + 37"], ["d", "l + 16", "l + 53"], ["l", "c + 18", "c + 71"], ["c", "k + 16", "k + 87"], ["k", 3, "90"]], "target_var_name": "x", "target_value": 90, "value_dict": {"k": 3}, "is_reverse": true}} | 7,317 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = k + 16; b = d + 16; m = a + 16; x = n + 3; k = 3; n = b + 18; a = q + 2; w = k + 18; g = w + 7; d = l + 16; r = g + 7; q = r + 17; l = c + 18. If k = 3, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 18 to x, which gives x = b + 21.\n2. Substitute b = d + 16 to x, which gives x = d + 37.\n3. Substitute d = l + 16 to x, which gives x = l + 53.\n4. Substitute l = c + 18 to x, which gives x = c + 71.\n5. Substitute c = k + 16 to x, which gives x = k + 87.\n6. Substitute k = 3 to x, which gives x = 90.\n\nThus, the final answer is x = \\boxed{90}.",
"index": 7317,
"question": "Consider a system of variables where each variable is defined as follows: c = k + 16; b = d + 16; m = a + 16; x = n + 3; k = 3; n = b + 18; a = q + 2; w = k + 18; g = w + 7; d = l + 16; r = g + 7; q = r + 17; l = c + 18. If k = 3, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 6", "m": "o + 5", "w": "m + 9", "x": "w + 20", "a": "x + 16", "s": "a + 2", "h": "c + 5", "z": "h + 11", "d": "z + 13", "i": "d + 13", "g": "i + 10", "v": "g + 6", "c": 17}, "premises": {"c": 17}, "target": "s"}, "answer": {"steps": [["a", "x + 16", "x + 18"], ["x", "w + 20", "w + 38"], ["w", "m + 9", "m + 47"], ["m", "o + 5", "o + 52"], ["o", "c + 6", "c + 58"], ["c", 17, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"c": 17}, "is_reverse": true}} | 7,318 | 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 = c + 5; i = d + 13; a = x + 16; w = m + 9; m = o + 5; g = i + 10; d = z + 13; z = h + 11; s = a + 2; x = w + 20; c = 17; v = g + 6; o = c + 6. If c = 17, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 16 to s, which gives s = x + 18.\n2. Substitute x = w + 20 to s, which gives s = w + 38.\n3. Substitute w = m + 9 to s, which gives s = m + 47.\n4. Substitute m = o + 5 to s, which gives s = o + 52.\n5. Substitute o = c + 6 to s, which gives s = c + 58.\n6. Substitute c = 17 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 7318,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 5; i = d + 13; a = x + 16; w = m + 9; m = o + 5; g = i + 10; d = z + 13; z = h + 11; s = a + 2; x = w + 20; c = 17; v = g + 6; o = c + 6. If c = 17, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 20", "q": "n + 20", "v": "q + 18", "h": "v + 19", "r": "h + 1", "l": "r + 12", "b": "o + 19", "c": "b + 18", "s": "c + 16", "a": "s + 13", "p": "a + 7", "f": "p + 9", "o": 9}, "premises": {"o": 9}, "target": "l"}, "answer": {"steps": [["r", "h + 1", "h + 13"], ["h", "v + 19", "v + 32"], ["v", "q + 18", "q + 50"], ["q", "n + 20", "n + 70"], ["n", "o + 20", "o + 90"], ["o", 9, "99"]], "target_var_name": "l", "target_value": 99, "value_dict": {"o": 9}, "is_reverse": true}} | 7,319 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = o + 20; a = s + 13; l = r + 12; c = b + 18; q = n + 20; v = q + 18; b = o + 19; f = p + 9; r = h + 1; s = c + 16; p = a + 7; o = 9; h = v + 19. If o = 9, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 1 to l, which gives l = h + 13.\n2. Substitute h = v + 19 to l, which gives l = v + 32.\n3. Substitute v = q + 18 to l, which gives l = q + 50.\n4. Substitute q = n + 20 to l, which gives l = n + 70.\n5. Substitute n = o + 20 to l, which gives l = o + 90.\n6. Substitute o = 9 to l, which gives l = 99.\n\nThus, the final answer is l = \\boxed{99}.",
"index": 7319,
"question": "Consider a system of variables where each variable is defined as follows: n = o + 20; a = s + 13; l = r + 12; c = b + 18; q = n + 20; v = q + 18; b = o + 19; f = p + 9; r = h + 1; s = c + 16; p = a + 7; o = 9; h = v + 19. If o = 9, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 12", "a": "x + 18", "e": "a + 1", "b": "e + 4", "p": "b + 3", "w": "p + 6", "j": "r + 19", "v": "j + 19", "i": "v + 7", "d": "i + 10", "m": "d + 4", "s": "m + 4", "r": 11}, "premises": {"r": 11}, "target": "w"}, "answer": {"steps": [["p", "b + 3", "b + 9"], ["b", "e + 4", "e + 13"], ["e", "a + 1", "a + 14"], ["a", "x + 18", "x + 32"], ["x", "r + 12", "r + 44"], ["r", 11, "55"]], "target_var_name": "w", "target_value": 55, "value_dict": {"r": 11}, "is_reverse": true}} | 7,320 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = d + 4; v = j + 19; b = e + 4; p = b + 3; r = 11; a = x + 18; s = m + 4; x = r + 12; e = a + 1; j = r + 19; d = i + 10; i = v + 7; w = p + 6. If r = 11, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 3 to w, which gives w = b + 9.\n2. Substitute b = e + 4 to w, which gives w = e + 13.\n3. Substitute e = a + 1 to w, which gives w = a + 14.\n4. Substitute a = x + 18 to w, which gives w = x + 32.\n5. Substitute x = r + 12 to w, which gives w = r + 44.\n6. Substitute r = 11 to w, which gives w = 55.\n\nThus, the final answer is w = \\boxed{55}.",
"index": 7320,
"question": "Consider a system of variables where each variable is defined as follows: m = d + 4; v = j + 19; b = e + 4; p = b + 3; r = 11; a = x + 18; s = m + 4; x = r + 12; e = a + 1; j = r + 19; d = i + 10; i = v + 7; w = p + 6. If r = 11, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 20", "i": "h + 20", "m": "i + 20", "w": "m + 5", "t": "w + 5", "p": "t + 18", "o": "e + 9", "f": "o + 10", "c": "f + 16", "k": "c + 20", "s": "k + 19", "q": "s + 8", "e": 3}, "premises": {"e": 3}, "target": "p"}, "answer": {"steps": [["t", "w + 5", "w + 23"], ["w", "m + 5", "m + 28"], ["m", "i + 20", "i + 48"], ["i", "h + 20", "h + 68"], ["h", "e + 20", "e + 88"], ["e", 3, "91"]], "target_var_name": "p", "target_value": 91, "value_dict": {"e": 3}, "is_reverse": true}} | 7,321 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = f + 16; s = k + 19; w = m + 5; o = e + 9; m = i + 20; f = o + 10; e = 3; h = e + 20; p = t + 18; t = w + 5; k = c + 20; q = s + 8; i = h + 20. Given that e = 3, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 5 to p, which gives p = w + 23.\n2. Substitute w = m + 5 to p, which gives p = m + 28.\n3. Substitute m = i + 20 to p, which gives p = i + 48.\n4. Substitute i = h + 20 to p, which gives p = h + 68.\n5. Substitute h = e + 20 to p, which gives p = e + 88.\n6. Substitute e = 3 to p, which gives p = 91.\n\nThus, the final answer is p = \\boxed{91}.",
"index": 7321,
"question": "Suppose a collection of variables is related by the following definitions: c = f + 16; s = k + 19; w = m + 5; o = e + 9; m = i + 20; f = o + 10; e = 3; h = e + 20; p = t + 18; t = w + 5; k = c + 20; q = s + 8; i = h + 20. Given that e = 3, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 17", "p": "v + 11", "b": "p + 9", "c": "b + 5", "u": "c + 8", "j": "u + 19", "m": "e + 1", "y": "m + 10", "a": "y + 5", "q": "a + 11", "g": "q + 20", "o": "g + 19", "e": 10}, "premises": {"e": 10}, "target": "j"}, "answer": {"steps": [["u", "c + 8", "c + 27"], ["c", "b + 5", "b + 32"], ["b", "p + 9", "p + 41"], ["p", "v + 11", "v + 52"], ["v", "e + 17", "e + 69"], ["e", 10, "79"]], "target_var_name": "j", "target_value": 79, "value_dict": {"e": 10}, "is_reverse": true}} | 7,322 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = p + 9; e = 10; j = u + 19; a = y + 5; o = g + 19; v = e + 17; y = m + 10; q = a + 11; g = q + 20; u = c + 8; p = v + 11; m = e + 1; c = b + 5. If e = 10, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 8 to j, which gives j = c + 27.\n2. Substitute c = b + 5 to j, which gives j = b + 32.\n3. Substitute b = p + 9 to j, which gives j = p + 41.\n4. Substitute p = v + 11 to j, which gives j = v + 52.\n5. Substitute v = e + 17 to j, which gives j = e + 69.\n6. Substitute e = 10 to j, which gives j = 79.\n\nThus, the final answer is j = \\boxed{79}.",
"index": 7322,
"question": "Consider a system of variables where each variable is defined as follows: b = p + 9; e = 10; j = u + 19; a = y + 5; o = g + 19; v = e + 17; y = m + 10; q = a + 11; g = q + 20; u = c + 8; p = v + 11; m = e + 1; c = b + 5. If e = 10, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 1", "k": "b + 4", "l": "k + 18", "m": "l + 16", "j": "m + 17", "e": "j + 9", "u": "t + 9", "z": "u + 14", "s": "z + 3", "d": "s + 3", "w": "d + 17", "f": "w + 18", "t": 7}, "premises": {"t": 7}, "target": "e"}, "answer": {"steps": [["j", "m + 17", "m + 26"], ["m", "l + 16", "l + 42"], ["l", "k + 18", "k + 60"], ["k", "b + 4", "b + 64"], ["b", "t + 1", "t + 65"], ["t", 7, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"t": 7}, "is_reverse": true}} | 7,323 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = j + 9; j = m + 17; t = 7; s = z + 3; u = t + 9; m = l + 16; b = t + 1; w = d + 17; l = k + 18; z = u + 14; k = b + 4; f = w + 18; d = s + 3. Given that t = 7, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 17 to e, which gives e = m + 26.\n2. Substitute m = l + 16 to e, which gives e = l + 42.\n3. Substitute l = k + 18 to e, which gives e = k + 60.\n4. Substitute k = b + 4 to e, which gives e = b + 64.\n5. Substitute b = t + 1 to e, which gives e = t + 65.\n6. Substitute t = 7 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 7323,
"question": "Suppose a collection of variables is related by the following definitions: e = j + 9; j = m + 17; t = 7; s = z + 3; u = t + 9; m = l + 16; b = t + 1; w = d + 17; l = k + 18; z = u + 14; k = b + 4; f = w + 18; d = s + 3. Given that t = 7, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 18", "r": "p + 10", "i": "r + 18", "b": "i + 3", "t": "b + 8", "y": "t + 18", "o": "m + 17", "f": "o + 3", "d": "f + 15", "k": "d + 4", "n": "k + 5", "q": "n + 14", "m": 16}, "premises": {"m": 16}, "target": "y"}, "answer": {"steps": [["t", "b + 8", "b + 26"], ["b", "i + 3", "i + 29"], ["i", "r + 18", "r + 47"], ["r", "p + 10", "p + 57"], ["p", "m + 18", "m + 75"], ["m", 16, "91"]], "target_var_name": "y", "target_value": 91, "value_dict": {"m": 16}, "is_reverse": true}} | 7,324 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = 16; d = f + 15; t = b + 8; f = o + 3; y = t + 18; i = r + 18; q = n + 14; n = k + 5; o = m + 17; r = p + 10; p = m + 18; k = d + 4; b = i + 3. If m = 16, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = b + 8 to y, which gives y = b + 26.\n2. Substitute b = i + 3 to y, which gives y = i + 29.\n3. Substitute i = r + 18 to y, which gives y = r + 47.\n4. Substitute r = p + 10 to y, which gives y = p + 57.\n5. Substitute p = m + 18 to y, which gives y = m + 75.\n6. Substitute m = 16 to y, which gives y = 91.\n\nThus, the final answer is y = \\boxed{91}.",
"index": 7324,
"question": "Consider a system of variables where each variable is defined as follows: m = 16; d = f + 15; t = b + 8; f = o + 3; y = t + 18; i = r + 18; q = n + 14; n = k + 5; o = m + 17; r = p + 10; p = m + 18; k = d + 4; b = i + 3. If m = 16, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"s": "b + 2", "q": "s + 6", "t": "q + 10", "r": "t + 1", "g": "r + 20", "j": "g + 18", "y": "b + 2", "h": "y + 13", "u": "h + 8", "d": "u + 6", "o": "d + 15", "f": "o + 7", "b": 2}, "premises": {"b": 2}, "target": "j"}, "answer": {"steps": [["g", "r + 20", "r + 38"], ["r", "t + 1", "t + 39"], ["t", "q + 10", "q + 49"], ["q", "s + 6", "s + 55"], ["s", "b + 2", "b + 57"], ["b", 2, "59"]], "target_var_name": "j", "target_value": 59, "value_dict": {"b": 2}, "is_reverse": true}} | 7,325 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = r + 20; f = o + 7; y = b + 2; u = h + 8; t = q + 10; h = y + 13; s = b + 2; d = u + 6; r = t + 1; b = 2; o = d + 15; q = s + 6; j = g + 18. If b = 2, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 20 to j, which gives j = r + 38.\n2. Substitute r = t + 1 to j, which gives j = t + 39.\n3. Substitute t = q + 10 to j, which gives j = q + 49.\n4. Substitute q = s + 6 to j, which gives j = s + 55.\n5. Substitute s = b + 2 to j, which gives j = b + 57.\n6. Substitute b = 2 to j, which gives j = 59.\n\nThus, the final answer is j = \\boxed{59}.",
"index": 7325,
"question": "Consider a system of variables where each variable is defined as follows: g = r + 20; f = o + 7; y = b + 2; u = h + 8; t = q + 10; h = y + 13; s = b + 2; d = u + 6; r = t + 1; b = 2; o = d + 15; q = s + 6; j = g + 18. If b = 2, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 14", "k": "q + 7", "o": "k + 6", "g": "o + 6", "f": "g + 15", "p": "f + 19", "j": "z + 17", "d": "j + 1", "h": "d + 13", "y": "h + 5", "t": "y + 5", "c": "t + 8", "z": 12}, "premises": {"z": 12}, "target": "p"}, "answer": {"steps": [["f", "g + 15", "g + 34"], ["g", "o + 6", "o + 40"], ["o", "k + 6", "k + 46"], ["k", "q + 7", "q + 53"], ["q", "z + 14", "z + 67"], ["z", 12, "79"]], "target_var_name": "p", "target_value": 79, "value_dict": {"z": 12}, "is_reverse": true}} | 7,326 | 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 = 12; j = z + 17; k = q + 7; q = z + 14; y = h + 5; h = d + 13; p = f + 19; c = t + 8; t = y + 5; f = g + 15; d = j + 1; g = o + 6; o = k + 6. If z = 12, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 15 to p, which gives p = g + 34.\n2. Substitute g = o + 6 to p, which gives p = o + 40.\n3. Substitute o = k + 6 to p, which gives p = k + 46.\n4. Substitute k = q + 7 to p, which gives p = q + 53.\n5. Substitute q = z + 14 to p, which gives p = z + 67.\n6. Substitute z = 12 to p, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 7326,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 12; j = z + 17; k = q + 7; q = z + 14; y = h + 5; h = d + 13; p = f + 19; c = t + 8; t = y + 5; f = g + 15; d = j + 1; g = o + 6; o = k + 6. If z = 12, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 17", "v": "s + 8", "r": "v + 12", "z": "r + 16", "l": "z + 17", "h": "l + 6", "i": "q + 9", "y": "i + 17", "x": "y + 6", "j": "x + 9", "b": "j + 17", "c": "b + 11", "q": 18}, "premises": {"q": 18}, "target": "h"}, "answer": {"steps": [["l", "z + 17", "z + 23"], ["z", "r + 16", "r + 39"], ["r", "v + 12", "v + 51"], ["v", "s + 8", "s + 59"], ["s", "q + 17", "q + 76"], ["q", 18, "94"]], "target_var_name": "h", "target_value": 94, "value_dict": {"q": 18}, "is_reverse": true}} | 7,327 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = q + 9; h = l + 6; b = j + 17; s = q + 17; x = y + 6; r = v + 12; c = b + 11; l = z + 17; z = r + 16; j = x + 9; y = i + 17; q = 18; v = s + 8. Given that q = 18, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 17 to h, which gives h = z + 23.\n2. Substitute z = r + 16 to h, which gives h = r + 39.\n3. Substitute r = v + 12 to h, which gives h = v + 51.\n4. Substitute v = s + 8 to h, which gives h = s + 59.\n5. Substitute s = q + 17 to h, which gives h = q + 76.\n6. Substitute q = 18 to h, which gives h = 94.\n\nThus, the final answer is h = \\boxed{94}.",
