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": {"p": "w + 15", "m": "p + 18", "g": "m + 5", "b": "g + 13", "c": "b + 11", "r": "c + 11", "q": "w + 14", "n": "q + 8", "s": "n + 11", "i": "s + 12", "h": "i + 3", "t": "h + 5", "w": 7}, "premises": {"w": 7}, "target": "r"}, "answer": {"steps": [["c", "b + 11", "b + 22"], ["b", "g + 13", "g + 35"], ["g", "m + 5", "m + 40"], ["m", "p + 18", "p + 58"], ["p", "w + 15", "w + 73"], ["w", 7, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"w": 7}, "is_reverse": true}} | 25,000 | 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 = h + 5; p = w + 15; s = n + 11; m = p + 18; r = c + 11; h = i + 3; b = g + 13; i = s + 12; q = w + 14; c = b + 11; g = m + 5; n = q + 8; w = 7. If w = 7, what is the resulting value of r?",
"role": "user... | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 11 to r, which gives r = b + 22.\n2. Substitute b = g + 13 to r, which gives r = g + 35.\n3. Substitute g = m + 5 to r, which gives r = m + 40.\n4. Substitute m = p + 18 to r, which gives r = p + 58.\n5. Substitute p = w + 15 to r, which gives r = w + 73.\n6. Substitute w = 7 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 25000,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = h + 5; p = w + 15; s = n + 11; m = p + 18; r = c + 11; h = i + 3; b = g + 13; i = s + 12; q = w + 14; c = b + 11; g = m + 5; n = q + 8; w = 7. If w = 7, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"k": "x + 15", "p": "k + 1", "c": "p + 1", "w": "c + 14", "t": "w + 20", "o": "t + 3", "h": "x + 7", "a": "h + 17", "m": "a + 12", "g": "m + 20", "q": "g + 3", "z": "q + 16", "x": 14}, "premises": {"x": 14}, "target": "o"}, "answer": {"steps": [["t", "w + 20", "w + 23"], ["w", "c + 14", "c + 37"], ["c", "p + 1", "p + 38"], ["p", "k + 1", "k + 39"], ["k", "x + 15", "x + 54"], ["x", 14, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"x": 14}, "is_reverse": true}} | 25,001 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = g + 3; c = p + 1; g = m + 20; a = h + 17; x = 14; h = x + 7; m = a + 12; k = x + 15; w = c + 14; z = q + 16; o = t + 3; t = w + 20; p = k + 1. Given that x = 14, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 20 to o, which gives o = w + 23.\n2. Substitute w = c + 14 to o, which gives o = c + 37.\n3. Substitute c = p + 1 to o, which gives o = p + 38.\n4. Substitute p = k + 1 to o, which gives o = k + 39.\n5. Substitute k = x + 15 to o, which gives o = x + 54.\n6. Substitute x = 14 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 25001,
"question": "Suppose a collection of variables is related by the following definitions: q = g + 3; c = p + 1; g = m + 20; a = h + 17; x = 14; h = x + 7; m = a + 12; k = x + 15; w = c + 14; z = q + 16; o = t + 3; t = w + 20; p = k + 1. Given that x = 14, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"b": "x + 20", "a": "b + 1", "z": "a + 9", "y": "z + 18", "g": "y + 7", "h": "g + 6", "e": "x + 4", "t": "e + 8", "i": "t + 7", "o": "i + 14", "f": "o + 3", "l": "f + 11", "x": 15}, "premises": {"x": 15}, "target": "h"}, "answer": {"steps": [["g", "y + 7", "y + 13"], ["y", "z + 18", "z + 31"], ["z", "a + 9", "a + 40"], ["a", "b + 1", "b + 41"], ["b", "x + 20", "x + 61"], ["x", 15, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"x": 15}, "is_reverse": true}} | 25,002 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = a + 9; f = o + 3; g = y + 7; x = 15; h = g + 6; e = x + 4; a = b + 1; o = i + 14; b = x + 20; i = t + 7; l = f + 11; y = z + 18; t = e + 8. Given that x = 15, 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 g = y + 7 to h, which gives h = y + 13.\n2. Substitute y = z + 18 to h, which gives h = z + 31.\n3. Substitute z = a + 9 to h, which gives h = a + 40.\n4. Substitute a = b + 1 to h, which gives h = b + 41.\n5. Substitute b = x + 20 to h, which gives h = x + 61.\n6. Substitute x = 15 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 25002,
"question": "Suppose a collection of variables is related by the following definitions: z = a + 9; f = o + 3; g = y + 7; x = 15; h = g + 6; e = x + 4; a = b + 1; o = i + 14; b = x + 20; i = t + 7; l = f + 11; y = z + 18; t = e + 8. Given that x = 15, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"p": "f + 20", "n": "p + 1", "g": "n + 8", "h": "g + 3", "q": "h + 8", "o": "q + 7", "l": "f + 19", "k": "l + 6", "d": "k + 15", "x": "d + 18", "r": "x + 19", "t": "r + 6", "f": 17}, "premises": {"f": 17}, "target": "o"}, "answer": {"steps": [["q", "h + 8", "h + 15"], ["h", "g + 3", "g + 18"], ["g", "n + 8", "n + 26"], ["n", "p + 1", "p + 27"], ["p", "f + 20", "f + 47"], ["f", 17, "64"]], "target_var_name": "o", "target_value": 64, "value_dict": {"f": 17}, "is_reverse": true}} | 25,003 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = r + 6; o = q + 7; x = d + 18; d = k + 15; q = h + 8; n = p + 1; f = 17; r = x + 19; p = f + 20; l = f + 19; g = n + 8; k = l + 6; h = g + 3. Given that f = 17, find 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 q = h + 8 to o, which gives o = h + 15.\n2. Substitute h = g + 3 to o, which gives o = g + 18.\n3. Substitute g = n + 8 to o, which gives o = n + 26.\n4. Substitute n = p + 1 to o, which gives o = p + 27.\n5. Substitute p = f + 20 to o, which gives o = f + 47.\n6. Substitute f = 17 to o, which gives o = 64.\n\nThus, the final answer is o = \\boxed{64}.",
"index": 25003,
"question": "Suppose a collection of variables is related by the following definitions: t = r + 6; o = q + 7; x = d + 18; d = k + 15; q = h + 8; n = p + 1; f = 17; r = x + 19; p = f + 20; l = f + 19; g = n + 8; k = l + 6; h = g + 3. Given that f = 17, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 15", "h": "j + 12", "w": "h + 2", "x": "w + 9", "z": "x + 1", "a": "z + 17", "q": "b + 17", "l": "q + 8", "d": "l + 7", "v": "d + 14", "s": "v + 11", "t": "s + 12", "b": 5}, "premises": {"b": 5}, "target": "a"}, "answer": {"steps": [["z", "x + 1", "x + 18"], ["x", "w + 9", "w + 27"], ["w", "h + 2", "h + 29"], ["h", "j + 12", "j + 41"], ["j", "b + 15", "b + 56"], ["b", 5, "61"]], "target_var_name": "a", "target_value": 61, "value_dict": {"b": 5}, "is_reverse": true}} | 25,004 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = z + 17; s = v + 11; j = b + 15; t = s + 12; l = q + 8; b = 5; v = d + 14; d = l + 7; h = j + 12; z = x + 1; w = h + 2; x = w + 9; q = b + 17. If b = 5, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 1 to a, which gives a = x + 18.\n2. Substitute x = w + 9 to a, which gives a = w + 27.\n3. Substitute w = h + 2 to a, which gives a = h + 29.\n4. Substitute h = j + 12 to a, which gives a = j + 41.\n5. Substitute j = b + 15 to a, which gives a = b + 56.\n6. Substitute b = 5 to a, which gives a = 61.\n\nThus, the final answer is a = \\boxed{61}.",
"index": 25004,
"question": "Consider a system of variables where each variable is defined as follows: a = z + 17; s = v + 11; j = b + 15; t = s + 12; l = q + 8; b = 5; v = d + 14; d = l + 7; h = j + 12; z = x + 1; w = h + 2; x = w + 9; q = b + 17. If b = 5, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 3", "m": "c + 12", "g": "m + 14", "o": "g + 6", "f": "o + 19", "k": "f + 8", "z": "p + 8", "w": "z + 3", "h": "w + 20", "e": "h + 7", "n": "e + 8", "b": "n + 7", "p": 5}, "premises": {"p": 5}, "target": "k"}, "answer": {"steps": [["f", "o + 19", "o + 27"], ["o", "g + 6", "g + 33"], ["g", "m + 14", "m + 47"], ["m", "c + 12", "c + 59"], ["c", "p + 3", "p + 62"], ["p", 5, "67"]], "target_var_name": "k", "target_value": 67, "value_dict": {"p": 5}, "is_reverse": true}} | 25,005 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = o + 19; b = n + 7; z = p + 8; p = 5; o = g + 6; g = m + 14; n = e + 8; e = h + 7; k = f + 8; h = w + 20; c = p + 3; w = z + 3; m = c + 12. Given that p = 5, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 19 to k, which gives k = o + 27.\n2. Substitute o = g + 6 to k, which gives k = g + 33.\n3. Substitute g = m + 14 to k, which gives k = m + 47.\n4. Substitute m = c + 12 to k, which gives k = c + 59.\n5. Substitute c = p + 3 to k, which gives k = p + 62.\n6. Substitute p = 5 to k, which gives k = 67.\n\nThus, the final answer is k = \\boxed{67}.",
"index": 25005,
"question": "Suppose a collection of variables is related by the following definitions: f = o + 19; b = n + 7; z = p + 8; p = 5; o = g + 6; g = m + 14; n = e + 8; e = h + 7; k = f + 8; h = w + 20; c = p + 3; w = z + 3; m = c + 12. Given that p = 5, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"c": "j + 1", "y": "c + 1", "n": "y + 1", "v": "n + 7", "b": "v + 5", "z": "b + 20", "m": "j + 20", "e": "m + 16", "r": "e + 17", "k": "r + 4", "x": "k + 17", "u": "x + 20", "j": 8}, "premises": {"j": 8}, "target": "z"}, "answer": {"steps": [["b", "v + 5", "v + 25"], ["v", "n + 7", "n + 32"], ["n", "y + 1", "y + 33"], ["y", "c + 1", "c + 34"], ["c", "j + 1", "j + 35"], ["j", 8, "43"]], "target_var_name": "z", "target_value": 43, "value_dict": {"j": 8}, "is_reverse": true}} | 25,006 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 4; r = e + 17; e = m + 16; m = j + 20; c = j + 1; u = x + 20; j = 8; n = y + 1; b = v + 5; z = b + 20; y = c + 1; x = k + 17; v = n + 7. If j = 8, what is the resulting value of z?",
"role": "user"
... | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 5 to z, which gives z = v + 25.\n2. Substitute v = n + 7 to z, which gives z = n + 32.\n3. Substitute n = y + 1 to z, which gives z = y + 33.\n4. Substitute y = c + 1 to z, which gives z = c + 34.\n5. Substitute c = j + 1 to z, which gives z = j + 35.\n6. Substitute j = 8 to z, which gives z = 43.\n\nThus, the final answer is z = \\boxed{43}.",
"index": 25006,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 4; r = e + 17; e = m + 16; m = j + 20; c = j + 1; u = x + 20; j = 8; n = y + 1; b = v + 5; z = b + 20; y = c + 1; x = k + 17; v = n + 7. If j = 8, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 9", "q": "z + 16", "o": "q + 6", "m": "o + 20", "l": "m + 4", "t": "l + 11", "n": "i + 11", "k": "n + 20", "e": "k + 15", "y": "e + 10", "c": "y + 9", "g": "c + 3", "i": 2}, "premises": {"i": 2}, "target": "t"}, "answer": {"steps": [["l", "m + 4", "m + 15"], ["m", "o + 20", "o + 35"], ["o", "q + 6", "q + 41"], ["q", "z + 16", "z + 57"], ["z", "i + 9", "i + 66"], ["i", 2, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"i": 2}, "is_reverse": true}} | 25,007 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = m + 4; k = n + 20; e = k + 15; z = i + 9; c = y + 9; o = q + 6; q = z + 16; m = o + 20; t = l + 11; i = 2; y = e + 10; g = c + 3; n = i + 11. If i = 2, what is the resulting value of t?",
"role": "user"... | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 4 to t, which gives t = m + 15.\n2. Substitute m = o + 20 to t, which gives t = o + 35.\n3. Substitute o = q + 6 to t, which gives t = q + 41.\n4. Substitute q = z + 16 to t, which gives t = z + 57.\n5. Substitute z = i + 9 to t, which gives t = i + 66.\n6. Substitute i = 2 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 25007,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = m + 4; k = n + 20; e = k + 15; z = i + 9; c = y + 9; o = q + 6; q = z + 16; m = o + 20; t = l + 11; i = 2; y = e + 10; g = c + 3; n = i + 11. If i = 2, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 2", "c": "i + 6", "r": "c + 14", "u": "r + 5", "d": "u + 12", "h": "d + 7", "l": "s + 3", "x": "l + 2", "q": "x + 6", "o": "q + 14", "p": "o + 7", "n": "p + 12", "s": 7}, "premises": {"s": 7}, "target": "h"}, "answer": {"steps": [["d", "u + 12", "u + 19"], ["u", "r + 5", "r + 24"], ["r", "c + 14", "c + 38"], ["c", "i + 6", "i + 44"], ["i", "s + 2", "s + 46"], ["s", 7, "53"]], "target_var_name": "h", "target_value": 53, "value_dict": {"s": 7}, "is_reverse": true}} | 25,008 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = p + 12; h = d + 7; x = l + 2; u = r + 5; i = s + 2; p = o + 7; l = s + 3; c = i + 6; r = c + 14; o = q + 14; s = 7; q = x + 6; d = u + 12. If s = 7, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 12 to h, which gives h = u + 19.\n2. Substitute u = r + 5 to h, which gives h = r + 24.\n3. Substitute r = c + 14 to h, which gives h = c + 38.\n4. Substitute c = i + 6 to h, which gives h = i + 44.\n5. Substitute i = s + 2 to h, which gives h = s + 46.\n6. Substitute s = 7 to h, which gives h = 53.\n\nThus, the final answer is h = \\boxed{53}.",
"index": 25008,
"question": "Consider a system of variables where each variable is defined as follows: n = p + 12; h = d + 7; x = l + 2; u = r + 5; i = s + 2; p = o + 7; l = s + 3; c = i + 6; r = c + 14; o = q + 14; s = 7; q = x + 6; d = u + 12. If s = 7, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 15", "f": "x + 16", "l": "f + 20", "p": "l + 4", "s": "p + 9", "g": "s + 8", "b": "v + 2", "u": "b + 13", "y": "u + 14", "t": "y + 9", "m": "t + 8", "a": "m + 15", "v": 13}, "premises": {"v": 13}, "target": "g"}, "answer": {"steps": [["s", "p + 9", "p + 17"], ["p", "l + 4", "l + 21"], ["l", "f + 20", "f + 41"], ["f", "x + 16", "x + 57"], ["x", "v + 15", "v + 72"], ["v", 13, "85"]], "target_var_name": "g", "target_value": 85, "value_dict": {"v": 13}, "is_reverse": true}} | 25,009 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 20; t = y + 9; x = v + 15; y = u + 14; u = b + 13; b = v + 2; a = m + 15; g = s + 8; s = p + 9; p = l + 4; v = 13; m = t + 8; f = x + 16. If v = 13, what is the resulting value of g?",
"role": "user... | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 9 to g, which gives g = p + 17.\n2. Substitute p = l + 4 to g, which gives g = l + 21.\n3. Substitute l = f + 20 to g, which gives g = f + 41.\n4. Substitute f = x + 16 to g, which gives g = x + 57.\n5. Substitute x = v + 15 to g, which gives g = v + 72.\n6. Substitute v = 13 to g, which gives g = 85.\n\nThus, the final answer is g = \\boxed{85}.",
"index": 25009,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 20; t = y + 9; x = v + 15; y = u + 14; u = b + 13; b = v + 2; a = m + 15; g = s + 8; s = p + 9; p = l + 4; v = 13; m = t + 8; f = x + 16. If v = 13, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 20", "c": "t + 13", "u": "c + 7", "r": "u + 3", "v": "r + 7", "n": "v + 20", "s": "k + 3", "m": "s + 17", "f": "m + 6", "j": "f + 7", "x": "j + 14", "g": "x + 3", "k": 9}, "premises": {"k": 9}, "target": "n"}, "answer": {"steps": [["v", "r + 7", "r + 27"], ["r", "u + 3", "u + 30"], ["u", "c + 7", "c + 37"], ["c", "t + 13", "t + 50"], ["t", "k + 20", "k + 70"], ["k", 9, "79"]], "target_var_name": "n", "target_value": 79, "value_dict": {"k": 9}, "is_reverse": true}} | 25,010 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = u + 3; f = m + 6; x = j + 14; u = c + 7; v = r + 7; k = 9; s = k + 3; j = f + 7; n = v + 20; c = t + 13; g = x + 3; m = s + 17; t = k + 20. Given that k = 9, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 7 to n, which gives n = r + 27.\n2. Substitute r = u + 3 to n, which gives n = u + 30.\n3. Substitute u = c + 7 to n, which gives n = c + 37.\n4. Substitute c = t + 13 to n, which gives n = t + 50.\n5. Substitute t = k + 20 to n, which gives n = k + 70.\n6. Substitute k = 9 to n, which gives n = 79.\n\nThus, the final answer is n = \\boxed{79}.",
"index": 25010,
"question": "Suppose a collection of variables is related by the following definitions: r = u + 3; f = m + 6; x = j + 14; u = c + 7; v = r + 7; k = 9; s = k + 3; j = f + 7; n = v + 20; c = t + 13; g = x + 3; m = s + 17; t = k + 20. Given that k = 9, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"h": "i + 15", "b": "h + 16", "p": "b + 6", "j": "p + 20", "n": "j + 18", "s": "n + 8", "v": "i + 8", "r": "v + 12", "x": "r + 3", "m": "x + 5", "g": "m + 16", "o": "g + 15", "i": 6}, "premises": {"i": 6}, "target": "s"}, "answer": {"steps": [["n", "j + 18", "j + 26"], ["j", "p + 20", "p + 46"], ["p", "b + 6", "b + 52"], ["b", "h + 16", "h + 68"], ["h", "i + 15", "i + 83"], ["i", 6, "89"]], "target_var_name": "s", "target_value": 89, "value_dict": {"i": 6}, "is_reverse": true}} | 25,011 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = n + 8; o = g + 15; x = r + 3; r = v + 12; n = j + 18; b = h + 16; p = b + 6; j = p + 20; g = m + 16; h = i + 15; m = x + 5; v = i + 8; i = 6. If i = 6, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 18 to s, which gives s = j + 26.\n2. Substitute j = p + 20 to s, which gives s = p + 46.\n3. Substitute p = b + 6 to s, which gives s = b + 52.\n4. Substitute b = h + 16 to s, which gives s = h + 68.\n5. Substitute h = i + 15 to s, which gives s = i + 83.\n6. Substitute i = 6 to s, which gives s = 89.\n\nThus, the final answer is s = \\boxed{89}.",
"index": 25011,
"question": "Consider a system of variables where each variable is defined as follows: s = n + 8; o = g + 15; x = r + 3; r = v + 12; n = j + 18; b = h + 16; p = b + 6; j = p + 20; g = m + 16; h = i + 15; m = x + 5; v = i + 8; i = 6. If i = 6, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 13", "g": "y + 4", "l": "g + 4", "c": "l + 10", "u": "c + 9", "z": "u + 1", "m": "b + 2", "q": "m + 13", "r": "q + 2", "j": "r + 7", "e": "j + 4", "v": "e + 7", "b": 12}, "premises": {"b": 12}, "target": "z"}, "answer": {"steps": [["u", "c + 9", "c + 10"], ["c", "l + 10", "l + 20"], ["l", "g + 4", "g + 24"], ["g", "y + 4", "y + 28"], ["y", "b + 13", "b + 41"], ["b", 12, "53"]], "target_var_name": "z", "target_value": 53, "value_dict": {"b": 12}, "is_reverse": true}} | 25,012 | 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 = j + 4; r = q + 2; c = l + 10; l = g + 4; g = y + 4; z = u + 1; b = 12; v = e + 7; q = m + 13; m = b + 2; u = c + 9; y = b + 13; j = r + 7. If b = 12, what is the resulting value of z?",
