meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"y": "d + 16", "o": "y + 10", "g": "o + 19", "s": "g + 1", "h": "s + 5", "q": "h + 14", "c": "d + 15", "w": "c + 10", "a": "w + 3", "p": "a + 6", "n": "p + 18", "r": "n + 16", "d": 11}, "premises": {"d": 11}, "target": "q"}, "answer": {"steps": [["h", "s + 5", "s + 19"], ["s", "g + 1", "g + 20"], ["g", "o + 19", "o + 39"], ["o", "y + 10", "y + 49"], ["y", "d + 16", "d + 65"], ["d", 11, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"d": 11}, "is_reverse": true}} | 14,100 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = a + 6; s = g + 1; h = s + 5; y = d + 16; c = d + 15; q = h + 14; r = n + 16; n = p + 18; a = w + 3; g = o + 19; w = c + 10; o = y + 10; d = 11. Given that d = 11, 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 = s + 5 to q, which gives q = s + 19.\n2. Substitute s = g + 1 to q, which gives q = g + 20.\n3. Substitute g = o + 19 to q, which gives q = o + 39.\n4. Substitute o = y + 10 to q, which gives q = y + 49.\n5. Substitute y = d + 16 to q, which gives q = d + 65.\n6. Substitute d = 11 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 14100,
"question": "Suppose a collection of variables is related by the following definitions: p = a + 6; s = g + 1; h = s + 5; y = d + 16; c = d + 15; q = h + 14; r = n + 16; n = p + 18; a = w + 3; g = o + 19; w = c + 10; o = y + 10; d = 11. Given that d = 11, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 14", "n": "i + 5", "h": "n + 20", "g": "h + 3", "u": "g + 15", "l": "u + 13", "s": "x + 8", "b": "s + 4", "w": "b + 7", "o": "w + 4", "m": "o + 6", "q": "m + 19", "x": 6}, "premises": {"x": 6}, "target": "l"}, "answer": {"steps": [["u", "g + 15", "g + 28"], ["g", "h + 3", "h + 31"], ["h", "n + 20", "n + 51"], ["n", "i + 5", "i + 56"], ["i", "x + 14", "x + 70"], ["x", 6, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"x": 6}, "is_reverse": true}} | 14,101 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 20; b = s + 4; m = o + 6; n = i + 5; q = m + 19; g = h + 3; u = g + 15; s = x + 8; x = 6; l = u + 13; o = w + 4; w = b + 7; i = x + 14. If x = 6, what is the resulting value of l?",
"role": "user"
... | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 15 to l, which gives l = g + 28.\n2. Substitute g = h + 3 to l, which gives l = h + 31.\n3. Substitute h = n + 20 to l, which gives l = n + 51.\n4. Substitute n = i + 5 to l, which gives l = i + 56.\n5. Substitute i = x + 14 to l, which gives l = x + 70.\n6. Substitute x = 6 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 14101,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 20; b = s + 4; m = o + 6; n = i + 5; q = m + 19; g = h + 3; u = g + 15; s = x + 8; x = 6; l = u + 13; o = w + 4; w = b + 7; i = x + 14. If x = 6, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 11", "b": "f + 8", "q": "b + 4", "c": "q + 7", "t": "c + 15", "z": "t + 18", "g": "o + 9", "r": "g + 10", "u": "r + 5", "y": "u + 11", "x": "y + 1", "e": "x + 18", "o": 13}, "premises": {"o": 13}, "target": "z"}, "answer": {"steps": [["t", "c + 15", "c + 33"], ["c", "q + 7", "q + 40"], ["q", "b + 4", "b + 44"], ["b", "f + 8", "f + 52"], ["f", "o + 11", "o + 63"], ["o", 13, "76"]], "target_var_name": "z", "target_value": 76, "value_dict": {"o": 13}, "is_reverse": true}} | 14,102 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 1; f = o + 11; c = q + 7; o = 13; t = c + 15; q = b + 4; b = f + 8; g = o + 9; u = r + 5; r = g + 10; z = t + 18; y = u + 11; e = x + 18. Given that o = 13, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 15 to z, which gives z = c + 33.\n2. Substitute c = q + 7 to z, which gives z = q + 40.\n3. Substitute q = b + 4 to z, which gives z = b + 44.\n4. Substitute b = f + 8 to z, which gives z = f + 52.\n5. Substitute f = o + 11 to z, which gives z = o + 63.\n6. Substitute o = 13 to z, which gives z = 76.\n\nThus, the final answer is z = \\boxed{76}.",
"index": 14102,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 1; f = o + 11; c = q + 7; o = 13; t = c + 15; q = b + 4; b = f + 8; g = o + 9; u = r + 5; r = g + 10; z = t + 18; y = u + 11; e = x + 18. Given that o = 13, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 3", "s": "j + 12", "f": "s + 6", "t": "f + 3", "k": "t + 5", "y": "k + 19", "v": "i + 5", "h": "v + 10", "m": "h + 14", "u": "m + 8", "w": "u + 15", "a": "w + 7", "i": 9}, "premises": {"i": 9}, "target": "y"}, "answer": {"steps": [["k", "t + 5", "t + 24"], ["t", "f + 3", "f + 27"], ["f", "s + 6", "s + 33"], ["s", "j + 12", "j + 45"], ["j", "i + 3", "i + 48"], ["i", 9, "57"]], "target_var_name": "y", "target_value": 57, "value_dict": {"i": 9}, "is_reverse": true}} | 14,103 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = s + 6; t = f + 3; j = i + 3; i = 9; a = w + 7; s = j + 12; k = t + 5; m = h + 14; v = i + 5; h = v + 10; y = k + 19; w = u + 15; u = m + 8. If i = 9, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 5 to y, which gives y = t + 24.\n2. Substitute t = f + 3 to y, which gives y = f + 27.\n3. Substitute f = s + 6 to y, which gives y = s + 33.\n4. Substitute s = j + 12 to y, which gives y = j + 45.\n5. Substitute j = i + 3 to y, which gives y = i + 48.\n6. Substitute i = 9 to y, which gives y = 57.\n\nThus, the final answer is y = \\boxed{57}.",
"index": 14103,
"question": "Consider a system of variables where each variable is defined as follows: f = s + 6; t = f + 3; j = i + 3; i = 9; a = w + 7; s = j + 12; k = t + 5; m = h + 14; v = i + 5; h = v + 10; y = k + 19; w = u + 15; u = m + 8. If i = 9, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "x + 14", "t": "k + 18", "e": "t + 20", "n": "e + 8", "a": "n + 19", "j": "a + 20", "v": "x + 20", "b": "v + 10", "l": "b + 6", "f": "l + 14", "q": "f + 5", "p": "q + 13", "x": 8}, "premises": {"x": 8}, "target": "j"}, "answer": {"steps": [["a", "n + 19", "n + 39"], ["n", "e + 8", "e + 47"], ["e", "t + 20", "t + 67"], ["t", "k + 18", "k + 85"], ["k", "x + 14", "x + 99"], ["x", 8, "107"]], "target_var_name": "j", "target_value": 107, "value_dict": {"x": 8}, "is_reverse": true}} | 14,104 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = 8; j = a + 20; b = v + 10; n = e + 8; l = b + 6; f = l + 14; p = q + 13; t = k + 18; a = n + 19; k = x + 14; v = x + 20; e = t + 20; q = f + 5. If x = 8, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 19 to j, which gives j = n + 39.\n2. Substitute n = e + 8 to j, which gives j = e + 47.\n3. Substitute e = t + 20 to j, which gives j = t + 67.\n4. Substitute t = k + 18 to j, which gives j = k + 85.\n5. Substitute k = x + 14 to j, which gives j = x + 99.\n6. Substitute x = 8 to j, which gives j = 107.\n\nThus, the final answer is j = \\boxed{107}.",
"index": 14104,
"question": "Consider a system of variables where each variable is defined as follows: x = 8; j = a + 20; b = v + 10; n = e + 8; l = b + 6; f = l + 14; p = q + 13; t = k + 18; a = n + 19; k = x + 14; v = x + 20; e = t + 20; q = f + 5. If x = 8, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 12", "p": "d + 2", "c": "p + 8", "w": "c + 18", "l": "w + 13", "y": "l + 15", "i": "g + 19", "t": "i + 2", "f": "t + 7", "v": "f + 11", "k": "v + 6", "e": "k + 13", "g": 18}, "premises": {"g": 18}, "target": "y"}, "answer": {"steps": [["l", "w + 13", "w + 28"], ["w", "c + 18", "c + 46"], ["c", "p + 8", "p + 54"], ["p", "d + 2", "d + 56"], ["d", "g + 12", "g + 68"], ["g", 18, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"g": 18}, "is_reverse": true}} | 14,105 | 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 = k + 13; w = c + 18; l = w + 13; f = t + 7; y = l + 15; t = i + 2; p = d + 2; d = g + 12; k = v + 6; g = 18; i = g + 19; v = f + 11; c = p + 8. If g = 18, what is the resulting value of y?",
"role": "use... | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 13 to y, which gives y = w + 28.\n2. Substitute w = c + 18 to y, which gives y = c + 46.\n3. Substitute c = p + 8 to y, which gives y = p + 54.\n4. Substitute p = d + 2 to y, which gives y = d + 56.\n5. Substitute d = g + 12 to y, which gives y = g + 68.\n6. Substitute g = 18 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 14105,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = k + 13; w = c + 18; l = w + 13; f = t + 7; y = l + 15; t = i + 2; p = d + 2; d = g + 12; k = v + 6; g = 18; i = g + 19; v = f + 11; c = p + 8. If g = 18, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 9", "l": "i + 1", "u": "l + 13", "f": "u + 15", "g": "f + 12", "o": "g + 6", "e": "z + 1", "d": "e + 18", "m": "d + 16", "c": "m + 9", "q": "c + 1", "n": "q + 19", "z": 13}, "premises": {"z": 13}, "target": "o"}, "answer": {"steps": [["g", "f + 12", "f + 18"], ["f", "u + 15", "u + 33"], ["u", "l + 13", "l + 46"], ["l", "i + 1", "i + 47"], ["i", "z + 9", "z + 56"], ["z", 13, "69"]], "target_var_name": "o", "target_value": 69, "value_dict": {"z": 13}, "is_reverse": true}} | 14,106 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = z + 9; n = q + 19; d = e + 18; q = c + 1; z = 13; e = z + 1; u = l + 13; f = u + 15; o = g + 6; m = d + 16; g = f + 12; l = i + 1; c = m + 9. If z = 13, what is the resulting value of o?",
"role": "user... | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 12 to o, which gives o = f + 18.\n2. Substitute f = u + 15 to o, which gives o = u + 33.\n3. Substitute u = l + 13 to o, which gives o = l + 46.\n4. Substitute l = i + 1 to o, which gives o = i + 47.\n5. Substitute i = z + 9 to o, which gives o = z + 56.\n6. Substitute z = 13 to o, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 14106,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = z + 9; n = q + 19; d = e + 18; q = c + 1; z = 13; e = z + 1; u = l + 13; f = u + 15; o = g + 6; m = d + 16; g = f + 12; l = i + 1; c = m + 9. If z = 13, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 15", "u": "j + 4", "z": "u + 8", "b": "z + 18", "g": "b + 12", "t": "g + 8", "k": "e + 9", "o": "k + 4", "w": "o + 16", "d": "w + 5", "y": "d + 5", "m": "y + 17", "e": 17}, "premises": {"e": 17}, "target": "t"}, "answer": {"steps": [["g", "b + 12", "b + 20"], ["b", "z + 18", "z + 38"], ["z", "u + 8", "u + 46"], ["u", "j + 4", "j + 50"], ["j", "e + 15", "e + 65"], ["e", 17, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"e": 17}, "is_reverse": true}} | 14,107 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 9; g = b + 12; m = y + 17; w = o + 16; t = g + 8; e = 17; b = z + 18; j = e + 15; z = u + 8; d = w + 5; u = j + 4; y = d + 5; o = k + 4. If e = 17, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 12 to t, which gives t = b + 20.\n2. Substitute b = z + 18 to t, which gives t = z + 38.\n3. Substitute z = u + 8 to t, which gives t = u + 46.\n4. Substitute u = j + 4 to t, which gives t = j + 50.\n5. Substitute j = e + 15 to t, which gives t = e + 65.\n6. Substitute e = 17 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 14107,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 9; g = b + 12; m = y + 17; w = o + 16; t = g + 8; e = 17; b = z + 18; j = e + 15; z = u + 8; d = w + 5; u = j + 4; y = d + 5; o = k + 4. If e = 17, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 20", "p": "j + 13", "q": "p + 16", "a": "q + 3", "u": "a + 14", "h": "u + 8", "d": "f + 7", "l": "d + 2", "c": "l + 11", "s": "c + 8", "z": "s + 10", "n": "z + 6", "f": 15}, "premises": {"f": 15}, "target": "h"}, "answer": {"steps": [["u", "a + 14", "a + 22"], ["a", "q + 3", "q + 25"], ["q", "p + 16", "p + 41"], ["p", "j + 13", "j + 54"], ["j", "f + 20", "f + 74"], ["f", 15, "89"]], "target_var_name": "h", "target_value": 89, "value_dict": {"f": 15}, "is_reverse": true}} | 14,108 | 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 = j + 13; a = q + 3; h = u + 8; l = d + 2; d = f + 7; n = z + 6; z = s + 10; q = p + 16; u = a + 14; c = l + 11; f = 15; j = f + 20; s = c + 8. If f = 15, what is the resulting value of h?",
"role": "user... | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 14 to h, which gives h = a + 22.\n2. Substitute a = q + 3 to h, which gives h = q + 25.\n3. Substitute q = p + 16 to h, which gives h = p + 41.\n4. Substitute p = j + 13 to h, which gives h = j + 54.\n5. Substitute j = f + 20 to h, which gives h = f + 74.\n6. Substitute f = 15 to h, which gives h = 89.\n\nThus, the final answer is h = \\boxed{89}.",
"index": 14108,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 13; a = q + 3; h = u + 8; l = d + 2; d = f + 7; n = z + 6; z = s + 10; q = p + 16; u = a + 14; c = l + 11; f = 15; j = f + 20; s = c + 8. If f = 15, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 18", "d": "y + 19", "o": "d + 14", "x": "o + 20", "c": "x + 19", "p": "c + 3", "t": "f + 13", "s": "t + 19", "h": "s + 15", "r": "h + 17", "m": "r + 2", "j": "m + 13", "f": 19}, "premises": {"f": 19}, "target": "p"}, "answer": {"steps": [["c", "x + 19", "x + 22"], ["x", "o + 20", "o + 42"], ["o", "d + 14", "d + 56"], ["d", "y + 19", "y + 75"], ["y", "f + 18", "f + 93"], ["f", 19, "112"]], "target_var_name": "p", "target_value": 112, "value_dict": {"f": 19}, "is_reverse": true}} | 14,109 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 19; r = h + 17; t = f + 13; c = x + 19; x = o + 20; h = s + 15; d = y + 19; m = r + 2; s = t + 19; j = m + 13; y = f + 18; p = c + 3; o = d + 14. Given that f = 19, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 112,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 19 to p, which gives p = x + 22.\n2. Substitute x = o + 20 to p, which gives p = o + 42.\n3. Substitute o = d + 14 to p, which gives p = d + 56.\n4. Substitute d = y + 19 to p, which gives p = y + 75.\n5. Substitute y = f + 18 to p, which gives p = f + 93.\n6. Substitute f = 19 to p, which gives p = 112.\n\nThus, the final answer is p = \\boxed{112}.",
"index": 14109,
"question": "Suppose a collection of variables is related by the following definitions: f = 19; r = h + 17; t = f + 13; c = x + 19; x = o + 20; h = s + 15; d = y + 19; m = r + 2; s = t + 19; j = m + 13; y = f + 18; p = c + 3; o = d + 14. Given that f = 19, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"q": "l + 7", "n": "q + 4", "x": "n + 10", "i": "x + 11", "d": "i + 1", "v": "d + 6", "o": "l + 2", "p": "o + 13", "w": "p + 6", "c": "w + 17", "g": "c + 1", "h": "g + 1", "l": 13}, "premises": {"l": 13}, "target": "v"}, "answer": {"steps": [["d", "i + 1", "i + 7"], ["i", "x + 11", "x + 18"], ["x", "n + 10", "n + 28"], ["n", "q + 4", "q + 32"], ["q", "l + 7", "l + 39"], ["l", 13, "52"]], "target_var_name": "v", "target_value": 52, "value_dict": {"l": 13}, "is_reverse": true}} | 14,110 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = x + 11; q = l + 7; c = w + 17; h = g + 1; x = n + 10; o = l + 2; n = q + 4; d = i + 1; l = 13; w = p + 6; v = d + 6; p = o + 13; g = c + 1. If l = 13, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 1 to v, which gives v = i + 7.\n2. Substitute i = x + 11 to v, which gives v = x + 18.\n3. Substitute x = n + 10 to v, which gives v = n + 28.\n4. Substitute n = q + 4 to v, which gives v = q + 32.\n5. Substitute q = l + 7 to v, which gives v = l + 39.\n6. Substitute l = 13 to v, which gives v = 52.\n\nThus, the final answer is v = \\boxed{52}.",