"index": 7327,
"question": "Suppose a collection of variables is related by the following definitions: i = q + 9; h = l + 6; b = j + 17; s = q + 17; x = y + 6; r = v + 12; c = b + 11; l = z + 17; z = r + 16; j = x + 9; y = i + 17; q = 18; v = s + 8. Given that q = 18, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 5", "v": "k + 19", "y": "v + 6", "g": "y + 11", "x": "g + 8", "h": "x + 12", "w": "d + 16", "n": "w + 13", "t": "n + 9", "s": "t + 12", "i": "s + 3", "a": "i + 19", "d": 16}, "premises": {"d": 16}, "target": "h"}, "answer": {"steps": [["x", "g + 8", "g + 20"], ["g", "y + 11", "y + 31"], ["y", "v + 6", "v + 37"], ["v", "k + 19", "k + 56"], ["k", "d + 5", "d + 61"], ["d", 16, "77"]], "target_var_name": "h", "target_value": 77, "value_dict": {"d": 16}, "is_reverse": true}} | 7,328 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = y + 11; n = w + 13; d = 16; i = s + 3; t = n + 9; s = t + 12; x = g + 8; h = x + 12; w = d + 16; v = k + 19; k = d + 5; a = i + 19; y = v + 6. If d = 16, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 8 to h, which gives h = g + 20.\n2. Substitute g = y + 11 to h, which gives h = y + 31.\n3. Substitute y = v + 6 to h, which gives h = v + 37.\n4. Substitute v = k + 19 to h, which gives h = k + 56.\n5. Substitute k = d + 5 to h, which gives h = d + 61.\n6. Substitute d = 16 to h, which gives h = 77.\n\nThus, the final answer is h = \\boxed{77}.",
"index": 7328,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = y + 11; n = w + 13; d = 16; i = s + 3; t = n + 9; s = t + 12; x = g + 8; h = x + 12; w = d + 16; v = k + 19; k = d + 5; a = i + 19; y = v + 6. If d = 16, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 5", "x": "p + 11", "n": "x + 6", "y": "n + 8", "d": "y + 10", "w": "d + 12", "b": "a + 6", "m": "b + 4", "h": "m + 20", "z": "h + 8", "o": "z + 8", "r": "o + 14", "a": 2}, "premises": {"a": 2}, "target": "w"}, "answer": {"steps": [["d", "y + 10", "y + 22"], ["y", "n + 8", "n + 30"], ["n", "x + 6", "x + 36"], ["x", "p + 11", "p + 47"], ["p", "a + 5", "a + 52"], ["a", 2, "54"]], "target_var_name": "w", "target_value": 54, "value_dict": {"a": 2}, "is_reverse": true}} | 7,329 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = x + 6; d = y + 10; w = d + 12; m = b + 4; a = 2; r = o + 14; x = p + 11; h = m + 20; z = h + 8; o = z + 8; b = a + 6; y = n + 8; p = a + 5. If a = 2, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 10 to w, which gives w = y + 22.\n2. Substitute y = n + 8 to w, which gives w = n + 30.\n3. Substitute n = x + 6 to w, which gives w = x + 36.\n4. Substitute x = p + 11 to w, which gives w = p + 47.\n5. Substitute p = a + 5 to w, which gives w = a + 52.\n6. Substitute a = 2 to w, which gives w = 54.\n\nThus, the final answer is w = \\boxed{54}.",
"index": 7329,
"question": "Consider a system of variables where each variable is defined as follows: n = x + 6; d = y + 10; w = d + 12; m = b + 4; a = 2; r = o + 14; x = p + 11; h = m + 20; z = h + 8; o = z + 8; b = a + 6; y = n + 8; p = a + 5. If a = 2, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 2", "o": "z + 16", "d": "o + 15", "n": "d + 3", "f": "n + 13", "c": "f + 11", "a": "q + 4", "s": "a + 12", "i": "s + 2", "y": "i + 13", "e": "y + 11", "x": "e + 19", "q": 12}, "premises": {"q": 12}, "target": "c"}, "answer": {"steps": [["f", "n + 13", "n + 24"], ["n", "d + 3", "d + 27"], ["d", "o + 15", "o + 42"], ["o", "z + 16", "z + 58"], ["z", "q + 2", "q + 60"], ["q", 12, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"q": 12}, "is_reverse": true}} | 7,330 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = d + 3; y = i + 13; z = q + 2; s = a + 12; f = n + 13; q = 12; d = o + 15; a = q + 4; c = f + 11; e = y + 11; i = s + 2; o = z + 16; x = e + 19. Given that q = 12, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 13 to c, which gives c = n + 24.\n2. Substitute n = d + 3 to c, which gives c = d + 27.\n3. Substitute d = o + 15 to c, which gives c = o + 42.\n4. Substitute o = z + 16 to c, which gives c = z + 58.\n5. Substitute z = q + 2 to c, which gives c = q + 60.\n6. Substitute q = 12 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 7330,
"question": "Suppose a collection of variables is related by the following definitions: n = d + 3; y = i + 13; z = q + 2; s = a + 12; f = n + 13; q = 12; d = o + 15; a = q + 4; c = f + 11; e = y + 11; i = s + 2; o = z + 16; x = e + 19. Given that q = 12, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"w": "o + 11", "c": "w + 9", "t": "c + 10", "u": "t + 11", "l": "u + 18", "q": "l + 19", "e": "o + 15", "n": "e + 9", "v": "n + 18", "k": "v + 14", "m": "k + 15", "h": "m + 1", "o": 17}, "premises": {"o": 17}, "target": "q"}, "answer": {"steps": [["l", "u + 18", "u + 37"], ["u", "t + 11", "t + 48"], ["t", "c + 10", "c + 58"], ["c", "w + 9", "w + 67"], ["w", "o + 11", "o + 78"], ["o", 17, "95"]], "target_var_name": "q", "target_value": 95, "value_dict": {"o": 17}, "is_reverse": true}} | 7,331 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = l + 19; c = w + 9; n = e + 9; u = t + 11; l = u + 18; o = 17; h = m + 1; e = o + 15; w = o + 11; t = c + 10; m = k + 15; k = v + 14; v = n + 18. Given that o = 17, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 18 to q, which gives q = u + 37.\n2. Substitute u = t + 11 to q, which gives q = t + 48.\n3. Substitute t = c + 10 to q, which gives q = c + 58.\n4. Substitute c = w + 9 to q, which gives q = w + 67.\n5. Substitute w = o + 11 to q, which gives q = o + 78.\n6. Substitute o = 17 to q, which gives q = 95.\n\nThus, the final answer is q = \\boxed{95}.",
"index": 7331,
"question": "Suppose a collection of variables is related by the following definitions: q = l + 19; c = w + 9; n = e + 9; u = t + 11; l = u + 18; o = 17; h = m + 1; e = o + 15; w = o + 11; t = c + 10; m = k + 15; k = v + 14; v = n + 18. Given that o = 17, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 20", "q": "j + 10", "a": "q + 7", "s": "a + 6", "m": "s + 1", "y": "m + 11", "i": "o + 6", "l": "i + 14", "t": "l + 7", "w": "t + 15", "r": "w + 8", "e": "r + 8", "o": 14}, "premises": {"o": 14}, "target": "y"}, "answer": {"steps": [["m", "s + 1", "s + 12"], ["s", "a + 6", "a + 18"], ["a", "q + 7", "q + 25"], ["q", "j + 10", "j + 35"], ["j", "o + 20", "o + 55"], ["o", 14, "69"]], "target_var_name": "y", "target_value": 69, "value_dict": {"o": 14}, "is_reverse": true}} | 7,332 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = l + 7; j = o + 20; i = o + 6; l = i + 14; e = r + 8; r = w + 8; m = s + 1; w = t + 15; o = 14; a = q + 7; y = m + 11; s = a + 6; q = j + 10. Given that o = 14, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 1 to y, which gives y = s + 12.\n2. Substitute s = a + 6 to y, which gives y = a + 18.\n3. Substitute a = q + 7 to y, which gives y = q + 25.\n4. Substitute q = j + 10 to y, which gives y = j + 35.\n5. Substitute j = o + 20 to y, which gives y = o + 55.\n6. Substitute o = 14 to y, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 7332,
"question": "Suppose a collection of variables is related by the following definitions: t = l + 7; j = o + 20; i = o + 6; l = i + 14; e = r + 8; r = w + 8; m = s + 1; w = t + 15; o = 14; a = q + 7; y = m + 11; s = a + 6; q = j + 10. Given that o = 14, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 1", "w": "f + 18", "a": "w + 1", "g": "a + 16", "s": "g + 19", "h": "s + 3", "p": "n + 2", "t": "p + 14", "o": "t + 7", "b": "o + 14", "j": "b + 11", "d": "j + 15", "n": 8}, "premises": {"n": 8}, "target": "h"}, "answer": {"steps": [["s", "g + 19", "g + 22"], ["g", "a + 16", "a + 38"], ["a", "w + 1", "w + 39"], ["w", "f + 18", "f + 57"], ["f", "n + 1", "n + 58"], ["n", 8, "66"]], "target_var_name": "h", "target_value": 66, "value_dict": {"n": 8}, "is_reverse": true}} | 7,333 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = o + 14; p = n + 2; t = p + 14; d = j + 15; f = n + 1; o = t + 7; j = b + 11; h = s + 3; s = g + 19; n = 8; w = f + 18; a = w + 1; g = a + 16. If n = 8, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 19 to h, which gives h = g + 22.\n2. Substitute g = a + 16 to h, which gives h = a + 38.\n3. Substitute a = w + 1 to h, which gives h = w + 39.\n4. Substitute w = f + 18 to h, which gives h = f + 57.\n5. Substitute f = n + 1 to h, which gives h = n + 58.\n6. Substitute n = 8 to h, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 7333,
"question": "Consider a system of variables where each variable is defined as follows: b = o + 14; p = n + 2; t = p + 14; d = j + 15; f = n + 1; o = t + 7; j = b + 11; h = s + 3; s = g + 19; n = 8; w = f + 18; a = w + 1; g = a + 16. If n = 8, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "a + 1", "y": "u + 3", "k": "y + 15", "d": "k + 8", "o": "d + 9", "p": "o + 15", "t": "a + 1", "f": "t + 6", "n": "f + 5", "e": "n + 18", "l": "e + 11", "v": "l + 20", "a": 7}, "premises": {"a": 7}, "target": "p"}, "answer": {"steps": [["o", "d + 9", "d + 24"], ["d", "k + 8", "k + 32"], ["k", "y + 15", "y + 47"], ["y", "u + 3", "u + 50"], ["u", "a + 1", "a + 51"], ["a", 7, "58"]], "target_var_name": "p", "target_value": 58, "value_dict": {"a": 7}, "is_reverse": true}} | 7,334 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = u + 3; u = a + 1; t = a + 1; d = k + 8; k = y + 15; o = d + 9; f = t + 6; l = e + 11; v = l + 20; a = 7; n = f + 5; p = o + 15; e = n + 18. Given that a = 7, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 9 to p, which gives p = d + 24.\n2. Substitute d = k + 8 to p, which gives p = k + 32.\n3. Substitute k = y + 15 to p, which gives p = y + 47.\n4. Substitute y = u + 3 to p, which gives p = u + 50.\n5. Substitute u = a + 1 to p, which gives p = a + 51.\n6. Substitute a = 7 to p, which gives p = 58.\n\nThus, the final answer is p = \\boxed{58}.",
"index": 7334,
"question": "Suppose a collection of variables is related by the following definitions: y = u + 3; u = a + 1; t = a + 1; d = k + 8; k = y + 15; o = d + 9; f = t + 6; l = e + 11; v = l + 20; a = 7; n = f + 5; p = o + 15; e = n + 18. Given that a = 7, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 9", "b": "c + 16", "v": "b + 4", "h": "v + 9", "j": "h + 4", "x": "j + 8", "t": "w + 13", "y": "t + 20", "n": "y + 3", "z": "n + 8", "o": "z + 3", "u": "o + 5", "w": 3}, "premises": {"w": 3}, "target": "x"}, "answer": {"steps": [["j", "h + 4", "h + 12"], ["h", "v + 9", "v + 21"], ["v", "b + 4", "b + 25"], ["b", "c + 16", "c + 41"], ["c", "w + 9", "w + 50"], ["w", 3, "53"]], "target_var_name": "x", "target_value": 53, "value_dict": {"w": 3}, "is_reverse": true}} | 7,335 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = y + 3; h = v + 9; b = c + 16; j = h + 4; y = t + 20; t = w + 13; x = j + 8; v = b + 4; w = 3; c = w + 9; z = n + 8; o = z + 3; u = o + 5. If w = 3, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 4 to x, which gives x = h + 12.\n2. Substitute h = v + 9 to x, which gives x = v + 21.\n3. Substitute v = b + 4 to x, which gives x = b + 25.\n4. Substitute b = c + 16 to x, which gives x = c + 41.\n5. Substitute c = w + 9 to x, which gives x = w + 50.\n6. Substitute w = 3 to x, which gives x = 53.\n\nThus, the final answer is x = \\boxed{53}.",
"index": 7335,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = y + 3; h = v + 9; b = c + 16; j = h + 4; y = t + 20; t = w + 13; x = j + 8; v = b + 4; w = 3; c = w + 9; z = n + 8; o = z + 3; u = o + 5. If w = 3, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 1", "b": "y + 12", "h": "b + 5", "z": "h + 20", "u": "z + 12", "f": "u + 2", "v": "k + 11", "g": "v + 12", "p": "g + 4", "i": "p + 10", "w": "i + 16", "m": "w + 6", "k": 3}, "premises": {"k": 3}, "target": "f"}, "answer": {"steps": [["u", "z + 12", "z + 14"], ["z", "h + 20", "h + 34"], ["h", "b + 5", "b + 39"], ["b", "y + 12", "y + 51"], ["y", "k + 1", "k + 52"], ["k", 3, "55"]], "target_var_name": "f", "target_value": 55, "value_dict": {"k": 3}, "is_reverse": true}} | 7,336 | 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 = i + 16; g = v + 12; m = w + 6; i = p + 10; v = k + 11; k = 3; p = g + 4; f = u + 2; z = h + 20; h = b + 5; b = y + 12; y = k + 1; u = z + 12. If k = 3, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 12 to f, which gives f = z + 14.\n2. Substitute z = h + 20 to f, which gives f = h + 34.\n3. Substitute h = b + 5 to f, which gives f = b + 39.\n4. Substitute b = y + 12 to f, which gives f = y + 51.\n5. Substitute y = k + 1 to f, which gives f = k + 52.\n6. Substitute k = 3 to f, which gives f = 55.\n\nThus, the final answer is f = \\boxed{55}.",
"index": 7336,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = i + 16; g = v + 12; m = w + 6; i = p + 10; v = k + 11; k = 3; p = g + 4; f = u + 2; z = h + 20; h = b + 5; b = y + 12; y = k + 1; u = z + 12. If k = 3, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 15", "h": "k + 16", "i": "h + 16", "q": "i + 6", "r": "q + 2", "e": "r + 4", "v": "g + 9", "f": "v + 14", "o": "f + 17", "n": "o + 7", "z": "n + 12", "j": "z + 15", "g": 10}, "premises": {"g": 10}, "target": "e"}, "answer": {"steps": [["r", "q + 2", "q + 6"], ["q", "i + 6", "i + 12"], ["i", "h + 16", "h + 28"], ["h", "k + 16", "k + 44"], ["k", "g + 15", "g + 59"], ["g", 10, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"g": 10}, "is_reverse": true}} | 7,337 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = o + 7; j = z + 15; q = i + 6; r = q + 2; o = f + 17; e = r + 4; i = h + 16; f = v + 14; h = k + 16; z = n + 12; v = g + 9; k = g + 15; g = 10. If g = 10, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 2 to e, which gives e = q + 6.\n2. Substitute q = i + 6 to e, which gives e = i + 12.\n3. Substitute i = h + 16 to e, which gives e = h + 28.\n4. Substitute h = k + 16 to e, which gives e = k + 44.\n5. Substitute k = g + 15 to e, which gives e = g + 59.\n6. Substitute g = 10 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 7337,