"role": "user"
... | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 9 to z, which gives z = c + 10.\n2. Substitute c = l + 10 to z, which gives z = l + 20.\n3. Substitute l = g + 4 to z, which gives z = g + 24.\n4. Substitute g = y + 4 to z, which gives z = y + 28.\n5. Substitute y = b + 13 to z, which gives z = b + 41.\n6. Substitute b = 12 to z, which gives z = 53.\n\nThus, the final answer is z = \\boxed{53}.",
"index": 25012,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = j + 4; r = q + 2; c = l + 10; l = g + 4; g = y + 4; z = u + 1; b = 12; v = e + 7; q = m + 13; m = b + 2; u = c + 9; y = b + 13; j = r + 7. If b = 12, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 2", "y": "a + 10", "i": "y + 10", "q": "i + 13", "j": "q + 6", "l": "j + 6", "s": "z + 5", "n": "s + 2", "e": "n + 5", "p": "e + 1", "u": "p + 3", "b": "u + 2", "z": 3}, "premises": {"z": 3}, "target": "l"}, "answer": {"steps": [["j", "q + 6", "q + 12"], ["q", "i + 13", "i + 25"], ["i", "y + 10", "y + 35"], ["y", "a + 10", "a + 45"], ["a", "z + 2", "z + 47"], ["z", 3, "50"]], "target_var_name": "l", "target_value": 50, "value_dict": {"z": 3}, "is_reverse": true}} | 25,013 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = q + 6; y = a + 10; n = s + 2; u = p + 3; q = i + 13; p = e + 1; s = z + 5; z = 3; b = u + 2; l = j + 6; i = y + 10; e = n + 5; a = z + 2. Given that z = 3, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 6 to l, which gives l = q + 12.\n2. Substitute q = i + 13 to l, which gives l = i + 25.\n3. Substitute i = y + 10 to l, which gives l = y + 35.\n4. Substitute y = a + 10 to l, which gives l = a + 45.\n5. Substitute a = z + 2 to l, which gives l = z + 47.\n6. Substitute z = 3 to l, which gives l = 50.\n\nThus, the final answer is l = \\boxed{50}.",
"index": 25013,
"question": "Suppose a collection of variables is related by the following definitions: j = q + 6; y = a + 10; n = s + 2; u = p + 3; q = i + 13; p = e + 1; s = z + 5; z = 3; b = u + 2; l = j + 6; i = y + 10; e = n + 5; a = z + 2. Given that z = 3, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"c": "k + 8", "i": "c + 3", "w": "i + 14", "d": "w + 9", "j": "d + 14", "e": "j + 8", "r": "k + 20", "g": "r + 8", "p": "g + 8", "h": "p + 8", "n": "h + 5", "x": "n + 19", "k": 6}, "premises": {"k": 6}, "target": "e"}, "answer": {"steps": [["j", "d + 14", "d + 22"], ["d", "w + 9", "w + 31"], ["w", "i + 14", "i + 45"], ["i", "c + 3", "c + 48"], ["c", "k + 8", "k + 56"], ["k", 6, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"k": 6}, "is_reverse": true}} | 25,014 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = g + 8; r = k + 20; g = r + 8; j = d + 14; h = p + 8; n = h + 5; d = w + 9; c = k + 8; i = c + 3; k = 6; w = i + 14; e = j + 8; x = n + 19. Given that k = 6, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 14 to e, which gives e = d + 22.\n2. Substitute d = w + 9 to e, which gives e = w + 31.\n3. Substitute w = i + 14 to e, which gives e = i + 45.\n4. Substitute i = c + 3 to e, which gives e = c + 48.\n5. Substitute c = k + 8 to e, which gives e = k + 56.\n6. Substitute k = 6 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 25014,
"question": "Suppose a collection of variables is related by the following definitions: p = g + 8; r = k + 20; g = r + 8; j = d + 14; h = p + 8; n = h + 5; d = w + 9; c = k + 8; i = c + 3; k = 6; w = i + 14; e = j + 8; x = n + 19. Given that k = 6, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 8", "b": "q + 7", "z": "b + 7", "o": "z + 7", "j": "o + 10", "h": "j + 20", "i": "g + 5", "m": "i + 12", "w": "m + 19", "x": "w + 9", "l": "x + 17", "p": "l + 9", "g": 18}, "premises": {"g": 18}, "target": "h"}, "answer": {"steps": [["j", "o + 10", "o + 30"], ["o", "z + 7", "z + 37"], ["z", "b + 7", "b + 44"], ["b", "q + 7", "q + 51"], ["q", "g + 8", "g + 59"], ["g", 18, "77"]], "target_var_name": "h", "target_value": 77, "value_dict": {"g": 18}, "is_reverse": true}} | 25,015 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = x + 17; h = j + 20; j = o + 10; q = g + 8; m = i + 12; p = l + 9; i = g + 5; z = b + 7; b = q + 7; w = m + 19; x = w + 9; g = 18; o = z + 7. If g = 18, 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 j = o + 10 to h, which gives h = o + 30.\n2. Substitute o = z + 7 to h, which gives h = z + 37.\n3. Substitute z = b + 7 to h, which gives h = b + 44.\n4. Substitute b = q + 7 to h, which gives h = q + 51.\n5. Substitute q = g + 8 to h, which gives h = g + 59.\n6. Substitute g = 18 to h, which gives h = 77.\n\nThus, the final answer is h = \\boxed{77}.",
"index": 25015,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = x + 17; h = j + 20; j = o + 10; q = g + 8; m = i + 12; p = l + 9; i = g + 5; z = b + 7; b = q + 7; w = m + 19; x = w + 9; g = 18; o = z + 7. If g = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 18", "c": "e + 9", "w": "c + 20", "m": "w + 11", "f": "m + 8", "j": "f + 5", "d": "r + 14", "p": "d + 12", "o": "p + 9", "g": "o + 8", "v": "g + 12", "z": "v + 2", "r": 3}, "premises": {"r": 3}, "target": "j"}, "answer": {"steps": [["f", "m + 8", "m + 13"], ["m", "w + 11", "w + 24"], ["w", "c + 20", "c + 44"], ["c", "e + 9", "e + 53"], ["e", "r + 18", "r + 71"], ["r", 3, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"r": 3}, "is_reverse": true}} | 25,016 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = o + 8; m = w + 11; f = m + 8; w = c + 20; c = e + 9; z = v + 2; j = f + 5; o = p + 9; r = 3; e = r + 18; v = g + 12; d = r + 14; p = d + 12. Given that r = 3, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 8 to j, which gives j = m + 13.\n2. Substitute m = w + 11 to j, which gives j = w + 24.\n3. Substitute w = c + 20 to j, which gives j = c + 44.\n4. Substitute c = e + 9 to j, which gives j = e + 53.\n5. Substitute e = r + 18 to j, which gives j = r + 71.\n6. Substitute r = 3 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 25016,
"question": "Suppose a collection of variables is related by the following definitions: g = o + 8; m = w + 11; f = m + 8; w = c + 20; c = e + 9; z = v + 2; j = f + 5; o = p + 9; r = 3; e = r + 18; v = g + 12; d = r + 14; p = d + 12. Given that r = 3, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 1", "j": "w + 9", "b": "j + 1", "r": "b + 9", "l": "r + 5", "o": "l + 9", "t": "a + 1", "c": "t + 18", "u": "c + 15", "f": "u + 7", "q": "f + 14", "i": "q + 15", "a": 3}, "premises": {"a": 3}, "target": "o"}, "answer": {"steps": [["l", "r + 5", "r + 14"], ["r", "b + 9", "b + 23"], ["b", "j + 1", "j + 24"], ["j", "w + 9", "w + 33"], ["w", "a + 1", "a + 34"], ["a", 3, "37"]], "target_var_name": "o", "target_value": 37, "value_dict": {"a": 3}, "is_reverse": true}} | 25,017 | 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 = t + 18; q = f + 14; a = 3; i = q + 15; r = b + 9; o = l + 9; b = j + 1; j = w + 9; t = a + 1; f = u + 7; w = a + 1; l = r + 5; u = c + 15. If a = 3, what is the resulting value of o?",
"role": "user"
... | math | {
"ground_truth": 37,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 5 to o, which gives o = r + 14.\n2. Substitute r = b + 9 to o, which gives o = b + 23.\n3. Substitute b = j + 1 to o, which gives o = j + 24.\n4. Substitute j = w + 9 to o, which gives o = w + 33.\n5. Substitute w = a + 1 to o, which gives o = a + 34.\n6. Substitute a = 3 to o, which gives o = 37.\n\nThus, the final answer is o = \\boxed{37}.",
"index": 25017,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 18; q = f + 14; a = 3; i = q + 15; r = b + 9; o = l + 9; b = j + 1; j = w + 9; t = a + 1; f = u + 7; w = a + 1; l = r + 5; u = c + 15. If a = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 11", "s": "q + 4", "v": "s + 1", "a": "v + 1", "h": "a + 7", "d": "h + 7", "e": "u + 15", "g": "e + 19", "c": "g + 6", "n": "c + 15", "l": "n + 18", "b": "l + 14", "u": 17}, "premises": {"u": 17}, "target": "d"}, "answer": {"steps": [["h", "a + 7", "a + 14"], ["a", "v + 1", "v + 15"], ["v", "s + 1", "s + 16"], ["s", "q + 4", "q + 20"], ["q", "u + 11", "u + 31"], ["u", 17, "48"]], "target_var_name": "d", "target_value": 48, "value_dict": {"u": 17}, "is_reverse": true}} | 25,018 | 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 = v + 1; e = u + 15; c = g + 6; l = n + 18; b = l + 14; n = c + 15; d = h + 7; u = 17; g = e + 19; h = a + 7; v = s + 1; s = q + 4; q = u + 11. If u = 17, what is the resulting value of d?",
"role": "user... | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 7 to d, which gives d = a + 14.\n2. Substitute a = v + 1 to d, which gives d = v + 15.\n3. Substitute v = s + 1 to d, which gives d = s + 16.\n4. Substitute s = q + 4 to d, which gives d = q + 20.\n5. Substitute q = u + 11 to d, which gives d = u + 31.\n6. Substitute u = 17 to d, which gives d = 48.\n\nThus, the final answer is d = \\boxed{48}.",
"index": 25018,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = v + 1; e = u + 15; c = g + 6; l = n + 18; b = l + 14; n = c + 15; d = h + 7; u = 17; g = e + 19; h = a + 7; v = s + 1; s = q + 4; q = u + 11. If u = 17, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"d": "e + 10", "l": "d + 10", "u": "l + 4", "h": "u + 6", "p": "h + 6", "f": "p + 10", "o": "e + 5", "t": "o + 4", "b": "t + 1", "s": "b + 6", "z": "s + 2", "m": "z + 4", "e": 16}, "premises": {"e": 16}, "target": "f"}, "answer": {"steps": [["p", "h + 6", "h + 16"], ["h", "u + 6", "u + 22"], ["u", "l + 4", "l + 26"], ["l", "d + 10", "d + 36"], ["d", "e + 10", "e + 46"], ["e", 16, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"e": 16}, "is_reverse": true}} | 25,019 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = 16; u = l + 4; o = e + 5; p = h + 6; t = o + 4; z = s + 2; d = e + 10; l = d + 10; h = u + 6; f = p + 10; b = t + 1; m = z + 4; s = b + 6. If e = 16, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 6 to f, which gives f = h + 16.\n2. Substitute h = u + 6 to f, which gives f = u + 22.\n3. Substitute u = l + 4 to f, which gives f = l + 26.\n4. Substitute l = d + 10 to f, which gives f = d + 36.\n5. Substitute d = e + 10 to f, which gives f = e + 46.\n6. Substitute e = 16 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 25019,
"question": "Consider a system of variables where each variable is defined as follows: e = 16; u = l + 4; o = e + 5; p = h + 6; t = o + 4; z = s + 2; d = e + 10; l = d + 10; h = u + 6; f = p + 10; b = t + 1; m = z + 4; s = b + 6. If e = 16, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 9", "u": "v + 4", "a": "u + 14", "e": "a + 16", "j": "e + 6", "y": "j + 19", "x": "k + 11", "f": "x + 16", "i": "f + 1", "l": "i + 15", "o": "l + 15", "r": "o + 3", "k": 18}, "premises": {"k": 18}, "target": "y"}, "answer": {"steps": [["j", "e + 6", "e + 25"], ["e", "a + 16", "a + 41"], ["a", "u + 14", "u + 55"], ["u", "v + 4", "v + 59"], ["v", "k + 9", "k + 68"], ["k", 18, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"k": 18}, "is_reverse": true}} | 25,020 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = k + 11; f = x + 16; o = l + 15; e = a + 16; j = e + 6; k = 18; i = f + 1; y = j + 19; r = o + 3; v = k + 9; l = i + 15; u = v + 4; a = u + 14. Given that k = 18, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 6 to y, which gives y = e + 25.\n2. Substitute e = a + 16 to y, which gives y = a + 41.\n3. Substitute a = u + 14 to y, which gives y = u + 55.\n4. Substitute u = v + 4 to y, which gives y = v + 59.\n5. Substitute v = k + 9 to y, which gives y = k + 68.\n6. Substitute k = 18 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 25020,
"question": "Suppose a collection of variables is related by the following definitions: x = k + 11; f = x + 16; o = l + 15; e = a + 16; j = e + 6; k = 18; i = f + 1; y = j + 19; r = o + 3; v = k + 9; l = i + 15; u = v + 4; a = u + 14. Given that k = 18, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"y": "q + 12", "c": "y + 6", "a": "c + 6", "m": "a + 1", "d": "m + 10", "b": "d + 8", "f": "q + 19", "j": "f + 20", "n": "j + 3", "l": "n + 2", "h": "l + 12", "k": "h + 8", "q": 18}, "premises": {"q": 18}, "target": "b"}, "answer": {"steps": [["d", "m + 10", "m + 18"], ["m", "a + 1", "a + 19"], ["a", "c + 6", "c + 25"], ["c", "y + 6", "y + 31"], ["y", "q + 12", "q + 43"], ["q", 18, "61"]], "target_var_name": "b", "target_value": 61, "value_dict": {"q": 18}, "is_reverse": true}} | 25,021 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = n + 2; n = j + 3; k = h + 8; c = y + 6; m = a + 1; j = f + 20; a = c + 6; y = q + 12; h = l + 12; d = m + 10; b = d + 8; q = 18; f = q + 19. If q = 18, what is the resulting value of b?",
"role": "user"... | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 10 to b, which gives b = m + 18.\n2. Substitute m = a + 1 to b, which gives b = a + 19.\n3. Substitute a = c + 6 to b, which gives b = c + 25.\n4. Substitute c = y + 6 to b, which gives b = y + 31.\n5. Substitute y = q + 12 to b, which gives b = q + 43.\n6. Substitute q = 18 to b, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 25021,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = n + 2; n = j + 3; k = h + 8; c = y + 6; m = a + 1; j = f + 20; a = c + 6; y = q + 12; h = l + 12; d = m + 10; b = d + 8; q = 18; f = q + 19. If q = 18, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 10", "c": "k + 5", "j": "c + 3", "a": "j + 9", "b": "a + 2", "v": "b + 6", "z": "t + 20", "e": "z + 20", "u": "e + 15", "x": "u + 10", "m": "x + 15", "o": "m + 17", "t": 1}, "premises": {"t": 1}, "target": "v"}, "answer": {"steps": [["b", "a + 2", "a + 8"], ["a", "j + 9", "j + 17"], ["j", "c + 3", "c + 20"], ["c", "k + 5", "k + 25"], ["k", "t + 10", "t + 35"], ["t", 1, "36"]], "target_var_name": "v", "target_value": 36, "value_dict": {"t": 1}, "is_reverse": true}} | 25,022 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = 1; m = x + 15; a = j + 9; x = u + 10; b = a + 2; j = c + 3; v = b + 6; u = e + 15; e = z + 20; k = t + 10; o = m + 17; z = t + 20; c = k + 5. If t = 1, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 36,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 2 to v, which gives v = a + 8.\n2. Substitute a = j + 9 to v, which gives v = j + 17.\n3. Substitute j = c + 3 to v, which gives v = c + 20.\n4. Substitute c = k + 5 to v, which gives v = k + 25.\n5. Substitute k = t + 10 to v, which gives v = t + 35.\n6. Substitute t = 1 to v, which gives v = 36.\n\nThus, the final answer is v = \\boxed{36}.",
"index": 25022,
"question": "Consider a system of variables where each variable is defined as follows: t = 1; m = x + 15; a = j + 9; x = u + 10; b = a + 2; j = c + 3; v = b + 6; u = e + 15; e = z + 20; k = t + 10; o = m + 17; z = t + 20; c = k + 5. If t = 1, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"t": "n + 12", "s": "t + 18", "j": "s + 15", "e": "j + 3", "b": "e + 9", "q": "b + 13", "o": "n + 14", "z": "o + 15", "r": "z + 1", "u": "r + 9", "c": "u + 4", "h": "c + 16", "n": 14}, "premises": {"n": 14}, "target": "q"}, "answer": {"steps": [["b", "e + 9", "e + 22"], ["e", "j + 3", "j + 25"], ["j", "s + 15", "s + 40"], ["s", "t + 18", "t + 58"], ["t", "n + 12", "n + 70"], ["n", 14, "84"]], "target_var_name": "q", "target_value": 84, "value_dict": {"n": 14}, "is_reverse": true}} | 25,023 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = r + 9; s = t + 18; j = s + 15; q = b + 13; r = z + 1; n = 14; o = n + 14; t = n + 12; z = o + 15; e = j + 3; h = c + 16; b = e + 9; c = u + 4. If n = 14, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 9 to q, which gives q = e + 22.\n2. Substitute e = j + 3 to q, which gives q = j + 25.\n3. Substitute j = s + 15 to q, which gives q = s + 40.\n4. Substitute s = t + 18 to q, which gives q = t + 58.\n5. Substitute t = n + 12 to q, which gives q = n + 70.\n6. Substitute n = 14 to q, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 25023,
"question": "Consider a system of variables where each variable is defined as follows: u = r + 9; s = t + 18; j = s + 15; q = b + 13; r = z + 1; n = 14; o = n + 14; t = n + 12; z = o + 15; e = j + 3; h = c + 16; b = e + 9; c = u + 4. If n = 14, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 10", "g": "f + 4", "v": "g + 16", "d": "v + 20", "j": "d + 5", "x": "j + 6", "t": "p + 16", "e": "t + 16", "l": "e + 20", "s": "l + 12", "z": "s + 7", "n": "z + 3", "p": 9}, "premises": {"p": 9}, "target": "x"}, "answer": {"steps": [["j", "d + 5", "d + 11"], ["d", "v + 20", "v + 31"], ["v", "g + 16", "g + 47"], ["g", "f + 4", "f + 51"], ["f", "p + 10", "p + 61"], ["p", 9, "70"]], "target_var_name": "x", "target_value": 70, "value_dict": {"p": 9}, "is_reverse": true}} | 25,024 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 5; e = t + 16; l = e + 20; s = l + 12; g = f + 4; t = p + 16; x = j + 6; n = z + 3; d = v + 20; p = 9; z = s + 7; f = p + 10; v = g + 16. If p = 9, what is the resulting value of x?",
"role": "user"... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 5 to x, which gives x = d + 11.\n2. Substitute d = v + 20 to x, which gives x = v + 31.\n3. Substitute v = g + 16 to x, which gives x = g + 47.\n4. Substitute g = f + 4 to x, which gives x = f + 51.\n5. Substitute f = p + 10 to x, which gives x = p + 61.\n6. Substitute p = 9 to x, which gives x = 70.\n\nThus, the final answer is x = \\boxed{70}.",