"index": 14110,
"question": "Consider a system of variables where each variable is defined as follows: i = x + 11; q = l + 7; c = w + 17; h = g + 1; x = n + 10; o = l + 2; n = q + 4; d = i + 1; l = 13; w = p + 6; v = d + 6; p = o + 13; g = c + 1. If l = 13, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"s": "v + 14", "a": "s + 12", "w": "a + 16", "t": "w + 16", "i": "t + 18", "j": "i + 5", "b": "v + 3", "k": "b + 8", "f": "k + 15", "p": "f + 6", "z": "p + 5", "l": "z + 5", "v": 2}, "premises": {"v": 2}, "target": "j"}, "answer": {"steps": [["i", "t + 18", "t + 23"], ["t", "w + 16", "w + 39"], ["w", "a + 16", "a + 55"], ["a", "s + 12", "s + 67"], ["s", "v + 14", "v + 81"], ["v", 2, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"v": 2}, "is_reverse": true}} | 14,111 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = t + 18; p = f + 6; b = v + 3; l = z + 5; f = k + 15; z = p + 5; s = v + 14; k = b + 8; t = w + 16; j = i + 5; a = s + 12; w = a + 16; v = 2. If v = 2, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 18 to j, which gives j = t + 23.\n2. Substitute t = w + 16 to j, which gives j = w + 39.\n3. Substitute w = a + 16 to j, which gives j = a + 55.\n4. Substitute a = s + 12 to j, which gives j = s + 67.\n5. Substitute s = v + 14 to j, which gives j = v + 81.\n6. Substitute v = 2 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 14111,
"question": "Consider a system of variables where each variable is defined as follows: i = t + 18; p = f + 6; b = v + 3; l = z + 5; f = k + 15; z = p + 5; s = v + 14; k = b + 8; t = w + 16; j = i + 5; a = s + 12; w = a + 16; v = 2. If v = 2, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 2", "n": "m + 1", "f": "n + 4", "p": "f + 17", "y": "p + 7", "i": "y + 2", "o": "b + 2", "x": "o + 14", "q": "x + 19", "k": "q + 7", "c": "k + 15", "l": "c + 1", "b": 15}, "premises": {"b": 15}, "target": "i"}, "answer": {"steps": [["y", "p + 7", "p + 9"], ["p", "f + 17", "f + 26"], ["f", "n + 4", "n + 30"], ["n", "m + 1", "m + 31"], ["m", "b + 2", "b + 33"], ["b", 15, "48"]], "target_var_name": "i", "target_value": 48, "value_dict": {"b": 15}, "is_reverse": true}} | 14,112 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = q + 7; i = y + 2; n = m + 1; b = 15; o = b + 2; y = p + 7; m = b + 2; q = x + 19; x = o + 14; p = f + 17; f = n + 4; l = c + 1; c = k + 15. Given that b = 15, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 7 to i, which gives i = p + 9.\n2. Substitute p = f + 17 to i, which gives i = f + 26.\n3. Substitute f = n + 4 to i, which gives i = n + 30.\n4. Substitute n = m + 1 to i, which gives i = m + 31.\n5. Substitute m = b + 2 to i, which gives i = b + 33.\n6. Substitute b = 15 to i, which gives i = 48.\n\nThus, the final answer is i = \\boxed{48}.",
"index": 14112,
"question": "Suppose a collection of variables is related by the following definitions: k = q + 7; i = y + 2; n = m + 1; b = 15; o = b + 2; y = p + 7; m = b + 2; q = x + 19; x = o + 14; p = f + 17; f = n + 4; l = c + 1; c = k + 15. Given that b = 15, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 4", "e": "q + 17", "t": "e + 14", "w": "t + 15", "b": "w + 6", "y": "b + 7", "o": "k + 3", "x": "o + 14", "c": "x + 8", "z": "c + 16", "a": "z + 2", "g": "a + 15", "k": 16}, "premises": {"k": 16}, "target": "y"}, "answer": {"steps": [["b", "w + 6", "w + 13"], ["w", "t + 15", "t + 28"], ["t", "e + 14", "e + 42"], ["e", "q + 17", "q + 59"], ["q", "k + 4", "k + 63"], ["k", 16, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"k": 16}, "is_reverse": true}} | 14,113 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = x + 8; q = k + 4; x = o + 14; w = t + 15; y = b + 7; z = c + 16; o = k + 3; k = 16; b = w + 6; t = e + 14; e = q + 17; a = z + 2; g = a + 15. If k = 16, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 6 to y, which gives y = w + 13.\n2. Substitute w = t + 15 to y, which gives y = t + 28.\n3. Substitute t = e + 14 to y, which gives y = e + 42.\n4. Substitute e = q + 17 to y, which gives y = q + 59.\n5. Substitute q = k + 4 to y, which gives y = k + 63.\n6. Substitute k = 16 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 14113,
"question": "Consider a system of variables where each variable is defined as follows: c = x + 8; q = k + 4; x = o + 14; w = t + 15; y = b + 7; z = c + 16; o = k + 3; k = 16; b = w + 6; t = e + 14; e = q + 17; a = z + 2; g = a + 15. If k = 16, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 15", "n": "z + 10", "b": "n + 4", "i": "b + 14", "j": "i + 14", "e": "j + 7", "k": "u + 8", "f": "k + 2", "x": "f + 1", "h": "x + 6", "c": "h + 19", "o": "c + 14", "u": 6}, "premises": {"u": 6}, "target": "e"}, "answer": {"steps": [["j", "i + 14", "i + 21"], ["i", "b + 14", "b + 35"], ["b", "n + 4", "n + 39"], ["n", "z + 10", "z + 49"], ["z", "u + 15", "u + 64"], ["u", 6, "70"]], "target_var_name": "e", "target_value": 70, "value_dict": {"u": 6}, "is_reverse": true}} | 14,114 | 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 = z + 10; i = b + 14; o = c + 14; f = k + 2; x = f + 1; j = i + 14; b = n + 4; c = h + 19; h = x + 6; z = u + 15; u = 6; e = j + 7; k = u + 8. If u = 6, what is the resulting value of e?",
"role": "user"
... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 14 to e, which gives e = i + 21.\n2. Substitute i = b + 14 to e, which gives e = b + 35.\n3. Substitute b = n + 4 to e, which gives e = n + 39.\n4. Substitute n = z + 10 to e, which gives e = z + 49.\n5. Substitute z = u + 15 to e, which gives e = u + 64.\n6. Substitute u = 6 to e, which gives e = 70.\n\nThus, the final answer is e = \\boxed{70}.",
"index": 14114,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 10; i = b + 14; o = c + 14; f = k + 2; x = f + 1; j = i + 14; b = n + 4; c = h + 19; h = x + 6; z = u + 15; u = 6; e = j + 7; k = u + 8. If u = 6, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 18", "t": "j + 18", "c": "t + 15", "e": "c + 2", "b": "e + 1", "d": "b + 14", "w": "q + 11", "h": "w + 6", "f": "h + 20", "s": "f + 4", "n": "s + 12", "m": "n + 11", "q": 8}, "premises": {"q": 8}, "target": "d"}, "answer": {"steps": [["b", "e + 1", "e + 15"], ["e", "c + 2", "c + 17"], ["c", "t + 15", "t + 32"], ["t", "j + 18", "j + 50"], ["j", "q + 18", "q + 68"], ["q", 8, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"q": 8}, "is_reverse": true}} | 14,115 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = t + 15; w = q + 11; t = j + 18; j = q + 18; e = c + 2; m = n + 11; s = f + 4; h = w + 6; f = h + 20; d = b + 14; b = e + 1; n = s + 12; q = 8. If q = 8, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 1 to d, which gives d = e + 15.\n2. Substitute e = c + 2 to d, which gives d = c + 17.\n3. Substitute c = t + 15 to d, which gives d = t + 32.\n4. Substitute t = j + 18 to d, which gives d = j + 50.\n5. Substitute j = q + 18 to d, which gives d = q + 68.\n6. Substitute q = 8 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 14115,
"question": "Consider a system of variables where each variable is defined as follows: c = t + 15; w = q + 11; t = j + 18; j = q + 18; e = c + 2; m = n + 11; s = f + 4; h = w + 6; f = h + 20; d = b + 14; b = e + 1; n = s + 12; q = 8. If q = 8, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 1", "v": "e + 4", "f": "v + 5", "p": "f + 2", "g": "p + 8", "m": "g + 2", "x": "s + 20", "q": "x + 6", "t": "q + 12", "n": "t + 8", "w": "n + 16", "d": "w + 12", "s": 18}, "premises": {"s": 18}, "target": "m"}, "answer": {"steps": [["g", "p + 8", "p + 10"], ["p", "f + 2", "f + 12"], ["f", "v + 5", "v + 17"], ["v", "e + 4", "e + 21"], ["e", "s + 1", "s + 22"], ["s", 18, "40"]], "target_var_name": "m", "target_value": 40, "value_dict": {"s": 18}, "is_reverse": true}} | 14,116 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = s + 1; s = 18; f = v + 5; t = q + 12; q = x + 6; x = s + 20; m = g + 2; p = f + 2; w = n + 16; v = e + 4; g = p + 8; d = w + 12; n = t + 8. Given that s = 18, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 8 to m, which gives m = p + 10.\n2. Substitute p = f + 2 to m, which gives m = f + 12.\n3. Substitute f = v + 5 to m, which gives m = v + 17.\n4. Substitute v = e + 4 to m, which gives m = e + 21.\n5. Substitute e = s + 1 to m, which gives m = s + 22.\n6. Substitute s = 18 to m, which gives m = 40.\n\nThus, the final answer is m = \\boxed{40}.",
"index": 14116,
"question": "Suppose a collection of variables is related by the following definitions: e = s + 1; s = 18; f = v + 5; t = q + 12; q = x + 6; x = s + 20; m = g + 2; p = f + 2; w = n + 16; v = e + 4; g = p + 8; d = w + 12; n = t + 8. Given that s = 18, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 9", "o": "v + 15", "c": "o + 12", "f": "c + 12", "z": "f + 11", "u": "z + 12", "r": "l + 18", "j": "r + 4", "i": "j + 4", "m": "i + 16", "n": "m + 19", "g": "n + 18", "l": 19}, "premises": {"l": 19}, "target": "u"}, "answer": {"steps": [["z", "f + 11", "f + 23"], ["f", "c + 12", "c + 35"], ["c", "o + 12", "o + 47"], ["o", "v + 15", "v + 62"], ["v", "l + 9", "l + 71"], ["l", 19, "90"]], "target_var_name": "u", "target_value": 90, "value_dict": {"l": 19}, "is_reverse": true}} | 14,117 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = j + 4; n = m + 19; v = l + 9; c = o + 12; m = i + 16; o = v + 15; u = z + 12; f = c + 12; g = n + 18; z = f + 11; j = r + 4; l = 19; r = l + 18. Given that l = 19, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 11 to u, which gives u = f + 23.\n2. Substitute f = c + 12 to u, which gives u = c + 35.\n3. Substitute c = o + 12 to u, which gives u = o + 47.\n4. Substitute o = v + 15 to u, which gives u = v + 62.\n5. Substitute v = l + 9 to u, which gives u = l + 71.\n6. Substitute l = 19 to u, which gives u = 90.\n\nThus, the final answer is u = \\boxed{90}.",
"index": 14117,
"question": "Suppose a collection of variables is related by the following definitions: i = j + 4; n = m + 19; v = l + 9; c = o + 12; m = i + 16; o = v + 15; u = z + 12; f = c + 12; g = n + 18; z = f + 11; j = r + 4; l = 19; r = l + 18. Given that l = 19, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 11", "w": "e + 9", "v": "w + 10", "y": "v + 3", "j": "y + 13", "q": "j + 18", "k": "n + 4", "r": "k + 4", "h": "r + 5", "g": "h + 7", "x": "g + 19", "i": "x + 5", "n": 17}, "premises": {"n": 17}, "target": "q"}, "answer": {"steps": [["j", "y + 13", "y + 31"], ["y", "v + 3", "v + 34"], ["v", "w + 10", "w + 44"], ["w", "e + 9", "e + 53"], ["e", "n + 11", "n + 64"], ["n", 17, "81"]], "target_var_name": "q", "target_value": 81, "value_dict": {"n": 17}, "is_reverse": true}} | 14,118 | 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 = n + 11; k = n + 4; x = g + 19; r = k + 4; q = j + 18; h = r + 5; i = x + 5; v = w + 10; y = v + 3; w = e + 9; n = 17; g = h + 7; j = y + 13. If n = 17, what is the resulting value of q?",
"role": "user"... | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 13 to q, which gives q = y + 31.\n2. Substitute y = v + 3 to q, which gives q = v + 34.\n3. Substitute v = w + 10 to q, which gives q = w + 44.\n4. Substitute w = e + 9 to q, which gives q = e + 53.\n5. Substitute e = n + 11 to q, which gives q = n + 64.\n6. Substitute n = 17 to q, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 14118,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = n + 11; k = n + 4; x = g + 19; r = k + 4; q = j + 18; h = r + 5; i = x + 5; v = w + 10; y = v + 3; w = e + 9; n = 17; g = h + 7; j = y + 13. If n = 17, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"q": "m + 20", "p": "q + 11", "x": "p + 10", "y": "x + 6", "k": "y + 8", "r": "k + 9", "s": "m + 12", "g": "s + 9", "o": "g + 4", "f": "o + 2", "z": "f + 9", "t": "z + 10", "m": 19}, "premises": {"m": 19}, "target": "r"}, "answer": {"steps": [["k", "y + 8", "y + 17"], ["y", "x + 6", "x + 23"], ["x", "p + 10", "p + 33"], ["p", "q + 11", "q + 44"], ["q", "m + 20", "m + 64"], ["m", 19, "83"]], "target_var_name": "r", "target_value": 83, "value_dict": {"m": 19}, "is_reverse": true}} | 14,119 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = m + 12; y = x + 6; x = p + 10; p = q + 11; g = s + 9; o = g + 4; q = m + 20; k = y + 8; t = z + 10; r = k + 9; f = o + 2; z = f + 9; m = 19. If m = 19, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 8 to r, which gives r = y + 17.\n2. Substitute y = x + 6 to r, which gives r = x + 23.\n3. Substitute x = p + 10 to r, which gives r = p + 33.\n4. Substitute p = q + 11 to r, which gives r = q + 44.\n5. Substitute q = m + 20 to r, which gives r = m + 64.\n6. Substitute m = 19 to r, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 14119,
"question": "Consider a system of variables where each variable is defined as follows: s = m + 12; y = x + 6; x = p + 10; p = q + 11; g = s + 9; o = g + 4; q = m + 20; k = y + 8; t = z + 10; r = k + 9; f = o + 2; z = f + 9; m = 19. If m = 19, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 4", "q": "i + 1", "e": "q + 9", "y": "e + 12", "z": "y + 19", "l": "z + 17", "d": "v + 10", "n": "d + 6", "r": "n + 19", "t": "r + 3", "a": "t + 3", "o": "a + 16", "v": 2}, "premises": {"v": 2}, "target": "l"}, "answer": {"steps": [["z", "y + 19", "y + 36"], ["y", "e + 12", "e + 48"], ["e", "q + 9", "q + 57"], ["q", "i + 1", "i + 58"], ["i", "v + 4", "v + 62"], ["v", 2, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"v": 2}, "is_reverse": true}} | 14,120 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = y + 19; e = q + 9; o = a + 16; n = d + 6; r = n + 19; d = v + 10; v = 2; y = e + 12; a = t + 3; i = v + 4; q = i + 1; l = z + 17; t = r + 3. If v = 2, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 19 to l, which gives l = y + 36.\n2. Substitute y = e + 12 to l, which gives l = e + 48.\n3. Substitute e = q + 9 to l, which gives l = q + 57.\n4. Substitute q = i + 1 to l, which gives l = i + 58.\n5. Substitute i = v + 4 to l, which gives l = v + 62.\n6. Substitute v = 2 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 14120,
"question": "Consider a system of variables where each variable is defined as follows: z = y + 19; e = q + 9; o = a + 16; n = d + 6; r = n + 19; d = v + 10; v = 2; y = e + 12; a = t + 3; i = v + 4; q = i + 1; l = z + 17; t = r + 3. If v = 2, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 6", "t": "y + 10", "m": "t + 9", "z": "m + 7", "b": "z + 3", "a": "b + 11", "q": "r + 17", "d": "q + 14", "f": "d + 11", "j": "f + 8", "i": "j + 4", "c": "i + 18", "r": 17}, "premises": {"r": 17}, "target": "a"}, "answer": {"steps": [["b", "z + 3", "z + 14"], ["z", "m + 7", "m + 21"], ["m", "t + 9", "t + 30"], ["t", "y + 10", "y + 40"], ["y", "r + 6", "r + 46"], ["r", 17, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"r": 17}, "is_reverse": true}} | 14,121 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = i + 18; r = 17; b = z + 3; d = q + 14; m = t + 9; j = f + 8; t = y + 10; q = r + 17; z = m + 7; f = d + 11; y = r + 6; a = b + 11; i = j + 4. If r = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 3 to a, which gives a = z + 14.\n2. Substitute z = m + 7 to a, which gives a = m + 21.\n3. Substitute m = t + 9 to a, which gives a = t + 30.\n4. Substitute t = y + 10 to a, which gives a = y + 40.\n5. Substitute y = r + 6 to a, which gives a = r + 46.\n6. Substitute r = 17 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 14121,