"question": "Consider a system of variables where each variable is defined as follows: n = o + 7; j = z + 15; q = i + 6; r = q + 2; o = f + 17; e = r + 4; i = h + 16; f = v + 14; h = k + 16; z = n + 12; v = g + 9; k = g + 15; g = 10. If g = 10, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 14", "j": "t + 18", "y": "j + 14", "f": "y + 5", "q": "f + 10", "z": "q + 9", "d": "w + 15", "l": "d + 3", "c": "l + 7", "g": "c + 10", "k": "g + 3", "a": "k + 8", "w": 7}, "premises": {"w": 7}, "target": "z"}, "answer": {"steps": [["q", "f + 10", "f + 19"], ["f", "y + 5", "y + 24"], ["y", "j + 14", "j + 38"], ["j", "t + 18", "t + 56"], ["t", "w + 14", "w + 70"], ["w", 7, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"w": 7}, "is_reverse": true}} | 7,338 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = w + 14; j = t + 18; k = g + 3; w = 7; f = y + 5; z = q + 9; l = d + 3; g = c + 10; c = l + 7; a = k + 8; y = j + 14; q = f + 10; d = w + 15. If w = 7, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 10 to z, which gives z = f + 19.\n2. Substitute f = y + 5 to z, which gives z = y + 24.\n3. Substitute y = j + 14 to z, which gives z = j + 38.\n4. Substitute j = t + 18 to z, which gives z = t + 56.\n5. Substitute t = w + 14 to z, which gives z = w + 70.\n6. Substitute w = 7 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 7338,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = w + 14; j = t + 18; k = g + 3; w = 7; f = y + 5; z = q + 9; l = d + 3; g = c + 10; c = l + 7; a = k + 8; y = j + 14; q = f + 10; d = w + 15. If w = 7, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 4", "m": "g + 14", "b": "m + 17", "i": "b + 15", "y": "i + 2", "r": "y + 18", "c": "l + 15", "j": "c + 16", "v": "j + 1", "t": "v + 8", "h": "t + 8", "z": "h + 16", "l": 7}, "premises": {"l": 7}, "target": "r"}, "answer": {"steps": [["y", "i + 2", "i + 20"], ["i", "b + 15", "b + 35"], ["b", "m + 17", "m + 52"], ["m", "g + 14", "g + 66"], ["g", "l + 4", "l + 70"], ["l", 7, "77"]], "target_var_name": "r", "target_value": 77, "value_dict": {"l": 7}, "is_reverse": true}} | 7,339 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = l + 15; l = 7; i = b + 15; b = m + 17; y = i + 2; r = y + 18; m = g + 14; z = h + 16; v = j + 1; h = t + 8; j = c + 16; g = l + 4; t = v + 8. If l = 7, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 2 to r, which gives r = i + 20.\n2. Substitute i = b + 15 to r, which gives r = b + 35.\n3. Substitute b = m + 17 to r, which gives r = m + 52.\n4. Substitute m = g + 14 to r, which gives r = g + 66.\n5. Substitute g = l + 4 to r, which gives r = l + 70.\n6. Substitute l = 7 to r, which gives r = 77.\n\nThus, the final answer is r = \\boxed{77}.",
"index": 7339,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = l + 15; l = 7; i = b + 15; b = m + 17; y = i + 2; r = y + 18; m = g + 14; z = h + 16; v = j + 1; h = t + 8; j = c + 16; g = l + 4; t = v + 8. If l = 7, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"a": "w + 14", "k": "a + 20", "h": "k + 13", "t": "h + 9", "d": "t + 20", "y": "d + 12", "v": "w + 11", "n": "v + 2", "r": "n + 7", "z": "r + 4", "l": "z + 12", "i": "l + 15", "w": 7}, "premises": {"w": 7}, "target": "y"}, "answer": {"steps": [["d", "t + 20", "t + 32"], ["t", "h + 9", "h + 41"], ["h", "k + 13", "k + 54"], ["k", "a + 20", "a + 74"], ["a", "w + 14", "w + 88"], ["w", 7, "95"]], "target_var_name": "y", "target_value": 95, "value_dict": {"w": 7}, "is_reverse": true}} | 7,340 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 4; r = n + 7; w = 7; i = l + 15; n = v + 2; t = h + 9; d = t + 20; y = d + 12; k = a + 20; l = z + 12; v = w + 11; a = w + 14; h = k + 13. If w = 7, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 20 to y, which gives y = t + 32.\n2. Substitute t = h + 9 to y, which gives y = h + 41.\n3. Substitute h = k + 13 to y, which gives y = k + 54.\n4. Substitute k = a + 20 to y, which gives y = a + 74.\n5. Substitute a = w + 14 to y, which gives y = w + 88.\n6. Substitute w = 7 to y, which gives y = 95.\n\nThus, the final answer is y = \\boxed{95}.",
"index": 7340,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 4; r = n + 7; w = 7; i = l + 15; n = v + 2; t = h + 9; d = t + 20; y = d + 12; k = a + 20; l = z + 12; v = w + 11; a = w + 14; h = k + 13. If w = 7, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 12", "t": "z + 13", "s": "t + 6", "k": "s + 13", "a": "k + 10", "g": "a + 11", "d": "w + 15", "m": "d + 20", "f": "m + 7", "v": "f + 18", "y": "v + 9", "l": "y + 6", "w": 10}, "premises": {"w": 10}, "target": "g"}, "answer": {"steps": [["a", "k + 10", "k + 21"], ["k", "s + 13", "s + 34"], ["s", "t + 6", "t + 40"], ["t", "z + 13", "z + 53"], ["z", "w + 12", "w + 65"], ["w", 10, "75"]], "target_var_name": "g", "target_value": 75, "value_dict": {"w": 10}, "is_reverse": true}} | 7,341 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = a + 11; l = y + 6; w = 10; a = k + 10; f = m + 7; m = d + 20; t = z + 13; s = t + 6; v = f + 18; k = s + 13; z = w + 12; y = v + 9; d = w + 15. Given that w = 10, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 10 to g, which gives g = k + 21.\n2. Substitute k = s + 13 to g, which gives g = s + 34.\n3. Substitute s = t + 6 to g, which gives g = t + 40.\n4. Substitute t = z + 13 to g, which gives g = z + 53.\n5. Substitute z = w + 12 to g, which gives g = w + 65.\n6. Substitute w = 10 to g, which gives g = 75.\n\nThus, the final answer is g = \\boxed{75}.",
"index": 7341,
"question": "Suppose a collection of variables is related by the following definitions: g = a + 11; l = y + 6; w = 10; a = k + 10; f = m + 7; m = d + 20; t = z + 13; s = t + 6; v = f + 18; k = s + 13; z = w + 12; y = v + 9; d = w + 15. Given that w = 10, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 19", "u": "y + 4", "n": "u + 1", "r": "n + 9", "b": "r + 17", "p": "b + 10", "l": "j + 14", "i": "l + 20", "k": "i + 17", "t": "k + 4", "o": "t + 7", "x": "o + 7", "j": 14}, "premises": {"j": 14}, "target": "p"}, "answer": {"steps": [["b", "r + 17", "r + 27"], ["r", "n + 9", "n + 36"], ["n", "u + 1", "u + 37"], ["u", "y + 4", "y + 41"], ["y", "j + 19", "j + 60"], ["j", 14, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"j": 14}, "is_reverse": true}} | 7,342 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = u + 1; j = 14; k = i + 17; u = y + 4; y = j + 19; t = k + 4; x = o + 7; r = n + 9; l = j + 14; i = l + 20; p = b + 10; b = r + 17; o = t + 7. Given that j = 14, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 17 to p, which gives p = r + 27.\n2. Substitute r = n + 9 to p, which gives p = n + 36.\n3. Substitute n = u + 1 to p, which gives p = u + 37.\n4. Substitute u = y + 4 to p, which gives p = y + 41.\n5. Substitute y = j + 19 to p, which gives p = j + 60.\n6. Substitute j = 14 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 7342,
"question": "Suppose a collection of variables is related by the following definitions: n = u + 1; j = 14; k = i + 17; u = y + 4; y = j + 19; t = k + 4; x = o + 7; r = n + 9; l = j + 14; i = l + 20; p = b + 10; b = r + 17; o = t + 7. Given that j = 14, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 9", "k": "d + 8", "j": "k + 17", "s": "j + 7", "v": "s + 10", "p": "v + 8", "q": "t + 15", "o": "q + 12", "g": "o + 16", "r": "g + 3", "n": "r + 1", "h": "n + 4", "t": 1}, "premises": {"t": 1}, "target": "p"}, "answer": {"steps": [["v", "s + 10", "s + 18"], ["s", "j + 7", "j + 25"], ["j", "k + 17", "k + 42"], ["k", "d + 8", "d + 50"], ["d", "t + 9", "t + 59"], ["t", 1, "60"]], "target_var_name": "p", "target_value": 60, "value_dict": {"t": 1}, "is_reverse": true}} | 7,343 | 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 = t + 9; o = q + 12; s = j + 7; t = 1; n = r + 1; j = k + 17; h = n + 4; g = o + 16; q = t + 15; v = s + 10; k = d + 8; p = v + 8; r = g + 3. If t = 1, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 10 to p, which gives p = s + 18.\n2. Substitute s = j + 7 to p, which gives p = j + 25.\n3. Substitute j = k + 17 to p, which gives p = k + 42.\n4. Substitute k = d + 8 to p, which gives p = d + 50.\n5. Substitute d = t + 9 to p, which gives p = t + 59.\n6. Substitute t = 1 to p, which gives p = 60.\n\nThus, the final answer is p = \\boxed{60}.",
"index": 7343,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 9; o = q + 12; s = j + 7; t = 1; n = r + 1; j = k + 17; h = n + 4; g = o + 16; q = t + 15; v = s + 10; k = d + 8; p = v + 8; r = g + 3. If t = 1, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 7", "u": "n + 13", "m": "u + 5", "s": "m + 10", "y": "s + 3", "p": "y + 6", "a": "h + 20", "w": "a + 4", "x": "w + 17", "v": "x + 2", "k": "v + 1", "z": "k + 10", "h": 9}, "premises": {"h": 9}, "target": "p"}, "answer": {"steps": [["y", "s + 3", "s + 9"], ["s", "m + 10", "m + 19"], ["m", "u + 5", "u + 24"], ["u", "n + 13", "n + 37"], ["n", "h + 7", "h + 44"], ["h", 9, "53"]], "target_var_name": "p", "target_value": 53, "value_dict": {"h": 9}, "is_reverse": true}} | 7,344 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = s + 3; z = k + 10; x = w + 17; v = x + 2; p = y + 6; n = h + 7; u = n + 13; m = u + 5; a = h + 20; w = a + 4; h = 9; s = m + 10; k = v + 1. If h = 9, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 3 to p, which gives p = s + 9.\n2. Substitute s = m + 10 to p, which gives p = m + 19.\n3. Substitute m = u + 5 to p, which gives p = u + 24.\n4. Substitute u = n + 13 to p, which gives p = n + 37.\n5. Substitute n = h + 7 to p, which gives p = h + 44.\n6. Substitute h = 9 to p, which gives p = 53.\n\nThus, the final answer is p = \\boxed{53}.",
"index": 7344,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = s + 3; z = k + 10; x = w + 17; v = x + 2; p = y + 6; n = h + 7; u = n + 13; m = u + 5; a = h + 20; w = a + 4; h = 9; s = m + 10; k = v + 1. If h = 9, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 16", "y": "i + 4", "v": "y + 12", "g": "v + 20", "s": "g + 14", "t": "s + 4", "e": "q + 11", "u": "e + 4", "l": "u + 13", "k": "l + 3", "x": "k + 10", "p": "x + 15", "q": 14}, "premises": {"q": 14}, "target": "t"}, "answer": {"steps": [["s", "g + 14", "g + 18"], ["g", "v + 20", "v + 38"], ["v", "y + 12", "y + 50"], ["y", "i + 4", "i + 54"], ["i", "q + 16", "q + 70"], ["q", 14, "84"]], "target_var_name": "t", "target_value": 84, "value_dict": {"q": 14}, "is_reverse": true}} | 7,345 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 4; e = q + 11; s = g + 14; y = i + 4; x = k + 10; k = l + 3; g = v + 20; q = 14; v = y + 12; u = e + 4; l = u + 13; i = q + 16; p = x + 15. If q = 14, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 14 to t, which gives t = g + 18.\n2. Substitute g = v + 20 to t, which gives t = v + 38.\n3. Substitute v = y + 12 to t, which gives t = y + 50.\n4. Substitute y = i + 4 to t, which gives t = i + 54.\n5. Substitute i = q + 16 to t, which gives t = q + 70.\n6. Substitute q = 14 to t, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 7345,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 4; e = q + 11; s = g + 14; y = i + 4; x = k + 10; k = l + 3; g = v + 20; q = 14; v = y + 12; u = e + 4; l = u + 13; i = q + 16; p = x + 15. If q = 14, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"m": "v + 9", "d": "m + 12", "e": "d + 12", "i": "e + 7", "y": "i + 2", "o": "y + 15", "j": "v + 10", "s": "j + 9", "n": "s + 9", "p": "n + 15", "h": "p + 10", "r": "h + 10", "v": 7}, "premises": {"v": 7}, "target": "o"}, "answer": {"steps": [["y", "i + 2", "i + 17"], ["i", "e + 7", "e + 24"], ["e", "d + 12", "d + 36"], ["d", "m + 12", "m + 48"], ["m", "v + 9", "v + 57"], ["v", 7, "64"]], "target_var_name": "o", "target_value": 64, "value_dict": {"v": 7}, "is_reverse": true}} | 7,346 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = v + 10; m = v + 9; e = d + 12; h = p + 10; s = j + 9; y = i + 2; p = n + 15; i = e + 7; d = m + 12; n = s + 9; r = h + 10; o = y + 15; v = 7. If v = 7, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 2 to o, which gives o = i + 17.\n2. Substitute i = e + 7 to o, which gives o = e + 24.\n3. Substitute e = d + 12 to o, which gives o = d + 36.\n4. Substitute d = m + 12 to o, which gives o = m + 48.\n5. Substitute m = v + 9 to o, which gives o = v + 57.\n6. Substitute v = 7 to o, which gives o = 64.\n\nThus, the final answer is o = \\boxed{64}.",
"index": 7346,
"question": "Consider a system of variables where each variable is defined as follows: j = v + 10; m = v + 9; e = d + 12; h = p + 10; s = j + 9; y = i + 2; p = n + 15; i = e + 7; d = m + 12; n = s + 9; r = h + 10; o = y + 15; v = 7. If v = 7, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 19", "m": "w + 19", "a": "m + 17", "d": "a + 3", "j": "d + 4", "b": "j + 16", "s": "k + 4", "z": "s + 8", "p": "z + 3", "x": "p + 5", "i": "x + 20", "t": "i + 16", "k": 11}, "premises": {"k": 11}, "target": "b"}, "answer": {"steps": [["j", "d + 4", "d + 20"], ["d", "a + 3", "a + 23"], ["a", "m + 17", "m + 40"], ["m", "w + 19", "w + 59"], ["w", "k + 19", "k + 78"], ["k", 11, "89"]], "target_var_name": "b", "target_value": 89, "value_dict": {"k": 11}, "is_reverse": true}} | 7,347 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = d + 4; a = m + 17; i = x + 20; p = z + 3; k = 11; z = s + 8; b = j + 16; x = p + 5; d = a + 3; s = k + 4; w = k + 19; m = w + 19; t = i + 16. Given that k = 11, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 4 to b, which gives b = d + 20.\n2. Substitute d = a + 3 to b, which gives b = a + 23.\n3. Substitute a = m + 17 to b, which gives b = m + 40.\n4. Substitute m = w + 19 to b, which gives b = w + 59.\n5. Substitute w = k + 19 to b, which gives b = k + 78.\n6. Substitute k = 11 to b, which gives b = 89.\n\nThus, the final answer is b = \\boxed{89}.",
"index": 7347,