"index": 25024,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 5; e = t + 16; l = e + 20; s = l + 12; g = f + 4; t = p + 16; x = j + 6; n = z + 3; d = v + 20; p = 9; z = s + 7; f = p + 10; v = g + 16. If p = 9, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 3", "r": "k + 5", "h": "r + 18", "n": "h + 16", "z": "n + 4", "i": "z + 8", "u": "m + 5", "v": "u + 18", "b": "v + 1", "s": "b + 15", "w": "s + 5", "a": "w + 13", "m": 3}, "premises": {"m": 3}, "target": "i"}, "answer": {"steps": [["z", "n + 4", "n + 12"], ["n", "h + 16", "h + 28"], ["h", "r + 18", "r + 46"], ["r", "k + 5", "k + 51"], ["k", "m + 3", "m + 54"], ["m", 3, "57"]], "target_var_name": "i", "target_value": 57, "value_dict": {"m": 3}, "is_reverse": true}} | 25,025 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = n + 4; r = k + 5; m = 3; h = r + 18; s = b + 15; n = h + 16; w = s + 5; a = w + 13; i = z + 8; k = m + 3; b = v + 1; u = m + 5; v = u + 18. Given that m = 3, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 4 to i, which gives i = n + 12.\n2. Substitute n = h + 16 to i, which gives i = h + 28.\n3. Substitute h = r + 18 to i, which gives i = r + 46.\n4. Substitute r = k + 5 to i, which gives i = k + 51.\n5. Substitute k = m + 3 to i, which gives i = m + 54.\n6. Substitute m = 3 to i, which gives i = 57.\n\nThus, the final answer is i = \\boxed{57}.",
"index": 25025,
"question": "Suppose a collection of variables is related by the following definitions: z = n + 4; r = k + 5; m = 3; h = r + 18; s = b + 15; n = h + 16; w = s + 5; a = w + 13; i = z + 8; k = m + 3; b = v + 1; u = m + 5; v = u + 18. Given that m = 3, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"v": "d + 16", "f": "v + 16", "y": "f + 3", "k": "y + 18", "i": "k + 12", "m": "i + 9", "e": "d + 11", "t": "e + 9", "q": "t + 20", "h": "q + 19", "w": "h + 20", "z": "w + 2", "d": 5}, "premises": {"d": 5}, "target": "m"}, "answer": {"steps": [["i", "k + 12", "k + 21"], ["k", "y + 18", "y + 39"], ["y", "f + 3", "f + 42"], ["f", "v + 16", "v + 58"], ["v", "d + 16", "d + 74"], ["d", 5, "79"]], "target_var_name": "m", "target_value": 79, "value_dict": {"d": 5}, "is_reverse": true}} | 25,026 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = i + 9; h = q + 19; z = w + 2; f = v + 16; d = 5; y = f + 3; w = h + 20; i = k + 12; v = d + 16; q = t + 20; k = y + 18; e = d + 11; t = e + 9. Given that d = 5, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 12 to m, which gives m = k + 21.\n2. Substitute k = y + 18 to m, which gives m = y + 39.\n3. Substitute y = f + 3 to m, which gives m = f + 42.\n4. Substitute f = v + 16 to m, which gives m = v + 58.\n5. Substitute v = d + 16 to m, which gives m = d + 74.\n6. Substitute d = 5 to m, which gives m = 79.\n\nThus, the final answer is m = \\boxed{79}.",
"index": 25026,
"question": "Suppose a collection of variables is related by the following definitions: m = i + 9; h = q + 19; z = w + 2; f = v + 16; d = 5; y = f + 3; w = h + 20; i = k + 12; v = d + 16; q = t + 20; k = y + 18; e = d + 11; t = e + 9. Given that d = 5, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"a": "f + 20", "u": "a + 7", "n": "u + 18", "y": "n + 18", "p": "y + 13", "x": "p + 1", "e": "f + 17", "k": "e + 10", "l": "k + 20", "q": "l + 8", "m": "q + 7", "t": "m + 9", "f": 19}, "premises": {"f": 19}, "target": "x"}, "answer": {"steps": [["p", "y + 13", "y + 14"], ["y", "n + 18", "n + 32"], ["n", "u + 18", "u + 50"], ["u", "a + 7", "a + 57"], ["a", "f + 20", "f + 77"], ["f", 19, "96"]], "target_var_name": "x", "target_value": 96, "value_dict": {"f": 19}, "is_reverse": true}} | 25,027 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = e + 10; p = y + 13; u = a + 7; f = 19; m = q + 7; e = f + 17; l = k + 20; t = m + 9; x = p + 1; a = f + 20; n = u + 18; q = l + 8; y = n + 18. Given that f = 19, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 13 to x, which gives x = y + 14.\n2. Substitute y = n + 18 to x, which gives x = n + 32.\n3. Substitute n = u + 18 to x, which gives x = u + 50.\n4. Substitute u = a + 7 to x, which gives x = a + 57.\n5. Substitute a = f + 20 to x, which gives x = f + 77.\n6. Substitute f = 19 to x, which gives x = 96.\n\nThus, the final answer is x = \\boxed{96}.",
"index": 25027,
"question": "Suppose a collection of variables is related by the following definitions: k = e + 10; p = y + 13; u = a + 7; f = 19; m = q + 7; e = f + 17; l = k + 20; t = m + 9; x = p + 1; a = f + 20; n = u + 18; q = l + 8; y = n + 18. Given that f = 19, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 7", "w": "k + 12", "c": "w + 16", "j": "c + 2", "x": "j + 5", "a": "x + 11", "i": "p + 2", "u": "i + 13", "g": "u + 13", "m": "g + 14", "q": "m + 7", "h": "q + 14", "p": 8}, "premises": {"p": 8}, "target": "a"}, "answer": {"steps": [["x", "j + 5", "j + 16"], ["j", "c + 2", "c + 18"], ["c", "w + 16", "w + 34"], ["w", "k + 12", "k + 46"], ["k", "p + 7", "p + 53"], ["p", 8, "61"]], "target_var_name": "a", "target_value": 61, "value_dict": {"p": 8}, "is_reverse": true}} | 25,028 | 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 = 8; i = p + 2; k = p + 7; c = w + 16; g = u + 13; h = q + 14; x = j + 5; u = i + 13; j = c + 2; q = m + 7; a = x + 11; m = g + 14; w = k + 12. If p = 8, what is the resulting value of a?",
"role": "user"... | math | {
"ground_truth": 61,
"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 + 16.\n2. Substitute j = c + 2 to a, which gives a = c + 18.\n3. Substitute c = w + 16 to a, which gives a = w + 34.\n4. Substitute w = k + 12 to a, which gives a = k + 46.\n5. Substitute k = p + 7 to a, which gives a = p + 53.\n6. Substitute p = 8 to a, which gives a = 61.\n\nThus, the final answer is a = \\boxed{61}.",
"index": 25028,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = 8; i = p + 2; k = p + 7; c = w + 16; g = u + 13; h = q + 14; x = j + 5; u = i + 13; j = c + 2; q = m + 7; a = x + 11; m = g + 14; w = k + 12. If p = 8, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 10", "q": "x + 18", "e": "q + 12", "k": "e + 9", "w": "k + 5", "z": "w + 1", "o": "y + 18", "h": "o + 18", "d": "h + 16", "t": "d + 13", "j": "t + 16", "p": "j + 1", "y": 8}, "premises": {"y": 8}, "target": "z"}, "answer": {"steps": [["w", "k + 5", "k + 6"], ["k", "e + 9", "e + 15"], ["e", "q + 12", "q + 27"], ["q", "x + 18", "x + 45"], ["x", "y + 10", "y + 55"], ["y", 8, "63"]], "target_var_name": "z", "target_value": 63, "value_dict": {"y": 8}, "is_reverse": true}} | 25,029 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = w + 1; t = d + 13; x = y + 10; y = 8; p = j + 1; q = x + 18; k = e + 9; e = q + 12; j = t + 16; o = y + 18; d = h + 16; h = o + 18; w = k + 5. If y = 8, determine 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 w = k + 5 to z, which gives z = k + 6.\n2. Substitute k = e + 9 to z, which gives z = e + 15.\n3. Substitute e = q + 12 to z, which gives z = q + 27.\n4. Substitute q = x + 18 to z, which gives z = x + 45.\n5. Substitute x = y + 10 to z, which gives z = y + 55.\n6. Substitute y = 8 to z, which gives z = 63.\n\nThus, the final answer is z = \\boxed{63}.",
"index": 25029,
"question": "Consider a system of variables where each variable is defined as follows: z = w + 1; t = d + 13; x = y + 10; y = 8; p = j + 1; q = x + 18; k = e + 9; e = q + 12; j = t + 16; o = y + 18; d = h + 16; h = o + 18; w = k + 5. If y = 8, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 2", "o": "f + 16", "c": "o + 11", "a": "c + 8", "j": "a + 10", "v": "j + 13", "t": "g + 10", "q": "t + 17", "i": "q + 12", "k": "i + 4", "r": "k + 6", "b": "r + 13", "g": 10}, "premises": {"g": 10}, "target": "v"}, "answer": {"steps": [["j", "a + 10", "a + 23"], ["a", "c + 8", "c + 31"], ["c", "o + 11", "o + 42"], ["o", "f + 16", "f + 58"], ["f", "g + 2", "g + 60"], ["g", 10, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"g": 10}, "is_reverse": true}} | 25,030 | 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 + 11; r = k + 6; v = j + 13; k = i + 4; i = q + 12; o = f + 16; f = g + 2; g = 10; b = r + 13; q = t + 17; a = c + 8; j = a + 10; t = g + 10. If g = 10, what is the resulting value of v?",
"role": "us... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 10 to v, which gives v = a + 23.\n2. Substitute a = c + 8 to v, which gives v = c + 31.\n3. Substitute c = o + 11 to v, which gives v = o + 42.\n4. Substitute o = f + 16 to v, which gives v = f + 58.\n5. Substitute f = g + 2 to v, which gives v = g + 60.\n6. Substitute g = 10 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 25030,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 11; r = k + 6; v = j + 13; k = i + 4; i = q + 12; o = f + 16; f = g + 2; g = 10; b = r + 13; q = t + 17; a = c + 8; j = a + 10; t = g + 10. If g = 10, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 10", "g": "p + 20", "b": "g + 7", "i": "b + 15", "e": "i + 8", "q": "e + 15", "a": "s + 17", "d": "a + 1", "h": "d + 18", "k": "h + 15", "c": "k + 7", "z": "c + 18", "s": 8}, "premises": {"s": 8}, "target": "q"}, "answer": {"steps": [["e", "i + 8", "i + 23"], ["i", "b + 15", "b + 38"], ["b", "g + 7", "g + 45"], ["g", "p + 20", "p + 65"], ["p", "s + 10", "s + 75"], ["s", 8, "83"]], "target_var_name": "q", "target_value": 83, "value_dict": {"s": 8}, "is_reverse": true}} | 25,031 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = b + 15; s = 8; c = k + 7; a = s + 17; z = c + 18; d = a + 1; g = p + 20; k = h + 15; q = e + 15; h = d + 18; p = s + 10; e = i + 8; b = g + 7. Given that s = 8, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 8 to q, which gives q = i + 23.\n2. Substitute i = b + 15 to q, which gives q = b + 38.\n3. Substitute b = g + 7 to q, which gives q = g + 45.\n4. Substitute g = p + 20 to q, which gives q = p + 65.\n5. Substitute p = s + 10 to q, which gives q = s + 75.\n6. Substitute s = 8 to q, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 25031,
"question": "Suppose a collection of variables is related by the following definitions: i = b + 15; s = 8; c = k + 7; a = s + 17; z = c + 18; d = a + 1; g = p + 20; k = h + 15; q = e + 15; h = d + 18; p = s + 10; e = i + 8; b = g + 7. Given that s = 8, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 17", "q": "w + 16", "s": "q + 17", "h": "s + 11", "v": "h + 1", "k": "v + 2", "x": "b + 11", "r": "x + 1", "p": "r + 12", "f": "p + 14", "z": "f + 7", "j": "z + 1", "b": 19}, "premises": {"b": 19}, "target": "k"}, "answer": {"steps": [["v", "h + 1", "h + 3"], ["h", "s + 11", "s + 14"], ["s", "q + 17", "q + 31"], ["q", "w + 16", "w + 47"], ["w", "b + 17", "b + 64"], ["b", 19, "83"]], "target_var_name": "k", "target_value": 83, "value_dict": {"b": 19}, "is_reverse": true}} | 25,032 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = f + 7; b = 19; p = r + 12; v = h + 1; s = q + 17; j = z + 1; w = b + 17; k = v + 2; r = x + 1; f = p + 14; x = b + 11; q = w + 16; h = s + 11. If b = 19, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 1 to k, which gives k = h + 3.\n2. Substitute h = s + 11 to k, which gives k = s + 14.\n3. Substitute s = q + 17 to k, which gives k = q + 31.\n4. Substitute q = w + 16 to k, which gives k = w + 47.\n5. Substitute w = b + 17 to k, which gives k = b + 64.\n6. Substitute b = 19 to k, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 25032,
"question": "Consider a system of variables where each variable is defined as follows: z = f + 7; b = 19; p = r + 12; v = h + 1; s = q + 17; j = z + 1; w = b + 17; k = v + 2; r = x + 1; f = p + 14; x = b + 11; q = w + 16; h = s + 11. If b = 19, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 3", "u": "m + 10", "s": "u + 9", "z": "s + 13", "x": "z + 12", "r": "x + 3", "a": "w + 7", "h": "a + 12", "b": "h + 3", "k": "b + 17", "c": "k + 17", "l": "c + 3", "w": 7}, "premises": {"w": 7}, "target": "r"}, "answer": {"steps": [["x", "z + 12", "z + 15"], ["z", "s + 13", "s + 28"], ["s", "u + 9", "u + 37"], ["u", "m + 10", "m + 47"], ["m", "w + 3", "w + 50"], ["w", 7, "57"]], "target_var_name": "r", "target_value": 57, "value_dict": {"w": 7}, "is_reverse": true}} | 25,033 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = x + 3; s = u + 9; m = w + 3; a = w + 7; b = h + 3; l = c + 3; k = b + 17; h = a + 12; w = 7; x = z + 12; u = m + 10; z = s + 13; c = k + 17. If w = 7, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 12 to r, which gives r = z + 15.\n2. Substitute z = s + 13 to r, which gives r = s + 28.\n3. Substitute s = u + 9 to r, which gives r = u + 37.\n4. Substitute u = m + 10 to r, which gives r = m + 47.\n5. Substitute m = w + 3 to r, which gives r = w + 50.\n6. Substitute w = 7 to r, which gives r = 57.\n\nThus, the final answer is r = \\boxed{57}.",
"index": 25033,
"question": "Consider a system of variables where each variable is defined as follows: r = x + 3; s = u + 9; m = w + 3; a = w + 7; b = h + 3; l = c + 3; k = b + 17; h = a + 12; w = 7; x = z + 12; u = m + 10; z = s + 13; c = k + 17. If w = 7, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"m": "q + 12", "h": "m + 19", "l": "h + 15", "t": "l + 6", "j": "t + 10", "f": "j + 19", "i": "q + 11", "b": "i + 8", "r": "b + 13", "s": "r + 6", "u": "s + 9", "a": "u + 9", "q": 10}, "premises": {"q": 10}, "target": "f"}, "answer": {"steps": [["j", "t + 10", "t + 29"], ["t", "l + 6", "l + 35"], ["l", "h + 15", "h + 50"], ["h", "m + 19", "m + 69"], ["m", "q + 12", "q + 81"], ["q", 10, "91"]], "target_var_name": "f", "target_value": 91, "value_dict": {"q": 10}, "is_reverse": true}} | 25,034 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = h + 15; s = r + 6; u = s + 9; i = q + 11; f = j + 19; h = m + 19; r = b + 13; a = u + 9; t = l + 6; j = t + 10; b = i + 8; q = 10; m = q + 12. Given that q = 10, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 10 to f, which gives f = t + 29.\n2. Substitute t = l + 6 to f, which gives f = l + 35.\n3. Substitute l = h + 15 to f, which gives f = h + 50.\n4. Substitute h = m + 19 to f, which gives f = m + 69.\n5. Substitute m = q + 12 to f, which gives f = q + 81.\n6. Substitute q = 10 to f, which gives f = 91.\n\nThus, the final answer is f = \\boxed{91}.",
"index": 25034,
"question": "Suppose a collection of variables is related by the following definitions: l = h + 15; s = r + 6; u = s + 9; i = q + 11; f = j + 19; h = m + 19; r = b + 13; a = u + 9; t = l + 6; j = t + 10; b = i + 8; q = 10; m = q + 12. Given that q = 10, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 8", "k": "d + 2", "g": "k + 15", "n": "g + 18", "f": "n + 10", "v": "f + 17", "z": "x + 5", "s": "z + 16", "c": "s + 17", "h": "c + 17", "t": "h + 14", "m": "t + 17", "x": 13}, "premises": {"x": 13}, "target": "v"}, "answer": {"steps": [["f", "n + 10", "n + 27"], ["n", "g + 18", "g + 45"], ["g", "k + 15", "k + 60"], ["k", "d + 2", "d + 62"], ["d", "x + 8", "x + 70"], ["x", 13, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"x": 13}, "is_reverse": true}} | 25,035 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = k + 15; m = t + 17; d = x + 8; s = z + 16; v = f + 17; t = h + 14; x = 13; c = s + 17; z = x + 5; k = d + 2; f = n + 10; h = c + 17; n = g + 18. If x = 13, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 10 to v, which gives v = n + 27.\n2. Substitute n = g + 18 to v, which gives v = g + 45.\n3. Substitute g = k + 15 to v, which gives v = k + 60.\n4. Substitute k = d + 2 to v, which gives v = d + 62.\n5. Substitute d = x + 8 to v, which gives v = x + 70.\n6. Substitute x = 13 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 25035,
"question": "Consider a system of variables where each variable is defined as follows: g = k + 15; m = t + 17; d = x + 8; s = z + 16; v = f + 17; t = h + 14; x = 13; c = s + 17; z = x + 5; k = d + 2; f = n + 10; h = c + 17; n = g + 18. If x = 13, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 1", "w": "z + 3", "q": "w + 5", "a": "q + 19", "u": "a + 16", "g": "u + 8", "l": "c + 19", "k": "l + 18", "m": "k + 5", "r": "m + 4", "f": "r + 13", "v": "f + 20", "c": 16}, "premises": {"c": 16}, "target": "g"}, "answer": {"steps": [["u", "a + 16", "a + 24"], ["a", "q + 19", "q + 43"], ["q", "w + 5", "w + 48"], ["w", "z + 3", "z + 51"], ["z", "c + 1", "c + 52"], ["c", 16, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"c": 16}, "is_reverse": true}} | 25,036 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = c + 19; g = u + 8; u = a + 16; r = m + 4; k = l + 18; f = r + 13; a = q + 19; q = w + 5; z = c + 1; v = f + 20; w = z + 3; c = 16; m = k + 5. Given that c = 16, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 16 to g, which gives g = a + 24.\n2. Substitute a = q + 19 to g, which gives g = q + 43.\n3. Substitute q = w + 5 to g, which gives g = w + 48.\n4. Substitute w = z + 3 to g, which gives g = z + 51.\n5. Substitute z = c + 1 to g, which gives g = c + 52.\n6. Substitute c = 16 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 25036,
"question": "Suppose a collection of variables is related by the following definitions: l = c + 19; g = u + 8; u = a + 16; r = m + 4; k = l + 18; f = r + 13; a = q + 19; q = w + 5; z = c + 1; v = f + 20; w = z + 3; c = 16; m = k + 5. Given that c = 16, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 10", "a": "d + 12", "k": "a + 10", "i": "k + 13", "x": "i + 4", "u": "x + 3", "n": "s + 20", "o": "n + 6", "c": "o + 9", "h": "c + 20", "w": "h + 19", "t": "w + 20", "s": 4}, "premises": {"s": 4}, "target": "u"}, "answer": {"steps": [["x", "i + 4", "i + 7"], ["i", "k + 13", "k + 20"], ["k", "a + 10", "a + 30"], ["a", "d + 12", "d + 42"], ["d", "s + 10", "s + 52"], ["s", 4, "56"]], "target_var_name": "u", "target_value": 56, "value_dict": {"s": 4}, "is_reverse": true}} | 25,037 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = a + 10; a = d + 12; x = i + 4; t = w + 20; s = 4; h = c + 20; w = h + 19; u = x + 3; c = o + 9; n = s + 20; o = n + 6; d = s + 10; i = k + 13. If s = 4, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 4 to u, which gives u = i + 7.\n2. Substitute i = k + 13 to u, which gives u = k + 20.\n3. Substitute k = a + 10 to u, which gives u = a + 30.\n4. Substitute a = d + 12 to u, which gives u = d + 42.\n5. Substitute d = s + 10 to u, which gives u = s + 52.\n6. Substitute s = 4 to u, which gives u = 56.\n\nThus, the final answer is u = \\boxed{56}.",