"question": "Consider a system of variables where each variable is defined as follows: c = i + 18; r = 17; b = z + 3; d = q + 14; m = t + 9; j = f + 8; t = y + 10; q = r + 17; z = m + 7; f = d + 11; y = r + 6; a = b + 11; i = j + 4. If r = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 16", "m": "r + 13", "q": "m + 6", "l": "q + 1", "c": "l + 7", "x": "c + 4", "f": "j + 7", "g": "f + 14", "h": "g + 13", "y": "h + 8", "v": "y + 11", "b": "v + 9", "j": 1}, "premises": {"j": 1}, "target": "x"}, "answer": {"steps": [["c", "l + 7", "l + 11"], ["l", "q + 1", "q + 12"], ["q", "m + 6", "m + 18"], ["m", "r + 13", "r + 31"], ["r", "j + 16", "j + 47"], ["j", 1, "48"]], "target_var_name": "x", "target_value": 48, "value_dict": {"j": 1}, "is_reverse": true}} | 14,122 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = c + 4; r = j + 16; f = j + 7; m = r + 13; y = h + 8; v = y + 11; h = g + 13; b = v + 9; c = l + 7; l = q + 1; g = f + 14; j = 1; q = m + 6. Given that j = 1, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 7 to x, which gives x = l + 11.\n2. Substitute l = q + 1 to x, which gives x = q + 12.\n3. Substitute q = m + 6 to x, which gives x = m + 18.\n4. Substitute m = r + 13 to x, which gives x = r + 31.\n5. Substitute r = j + 16 to x, which gives x = j + 47.\n6. Substitute j = 1 to x, which gives x = 48.\n\nThus, the final answer is x = \\boxed{48}.",
"index": 14122,
"question": "Suppose a collection of variables is related by the following definitions: x = c + 4; r = j + 16; f = j + 7; m = r + 13; y = h + 8; v = y + 11; h = g + 13; b = v + 9; c = l + 7; l = q + 1; g = f + 14; j = 1; q = m + 6. Given that j = 1, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 5", "g": "w + 17", "t": "g + 13", "l": "t + 1", "q": "l + 5", "k": "q + 3", "b": "p + 3", "v": "b + 4", "u": "v + 9", "j": "u + 2", "c": "j + 4", "h": "c + 12", "p": 17}, "premises": {"p": 17}, "target": "k"}, "answer": {"steps": [["q", "l + 5", "l + 8"], ["l", "t + 1", "t + 9"], ["t", "g + 13", "g + 22"], ["g", "w + 17", "w + 39"], ["w", "p + 5", "p + 44"], ["p", 17, "61"]], "target_var_name": "k", "target_value": 61, "value_dict": {"p": 17}, "is_reverse": true}} | 14,123 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = g + 13; w = p + 5; q = l + 5; l = t + 1; j = u + 2; k = q + 3; v = b + 4; p = 17; b = p + 3; c = j + 4; g = w + 17; h = c + 12; u = v + 9. Given that p = 17, find 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 q = l + 5 to k, which gives k = l + 8.\n2. Substitute l = t + 1 to k, which gives k = t + 9.\n3. Substitute t = g + 13 to k, which gives k = g + 22.\n4. Substitute g = w + 17 to k, which gives k = w + 39.\n5. Substitute w = p + 5 to k, which gives k = p + 44.\n6. Substitute p = 17 to k, which gives k = 61.\n\nThus, the final answer is k = \\boxed{61}.",
"index": 14123,
"question": "Suppose a collection of variables is related by the following definitions: t = g + 13; w = p + 5; q = l + 5; l = t + 1; j = u + 2; k = q + 3; v = b + 4; p = 17; b = p + 3; c = j + 4; g = w + 17; h = c + 12; u = v + 9. Given that p = 17, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 20", "x": "g + 10", "h": "x + 11", "k": "h + 3", "s": "k + 11", "t": "s + 8", "q": "z + 10", "f": "q + 4", "c": "f + 16", "i": "c + 4", "n": "i + 15", "y": "n + 5", "z": 11}, "premises": {"z": 11}, "target": "t"}, "answer": {"steps": [["s", "k + 11", "k + 19"], ["k", "h + 3", "h + 22"], ["h", "x + 11", "x + 33"], ["x", "g + 10", "g + 43"], ["g", "z + 20", "z + 63"], ["z", 11, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"z": 11}, "is_reverse": true}} | 14,124 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = h + 3; f = q + 4; n = i + 15; q = z + 10; g = z + 20; s = k + 11; h = x + 11; i = c + 4; x = g + 10; c = f + 16; t = s + 8; z = 11; y = n + 5. Given that z = 11, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 11 to t, which gives t = k + 19.\n2. Substitute k = h + 3 to t, which gives t = h + 22.\n3. Substitute h = x + 11 to t, which gives t = x + 33.\n4. Substitute x = g + 10 to t, which gives t = g + 43.\n5. Substitute g = z + 20 to t, which gives t = z + 63.\n6. Substitute z = 11 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 14124,
"question": "Suppose a collection of variables is related by the following definitions: k = h + 3; f = q + 4; n = i + 15; q = z + 10; g = z + 20; s = k + 11; h = x + 11; i = c + 4; x = g + 10; c = f + 16; t = s + 8; z = 11; y = n + 5. Given that z = 11, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 15", "r": "j + 4", "g": "r + 2", "d": "g + 3", "n": "d + 18", "x": "n + 3", "l": "h + 16", "t": "l + 17", "u": "t + 19", "c": "u + 15", "z": "c + 19", "m": "z + 17", "h": 11}, "premises": {"h": 11}, "target": "x"}, "answer": {"steps": [["n", "d + 18", "d + 21"], ["d", "g + 3", "g + 24"], ["g", "r + 2", "r + 26"], ["r", "j + 4", "j + 30"], ["j", "h + 15", "h + 45"], ["h", 11, "56"]], "target_var_name": "x", "target_value": 56, "value_dict": {"h": 11}, "is_reverse": true}} | 14,125 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = 11; u = t + 19; n = d + 18; g = r + 2; d = g + 3; j = h + 15; r = j + 4; z = c + 19; m = z + 17; c = u + 15; x = n + 3; t = l + 17; l = h + 16. If h = 11, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 18 to x, which gives x = d + 21.\n2. Substitute d = g + 3 to x, which gives x = g + 24.\n3. Substitute g = r + 2 to x, which gives x = r + 26.\n4. Substitute r = j + 4 to x, which gives x = j + 30.\n5. Substitute j = h + 15 to x, which gives x = h + 45.\n6. Substitute h = 11 to x, which gives x = 56.\n\nThus, the final answer is x = \\boxed{56}.",
"index": 14125,
"question": "Consider a system of variables where each variable is defined as follows: h = 11; u = t + 19; n = d + 18; g = r + 2; d = g + 3; j = h + 15; r = j + 4; z = c + 19; m = z + 17; c = u + 15; x = n + 3; t = l + 17; l = h + 16. If h = 11, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 14", "i": "a + 13", "o": "i + 6", "h": "o + 6", "e": "h + 1", "s": "e + 7", "w": "y + 14", "l": "w + 10", "v": "l + 8", "m": "v + 11", "f": "m + 19", "z": "f + 2", "y": 9}, "premises": {"y": 9}, "target": "s"}, "answer": {"steps": [["e", "h + 1", "h + 8"], ["h", "o + 6", "o + 14"], ["o", "i + 6", "i + 20"], ["i", "a + 13", "a + 33"], ["a", "y + 14", "y + 47"], ["y", 9, "56"]], "target_var_name": "s", "target_value": 56, "value_dict": {"y": 9}, "is_reverse": true}} | 14,126 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = l + 8; y = 9; i = a + 13; h = o + 6; a = y + 14; w = y + 14; l = w + 10; o = i + 6; e = h + 1; f = m + 19; z = f + 2; s = e + 7; m = v + 11. If y = 9, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 1 to s, which gives s = h + 8.\n2. Substitute h = o + 6 to s, which gives s = o + 14.\n3. Substitute o = i + 6 to s, which gives s = i + 20.\n4. Substitute i = a + 13 to s, which gives s = a + 33.\n5. Substitute a = y + 14 to s, which gives s = y + 47.\n6. Substitute y = 9 to s, which gives s = 56.\n\nThus, the final answer is s = \\boxed{56}.",
"index": 14126,
"question": "Consider a system of variables where each variable is defined as follows: v = l + 8; y = 9; i = a + 13; h = o + 6; a = y + 14; w = y + 14; l = w + 10; o = i + 6; e = h + 1; f = m + 19; z = f + 2; s = e + 7; m = v + 11. If y = 9, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 17", "e": "i + 14", "v": "e + 15", "d": "v + 4", "w": "d + 6", "o": "w + 10", "x": "n + 15", "j": "x + 15", "q": "j + 3", "s": "q + 5", "h": "s + 20", "t": "h + 4", "n": 4}, "premises": {"n": 4}, "target": "o"}, "answer": {"steps": [["w", "d + 6", "d + 16"], ["d", "v + 4", "v + 20"], ["v", "e + 15", "e + 35"], ["e", "i + 14", "i + 49"], ["i", "n + 17", "n + 66"], ["n", 4, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"n": 4}, "is_reverse": true}} | 14,127 | 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 = i + 14; v = e + 15; t = h + 4; x = n + 15; h = s + 20; q = j + 3; j = x + 15; w = d + 6; n = 4; s = q + 5; i = n + 17; d = v + 4; o = w + 10. If n = 4, what is the resulting value of o?",
"role": "user"... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 6 to o, which gives o = d + 16.\n2. Substitute d = v + 4 to o, which gives o = v + 20.\n3. Substitute v = e + 15 to o, which gives o = e + 35.\n4. Substitute e = i + 14 to o, which gives o = i + 49.\n5. Substitute i = n + 17 to o, which gives o = n + 66.\n6. Substitute n = 4 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 14127,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 14; v = e + 15; t = h + 4; x = n + 15; h = s + 20; q = j + 3; j = x + 15; w = d + 6; n = 4; s = q + 5; i = n + 17; d = v + 4; o = w + 10. If n = 4, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 7", "v": "f + 11", "o": "v + 2", "e": "o + 7", "g": "e + 14", "t": "g + 11", "q": "c + 19", "k": "q + 13", "w": "k + 7", "i": "w + 5", "b": "i + 17", "h": "b + 3", "c": 13}, "premises": {"c": 13}, "target": "t"}, "answer": {"steps": [["g", "e + 14", "e + 25"], ["e", "o + 7", "o + 32"], ["o", "v + 2", "v + 34"], ["v", "f + 11", "f + 45"], ["f", "c + 7", "c + 52"], ["c", 13, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"c": 13}, "is_reverse": true}} | 14,128 | 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 = c + 7; b = i + 17; h = b + 3; e = o + 7; o = v + 2; g = e + 14; w = k + 7; c = 13; q = c + 19; v = f + 11; i = w + 5; t = g + 11; k = q + 13. If c = 13, what is the resulting value of t?",
"role": "user... | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 14 to t, which gives t = e + 25.\n2. Substitute e = o + 7 to t, which gives t = o + 32.\n3. Substitute o = v + 2 to t, which gives t = v + 34.\n4. Substitute v = f + 11 to t, which gives t = f + 45.\n5. Substitute f = c + 7 to t, which gives t = c + 52.\n6. Substitute c = 13 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 14128,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = c + 7; b = i + 17; h = b + 3; e = o + 7; o = v + 2; g = e + 14; w = k + 7; c = 13; q = c + 19; v = f + 11; i = w + 5; t = g + 11; k = q + 13. If c = 13, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 18", "h": "c + 4", "k": "h + 8", "n": "k + 15", "m": "n + 20", "b": "m + 19", "j": "s + 15", "p": "j + 13", "g": "p + 5", "w": "g + 16", "a": "w + 20", "q": "a + 18", "s": 9}, "premises": {"s": 9}, "target": "b"}, "answer": {"steps": [["m", "n + 20", "n + 39"], ["n", "k + 15", "k + 54"], ["k", "h + 8", "h + 62"], ["h", "c + 4", "c + 66"], ["c", "s + 18", "s + 84"], ["s", 9, "93"]], "target_var_name": "b", "target_value": 93, "value_dict": {"s": 9}, "is_reverse": true}} | 14,129 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = a + 18; g = p + 5; s = 9; k = h + 8; m = n + 20; c = s + 18; a = w + 20; j = s + 15; w = g + 16; h = c + 4; n = k + 15; b = m + 19; p = j + 13. If s = 9, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 20 to b, which gives b = n + 39.\n2. Substitute n = k + 15 to b, which gives b = k + 54.\n3. Substitute k = h + 8 to b, which gives b = h + 62.\n4. Substitute h = c + 4 to b, which gives b = c + 66.\n5. Substitute c = s + 18 to b, which gives b = s + 84.\n6. Substitute s = 9 to b, which gives b = 93.\n\nThus, the final answer is b = \\boxed{93}.",
"index": 14129,
"question": "Consider a system of variables where each variable is defined as follows: q = a + 18; g = p + 5; s = 9; k = h + 8; m = n + 20; c = s + 18; a = w + 20; j = s + 15; w = g + 16; h = c + 4; n = k + 15; b = m + 19; p = j + 13. If s = 9, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 10", "w": "c + 9", "h": "w + 18", "b": "h + 9", "d": "b + 5", "e": "d + 7", "x": "v + 7", "i": "x + 10", "q": "i + 10", "g": "q + 19", "l": "g + 6", "t": "l + 19", "v": 6}, "premises": {"v": 6}, "target": "e"}, "answer": {"steps": [["d", "b + 5", "b + 12"], ["b", "h + 9", "h + 21"], ["h", "w + 18", "w + 39"], ["w", "c + 9", "c + 48"], ["c", "v + 10", "v + 58"], ["v", 6, "64"]], "target_var_name": "e", "target_value": 64, "value_dict": {"v": 6}, "is_reverse": true}} | 14,130 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = w + 18; t = l + 19; l = g + 6; e = d + 7; x = v + 7; d = b + 5; b = h + 9; v = 6; g = q + 19; c = v + 10; q = i + 10; i = x + 10; w = c + 9. Given that v = 6, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 5 to e, which gives e = b + 12.\n2. Substitute b = h + 9 to e, which gives e = h + 21.\n3. Substitute h = w + 18 to e, which gives e = w + 39.\n4. Substitute w = c + 9 to e, which gives e = c + 48.\n5. Substitute c = v + 10 to e, which gives e = v + 58.\n6. Substitute v = 6 to e, which gives e = 64.\n\nThus, the final answer is e = \\boxed{64}.",
"index": 14130,
"question": "Suppose a collection of variables is related by the following definitions: h = w + 18; t = l + 19; l = g + 6; e = d + 7; x = v + 7; d = b + 5; b = h + 9; v = 6; g = q + 19; c = v + 10; q = i + 10; i = x + 10; w = c + 9. Given that v = 6, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 5", "z": "c + 3", "g": "z + 8", "m": "g + 10", "q": "m + 10", "b": "q + 10", "e": "n + 13", "t": "e + 17", "s": "t + 11", "u": "s + 6", "x": "u + 4", "j": "x + 6", "n": 8}, "premises": {"n": 8}, "target": "b"}, "answer": {"steps": [["q", "m + 10", "m + 20"], ["m", "g + 10", "g + 30"], ["g", "z + 8", "z + 38"], ["z", "c + 3", "c + 41"], ["c", "n + 5", "n + 46"], ["n", 8, "54"]], "target_var_name": "b", "target_value": 54, "value_dict": {"n": 8}, "is_reverse": true}} | 14,131 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = g + 10; t = e + 17; s = t + 11; e = n + 13; b = q + 10; x = u + 4; q = m + 10; u = s + 6; c = n + 5; n = 8; g = z + 8; j = x + 6; z = c + 3. If n = 8, what is the resulting value of b?",
"role": "user"
... | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 10 to b, which gives b = m + 20.\n2. Substitute m = g + 10 to b, which gives b = g + 30.\n3. Substitute g = z + 8 to b, which gives b = z + 38.\n4. Substitute z = c + 3 to b, which gives b = c + 41.\n5. Substitute c = n + 5 to b, which gives b = n + 46.\n6. Substitute n = 8 to b, which gives b = 54.\n\nThus, the final answer is b = \\boxed{54}.",