"question": "Suppose a collection of variables is related by the following definitions: j = d + 4; a = m + 17; i = x + 20; p = z + 3; k = 11; z = s + 8; b = j + 16; x = p + 5; d = a + 3; s = k + 4; w = k + 19; m = w + 19; t = i + 16. Given that k = 11, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"y": "w + 14", "k": "y + 17", "v": "k + 9", "g": "v + 2", "t": "g + 20", "j": "t + 4", "x": "w + 13", "a": "x + 13", "r": "a + 13", "d": "r + 7", "i": "d + 15", "l": "i + 3", "w": 14}, "premises": {"w": 14}, "target": "j"}, "answer": {"steps": [["t", "g + 20", "g + 24"], ["g", "v + 2", "v + 26"], ["v", "k + 9", "k + 35"], ["k", "y + 17", "y + 52"], ["y", "w + 14", "w + 66"], ["w", 14, "80"]], "target_var_name": "j", "target_value": 80, "value_dict": {"w": 14}, "is_reverse": true}} | 7,348 | 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 = a + 13; x = w + 13; w = 14; y = w + 14; g = v + 2; l = i + 3; v = k + 9; j = t + 4; d = r + 7; k = y + 17; t = g + 20; i = d + 15; a = x + 13. If w = 14, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 20 to j, which gives j = g + 24.\n2. Substitute g = v + 2 to j, which gives j = v + 26.\n3. Substitute v = k + 9 to j, which gives j = k + 35.\n4. Substitute k = y + 17 to j, which gives j = y + 52.\n5. Substitute y = w + 14 to j, which gives j = w + 66.\n6. Substitute w = 14 to j, which gives j = 80.\n\nThus, the final answer is j = \\boxed{80}.",
"index": 7348,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = a + 13; x = w + 13; w = 14; y = w + 14; g = v + 2; l = i + 3; v = k + 9; j = t + 4; d = r + 7; k = y + 17; t = g + 20; i = d + 15; a = x + 13. If w = 14, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 15", "h": "a + 2", "d": "h + 19", "q": "d + 19", "i": "q + 6", "c": "i + 16", "n": "j + 13", "l": "n + 1", "e": "l + 12", "p": "e + 19", "f": "p + 12", "o": "f + 9", "j": 15}, "premises": {"j": 15}, "target": "c"}, "answer": {"steps": [["i", "q + 6", "q + 22"], ["q", "d + 19", "d + 41"], ["d", "h + 19", "h + 60"], ["h", "a + 2", "a + 62"], ["a", "j + 15", "j + 77"], ["j", 15, "92"]], "target_var_name": "c", "target_value": 92, "value_dict": {"j": 15}, "is_reverse": true}} | 7,349 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = h + 19; c = i + 16; h = a + 2; f = p + 12; p = e + 19; a = j + 15; i = q + 6; e = l + 12; o = f + 9; n = j + 13; j = 15; l = n + 1; q = d + 19. If j = 15, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 6 to c, which gives c = q + 22.\n2. Substitute q = d + 19 to c, which gives c = d + 41.\n3. Substitute d = h + 19 to c, which gives c = h + 60.\n4. Substitute h = a + 2 to c, which gives c = a + 62.\n5. Substitute a = j + 15 to c, which gives c = j + 77.\n6. Substitute j = 15 to c, which gives c = 92.\n\nThus, the final answer is c = \\boxed{92}.",
"index": 7349,
"question": "Consider a system of variables where each variable is defined as follows: d = h + 19; c = i + 16; h = a + 2; f = p + 12; p = e + 19; a = j + 15; i = q + 6; e = l + 12; o = f + 9; n = j + 13; j = 15; l = n + 1; q = d + 19. If j = 15, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 7", "r": "e + 2", "u": "r + 20", "f": "u + 17", "x": "f + 20", "h": "x + 13", "s": "i + 3", "q": "s + 19", "z": "q + 13", "m": "z + 19", "a": "m + 6", "l": "a + 14", "i": 12}, "premises": {"i": 12}, "target": "h"}, "answer": {"steps": [["x", "f + 20", "f + 33"], ["f", "u + 17", "u + 50"], ["u", "r + 20", "r + 70"], ["r", "e + 2", "e + 72"], ["e", "i + 7", "i + 79"], ["i", 12, "91"]], "target_var_name": "h", "target_value": 91, "value_dict": {"i": 12}, "is_reverse": true}} | 7,350 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = u + 17; u = r + 20; q = s + 19; h = x + 13; z = q + 13; s = i + 3; l = a + 14; r = e + 2; m = z + 19; a = m + 6; x = f + 20; i = 12; e = i + 7. If i = 12, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 20 to h, which gives h = f + 33.\n2. Substitute f = u + 17 to h, which gives h = u + 50.\n3. Substitute u = r + 20 to h, which gives h = r + 70.\n4. Substitute r = e + 2 to h, which gives h = e + 72.\n5. Substitute e = i + 7 to h, which gives h = i + 79.\n6. Substitute i = 12 to h, which gives h = 91.\n\nThus, the final answer is h = \\boxed{91}.",
"index": 7350,
"question": "Consider a system of variables where each variable is defined as follows: f = u + 17; u = r + 20; q = s + 19; h = x + 13; z = q + 13; s = i + 3; l = a + 14; r = e + 2; m = z + 19; a = m + 6; x = f + 20; i = 12; e = i + 7. If i = 12, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 12", "j": "c + 12", "q": "j + 16", "s": "q + 5", "t": "s + 20", "p": "t + 11", "h": "m + 7", "n": "h + 1", "i": "n + 8", "l": "i + 8", "v": "l + 12", "y": "v + 9", "m": 15}, "premises": {"m": 15}, "target": "p"}, "answer": {"steps": [["t", "s + 20", "s + 31"], ["s", "q + 5", "q + 36"], ["q", "j + 16", "j + 52"], ["j", "c + 12", "c + 64"], ["c", "m + 12", "m + 76"], ["m", 15, "91"]], "target_var_name": "p", "target_value": 91, "value_dict": {"m": 15}, "is_reverse": true}} | 7,351 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = m + 12; n = h + 1; m = 15; y = v + 9; v = l + 12; t = s + 20; q = j + 16; h = m + 7; l = i + 8; j = c + 12; p = t + 11; s = q + 5; i = n + 8. If m = 15, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 20 to p, which gives p = s + 31.\n2. Substitute s = q + 5 to p, which gives p = q + 36.\n3. Substitute q = j + 16 to p, which gives p = j + 52.\n4. Substitute j = c + 12 to p, which gives p = c + 64.\n5. Substitute c = m + 12 to p, which gives p = m + 76.\n6. Substitute m = 15 to p, which gives p = 91.\n\nThus, the final answer is p = \\boxed{91}.",
"index": 7351,
"question": "Consider a system of variables where each variable is defined as follows: c = m + 12; n = h + 1; m = 15; y = v + 9; v = l + 12; t = s + 20; q = j + 16; h = m + 7; l = i + 8; j = c + 12; p = t + 11; s = q + 5; i = n + 8. If m = 15, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 5", "q": "y + 16", "z": "q + 2", "r": "z + 4", "f": "r + 8", "t": "f + 14", "o": "c + 4", "v": "o + 7", "a": "v + 18", "u": "a + 19", "j": "u + 9", "s": "j + 8", "c": 4}, "premises": {"c": 4}, "target": "t"}, "answer": {"steps": [["f", "r + 8", "r + 22"], ["r", "z + 4", "z + 26"], ["z", "q + 2", "q + 28"], ["q", "y + 16", "y + 44"], ["y", "c + 5", "c + 49"], ["c", 4, "53"]], "target_var_name": "t", "target_value": 53, "value_dict": {"c": 4}, "is_reverse": true}} | 7,352 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = c + 4; r = z + 4; a = v + 18; t = f + 14; z = q + 2; s = j + 8; u = a + 19; j = u + 9; v = o + 7; c = 4; f = r + 8; y = c + 5; q = y + 16. Given that c = 4, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 8 to t, which gives t = r + 22.\n2. Substitute r = z + 4 to t, which gives t = z + 26.\n3. Substitute z = q + 2 to t, which gives t = q + 28.\n4. Substitute q = y + 16 to t, which gives t = y + 44.\n5. Substitute y = c + 5 to t, which gives t = c + 49.\n6. Substitute c = 4 to t, which gives t = 53.\n\nThus, the final answer is t = \\boxed{53}.",
"index": 7352,
"question": "Suppose a collection of variables is related by the following definitions: o = c + 4; r = z + 4; a = v + 18; t = f + 14; z = q + 2; s = j + 8; u = a + 19; j = u + 9; v = o + 7; c = 4; f = r + 8; y = c + 5; q = y + 16. Given that c = 4, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 11", "n": "k + 16", "a": "n + 2", "u": "a + 14", "e": "u + 14", "w": "e + 13", "t": "f + 8", "p": "t + 19", "h": "p + 9", "y": "h + 5", "x": "y + 11", "b": "x + 17", "f": 12}, "premises": {"f": 12}, "target": "w"}, "answer": {"steps": [["e", "u + 14", "u + 27"], ["u", "a + 14", "a + 41"], ["a", "n + 2", "n + 43"], ["n", "k + 16", "k + 59"], ["k", "f + 11", "f + 70"], ["f", 12, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"f": 12}, "is_reverse": true}} | 7,353 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = k + 16; u = a + 14; a = n + 2; e = u + 14; t = f + 8; x = y + 11; b = x + 17; f = 12; p = t + 19; w = e + 13; k = f + 11; y = h + 5; h = p + 9. If f = 12, 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 e = u + 14 to w, which gives w = u + 27.\n2. Substitute u = a + 14 to w, which gives w = a + 41.\n3. Substitute a = n + 2 to w, which gives w = n + 43.\n4. Substitute n = k + 16 to w, which gives w = k + 59.\n5. Substitute k = f + 11 to w, which gives w = f + 70.\n6. Substitute f = 12 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 7353,
"question": "Consider a system of variables where each variable is defined as follows: n = k + 16; u = a + 14; a = n + 2; e = u + 14; t = f + 8; x = y + 11; b = x + 17; f = 12; p = t + 19; w = e + 13; k = f + 11; y = h + 5; h = p + 9. If f = 12, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 17", "m": "q + 7", "n": "m + 14", "l": "n + 8", "e": "l + 4", "i": "e + 12", "g": "a + 7", "b": "g + 2", "z": "b + 11", "x": "z + 16", "v": "x + 6", "d": "v + 6", "a": 20}, "premises": {"a": 20}, "target": "i"}, "answer": {"steps": [["e", "l + 4", "l + 16"], ["l", "n + 8", "n + 24"], ["n", "m + 14", "m + 38"], ["m", "q + 7", "q + 45"], ["q", "a + 17", "a + 62"], ["a", 20, "82"]], "target_var_name": "i", "target_value": 82, "value_dict": {"a": 20}, "is_reverse": true}} | 7,354 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = q + 7; b = g + 2; g = a + 7; z = b + 11; d = v + 6; l = n + 8; n = m + 14; a = 20; i = e + 12; v = x + 6; x = z + 16; q = a + 17; e = l + 4. If a = 20, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 4 to i, which gives i = l + 16.\n2. Substitute l = n + 8 to i, which gives i = n + 24.\n3. Substitute n = m + 14 to i, which gives i = m + 38.\n4. Substitute m = q + 7 to i, which gives i = q + 45.\n5. Substitute q = a + 17 to i, which gives i = a + 62.\n6. Substitute a = 20 to i, which gives i = 82.\n\nThus, the final answer is i = \\boxed{82}.",
"index": 7354,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = q + 7; b = g + 2; g = a + 7; z = b + 11; d = v + 6; l = n + 8; n = m + 14; a = 20; i = e + 12; v = x + 6; x = z + 16; q = a + 17; e = l + 4. If a = 20, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"e": "w + 10", "t": "e + 16", "r": "t + 17", "z": "r + 2", "y": "z + 1", "q": "y + 11", "g": "w + 9", "v": "g + 10", "h": "v + 14", "b": "h + 10", "o": "b + 16", "i": "o + 6", "w": 10}, "premises": {"w": 10}, "target": "q"}, "answer": {"steps": [["y", "z + 1", "z + 12"], ["z", "r + 2", "r + 14"], ["r", "t + 17", "t + 31"], ["t", "e + 16", "e + 47"], ["e", "w + 10", "w + 57"], ["w", 10, "67"]], "target_var_name": "q", "target_value": 67, "value_dict": {"w": 10}, "is_reverse": true}} | 7,355 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = e + 16; h = v + 14; w = 10; o = b + 16; z = r + 2; q = y + 11; v = g + 10; b = h + 10; g = w + 9; r = t + 17; i = o + 6; y = z + 1; e = w + 10. If w = 10, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 1 to q, which gives q = z + 12.\n2. Substitute z = r + 2 to q, which gives q = r + 14.\n3. Substitute r = t + 17 to q, which gives q = t + 31.\n4. Substitute t = e + 16 to q, which gives q = e + 47.\n5. Substitute e = w + 10 to q, which gives q = w + 57.\n6. Substitute w = 10 to q, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 7355,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = e + 16; h = v + 14; w = 10; o = b + 16; z = r + 2; q = y + 11; v = g + 10; b = h + 10; g = w + 9; r = t + 17; i = o + 6; y = z + 1; e = w + 10. If w = 10, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 8", "w": "s + 4", "f": "w + 15", "j": "f + 20", "i": "j + 6", "v": "i + 20", "x": "u + 13", "n": "x + 6", "l": "n + 4", "g": "l + 8", "h": "g + 17", "k": "h + 5", "u": 8}, "premises": {"u": 8}, "target": "v"}, "answer": {"steps": [["i", "j + 6", "j + 26"], ["j", "f + 20", "f + 46"], ["f", "w + 15", "w + 61"], ["w", "s + 4", "s + 65"], ["s", "u + 8", "u + 73"], ["u", 8, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"u": 8}, "is_reverse": true}} | 7,356 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = w + 15; l = n + 4; s = u + 8; v = i + 20; g = l + 8; i = j + 6; w = s + 4; k = h + 5; h = g + 17; x = u + 13; j = f + 20; n = x + 6; u = 8. If u = 8, what is the resulting 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 i = j + 6 to v, which gives v = j + 26.\n2. Substitute j = f + 20 to v, which gives v = f + 46.\n3. Substitute f = w + 15 to v, which gives v = w + 61.\n4. Substitute w = s + 4 to v, which gives v = s + 65.\n5. Substitute s = u + 8 to v, which gives v = u + 73.\n6. Substitute u = 8 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 7356,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = w + 15; l = n + 4; s = u + 8; v = i + 20; g = l + 8; i = j + 6; w = s + 4; k = h + 5; h = g + 17; x = u + 13; j = f + 20; n = x + 6; u = 8. If u = 8, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 18", "p": "y + 17", "r": "p + 12", "u": "r + 14", "b": "u + 5", "s": "b + 16", "z": "f + 10", "j": "z + 19", "n": "j + 10", "l": "n + 9", "k": "l + 10", "h": "k + 1", "f": 2}, "premises": {"f": 2}, "target": "s"}, "answer": {"steps": [["b", "u + 5", "u + 21"], ["u", "r + 14", "r + 35"], ["r", "p + 12", "p + 47"], ["p", "y + 17", "y + 64"], ["y", "f + 18", "f + 82"], ["f", 2, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"f": 2}, "is_reverse": true}} | 7,357 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = k + 1; k = l + 10; r = p + 12; s = b + 16; n = j + 10; l = n + 9; p = y + 17; y = f + 18; f = 2; b = u + 5; u = r + 14; z = f + 10; j = z + 19. If f = 2, determine 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 = u + 5 to s, which gives s = u + 21.\n2. Substitute u = r + 14 to s, which gives s = r + 35.\n3. Substitute r = p + 12 to s, which gives s = p + 47.\n4. Substitute p = y + 17 to s, which gives s = y + 64.\n5. Substitute y = f + 18 to s, which gives s = f + 82.\n6. Substitute f = 2 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 7357,
"question": "Consider a system of variables where each variable is defined as follows: h = k + 1; k = l + 10; r = p + 12; s = b + 16; n = j + 10; l = n + 9; p = y + 17; y = f + 18; f = 2; b = u + 5; u = r + 14; z = f + 10; j = z + 19. If f = 2, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"a": "s + 16", "h": "a + 2", "w": "h + 12", "b": "w + 10", "t": "b + 3", "m": "t + 2", "p": "s + 16", "i": "p + 18", "u": "i + 2", "f": "u + 8", "y": "f + 7", "l": "y + 12", "s": 16}, "premises": {"s": 16}, "target": "m"}, "answer": {"steps": [["t", "b + 3", "b + 5"], ["b", "w + 10", "w + 15"], ["w", "h + 12", "h + 27"], ["h", "a + 2", "a + 29"], ["a", "s + 16", "s + 45"], ["s", 16, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"s": 16}, "is_reverse": true}} | 7,358 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = u + 8; i = p + 18; t = b + 3; u = i + 2; y = f + 7; m = t + 2; a = s + 16; b = w + 10; l = y + 12; w = h + 12; h = a + 2; s = 16; p = s + 16. Given that s = 16, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = b + 3 to m, which gives m = b + 5.\n2. Substitute b = w + 10 to m, which gives m = w + 15.\n3. Substitute w = h + 12 to m, which gives m = h + 27.\n4. Substitute h = a + 2 to m, which gives m = a + 29.\n5. Substitute a = s + 16 to m, which gives m = s + 45.\n6. Substitute s = 16 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 7358,