"index": 25037,
"question": "Consider a system of variables where each variable is defined as follows: k = a + 10; a = d + 12; x = i + 4; t = w + 20; s = 4; h = c + 20; w = h + 19; u = x + 3; c = o + 9; n = s + 20; o = n + 6; d = s + 10; i = k + 13. If s = 4, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"x": "h + 14", "j": "x + 1", "w": "j + 17", "u": "w + 2", "e": "u + 6", "v": "e + 12", "k": "h + 4", "l": "k + 16", "d": "l + 17", "t": "d + 20", "p": "t + 7", "z": "p + 9", "h": 19}, "premises": {"h": 19}, "target": "v"}, "answer": {"steps": [["e", "u + 6", "u + 18"], ["u", "w + 2", "w + 20"], ["w", "j + 17", "j + 37"], ["j", "x + 1", "x + 38"], ["x", "h + 14", "h + 52"], ["h", 19, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"h": 19}, "is_reverse": true}} | 25,038 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = k + 16; k = h + 4; d = l + 17; z = p + 9; x = h + 14; j = x + 1; t = d + 20; w = j + 17; h = 19; v = e + 12; e = u + 6; u = w + 2; p = t + 7. Given that h = 19, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 6 to v, which gives v = u + 18.\n2. Substitute u = w + 2 to v, which gives v = w + 20.\n3. Substitute w = j + 17 to v, which gives v = j + 37.\n4. Substitute j = x + 1 to v, which gives v = x + 38.\n5. Substitute x = h + 14 to v, which gives v = h + 52.\n6. Substitute h = 19 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 25038,
"question": "Suppose a collection of variables is related by the following definitions: l = k + 16; k = h + 4; d = l + 17; z = p + 9; x = h + 14; j = x + 1; t = d + 20; w = j + 17; h = 19; v = e + 12; e = u + 6; u = w + 2; p = t + 7. Given that h = 19, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"r": "e + 2", "v": "r + 12", "p": "v + 3", "a": "p + 16", "i": "a + 4", "x": "i + 19", "s": "e + 5", "u": "s + 7", "f": "u + 8", "m": "f + 10", "o": "m + 17", "q": "o + 10", "e": 4}, "premises": {"e": 4}, "target": "x"}, "answer": {"steps": [["i", "a + 4", "a + 23"], ["a", "p + 16", "p + 39"], ["p", "v + 3", "v + 42"], ["v", "r + 12", "r + 54"], ["r", "e + 2", "e + 56"], ["e", 4, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"e": 4}, "is_reverse": true}} | 25,039 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = e + 5; r = e + 2; u = s + 7; e = 4; v = r + 12; m = f + 10; o = m + 17; x = i + 19; q = o + 10; i = a + 4; f = u + 8; p = v + 3; a = p + 16. Given that e = 4, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 4 to x, which gives x = a + 23.\n2. Substitute a = p + 16 to x, which gives x = p + 39.\n3. Substitute p = v + 3 to x, which gives x = v + 42.\n4. Substitute v = r + 12 to x, which gives x = r + 54.\n5. Substitute r = e + 2 to x, which gives x = e + 56.\n6. Substitute e = 4 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 25039,
"question": "Suppose a collection of variables is related by the following definitions: s = e + 5; r = e + 2; u = s + 7; e = 4; v = r + 12; m = f + 10; o = m + 17; x = i + 19; q = o + 10; i = a + 4; f = u + 8; p = v + 3; a = p + 16. Given that e = 4, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 14", "z": "w + 19", "c": "z + 15", "q": "c + 15", "d": "q + 3", "f": "d + 9", "l": "n + 14", "j": "l + 10", "v": "j + 6", "g": "v + 16", "k": "g + 8", "r": "k + 20", "n": 4}, "premises": {"n": 4}, "target": "f"}, "answer": {"steps": [["d", "q + 3", "q + 12"], ["q", "c + 15", "c + 27"], ["c", "z + 15", "z + 42"], ["z", "w + 19", "w + 61"], ["w", "n + 14", "n + 75"], ["n", 4, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"n": 4}, "is_reverse": true}} | 25,040 | 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 = 4; g = v + 16; l = n + 14; z = w + 19; v = j + 6; q = c + 15; w = n + 14; r = k + 20; k = g + 8; c = z + 15; d = q + 3; j = l + 10; f = d + 9. If n = 4, what is the resulting value of f?",
"role": "user... | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 3 to f, which gives f = q + 12.\n2. Substitute q = c + 15 to f, which gives f = c + 27.\n3. Substitute c = z + 15 to f, which gives f = z + 42.\n4. Substitute z = w + 19 to f, which gives f = w + 61.\n5. Substitute w = n + 14 to f, which gives f = n + 75.\n6. Substitute n = 4 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 25040,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = 4; g = v + 16; l = n + 14; z = w + 19; v = j + 6; q = c + 15; w = n + 14; r = k + 20; k = g + 8; c = z + 15; d = q + 3; j = l + 10; f = d + 9. If n = 4, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 15", "p": "o + 6", "m": "p + 12", "q": "m + 1", "v": "q + 4", "t": "v + 9", "h": "w + 5", "s": "h + 6", "c": "s + 6", "g": "c + 18", "k": "g + 15", "y": "k + 19", "w": 16}, "premises": {"w": 16}, "target": "t"}, "answer": {"steps": [["v", "q + 4", "q + 13"], ["q", "m + 1", "m + 14"], ["m", "p + 12", "p + 26"], ["p", "o + 6", "o + 32"], ["o", "w + 15", "w + 47"], ["w", 16, "63"]], "target_var_name": "t", "target_value": 63, "value_dict": {"w": 16}, "is_reverse": true}} | 25,041 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 15; m = p + 12; t = v + 9; y = k + 19; s = h + 6; o = w + 15; c = s + 6; h = w + 5; g = c + 18; p = o + 6; v = q + 4; q = m + 1; w = 16. If w = 16, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 4 to t, which gives t = q + 13.\n2. Substitute q = m + 1 to t, which gives t = m + 14.\n3. Substitute m = p + 12 to t, which gives t = p + 26.\n4. Substitute p = o + 6 to t, which gives t = o + 32.\n5. Substitute o = w + 15 to t, which gives t = w + 47.\n6. Substitute w = 16 to t, which gives t = 63.\n\nThus, the final answer is t = \\boxed{63}.",
"index": 25041,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 15; m = p + 12; t = v + 9; y = k + 19; s = h + 6; o = w + 15; c = s + 6; h = w + 5; g = c + 18; p = o + 6; v = q + 4; q = m + 1; w = 16. If w = 16, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 6", "v": "z + 16", "b": "v + 10", "o": "b + 5", "d": "o + 4", "i": "d + 11", "a": "n + 14", "h": "a + 3", "m": "h + 14", "s": "m + 15", "q": "s + 10", "y": "q + 18", "n": 1}, "premises": {"n": 1}, "target": "i"}, "answer": {"steps": [["d", "o + 4", "o + 15"], ["o", "b + 5", "b + 20"], ["b", "v + 10", "v + 30"], ["v", "z + 16", "z + 46"], ["z", "n + 6", "n + 52"], ["n", 1, "53"]], "target_var_name": "i", "target_value": 53, "value_dict": {"n": 1}, "is_reverse": true}} | 25,042 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = q + 18; n = 1; z = n + 6; a = n + 14; d = o + 4; v = z + 16; m = h + 14; h = a + 3; i = d + 11; s = m + 15; b = v + 10; o = b + 5; q = s + 10. If n = 1, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 4 to i, which gives i = o + 15.\n2. Substitute o = b + 5 to i, which gives i = b + 20.\n3. Substitute b = v + 10 to i, which gives i = v + 30.\n4. Substitute v = z + 16 to i, which gives i = z + 46.\n5. Substitute z = n + 6 to i, which gives i = n + 52.\n6. Substitute n = 1 to i, which gives i = 53.\n\nThus, the final answer is i = \\boxed{53}.",
"index": 25042,
"question": "Consider a system of variables where each variable is defined as follows: y = q + 18; n = 1; z = n + 6; a = n + 14; d = o + 4; v = z + 16; m = h + 14; h = a + 3; i = d + 11; s = m + 15; b = v + 10; o = b + 5; q = s + 10. If n = 1, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 18", "a": "n + 6", "o": "a + 18", "q": "o + 12", "b": "q + 7", "z": "b + 9", "f": "v + 1", "i": "f + 18", "m": "i + 14", "h": "m + 17", "e": "h + 18", "g": "e + 1", "v": 9}, "premises": {"v": 9}, "target": "z"}, "answer": {"steps": [["b", "q + 7", "q + 16"], ["q", "o + 12", "o + 28"], ["o", "a + 18", "a + 46"], ["a", "n + 6", "n + 52"], ["n", "v + 18", "v + 70"], ["v", 9, "79"]], "target_var_name": "z", "target_value": 79, "value_dict": {"v": 9}, "is_reverse": true}} | 25,043 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = m + 17; e = h + 18; v = 9; n = v + 18; f = v + 1; a = n + 6; g = e + 1; z = b + 9; m = i + 14; i = f + 18; q = o + 12; b = q + 7; o = a + 18. Given that v = 9, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 7 to z, which gives z = q + 16.\n2. Substitute q = o + 12 to z, which gives z = o + 28.\n3. Substitute o = a + 18 to z, which gives z = a + 46.\n4. Substitute a = n + 6 to z, which gives z = n + 52.\n5. Substitute n = v + 18 to z, which gives z = v + 70.\n6. Substitute v = 9 to z, which gives z = 79.\n\nThus, the final answer is z = \\boxed{79}.",
"index": 25043,
"question": "Suppose a collection of variables is related by the following definitions: h = m + 17; e = h + 18; v = 9; n = v + 18; f = v + 1; a = n + 6; g = e + 1; z = b + 9; m = i + 14; i = f + 18; q = o + 12; b = q + 7; o = a + 18. Given that v = 9, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 8", "g": "u + 11", "o": "g + 7", "q": "o + 16", "r": "q + 10", "v": "r + 4", "b": "j + 13", "a": "b + 1", "p": "a + 11", "y": "p + 4", "z": "y + 3", "t": "z + 8", "j": 17}, "premises": {"j": 17}, "target": "v"}, "answer": {"steps": [["r", "q + 10", "q + 14"], ["q", "o + 16", "o + 30"], ["o", "g + 7", "g + 37"], ["g", "u + 11", "u + 48"], ["u", "j + 8", "j + 56"], ["j", 17, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"j": 17}, "is_reverse": true}} | 25,044 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 17; p = a + 11; u = j + 8; z = y + 3; v = r + 4; r = q + 10; t = z + 8; a = b + 1; q = o + 16; g = u + 11; b = j + 13; y = p + 4; o = g + 7. Given that j = 17, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 10 to v, which gives v = q + 14.\n2. Substitute q = o + 16 to v, which gives v = o + 30.\n3. Substitute o = g + 7 to v, which gives v = g + 37.\n4. Substitute g = u + 11 to v, which gives v = u + 48.\n5. Substitute u = j + 8 to v, which gives v = j + 56.\n6. Substitute j = 17 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 25044,
"question": "Suppose a collection of variables is related by the following definitions: j = 17; p = a + 11; u = j + 8; z = y + 3; v = r + 4; r = q + 10; t = z + 8; a = b + 1; q = o + 16; g = u + 11; b = j + 13; y = p + 4; o = g + 7. Given that j = 17, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"s": "i + 6", "q": "s + 3", "w": "q + 12", "j": "w + 19", "k": "j + 18", "v": "k + 16", "p": "i + 17", "c": "p + 10", "h": "c + 14", "y": "h + 5", "n": "y + 6", "z": "n + 11", "i": 10}, "premises": {"i": 10}, "target": "v"}, "answer": {"steps": [["k", "j + 18", "j + 34"], ["j", "w + 19", "w + 53"], ["w", "q + 12", "q + 65"], ["q", "s + 3", "s + 68"], ["s", "i + 6", "i + 74"], ["i", 10, "84"]], "target_var_name": "v", "target_value": 84, "value_dict": {"i": 10}, "is_reverse": true}} | 25,045 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = y + 6; c = p + 10; w = q + 12; y = h + 5; s = i + 6; j = w + 19; z = n + 11; i = 10; p = i + 17; k = j + 18; q = s + 3; h = c + 14; v = k + 16. If i = 10, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 18 to v, which gives v = j + 34.\n2. Substitute j = w + 19 to v, which gives v = w + 53.\n3. Substitute w = q + 12 to v, which gives v = q + 65.\n4. Substitute q = s + 3 to v, which gives v = s + 68.\n5. Substitute s = i + 6 to v, which gives v = i + 74.\n6. Substitute i = 10 to v, which gives v = 84.\n\nThus, the final answer is v = \\boxed{84}.",
"index": 25045,
"question": "Consider a system of variables where each variable is defined as follows: n = y + 6; c = p + 10; w = q + 12; y = h + 5; s = i + 6; j = w + 19; z = n + 11; i = 10; p = i + 17; k = j + 18; q = s + 3; h = c + 14; v = k + 16. If i = 10, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 2", "b": "p + 11", "y": "b + 13", "c": "y + 5", "j": "c + 6", "s": "j + 1", "h": "x + 1", "m": "h + 17", "e": "m + 20", "w": "e + 1", "v": "w + 7", "k": "v + 19", "x": 3}, "premises": {"x": 3}, "target": "s"}, "answer": {"steps": [["j", "c + 6", "c + 7"], ["c", "y + 5", "y + 12"], ["y", "b + 13", "b + 25"], ["b", "p + 11", "p + 36"], ["p", "x + 2", "x + 38"], ["x", 3, "41"]], "target_var_name": "s", "target_value": 41, "value_dict": {"x": 3}, "is_reverse": true}} | 25,046 | 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 = y + 5; v = w + 7; j = c + 6; h = x + 1; s = j + 1; x = 3; m = h + 17; k = v + 19; y = b + 13; e = m + 20; b = p + 11; p = x + 2; w = e + 1. If x = 3, what is the resulting value of s?",
"role": "user"
... | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 6 to s, which gives s = c + 7.\n2. Substitute c = y + 5 to s, which gives s = y + 12.\n3. Substitute y = b + 13 to s, which gives s = b + 25.\n4. Substitute b = p + 11 to s, which gives s = p + 36.\n5. Substitute p = x + 2 to s, which gives s = x + 38.\n6. Substitute x = 3 to s, which gives s = 41.\n\nThus, the final answer is s = \\boxed{41}.",
"index": 25046,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = y + 5; v = w + 7; j = c + 6; h = x + 1; s = j + 1; x = 3; m = h + 17; k = v + 19; y = b + 13; e = m + 20; b = p + 11; p = x + 2; w = e + 1. If x = 3, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"h": "i + 2", "a": "h + 18", "q": "a + 14", "f": "q + 13", "k": "f + 12", "e": "k + 20", "b": "i + 9", "v": "b + 9", "z": "v + 13", "r": "z + 15", "u": "r + 12", "w": "u + 17", "i": 4}, "premises": {"i": 4}, "target": "e"}, "answer": {"steps": [["k", "f + 12", "f + 32"], ["f", "q + 13", "q + 45"], ["q", "a + 14", "a + 59"], ["a", "h + 18", "h + 77"], ["h", "i + 2", "i + 79"], ["i", 4, "83"]], "target_var_name": "e", "target_value": 83, "value_dict": {"i": 4}, "is_reverse": true}} | 25,047 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = k + 20; q = a + 14; u = r + 12; v = b + 9; r = z + 15; h = i + 2; a = h + 18; i = 4; w = u + 17; k = f + 12; f = q + 13; z = v + 13; b = i + 9. Given that i = 4, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 12 to e, which gives e = f + 32.\n2. Substitute f = q + 13 to e, which gives e = q + 45.\n3. Substitute q = a + 14 to e, which gives e = a + 59.\n4. Substitute a = h + 18 to e, which gives e = h + 77.\n5. Substitute h = i + 2 to e, which gives e = i + 79.\n6. Substitute i = 4 to e, which gives e = 83.\n\nThus, the final answer is e = \\boxed{83}.",
"index": 25047,
"question": "Suppose a collection of variables is related by the following definitions: e = k + 20; q = a + 14; u = r + 12; v = b + 9; r = z + 15; h = i + 2; a = h + 18; i = 4; w = u + 17; k = f + 12; f = q + 13; z = v + 13; b = i + 9. Given that i = 4, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 1", "f": "k + 14", "i": "f + 18", "j": "i + 3", "m": "j + 19", "y": "m + 18", "t": "v + 20", "e": "t + 1", "z": "e + 14", "a": "z + 18", "u": "a + 7", "c": "u + 9", "v": 3}, "premises": {"v": 3}, "target": "y"}, "answer": {"steps": [["m", "j + 19", "j + 37"], ["j", "i + 3", "i + 40"], ["i", "f + 18", "f + 58"], ["f", "k + 14", "k + 72"], ["k", "v + 1", "v + 73"], ["v", 3, "76"]], "target_var_name": "y", "target_value": 76, "value_dict": {"v": 3}, "is_reverse": true}} | 25,048 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = m + 18; k = v + 1; i = f + 18; v = 3; e = t + 1; a = z + 18; u = a + 7; f = k + 14; c = u + 9; z = e + 14; m = j + 19; j = i + 3; t = v + 20. If v = 3, what is the resulting value of y?",
"role": "user"... | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 19 to y, which gives y = j + 37.\n2. Substitute j = i + 3 to y, which gives y = i + 40.\n3. Substitute i = f + 18 to y, which gives y = f + 58.\n4. Substitute f = k + 14 to y, which gives y = k + 72.\n5. Substitute k = v + 1 to y, which gives y = v + 73.\n6. Substitute v = 3 to y, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 25048,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = m + 18; k = v + 1; i = f + 18; v = 3; e = t + 1; a = z + 18; u = a + 7; f = k + 14; c = u + 9; z = e + 14; m = j + 19; j = i + 3; t = v + 20. If v = 3, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"k": "w + 19", "u": "k + 7", "m": "u + 17", "i": "m + 5", "s": "i + 12", "j": "s + 11", "v": "w + 18", "y": "v + 4", "q": "y + 20", "a": "q + 20", "o": "a + 9", "t": "o + 6", "w": 2}, "premises": {"w": 2}, "target": "j"}, "answer": {"steps": [["s", "i + 12", "i + 23"], ["i", "m + 5", "m + 28"], ["m", "u + 17", "u + 45"], ["u", "k + 7", "k + 52"], ["k", "w + 19", "w + 71"], ["w", 2, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"w": 2}, "is_reverse": true}} | 25,049 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = q + 20; j = s + 11; w = 2; m = u + 17; u = k + 7; y = v + 4; i = m + 5; q = y + 20; v = w + 18; s = i + 12; k = w + 19; t = o + 6; o = a + 9. If w = 2, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 12 to j, which gives j = i + 23.\n2. Substitute i = m + 5 to j, which gives j = m + 28.\n3. Substitute m = u + 17 to j, which gives j = u + 45.\n4. Substitute u = k + 7 to j, which gives j = k + 52.\n5. Substitute k = w + 19 to j, which gives j = w + 71.\n6. Substitute w = 2 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 25049,