"index": 14131,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = g + 10; t = e + 17; s = t + 11; e = n + 13; b = q + 10; x = u + 4; q = m + 10; u = s + 6; c = n + 5; n = 8; g = z + 8; j = x + 6; z = c + 3. If n = 8, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"p": "q + 18", "m": "p + 13", "n": "m + 13", "a": "n + 10", "w": "a + 16", "s": "w + 5", "j": "q + 17", "z": "j + 15", "g": "z + 16", "k": "g + 7", "f": "k + 5", "i": "f + 11", "q": 14}, "premises": {"q": 14}, "target": "s"}, "answer": {"steps": [["w", "a + 16", "a + 21"], ["a", "n + 10", "n + 31"], ["n", "m + 13", "m + 44"], ["m", "p + 13", "p + 57"], ["p", "q + 18", "q + 75"], ["q", 14, "89"]], "target_var_name": "s", "target_value": 89, "value_dict": {"q": 14}, "is_reverse": true}} | 14,132 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 14; a = n + 10; z = j + 15; f = k + 5; s = w + 5; k = g + 7; i = f + 11; j = q + 17; n = m + 13; w = a + 16; g = z + 16; m = p + 13; p = q + 18. If q = 14, 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 w = a + 16 to s, which gives s = a + 21.\n2. Substitute a = n + 10 to s, which gives s = n + 31.\n3. Substitute n = m + 13 to s, which gives s = m + 44.\n4. Substitute m = p + 13 to s, which gives s = p + 57.\n5. Substitute p = q + 18 to s, which gives s = q + 75.\n6. Substitute q = 14 to s, which gives s = 89.\n\nThus, the final answer is s = \\boxed{89}.",
"index": 14132,
"question": "Consider a system of variables where each variable is defined as follows: q = 14; a = n + 10; z = j + 15; f = k + 5; s = w + 5; k = g + 7; i = f + 11; j = q + 17; n = m + 13; w = a + 16; g = z + 16; m = p + 13; p = q + 18. If q = 14, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 15", "t": "c + 20", "b": "t + 8", "i": "b + 20", "p": "i + 2", "u": "p + 11", "q": "r + 10", "y": "q + 15", "e": "y + 8", "z": "e + 1", "x": "z + 3", "v": "x + 1", "r": 6}, "premises": {"r": 6}, "target": "u"}, "answer": {"steps": [["p", "i + 2", "i + 13"], ["i", "b + 20", "b + 33"], ["b", "t + 8", "t + 41"], ["t", "c + 20", "c + 61"], ["c", "r + 15", "r + 76"], ["r", 6, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"r": 6}, "is_reverse": true}} | 14,133 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = 6; v = x + 1; y = q + 15; c = r + 15; t = c + 20; z = e + 1; x = z + 3; b = t + 8; e = y + 8; i = b + 20; q = r + 10; p = i + 2; u = p + 11. Given that r = 6, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 2 to u, which gives u = i + 13.\n2. Substitute i = b + 20 to u, which gives u = b + 33.\n3. Substitute b = t + 8 to u, which gives u = t + 41.\n4. Substitute t = c + 20 to u, which gives u = c + 61.\n5. Substitute c = r + 15 to u, which gives u = r + 76.\n6. Substitute r = 6 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 14133,
"question": "Suppose a collection of variables is related by the following definitions: r = 6; v = x + 1; y = q + 15; c = r + 15; t = c + 20; z = e + 1; x = z + 3; b = t + 8; e = y + 8; i = b + 20; q = r + 10; p = i + 2; u = p + 11. Given that r = 6, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"h": "b + 5", "s": "h + 3", "a": "s + 19", "t": "a + 5", "y": "t + 19", "c": "y + 7", "f": "b + 18", "x": "f + 11", "d": "x + 5", "p": "d + 7", "j": "p + 6", "q": "j + 7", "b": 2}, "premises": {"b": 2}, "target": "c"}, "answer": {"steps": [["y", "t + 19", "t + 26"], ["t", "a + 5", "a + 31"], ["a", "s + 19", "s + 50"], ["s", "h + 3", "h + 53"], ["h", "b + 5", "b + 58"], ["b", 2, "60"]], "target_var_name": "c", "target_value": 60, "value_dict": {"b": 2}, "is_reverse": true}} | 14,134 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 3; t = a + 5; p = d + 7; h = b + 5; y = t + 19; f = b + 18; a = s + 19; q = j + 7; b = 2; d = x + 5; c = y + 7; j = p + 6; x = f + 11. If b = 2, what is the resulting value of c?",
"role": "user"
... | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 19 to c, which gives c = t + 26.\n2. Substitute t = a + 5 to c, which gives c = a + 31.\n3. Substitute a = s + 19 to c, which gives c = s + 50.\n4. Substitute s = h + 3 to c, which gives c = h + 53.\n5. Substitute h = b + 5 to c, which gives c = b + 58.\n6. Substitute b = 2 to c, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 14134,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 3; t = a + 5; p = d + 7; h = b + 5; y = t + 19; f = b + 18; a = s + 19; q = j + 7; b = 2; d = x + 5; c = y + 7; j = p + 6; x = f + 11. If b = 2, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 2", "v": "m + 6", "h": "v + 15", "s": "h + 11", "j": "s + 9", "w": "j + 8", "d": "g + 10", "o": "d + 3", "u": "o + 16", "z": "u + 6", "t": "z + 2", "q": "t + 16", "g": 2}, "premises": {"g": 2}, "target": "w"}, "answer": {"steps": [["j", "s + 9", "s + 17"], ["s", "h + 11", "h + 28"], ["h", "v + 15", "v + 43"], ["v", "m + 6", "m + 49"], ["m", "g + 2", "g + 51"], ["g", 2, "53"]], "target_var_name": "w", "target_value": 53, "value_dict": {"g": 2}, "is_reverse": true}} | 14,135 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = h + 11; o = d + 3; v = m + 6; w = j + 8; j = s + 9; d = g + 10; z = u + 6; u = o + 16; g = 2; h = v + 15; q = t + 16; m = g + 2; t = z + 2. Given that g = 2, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 9 to w, which gives w = s + 17.\n2. Substitute s = h + 11 to w, which gives w = h + 28.\n3. Substitute h = v + 15 to w, which gives w = v + 43.\n4. Substitute v = m + 6 to w, which gives w = m + 49.\n5. Substitute m = g + 2 to w, which gives w = g + 51.\n6. Substitute g = 2 to w, which gives w = 53.\n\nThus, the final answer is w = \\boxed{53}.",
"index": 14135,
"question": "Suppose a collection of variables is related by the following definitions: s = h + 11; o = d + 3; v = m + 6; w = j + 8; j = s + 9; d = g + 10; z = u + 6; u = o + 16; g = 2; h = v + 15; q = t + 16; m = g + 2; t = z + 2. Given that g = 2, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"y": "a + 12", "u": "y + 19", "x": "u + 8", "q": "x + 16", "r": "q + 11", "c": "r + 14", "j": "a + 4", "l": "j + 9", "h": "l + 14", "p": "h + 13", "k": "p + 12", "z": "k + 18", "a": 19}, "premises": {"a": 19}, "target": "c"}, "answer": {"steps": [["r", "q + 11", "q + 25"], ["q", "x + 16", "x + 41"], ["x", "u + 8", "u + 49"], ["u", "y + 19", "y + 68"], ["y", "a + 12", "a + 80"], ["a", 19, "99"]], "target_var_name": "c", "target_value": 99, "value_dict": {"a": 19}, "is_reverse": true}} | 14,136 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = p + 12; u = y + 19; x = u + 8; y = a + 12; c = r + 14; h = l + 14; l = j + 9; r = q + 11; z = k + 18; q = x + 16; a = 19; j = a + 4; p = h + 13. Given that a = 19, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 11 to c, which gives c = q + 25.\n2. Substitute q = x + 16 to c, which gives c = x + 41.\n3. Substitute x = u + 8 to c, which gives c = u + 49.\n4. Substitute u = y + 19 to c, which gives c = y + 68.\n5. Substitute y = a + 12 to c, which gives c = a + 80.\n6. Substitute a = 19 to c, which gives c = 99.\n\nThus, the final answer is c = \\boxed{99}.",
"index": 14136,
"question": "Suppose a collection of variables is related by the following definitions: k = p + 12; u = y + 19; x = u + 8; y = a + 12; c = r + 14; h = l + 14; l = j + 9; r = q + 11; z = k + 18; q = x + 16; a = 19; j = a + 4; p = h + 13. Given that a = 19, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 17", "o": "c + 9", "s": "o + 15", "m": "s + 8", "i": "m + 12", "n": "i + 18", "y": "w + 18", "k": "y + 20", "z": "k + 6", "g": "z + 4", "l": "g + 10", "p": "l + 5", "w": 13}, "premises": {"w": 13}, "target": "n"}, "answer": {"steps": [["i", "m + 12", "m + 30"], ["m", "s + 8", "s + 38"], ["s", "o + 15", "o + 53"], ["o", "c + 9", "c + 62"], ["c", "w + 17", "w + 79"], ["w", 13, "92"]], "target_var_name": "n", "target_value": 92, "value_dict": {"w": 13}, "is_reverse": true}} | 14,137 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = g + 10; g = z + 4; y = w + 18; k = y + 20; c = w + 17; o = c + 9; i = m + 12; m = s + 8; z = k + 6; p = l + 5; s = o + 15; n = i + 18; w = 13. If w = 13, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 12 to n, which gives n = m + 30.\n2. Substitute m = s + 8 to n, which gives n = s + 38.\n3. Substitute s = o + 15 to n, which gives n = o + 53.\n4. Substitute o = c + 9 to n, which gives n = c + 62.\n5. Substitute c = w + 17 to n, which gives n = w + 79.\n6. Substitute w = 13 to n, which gives n = 92.\n\nThus, the final answer is n = \\boxed{92}.",
"index": 14137,
"question": "Consider a system of variables where each variable is defined as follows: l = g + 10; g = z + 4; y = w + 18; k = y + 20; c = w + 17; o = c + 9; i = m + 12; m = s + 8; z = k + 6; p = l + 5; s = o + 15; n = i + 18; w = 13. If w = 13, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"j": "d + 6", "z": "j + 3", "q": "z + 11", "x": "q + 8", "h": "x + 8", "u": "h + 4", "m": "d + 18", "b": "m + 14", "f": "b + 8", "l": "f + 2", "g": "l + 18", "e": "g + 13", "d": 14}, "premises": {"d": 14}, "target": "u"}, "answer": {"steps": [["h", "x + 8", "x + 12"], ["x", "q + 8", "q + 20"], ["q", "z + 11", "z + 31"], ["z", "j + 3", "j + 34"], ["j", "d + 6", "d + 40"], ["d", 14, "54"]], "target_var_name": "u", "target_value": 54, "value_dict": {"d": 14}, "is_reverse": true}} | 14,138 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = b + 8; x = q + 8; j = d + 6; g = l + 18; e = g + 13; z = j + 3; h = x + 8; m = d + 18; q = z + 11; d = 14; b = m + 14; l = f + 2; u = h + 4. If d = 14, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 8 to u, which gives u = x + 12.\n2. Substitute x = q + 8 to u, which gives u = q + 20.\n3. Substitute q = z + 11 to u, which gives u = z + 31.\n4. Substitute z = j + 3 to u, which gives u = j + 34.\n5. Substitute j = d + 6 to u, which gives u = d + 40.\n6. Substitute d = 14 to u, which gives u = 54.\n\nThus, the final answer is u = \\boxed{54}.",
"index": 14138,
"question": "Consider a system of variables where each variable is defined as follows: f = b + 8; x = q + 8; j = d + 6; g = l + 18; e = g + 13; z = j + 3; h = x + 8; m = d + 18; q = z + 11; d = 14; b = m + 14; l = f + 2; u = h + 4. If d = 14, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"i": "p + 4", "a": "i + 2", "c": "a + 16", "k": "c + 11", "d": "k + 2", "b": "d + 1", "f": "p + 13", "m": "f + 8", "t": "m + 16", "o": "t + 19", "v": "o + 19", "q": "v + 19", "p": 4}, "premises": {"p": 4}, "target": "b"}, "answer": {"steps": [["d", "k + 2", "k + 3"], ["k", "c + 11", "c + 14"], ["c", "a + 16", "a + 30"], ["a", "i + 2", "i + 32"], ["i", "p + 4", "p + 36"], ["p", 4, "40"]], "target_var_name": "b", "target_value": 40, "value_dict": {"p": 4}, "is_reverse": true}} | 14,139 | 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 = o + 19; p = 4; c = a + 16; b = d + 1; q = v + 19; f = p + 13; i = p + 4; o = t + 19; a = i + 2; m = f + 8; d = k + 2; k = c + 11; t = m + 16. If p = 4, what is the resulting value of b?",
"role": "user"... | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 2 to b, which gives b = k + 3.\n2. Substitute k = c + 11 to b, which gives b = c + 14.\n3. Substitute c = a + 16 to b, which gives b = a + 30.\n4. Substitute a = i + 2 to b, which gives b = i + 32.\n5. Substitute i = p + 4 to b, which gives b = p + 36.\n6. Substitute p = 4 to b, which gives b = 40.\n\nThus, the final answer is b = \\boxed{40}.",
"index": 14139,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = o + 19; p = 4; c = a + 16; b = d + 1; q = v + 19; f = p + 13; i = p + 4; o = t + 19; a = i + 2; m = f + 8; d = k + 2; k = c + 11; t = m + 16. If p = 4, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 9", "l": "x + 15", "g": "l + 16", "u": "g + 19", "w": "u + 18", "t": "w + 16", "c": "i + 11", "j": "c + 6", "p": "j + 5", "b": "p + 3", "v": "b + 18", "k": "v + 4", "i": 11}, "premises": {"i": 11}, "target": "t"}, "answer": {"steps": [["w", "u + 18", "u + 34"], ["u", "g + 19", "g + 53"], ["g", "l + 16", "l + 69"], ["l", "x + 15", "x + 84"], ["x", "i + 9", "i + 93"], ["i", 11, "104"]], "target_var_name": "t", "target_value": 104, "value_dict": {"i": 11}, "is_reverse": true}} | 14,140 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = g + 19; x = i + 9; g = l + 16; t = w + 16; v = b + 18; c = i + 11; j = c + 6; w = u + 18; l = x + 15; k = v + 4; p = j + 5; b = p + 3; i = 11. If i = 11, what is the resulting value of t?",
"role": "use... | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 18 to t, which gives t = u + 34.\n2. Substitute u = g + 19 to t, which gives t = g + 53.\n3. Substitute g = l + 16 to t, which gives t = l + 69.\n4. Substitute l = x + 15 to t, which gives t = x + 84.\n5. Substitute x = i + 9 to t, which gives t = i + 93.\n6. Substitute i = 11 to t, which gives t = 104.\n\nThus, the final answer is t = \\boxed{104}.",
"index": 14140,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = g + 19; x = i + 9; g = l + 16; t = w + 16; v = b + 18; c = i + 11; j = c + 6; w = u + 18; l = x + 15; k = v + 4; p = j + 5; b = p + 3; i = 11. If i = 11, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 4", "l": "w + 3", "z": "l + 16", "g": "z + 8", "f": "g + 1", "x": "f + 15", "s": "d + 2", "b": "s + 2", "j": "b + 20", "y": "j + 5", "v": "y + 16", "i": "v + 9", "d": 18}, "premises": {"d": 18}, "target": "x"}, "answer": {"steps": [["f", "g + 1", "g + 16"], ["g", "z + 8", "z + 24"], ["z", "l + 16", "l + 40"], ["l", "w + 3", "w + 43"], ["w", "d + 4", "d + 47"], ["d", 18, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"d": 18}, "is_reverse": true}} | 14,141 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = w + 3; v = y + 16; y = j + 5; s = d + 2; z = l + 16; w = d + 4; d = 18; g = z + 8; x = f + 15; i = v + 9; f = g + 1; b = s + 2; j = b + 20. Given that d = 18, find 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 f = g + 1 to x, which gives x = g + 16.\n2. Substitute g = z + 8 to x, which gives x = z + 24.\n3. Substitute z = l + 16 to x, which gives x = l + 40.\n4. Substitute l = w + 3 to x, which gives x = w + 43.\n5. Substitute w = d + 4 to x, which gives x = d + 47.\n6. Substitute d = 18 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 14141,
"question": "Suppose a collection of variables is related by the following definitions: l = w + 3; v = y + 16; y = j + 5; s = d + 2; z = l + 16; w = d + 4; d = 18; g = z + 8; x = f + 15; i = v + 9; f = g + 1; b = s + 2; j = b + 20. Given that d = 18, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 1", "m": "e + 5", "l": "m + 6", "y": "l + 9", "x": "y + 8", "z": "x + 11", "w": "a + 15", "n": "w + 3", "h": "n + 7", "d": "h + 13", "r": "d + 19", "f": "r + 13", "a": 16}, "premises": {"a": 16}, "target": "z"}, "answer": {"steps": [["x", "y + 8", "y + 19"], ["y", "l + 9", "l + 28"], ["l", "m + 6", "m + 34"], ["m", "e + 5", "e + 39"], ["e", "a + 1", "a + 40"], ["a", 16, "56"]], "target_var_name": "z", "target_value": 56, "value_dict": {"a": 16}, "is_reverse": true}} | 14,142 | 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 + 6; f = r + 13; d = h + 13; r = d + 19; y = l + 9; n = w + 3; m = e + 5; a = 16; h = n + 7; e = a + 1; z = x + 11; w = a + 15; x = y + 8. If a = 16, what is the resulting value of z?",
"role": "user"... | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 8 to z, which gives z = y + 19.\n2. Substitute y = l + 9 to z, which gives z = l + 28.\n3. Substitute l = m + 6 to z, which gives z = m + 34.\n4. Substitute m = e + 5 to z, which gives z = e + 39.\n5. Substitute e = a + 1 to z, which gives z = a + 40.\n6. Substitute a = 16 to z, which gives z = 56.\n\nThus, the final answer is z = \\boxed{56}.",