"question": "Suppose a collection of variables is related by the following definitions: f = u + 8; i = p + 18; t = b + 3; u = i + 2; y = f + 7; m = t + 2; a = s + 16; b = w + 10; l = y + 12; w = h + 12; h = a + 2; s = 16; p = s + 16. Given that s = 16, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 12", "b": "h + 15", "y": "b + 6", "p": "y + 9", "n": "p + 2", "a": "n + 15", "r": "v + 4", "s": "r + 9", "o": "s + 15", "g": "o + 15", "j": "g + 12", "c": "j + 15", "v": 18}, "premises": {"v": 18}, "target": "a"}, "answer": {"steps": [["n", "p + 2", "p + 17"], ["p", "y + 9", "y + 26"], ["y", "b + 6", "b + 32"], ["b", "h + 15", "h + 47"], ["h", "v + 12", "v + 59"], ["v", 18, "77"]], "target_var_name": "a", "target_value": 77, "value_dict": {"v": 18}, "is_reverse": true}} | 7,359 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = p + 2; j = g + 12; h = v + 12; a = n + 15; v = 18; o = s + 15; c = j + 15; g = o + 15; y = b + 6; r = v + 4; s = r + 9; p = y + 9; b = h + 15. If v = 18, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 2 to a, which gives a = p + 17.\n2. Substitute p = y + 9 to a, which gives a = y + 26.\n3. Substitute y = b + 6 to a, which gives a = b + 32.\n4. Substitute b = h + 15 to a, which gives a = h + 47.\n5. Substitute h = v + 12 to a, which gives a = v + 59.\n6. Substitute v = 18 to a, which gives a = 77.\n\nThus, the final answer is a = \\boxed{77}.",
"index": 7359,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = p + 2; j = g + 12; h = v + 12; a = n + 15; v = 18; o = s + 15; c = j + 15; g = o + 15; y = b + 6; r = v + 4; s = r + 9; p = y + 9; b = h + 15. If v = 18, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 16", "v": "a + 17", "x": "v + 6", "l": "x + 11", "t": "l + 5", "n": "t + 9", "i": "m + 3", "z": "i + 2", "s": "z + 6", "y": "s + 9", "q": "y + 16", "p": "q + 1", "m": 19}, "premises": {"m": 19}, "target": "n"}, "answer": {"steps": [["t", "l + 5", "l + 14"], ["l", "x + 11", "x + 25"], ["x", "v + 6", "v + 31"], ["v", "a + 17", "a + 48"], ["a", "m + 16", "m + 64"], ["m", 19, "83"]], "target_var_name": "n", "target_value": 83, "value_dict": {"m": 19}, "is_reverse": true}} | 7,360 | 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 = t + 9; l = x + 11; t = l + 5; p = q + 1; s = z + 6; q = y + 16; y = s + 9; a = m + 16; v = a + 17; z = i + 2; i = m + 3; m = 19; x = v + 6. If m = 19, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 5 to n, which gives n = l + 14.\n2. Substitute l = x + 11 to n, which gives n = x + 25.\n3. Substitute x = v + 6 to n, which gives n = v + 31.\n4. Substitute v = a + 17 to n, which gives n = a + 48.\n5. Substitute a = m + 16 to n, which gives n = m + 64.\n6. Substitute m = 19 to n, which gives n = 83.\n\nThus, the final answer is n = \\boxed{83}.",
"index": 7360,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 9; l = x + 11; t = l + 5; p = q + 1; s = z + 6; q = y + 16; y = s + 9; a = m + 16; v = a + 17; z = i + 2; i = m + 3; m = 19; x = v + 6. If m = 19, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 15", "r": "f + 10", "o": "r + 14", "e": "o + 11", "v": "e + 11", "p": "v + 10", "j": "a + 16", "i": "j + 19", "w": "i + 16", "m": "w + 16", "y": "m + 13", "d": "y + 15", "a": 15}, "premises": {"a": 15}, "target": "p"}, "answer": {"steps": [["v", "e + 11", "e + 21"], ["e", "o + 11", "o + 32"], ["o", "r + 14", "r + 46"], ["r", "f + 10", "f + 56"], ["f", "a + 15", "a + 71"], ["a", 15, "86"]], "target_var_name": "p", "target_value": 86, "value_dict": {"a": 15}, "is_reverse": true}} | 7,361 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = e + 11; y = m + 13; j = a + 16; i = j + 19; r = f + 10; d = y + 15; m = w + 16; f = a + 15; e = o + 11; o = r + 14; w = i + 16; a = 15; p = v + 10. Given that a = 15, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 11 to p, which gives p = e + 21.\n2. Substitute e = o + 11 to p, which gives p = o + 32.\n3. Substitute o = r + 14 to p, which gives p = r + 46.\n4. Substitute r = f + 10 to p, which gives p = f + 56.\n5. Substitute f = a + 15 to p, which gives p = a + 71.\n6. Substitute a = 15 to p, which gives p = 86.\n\nThus, the final answer is p = \\boxed{86}.",
"index": 7361,
"question": "Suppose a collection of variables is related by the following definitions: v = e + 11; y = m + 13; j = a + 16; i = j + 19; r = f + 10; d = y + 15; m = w + 16; f = a + 15; e = o + 11; o = r + 14; w = i + 16; a = 15; p = v + 10. Given that a = 15, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 14", "j": "s + 6", "u": "j + 7", "h": "u + 11", "z": "h + 16", "i": "z + 8", "p": "e + 5", "m": "p + 2", "x": "m + 17", "a": "x + 5", "c": "a + 10", "y": "c + 9", "e": 14}, "premises": {"e": 14}, "target": "i"}, "answer": {"steps": [["z", "h + 16", "h + 24"], ["h", "u + 11", "u + 35"], ["u", "j + 7", "j + 42"], ["j", "s + 6", "s + 48"], ["s", "e + 14", "e + 62"], ["e", 14, "76"]], "target_var_name": "i", "target_value": 76, "value_dict": {"e": 14}, "is_reverse": true}} | 7,362 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = s + 6; z = h + 16; y = c + 9; s = e + 14; a = x + 5; m = p + 2; x = m + 17; u = j + 7; h = u + 11; p = e + 5; i = z + 8; c = a + 10; e = 14. If e = 14, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 16 to i, which gives i = h + 24.\n2. Substitute h = u + 11 to i, which gives i = u + 35.\n3. Substitute u = j + 7 to i, which gives i = j + 42.\n4. Substitute j = s + 6 to i, which gives i = s + 48.\n5. Substitute s = e + 14 to i, which gives i = e + 62.\n6. Substitute e = 14 to i, which gives i = 76.\n\nThus, the final answer is i = \\boxed{76}.",
"index": 7362,
"question": "Consider a system of variables where each variable is defined as follows: j = s + 6; z = h + 16; y = c + 9; s = e + 14; a = x + 5; m = p + 2; x = m + 17; u = j + 7; h = u + 11; p = e + 5; i = z + 8; c = a + 10; e = 14. If e = 14, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 9", "u": "l + 14", "s": "u + 18", "w": "s + 2", "e": "w + 11", "z": "e + 15", "o": "x + 13", "p": "o + 5", "r": "p + 6", "q": "r + 13", "c": "q + 14", "a": "c + 11", "x": 19}, "premises": {"x": 19}, "target": "z"}, "answer": {"steps": [["e", "w + 11", "w + 26"], ["w", "s + 2", "s + 28"], ["s", "u + 18", "u + 46"], ["u", "l + 14", "l + 60"], ["l", "x + 9", "x + 69"], ["x", 19, "88"]], "target_var_name": "z", "target_value": 88, "value_dict": {"x": 19}, "is_reverse": true}} | 7,363 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 14; x = 19; l = x + 9; p = o + 5; o = x + 13; e = w + 11; a = c + 11; q = r + 13; u = l + 14; z = e + 15; w = s + 2; s = u + 18; r = p + 6. If x = 19, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 11 to z, which gives z = w + 26.\n2. Substitute w = s + 2 to z, which gives z = s + 28.\n3. Substitute s = u + 18 to z, which gives z = u + 46.\n4. Substitute u = l + 14 to z, which gives z = l + 60.\n5. Substitute l = x + 9 to z, which gives z = x + 69.\n6. Substitute x = 19 to z, which gives z = 88.\n\nThus, the final answer is z = \\boxed{88}.",
"index": 7363,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 14; x = 19; l = x + 9; p = o + 5; o = x + 13; e = w + 11; a = c + 11; q = r + 13; u = l + 14; z = e + 15; w = s + 2; s = u + 18; r = p + 6. If x = 19, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 16", "t": "e + 2", "s": "t + 4", "j": "s + 13", "r": "j + 9", "b": "r + 15", "y": "d + 7", "c": "y + 15", "w": "c + 13", "f": "w + 11", "h": "f + 18", "k": "h + 20", "d": 8}, "premises": {"d": 8}, "target": "b"}, "answer": {"steps": [["r", "j + 9", "j + 24"], ["j", "s + 13", "s + 37"], ["s", "t + 4", "t + 41"], ["t", "e + 2", "e + 43"], ["e", "d + 16", "d + 59"], ["d", 8, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"d": 8}, "is_reverse": true}} | 7,364 | 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 = e + 2; h = f + 18; w = c + 13; j = s + 13; y = d + 7; e = d + 16; r = j + 9; b = r + 15; s = t + 4; k = h + 20; c = y + 15; f = w + 11; d = 8. If d = 8, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 9 to b, which gives b = j + 24.\n2. Substitute j = s + 13 to b, which gives b = s + 37.\n3. Substitute s = t + 4 to b, which gives b = t + 41.\n4. Substitute t = e + 2 to b, which gives b = e + 43.\n5. Substitute e = d + 16 to b, which gives b = d + 59.\n6. Substitute d = 8 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 7364,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = e + 2; h = f + 18; w = c + 13; j = s + 13; y = d + 7; e = d + 16; r = j + 9; b = r + 15; s = t + 4; k = h + 20; c = y + 15; f = w + 11; d = 8. If d = 8, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 7", "f": "d + 2", "i": "f + 12", "b": "i + 7", "y": "b + 19", "q": "y + 13", "g": "t + 5", "c": "g + 20", "j": "c + 18", "h": "j + 16", "p": "h + 5", "s": "p + 12", "t": 10}, "premises": {"t": 10}, "target": "q"}, "answer": {"steps": [["y", "b + 19", "b + 32"], ["b", "i + 7", "i + 39"], ["i", "f + 12", "f + 51"], ["f", "d + 2", "d + 53"], ["d", "t + 7", "t + 60"], ["t", 10, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"t": 10}, "is_reverse": true}} | 7,365 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = g + 20; b = i + 7; h = j + 16; i = f + 12; q = y + 13; d = t + 7; s = p + 12; g = t + 5; t = 10; p = h + 5; j = c + 18; y = b + 19; f = d + 2. If t = 10, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 19 to q, which gives q = b + 32.\n2. Substitute b = i + 7 to q, which gives q = i + 39.\n3. Substitute i = f + 12 to q, which gives q = f + 51.\n4. Substitute f = d + 2 to q, which gives q = d + 53.\n5. Substitute d = t + 7 to q, which gives q = t + 60.\n6. Substitute t = 10 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 7365,
"question": "Consider a system of variables where each variable is defined as follows: c = g + 20; b = i + 7; h = j + 16; i = f + 12; q = y + 13; d = t + 7; s = p + 12; g = t + 5; t = 10; p = h + 5; j = c + 18; y = b + 19; f = d + 2. If t = 10, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"y": "v + 18", "o": "y + 11", "i": "o + 8", "n": "i + 16", "b": "n + 4", "s": "b + 10", "d": "v + 5", "w": "d + 2", "r": "w + 7", "g": "r + 2", "k": "g + 20", "e": "k + 6", "v": 10}, "premises": {"v": 10}, "target": "s"}, "answer": {"steps": [["b", "n + 4", "n + 14"], ["n", "i + 16", "i + 30"], ["i", "o + 8", "o + 38"], ["o", "y + 11", "y + 49"], ["y", "v + 18", "v + 67"], ["v", 10, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"v": 10}, "is_reverse": true}} | 7,366 | 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 = b + 10; k = g + 20; y = v + 18; v = 10; g = r + 2; r = w + 7; o = y + 11; i = o + 8; e = k + 6; b = n + 4; w = d + 2; d = v + 5; n = i + 16. If v = 10, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 4 to s, which gives s = n + 14.\n2. Substitute n = i + 16 to s, which gives s = i + 30.\n3. Substitute i = o + 8 to s, which gives s = o + 38.\n4. Substitute o = y + 11 to s, which gives s = y + 49.\n5. Substitute y = v + 18 to s, which gives s = v + 67.\n6. Substitute v = 10 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 7366,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = b + 10; k = g + 20; y = v + 18; v = 10; g = r + 2; r = w + 7; o = y + 11; i = o + 8; e = k + 6; b = n + 4; w = d + 2; d = v + 5; n = i + 16. If v = 10, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 18", "l": "a + 10", "m": "l + 2", "r": "m + 4", "f": "r + 14", "q": "f + 19", "j": "g + 19", "u": "j + 12", "k": "u + 13", "c": "k + 19", "b": "c + 10", "w": "b + 2", "g": 12}, "premises": {"g": 12}, "target": "q"}, "answer": {"steps": [["f", "r + 14", "r + 33"], ["r", "m + 4", "m + 37"], ["m", "l + 2", "l + 39"], ["l", "a + 10", "a + 49"], ["a", "g + 18", "g + 67"], ["g", 12, "79"]], "target_var_name": "q", "target_value": 79, "value_dict": {"g": 12}, "is_reverse": true}} | 7,367 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = g + 18; k = u + 13; w = b + 2; f = r + 14; c = k + 19; u = j + 12; j = g + 19; q = f + 19; g = 12; l = a + 10; m = l + 2; b = c + 10; r = m + 4. If g = 12, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 14 to q, which gives q = r + 33.\n2. Substitute r = m + 4 to q, which gives q = m + 37.\n3. Substitute m = l + 2 to q, which gives q = l + 39.\n4. Substitute l = a + 10 to q, which gives q = a + 49.\n5. Substitute a = g + 18 to q, which gives q = g + 67.\n6. Substitute g = 12 to q, which gives q = 79.\n\nThus, the final answer is q = \\boxed{79}.",
"index": 7367,
"question": "Consider a system of variables where each variable is defined as follows: a = g + 18; k = u + 13; w = b + 2; f = r + 14; c = k + 19; u = j + 12; j = g + 19; q = f + 19; g = 12; l = a + 10; m = l + 2; b = c + 10; r = m + 4. If g = 12, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 5", "b": "w + 7", "j": "b + 2", "s": "j + 16", "g": "s + 11", "l": "g + 16", "m": "i + 11", "r": "m + 2", "c": "r + 10", "e": "c + 18", "y": "e + 18", "h": "y + 6", "i": 13}, "premises": {"i": 13}, "target": "l"}, "answer": {"steps": [["g", "s + 11", "s + 27"], ["s", "j + 16", "j + 43"], ["j", "b + 2", "b + 45"], ["b", "w + 7", "w + 52"], ["w", "i + 5", "i + 57"], ["i", 13, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"i": 13}, "is_reverse": true}} | 7,368 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = r + 10; r = m + 2; l = g + 16; s = j + 16; b = w + 7; w = i + 5; y = e + 18; i = 13; g = s + 11; j = b + 2; e = c + 18; m = i + 11; h = y + 6. Given that i = 13, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 11 to l, which gives l = s + 27.\n2. Substitute s = j + 16 to l, which gives l = j + 43.\n3. Substitute j = b + 2 to l, which gives l = b + 45.\n4. Substitute b = w + 7 to l, which gives l = w + 52.\n5. Substitute w = i + 5 to l, which gives l = i + 57.\n6. Substitute i = 13 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 7368,