"question": "Consider a system of variables where each variable is defined as follows: a = q + 20; j = s + 11; w = 2; m = u + 17; u = k + 7; y = v + 4; i = m + 5; q = y + 20; v = w + 18; s = i + 12; k = w + 19; t = o + 6; o = a + 9. If w = 2, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 7", "d": "y + 14", "v": "d + 1", "z": "v + 10", "w": "z + 13", "o": "w + 4", "h": "b + 18", "u": "h + 2", "f": "u + 13", "c": "f + 9", "t": "c + 15", "l": "t + 14", "b": 1}, "premises": {"b": 1}, "target": "o"}, "answer": {"steps": [["w", "z + 13", "z + 17"], ["z", "v + 10", "v + 27"], ["v", "d + 1", "d + 28"], ["d", "y + 14", "y + 42"], ["y", "b + 7", "b + 49"], ["b", 1, "50"]], "target_var_name": "o", "target_value": 50, "value_dict": {"b": 1}, "is_reverse": true}} | 25,050 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = v + 10; f = u + 13; d = y + 14; c = f + 9; w = z + 13; y = b + 7; u = h + 2; t = c + 15; h = b + 18; b = 1; l = t + 14; o = w + 4; v = d + 1. If b = 1, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 13 to o, which gives o = z + 17.\n2. Substitute z = v + 10 to o, which gives o = v + 27.\n3. Substitute v = d + 1 to o, which gives o = d + 28.\n4. Substitute d = y + 14 to o, which gives o = y + 42.\n5. Substitute y = b + 7 to o, which gives o = b + 49.\n6. Substitute b = 1 to o, which gives o = 50.\n\nThus, the final answer is o = \\boxed{50}.",
"index": 25050,
"question": "Consider a system of variables where each variable is defined as follows: z = v + 10; f = u + 13; d = y + 14; c = f + 9; w = z + 13; y = b + 7; u = h + 2; t = c + 15; h = b + 18; b = 1; l = t + 14; o = w + 4; v = d + 1. If b = 1, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 2", "k": "x + 18", "h": "k + 3", "r": "h + 7", "j": "r + 19", "v": "j + 11", "i": "u + 15", "b": "i + 5", "d": "b + 14", "z": "d + 11", "s": "z + 12", "m": "s + 2", "u": 2}, "premises": {"u": 2}, "target": "v"}, "answer": {"steps": [["j", "r + 19", "r + 30"], ["r", "h + 7", "h + 37"], ["h", "k + 3", "k + 40"], ["k", "x + 18", "x + 58"], ["x", "u + 2", "u + 60"], ["u", 2, "62"]], "target_var_name": "v", "target_value": 62, "value_dict": {"u": 2}, "is_reverse": true}} | 25,051 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = 2; m = s + 2; j = r + 19; d = b + 14; r = h + 7; b = i + 5; v = j + 11; h = k + 3; s = z + 12; z = d + 11; i = u + 15; x = u + 2; k = x + 18. Given that u = 2, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 19 to v, which gives v = r + 30.\n2. Substitute r = h + 7 to v, which gives v = h + 37.\n3. Substitute h = k + 3 to v, which gives v = k + 40.\n4. Substitute k = x + 18 to v, which gives v = x + 58.\n5. Substitute x = u + 2 to v, which gives v = u + 60.\n6. Substitute u = 2 to v, which gives v = 62.\n\nThus, the final answer is v = \\boxed{62}.",
"index": 25051,
"question": "Suppose a collection of variables is related by the following definitions: u = 2; m = s + 2; j = r + 19; d = b + 14; r = h + 7; b = i + 5; v = j + 11; h = k + 3; s = z + 12; z = d + 11; i = u + 15; x = u + 2; k = x + 18. Given that u = 2, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 18", "g": "z + 11", "f": "g + 15", "o": "f + 13", "a": "o + 19", "e": "a + 6", "u": "y + 5", "d": "u + 16", "k": "d + 16", "j": "k + 4", "h": "j + 11", "s": "h + 8", "y": 12}, "premises": {"y": 12}, "target": "e"}, "answer": {"steps": [["a", "o + 19", "o + 25"], ["o", "f + 13", "f + 38"], ["f", "g + 15", "g + 53"], ["g", "z + 11", "z + 64"], ["z", "y + 18", "y + 82"], ["y", 12, "94"]], "target_var_name": "e", "target_value": 94, "value_dict": {"y": 12}, "is_reverse": true}} | 25,052 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 12; s = h + 8; z = y + 18; u = y + 5; f = g + 15; j = k + 4; e = a + 6; a = o + 19; o = f + 13; k = d + 16; h = j + 11; g = z + 11; d = u + 16. Given that y = 12, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 19 to e, which gives e = o + 25.\n2. Substitute o = f + 13 to e, which gives e = f + 38.\n3. Substitute f = g + 15 to e, which gives e = g + 53.\n4. Substitute g = z + 11 to e, which gives e = z + 64.\n5. Substitute z = y + 18 to e, which gives e = y + 82.\n6. Substitute y = 12 to e, which gives e = 94.\n\nThus, the final answer is e = \\boxed{94}.",
"index": 25052,
"question": "Suppose a collection of variables is related by the following definitions: y = 12; s = h + 8; z = y + 18; u = y + 5; f = g + 15; j = k + 4; e = a + 6; a = o + 19; o = f + 13; k = d + 16; h = j + 11; g = z + 11; d = u + 16. Given that y = 12, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 16", "o": "s + 11", "x": "o + 19", "l": "x + 3", "j": "l + 16", "c": "j + 14", "t": "f + 6", "d": "t + 13", "b": "d + 17", "i": "b + 15", "p": "i + 4", "u": "p + 3", "f": 17}, "premises": {"f": 17}, "target": "c"}, "answer": {"steps": [["j", "l + 16", "l + 30"], ["l", "x + 3", "x + 33"], ["x", "o + 19", "o + 52"], ["o", "s + 11", "s + 63"], ["s", "f + 16", "f + 79"], ["f", 17, "96"]], "target_var_name": "c", "target_value": 96, "value_dict": {"f": 17}, "is_reverse": true}} | 25,053 | 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 = j + 14; u = p + 3; p = i + 4; t = f + 6; l = x + 3; f = 17; j = l + 16; b = d + 17; i = b + 15; d = t + 13; x = o + 19; o = s + 11; s = f + 16. If f = 17, what is the resulting value of c?",
"role": "us... | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 16 to c, which gives c = l + 30.\n2. Substitute l = x + 3 to c, which gives c = x + 33.\n3. Substitute x = o + 19 to c, which gives c = o + 52.\n4. Substitute o = s + 11 to c, which gives c = s + 63.\n5. Substitute s = f + 16 to c, which gives c = f + 79.\n6. Substitute f = 17 to c, which gives c = 96.\n\nThus, the final answer is c = \\boxed{96}.",
"index": 25053,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = j + 14; u = p + 3; p = i + 4; t = f + 6; l = x + 3; f = 17; j = l + 16; b = d + 17; i = b + 15; d = t + 13; x = o + 19; o = s + 11; s = f + 16. If f = 17, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 8", "g": "j + 9", "h": "g + 18", "z": "h + 20", "m": "z + 8", "l": "m + 16", "u": "p + 2", "o": "u + 15", "k": "o + 17", "x": "k + 4", "f": "x + 3", "c": "f + 18", "p": 15}, "premises": {"p": 15}, "target": "l"}, "answer": {"steps": [["m", "z + 8", "z + 24"], ["z", "h + 20", "h + 44"], ["h", "g + 18", "g + 62"], ["g", "j + 9", "j + 71"], ["j", "p + 8", "p + 79"], ["p", 15, "94"]], "target_var_name": "l", "target_value": 94, "value_dict": {"p": 15}, "is_reverse": true}} | 25,054 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = x + 3; h = g + 18; x = k + 4; l = m + 16; z = h + 20; o = u + 15; p = 15; u = p + 2; k = o + 17; c = f + 18; j = p + 8; g = j + 9; m = z + 8. If p = 15, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 8 to l, which gives l = z + 24.\n2. Substitute z = h + 20 to l, which gives l = h + 44.\n3. Substitute h = g + 18 to l, which gives l = g + 62.\n4. Substitute g = j + 9 to l, which gives l = j + 71.\n5. Substitute j = p + 8 to l, which gives l = p + 79.\n6. Substitute p = 15 to l, which gives l = 94.\n\nThus, the final answer is l = \\boxed{94}.",
"index": 25054,
"question": "Consider a system of variables where each variable is defined as follows: f = x + 3; h = g + 18; x = k + 4; l = m + 16; z = h + 20; o = u + 15; p = 15; u = p + 2; k = o + 17; c = f + 18; j = p + 8; g = j + 9; m = z + 8. If p = 15, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"m": "y + 17", "i": "m + 17", "c": "i + 1", "f": "c + 8", "p": "f + 3", "q": "p + 15", "k": "y + 3", "h": "k + 6", "n": "h + 10", "g": "n + 17", "l": "g + 20", "v": "l + 4", "y": 11}, "premises": {"y": 11}, "target": "q"}, "answer": {"steps": [["p", "f + 3", "f + 18"], ["f", "c + 8", "c + 26"], ["c", "i + 1", "i + 27"], ["i", "m + 17", "m + 44"], ["m", "y + 17", "y + 61"], ["y", 11, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"y": 11}, "is_reverse": true}} | 25,055 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = f + 3; n = h + 10; q = p + 15; g = n + 17; k = y + 3; i = m + 17; v = l + 4; y = 11; m = y + 17; h = k + 6; c = i + 1; l = g + 20; f = c + 8. Given that y = 11, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 3 to q, which gives q = f + 18.\n2. Substitute f = c + 8 to q, which gives q = c + 26.\n3. Substitute c = i + 1 to q, which gives q = i + 27.\n4. Substitute i = m + 17 to q, which gives q = m + 44.\n5. Substitute m = y + 17 to q, which gives q = y + 61.\n6. Substitute y = 11 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 25055,
"question": "Suppose a collection of variables is related by the following definitions: p = f + 3; n = h + 10; q = p + 15; g = n + 17; k = y + 3; i = m + 17; v = l + 4; y = 11; m = y + 17; h = k + 6; c = i + 1; l = g + 20; f = c + 8. Given that y = 11, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 7", "c": "r + 15", "z": "c + 18", "q": "z + 8", "e": "q + 13", "w": "e + 14", "s": "v + 10", "d": "s + 3", "y": "d + 8", "b": "y + 20", "p": "b + 1", "t": "p + 18", "v": 9}, "premises": {"v": 9}, "target": "w"}, "answer": {"steps": [["e", "q + 13", "q + 27"], ["q", "z + 8", "z + 35"], ["z", "c + 18", "c + 53"], ["c", "r + 15", "r + 68"], ["r", "v + 7", "v + 75"], ["v", 9, "84"]], "target_var_name": "w", "target_value": 84, "value_dict": {"v": 9}, "is_reverse": true}} | 25,056 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = s + 3; t = p + 18; e = q + 13; y = d + 8; b = y + 20; c = r + 15; r = v + 7; p = b + 1; z = c + 18; s = v + 10; w = e + 14; v = 9; q = z + 8. If v = 9, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 13 to w, which gives w = q + 27.\n2. Substitute q = z + 8 to w, which gives w = z + 35.\n3. Substitute z = c + 18 to w, which gives w = c + 53.\n4. Substitute c = r + 15 to w, which gives w = r + 68.\n5. Substitute r = v + 7 to w, which gives w = v + 75.\n6. Substitute v = 9 to w, which gives w = 84.\n\nThus, the final answer is w = \\boxed{84}.",
"index": 25056,
"question": "Consider a system of variables where each variable is defined as follows: d = s + 3; t = p + 18; e = q + 13; y = d + 8; b = y + 20; c = r + 15; r = v + 7; p = b + 1; z = c + 18; s = v + 10; w = e + 14; v = 9; q = z + 8. If v = 9, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"x": "z + 13", "h": "x + 8", "t": "h + 5", "p": "t + 3", "b": "p + 19", "w": "b + 3", "a": "z + 9", "i": "a + 5", "v": "i + 2", "e": "v + 3", "g": "e + 12", "d": "g + 10", "z": 1}, "premises": {"z": 1}, "target": "w"}, "answer": {"steps": [["b", "p + 19", "p + 22"], ["p", "t + 3", "t + 25"], ["t", "h + 5", "h + 30"], ["h", "x + 8", "x + 38"], ["x", "z + 13", "z + 51"], ["z", 1, "52"]], "target_var_name": "w", "target_value": 52, "value_dict": {"z": 1}, "is_reverse": true}} | 25,057 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = a + 5; x = z + 13; p = t + 3; v = i + 2; e = v + 3; d = g + 10; z = 1; w = b + 3; b = p + 19; g = e + 12; h = x + 8; t = h + 5; a = z + 9. If z = 1, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 19 to w, which gives w = p + 22.\n2. Substitute p = t + 3 to w, which gives w = t + 25.\n3. Substitute t = h + 5 to w, which gives w = h + 30.\n4. Substitute h = x + 8 to w, which gives w = x + 38.\n5. Substitute x = z + 13 to w, which gives w = z + 51.\n6. Substitute z = 1 to w, which gives w = 52.\n\nThus, the final answer is w = \\boxed{52}.",
"index": 25057,
"question": "Consider a system of variables where each variable is defined as follows: i = a + 5; x = z + 13; p = t + 3; v = i + 2; e = v + 3; d = g + 10; z = 1; w = b + 3; b = p + 19; g = e + 12; h = x + 8; t = h + 5; a = z + 9. If z = 1, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 18", "g": "p + 18", "o": "g + 17", "y": "o + 2", "i": "y + 18", "k": "i + 15", "c": "e + 18", "s": "c + 17", "f": "s + 7", "q": "f + 1", "t": "q + 7", "n": "t + 15", "e": 9}, "premises": {"e": 9}, "target": "k"}, "answer": {"steps": [["i", "y + 18", "y + 33"], ["y", "o + 2", "o + 35"], ["o", "g + 17", "g + 52"], ["g", "p + 18", "p + 70"], ["p", "e + 18", "e + 88"], ["e", 9, "97"]], "target_var_name": "k", "target_value": 97, "value_dict": {"e": 9}, "is_reverse": true}} | 25,058 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = y + 18; c = e + 18; y = o + 2; q = f + 1; o = g + 17; n = t + 15; t = q + 7; s = c + 17; e = 9; k = i + 15; f = s + 7; p = e + 18; g = p + 18. If e = 9, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 18 to k, which gives k = y + 33.\n2. Substitute y = o + 2 to k, which gives k = o + 35.\n3. Substitute o = g + 17 to k, which gives k = g + 52.\n4. Substitute g = p + 18 to k, which gives k = p + 70.\n5. Substitute p = e + 18 to k, which gives k = e + 88.\n6. Substitute e = 9 to k, which gives k = 97.\n\nThus, the final answer is k = \\boxed{97}.",
"index": 25058,
"question": "Consider a system of variables where each variable is defined as follows: i = y + 18; c = e + 18; y = o + 2; q = f + 1; o = g + 17; n = t + 15; t = q + 7; s = c + 17; e = 9; k = i + 15; f = s + 7; p = e + 18; g = p + 18. If e = 9, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 19", "z": "p + 15", "u": "z + 5", "o": "u + 6", "i": "o + 9", "w": "i + 4", "a": "s + 19", "e": "a + 15", "b": "e + 9", "m": "b + 10", "c": "m + 9", "j": "c + 12", "s": 10}, "premises": {"s": 10}, "target": "w"}, "answer": {"steps": [["i", "o + 9", "o + 13"], ["o", "u + 6", "u + 19"], ["u", "z + 5", "z + 24"], ["z", "p + 15", "p + 39"], ["p", "s + 19", "s + 58"], ["s", 10, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"s": 10}, "is_reverse": true}} | 25,059 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = s + 19; i = o + 9; c = m + 9; b = e + 9; j = c + 12; a = s + 19; u = z + 5; w = i + 4; e = a + 15; s = 10; m = b + 10; o = u + 6; z = p + 15. If s = 10, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 9 to w, which gives w = o + 13.\n2. Substitute o = u + 6 to w, which gives w = u + 19.\n3. Substitute u = z + 5 to w, which gives w = z + 24.\n4. Substitute z = p + 15 to w, which gives w = p + 39.\n5. Substitute p = s + 19 to w, which gives w = s + 58.\n6. Substitute s = 10 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 25059,
"question": "Consider a system of variables where each variable is defined as follows: p = s + 19; i = o + 9; c = m + 9; b = e + 9; j = c + 12; a = s + 19; u = z + 5; w = i + 4; e = a + 15; s = 10; m = b + 10; o = u + 6; z = p + 15. If s = 10, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 12", "h": "r + 20", "w": "h + 15", "f": "w + 6", "u": "f + 1", "y": "u + 14", "t": "i + 16", "m": "t + 7", "p": "m + 8", "o": "p + 15", "a": "o + 15", "j": "a + 20", "i": 18}, "premises": {"i": 18}, "target": "y"}, "answer": {"steps": [["u", "f + 1", "f + 15"], ["f", "w + 6", "w + 21"], ["w", "h + 15", "h + 36"], ["h", "r + 20", "r + 56"], ["r", "i + 12", "i + 68"], ["i", 18, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"i": 18}, "is_reverse": true}} | 25,060 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = t + 7; u = f + 1; f = w + 6; p = m + 8; t = i + 16; w = h + 15; h = r + 20; i = 18; o = p + 15; j = a + 20; y = u + 14; a = o + 15; r = i + 12. Given that i = 18, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = f + 1 to y, which gives y = f + 15.\n2. Substitute f = w + 6 to y, which gives y = w + 21.\n3. Substitute w = h + 15 to y, which gives y = h + 36.\n4. Substitute h = r + 20 to y, which gives y = r + 56.\n5. Substitute r = i + 12 to y, which gives y = i + 68.\n6. Substitute i = 18 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 25060,
"question": "Suppose a collection of variables is related by the following definitions: m = t + 7; u = f + 1; f = w + 6; p = m + 8; t = i + 16; w = h + 15; h = r + 20; i = 18; o = p + 15; j = a + 20; y = u + 14; a = o + 15; r = i + 12. Given that i = 18, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 6", "l": "e + 7", "o": "l + 19", "n": "o + 7", "s": "n + 16", "f": "s + 3", "h": "p + 2", "v": "h + 8", "m": "v + 4", "w": "m + 5", "j": "w + 7", "x": "j + 5", "p": 18}, "premises": {"p": 18}, "target": "f"}, "answer": {"steps": [["s", "n + 16", "n + 19"], ["n", "o + 7", "o + 26"], ["o", "l + 19", "l + 45"], ["l", "e + 7", "e + 52"], ["e", "p + 6", "p + 58"], ["p", 18, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"p": 18}, "is_reverse": true}} | 25,061 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = h + 8; l = e + 7; j = w + 7; o = l + 19; x = j + 5; f = s + 3; e = p + 6; n = o + 7; h = p + 2; m = v + 4; s = n + 16; w = m + 5; p = 18. If p = 18, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = n + 16 to f, which gives f = n + 19.\n2. Substitute n = o + 7 to f, which gives f = o + 26.\n3. Substitute o = l + 19 to f, which gives f = l + 45.\n4. Substitute l = e + 7 to f, which gives f = e + 52.\n5. Substitute e = p + 6 to f, which gives f = p + 58.\n6. Substitute p = 18 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 25061,
"question": "Consider a system of variables where each variable is defined as follows: v = h + 8; l = e + 7; j = w + 7; o = l + 19; x = j + 5; f = s + 3; e = p + 6; n = o + 7; h = p + 2; m = v + 4; s = n + 16; w = m + 5; p = 18. If p = 18, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 7", "w": "s + 14", "l": "w + 2", "q": "l + 5", "z": "q + 7", "e": "z + 6", "c": "x + 13", "r": "c + 11", "o": "r + 20", "p": "o + 19", "d": "p + 3", "y": "d + 18", "x": 18}, "premises": {"x": 18}, "target": "e"}, "answer": {"steps": [["z", "q + 7", "q + 13"], ["q", "l + 5", "l + 18"], ["l", "w + 2", "w + 20"], ["w", "s + 14", "s + 34"], ["s", "x + 7", "x + 41"], ["x", 18, "59"]], "target_var_name": "e", "target_value": 59, "value_dict": {"x": 18}, "is_reverse": true}} | 25,062 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = c + 11; q = l + 5; s = x + 7; l = w + 2; d = p + 3; c = x + 13; z = q + 7; o = r + 20; x = 18; w = s + 14; e = z + 6; y = d + 18; p = o + 19. Given that x = 18, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 7 to e, which gives e = q + 13.\n2. Substitute q = l + 5 to e, which gives e = l + 18.\n3. Substitute l = w + 2 to e, which gives e = w + 20.\n4. Substitute w = s + 14 to e, which gives e = s + 34.\n5. Substitute s = x + 7 to e, which gives e = x + 41.\n6. Substitute x = 18 to e, which gives e = 59.\n\nThus, the final answer is e = \\boxed{59}.",