"index": 14142,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = m + 6; f = r + 13; d = h + 13; r = d + 19; y = l + 9; n = w + 3; m = e + 5; a = 16; h = n + 7; e = a + 1; z = x + 11; w = a + 15; x = y + 8. If a = 16, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 20", "y": "z + 13", "x": "y + 1", "o": "x + 11", "t": "o + 13", "d": "t + 18", "p": "q + 1", "j": "p + 2", "n": "j + 5", "i": "n + 9", "u": "i + 2", "v": "u + 15", "q": 12}, "premises": {"q": 12}, "target": "d"}, "answer": {"steps": [["t", "o + 13", "o + 31"], ["o", "x + 11", "x + 42"], ["x", "y + 1", "y + 43"], ["y", "z + 13", "z + 56"], ["z", "q + 20", "q + 76"], ["q", 12, "88"]], "target_var_name": "d", "target_value": 88, "value_dict": {"q": 12}, "is_reverse": true}} | 14,143 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 20; i = n + 9; t = o + 13; x = y + 1; d = t + 18; p = q + 1; u = i + 2; v = u + 15; q = 12; n = j + 5; o = x + 11; y = z + 13; j = p + 2. If q = 12, what is the resulting value of d?",
"role": "user... | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 13 to d, which gives d = o + 31.\n2. Substitute o = x + 11 to d, which gives d = x + 42.\n3. Substitute x = y + 1 to d, which gives d = y + 43.\n4. Substitute y = z + 13 to d, which gives d = z + 56.\n5. Substitute z = q + 20 to d, which gives d = q + 76.\n6. Substitute q = 12 to d, which gives d = 88.\n\nThus, the final answer is d = \\boxed{88}.",
"index": 14143,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 20; i = n + 9; t = o + 13; x = y + 1; d = t + 18; p = q + 1; u = i + 2; v = u + 15; q = 12; n = j + 5; o = x + 11; y = z + 13; j = p + 2. If q = 12, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 8", "g": "e + 5", "y": "g + 11", "p": "y + 16", "o": "p + 2", "b": "o + 4", "k": "r + 5", "q": "k + 11", "u": "q + 1", "v": "u + 15", "d": "v + 3", "a": "d + 2", "r": 13}, "premises": {"r": 13}, "target": "b"}, "answer": {"steps": [["o", "p + 2", "p + 6"], ["p", "y + 16", "y + 22"], ["y", "g + 11", "g + 33"], ["g", "e + 5", "e + 38"], ["e", "r + 8", "r + 46"], ["r", 13, "59"]], "target_var_name": "b", "target_value": 59, "value_dict": {"r": 13}, "is_reverse": true}} | 14,144 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = k + 11; u = q + 1; d = v + 3; g = e + 5; e = r + 8; b = o + 4; r = 13; v = u + 15; o = p + 2; p = y + 16; k = r + 5; y = g + 11; a = d + 2. Given that r = 13, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 2 to b, which gives b = p + 6.\n2. Substitute p = y + 16 to b, which gives b = y + 22.\n3. Substitute y = g + 11 to b, which gives b = g + 33.\n4. Substitute g = e + 5 to b, which gives b = e + 38.\n5. Substitute e = r + 8 to b, which gives b = r + 46.\n6. Substitute r = 13 to b, which gives b = 59.\n\nThus, the final answer is b = \\boxed{59}.",
"index": 14144,
"question": "Suppose a collection of variables is related by the following definitions: q = k + 11; u = q + 1; d = v + 3; g = e + 5; e = r + 8; b = o + 4; r = 13; v = u + 15; o = p + 2; p = y + 16; k = r + 5; y = g + 11; a = d + 2. Given that r = 13, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 5", "v": "w + 16", "t": "v + 16", "l": "t + 6", "b": "l + 11", "h": "b + 14", "u": "p + 4", "k": "u + 11", "e": "k + 10", "x": "e + 16", "f": "x + 12", "n": "f + 12", "p": 9}, "premises": {"p": 9}, "target": "h"}, "answer": {"steps": [["b", "l + 11", "l + 25"], ["l", "t + 6", "t + 31"], ["t", "v + 16", "v + 47"], ["v", "w + 16", "w + 63"], ["w", "p + 5", "p + 68"], ["p", 9, "77"]], "target_var_name": "h", "target_value": 77, "value_dict": {"p": 9}, "is_reverse": true}} | 14,145 | 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 = f + 12; p = 9; l = t + 6; f = x + 12; b = l + 11; t = v + 16; w = p + 5; u = p + 4; h = b + 14; e = k + 10; v = w + 16; x = e + 16; k = u + 11. If p = 9, what is the resulting value of h?",
"role": "use... | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 11 to h, which gives h = l + 25.\n2. Substitute l = t + 6 to h, which gives h = t + 31.\n3. Substitute t = v + 16 to h, which gives h = v + 47.\n4. Substitute v = w + 16 to h, which gives h = w + 63.\n5. Substitute w = p + 5 to h, which gives h = p + 68.\n6. Substitute p = 9 to h, which gives h = 77.\n\nThus, the final answer is h = \\boxed{77}.",
"index": 14145,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = f + 12; p = 9; l = t + 6; f = x + 12; b = l + 11; t = v + 16; w = p + 5; u = p + 4; h = b + 14; e = k + 10; v = w + 16; x = e + 16; k = u + 11. If p = 9, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 20", "x": "u + 11", "w": "x + 7", "k": "w + 8", "i": "k + 19", "s": "i + 15", "c": "r + 16", "n": "c + 15", "m": "n + 14", "e": "m + 4", "h": "e + 16", "t": "h + 3", "r": 12}, "premises": {"r": 12}, "target": "s"}, "answer": {"steps": [["i", "k + 19", "k + 34"], ["k", "w + 8", "w + 42"], ["w", "x + 7", "x + 49"], ["x", "u + 11", "u + 60"], ["u", "r + 20", "r + 80"], ["r", 12, "92"]], "target_var_name": "s", "target_value": 92, "value_dict": {"r": 12}, "is_reverse": true}} | 14,146 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 14; x = u + 11; i = k + 19; h = e + 16; w = x + 7; c = r + 16; t = h + 3; k = w + 8; r = 12; u = r + 20; s = i + 15; e = m + 4; n = c + 15. If r = 12, what is the resulting value of s?",
"role": "us... | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 19 to s, which gives s = k + 34.\n2. Substitute k = w + 8 to s, which gives s = w + 42.\n3. Substitute w = x + 7 to s, which gives s = x + 49.\n4. Substitute x = u + 11 to s, which gives s = u + 60.\n5. Substitute u = r + 20 to s, which gives s = r + 80.\n6. Substitute r = 12 to s, which gives s = 92.\n\nThus, the final answer is s = \\boxed{92}.",
"index": 14146,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 14; x = u + 11; i = k + 19; h = e + 16; w = x + 7; c = r + 16; t = h + 3; k = w + 8; r = 12; u = r + 20; s = i + 15; e = m + 4; n = c + 15. If r = 12, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 15", "r": "b + 20", "g": "r + 6", "d": "g + 19", "l": "d + 13", "o": "l + 13", "m": "c + 13", "z": "m + 11", "n": "z + 10", "k": "n + 5", "s": "k + 12", "x": "s + 1", "c": 7}, "premises": {"c": 7}, "target": "o"}, "answer": {"steps": [["l", "d + 13", "d + 26"], ["d", "g + 19", "g + 45"], ["g", "r + 6", "r + 51"], ["r", "b + 20", "b + 71"], ["b", "c + 15", "c + 86"], ["c", 7, "93"]], "target_var_name": "o", "target_value": 93, "value_dict": {"c": 7}, "is_reverse": true}} | 14,147 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = k + 12; d = g + 19; o = l + 13; k = n + 5; n = z + 10; b = c + 15; r = b + 20; g = r + 6; z = m + 11; l = d + 13; m = c + 13; c = 7; x = s + 1. If c = 7, what is the resulting value of o?",
"role": "use... | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 13 to o, which gives o = d + 26.\n2. Substitute d = g + 19 to o, which gives o = g + 45.\n3. Substitute g = r + 6 to o, which gives o = r + 51.\n4. Substitute r = b + 20 to o, which gives o = b + 71.\n5. Substitute b = c + 15 to o, which gives o = c + 86.\n6. Substitute c = 7 to o, which gives o = 93.\n\nThus, the final answer is o = \\boxed{93}.",
"index": 14147,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = k + 12; d = g + 19; o = l + 13; k = n + 5; n = z + 10; b = c + 15; r = b + 20; g = r + 6; z = m + 11; l = d + 13; m = c + 13; c = 7; x = s + 1. If c = 7, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 20", "u": "z + 10", "d": "u + 14", "p": "d + 20", "a": "p + 2", "k": "a + 4", "n": "e + 13", "q": "n + 7", "l": "q + 14", "w": "l + 10", "y": "w + 19", "j": "y + 10", "e": 5}, "premises": {"e": 5}, "target": "k"}, "answer": {"steps": [["a", "p + 2", "p + 6"], ["p", "d + 20", "d + 26"], ["d", "u + 14", "u + 40"], ["u", "z + 10", "z + 50"], ["z", "e + 20", "e + 70"], ["e", 5, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"e": 5}, "is_reverse": true}} | 14,148 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = n + 7; a = p + 2; d = u + 14; y = w + 19; p = d + 20; e = 5; l = q + 14; j = y + 10; w = l + 10; z = e + 20; n = e + 13; k = a + 4; u = z + 10. If e = 5, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 2 to k, which gives k = p + 6.\n2. Substitute p = d + 20 to k, which gives k = d + 26.\n3. Substitute d = u + 14 to k, which gives k = u + 40.\n4. Substitute u = z + 10 to k, which gives k = z + 50.\n5. Substitute z = e + 20 to k, which gives k = e + 70.\n6. Substitute e = 5 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 14148,
"question": "Consider a system of variables where each variable is defined as follows: q = n + 7; a = p + 2; d = u + 14; y = w + 19; p = d + 20; e = 5; l = q + 14; j = y + 10; w = l + 10; z = e + 20; n = e + 13; k = a + 4; u = z + 10. If e = 5, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"e": "c + 5", "u": "e + 19", "i": "u + 1", "s": "i + 9", "j": "s + 20", "b": "j + 3", "z": "c + 20", "h": "z + 17", "k": "h + 10", "f": "k + 7", "l": "f + 15", "q": "l + 16", "c": 15}, "premises": {"c": 15}, "target": "b"}, "answer": {"steps": [["j", "s + 20", "s + 23"], ["s", "i + 9", "i + 32"], ["i", "u + 1", "u + 33"], ["u", "e + 19", "e + 52"], ["e", "c + 5", "c + 57"], ["c", 15, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"c": 15}, "is_reverse": true}} | 14,149 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 19; z = c + 20; i = u + 1; l = f + 15; s = i + 9; e = c + 5; c = 15; f = k + 7; k = h + 10; j = s + 20; b = j + 3; q = l + 16; h = z + 17. If c = 15, what is the resulting value of b?",
"role": "use... | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 20 to b, which gives b = s + 23.\n2. Substitute s = i + 9 to b, which gives b = i + 32.\n3. Substitute i = u + 1 to b, which gives b = u + 33.\n4. Substitute u = e + 19 to b, which gives b = e + 52.\n5. Substitute e = c + 5 to b, which gives b = c + 57.\n6. Substitute c = 15 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 14149,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 19; z = c + 20; i = u + 1; l = f + 15; s = i + 9; e = c + 5; c = 15; f = k + 7; k = h + 10; j = s + 20; b = j + 3; q = l + 16; h = z + 17. If c = 15, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 5", "s": "r + 10", "k": "s + 16", "z": "k + 18", "c": "z + 20", "p": "c + 11", "q": "v + 16", "x": "q + 1", "o": "x + 10", "y": "o + 7", "g": "y + 4", "t": "g + 14", "v": 19}, "premises": {"v": 19}, "target": "p"}, "answer": {"steps": [["c", "z + 20", "z + 31"], ["z", "k + 18", "k + 49"], ["k", "s + 16", "s + 65"], ["s", "r + 10", "r + 75"], ["r", "v + 5", "v + 80"], ["v", 19, "99"]], "target_var_name": "p", "target_value": 99, "value_dict": {"v": 19}, "is_reverse": true}} | 14,150 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = g + 14; g = y + 4; c = z + 20; r = v + 5; v = 19; k = s + 16; s = r + 10; y = o + 7; p = c + 11; o = x + 10; q = v + 16; z = k + 18; x = q + 1. Given that v = 19, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 20 to p, which gives p = z + 31.\n2. Substitute z = k + 18 to p, which gives p = k + 49.\n3. Substitute k = s + 16 to p, which gives p = s + 65.\n4. Substitute s = r + 10 to p, which gives p = r + 75.\n5. Substitute r = v + 5 to p, which gives p = v + 80.\n6. Substitute v = 19 to p, which gives p = 99.\n\nThus, the final answer is p = \\boxed{99}.",
"index": 14150,
"question": "Suppose a collection of variables is related by the following definitions: t = g + 14; g = y + 4; c = z + 20; r = v + 5; v = 19; k = s + 16; s = r + 10; y = o + 7; p = c + 11; o = x + 10; q = v + 16; z = k + 18; x = q + 1. Given that v = 19, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"c": "i + 20", "a": "c + 20", "o": "a + 19", "y": "o + 19", "v": "y + 2", "t": "v + 6", "g": "i + 8", "z": "g + 4", "k": "z + 7", "e": "k + 4", "b": "e + 3", "q": "b + 19", "i": 14}, "premises": {"i": 14}, "target": "t"}, "answer": {"steps": [["v", "y + 2", "y + 8"], ["y", "o + 19", "o + 27"], ["o", "a + 19", "a + 46"], ["a", "c + 20", "c + 66"], ["c", "i + 20", "i + 86"], ["i", 14, "100"]], "target_var_name": "t", "target_value": 100, "value_dict": {"i": 14}, "is_reverse": true}} | 14,151 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = b + 19; a = c + 20; z = g + 4; i = 14; y = o + 19; t = v + 6; o = a + 19; e = k + 4; v = y + 2; c = i + 20; g = i + 8; b = e + 3; k = z + 7. If i = 14, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 2 to t, which gives t = y + 8.\n2. Substitute y = o + 19 to t, which gives t = o + 27.\n3. Substitute o = a + 19 to t, which gives t = a + 46.\n4. Substitute a = c + 20 to t, which gives t = c + 66.\n5. Substitute c = i + 20 to t, which gives t = i + 86.\n6. Substitute i = 14 to t, which gives t = 100.\n\nThus, the final answer is t = \\boxed{100}.",
"index": 14151,
"question": "Consider a system of variables where each variable is defined as follows: q = b + 19; a = c + 20; z = g + 4; i = 14; y = o + 19; t = v + 6; o = a + 19; e = k + 4; v = y + 2; c = i + 20; g = i + 8; b = e + 3; k = z + 7. If i = 14, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"p": "z + 18", "t": "p + 5", "y": "t + 11", "i": "y + 4", "c": "i + 14", "q": "c + 18", "s": "z + 20", "u": "s + 3", "w": "u + 10", "f": "w + 1", "b": "f + 4", "k": "b + 10", "z": 8}, "premises": {"z": 8}, "target": "q"}, "answer": {"steps": [["c", "i + 14", "i + 32"], ["i", "y + 4", "y + 36"], ["y", "t + 11", "t + 47"], ["t", "p + 5", "p + 52"], ["p", "z + 18", "z + 70"], ["z", 8, "78"]], "target_var_name": "q", "target_value": 78, "value_dict": {"z": 8}, "is_reverse": true}} | 14,152 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = f + 4; i = y + 4; p = z + 18; c = i + 14; f = w + 1; w = u + 10; t = p + 5; y = t + 11; u = s + 3; k = b + 10; z = 8; s = z + 20; q = c + 18. If z = 8, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 14 to q, which gives q = i + 32.\n2. Substitute i = y + 4 to q, which gives q = y + 36.\n3. Substitute y = t + 11 to q, which gives q = t + 47.\n4. Substitute t = p + 5 to q, which gives q = p + 52.\n5. Substitute p = z + 18 to q, which gives q = z + 70.\n6. Substitute z = 8 to q, which gives q = 78.\n\nThus, the final answer is q = \\boxed{78}.",
"index": 14152,