"question": "Suppose a collection of variables is related by the following definitions: c = r + 10; r = m + 2; l = g + 16; s = j + 16; b = w + 7; w = i + 5; y = e + 18; i = 13; g = s + 11; j = b + 2; e = c + 18; m = i + 11; h = y + 6. Given that i = 13, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 20", "s": "j + 17", "m": "s + 2", "i": "m + 8", "t": "i + 8", "o": "t + 13", "g": "x + 5", "u": "g + 12", "l": "u + 14", "a": "l + 9", "e": "a + 6", "b": "e + 10", "x": 3}, "premises": {"x": 3}, "target": "o"}, "answer": {"steps": [["t", "i + 8", "i + 21"], ["i", "m + 8", "m + 29"], ["m", "s + 2", "s + 31"], ["s", "j + 17", "j + 48"], ["j", "x + 20", "x + 68"], ["x", 3, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"x": 3}, "is_reverse": true}} | 7,369 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = x + 20; o = t + 13; t = i + 8; e = a + 6; i = m + 8; x = 3; b = e + 10; m = s + 2; a = l + 9; u = g + 12; s = j + 17; g = x + 5; l = u + 14. If x = 3, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 8 to o, which gives o = i + 21.\n2. Substitute i = m + 8 to o, which gives o = m + 29.\n3. Substitute m = s + 2 to o, which gives o = s + 31.\n4. Substitute s = j + 17 to o, which gives o = j + 48.\n5. Substitute j = x + 20 to o, which gives o = x + 68.\n6. Substitute x = 3 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 7369,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = x + 20; o = t + 13; t = i + 8; e = a + 6; i = m + 8; x = 3; b = e + 10; m = s + 2; a = l + 9; u = g + 12; s = j + 17; g = x + 5; l = u + 14. If x = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 2", "l": "x + 2", "b": "l + 8", "y": "b + 5", "j": "y + 19", "r": "j + 20", "o": "e + 1", "h": "o + 15", "m": "h + 13", "d": "m + 10", "f": "d + 14", "q": "f + 4", "e": 18}, "premises": {"e": 18}, "target": "r"}, "answer": {"steps": [["j", "y + 19", "y + 39"], ["y", "b + 5", "b + 44"], ["b", "l + 8", "l + 52"], ["l", "x + 2", "x + 54"], ["x", "e + 2", "e + 56"], ["e", 18, "74"]], "target_var_name": "r", "target_value": 74, "value_dict": {"e": 18}, "is_reverse": true}} | 7,370 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = b + 5; o = e + 1; q = f + 4; d = m + 10; x = e + 2; h = o + 15; b = l + 8; m = h + 13; j = y + 19; r = j + 20; e = 18; f = d + 14; l = x + 2. If e = 18, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 19 to r, which gives r = y + 39.\n2. Substitute y = b + 5 to r, which gives r = b + 44.\n3. Substitute b = l + 8 to r, which gives r = l + 52.\n4. Substitute l = x + 2 to r, which gives r = x + 54.\n5. Substitute x = e + 2 to r, which gives r = e + 56.\n6. Substitute e = 18 to r, which gives r = 74.\n\nThus, the final answer is r = \\boxed{74}.",
"index": 7370,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = b + 5; o = e + 1; q = f + 4; d = m + 10; x = e + 2; h = o + 15; b = l + 8; m = h + 13; j = y + 19; r = j + 20; e = 18; f = d + 14; l = x + 2. If e = 18, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"w": "m + 20", "u": "w + 7", "k": "u + 7", "l": "k + 16", "x": "l + 20", "r": "x + 10", "n": "m + 12", "a": "n + 3", "d": "a + 19", "f": "d + 2", "j": "f + 6", "t": "j + 16", "m": 16}, "premises": {"m": 16}, "target": "r"}, "answer": {"steps": [["x", "l + 20", "l + 30"], ["l", "k + 16", "k + 46"], ["k", "u + 7", "u + 53"], ["u", "w + 7", "w + 60"], ["w", "m + 20", "m + 80"], ["m", 16, "96"]], "target_var_name": "r", "target_value": 96, "value_dict": {"m": 16}, "is_reverse": true}} | 7,371 | 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 = x + 10; u = w + 7; n = m + 12; j = f + 6; a = n + 3; f = d + 2; w = m + 20; l = k + 16; x = l + 20; k = u + 7; t = j + 16; d = a + 19; m = 16. If m = 16, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 20 to r, which gives r = l + 30.\n2. Substitute l = k + 16 to r, which gives r = k + 46.\n3. Substitute k = u + 7 to r, which gives r = u + 53.\n4. Substitute u = w + 7 to r, which gives r = w + 60.\n5. Substitute w = m + 20 to r, which gives r = m + 80.\n6. Substitute m = 16 to r, which gives r = 96.\n\nThus, the final answer is r = \\boxed{96}.",
"index": 7371,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = x + 10; u = w + 7; n = m + 12; j = f + 6; a = n + 3; f = d + 2; w = m + 20; l = k + 16; x = l + 20; k = u + 7; t = j + 16; d = a + 19; m = 16. If m = 16, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 13", "v": "g + 15", "n": "v + 10", "f": "n + 3", "k": "f + 16", "z": "k + 2", "s": "l + 5", "m": "s + 4", "y": "m + 11", "x": "y + 8", "t": "x + 12", "o": "t + 7", "l": 19}, "premises": {"l": 19}, "target": "z"}, "answer": {"steps": [["k", "f + 16", "f + 18"], ["f", "n + 3", "n + 21"], ["n", "v + 10", "v + 31"], ["v", "g + 15", "g + 46"], ["g", "l + 13", "l + 59"], ["l", 19, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"l": 19}, "is_reverse": true}} | 7,372 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 8; y = m + 11; o = t + 7; v = g + 15; m = s + 4; t = x + 12; z = k + 2; l = 19; s = l + 5; f = n + 3; g = l + 13; k = f + 16; n = v + 10. Given that l = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 16 to z, which gives z = f + 18.\n2. Substitute f = n + 3 to z, which gives z = n + 21.\n3. Substitute n = v + 10 to z, which gives z = v + 31.\n4. Substitute v = g + 15 to z, which gives z = g + 46.\n5. Substitute g = l + 13 to z, which gives z = l + 59.\n6. Substitute l = 19 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 7372,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 8; y = m + 11; o = t + 7; v = g + 15; m = s + 4; t = x + 12; z = k + 2; l = 19; s = l + 5; f = n + 3; g = l + 13; k = f + 16; n = v + 10. Given that l = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 7", "k": "s + 2", "f": "k + 4", "g": "f + 8", "o": "g + 15", "e": "o + 3", "d": "l + 14", "x": "d + 20", "m": "x + 8", "a": "m + 13", "h": "a + 15", "j": "h + 5", "l": 17}, "premises": {"l": 17}, "target": "e"}, "answer": {"steps": [["o", "g + 15", "g + 18"], ["g", "f + 8", "f + 26"], ["f", "k + 4", "k + 30"], ["k", "s + 2", "s + 32"], ["s", "l + 7", "l + 39"], ["l", 17, "56"]], "target_var_name": "e", "target_value": 56, "value_dict": {"l": 17}, "is_reverse": true}} | 7,373 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 15; d = l + 14; f = k + 4; l = 17; g = f + 8; e = o + 3; k = s + 2; o = g + 15; x = d + 20; j = h + 5; s = l + 7; a = m + 13; m = x + 8. If l = 17, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 15 to e, which gives e = g + 18.\n2. Substitute g = f + 8 to e, which gives e = f + 26.\n3. Substitute f = k + 4 to e, which gives e = k + 30.\n4. Substitute k = s + 2 to e, which gives e = s + 32.\n5. Substitute s = l + 7 to e, which gives e = l + 39.\n6. Substitute l = 17 to e, which gives e = 56.\n\nThus, the final answer is e = \\boxed{56}.",
"index": 7373,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 15; d = l + 14; f = k + 4; l = 17; g = f + 8; e = o + 3; k = s + 2; o = g + 15; x = d + 20; j = h + 5; s = l + 7; a = m + 13; m = x + 8. If l = 17, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 14", "h": "v + 13", "p": "h + 11", "j": "p + 19", "x": "j + 5", "a": "x + 1", "c": "q + 10", "e": "c + 2", "k": "e + 6", "s": "k + 2", "u": "s + 5", "w": "u + 3", "q": 1}, "premises": {"q": 1}, "target": "a"}, "answer": {"steps": [["x", "j + 5", "j + 6"], ["j", "p + 19", "p + 25"], ["p", "h + 11", "h + 36"], ["h", "v + 13", "v + 49"], ["v", "q + 14", "q + 63"], ["q", 1, "64"]], "target_var_name": "a", "target_value": 64, "value_dict": {"q": 1}, "is_reverse": true}} | 7,374 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 1; w = u + 3; v = q + 14; c = q + 10; p = h + 11; j = p + 19; s = k + 2; a = x + 1; u = s + 5; k = e + 6; x = j + 5; e = c + 2; h = v + 13. If q = 1, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 5 to a, which gives a = j + 6.\n2. Substitute j = p + 19 to a, which gives a = p + 25.\n3. Substitute p = h + 11 to a, which gives a = h + 36.\n4. Substitute h = v + 13 to a, which gives a = v + 49.\n5. Substitute v = q + 14 to a, which gives a = q + 63.\n6. Substitute q = 1 to a, which gives a = 64.\n\nThus, the final answer is a = \\boxed{64}.",
"index": 7374,
"question": "Consider a system of variables where each variable is defined as follows: q = 1; w = u + 3; v = q + 14; c = q + 10; p = h + 11; j = p + 19; s = k + 2; a = x + 1; u = s + 5; k = e + 6; x = j + 5; e = c + 2; h = v + 13. If q = 1, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 6", "d": "f + 15", "q": "d + 20", "v": "q + 10", "l": "v + 18", "e": "l + 16", "u": "h + 12", "m": "u + 2", "g": "m + 20", "k": "g + 2", "i": "k + 2", "n": "i + 14", "h": 15}, "premises": {"h": 15}, "target": "e"}, "answer": {"steps": [["l", "v + 18", "v + 34"], ["v", "q + 10", "q + 44"], ["q", "d + 20", "d + 64"], ["d", "f + 15", "f + 79"], ["f", "h + 6", "h + 85"], ["h", 15, "100"]], "target_var_name": "e", "target_value": 100, "value_dict": {"h": 15}, "is_reverse": true}} | 7,375 | 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; e = l + 16; u = h + 12; k = g + 2; v = q + 10; q = d + 20; g = m + 20; l = v + 18; m = u + 2; i = k + 2; d = f + 15; n = i + 14; f = h + 6. If h = 15, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 18 to e, which gives e = v + 34.\n2. Substitute v = q + 10 to e, which gives e = q + 44.\n3. Substitute q = d + 20 to e, which gives e = d + 64.\n4. Substitute d = f + 15 to e, which gives e = f + 79.\n5. Substitute f = h + 6 to e, which gives e = h + 85.\n6. Substitute h = 15 to e, which gives e = 100.\n\nThus, the final answer is e = \\boxed{100}.",
"index": 7375,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 15; e = l + 16; u = h + 12; k = g + 2; v = q + 10; q = d + 20; g = m + 20; l = v + 18; m = u + 2; i = k + 2; d = f + 15; n = i + 14; f = h + 6. If h = 15, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 5", "y": "c + 16", "k": "y + 1", "a": "k + 6", "z": "a + 13", "j": "z + 19", "e": "f + 1", "x": "e + 16", "g": "x + 19", "b": "g + 2", "n": "b + 20", "h": "n + 6", "f": 1}, "premises": {"f": 1}, "target": "j"}, "answer": {"steps": [["z", "a + 13", "a + 32"], ["a", "k + 6", "k + 38"], ["k", "y + 1", "y + 39"], ["y", "c + 16", "c + 55"], ["c", "f + 5", "f + 60"], ["f", 1, "61"]], "target_var_name": "j", "target_value": 61, "value_dict": {"f": 1}, "is_reverse": true}} | 7,376 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 6; f = 1; k = y + 1; c = f + 5; b = g + 2; a = k + 6; x = e + 16; n = b + 20; y = c + 16; g = x + 19; z = a + 13; j = z + 19; e = f + 1. If f = 1, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 13 to j, which gives j = a + 32.\n2. Substitute a = k + 6 to j, which gives j = k + 38.\n3. Substitute k = y + 1 to j, which gives j = y + 39.\n4. Substitute y = c + 16 to j, which gives j = c + 55.\n5. Substitute c = f + 5 to j, which gives j = f + 60.\n6. Substitute f = 1 to j, which gives j = 61.\n\nThus, the final answer is j = \\boxed{61}.",
"index": 7376,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 6; f = 1; k = y + 1; c = f + 5; b = g + 2; a = k + 6; x = e + 16; n = b + 20; y = c + 16; g = x + 19; z = a + 13; j = z + 19; e = f + 1. If f = 1, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 12", "o": "s + 2", "z": "o + 19", "q": "z + 18", "c": "q + 7", "k": "c + 10", "r": "n + 16", "u": "r + 13", "f": "u + 6", "m": "f + 14", "b": "m + 19", "i": "b + 13", "n": 7}, "premises": {"n": 7}, "target": "k"}, "answer": {"steps": [["c", "q + 7", "q + 17"], ["q", "z + 18", "z + 35"], ["z", "o + 19", "o + 54"], ["o", "s + 2", "s + 56"], ["s", "n + 12", "n + 68"], ["n", 7, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"n": 7}, "is_reverse": true}} | 7,377 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = f + 14; b = m + 19; n = 7; f = u + 6; c = q + 7; u = r + 13; r = n + 16; k = c + 10; o = s + 2; s = n + 12; i = b + 13; z = o + 19; q = z + 18. Given that n = 7, 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 c = q + 7 to k, which gives k = q + 17.\n2. Substitute q = z + 18 to k, which gives k = z + 35.\n3. Substitute z = o + 19 to k, which gives k = o + 54.\n4. Substitute o = s + 2 to k, which gives k = s + 56.\n5. Substitute s = n + 12 to k, which gives k = n + 68.\n6. Substitute n = 7 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 7377,
"question": "Suppose a collection of variables is related by the following definitions: m = f + 14; b = m + 19; n = 7; f = u + 6; c = q + 7; u = r + 13; r = n + 16; k = c + 10; o = s + 2; s = n + 12; i = b + 13; z = o + 19; q = z + 18. Given that n = 7, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"j": "u + 11", "x": "j + 9", "o": "x + 17", "w": "o + 5", "c": "w + 11", "t": "c + 9", "k": "u + 1", "n": "k + 16", "v": "n + 6", "s": "v + 1", "q": "s + 4", "d": "q + 5", "u": 15}, "premises": {"u": 15}, "target": "t"}, "answer": {"steps": [["c", "w + 11", "w + 20"], ["w", "o + 5", "o + 25"], ["o", "x + 17", "x + 42"], ["x", "j + 9", "j + 51"], ["j", "u + 11", "u + 62"], ["u", 15, "77"]], "target_var_name": "t", "target_value": 77, "value_dict": {"u": 15}, "is_reverse": true}} | 7,378 | 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 = x + 17; q = s + 4; k = u + 1; u = 15; v = n + 6; n = k + 16; t = c + 9; s = v + 1; c = w + 11; j = u + 11; x = j + 9; d = q + 5; w = o + 5. If u = 15, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 11 to t, which gives t = w + 20.\n2. Substitute w = o + 5 to t, which gives t = o + 25.\n3. Substitute o = x + 17 to t, which gives t = x + 42.\n4. Substitute x = j + 9 to t, which gives t = j + 51.\n5. Substitute j = u + 11 to t, which gives t = u + 62.\n6. Substitute u = 15 to t, which gives t = 77.\n\nThus, the final answer is t = \\boxed{77}.",
"index": 7378,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = x + 17; q = s + 4; k = u + 1; u = 15; v = n + 6; n = k + 16; t = c + 9; s = v + 1; c = w + 11; j = u + 11; x = j + 9; d = q + 5; w = o + 5. If u = 15, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 19", "a": "e + 12", "d": "a + 13", "k": "d + 15", "f": "k + 6", "h": "f + 5", "p": "i + 15", "g": "p + 19", "s": "g + 14", "n": "s + 11", "l": "n + 12", "u": "l + 8", "i": 6}, "premises": {"i": 6}, "target": "h"}, "answer": {"steps": [["f", "k + 6", "k + 11"], ["k", "d + 15", "d + 26"], ["d", "a + 13", "a + 39"], ["a", "e + 12", "e + 51"], ["e", "i + 19", "i + 70"], ["i", 6, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"i": 6}, "is_reverse": true}} | 7,379 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = l + 8; l = n + 12; i = 6; f = k + 6; k = d + 15; h = f + 5; g = p + 19; n = s + 11; e = i + 19; d = a + 13; a = e + 12; p = i + 15; s = g + 14. Given that i = 6, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 6 to h, which gives h = k + 11.\n2. Substitute k = d + 15 to h, which gives h = d + 26.\n3. Substitute d = a + 13 to h, which gives h = a + 39.\n4. Substitute a = e + 12 to h, which gives h = e + 51.\n5. Substitute e = i + 19 to h, which gives h = i + 70.\n6. Substitute i = 6 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 7379,