"index": 25062,
"question": "Suppose a collection of variables is related by the following definitions: r = c + 11; q = l + 5; s = x + 7; l = w + 2; d = p + 3; c = x + 13; z = q + 7; o = r + 20; x = 18; w = s + 14; e = z + 6; y = d + 18; p = o + 19. Given that x = 18, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 12", "a": "f + 14", "z": "a + 20", "d": "z + 15", "v": "d + 7", "h": "v + 7", "e": "n + 13", "r": "e + 4", "j": "r + 1", "m": "j + 12", "k": "m + 18", "i": "k + 14", "n": 4}, "premises": {"n": 4}, "target": "h"}, "answer": {"steps": [["v", "d + 7", "d + 14"], ["d", "z + 15", "z + 29"], ["z", "a + 20", "a + 49"], ["a", "f + 14", "f + 63"], ["f", "n + 12", "n + 75"], ["n", 4, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"n": 4}, "is_reverse": true}} | 25,063 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = z + 15; j = r + 1; n = 4; m = j + 12; f = n + 12; z = a + 20; k = m + 18; v = d + 7; r = e + 4; e = n + 13; a = f + 14; h = v + 7; i = k + 14. If n = 4, what is the resulting value of h?",
"role": "user... | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 7 to h, which gives h = d + 14.\n2. Substitute d = z + 15 to h, which gives h = z + 29.\n3. Substitute z = a + 20 to h, which gives h = a + 49.\n4. Substitute a = f + 14 to h, which gives h = f + 63.\n5. Substitute f = n + 12 to h, which gives h = n + 75.\n6. Substitute n = 4 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 25063,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = z + 15; j = r + 1; n = 4; m = j + 12; f = n + 12; z = a + 20; k = m + 18; v = d + 7; r = e + 4; e = n + 13; a = f + 14; h = v + 7; i = k + 14. If n = 4, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"j": "z + 10", "g": "j + 12", "c": "g + 17", "a": "c + 17", "y": "a + 7", "p": "y + 7", "h": "z + 15", "u": "h + 20", "i": "u + 18", "k": "i + 4", "m": "k + 9", "t": "m + 6", "z": 7}, "premises": {"z": 7}, "target": "p"}, "answer": {"steps": [["y", "a + 7", "a + 14"], ["a", "c + 17", "c + 31"], ["c", "g + 17", "g + 48"], ["g", "j + 12", "j + 60"], ["j", "z + 10", "z + 70"], ["z", 7, "77"]], "target_var_name": "p", "target_value": 77, "value_dict": {"z": 7}, "is_reverse": true}} | 25,064 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = y + 7; z = 7; a = c + 17; h = z + 15; c = g + 17; u = h + 20; t = m + 6; g = j + 12; k = i + 4; i = u + 18; y = a + 7; j = z + 10; m = k + 9. Given that z = 7, 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 = a + 7 to p, which gives p = a + 14.\n2. Substitute a = c + 17 to p, which gives p = c + 31.\n3. Substitute c = g + 17 to p, which gives p = g + 48.\n4. Substitute g = j + 12 to p, which gives p = j + 60.\n5. Substitute j = z + 10 to p, which gives p = z + 70.\n6. Substitute z = 7 to p, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 25064,
"question": "Suppose a collection of variables is related by the following definitions: p = y + 7; z = 7; a = c + 17; h = z + 15; c = g + 17; u = h + 20; t = m + 6; g = j + 12; k = i + 4; i = u + 18; y = a + 7; j = z + 10; m = k + 9. Given that z = 7, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 9", "s": "w + 14", "c": "s + 19", "o": "c + 13", "d": "o + 11", "i": "d + 15", "e": "n + 16", "k": "e + 1", "y": "k + 5", "f": "y + 4", "p": "f + 11", "h": "p + 15", "n": 2}, "premises": {"n": 2}, "target": "i"}, "answer": {"steps": [["d", "o + 11", "o + 26"], ["o", "c + 13", "c + 39"], ["c", "s + 19", "s + 58"], ["s", "w + 14", "w + 72"], ["w", "n + 9", "n + 81"], ["n", 2, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"n": 2}, "is_reverse": true}} | 25,065 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = f + 11; c = s + 19; e = n + 16; n = 2; f = y + 4; w = n + 9; k = e + 1; y = k + 5; h = p + 15; d = o + 11; s = w + 14; i = d + 15; o = c + 13. Given that n = 2, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 11 to i, which gives i = o + 26.\n2. Substitute o = c + 13 to i, which gives i = c + 39.\n3. Substitute c = s + 19 to i, which gives i = s + 58.\n4. Substitute s = w + 14 to i, which gives i = w + 72.\n5. Substitute w = n + 9 to i, which gives i = n + 81.\n6. Substitute n = 2 to i, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 25065,
"question": "Suppose a collection of variables is related by the following definitions: p = f + 11; c = s + 19; e = n + 16; n = 2; f = y + 4; w = n + 9; k = e + 1; y = k + 5; h = p + 15; d = o + 11; s = w + 14; i = d + 15; o = c + 13. Given that n = 2, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 8", "j": "c + 7", "g": "j + 17", "s": "g + 18", "h": "s + 16", "k": "h + 2", "n": "y + 3", "m": "n + 13", "l": "m + 9", "o": "l + 13", "b": "o + 16", "a": "b + 5", "y": 17}, "premises": {"y": 17}, "target": "k"}, "answer": {"steps": [["h", "s + 16", "s + 18"], ["s", "g + 18", "g + 36"], ["g", "j + 17", "j + 53"], ["j", "c + 7", "c + 60"], ["c", "y + 8", "y + 68"], ["y", 17, "85"]], "target_var_name": "k", "target_value": 85, "value_dict": {"y": 17}, "is_reverse": true}} | 25,066 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = b + 5; s = g + 18; g = j + 17; h = s + 16; n = y + 3; y = 17; b = o + 16; l = m + 9; c = y + 8; m = n + 13; j = c + 7; o = l + 13; k = h + 2. If y = 17, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 16 to k, which gives k = s + 18.\n2. Substitute s = g + 18 to k, which gives k = g + 36.\n3. Substitute g = j + 17 to k, which gives k = j + 53.\n4. Substitute j = c + 7 to k, which gives k = c + 60.\n5. Substitute c = y + 8 to k, which gives k = y + 68.\n6. Substitute y = 17 to k, which gives k = 85.\n\nThus, the final answer is k = \\boxed{85}.",
"index": 25066,
"question": "Consider a system of variables where each variable is defined as follows: a = b + 5; s = g + 18; g = j + 17; h = s + 16; n = y + 3; y = 17; b = o + 16; l = m + 9; c = y + 8; m = n + 13; j = c + 7; o = l + 13; k = h + 2. If y = 17, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 10", "y": "e + 11", "l": "y + 8", "t": "l + 16", "u": "t + 13", "n": "u + 4", "p": "i + 11", "w": "p + 13", "d": "w + 1", "x": "d + 17", "z": "x + 6", "j": "z + 19", "i": 14}, "premises": {"i": 14}, "target": "n"}, "answer": {"steps": [["u", "t + 13", "t + 17"], ["t", "l + 16", "l + 33"], ["l", "y + 8", "y + 41"], ["y", "e + 11", "e + 52"], ["e", "i + 10", "i + 62"], ["i", 14, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"i": 14}, "is_reverse": true}} | 25,067 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = i + 11; w = p + 13; l = y + 8; t = l + 16; j = z + 19; u = t + 13; z = x + 6; x = d + 17; n = u + 4; e = i + 10; y = e + 11; i = 14; d = w + 1. Given that i = 14, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 13 to n, which gives n = t + 17.\n2. Substitute t = l + 16 to n, which gives n = l + 33.\n3. Substitute l = y + 8 to n, which gives n = y + 41.\n4. Substitute y = e + 11 to n, which gives n = e + 52.\n5. Substitute e = i + 10 to n, which gives n = i + 62.\n6. Substitute i = 14 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 25067,
"question": "Suppose a collection of variables is related by the following definitions: p = i + 11; w = p + 13; l = y + 8; t = l + 16; j = z + 19; u = t + 13; z = x + 6; x = d + 17; n = u + 4; e = i + 10; y = e + 11; i = 14; d = w + 1. Given that i = 14, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 16", "w": "d + 15", "k": "w + 15", "v": "k + 11", "p": "v + 11", "a": "p + 6", "m": "h + 9", "u": "m + 14", "z": "u + 9", "t": "z + 14", "x": "t + 13", "c": "x + 1", "h": 1}, "premises": {"h": 1}, "target": "a"}, "answer": {"steps": [["p", "v + 11", "v + 17"], ["v", "k + 11", "k + 28"], ["k", "w + 15", "w + 43"], ["w", "d + 15", "d + 58"], ["d", "h + 16", "h + 74"], ["h", 1, "75"]], "target_var_name": "a", "target_value": 75, "value_dict": {"h": 1}, "is_reverse": true}} | 25,068 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = 1; v = k + 11; w = d + 15; c = x + 1; z = u + 9; m = h + 9; d = h + 16; p = v + 11; u = m + 14; t = z + 14; k = w + 15; a = p + 6; x = t + 13. If h = 1, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 11 to a, which gives a = v + 17.\n2. Substitute v = k + 11 to a, which gives a = k + 28.\n3. Substitute k = w + 15 to a, which gives a = w + 43.\n4. Substitute w = d + 15 to a, which gives a = d + 58.\n5. Substitute d = h + 16 to a, which gives a = h + 74.\n6. Substitute h = 1 to a, which gives a = 75.\n\nThus, the final answer is a = \\boxed{75}.",
"index": 25068,
"question": "Consider a system of variables where each variable is defined as follows: h = 1; v = k + 11; w = d + 15; c = x + 1; z = u + 9; m = h + 9; d = h + 16; p = v + 11; u = m + 14; t = z + 14; k = w + 15; a = p + 6; x = t + 13. If h = 1, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 9", "f": "s + 2", "r": "f + 5", "u": "r + 7", "k": "u + 7", "q": "k + 6", "h": "x + 12", "l": "h + 5", "t": "l + 19", "d": "t + 13", "z": "d + 9", "y": "z + 17", "x": 17}, "premises": {"x": 17}, "target": "q"}, "answer": {"steps": [["k", "u + 7", "u + 13"], ["u", "r + 7", "r + 20"], ["r", "f + 5", "f + 25"], ["f", "s + 2", "s + 27"], ["s", "x + 9", "x + 36"], ["x", 17, "53"]], "target_var_name": "q", "target_value": 53, "value_dict": {"x": 17}, "is_reverse": true}} | 25,069 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = z + 17; s = x + 9; l = h + 5; z = d + 9; h = x + 12; u = r + 7; x = 17; r = f + 5; q = k + 6; f = s + 2; t = l + 19; d = t + 13; k = u + 7. If x = 17, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 7 to q, which gives q = u + 13.\n2. Substitute u = r + 7 to q, which gives q = r + 20.\n3. Substitute r = f + 5 to q, which gives q = f + 25.\n4. Substitute f = s + 2 to q, which gives q = s + 27.\n5. Substitute s = x + 9 to q, which gives q = x + 36.\n6. Substitute x = 17 to q, which gives q = 53.\n\nThus, the final answer is q = \\boxed{53}.",
"index": 25069,
"question": "Consider a system of variables where each variable is defined as follows: y = z + 17; s = x + 9; l = h + 5; z = d + 9; h = x + 12; u = r + 7; x = 17; r = f + 5; q = k + 6; f = s + 2; t = l + 19; d = t + 13; k = u + 7. If x = 17, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 8", "d": "n + 5", "z": "d + 13", "c": "z + 19", "v": "c + 16", "j": "v + 14", "x": "g + 19", "m": "x + 2", "h": "m + 12", "q": "h + 6", "i": "q + 8", "r": "i + 9", "g": 9}, "premises": {"g": 9}, "target": "j"}, "answer": {"steps": [["v", "c + 16", "c + 30"], ["c", "z + 19", "z + 49"], ["z", "d + 13", "d + 62"], ["d", "n + 5", "n + 67"], ["n", "g + 8", "g + 75"], ["g", 9, "84"]], "target_var_name": "j", "target_value": 84, "value_dict": {"g": 9}, "is_reverse": true}} | 25,070 | 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 = 9; h = m + 12; v = c + 16; m = x + 2; i = q + 8; n = g + 8; r = i + 9; d = n + 5; q = h + 6; j = v + 14; z = d + 13; c = z + 19; x = g + 19. If g = 9, what is the resulting value of j?",
"role": "user"
... | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 16 to j, which gives j = c + 30.\n2. Substitute c = z + 19 to j, which gives j = z + 49.\n3. Substitute z = d + 13 to j, which gives j = d + 62.\n4. Substitute d = n + 5 to j, which gives j = n + 67.\n5. Substitute n = g + 8 to j, which gives j = g + 75.\n6. Substitute g = 9 to j, which gives j = 84.\n\nThus, the final answer is j = \\boxed{84}.",
"index": 25070,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 9; h = m + 12; v = c + 16; m = x + 2; i = q + 8; n = g + 8; r = i + 9; d = n + 5; q = h + 6; j = v + 14; z = d + 13; c = z + 19; x = g + 19. If g = 9, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 9", "i": "w + 5", "u": "i + 17", "g": "u + 4", "p": "g + 3", "v": "p + 17", "l": "n + 13", "s": "l + 19", "t": "s + 16", "d": "t + 20", "e": "d + 12", "k": "e + 18", "n": 18}, "premises": {"n": 18}, "target": "v"}, "answer": {"steps": [["p", "g + 3", "g + 20"], ["g", "u + 4", "u + 24"], ["u", "i + 17", "i + 41"], ["i", "w + 5", "w + 46"], ["w", "n + 9", "n + 55"], ["n", 18, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"n": 18}, "is_reverse": true}} | 25,071 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = 18; v = p + 17; w = n + 9; t = s + 16; u = i + 17; s = l + 19; p = g + 3; g = u + 4; d = t + 20; k = e + 18; i = w + 5; e = d + 12; l = n + 13. Given that n = 18, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 3 to v, which gives v = g + 20.\n2. Substitute g = u + 4 to v, which gives v = u + 24.\n3. Substitute u = i + 17 to v, which gives v = i + 41.\n4. Substitute i = w + 5 to v, which gives v = w + 46.\n5. Substitute w = n + 9 to v, which gives v = n + 55.\n6. Substitute n = 18 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 25071,
"question": "Suppose a collection of variables is related by the following definitions: n = 18; v = p + 17; w = n + 9; t = s + 16; u = i + 17; s = l + 19; p = g + 3; g = u + 4; d = t + 20; k = e + 18; i = w + 5; e = d + 12; l = n + 13. Given that n = 18, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 13", "h": "v + 16", "a": "h + 14", "u": "a + 10", "z": "u + 20", "o": "z + 8", "y": "w + 19", "q": "y + 8", "e": "q + 10", "m": "e + 1", "r": "m + 18", "i": "r + 20", "w": 20}, "premises": {"w": 20}, "target": "o"}, "answer": {"steps": [["z", "u + 20", "u + 28"], ["u", "a + 10", "a + 38"], ["a", "h + 14", "h + 52"], ["h", "v + 16", "v + 68"], ["v", "w + 13", "w + 81"], ["w", 20, "101"]], "target_var_name": "o", "target_value": 101, "value_dict": {"w": 20}, "is_reverse": true}} | 25,072 | 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 = q + 10; q = y + 8; w = 20; y = w + 19; o = z + 8; a = h + 14; m = e + 1; z = u + 20; v = w + 13; r = m + 18; h = v + 16; i = r + 20; u = a + 10. If w = 20, what is the resulting value of o?",
"role": "u... | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 20 to o, which gives o = u + 28.\n2. Substitute u = a + 10 to o, which gives o = a + 38.\n3. Substitute a = h + 14 to o, which gives o = h + 52.\n4. Substitute h = v + 16 to o, which gives o = v + 68.\n5. Substitute v = w + 13 to o, which gives o = w + 81.\n6. Substitute w = 20 to o, which gives o = 101.\n\nThus, the final answer is o = \\boxed{101}.",
"index": 25072,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = q + 10; q = y + 8; w = 20; y = w + 19; o = z + 8; a = h + 14; m = e + 1; z = u + 20; v = w + 13; r = m + 18; h = v + 16; i = r + 20; u = a + 10. If w = 20, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 5", "a": "x + 1", "c": "a + 5", "n": "c + 1", "z": "n + 19", "k": "z + 14", "y": "i + 11", "f": "y + 16", "h": "f + 11", "s": "h + 8", "l": "s + 17", "e": "l + 2", "i": 16}, "premises": {"i": 16}, "target": "k"}, "answer": {"steps": [["z", "n + 19", "n + 33"], ["n", "c + 1", "c + 34"], ["c", "a + 5", "a + 39"], ["a", "x + 1", "x + 40"], ["x", "i + 5", "i + 45"], ["i", 16, "61"]], "target_var_name": "k", "target_value": 61, "value_dict": {"i": 16}, "is_reverse": true}} | 25,073 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = f + 11; i = 16; a = x + 1; z = n + 19; l = s + 17; n = c + 1; c = a + 5; s = h + 8; f = y + 16; e = l + 2; x = i + 5; k = z + 14; y = i + 11. If i = 16, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 19 to k, which gives k = n + 33.\n2. Substitute n = c + 1 to k, which gives k = c + 34.\n3. Substitute c = a + 5 to k, which gives k = a + 39.\n4. Substitute a = x + 1 to k, which gives k = x + 40.\n5. Substitute x = i + 5 to k, which gives k = i + 45.\n6. Substitute i = 16 to k, which gives k = 61.\n\nThus, the final answer is k = \\boxed{61}.",
"index": 25073,
"question": "Consider a system of variables where each variable is defined as follows: h = f + 11; i = 16; a = x + 1; z = n + 19; l = s + 17; n = c + 1; c = a + 5; s = h + 8; f = y + 16; e = l + 2; x = i + 5; k = z + 14; y = i + 11. If i = 16, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"e": "h + 10", "a": "e + 10", "f": "a + 10", "q": "f + 15", "z": "q + 6", "x": "z + 10", "r": "h + 11", "k": "r + 16", "n": "k + 15", "w": "n + 6", "s": "w + 18", "p": "s + 2", "h": 4}, "premises": {"h": 4}, "target": "x"}, "answer": {"steps": [["z", "q + 6", "q + 16"], ["q", "f + 15", "f + 31"], ["f", "a + 10", "a + 41"], ["a", "e + 10", "e + 51"], ["e", "h + 10", "h + 61"], ["h", 4, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"h": 4}, "is_reverse": true}} | 25,074 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = h + 11; k = r + 16; h = 4; f = a + 10; e = h + 10; a = e + 10; z = q + 6; x = z + 10; p = s + 2; s = w + 18; q = f + 15; n = k + 15; w = n + 6. If h = 4, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 6 to x, which gives x = q + 16.\n2. Substitute q = f + 15 to x, which gives x = f + 31.\n3. Substitute f = a + 10 to x, which gives x = a + 41.\n4. Substitute a = e + 10 to x, which gives x = e + 51.\n5. Substitute e = h + 10 to x, which gives x = h + 61.\n6. Substitute h = 4 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 25074,