"question": "Consider a system of variables where each variable is defined as follows: b = f + 4; i = y + 4; p = z + 18; c = i + 14; f = w + 1; w = u + 10; t = p + 5; y = t + 11; u = s + 3; k = b + 10; z = 8; s = z + 20; q = c + 18. If z = 8, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 2", "a": "d + 2", "b": "a + 11", "o": "b + 19", "z": "o + 3", "j": "z + 6", "q": "x + 12", "i": "q + 6", "v": "i + 4", "p": "v + 17", "l": "p + 20", "t": "l + 7", "x": 20}, "premises": {"x": 20}, "target": "j"}, "answer": {"steps": [["z", "o + 3", "o + 9"], ["o", "b + 19", "b + 28"], ["b", "a + 11", "a + 39"], ["a", "d + 2", "d + 41"], ["d", "x + 2", "x + 43"], ["x", 20, "63"]], "target_var_name": "j", "target_value": 63, "value_dict": {"x": 20}, "is_reverse": true}} | 14,153 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = d + 2; q = x + 12; p = v + 17; l = p + 20; x = 20; o = b + 19; v = i + 4; i = q + 6; z = o + 3; d = x + 2; b = a + 11; t = l + 7; j = z + 6. Given that x = 20, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 3 to j, which gives j = o + 9.\n2. Substitute o = b + 19 to j, which gives j = b + 28.\n3. Substitute b = a + 11 to j, which gives j = a + 39.\n4. Substitute a = d + 2 to j, which gives j = d + 41.\n5. Substitute d = x + 2 to j, which gives j = x + 43.\n6. Substitute x = 20 to j, which gives j = 63.\n\nThus, the final answer is j = \\boxed{63}.",
"index": 14153,
"question": "Suppose a collection of variables is related by the following definitions: a = d + 2; q = x + 12; p = v + 17; l = p + 20; x = 20; o = b + 19; v = i + 4; i = q + 6; z = o + 3; d = x + 2; b = a + 11; t = l + 7; j = z + 6. Given that x = 20, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 17", "m": "p + 1", "j": "m + 6", "t": "j + 17", "v": "t + 6", "h": "v + 9", "s": "c + 4", "w": "s + 13", "b": "w + 11", "u": "b + 10", "a": "u + 3", "f": "a + 20", "c": 6}, "premises": {"c": 6}, "target": "h"}, "answer": {"steps": [["v", "t + 6", "t + 15"], ["t", "j + 17", "j + 32"], ["j", "m + 6", "m + 38"], ["m", "p + 1", "p + 39"], ["p", "c + 17", "c + 56"], ["c", 6, "62"]], "target_var_name": "h", "target_value": 62, "value_dict": {"c": 6}, "is_reverse": true}} | 14,154 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 6; s = c + 4; h = v + 9; b = w + 11; c = 6; p = c + 17; f = a + 20; u = b + 10; m = p + 1; t = j + 17; j = m + 6; w = s + 13; a = u + 3. If c = 6, what is the resulting value of h?",
"role": "user"
... | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 6 to h, which gives h = t + 15.\n2. Substitute t = j + 17 to h, which gives h = j + 32.\n3. Substitute j = m + 6 to h, which gives h = m + 38.\n4. Substitute m = p + 1 to h, which gives h = p + 39.\n5. Substitute p = c + 17 to h, which gives h = c + 56.\n6. Substitute c = 6 to h, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 14154,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 6; s = c + 4; h = v + 9; b = w + 11; c = 6; p = c + 17; f = a + 20; u = b + 10; m = p + 1; t = j + 17; j = m + 6; w = s + 13; a = u + 3. If c = 6, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 2", "j": "k + 13", "i": "j + 2", "z": "i + 2", "h": "z + 18", "m": "h + 1", "r": "p + 19", "n": "r + 5", "o": "n + 1", "c": "o + 14", "t": "c + 6", "a": "t + 3", "p": 4}, "premises": {"p": 4}, "target": "m"}, "answer": {"steps": [["h", "z + 18", "z + 19"], ["z", "i + 2", "i + 21"], ["i", "j + 2", "j + 23"], ["j", "k + 13", "k + 36"], ["k", "p + 2", "p + 38"], ["p", 4, "42"]], "target_var_name": "m", "target_value": 42, "value_dict": {"p": 4}, "is_reverse": true}} | 14,155 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = p + 19; i = j + 2; p = 4; m = h + 1; t = c + 6; a = t + 3; o = n + 1; j = k + 13; h = z + 18; c = o + 14; n = r + 5; z = i + 2; k = p + 2. Given that p = 4, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 18 to m, which gives m = z + 19.\n2. Substitute z = i + 2 to m, which gives m = i + 21.\n3. Substitute i = j + 2 to m, which gives m = j + 23.\n4. Substitute j = k + 13 to m, which gives m = k + 36.\n5. Substitute k = p + 2 to m, which gives m = p + 38.\n6. Substitute p = 4 to m, which gives m = 42.\n\nThus, the final answer is m = \\boxed{42}.",
"index": 14155,
"question": "Suppose a collection of variables is related by the following definitions: r = p + 19; i = j + 2; p = 4; m = h + 1; t = c + 6; a = t + 3; o = n + 1; j = k + 13; h = z + 18; c = o + 14; n = r + 5; z = i + 2; k = p + 2. Given that p = 4, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 15", "w": "r + 19", "g": "w + 13", "m": "g + 3", "p": "m + 5", "z": "p + 15", "y": "j + 15", "k": "y + 20", "i": "k + 4", "q": "i + 11", "a": "q + 7", "h": "a + 4", "j": 19}, "premises": {"j": 19}, "target": "z"}, "answer": {"steps": [["p", "m + 5", "m + 20"], ["m", "g + 3", "g + 23"], ["g", "w + 13", "w + 36"], ["w", "r + 19", "r + 55"], ["r", "j + 15", "j + 70"], ["j", 19, "89"]], "target_var_name": "z", "target_value": 89, "value_dict": {"j": 19}, "is_reverse": true}} | 14,156 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = p + 15; k = y + 20; q = i + 11; r = j + 15; j = 19; g = w + 13; h = a + 4; a = q + 7; y = j + 15; w = r + 19; i = k + 4; m = g + 3; p = m + 5. Given that j = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 5 to z, which gives z = m + 20.\n2. Substitute m = g + 3 to z, which gives z = g + 23.\n3. Substitute g = w + 13 to z, which gives z = w + 36.\n4. Substitute w = r + 19 to z, which gives z = r + 55.\n5. Substitute r = j + 15 to z, which gives z = j + 70.\n6. Substitute j = 19 to z, which gives z = 89.\n\nThus, the final answer is z = \\boxed{89}.",
"index": 14156,
"question": "Suppose a collection of variables is related by the following definitions: z = p + 15; k = y + 20; q = i + 11; r = j + 15; j = 19; g = w + 13; h = a + 4; a = q + 7; y = j + 15; w = r + 19; i = k + 4; m = g + 3; p = m + 5. Given that j = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 8", "v": "n + 12", "h": "v + 7", "p": "h + 3", "d": "p + 2", "g": "d + 17", "c": "x + 3", "m": "c + 19", "j": "m + 1", "f": "j + 1", "r": "f + 6", "w": "r + 11", "x": 12}, "premises": {"x": 12}, "target": "g"}, "answer": {"steps": [["d", "p + 2", "p + 19"], ["p", "h + 3", "h + 22"], ["h", "v + 7", "v + 29"], ["v", "n + 12", "n + 41"], ["n", "x + 8", "x + 49"], ["x", 12, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"x": 12}, "is_reverse": true}} | 14,157 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = m + 1; v = n + 12; h = v + 7; n = x + 8; w = r + 11; r = f + 6; x = 12; m = c + 19; f = j + 1; p = h + 3; c = x + 3; g = d + 17; d = p + 2. If x = 12, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 2 to g, which gives g = p + 19.\n2. Substitute p = h + 3 to g, which gives g = h + 22.\n3. Substitute h = v + 7 to g, which gives g = v + 29.\n4. Substitute v = n + 12 to g, which gives g = n + 41.\n5. Substitute n = x + 8 to g, which gives g = x + 49.\n6. Substitute x = 12 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 14157,
"question": "Consider a system of variables where each variable is defined as follows: j = m + 1; v = n + 12; h = v + 7; n = x + 8; w = r + 11; r = f + 6; x = 12; m = c + 19; f = j + 1; p = h + 3; c = x + 3; g = d + 17; d = p + 2. If x = 12, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"h": "o + 12", "c": "h + 16", "z": "c + 2", "n": "z + 9", "u": "n + 13", "y": "u + 13", "t": "o + 8", "s": "t + 6", "w": "s + 10", "i": "w + 5", "g": "i + 17", "k": "g + 15", "o": 17}, "premises": {"o": 17}, "target": "y"}, "answer": {"steps": [["u", "n + 13", "n + 26"], ["n", "z + 9", "z + 35"], ["z", "c + 2", "c + 37"], ["c", "h + 16", "h + 53"], ["h", "o + 12", "o + 65"], ["o", 17, "82"]], "target_var_name": "y", "target_value": 82, "value_dict": {"o": 17}, "is_reverse": true}} | 14,158 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = s + 10; n = z + 9; o = 17; c = h + 16; h = o + 12; g = i + 17; z = c + 2; t = o + 8; y = u + 13; i = w + 5; k = g + 15; u = n + 13; s = t + 6. If o = 17, what is the resulting value of y?",
"role": "use... | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 13 to y, which gives y = n + 26.\n2. Substitute n = z + 9 to y, which gives y = z + 35.\n3. Substitute z = c + 2 to y, which gives y = c + 37.\n4. Substitute c = h + 16 to y, which gives y = h + 53.\n5. Substitute h = o + 12 to y, which gives y = o + 65.\n6. Substitute o = 17 to y, which gives y = 82.\n\nThus, the final answer is y = \\boxed{82}.",
"index": 14158,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = s + 10; n = z + 9; o = 17; c = h + 16; h = o + 12; g = i + 17; z = c + 2; t = o + 8; y = u + 13; i = w + 5; k = g + 15; u = n + 13; s = t + 6. If o = 17, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 4", "n": "a + 15", "o": "n + 14", "b": "o + 6", "f": "b + 5", "u": "f + 11", "x": "k + 20", "s": "x + 2", "c": "s + 1", "t": "c + 14", "g": "t + 4", "p": "g + 19", "k": 13}, "premises": {"k": 13}, "target": "u"}, "answer": {"steps": [["f", "b + 5", "b + 16"], ["b", "o + 6", "o + 22"], ["o", "n + 14", "n + 36"], ["n", "a + 15", "a + 51"], ["a", "k + 4", "k + 55"], ["k", 13, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"k": 13}, "is_reverse": true}} | 14,159 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = f + 11; x = k + 20; n = a + 15; g = t + 4; s = x + 2; k = 13; t = c + 14; p = g + 19; f = b + 5; o = n + 14; c = s + 1; a = k + 4; b = o + 6. If k = 13, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 5 to u, which gives u = b + 16.\n2. Substitute b = o + 6 to u, which gives u = o + 22.\n3. Substitute o = n + 14 to u, which gives u = n + 36.\n4. Substitute n = a + 15 to u, which gives u = a + 51.\n5. Substitute a = k + 4 to u, which gives u = k + 55.\n6. Substitute k = 13 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 14159,
"question": "Consider a system of variables where each variable is defined as follows: u = f + 11; x = k + 20; n = a + 15; g = t + 4; s = x + 2; k = 13; t = c + 14; p = g + 19; f = b + 5; o = n + 14; c = s + 1; a = k + 4; b = o + 6. If k = 13, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 2", "f": "s + 11", "v": "f + 8", "r": "v + 17", "h": "r + 14", "y": "h + 15", "z": "q + 8", "w": "z + 7", "j": "w + 16", "o": "j + 9", "g": "o + 12", "x": "g + 3", "q": 20}, "premises": {"q": 20}, "target": "y"}, "answer": {"steps": [["h", "r + 14", "r + 29"], ["r", "v + 17", "v + 46"], ["v", "f + 8", "f + 54"], ["f", "s + 11", "s + 65"], ["s", "q + 2", "q + 67"], ["q", 20, "87"]], "target_var_name": "y", "target_value": 87, "value_dict": {"q": 20}, "is_reverse": true}} | 14,160 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = z + 7; q = 20; s = q + 2; z = q + 8; g = o + 12; r = v + 17; f = s + 11; y = h + 15; v = f + 8; x = g + 3; o = j + 9; h = r + 14; j = w + 16. If q = 20, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 14 to y, which gives y = r + 29.\n2. Substitute r = v + 17 to y, which gives y = v + 46.\n3. Substitute v = f + 8 to y, which gives y = f + 54.\n4. Substitute f = s + 11 to y, which gives y = s + 65.\n5. Substitute s = q + 2 to y, which gives y = q + 67.\n6. Substitute q = 20 to y, which gives y = 87.\n\nThus, the final answer is y = \\boxed{87}.",
"index": 14160,
"question": "Consider a system of variables where each variable is defined as follows: w = z + 7; q = 20; s = q + 2; z = q + 8; g = o + 12; r = v + 17; f = s + 11; y = h + 15; v = f + 8; x = g + 3; o = j + 9; h = r + 14; j = w + 16. If q = 20, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 11", "o": "z + 20", "u": "o + 3", "x": "u + 13", "y": "x + 8", "j": "y + 6", "l": "v + 14", "k": "l + 18", "e": "k + 18", "n": "e + 4", "d": "n + 12", "t": "d + 17", "v": 14}, "premises": {"v": 14}, "target": "j"}, "answer": {"steps": [["y", "x + 8", "x + 14"], ["x", "u + 13", "u + 27"], ["u", "o + 3", "o + 30"], ["o", "z + 20", "z + 50"], ["z", "v + 11", "v + 61"], ["v", 14, "75"]], "target_var_name": "j", "target_value": 75, "value_dict": {"v": 14}, "is_reverse": true}} | 14,161 | 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 = v + 11; y = x + 8; n = e + 4; d = n + 12; e = k + 18; t = d + 17; l = v + 14; u = o + 3; k = l + 18; x = u + 13; v = 14; j = y + 6; o = z + 20. If v = 14, what is the resulting value of j?",
"role": "us... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 8 to j, which gives j = x + 14.\n2. Substitute x = u + 13 to j, which gives j = u + 27.\n3. Substitute u = o + 3 to j, which gives j = o + 30.\n4. Substitute o = z + 20 to j, which gives j = z + 50.\n5. Substitute z = v + 11 to j, which gives j = v + 61.\n6. Substitute v = 14 to j, which gives j = 75.\n\nThus, the final answer is j = \\boxed{75}.",
"index": 14161,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = v + 11; y = x + 8; n = e + 4; d = n + 12; e = k + 18; t = d + 17; l = v + 14; u = o + 3; k = l + 18; x = u + 13; v = 14; j = y + 6; o = z + 20. If v = 14, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"a": "e + 6", "y": "a + 5", "u": "y + 12", "r": "u + 10", "l": "r + 8", "v": "l + 9", "w": "e + 16", "f": "w + 3", "q": "f + 19", "t": "q + 18", "n": "t + 12", "b": "n + 19", "e": 10}, "premises": {"e": 10}, "target": "v"}, "answer": {"steps": [["l", "r + 8", "r + 17"], ["r", "u + 10", "u + 27"], ["u", "y + 12", "y + 39"], ["y", "a + 5", "a + 44"], ["a", "e + 6", "e + 50"], ["e", 10, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"e": 10}, "is_reverse": true}} | 14,162 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = y + 12; a = e + 6; t = q + 18; f = w + 3; w = e + 16; r = u + 10; y = a + 5; b = n + 19; q = f + 19; v = l + 9; e = 10; n = t + 12; l = r + 8. If e = 10, what is the resulting value of v?",
"role": "use... | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 8 to v, which gives v = r + 17.\n2. Substitute r = u + 10 to v, which gives v = u + 27.\n3. Substitute u = y + 12 to v, which gives v = y + 39.\n4. Substitute y = a + 5 to v, which gives v = a + 44.\n5. Substitute a = e + 6 to v, which gives v = e + 50.\n6. Substitute e = 10 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 14162,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = y + 12; a = e + 6; t = q + 18; f = w + 3; w = e + 16; r = u + 10; y = a + 5; b = n + 19; q = f + 19; v = l + 9; e = 10; n = t + 12; l = r + 8. If e = 10, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"u": "z + 9", "d": "u + 10", "i": "d + 10", "h": "i + 8", "n": "h + 1", "s": "n + 4", "j": "z + 1", "t": "j + 13", "v": "t + 14", "y": "v + 5", "f": "y + 19", "e": "f + 17", "z": 13}, "premises": {"z": 13}, "target": "s"}, "answer": {"steps": [["n", "h + 1", "h + 5"], ["h", "i + 8", "i + 13"], ["i", "d + 10", "d + 23"], ["d", "u + 10", "u + 33"], ["u", "z + 9", "z + 42"], ["z", 13, "55"]], "target_var_name": "s", "target_value": 55, "value_dict": {"z": 13}, "is_reverse": true}} | 14,163 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = n + 4; v = t + 14; n = h + 1; t = j + 13; d = u + 10; i = d + 10; z = 13; u = z + 9; h = i + 8; y = v + 5; j = z + 1; e = f + 17; f = y + 19. If z = 13, what is the resulting value of s?",
"role": "user... | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 1 to s, which gives s = h + 5.\n2. Substitute h = i + 8 to s, which gives s = i + 13.\n3. Substitute i = d + 10 to s, which gives s = d + 23.\n4. Substitute d = u + 10 to s, which gives s = u + 33.\n5. Substitute u = z + 9 to s, which gives s = z + 42.\n6. Substitute z = 13 to s, which gives s = 55.\n\nThus, the final answer is s = \\boxed{55}.",