"question": "Suppose a collection of variables is related by the following definitions: u = l + 8; l = n + 12; i = 6; f = k + 6; k = d + 15; h = f + 5; g = p + 19; n = s + 11; e = i + 19; d = a + 13; a = e + 12; p = i + 15; s = g + 14. Given that i = 6, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"c": "j + 2", "k": "c + 12", "g": "k + 15", "x": "g + 13", "m": "x + 8", "e": "m + 15", "p": "j + 20", "z": "p + 17", "f": "z + 10", "a": "f + 3", "q": "a + 6", "s": "q + 4", "j": 8}, "premises": {"j": 8}, "target": "e"}, "answer": {"steps": [["m", "x + 8", "x + 23"], ["x", "g + 13", "g + 36"], ["g", "k + 15", "k + 51"], ["k", "c + 12", "c + 63"], ["c", "j + 2", "j + 65"], ["j", 8, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"j": 8}, "is_reverse": true}} | 7,380 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 3; z = p + 17; s = q + 4; q = a + 6; g = k + 15; c = j + 2; x = g + 13; e = m + 15; m = x + 8; k = c + 12; f = z + 10; p = j + 20; j = 8. If j = 8, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 8 to e, which gives e = x + 23.\n2. Substitute x = g + 13 to e, which gives e = g + 36.\n3. Substitute g = k + 15 to e, which gives e = k + 51.\n4. Substitute k = c + 12 to e, which gives e = c + 63.\n5. Substitute c = j + 2 to e, which gives e = j + 65.\n6. Substitute j = 8 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 7380,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 3; z = p + 17; s = q + 4; q = a + 6; g = k + 15; c = j + 2; x = g + 13; e = m + 15; m = x + 8; k = c + 12; f = z + 10; p = j + 20; j = 8. If j = 8, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 13", "e": "p + 18", "c": "e + 10", "z": "c + 11", "w": "z + 7", "l": "w + 8", "h": "s + 20", "d": "h + 6", "r": "d + 3", "u": "r + 9", "a": "u + 6", "j": "a + 12", "s": 3}, "premises": {"s": 3}, "target": "l"}, "answer": {"steps": [["w", "z + 7", "z + 15"], ["z", "c + 11", "c + 26"], ["c", "e + 10", "e + 36"], ["e", "p + 18", "p + 54"], ["p", "s + 13", "s + 67"], ["s", 3, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"s": 3}, "is_reverse": true}} | 7,381 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = z + 7; p = s + 13; u = r + 9; d = h + 6; s = 3; e = p + 18; a = u + 6; l = w + 8; h = s + 20; j = a + 12; z = c + 11; r = d + 3; c = e + 10. If s = 3, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 7 to l, which gives l = z + 15.\n2. Substitute z = c + 11 to l, which gives l = c + 26.\n3. Substitute c = e + 10 to l, which gives l = e + 36.\n4. Substitute e = p + 18 to l, which gives l = p + 54.\n5. Substitute p = s + 13 to l, which gives l = s + 67.\n6. Substitute s = 3 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 7381,
"question": "Consider a system of variables where each variable is defined as follows: w = z + 7; p = s + 13; u = r + 9; d = h + 6; s = 3; e = p + 18; a = u + 6; l = w + 8; h = s + 20; j = a + 12; z = c + 11; r = d + 3; c = e + 10. If s = 3, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 3", "d": "r + 19", "e": "d + 2", "h": "e + 15", "b": "h + 20", "z": "b + 16", "i": "m + 14", "s": "i + 16", "n": "s + 16", "v": "n + 6", "y": "v + 15", "g": "y + 15", "m": 3}, "premises": {"m": 3}, "target": "z"}, "answer": {"steps": [["b", "h + 20", "h + 36"], ["h", "e + 15", "e + 51"], ["e", "d + 2", "d + 53"], ["d", "r + 19", "r + 72"], ["r", "m + 3", "m + 75"], ["m", 3, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"m": 3}, "is_reverse": true}} | 7,382 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = v + 15; g = y + 15; e = d + 2; i = m + 14; h = e + 15; m = 3; n = s + 16; b = h + 20; r = m + 3; v = n + 6; d = r + 19; z = b + 16; s = i + 16. If m = 3, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 20 to z, which gives z = h + 36.\n2. Substitute h = e + 15 to z, which gives z = e + 51.\n3. Substitute e = d + 2 to z, which gives z = d + 53.\n4. Substitute d = r + 19 to z, which gives z = r + 72.\n5. Substitute r = m + 3 to z, which gives z = m + 75.\n6. Substitute m = 3 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 7382,
"question": "Consider a system of variables where each variable is defined as follows: y = v + 15; g = y + 15; e = d + 2; i = m + 14; h = e + 15; m = 3; n = s + 16; b = h + 20; r = m + 3; v = n + 6; d = r + 19; z = b + 16; s = i + 16. If m = 3, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 2", "n": "q + 12", "z": "n + 18", "x": "z + 11", "m": "x + 10", "f": "m + 12", "t": "r + 14", "o": "t + 4", "c": "o + 13", "d": "c + 20", "j": "d + 16", "k": "j + 16", "r": 13}, "premises": {"r": 13}, "target": "f"}, "answer": {"steps": [["m", "x + 10", "x + 22"], ["x", "z + 11", "z + 33"], ["z", "n + 18", "n + 51"], ["n", "q + 12", "q + 63"], ["q", "r + 2", "r + 65"], ["r", 13, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"r": 13}, "is_reverse": true}} | 7,383 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = z + 11; z = n + 18; d = c + 20; c = o + 13; o = t + 4; m = x + 10; j = d + 16; t = r + 14; q = r + 2; r = 13; k = j + 16; f = m + 12; n = q + 12. Given that r = 13, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 10 to f, which gives f = x + 22.\n2. Substitute x = z + 11 to f, which gives f = z + 33.\n3. Substitute z = n + 18 to f, which gives f = n + 51.\n4. Substitute n = q + 12 to f, which gives f = q + 63.\n5. Substitute q = r + 2 to f, which gives f = r + 65.\n6. Substitute r = 13 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 7383,
"question": "Suppose a collection of variables is related by the following definitions: x = z + 11; z = n + 18; d = c + 20; c = o + 13; o = t + 4; m = x + 10; j = d + 16; t = r + 14; q = r + 2; r = 13; k = j + 16; f = m + 12; n = q + 12. Given that r = 13, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 3", "m": "h + 10", "y": "m + 14", "i": "y + 13", "v": "i + 10", "a": "v + 9", "w": "q + 5", "b": "w + 9", "s": "b + 16", "d": "s + 17", "f": "d + 1", "l": "f + 2", "q": 8}, "premises": {"q": 8}, "target": "a"}, "answer": {"steps": [["v", "i + 10", "i + 19"], ["i", "y + 13", "y + 32"], ["y", "m + 14", "m + 46"], ["m", "h + 10", "h + 56"], ["h", "q + 3", "q + 59"], ["q", 8, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"q": 8}, "is_reverse": true}} | 7,384 | 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 + 1; a = v + 9; s = b + 16; i = y + 13; l = f + 2; h = q + 3; w = q + 5; y = m + 14; d = s + 17; v = i + 10; m = h + 10; b = w + 9; q = 8. If q = 8, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 10 to a, which gives a = i + 19.\n2. Substitute i = y + 13 to a, which gives a = y + 32.\n3. Substitute y = m + 14 to a, which gives a = m + 46.\n4. Substitute m = h + 10 to a, which gives a = h + 56.\n5. Substitute h = q + 3 to a, which gives a = q + 59.\n6. Substitute q = 8 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 7384,
"question": "Consider a system of variables where each variable is defined as follows: f = d + 1; a = v + 9; s = b + 16; i = y + 13; l = f + 2; h = q + 3; w = q + 5; y = m + 14; d = s + 17; v = i + 10; m = h + 10; b = w + 9; q = 8. If q = 8, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 6", "v": "j + 15", "t": "v + 20", "c": "t + 18", "i": "c + 8", "s": "i + 12", "n": "y + 20", "d": "n + 6", "p": "d + 4", "w": "p + 8", "b": "w + 15", "u": "b + 1", "y": 7}, "premises": {"y": 7}, "target": "s"}, "answer": {"steps": [["i", "c + 8", "c + 20"], ["c", "t + 18", "t + 38"], ["t", "v + 20", "v + 58"], ["v", "j + 15", "j + 73"], ["j", "y + 6", "y + 79"], ["y", 7, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"y": 7}, "is_reverse": true}} | 7,385 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = c + 8; d = n + 6; n = y + 20; s = i + 12; u = b + 1; j = y + 6; b = w + 15; t = v + 20; p = d + 4; v = j + 15; y = 7; c = t + 18; w = p + 8. If y = 7, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 8 to s, which gives s = c + 20.\n2. Substitute c = t + 18 to s, which gives s = t + 38.\n3. Substitute t = v + 20 to s, which gives s = v + 58.\n4. Substitute v = j + 15 to s, which gives s = j + 73.\n5. Substitute j = y + 6 to s, which gives s = y + 79.\n6. Substitute y = 7 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 7385,
"question": "Consider a system of variables where each variable is defined as follows: i = c + 8; d = n + 6; n = y + 20; s = i + 12; u = b + 1; j = y + 6; b = w + 15; t = v + 20; p = d + 4; v = j + 15; y = 7; c = t + 18; w = p + 8. If y = 7, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 4", "e": "z + 17", "j": "e + 13", "g": "j + 17", "y": "g + 16", "o": "y + 14", "k": "c + 17", "f": "k + 14", "w": "f + 20", "a": "w + 19", "u": "a + 8", "l": "u + 19", "c": 17}, "premises": {"c": 17}, "target": "o"}, "answer": {"steps": [["y", "g + 16", "g + 30"], ["g", "j + 17", "j + 47"], ["j", "e + 13", "e + 60"], ["e", "z + 17", "z + 77"], ["z", "c + 4", "c + 81"], ["c", 17, "98"]], "target_var_name": "o", "target_value": 98, "value_dict": {"c": 17}, "is_reverse": true}} | 7,386 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 17; j = e + 13; y = g + 16; z = c + 4; l = u + 19; f = k + 14; g = j + 17; u = a + 8; w = f + 20; a = w + 19; o = y + 14; c = 17; k = c + 17. If c = 17, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 16 to o, which gives o = g + 30.\n2. Substitute g = j + 17 to o, which gives o = j + 47.\n3. Substitute j = e + 13 to o, which gives o = e + 60.\n4. Substitute e = z + 17 to o, which gives o = z + 77.\n5. Substitute z = c + 4 to o, which gives o = c + 81.\n6. Substitute c = 17 to o, which gives o = 98.\n\nThus, the final answer is o = \\boxed{98}.",
"index": 7386,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 17; j = e + 13; y = g + 16; z = c + 4; l = u + 19; f = k + 14; g = j + 17; u = a + 8; w = f + 20; a = w + 19; o = y + 14; c = 17; k = c + 17. If c = 17, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 9", "t": "p + 5", "m": "t + 20", "e": "m + 3", "a": "e + 12", "z": "a + 11", "r": "h + 18", "w": "r + 3", "f": "w + 20", "y": "f + 12", "s": "y + 15", "u": "s + 6", "h": 3}, "premises": {"h": 3}, "target": "z"}, "answer": {"steps": [["a", "e + 12", "e + 23"], ["e", "m + 3", "m + 26"], ["m", "t + 20", "t + 46"], ["t", "p + 5", "p + 51"], ["p", "h + 9", "h + 60"], ["h", 3, "63"]], "target_var_name": "z", "target_value": 63, "value_dict": {"h": 3}, "is_reverse": true}} | 7,387 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = 3; u = s + 6; p = h + 9; t = p + 5; a = e + 12; f = w + 20; w = r + 3; y = f + 12; m = t + 20; s = y + 15; z = a + 11; r = h + 18; e = m + 3. Given that h = 3, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 12 to z, which gives z = e + 23.\n2. Substitute e = m + 3 to z, which gives z = m + 26.\n3. Substitute m = t + 20 to z, which gives z = t + 46.\n4. Substitute t = p + 5 to z, which gives z = p + 51.\n5. Substitute p = h + 9 to z, which gives z = h + 60.\n6. Substitute h = 3 to z, which gives z = 63.\n\nThus, the final answer is z = \\boxed{63}.",
"index": 7387,
"question": "Suppose a collection of variables is related by the following definitions: h = 3; u = s + 6; p = h + 9; t = p + 5; a = e + 12; f = w + 20; w = r + 3; y = f + 12; m = t + 20; s = y + 15; z = a + 11; r = h + 18; e = m + 3. Given that h = 3, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 7", "c": "h + 18", "l": "c + 14", "e": "l + 19", "o": "e + 15", "v": "o + 18", "a": "m + 14", "d": "a + 8", "z": "d + 4", "t": "z + 5", "j": "t + 15", "q": "j + 11", "m": 16}, "premises": {"m": 16}, "target": "v"}, "answer": {"steps": [["o", "e + 15", "e + 33"], ["e", "l + 19", "l + 52"], ["l", "c + 14", "c + 66"], ["c", "h + 18", "h + 84"], ["h", "m + 7", "m + 91"], ["m", 16, "107"]], "target_var_name": "v", "target_value": 107, "value_dict": {"m": 16}, "is_reverse": true}} | 7,388 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = t + 15; c = h + 18; e = l + 19; t = z + 5; h = m + 7; o = e + 15; m = 16; a = m + 14; l = c + 14; d = a + 8; z = d + 4; q = j + 11; v = o + 18. Given that m = 16, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 15 to v, which gives v = e + 33.\n2. Substitute e = l + 19 to v, which gives v = l + 52.\n3. Substitute l = c + 14 to v, which gives v = c + 66.\n4. Substitute c = h + 18 to v, which gives v = h + 84.\n5. Substitute h = m + 7 to v, which gives v = m + 91.\n6. Substitute m = 16 to v, which gives v = 107.\n\nThus, the final answer is v = \\boxed{107}.",
"index": 7388,
"question": "Suppose a collection of variables is related by the following definitions: j = t + 15; c = h + 18; e = l + 19; t = z + 5; h = m + 7; o = e + 15; m = 16; a = m + 14; l = c + 14; d = a + 8; z = d + 4; q = j + 11; v = o + 18. Given that m = 16, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 3", "u": "s + 5", "j": "u + 3", "f": "j + 5", "d": "f + 13", "x": "d + 15", "h": "w + 10", "v": "h + 5", "z": "v + 8", "l": "z + 6", "n": "l + 9", "q": "n + 7", "w": 6}, "premises": {"w": 6}, "target": "x"}, "answer": {"steps": [["d", "f + 13", "f + 28"], ["f", "j + 5", "j + 33"], ["j", "u + 3", "u + 36"], ["u", "s + 5", "s + 41"], ["s", "w + 3", "w + 44"], ["w", 6, "50"]], "target_var_name": "x", "target_value": 50, "value_dict": {"w": 6}, "is_reverse": true}} | 7,389 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = v + 8; h = w + 10; x = d + 15; l = z + 6; w = 6; q = n + 7; n = l + 9; u = s + 5; f = j + 5; v = h + 5; s = w + 3; d = f + 13; j = u + 3. Given that w = 6, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 13 to x, which gives x = f + 28.\n2. Substitute f = j + 5 to x, which gives x = j + 33.\n3. Substitute j = u + 3 to x, which gives x = u + 36.\n4. Substitute u = s + 5 to x, which gives x = s + 41.\n5. Substitute s = w + 3 to x, which gives x = w + 44.\n6. Substitute w = 6 to x, which gives x = 50.\n\nThus, the final answer is x = \\boxed{50}.",