"question": "Consider a system of variables where each variable is defined as follows: r = h + 11; k = r + 16; h = 4; f = a + 10; e = h + 10; a = e + 10; z = q + 6; x = z + 10; p = s + 2; s = w + 18; q = f + 15; n = k + 15; w = n + 6. If h = 4, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 13", "v": "m + 11", "j": "v + 15", "t": "j + 3", "a": "t + 5", "i": "a + 14", "y": "l + 3", "s": "y + 12", "b": "s + 19", "z": "b + 17", "p": "z + 7", "f": "p + 4", "l": 5}, "premises": {"l": 5}, "target": "i"}, "answer": {"steps": [["a", "t + 5", "t + 19"], ["t", "j + 3", "j + 22"], ["j", "v + 15", "v + 37"], ["v", "m + 11", "m + 48"], ["m", "l + 13", "l + 61"], ["l", 5, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"l": 5}, "is_reverse": true}} | 25,075 | 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 = b + 17; j = v + 15; s = y + 12; a = t + 5; i = a + 14; p = z + 7; v = m + 11; l = 5; y = l + 3; t = j + 3; b = s + 19; f = p + 4; m = l + 13. If l = 5, what is the resulting value of i?",
"role": "user"... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 5 to i, which gives i = t + 19.\n2. Substitute t = j + 3 to i, which gives i = j + 22.\n3. Substitute j = v + 15 to i, which gives i = v + 37.\n4. Substitute v = m + 11 to i, which gives i = m + 48.\n5. Substitute m = l + 13 to i, which gives i = l + 61.\n6. Substitute l = 5 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 25075,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = b + 17; j = v + 15; s = y + 12; a = t + 5; i = a + 14; p = z + 7; v = m + 11; l = 5; y = l + 3; t = j + 3; b = s + 19; f = p + 4; m = l + 13. If l = 5, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 16", "t": "k + 17", "p": "t + 11", "w": "p + 4", "a": "w + 15", "z": "a + 19", "f": "o + 4", "d": "f + 4", "i": "d + 15", "g": "i + 9", "b": "g + 17", "q": "b + 4", "o": 2}, "premises": {"o": 2}, "target": "z"}, "answer": {"steps": [["a", "w + 15", "w + 34"], ["w", "p + 4", "p + 38"], ["p", "t + 11", "t + 49"], ["t", "k + 17", "k + 66"], ["k", "o + 16", "o + 82"], ["o", 2, "84"]], "target_var_name": "z", "target_value": 84, "value_dict": {"o": 2}, "is_reverse": true}} | 25,076 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 17; f = o + 4; z = a + 19; k = o + 16; i = d + 15; g = i + 9; a = w + 15; d = f + 4; o = 2; w = p + 4; q = b + 4; t = k + 17; p = t + 11. If o = 2, what is the resulting value of z?",
"role": "user"... | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 15 to z, which gives z = w + 34.\n2. Substitute w = p + 4 to z, which gives z = p + 38.\n3. Substitute p = t + 11 to z, which gives z = t + 49.\n4. Substitute t = k + 17 to z, which gives z = k + 66.\n5. Substitute k = o + 16 to z, which gives z = o + 82.\n6. Substitute o = 2 to z, which gives z = 84.\n\nThus, the final answer is z = \\boxed{84}.",
"index": 25076,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 17; f = o + 4; z = a + 19; k = o + 16; i = d + 15; g = i + 9; a = w + 15; d = f + 4; o = 2; w = p + 4; q = b + 4; t = k + 17; p = t + 11. If o = 2, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 7", "e": "i + 17", "b": "e + 14", "f": "b + 18", "a": "f + 3", "k": "a + 11", "c": "q + 1", "l": "c + 7", "n": "l + 19", "t": "n + 10", "s": "t + 19", "u": "s + 13", "q": 18}, "premises": {"q": 18}, "target": "k"}, "answer": {"steps": [["a", "f + 3", "f + 14"], ["f", "b + 18", "b + 32"], ["b", "e + 14", "e + 46"], ["e", "i + 17", "i + 63"], ["i", "q + 7", "q + 70"], ["q", 18, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"q": 18}, "is_reverse": true}} | 25,077 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = t + 19; f = b + 18; i = q + 7; l = c + 7; c = q + 1; a = f + 3; b = e + 14; k = a + 11; e = i + 17; n = l + 19; t = n + 10; q = 18; u = s + 13. If q = 18, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 3 to k, which gives k = f + 14.\n2. Substitute f = b + 18 to k, which gives k = b + 32.\n3. Substitute b = e + 14 to k, which gives k = e + 46.\n4. Substitute e = i + 17 to k, which gives k = i + 63.\n5. Substitute i = q + 7 to k, which gives k = q + 70.\n6. Substitute q = 18 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 25077,
"question": "Consider a system of variables where each variable is defined as follows: s = t + 19; f = b + 18; i = q + 7; l = c + 7; c = q + 1; a = f + 3; b = e + 14; k = a + 11; e = i + 17; n = l + 19; t = n + 10; q = 18; u = s + 13. If q = 18, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 16", "g": "n + 12", "u": "g + 13", "x": "u + 10", "h": "x + 8", "q": "h + 9", "b": "r + 12", "s": "b + 10", "i": "s + 6", "j": "i + 5", "z": "j + 17", "o": "z + 15", "r": 8}, "premises": {"r": 8}, "target": "q"}, "answer": {"steps": [["h", "x + 8", "x + 17"], ["x", "u + 10", "u + 27"], ["u", "g + 13", "g + 40"], ["g", "n + 12", "n + 52"], ["n", "r + 16", "r + 68"], ["r", 8, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"r": 8}, "is_reverse": true}} | 25,078 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = j + 17; x = u + 10; g = n + 12; b = r + 12; o = z + 15; s = b + 10; i = s + 6; n = r + 16; r = 8; q = h + 9; u = g + 13; j = i + 5; h = x + 8. Given that r = 8, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 8 to q, which gives q = x + 17.\n2. Substitute x = u + 10 to q, which gives q = u + 27.\n3. Substitute u = g + 13 to q, which gives q = g + 40.\n4. Substitute g = n + 12 to q, which gives q = n + 52.\n5. Substitute n = r + 16 to q, which gives q = r + 68.\n6. Substitute r = 8 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 25078,
"question": "Suppose a collection of variables is related by the following definitions: z = j + 17; x = u + 10; g = n + 12; b = r + 12; o = z + 15; s = b + 10; i = s + 6; n = r + 16; r = 8; q = h + 9; u = g + 13; j = i + 5; h = x + 8. Given that r = 8, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"q": "v + 20", "f": "q + 7", "l": "f + 19", "d": "l + 1", "s": "d + 12", "k": "s + 6", "i": "v + 2", "h": "i + 15", "p": "h + 10", "t": "p + 14", "g": "t + 17", "a": "g + 3", "v": 9}, "premises": {"v": 9}, "target": "k"}, "answer": {"steps": [["s", "d + 12", "d + 18"], ["d", "l + 1", "l + 19"], ["l", "f + 19", "f + 38"], ["f", "q + 7", "q + 45"], ["q", "v + 20", "v + 65"], ["v", 9, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"v": 9}, "is_reverse": true}} | 25,079 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = s + 6; l = f + 19; h = i + 15; i = v + 2; v = 9; t = p + 14; f = q + 7; a = g + 3; q = v + 20; p = h + 10; d = l + 1; g = t + 17; s = d + 12. If v = 9, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 12 to k, which gives k = d + 18.\n2. Substitute d = l + 1 to k, which gives k = l + 19.\n3. Substitute l = f + 19 to k, which gives k = f + 38.\n4. Substitute f = q + 7 to k, which gives k = q + 45.\n5. Substitute q = v + 20 to k, which gives k = v + 65.\n6. Substitute v = 9 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 25079,
"question": "Consider a system of variables where each variable is defined as follows: k = s + 6; l = f + 19; h = i + 15; i = v + 2; v = 9; t = p + 14; f = q + 7; a = g + 3; q = v + 20; p = h + 10; d = l + 1; g = t + 17; s = d + 12. If v = 9, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"j": "g + 13", "r": "j + 20", "h": "r + 5", "k": "h + 1", "c": "k + 5", "s": "c + 2", "v": "g + 3", "u": "v + 5", "m": "u + 20", "o": "m + 13", "z": "o + 2", "x": "z + 18", "g": 17}, "premises": {"g": 17}, "target": "s"}, "answer": {"steps": [["c", "k + 5", "k + 7"], ["k", "h + 1", "h + 8"], ["h", "r + 5", "r + 13"], ["r", "j + 20", "j + 33"], ["j", "g + 13", "g + 46"], ["g", 17, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"g": 17}, "is_reverse": true}} | 25,080 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = o + 2; s = c + 2; c = k + 5; x = z + 18; r = j + 20; k = h + 1; g = 17; v = g + 3; o = m + 13; h = r + 5; m = u + 20; j = g + 13; u = v + 5. If g = 17, what is the resulting value of s?",
"role": "user"... | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 5 to s, which gives s = k + 7.\n2. Substitute k = h + 1 to s, which gives s = h + 8.\n3. Substitute h = r + 5 to s, which gives s = r + 13.\n4. Substitute r = j + 20 to s, which gives s = j + 33.\n5. Substitute j = g + 13 to s, which gives s = g + 46.\n6. Substitute g = 17 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 25080,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = o + 2; s = c + 2; c = k + 5; x = z + 18; r = j + 20; k = h + 1; g = 17; v = g + 3; o = m + 13; h = r + 5; m = u + 20; j = g + 13; u = v + 5. If g = 17, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"m": "x + 8", "a": "m + 4", "w": "a + 19", "k": "w + 18", "i": "k + 16", "e": "i + 17", "z": "x + 15", "b": "z + 10", "f": "b + 17", "p": "f + 6", "h": "p + 19", "c": "h + 2", "x": 3}, "premises": {"x": 3}, "target": "e"}, "answer": {"steps": [["i", "k + 16", "k + 33"], ["k", "w + 18", "w + 51"], ["w", "a + 19", "a + 70"], ["a", "m + 4", "m + 74"], ["m", "x + 8", "x + 82"], ["x", 3, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"x": 3}, "is_reverse": true}} | 25,081 | 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 = x + 15; w = a + 19; x = 3; a = m + 4; b = z + 10; k = w + 18; m = x + 8; c = h + 2; e = i + 17; h = p + 19; p = f + 6; f = b + 17; i = k + 16. If x = 3, what is the resulting value of e?",
"role": "user... | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 16 to e, which gives e = k + 33.\n2. Substitute k = w + 18 to e, which gives e = w + 51.\n3. Substitute w = a + 19 to e, which gives e = a + 70.\n4. Substitute a = m + 4 to e, which gives e = m + 74.\n5. Substitute m = x + 8 to e, which gives e = x + 82.\n6. Substitute x = 3 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 25081,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = x + 15; w = a + 19; x = 3; a = m + 4; b = z + 10; k = w + 18; m = x + 8; c = h + 2; e = i + 17; h = p + 19; p = f + 6; f = b + 17; i = k + 16. If x = 3, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 17", "n": "j + 5", "d": "n + 3", "o": "d + 13", "r": "o + 7", "h": "r + 2", "f": "v + 19", "w": "f + 20", "c": "w + 6", "t": "c + 13", "s": "t + 5", "b": "s + 8", "v": 14}, "premises": {"v": 14}, "target": "h"}, "answer": {"steps": [["r", "o + 7", "o + 9"], ["o", "d + 13", "d + 22"], ["d", "n + 3", "n + 25"], ["n", "j + 5", "j + 30"], ["j", "v + 17", "v + 47"], ["v", 14, "61"]], "target_var_name": "h", "target_value": 61, "value_dict": {"v": 14}, "is_reverse": true}} | 25,082 | 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 = w + 6; f = v + 19; j = v + 17; s = t + 5; w = f + 20; b = s + 8; n = j + 5; r = o + 7; v = 14; o = d + 13; d = n + 3; h = r + 2; t = c + 13. If v = 14, what is the resulting value of h?",
"role": "user"... | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 7 to h, which gives h = o + 9.\n2. Substitute o = d + 13 to h, which gives h = d + 22.\n3. Substitute d = n + 3 to h, which gives h = n + 25.\n4. Substitute n = j + 5 to h, which gives h = j + 30.\n5. Substitute j = v + 17 to h, which gives h = v + 47.\n6. Substitute v = 14 to h, which gives h = 61.\n\nThus, the final answer is h = \\boxed{61}.",
"index": 25082,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = w + 6; f = v + 19; j = v + 17; s = t + 5; w = f + 20; b = s + 8; n = j + 5; r = o + 7; v = 14; o = d + 13; d = n + 3; h = r + 2; t = c + 13. If v = 14, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 10", "d": "n + 20", "q": "d + 18", "f": "q + 9", "k": "f + 4", "j": "k + 5", "u": "y + 5", "t": "u + 20", "x": "t + 16", "o": "x + 14", "r": "o + 3", "c": "r + 7", "y": 6}, "premises": {"y": 6}, "target": "j"}, "answer": {"steps": [["k", "f + 4", "f + 9"], ["f", "q + 9", "q + 18"], ["q", "d + 18", "d + 36"], ["d", "n + 20", "n + 56"], ["n", "y + 10", "y + 66"], ["y", 6, "72"]], "target_var_name": "j", "target_value": 72, "value_dict": {"y": 6}, "is_reverse": true}} | 25,083 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = n + 20; t = u + 20; f = q + 9; o = x + 14; r = o + 3; j = k + 5; n = y + 10; x = t + 16; c = r + 7; q = d + 18; y = 6; k = f + 4; u = y + 5. If y = 6, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 4 to j, which gives j = f + 9.\n2. Substitute f = q + 9 to j, which gives j = q + 18.\n3. Substitute q = d + 18 to j, which gives j = d + 36.\n4. Substitute d = n + 20 to j, which gives j = n + 56.\n5. Substitute n = y + 10 to j, which gives j = y + 66.\n6. Substitute y = 6 to j, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 25083,
"question": "Consider a system of variables where each variable is defined as follows: d = n + 20; t = u + 20; f = q + 9; o = x + 14; r = o + 3; j = k + 5; n = y + 10; x = t + 16; c = r + 7; q = d + 18; y = 6; k = f + 4; u = y + 5. If y = 6, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 11", "f": "h + 20", "b": "f + 15", "k": "b + 18", "m": "k + 4", "o": "m + 3", "i": "x + 12", "y": "i + 14", "q": "y + 13", "w": "q + 17", "v": "w + 2", "e": "v + 9", "x": 15}, "premises": {"x": 15}, "target": "o"}, "answer": {"steps": [["m", "k + 4", "k + 7"], ["k", "b + 18", "b + 25"], ["b", "f + 15", "f + 40"], ["f", "h + 20", "h + 60"], ["h", "x + 11", "x + 71"], ["x", 15, "86"]], "target_var_name": "o", "target_value": 86, "value_dict": {"x": 15}, "is_reverse": true}} | 25,084 | 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 = x + 11; x = 15; e = v + 9; w = q + 17; k = b + 18; v = w + 2; m = k + 4; b = f + 15; q = y + 13; f = h + 20; o = m + 3; i = x + 12; y = i + 14. If x = 15, what is the resulting value of o?",
"role": "us... | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 4 to o, which gives o = k + 7.\n2. Substitute k = b + 18 to o, which gives o = b + 25.\n3. Substitute b = f + 15 to o, which gives o = f + 40.\n4. Substitute f = h + 20 to o, which gives o = h + 60.\n5. Substitute h = x + 11 to o, which gives o = x + 71.\n6. Substitute x = 15 to o, which gives o = 86.\n\nThus, the final answer is o = \\boxed{86}.",
"index": 25084,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = x + 11; x = 15; e = v + 9; w = q + 17; k = b + 18; v = w + 2; m = k + 4; b = f + 15; q = y + 13; f = h + 20; o = m + 3; i = x + 12; y = i + 14. If x = 15, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 18", "b": "y + 10", "k": "b + 7", "l": "k + 10", "i": "l + 13", "h": "i + 18", "r": "u + 12", "m": "r + 1", "p": "m + 18", "q": "p + 11", "f": "q + 10", "e": "f + 11", "u": 17}, "premises": {"u": 17}, "target": "h"}, "answer": {"steps": [["i", "l + 13", "l + 31"], ["l", "k + 10", "k + 41"], ["k", "b + 7", "b + 48"], ["b", "y + 10", "y + 58"], ["y", "u + 18", "u + 76"], ["u", 17, "93"]], "target_var_name": "h", "target_value": 93, "value_dict": {"u": 17}, "is_reverse": true}} | 25,085 | 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 = i + 18; q = p + 11; f = q + 10; k = b + 7; e = f + 11; i = l + 13; r = u + 12; p = m + 18; y = u + 18; b = y + 10; m = r + 1; l = k + 10; u = 17. If u = 17, what is the resulting value of h?",
"role": "... | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 13 to h, which gives h = l + 31.\n2. Substitute l = k + 10 to h, which gives h = k + 41.\n3. Substitute k = b + 7 to h, which gives h = b + 48.\n4. Substitute b = y + 10 to h, which gives h = y + 58.\n5. Substitute y = u + 18 to h, which gives h = u + 76.\n6. Substitute u = 17 to h, which gives h = 93.\n\nThus, the final answer is h = \\boxed{93}.",
"index": 25085,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = i + 18; q = p + 11; f = q + 10; k = b + 7; e = f + 11; i = l + 13; r = u + 12; p = m + 18; y = u + 18; b = y + 10; m = r + 1; l = k + 10; u = 17. If u = 17, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"e": "f + 8", "u": "e + 17", "w": "u + 9", "g": "w + 10", "d": "g + 2", "s": "d + 5", "j": "f + 5", "x": "j + 10", "n": "x + 18", "i": "n + 18", "q": "i + 18", "o": "q + 10", "f": 15}, "premises": {"f": 15}, "target": "s"}, "answer": {"steps": [["d", "g + 2", "g + 7"], ["g", "w + 10", "w + 17"], ["w", "u + 9", "u + 26"], ["u", "e + 17", "e + 43"], ["e", "f + 8", "f + 51"], ["f", 15, "66"]], "target_var_name": "s", "target_value": 66, "value_dict": {"f": 15}, "is_reverse": true}} | 25,086 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = j + 10; d = g + 2; e = f + 8; w = u + 9; i = n + 18; q = i + 18; j = f + 5; u = e + 17; n = x + 18; f = 15; s = d + 5; g = w + 10; o = q + 10. If f = 15, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 2 to s, which gives s = g + 7.\n2. Substitute g = w + 10 to s, which gives s = w + 17.\n3. Substitute w = u + 9 to s, which gives s = u + 26.\n4. Substitute u = e + 17 to s, which gives s = e + 43.\n5. Substitute e = f + 8 to s, which gives s = f + 51.\n6. Substitute f = 15 to s, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 25086,
"question": "Consider a system of variables where each variable is defined as follows: x = j + 10; d = g + 2; e = f + 8; w = u + 9; i = n + 18; q = i + 18; j = f + 5; u = e + 17; n = x + 18; f = 15; s = d + 5; g = w + 10; o = q + 10. If f = 15, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 8", "j": "t + 9", "e": "j + 15", "b": "e + 6", "w": "b + 13", "c": "w + 11", "f": "g + 20", "v": "f + 4", "z": "v + 18", "m": "z + 3", "d": "m + 10", "l": "d + 4", "g": 16}, "premises": {"g": 16}, "target": "c"}, "answer": {"steps": [["w", "b + 13", "b + 24"], ["b", "e + 6", "e + 30"], ["e", "j + 15", "j + 45"], ["j", "t + 9", "t + 54"], ["t", "g + 8", "g + 62"], ["g", 16, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"g": 16}, "is_reverse": true}} | 25,087 | 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 = g + 20; j = t + 9; l = d + 4; d = m + 10; z = v + 18; m = z + 3; v = f + 4; e = j + 15; b = e + 6; w = b + 13; g = 16; t = g + 8; c = w + 11. If g = 16, what is the resulting value of c?",