"index": 14163,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = n + 4; v = t + 14; n = h + 1; t = j + 13; d = u + 10; i = d + 10; z = 13; u = z + 9; h = i + 8; y = v + 5; j = z + 1; e = f + 17; f = y + 19. If z = 13, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 9", "z": "e + 11", "g": "z + 11", "j": "g + 6", "c": "j + 20", "u": "c + 1", "b": "x + 20", "a": "b + 1", "t": "a + 14", "k": "t + 17", "h": "k + 20", "m": "h + 1", "x": 13}, "premises": {"x": 13}, "target": "u"}, "answer": {"steps": [["c", "j + 20", "j + 21"], ["j", "g + 6", "g + 27"], ["g", "z + 11", "z + 38"], ["z", "e + 11", "e + 49"], ["e", "x + 9", "x + 58"], ["x", 13, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"x": 13}, "is_reverse": true}} | 14,164 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = a + 14; u = c + 1; x = 13; b = x + 20; h = k + 20; a = b + 1; c = j + 20; m = h + 1; k = t + 17; g = z + 11; e = x + 9; j = g + 6; z = e + 11. If x = 13, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 20 to u, which gives u = j + 21.\n2. Substitute j = g + 6 to u, which gives u = g + 27.\n3. Substitute g = z + 11 to u, which gives u = z + 38.\n4. Substitute z = e + 11 to u, which gives u = e + 49.\n5. Substitute e = x + 9 to u, which gives u = x + 58.\n6. Substitute x = 13 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 14164,
"question": "Consider a system of variables where each variable is defined as follows: t = a + 14; u = c + 1; x = 13; b = x + 20; h = k + 20; a = b + 1; c = j + 20; m = h + 1; k = t + 17; g = z + 11; e = x + 9; j = g + 6; z = e + 11. If x = 13, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 6", "f": "s + 5", "p": "f + 2", "i": "p + 11", "b": "i + 20", "g": "b + 11", "c": "a + 15", "n": "c + 12", "u": "n + 14", "x": "u + 4", "q": "x + 1", "r": "q + 15", "a": 11}, "premises": {"a": 11}, "target": "g"}, "answer": {"steps": [["b", "i + 20", "i + 31"], ["i", "p + 11", "p + 42"], ["p", "f + 2", "f + 44"], ["f", "s + 5", "s + 49"], ["s", "a + 6", "a + 55"], ["a", 11, "66"]], "target_var_name": "g", "target_value": 66, "value_dict": {"a": 11}, "is_reverse": true}} | 14,165 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = f + 2; q = x + 1; a = 11; g = b + 11; b = i + 20; n = c + 12; s = a + 6; c = a + 15; u = n + 14; i = p + 11; f = s + 5; r = q + 15; x = u + 4. Given that a = 11, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 20 to g, which gives g = i + 31.\n2. Substitute i = p + 11 to g, which gives g = p + 42.\n3. Substitute p = f + 2 to g, which gives g = f + 44.\n4. Substitute f = s + 5 to g, which gives g = s + 49.\n5. Substitute s = a + 6 to g, which gives g = a + 55.\n6. Substitute a = 11 to g, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 14165,
"question": "Suppose a collection of variables is related by the following definitions: p = f + 2; q = x + 1; a = 11; g = b + 11; b = i + 20; n = c + 12; s = a + 6; c = a + 15; u = n + 14; i = p + 11; f = s + 5; r = q + 15; x = u + 4. Given that a = 11, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"h": "k + 19", "j": "h + 6", "z": "j + 6", "b": "z + 13", "d": "b + 4", "l": "d + 7", "t": "k + 3", "q": "t + 1", "y": "q + 19", "w": "y + 20", "u": "w + 16", "x": "u + 2", "k": 4}, "premises": {"k": 4}, "target": "l"}, "answer": {"steps": [["d", "b + 4", "b + 11"], ["b", "z + 13", "z + 24"], ["z", "j + 6", "j + 30"], ["j", "h + 6", "h + 36"], ["h", "k + 19", "k + 55"], ["k", 4, "59"]], "target_var_name": "l", "target_value": 59, "value_dict": {"k": 4}, "is_reverse": true}} | 14,166 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = u + 2; t = k + 3; d = b + 4; w = y + 20; b = z + 13; u = w + 16; j = h + 6; y = q + 19; z = j + 6; k = 4; h = k + 19; l = d + 7; q = t + 1. If k = 4, what is the resulting value of l?",
"role": "user"
... | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 4 to l, which gives l = b + 11.\n2. Substitute b = z + 13 to l, which gives l = z + 24.\n3. Substitute z = j + 6 to l, which gives l = j + 30.\n4. Substitute j = h + 6 to l, which gives l = h + 36.\n5. Substitute h = k + 19 to l, which gives l = k + 55.\n6. Substitute k = 4 to l, which gives l = 59.\n\nThus, the final answer is l = \\boxed{59}.",
"index": 14166,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = u + 2; t = k + 3; d = b + 4; w = y + 20; b = z + 13; u = w + 16; j = h + 6; y = q + 19; z = j + 6; k = 4; h = k + 19; l = d + 7; q = t + 1. If k = 4, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 15", "q": "p + 5", "j": "q + 3", "e": "j + 11", "o": "e + 8", "s": "o + 3", "k": "c + 6", "h": "k + 13", "v": "h + 4", "r": "v + 4", "z": "r + 11", "a": "z + 19", "c": 8}, "premises": {"c": 8}, "target": "s"}, "answer": {"steps": [["o", "e + 8", "e + 11"], ["e", "j + 11", "j + 22"], ["j", "q + 3", "q + 25"], ["q", "p + 5", "p + 30"], ["p", "c + 15", "c + 45"], ["c", 8, "53"]], "target_var_name": "s", "target_value": 53, "value_dict": {"c": 8}, "is_reverse": true}} | 14,167 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = 8; q = p + 5; r = v + 4; o = e + 8; v = h + 4; z = r + 11; j = q + 3; a = z + 19; h = k + 13; k = c + 6; s = o + 3; e = j + 11; p = c + 15. Given that c = 8, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 8 to s, which gives s = e + 11.\n2. Substitute e = j + 11 to s, which gives s = j + 22.\n3. Substitute j = q + 3 to s, which gives s = q + 25.\n4. Substitute q = p + 5 to s, which gives s = p + 30.\n5. Substitute p = c + 15 to s, which gives s = c + 45.\n6. Substitute c = 8 to s, which gives s = 53.\n\nThus, the final answer is s = \\boxed{53}.",
"index": 14167,
"question": "Suppose a collection of variables is related by the following definitions: c = 8; q = p + 5; r = v + 4; o = e + 8; v = h + 4; z = r + 11; j = q + 3; a = z + 19; h = k + 13; k = c + 6; s = o + 3; e = j + 11; p = c + 15. Given that c = 8, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 15", "e": "c + 17", "u": "e + 19", "g": "u + 15", "w": "g + 14", "t": "w + 15", "s": "z + 7", "l": "s + 5", "a": "l + 20", "d": "a + 17", "r": "d + 19", "q": "r + 6", "z": 18}, "premises": {"z": 18}, "target": "t"}, "answer": {"steps": [["w", "g + 14", "g + 29"], ["g", "u + 15", "u + 44"], ["u", "e + 19", "e + 63"], ["e", "c + 17", "c + 80"], ["c", "z + 15", "z + 95"], ["z", 18, "113"]], "target_var_name": "t", "target_value": 113, "value_dict": {"z": 18}, "is_reverse": true}} | 14,168 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = e + 19; d = a + 17; c = z + 15; a = l + 20; g = u + 15; l = s + 5; r = d + 19; z = 18; w = g + 14; e = c + 17; t = w + 15; q = r + 6; s = z + 7. If z = 18, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 113,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 14 to t, which gives t = g + 29.\n2. Substitute g = u + 15 to t, which gives t = u + 44.\n3. Substitute u = e + 19 to t, which gives t = e + 63.\n4. Substitute e = c + 17 to t, which gives t = c + 80.\n5. Substitute c = z + 15 to t, which gives t = z + 95.\n6. Substitute z = 18 to t, which gives t = 113.\n\nThus, the final answer is t = \\boxed{113}.",
"index": 14168,
"question": "Consider a system of variables where each variable is defined as follows: u = e + 19; d = a + 17; c = z + 15; a = l + 20; g = u + 15; l = s + 5; r = d + 19; z = 18; w = g + 14; e = c + 17; t = w + 15; q = r + 6; s = z + 7. If z = 18, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 6", "w": "x + 8", "o": "w + 17", "n": "o + 18", "h": "n + 6", "t": "h + 20", "r": "k + 13", "u": "r + 14", "q": "u + 15", "v": "q + 6", "a": "v + 14", "m": "a + 14", "k": 19}, "premises": {"k": 19}, "target": "t"}, "answer": {"steps": [["h", "n + 6", "n + 26"], ["n", "o + 18", "o + 44"], ["o", "w + 17", "w + 61"], ["w", "x + 8", "x + 69"], ["x", "k + 6", "k + 75"], ["k", 19, "94"]], "target_var_name": "t", "target_value": 94, "value_dict": {"k": 19}, "is_reverse": true}} | 14,169 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = k + 6; w = x + 8; m = a + 14; v = q + 6; h = n + 6; q = u + 15; k = 19; t = h + 20; o = w + 17; r = k + 13; u = r + 14; n = o + 18; a = v + 14. If k = 19, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 6 to t, which gives t = n + 26.\n2. Substitute n = o + 18 to t, which gives t = o + 44.\n3. Substitute o = w + 17 to t, which gives t = w + 61.\n4. Substitute w = x + 8 to t, which gives t = x + 69.\n5. Substitute x = k + 6 to t, which gives t = k + 75.\n6. Substitute k = 19 to t, which gives t = 94.\n\nThus, the final answer is t = \\boxed{94}.",
"index": 14169,
"question": "Consider a system of variables where each variable is defined as follows: x = k + 6; w = x + 8; m = a + 14; v = q + 6; h = n + 6; q = u + 15; k = 19; t = h + 20; o = w + 17; r = k + 13; u = r + 14; n = o + 18; a = v + 14. If k = 19, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 18", "j": "b + 3", "f": "j + 8", "k": "f + 3", "w": "k + 1", "s": "w + 12", "i": "r + 17", "e": "i + 8", "c": "e + 4", "g": "c + 8", "x": "g + 15", "l": "x + 19", "r": 17}, "premises": {"r": 17}, "target": "s"}, "answer": {"steps": [["w", "k + 1", "k + 13"], ["k", "f + 3", "f + 16"], ["f", "j + 8", "j + 24"], ["j", "b + 3", "b + 27"], ["b", "r + 18", "r + 45"], ["r", 17, "62"]], "target_var_name": "s", "target_value": 62, "value_dict": {"r": 17}, "is_reverse": true}} | 14,170 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = c + 8; f = j + 8; s = w + 12; b = r + 18; i = r + 17; l = x + 19; c = e + 4; e = i + 8; r = 17; j = b + 3; w = k + 1; k = f + 3; x = g + 15. If r = 17, what is the resulting value of s?",
"role": "user"... | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 1 to s, which gives s = k + 13.\n2. Substitute k = f + 3 to s, which gives s = f + 16.\n3. Substitute f = j + 8 to s, which gives s = j + 24.\n4. Substitute j = b + 3 to s, which gives s = b + 27.\n5. Substitute b = r + 18 to s, which gives s = r + 45.\n6. Substitute r = 17 to s, which gives s = 62.\n\nThus, the final answer is s = \\boxed{62}.",
"index": 14170,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = c + 8; f = j + 8; s = w + 12; b = r + 18; i = r + 17; l = x + 19; c = e + 4; e = i + 8; r = 17; j = b + 3; w = k + 1; k = f + 3; x = g + 15. If r = 17, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"t": "d + 4", "w": "t + 9", "s": "w + 20", "j": "s + 11", "r": "j + 4", "y": "r + 9", "x": "d + 8", "u": "x + 19", "f": "u + 6", "b": "f + 10", "m": "b + 9", "a": "m + 8", "d": 11}, "premises": {"d": 11}, "target": "y"}, "answer": {"steps": [["r", "j + 4", "j + 13"], ["j", "s + 11", "s + 24"], ["s", "w + 20", "w + 44"], ["w", "t + 9", "t + 53"], ["t", "d + 4", "d + 57"], ["d", 11, "68"]], "target_var_name": "y", "target_value": 68, "value_dict": {"d": 11}, "is_reverse": true}} | 14,171 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = t + 9; x = d + 8; u = x + 19; a = m + 8; f = u + 6; m = b + 9; b = f + 10; t = d + 4; j = s + 11; y = r + 9; r = j + 4; s = w + 20; d = 11. Given that d = 11, find 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 r = j + 4 to y, which gives y = j + 13.\n2. Substitute j = s + 11 to y, which gives y = s + 24.\n3. Substitute s = w + 20 to y, which gives y = w + 44.\n4. Substitute w = t + 9 to y, which gives y = t + 53.\n5. Substitute t = d + 4 to y, which gives y = d + 57.\n6. Substitute d = 11 to y, which gives y = 68.\n\nThus, the final answer is y = \\boxed{68}.",
"index": 14171,
"question": "Suppose a collection of variables is related by the following definitions: w = t + 9; x = d + 8; u = x + 19; a = m + 8; f = u + 6; m = b + 9; b = f + 10; t = d + 4; j = s + 11; y = r + 9; r = j + 4; s = w + 20; d = 11. Given that d = 11, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"i": "k + 18", "r": "i + 6", "s": "r + 14", "j": "s + 1", "p": "j + 12", "l": "p + 17", "f": "k + 15", "o": "f + 16", "c": "o + 16", "x": "c + 9", "w": "x + 20", "b": "w + 20", "k": 14}, "premises": {"k": 14}, "target": "l"}, "answer": {"steps": [["p", "j + 12", "j + 29"], ["j", "s + 1", "s + 30"], ["s", "r + 14", "r + 44"], ["r", "i + 6", "i + 50"], ["i", "k + 18", "k + 68"], ["k", 14, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"k": 14}, "is_reverse": true}} | 14,172 | 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 + 16; s = r + 14; p = j + 12; o = f + 16; f = k + 15; j = s + 1; w = x + 20; l = p + 17; k = 14; i = k + 18; x = c + 9; b = w + 20; r = i + 6. If k = 14, what is the resulting value of l?",
"role": "u... | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 12 to l, which gives l = j + 29.\n2. Substitute j = s + 1 to l, which gives l = s + 30.\n3. Substitute s = r + 14 to l, which gives l = r + 44.\n4. Substitute r = i + 6 to l, which gives l = i + 50.\n5. Substitute i = k + 18 to l, which gives l = k + 68.\n6. Substitute k = 14 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 14172,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 16; s = r + 14; p = j + 12; o = f + 16; f = k + 15; j = s + 1; w = x + 20; l = p + 17; k = 14; i = k + 18; x = c + 9; b = w + 20; r = i + 6. If k = 14, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"d": "b + 14", "t": "d + 16", "p": "t + 1", "s": "p + 14", "l": "s + 19", "z": "l + 15", "u": "b + 6", "h": "u + 12", "k": "h + 16", "g": "k + 3", "x": "g + 13", "i": "x + 2", "b": 8}, "premises": {"b": 8}, "target": "z"}, "answer": {"steps": [["l", "s + 19", "s + 34"], ["s", "p + 14", "p + 48"], ["p", "t + 1", "t + 49"], ["t", "d + 16", "d + 65"], ["d", "b + 14", "b + 79"], ["b", 8, "87"]], "target_var_name": "z", "target_value": 87, "value_dict": {"b": 8}, "is_reverse": true}} | 14,173 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = d + 16; z = l + 15; s = p + 14; h = u + 12; i = x + 2; x = g + 13; k = h + 16; l = s + 19; b = 8; d = b + 14; u = b + 6; g = k + 3; p = t + 1. If b = 8, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 19 to z, which gives z = s + 34.\n2. Substitute s = p + 14 to z, which gives z = p + 48.\n3. Substitute p = t + 1 to z, which gives z = t + 49.\n4. Substitute t = d + 16 to z, which gives z = d + 65.\n5. Substitute d = b + 14 to z, which gives z = b + 79.\n6. Substitute b = 8 to z, which gives z = 87.\n\nThus, the final answer is z = \\boxed{87}.",
"index": 14173,
"question": "Consider a system of variables where each variable is defined as follows: t = d + 16; z = l + 15; s = p + 14; h = u + 12; i = x + 2; x = g + 13; k = h + 16; l = s + 19; b = 8; d = b + 14; u = b + 6; g = k + 3; p = t + 1. If b = 8, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 10", "j": "g + 16", "x": "j + 11", "s": "x + 7", "v": "s + 9", "b": "v + 15", "l": "q + 3", "o": "l + 12", "r": "o + 19", "p": "r + 17", "k": "p + 12", "h": "k + 12", "q": 20}, "premises": {"q": 20}, "target": "b"}, "answer": {"steps": [["v", "s + 9", "s + 24"], ["s", "x + 7", "x + 31"], ["x", "j + 11", "j + 42"], ["j", "g + 16", "g + 58"], ["g", "q + 10", "q + 68"], ["q", 20, "88"]], "target_var_name": "b", "target_value": 88, "value_dict": {"q": 20}, "is_reverse": true}} | 14,174 | 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 = p + 12; p = r + 17; h = k + 12; q = 20; g = q + 10; v = s + 9; x = j + 11; l = q + 3; b = v + 15; j = g + 16; r = o + 19; o = l + 12; s = x + 7. If q = 20, what is the resulting value of b?",