"index": 7389,
"question": "Suppose a collection of variables is related by the following definitions: z = v + 8; h = w + 10; x = d + 15; l = z + 6; w = 6; q = n + 7; n = l + 9; u = s + 5; f = j + 5; v = h + 5; s = w + 3; d = f + 13; j = u + 3. Given that w = 6, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 6", "k": "o + 17", "p": "k + 20", "r": "p + 8", "b": "r + 20", "q": "b + 14", "n": "v + 1", "i": "n + 19", "t": "i + 2", "z": "t + 3", "e": "z + 12", "d": "e + 9", "v": 6}, "premises": {"v": 6}, "target": "q"}, "answer": {"steps": [["b", "r + 20", "r + 34"], ["r", "p + 8", "p + 42"], ["p", "k + 20", "k + 62"], ["k", "o + 17", "o + 79"], ["o", "v + 6", "v + 85"], ["v", 6, "91"]], "target_var_name": "q", "target_value": 91, "value_dict": {"v": 6}, "is_reverse": true}} | 7,390 | 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 = k + 20; d = e + 9; i = n + 19; b = r + 20; v = 6; e = z + 12; r = p + 8; t = i + 2; z = t + 3; k = o + 17; o = v + 6; n = v + 1; q = b + 14. If v = 6, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 20 to q, which gives q = r + 34.\n2. Substitute r = p + 8 to q, which gives q = p + 42.\n3. Substitute p = k + 20 to q, which gives q = k + 62.\n4. Substitute k = o + 17 to q, which gives q = o + 79.\n5. Substitute o = v + 6 to q, which gives q = v + 85.\n6. Substitute v = 6 to q, which gives q = 91.\n\nThus, the final answer is q = \\boxed{91}.",
"index": 7390,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = k + 20; d = e + 9; i = n + 19; b = r + 20; v = 6; e = z + 12; r = p + 8; t = i + 2; z = t + 3; k = o + 17; o = v + 6; n = v + 1; q = b + 14. If v = 6, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 1", "j": "z + 8", "u": "j + 16", "x": "u + 5", "b": "x + 6", "f": "b + 10", "r": "v + 5", "a": "r + 15", "h": "a + 9", "w": "h + 2", "y": "w + 17", "m": "y + 15", "v": 6}, "premises": {"v": 6}, "target": "f"}, "answer": {"steps": [["b", "x + 6", "x + 16"], ["x", "u + 5", "u + 21"], ["u", "j + 16", "j + 37"], ["j", "z + 8", "z + 45"], ["z", "v + 1", "v + 46"], ["v", 6, "52"]], "target_var_name": "f", "target_value": 52, "value_dict": {"v": 6}, "is_reverse": true}} | 7,391 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = y + 15; r = v + 5; y = w + 17; x = u + 5; u = j + 16; v = 6; b = x + 6; h = a + 9; f = b + 10; a = r + 15; j = z + 8; z = v + 1; w = h + 2. If v = 6, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 6 to f, which gives f = x + 16.\n2. Substitute x = u + 5 to f, which gives f = u + 21.\n3. Substitute u = j + 16 to f, which gives f = j + 37.\n4. Substitute j = z + 8 to f, which gives f = z + 45.\n5. Substitute z = v + 1 to f, which gives f = v + 46.\n6. Substitute v = 6 to f, which gives f = 52.\n\nThus, the final answer is f = \\boxed{52}.",
"index": 7391,
"question": "Consider a system of variables where each variable is defined as follows: m = y + 15; r = v + 5; y = w + 17; x = u + 5; u = j + 16; v = 6; b = x + 6; h = a + 9; f = b + 10; a = r + 15; j = z + 8; z = v + 1; w = h + 2. If v = 6, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 4", "m": "r + 7", "i": "m + 8", "p": "i + 8", "z": "p + 6", "n": "z + 1", "l": "o + 4", "u": "l + 11", "s": "u + 5", "g": "s + 5", "c": "g + 8", "d": "c + 1", "o": 12}, "premises": {"o": 12}, "target": "n"}, "answer": {"steps": [["z", "p + 6", "p + 7"], ["p", "i + 8", "i + 15"], ["i", "m + 8", "m + 23"], ["m", "r + 7", "r + 30"], ["r", "o + 4", "o + 34"], ["o", 12, "46"]], "target_var_name": "n", "target_value": 46, "value_dict": {"o": 12}, "is_reverse": true}} | 7,392 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = z + 1; p = i + 8; d = c + 1; z = p + 6; u = l + 11; r = o + 4; m = r + 7; i = m + 8; c = g + 8; s = u + 5; l = o + 4; g = s + 5; o = 12. If o = 12, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 6 to n, which gives n = p + 7.\n2. Substitute p = i + 8 to n, which gives n = i + 15.\n3. Substitute i = m + 8 to n, which gives n = m + 23.\n4. Substitute m = r + 7 to n, which gives n = r + 30.\n5. Substitute r = o + 4 to n, which gives n = o + 34.\n6. Substitute o = 12 to n, which gives n = 46.\n\nThus, the final answer is n = \\boxed{46}.",
"index": 7392,
"question": "Consider a system of variables where each variable is defined as follows: n = z + 1; p = i + 8; d = c + 1; z = p + 6; u = l + 11; r = o + 4; m = r + 7; i = m + 8; c = g + 8; s = u + 5; l = o + 4; g = s + 5; o = 12. If o = 12, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"z": "o + 3", "t": "z + 15", "f": "t + 20", "i": "f + 13", "n": "i + 7", "q": "n + 11", "g": "o + 19", "h": "g + 15", "j": "h + 11", "s": "j + 15", "m": "s + 20", "w": "m + 8", "o": 9}, "premises": {"o": 9}, "target": "q"}, "answer": {"steps": [["n", "i + 7", "i + 18"], ["i", "f + 13", "f + 31"], ["f", "t + 20", "t + 51"], ["t", "z + 15", "z + 66"], ["z", "o + 3", "o + 69"], ["o", 9, "78"]], "target_var_name": "q", "target_value": 78, "value_dict": {"o": 9}, "is_reverse": true}} | 7,393 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = g + 15; q = n + 11; o = 9; t = z + 15; i = f + 13; m = s + 20; g = o + 19; j = h + 11; n = i + 7; f = t + 20; s = j + 15; z = o + 3; w = m + 8. If o = 9, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 7 to q, which gives q = i + 18.\n2. Substitute i = f + 13 to q, which gives q = f + 31.\n3. Substitute f = t + 20 to q, which gives q = t + 51.\n4. Substitute t = z + 15 to q, which gives q = z + 66.\n5. Substitute z = o + 3 to q, which gives q = o + 69.\n6. Substitute o = 9 to q, which gives q = 78.\n\nThus, the final answer is q = \\boxed{78}.",
"index": 7393,
"question": "Consider a system of variables where each variable is defined as follows: h = g + 15; q = n + 11; o = 9; t = z + 15; i = f + 13; m = s + 20; g = o + 19; j = h + 11; n = i + 7; f = t + 20; s = j + 15; z = o + 3; w = m + 8. If o = 9, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 6", "m": "e + 16", "r": "m + 17", "t": "r + 11", "b": "t + 7", "f": "b + 9", "j": "s + 11", "k": "j + 4", "z": "k + 11", "u": "z + 12", "i": "u + 5", "a": "i + 5", "s": 17}, "premises": {"s": 17}, "target": "f"}, "answer": {"steps": [["b", "t + 7", "t + 16"], ["t", "r + 11", "r + 27"], ["r", "m + 17", "m + 44"], ["m", "e + 16", "e + 60"], ["e", "s + 6", "s + 66"], ["s", 17, "83"]], "target_var_name": "f", "target_value": 83, "value_dict": {"s": 17}, "is_reverse": true}} | 7,394 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = k + 11; j = s + 11; k = j + 4; f = b + 9; i = u + 5; m = e + 16; r = m + 17; s = 17; u = z + 12; e = s + 6; a = i + 5; t = r + 11; b = t + 7. If s = 17, determine the 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 b = t + 7 to f, which gives f = t + 16.\n2. Substitute t = r + 11 to f, which gives f = r + 27.\n3. Substitute r = m + 17 to f, which gives f = m + 44.\n4. Substitute m = e + 16 to f, which gives f = e + 60.\n5. Substitute e = s + 6 to f, which gives f = s + 66.\n6. Substitute s = 17 to f, which gives f = 83.\n\nThus, the final answer is f = \\boxed{83}.",
"index": 7394,
"question": "Consider a system of variables where each variable is defined as follows: z = k + 11; j = s + 11; k = j + 4; f = b + 9; i = u + 5; m = e + 16; r = m + 17; s = 17; u = z + 12; e = s + 6; a = i + 5; t = r + 11; b = t + 7. If s = 17, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"u": "o + 7", "b": "u + 7", "s": "b + 5", "a": "s + 17", "q": "a + 4", "h": "q + 9", "k": "o + 7", "p": "k + 19", "d": "p + 11", "t": "d + 14", "g": "t + 13", "i": "g + 16", "o": 20}, "premises": {"o": 20}, "target": "h"}, "answer": {"steps": [["q", "a + 4", "a + 13"], ["a", "s + 17", "s + 30"], ["s", "b + 5", "b + 35"], ["b", "u + 7", "u + 42"], ["u", "o + 7", "o + 49"], ["o", 20, "69"]], "target_var_name": "h", "target_value": 69, "value_dict": {"o": 20}, "is_reverse": true}} | 7,395 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = 20; h = q + 9; g = t + 13; s = b + 5; p = k + 19; i = g + 16; t = d + 14; q = a + 4; d = p + 11; u = o + 7; a = s + 17; k = o + 7; b = u + 7. Given that o = 20, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 4 to h, which gives h = a + 13.\n2. Substitute a = s + 17 to h, which gives h = s + 30.\n3. Substitute s = b + 5 to h, which gives h = b + 35.\n4. Substitute b = u + 7 to h, which gives h = u + 42.\n5. Substitute u = o + 7 to h, which gives h = o + 49.\n6. Substitute o = 20 to h, which gives h = 69.\n\nThus, the final answer is h = \\boxed{69}.",
"index": 7395,
"question": "Suppose a collection of variables is related by the following definitions: o = 20; h = q + 9; g = t + 13; s = b + 5; p = k + 19; i = g + 16; t = d + 14; q = a + 4; d = p + 11; u = o + 7; a = s + 17; k = o + 7; b = u + 7. Given that o = 20, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"v": "z + 19", "k": "v + 9", "j": "k + 14", "p": "j + 19", "o": "p + 7", "i": "o + 13", "t": "z + 7", "c": "t + 1", "m": "c + 16", "e": "m + 6", "y": "e + 5", "d": "y + 14", "z": 2}, "premises": {"z": 2}, "target": "i"}, "answer": {"steps": [["o", "p + 7", "p + 20"], ["p", "j + 19", "j + 39"], ["j", "k + 14", "k + 53"], ["k", "v + 9", "v + 62"], ["v", "z + 19", "z + 81"], ["z", 2, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"z": 2}, "is_reverse": true}} | 7,396 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 14; m = c + 16; z = 2; c = t + 1; e = m + 6; y = e + 5; i = o + 13; v = z + 19; o = p + 7; p = j + 19; k = v + 9; d = y + 14; t = z + 7. If z = 2, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 7 to i, which gives i = p + 20.\n2. Substitute p = j + 19 to i, which gives i = j + 39.\n3. Substitute j = k + 14 to i, which gives i = k + 53.\n4. Substitute k = v + 9 to i, which gives i = v + 62.\n5. Substitute v = z + 19 to i, which gives i = z + 81.\n6. Substitute z = 2 to i, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 7396,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 14; m = c + 16; z = 2; c = t + 1; e = m + 6; y = e + 5; i = o + 13; v = z + 19; o = p + 7; p = j + 19; k = v + 9; d = y + 14; t = z + 7. If z = 2, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"y": "x + 17", "c": "y + 3", "z": "c + 7", "l": "z + 19", "j": "l + 2", "r": "j + 8", "i": "x + 14", "e": "i + 13", "v": "e + 14", "p": "v + 10", "s": "p + 6", "h": "s + 10", "x": 15}, "premises": {"x": 15}, "target": "r"}, "answer": {"steps": [["j", "l + 2", "l + 10"], ["l", "z + 19", "z + 29"], ["z", "c + 7", "c + 36"], ["c", "y + 3", "y + 39"], ["y", "x + 17", "x + 56"], ["x", 15, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"x": 15}, "is_reverse": true}} | 7,397 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = v + 10; v = e + 14; l = z + 19; e = i + 13; y = x + 17; h = s + 10; r = j + 8; i = x + 14; x = 15; j = l + 2; s = p + 6; z = c + 7; c = y + 3. Given that x = 15, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 2 to r, which gives r = l + 10.\n2. Substitute l = z + 19 to r, which gives r = z + 29.\n3. Substitute z = c + 7 to r, which gives r = c + 36.\n4. Substitute c = y + 3 to r, which gives r = y + 39.\n5. Substitute y = x + 17 to r, which gives r = x + 56.\n6. Substitute x = 15 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 7397,
"question": "Suppose a collection of variables is related by the following definitions: p = v + 10; v = e + 14; l = z + 19; e = i + 13; y = x + 17; h = s + 10; r = j + 8; i = x + 14; x = 15; j = l + 2; s = p + 6; z = c + 7; c = y + 3. Given that x = 15, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 7", "x": "z + 3", "k": "x + 16", "o": "k + 6", "l": "o + 6", "n": "l + 9", "u": "w + 4", "m": "u + 13", "c": "m + 11", "b": "c + 18", "y": "b + 19", "g": "y + 7", "w": 2}, "premises": {"w": 2}, "target": "n"}, "answer": {"steps": [["l", "o + 6", "o + 15"], ["o", "k + 6", "k + 21"], ["k", "x + 16", "x + 37"], ["x", "z + 3", "z + 40"], ["z", "w + 7", "w + 47"], ["w", 2, "49"]], "target_var_name": "n", "target_value": 49, "value_dict": {"w": 2}, "is_reverse": true}} | 7,398 | 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 = x + 16; w = 2; u = w + 4; g = y + 7; z = w + 7; m = u + 13; b = c + 18; o = k + 6; y = b + 19; l = o + 6; x = z + 3; c = m + 11; n = l + 9. If w = 2, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 6 to n, which gives n = o + 15.\n2. Substitute o = k + 6 to n, which gives n = k + 21.\n3. Substitute k = x + 16 to n, which gives n = x + 37.\n4. Substitute x = z + 3 to n, which gives n = z + 40.\n5. Substitute z = w + 7 to n, which gives n = w + 47.\n6. Substitute w = 2 to n, which gives n = 49.\n\nThus, the final answer is n = \\boxed{49}.",
"index": 7398,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = x + 16; w = 2; u = w + 4; g = y + 7; z = w + 7; m = u + 13; b = c + 18; o = k + 6; y = b + 19; l = o + 6; x = z + 3; c = m + 11; n = l + 9. If w = 2, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 4", "j": "u + 11", "n": "j + 3", "w": "n + 15", "l": "w + 4", "y": "l + 12", "o": "k + 11", "c": "o + 3", "p": "c + 20", "m": "p + 1", "e": "m + 20", "t": "e + 20", "k": 9}, "premises": {"k": 9}, "target": "y"}, "answer": {"steps": [["l", "w + 4", "w + 16"], ["w", "n + 15", "n + 31"], ["n", "j + 3", "j + 34"], ["j", "u + 11", "u + 45"], ["u", "k + 4", "k + 49"], ["k", 9, "58"]], "target_var_name": "y", "target_value": 58, "value_dict": {"k": 9}, "is_reverse": true}} | 7,399 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = k + 11; t = e + 20; y = l + 12; m = p + 1; l = w + 4; k = 9; u = k + 4; n = j + 3; j = u + 11; p = c + 20; w = n + 15; e = m + 20; c = o + 3. If k = 9, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 4 to y, which gives y = w + 16.\n2. Substitute w = n + 15 to y, which gives y = n + 31.\n3. Substitute n = j + 3 to y, which gives y = j + 34.\n4. Substitute j = u + 11 to y, which gives y = u + 45.\n5. Substitute u = k + 4 to y, which gives y = k + 49.\n6. Substitute k = 9 to y, which gives y = 58.\n\nThus, the final answer is y = \\boxed{58}.",
"index": 7399,
"question": "Consider a system of variables where each variable is defined as follows: o = k + 11; t = e + 20; y = l + 12; m = p + 1; l = w + 4; k = 9; u = k + 4; n = j + 3; j = u + 11; p = c + 20; w = n + 15; e = m + 20; c = o + 3. If k = 9, determine the value of y.",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.