"role": "user... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 13 to c, which gives c = b + 24.\n2. Substitute b = e + 6 to c, which gives c = e + 30.\n3. Substitute e = j + 15 to c, which gives c = j + 45.\n4. Substitute j = t + 9 to c, which gives c = t + 54.\n5. Substitute t = g + 8 to c, which gives c = g + 62.\n6. Substitute g = 16 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 25087,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = g + 20; j = t + 9; l = d + 4; d = m + 10; z = v + 18; m = z + 3; v = f + 4; e = j + 15; b = e + 6; w = b + 13; g = 16; t = g + 8; c = w + 11. If g = 16, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 15", "w": "x + 1", "o": "w + 6", "a": "o + 1", "r": "a + 10", "j": "r + 17", "i": "k + 7", "g": "i + 13", "h": "g + 10", "b": "h + 6", "t": "b + 20", "y": "t + 7", "k": 11}, "premises": {"k": 11}, "target": "j"}, "answer": {"steps": [["r", "a + 10", "a + 27"], ["a", "o + 1", "o + 28"], ["o", "w + 6", "w + 34"], ["w", "x + 1", "x + 35"], ["x", "k + 15", "k + 50"], ["k", 11, "61"]], "target_var_name": "j", "target_value": 61, "value_dict": {"k": 11}, "is_reverse": true}} | 25,088 | 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 = o + 1; y = t + 7; o = w + 6; b = h + 6; j = r + 17; k = 11; x = k + 15; i = k + 7; w = x + 1; g = i + 13; t = b + 20; r = a + 10; h = g + 10. If k = 11, 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 r = a + 10 to j, which gives j = a + 27.\n2. Substitute a = o + 1 to j, which gives j = o + 28.\n3. Substitute o = w + 6 to j, which gives j = w + 34.\n4. Substitute w = x + 1 to j, which gives j = x + 35.\n5. Substitute x = k + 15 to j, which gives j = k + 50.\n6. Substitute k = 11 to j, which gives j = 61.\n\nThus, the final answer is j = \\boxed{61}.",
"index": 25088,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = o + 1; y = t + 7; o = w + 6; b = h + 6; j = r + 17; k = 11; x = k + 15; i = k + 7; w = x + 1; g = i + 13; t = b + 20; r = a + 10; h = g + 10. If k = 11, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 11", "e": "y + 5", "x": "e + 19", "z": "x + 7", "o": "z + 4", "f": "o + 17", "b": "j + 18", "m": "b + 14", "d": "m + 19", "c": "d + 4", "t": "c + 4", "q": "t + 14", "j": 5}, "premises": {"j": 5}, "target": "f"}, "answer": {"steps": [["o", "z + 4", "z + 21"], ["z", "x + 7", "x + 28"], ["x", "e + 19", "e + 47"], ["e", "y + 5", "y + 52"], ["y", "j + 11", "j + 63"], ["j", 5, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"j": 5}, "is_reverse": true}} | 25,089 | 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 = d + 4; f = o + 17; m = b + 14; x = e + 19; o = z + 4; q = t + 14; d = m + 19; y = j + 11; j = 5; z = x + 7; e = y + 5; b = j + 18; t = c + 4. If j = 5, what is the resulting value of f?",
"role": "user"... | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = z + 4 to f, which gives f = z + 21.\n2. Substitute z = x + 7 to f, which gives f = x + 28.\n3. Substitute x = e + 19 to f, which gives f = e + 47.\n4. Substitute e = y + 5 to f, which gives f = y + 52.\n5. Substitute y = j + 11 to f, which gives f = j + 63.\n6. Substitute j = 5 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 25089,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = d + 4; f = o + 17; m = b + 14; x = e + 19; o = z + 4; q = t + 14; d = m + 19; y = j + 11; j = 5; z = x + 7; e = y + 5; b = j + 18; t = c + 4. If j = 5, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"s": "o + 4", "w": "s + 18", "k": "w + 8", "z": "k + 20", "t": "z + 6", "r": "t + 14", "e": "o + 15", "l": "e + 20", "f": "l + 3", "b": "f + 20", "m": "b + 9", "y": "m + 11", "o": 17}, "premises": {"o": 17}, "target": "r"}, "answer": {"steps": [["t", "z + 6", "z + 20"], ["z", "k + 20", "k + 40"], ["k", "w + 8", "w + 48"], ["w", "s + 18", "s + 66"], ["s", "o + 4", "o + 70"], ["o", 17, "87"]], "target_var_name": "r", "target_value": 87, "value_dict": {"o": 17}, "is_reverse": true}} | 25,090 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = m + 11; s = o + 4; r = t + 14; b = f + 20; o = 17; t = z + 6; z = k + 20; k = w + 8; w = s + 18; m = b + 9; e = o + 15; l = e + 20; f = l + 3. If o = 17, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 6 to r, which gives r = z + 20.\n2. Substitute z = k + 20 to r, which gives r = k + 40.\n3. Substitute k = w + 8 to r, which gives r = w + 48.\n4. Substitute w = s + 18 to r, which gives r = s + 66.\n5. Substitute s = o + 4 to r, which gives r = o + 70.\n6. Substitute o = 17 to r, which gives r = 87.\n\nThus, the final answer is r = \\boxed{87}.",
"index": 25090,
"question": "Consider a system of variables where each variable is defined as follows: y = m + 11; s = o + 4; r = t + 14; b = f + 20; o = 17; t = z + 6; z = k + 20; k = w + 8; w = s + 18; m = b + 9; e = o + 15; l = e + 20; f = l + 3. If o = 17, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 8", "i": "e + 7", "n": "i + 19", "y": "n + 13", "g": "y + 12", "c": "g + 19", "r": "p + 1", "x": "r + 4", "k": "x + 2", "d": "k + 2", "a": "d + 6", "h": "a + 10", "p": 4}, "premises": {"p": 4}, "target": "c"}, "answer": {"steps": [["g", "y + 12", "y + 31"], ["y", "n + 13", "n + 44"], ["n", "i + 19", "i + 63"], ["i", "e + 7", "e + 70"], ["e", "p + 8", "p + 78"], ["p", 4, "82"]], "target_var_name": "c", "target_value": 82, "value_dict": {"p": 4}, "is_reverse": true}} | 25,091 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = d + 6; g = y + 12; y = n + 13; i = e + 7; n = i + 19; p = 4; x = r + 4; h = a + 10; c = g + 19; r = p + 1; k = x + 2; e = p + 8; d = k + 2. Given that p = 4, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 12 to c, which gives c = y + 31.\n2. Substitute y = n + 13 to c, which gives c = n + 44.\n3. Substitute n = i + 19 to c, which gives c = i + 63.\n4. Substitute i = e + 7 to c, which gives c = e + 70.\n5. Substitute e = p + 8 to c, which gives c = p + 78.\n6. Substitute p = 4 to c, which gives c = 82.\n\nThus, the final answer is c = \\boxed{82}.",
"index": 25091,
"question": "Suppose a collection of variables is related by the following definitions: a = d + 6; g = y + 12; y = n + 13; i = e + 7; n = i + 19; p = 4; x = r + 4; h = a + 10; c = g + 19; r = p + 1; k = x + 2; e = p + 8; d = k + 2. Given that p = 4, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 19", "e": "w + 3", "u": "e + 2", "k": "u + 2", "z": "k + 9", "o": "z + 19", "q": "j + 14", "y": "q + 16", "s": "y + 18", "a": "s + 14", "i": "a + 16", "g": "i + 19", "j": 4}, "premises": {"j": 4}, "target": "o"}, "answer": {"steps": [["z", "k + 9", "k + 28"], ["k", "u + 2", "u + 30"], ["u", "e + 2", "e + 32"], ["e", "w + 3", "w + 35"], ["w", "j + 19", "j + 54"], ["j", 4, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"j": 4}, "is_reverse": true}} | 25,092 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = a + 16; k = u + 2; j = 4; a = s + 14; w = j + 19; o = z + 19; s = y + 18; g = i + 19; y = q + 16; q = j + 14; e = w + 3; u = e + 2; z = k + 9. Given that j = 4, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 9 to o, which gives o = k + 28.\n2. Substitute k = u + 2 to o, which gives o = u + 30.\n3. Substitute u = e + 2 to o, which gives o = e + 32.\n4. Substitute e = w + 3 to o, which gives o = w + 35.\n5. Substitute w = j + 19 to o, which gives o = j + 54.\n6. Substitute j = 4 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 25092,
"question": "Suppose a collection of variables is related by the following definitions: i = a + 16; k = u + 2; j = 4; a = s + 14; w = j + 19; o = z + 19; s = y + 18; g = i + 19; y = q + 16; q = j + 14; e = w + 3; u = e + 2; z = k + 9. Given that j = 4, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"g": "u + 12", "m": "g + 13", "b": "m + 9", "v": "b + 15", "c": "v + 13", "f": "c + 19", "a": "u + 5", "j": "a + 13", "p": "j + 20", "d": "p + 1", "q": "d + 7", "y": "q + 13", "u": 20}, "premises": {"u": 20}, "target": "f"}, "answer": {"steps": [["c", "v + 13", "v + 32"], ["v", "b + 15", "b + 47"], ["b", "m + 9", "m + 56"], ["m", "g + 13", "g + 69"], ["g", "u + 12", "u + 81"], ["u", 20, "101"]], "target_var_name": "f", "target_value": 101, "value_dict": {"u": 20}, "is_reverse": true}} | 25,093 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = b + 15; b = m + 9; f = c + 19; d = p + 1; q = d + 7; y = q + 13; u = 20; a = u + 5; g = u + 12; j = a + 13; p = j + 20; m = g + 13; c = v + 13. If u = 20, what is the resulting value of f?",
"role": "us... | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 13 to f, which gives f = v + 32.\n2. Substitute v = b + 15 to f, which gives f = b + 47.\n3. Substitute b = m + 9 to f, which gives f = m + 56.\n4. Substitute m = g + 13 to f, which gives f = g + 69.\n5. Substitute g = u + 12 to f, which gives f = u + 81.\n6. Substitute u = 20 to f, which gives f = 101.\n\nThus, the final answer is f = \\boxed{101}.",
"index": 25093,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = b + 15; b = m + 9; f = c + 19; d = p + 1; q = d + 7; y = q + 13; u = 20; a = u + 5; g = u + 12; j = a + 13; p = j + 20; m = g + 13; c = v + 13. If u = 20, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 11", "e": "k + 4", "z": "e + 16", "t": "z + 10", "h": "t + 11", "y": "h + 12", "j": "f + 18", "w": "j + 6", "n": "w + 18", "u": "n + 19", "b": "u + 7", "a": "b + 5", "f": 7}, "premises": {"f": 7}, "target": "y"}, "answer": {"steps": [["h", "t + 11", "t + 23"], ["t", "z + 10", "z + 33"], ["z", "e + 16", "e + 49"], ["e", "k + 4", "k + 53"], ["k", "f + 11", "f + 64"], ["f", 7, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"f": 7}, "is_reverse": true}} | 25,094 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = k + 4; n = w + 18; h = t + 11; z = e + 16; t = z + 10; b = u + 7; w = j + 6; j = f + 18; f = 7; u = n + 19; k = f + 11; a = b + 5; y = h + 12. Given that f = 7, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 11 to y, which gives y = t + 23.\n2. Substitute t = z + 10 to y, which gives y = z + 33.\n3. Substitute z = e + 16 to y, which gives y = e + 49.\n4. Substitute e = k + 4 to y, which gives y = k + 53.\n5. Substitute k = f + 11 to y, which gives y = f + 64.\n6. Substitute f = 7 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 25094,
"question": "Suppose a collection of variables is related by the following definitions: e = k + 4; n = w + 18; h = t + 11; z = e + 16; t = z + 10; b = u + 7; w = j + 6; j = f + 18; f = 7; u = n + 19; k = f + 11; a = b + 5; y = h + 12. Given that f = 7, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 1", "k": "o + 3", "s": "k + 11", "a": "s + 1", "t": "a + 13", "l": "t + 9", "e": "d + 8", "y": "e + 16", "b": "y + 3", "p": "b + 18", "v": "p + 7", "h": "v + 7", "d": 9}, "premises": {"d": 9}, "target": "l"}, "answer": {"steps": [["t", "a + 13", "a + 22"], ["a", "s + 1", "s + 23"], ["s", "k + 11", "k + 34"], ["k", "o + 3", "o + 37"], ["o", "d + 1", "d + 38"], ["d", 9, "47"]], "target_var_name": "l", "target_value": 47, "value_dict": {"d": 9}, "is_reverse": true}} | 25,095 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 9; d = 9; a = s + 1; e = d + 8; k = o + 3; v = p + 7; t = a + 13; y = e + 16; b = y + 3; h = v + 7; o = d + 1; s = k + 11; p = b + 18. If d = 9, what is the resulting value of l?",
"role": "user"
... | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 13 to l, which gives l = a + 22.\n2. Substitute a = s + 1 to l, which gives l = s + 23.\n3. Substitute s = k + 11 to l, which gives l = k + 34.\n4. Substitute k = o + 3 to l, which gives l = o + 37.\n5. Substitute o = d + 1 to l, which gives l = d + 38.\n6. Substitute d = 9 to l, which gives l = 47.\n\nThus, the final answer is l = \\boxed{47}.",
"index": 25095,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 9; d = 9; a = s + 1; e = d + 8; k = o + 3; v = p + 7; t = a + 13; y = e + 16; b = y + 3; h = v + 7; o = d + 1; s = k + 11; p = b + 18. If d = 9, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 4", "s": "d + 19", "j": "s + 20", "f": "j + 11", "w": "f + 19", "n": "w + 13", "a": "l + 5", "r": "a + 19", "i": "r + 15", "t": "i + 3", "v": "t + 1", "b": "v + 1", "l": 2}, "premises": {"l": 2}, "target": "n"}, "answer": {"steps": [["w", "f + 19", "f + 32"], ["f", "j + 11", "j + 43"], ["j", "s + 20", "s + 63"], ["s", "d + 19", "d + 82"], ["d", "l + 4", "l + 86"], ["l", 2, "88"]], "target_var_name": "n", "target_value": 88, "value_dict": {"l": 2}, "is_reverse": true}} | 25,096 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = f + 19; i = r + 15; b = v + 1; t = i + 3; l = 2; v = t + 1; f = j + 11; n = w + 13; a = l + 5; d = l + 4; r = a + 19; j = s + 20; s = d + 19. Given that l = 2, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 19 to n, which gives n = f + 32.\n2. Substitute f = j + 11 to n, which gives n = j + 43.\n3. Substitute j = s + 20 to n, which gives n = s + 63.\n4. Substitute s = d + 19 to n, which gives n = d + 82.\n5. Substitute d = l + 4 to n, which gives n = l + 86.\n6. Substitute l = 2 to n, which gives n = 88.\n\nThus, the final answer is n = \\boxed{88}.",
"index": 25096,
"question": "Suppose a collection of variables is related by the following definitions: w = f + 19; i = r + 15; b = v + 1; t = i + 3; l = 2; v = t + 1; f = j + 11; n = w + 13; a = l + 5; d = l + 4; r = a + 19; j = s + 20; s = d + 19. Given that l = 2, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"v": "d + 6", "r": "v + 3", "g": "r + 5", "a": "g + 2", "b": "a + 7", "i": "b + 16", "h": "d + 18", "f": "h + 5", "z": "f + 15", "l": "z + 3", "t": "l + 16", "c": "t + 7", "d": 4}, "premises": {"d": 4}, "target": "i"}, "answer": {"steps": [["b", "a + 7", "a + 23"], ["a", "g + 2", "g + 25"], ["g", "r + 5", "r + 30"], ["r", "v + 3", "v + 33"], ["v", "d + 6", "d + 39"], ["d", 4, "43"]], "target_var_name": "i", "target_value": 43, "value_dict": {"d": 4}, "is_reverse": true}} | 25,097 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = l + 16; z = f + 15; r = v + 3; b = a + 7; i = b + 16; v = d + 6; l = z + 3; f = h + 5; a = g + 2; h = d + 18; d = 4; g = r + 5; c = t + 7. If d = 4, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 7 to i, which gives i = a + 23.\n2. Substitute a = g + 2 to i, which gives i = g + 25.\n3. Substitute g = r + 5 to i, which gives i = r + 30.\n4. Substitute r = v + 3 to i, which gives i = v + 33.\n5. Substitute v = d + 6 to i, which gives i = d + 39.\n6. Substitute d = 4 to i, which gives i = 43.\n\nThus, the final answer is i = \\boxed{43}.",
"index": 25097,
"question": "Consider a system of variables where each variable is defined as follows: t = l + 16; z = f + 15; r = v + 3; b = a + 7; i = b + 16; v = d + 6; l = z + 3; f = h + 5; a = g + 2; h = d + 18; d = 4; g = r + 5; c = t + 7. If d = 4, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 7", "c": "h + 8", "b": "c + 10", "p": "b + 15", "g": "p + 20", "y": "g + 1", "q": "v + 7", "d": "q + 12", "j": "d + 3", "u": "j + 11", "n": "u + 15", "e": "n + 13", "v": 7}, "premises": {"v": 7}, "target": "y"}, "answer": {"steps": [["g", "p + 20", "p + 21"], ["p", "b + 15", "b + 36"], ["b", "c + 10", "c + 46"], ["c", "h + 8", "h + 54"], ["h", "v + 7", "v + 61"], ["v", 7, "68"]], "target_var_name": "y", "target_value": 68, "value_dict": {"v": 7}, "is_reverse": true}} | 25,098 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = 7; j = d + 3; d = q + 12; e = n + 13; c = h + 8; h = v + 7; n = u + 15; y = g + 1; q = v + 7; b = c + 10; u = j + 11; p = b + 15; g = p + 20. If v = 7, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 20 to y, which gives y = p + 21.\n2. Substitute p = b + 15 to y, which gives y = b + 36.\n3. Substitute b = c + 10 to y, which gives y = c + 46.\n4. Substitute c = h + 8 to y, which gives y = h + 54.\n5. Substitute h = v + 7 to y, which gives y = v + 61.\n6. Substitute v = 7 to y, which gives y = 68.\n\nThus, the final answer is y = \\boxed{68}.",
"index": 25098,
"question": "Consider a system of variables where each variable is defined as follows: v = 7; j = d + 3; d = q + 12; e = n + 13; c = h + 8; h = v + 7; n = u + 15; y = g + 1; q = v + 7; b = c + 10; u = j + 11; p = b + 15; g = p + 20. If v = 7, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 17", "u": "s + 2", "b": "u + 6", "m": "b + 4", "i": "m + 12", "r": "i + 4", "x": "g + 16", "o": "x + 15", "j": "o + 3", "h": "j + 16", "k": "h + 12", "y": "k + 11", "g": 16}, "premises": {"g": 16}, "target": "r"}, "answer": {"steps": [["i", "m + 12", "m + 16"], ["m", "b + 4", "b + 20"], ["b", "u + 6", "u + 26"], ["u", "s + 2", "s + 28"], ["s", "g + 17", "g + 45"], ["g", 16, "61"]], "target_var_name": "r", "target_value": 61, "value_dict": {"g": 16}, "is_reverse": true}} | 25,099 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = x + 15; u = s + 2; s = g + 17; i = m + 12; m = b + 4; k = h + 12; y = k + 11; g = 16; x = g + 16; j = o + 3; h = j + 16; r = i + 4; b = u + 6. If g = 16, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 12 to r, which gives r = m + 16.\n2. Substitute m = b + 4 to r, which gives r = b + 20.\n3. Substitute b = u + 6 to r, which gives r = u + 26.\n4. Substitute u = s + 2 to r, which gives r = s + 28.\n5. Substitute s = g + 17 to r, which gives r = g + 45.\n6. Substitute g = 16 to r, which gives r = 61.\n\nThus, the final answer is r = \\boxed{61}.",
"index": 25099,
"question": "Consider a system of variables where each variable is defined as follows: o = x + 15; u = s + 2; s = g + 17; i = m + 12; m = b + 4; k = h + 12; y = k + 11; g = 16; x = g + 16; j = o + 3; h = j + 16; r = i + 4; b = u + 6. If g = 16, determine the value of r.",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.