"role": "u... | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 9 to b, which gives b = s + 24.\n2. Substitute s = x + 7 to b, which gives b = x + 31.\n3. Substitute x = j + 11 to b, which gives b = j + 42.\n4. Substitute j = g + 16 to b, which gives b = g + 58.\n5. Substitute g = q + 10 to b, which gives b = q + 68.\n6. Substitute q = 20 to b, which gives b = 88.\n\nThus, the final answer is b = \\boxed{88}.",
"index": 14174,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = p + 12; p = r + 17; h = k + 12; q = 20; g = q + 10; v = s + 9; x = j + 11; l = q + 3; b = v + 15; j = g + 16; r = o + 19; o = l + 12; s = x + 7. If q = 20, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 2", "t": "e + 6", "d": "t + 8", "u": "d + 14", "i": "u + 2", "x": "i + 18", "b": "l + 1", "p": "b + 14", "y": "p + 8", "j": "y + 14", "f": "j + 9", "v": "f + 11", "l": 8}, "premises": {"l": 8}, "target": "x"}, "answer": {"steps": [["i", "u + 2", "u + 20"], ["u", "d + 14", "d + 34"], ["d", "t + 8", "t + 42"], ["t", "e + 6", "e + 48"], ["e", "l + 2", "l + 50"], ["l", 8, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"l": 8}, "is_reverse": true}} | 14,175 | 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 = f + 11; x = i + 18; b = l + 1; t = e + 6; j = y + 14; i = u + 2; u = d + 14; l = 8; y = p + 8; p = b + 14; f = j + 9; e = l + 2; d = t + 8. If l = 8, what is the resulting value of x?",
"role": "user"
... | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 2 to x, which gives x = u + 20.\n2. Substitute u = d + 14 to x, which gives x = d + 34.\n3. Substitute d = t + 8 to x, which gives x = t + 42.\n4. Substitute t = e + 6 to x, which gives x = e + 48.\n5. Substitute e = l + 2 to x, which gives x = l + 50.\n6. Substitute l = 8 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 14175,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = f + 11; x = i + 18; b = l + 1; t = e + 6; j = y + 14; i = u + 2; u = d + 14; l = 8; y = p + 8; p = b + 14; f = j + 9; e = l + 2; d = t + 8. If l = 8, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 16", "t": "s + 3", "w": "t + 5", "f": "w + 3", "h": "f + 6", "r": "h + 1", "x": "l + 16", "u": "x + 11", "d": "u + 14", "o": "d + 14", "k": "o + 17", "v": "k + 8", "l": 2}, "premises": {"l": 2}, "target": "r"}, "answer": {"steps": [["h", "f + 6", "f + 7"], ["f", "w + 3", "w + 10"], ["w", "t + 5", "t + 15"], ["t", "s + 3", "s + 18"], ["s", "l + 16", "l + 34"], ["l", 2, "36"]], "target_var_name": "r", "target_value": 36, "value_dict": {"l": 2}, "is_reverse": true}} | 14,176 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = t + 5; f = w + 3; k = o + 17; v = k + 8; t = s + 3; d = u + 14; l = 2; x = l + 16; r = h + 1; h = f + 6; s = l + 16; u = x + 11; o = d + 14. Given that l = 2, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 36,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 6 to r, which gives r = f + 7.\n2. Substitute f = w + 3 to r, which gives r = w + 10.\n3. Substitute w = t + 5 to r, which gives r = t + 15.\n4. Substitute t = s + 3 to r, which gives r = s + 18.\n5. Substitute s = l + 16 to r, which gives r = l + 34.\n6. Substitute l = 2 to r, which gives r = 36.\n\nThus, the final answer is r = \\boxed{36}.",
"index": 14176,
"question": "Suppose a collection of variables is related by the following definitions: w = t + 5; f = w + 3; k = o + 17; v = k + 8; t = s + 3; d = u + 14; l = 2; x = l + 16; r = h + 1; h = f + 6; s = l + 16; u = x + 11; o = d + 14. Given that l = 2, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 15", "i": "j + 10", "y": "i + 13", "e": "y + 15", "a": "e + 2", "w": "a + 11", "o": "v + 4", "t": "o + 19", "s": "t + 8", "q": "s + 11", "r": "q + 19", "l": "r + 3", "v": 3}, "premises": {"v": 3}, "target": "w"}, "answer": {"steps": [["a", "e + 2", "e + 13"], ["e", "y + 15", "y + 28"], ["y", "i + 13", "i + 41"], ["i", "j + 10", "j + 51"], ["j", "v + 15", "v + 66"], ["v", 3, "69"]], "target_var_name": "w", "target_value": 69, "value_dict": {"v": 3}, "is_reverse": true}} | 14,177 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = v + 4; t = o + 19; v = 3; r = q + 19; s = t + 8; i = j + 10; a = e + 2; e = y + 15; l = r + 3; y = i + 13; j = v + 15; w = a + 11; q = s + 11. Given that v = 3, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 2 to w, which gives w = e + 13.\n2. Substitute e = y + 15 to w, which gives w = y + 28.\n3. Substitute y = i + 13 to w, which gives w = i + 41.\n4. Substitute i = j + 10 to w, which gives w = j + 51.\n5. Substitute j = v + 15 to w, which gives w = v + 66.\n6. Substitute v = 3 to w, which gives w = 69.\n\nThus, the final answer is w = \\boxed{69}.",
"index": 14177,
"question": "Suppose a collection of variables is related by the following definitions: o = v + 4; t = o + 19; v = 3; r = q + 19; s = t + 8; i = j + 10; a = e + 2; e = y + 15; l = r + 3; y = i + 13; j = v + 15; w = a + 11; q = s + 11. Given that v = 3, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 5", "b": "k + 16", "s": "b + 12", "e": "s + 2", "i": "e + 13", "z": "i + 3", "u": "n + 8", "g": "u + 18", "o": "g + 18", "x": "o + 1", "y": "x + 15", "f": "y + 12", "n": 19}, "premises": {"n": 19}, "target": "z"}, "answer": {"steps": [["i", "e + 13", "e + 16"], ["e", "s + 2", "s + 18"], ["s", "b + 12", "b + 30"], ["b", "k + 16", "k + 46"], ["k", "n + 5", "n + 51"], ["n", 19, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"n": 19}, "is_reverse": true}} | 14,178 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = x + 15; g = u + 18; z = i + 3; x = o + 1; k = n + 5; i = e + 13; o = g + 18; b = k + 16; f = y + 12; n = 19; e = s + 2; s = b + 12; u = n + 8. Given that n = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 13 to z, which gives z = e + 16.\n2. Substitute e = s + 2 to z, which gives z = s + 18.\n3. Substitute s = b + 12 to z, which gives z = b + 30.\n4. Substitute b = k + 16 to z, which gives z = k + 46.\n5. Substitute k = n + 5 to z, which gives z = n + 51.\n6. Substitute n = 19 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 14178,
"question": "Suppose a collection of variables is related by the following definitions: y = x + 15; g = u + 18; z = i + 3; x = o + 1; k = n + 5; i = e + 13; o = g + 18; b = k + 16; f = y + 12; n = 19; e = s + 2; s = b + 12; u = n + 8. Given that n = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 8", "a": "u + 18", "x": "a + 16", "h": "x + 10", "e": "h + 9", "y": "e + 13", "r": "c + 3", "n": "r + 4", "j": "n + 18", "o": "j + 13", "i": "o + 14", "k": "i + 4", "c": 7}, "premises": {"c": 7}, "target": "y"}, "answer": {"steps": [["e", "h + 9", "h + 22"], ["h", "x + 10", "x + 32"], ["x", "a + 16", "a + 48"], ["a", "u + 18", "u + 66"], ["u", "c + 8", "c + 74"], ["c", 7, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"c": 7}, "is_reverse": true}} | 14,179 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = c + 3; n = r + 4; e = h + 9; j = n + 18; y = e + 13; o = j + 13; h = x + 10; a = u + 18; c = 7; k = i + 4; i = o + 14; x = a + 16; u = c + 8. If c = 7, what is the resulting value of y?",
"role": "user"... | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 9 to y, which gives y = h + 22.\n2. Substitute h = x + 10 to y, which gives y = x + 32.\n3. Substitute x = a + 16 to y, which gives y = a + 48.\n4. Substitute a = u + 18 to y, which gives y = u + 66.\n5. Substitute u = c + 8 to y, which gives y = c + 74.\n6. Substitute c = 7 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 14179,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = c + 3; n = r + 4; e = h + 9; j = n + 18; y = e + 13; o = j + 13; h = x + 10; a = u + 18; c = 7; k = i + 4; i = o + 14; x = a + 16; u = c + 8. If c = 7, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 15", "n": "z + 19", "v": "n + 15", "q": "v + 13", "x": "q + 13", "i": "x + 2", "w": "f + 16", "c": "w + 18", "l": "c + 1", "k": "l + 19", "r": "k + 12", "m": "r + 12", "f": 2}, "premises": {"f": 2}, "target": "i"}, "answer": {"steps": [["x", "q + 13", "q + 15"], ["q", "v + 13", "v + 28"], ["v", "n + 15", "n + 43"], ["n", "z + 19", "z + 62"], ["z", "f + 15", "f + 77"], ["f", 2, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"f": 2}, "is_reverse": true}} | 14,180 | 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 + 15; i = x + 2; x = q + 13; w = f + 16; c = w + 18; v = n + 15; n = z + 19; l = c + 1; k = l + 19; r = k + 12; q = v + 13; f = 2; m = r + 12. If f = 2, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 13 to i, which gives i = q + 15.\n2. Substitute q = v + 13 to i, which gives i = v + 28.\n3. Substitute v = n + 15 to i, which gives i = n + 43.\n4. Substitute n = z + 19 to i, which gives i = z + 62.\n5. Substitute z = f + 15 to i, which gives i = f + 77.\n6. Substitute f = 2 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 14180,
"question": "Consider a system of variables where each variable is defined as follows: z = f + 15; i = x + 2; x = q + 13; w = f + 16; c = w + 18; v = n + 15; n = z + 19; l = c + 1; k = l + 19; r = k + 12; q = v + 13; f = 2; m = r + 12. If f = 2, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 10", "k": "z + 10", "r": "k + 16", "b": "r + 5", "h": "b + 6", "x": "h + 13", "l": "v + 20", "q": "l + 7", "u": "q + 19", "a": "u + 3", "f": "a + 19", "d": "f + 15", "v": 15}, "premises": {"v": 15}, "target": "x"}, "answer": {"steps": [["h", "b + 6", "b + 19"], ["b", "r + 5", "r + 24"], ["r", "k + 16", "k + 40"], ["k", "z + 10", "z + 50"], ["z", "v + 10", "v + 60"], ["v", 15, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"v": 15}, "is_reverse": true}} | 14,181 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = f + 15; q = l + 7; x = h + 13; u = q + 19; z = v + 10; b = r + 5; f = a + 19; r = k + 16; h = b + 6; k = z + 10; a = u + 3; v = 15; l = v + 20. If v = 15, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 6 to x, which gives x = b + 19.\n2. Substitute b = r + 5 to x, which gives x = r + 24.\n3. Substitute r = k + 16 to x, which gives x = k + 40.\n4. Substitute k = z + 10 to x, which gives x = z + 50.\n5. Substitute z = v + 10 to x, which gives x = v + 60.\n6. Substitute v = 15 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 14181,
"question": "Consider a system of variables where each variable is defined as follows: d = f + 15; q = l + 7; x = h + 13; u = q + 19; z = v + 10; b = r + 5; f = a + 19; r = k + 16; h = b + 6; k = z + 10; a = u + 3; v = 15; l = v + 20. If v = 15, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 8", "p": "l + 10", "j": "p + 11", "b": "j + 19", "s": "b + 15", "x": "s + 4", "k": "w + 13", "f": "k + 1", "v": "f + 10", "n": "v + 16", "m": "n + 19", "r": "m + 9", "w": 7}, "premises": {"w": 7}, "target": "x"}, "answer": {"steps": [["s", "b + 15", "b + 19"], ["b", "j + 19", "j + 38"], ["j", "p + 11", "p + 49"], ["p", "l + 10", "l + 59"], ["l", "w + 8", "w + 67"], ["w", 7, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"w": 7}, "is_reverse": true}} | 14,182 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = k + 1; v = f + 10; s = b + 15; x = s + 4; n = v + 16; l = w + 8; w = 7; m = n + 19; j = p + 11; p = l + 10; k = w + 13; b = j + 19; r = m + 9. If w = 7, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 15 to x, which gives x = b + 19.\n2. Substitute b = j + 19 to x, which gives x = j + 38.\n3. Substitute j = p + 11 to x, which gives x = p + 49.\n4. Substitute p = l + 10 to x, which gives x = l + 59.\n5. Substitute l = w + 8 to x, which gives x = w + 67.\n6. Substitute w = 7 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 14182,
"question": "Consider a system of variables where each variable is defined as follows: f = k + 1; v = f + 10; s = b + 15; x = s + 4; n = v + 16; l = w + 8; w = 7; m = n + 19; j = p + 11; p = l + 10; k = w + 13; b = j + 19; r = m + 9. If w = 7, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 1", "c": "q + 19", "f": "c + 18", "v": "f + 17", "t": "v + 1", "y": "t + 16", "j": "w + 10", "x": "j + 20", "g": "x + 19", "a": "g + 18", "p": "a + 9", "z": "p + 6", "w": 8}, "premises": {"w": 8}, "target": "y"}, "answer": {"steps": [["t", "v + 1", "v + 17"], ["v", "f + 17", "f + 34"], ["f", "c + 18", "c + 52"], ["c", "q + 19", "q + 71"], ["q", "w + 1", "w + 72"], ["w", 8, "80"]], "target_var_name": "y", "target_value": 80, "value_dict": {"w": 8}, "is_reverse": true}} | 14,183 | 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 = p + 6; t = v + 1; q = w + 1; a = g + 18; f = c + 18; c = q + 19; p = a + 9; v = f + 17; j = w + 10; x = j + 20; g = x + 19; w = 8; y = t + 16. If w = 8, what is the resulting value of y?",
"role": "user... | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 1 to y, which gives y = v + 17.\n2. Substitute v = f + 17 to y, which gives y = f + 34.\n3. Substitute f = c + 18 to y, which gives y = c + 52.\n4. Substitute c = q + 19 to y, which gives y = q + 71.\n5. Substitute q = w + 1 to y, which gives y = w + 72.\n6. Substitute w = 8 to y, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 14183,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = p + 6; t = v + 1; q = w + 1; a = g + 18; f = c + 18; c = q + 19; p = a + 9; v = f + 17; j = w + 10; x = j + 20; g = x + 19; w = 8; y = t + 16. If w = 8, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 3", "i": "x + 3", "j": "i + 1", "v": "j + 15", "n": "v + 17", "q": "n + 15", "l": "f + 8", "k": "l + 1", "a": "k + 6", "w": "a + 9", "m": "w + 4", "u": "m + 4", "f": 16}, "premises": {"f": 16}, "target": "q"}, "answer": {"steps": [["n", "v + 17", "v + 32"], ["v", "j + 15", "j + 47"], ["j", "i + 1", "i + 48"], ["i", "x + 3", "x + 51"], ["x", "f + 3", "f + 54"], ["f", 16, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"f": 16}, "is_reverse": true}} | 14,184 | 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 = l + 1; m = w + 4; u = m + 4; v = j + 15; j = i + 1; n = v + 17; f = 16; a = k + 6; l = f + 8; w = a + 9; q = n + 15; i = x + 3; x = f + 3. If f = 16, what is the resulting value of q?",
"role": "user"
... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 17 to q, which gives q = v + 32.\n2. Substitute v = j + 15 to q, which gives q = j + 47.\n3. Substitute j = i + 1 to q, which gives q = i + 48.\n4. Substitute i = x + 3 to q, which gives q = x + 51.\n5. Substitute x = f + 3 to q, which gives q = f + 54.\n6. Substitute f = 16 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 14184,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 1; m = w + 4; u = m + 4; v = j + 15; j = i + 1; n = v + 17; f = 16; a = k + 6; l = f + 8; w = a + 9; q = n + 15; i = x + 3; x = f + 3. If f = 16, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 19", "x": "j + 10", "d": "x + 1", "g": "d + 1", "s": "g + 7", "q": "s + 12", "f": "k + 12", "b": "f + 1", "z": "b + 15", "l": "z + 10", "n": "l + 15", "p": "n + 9", "k": 17}, "premises": {"k": 17}, "target": "q"}, "answer": {"steps": [["s", "g + 7", "g + 19"], ["g", "d + 1", "d + 20"], ["d", "x + 1", "x + 21"], ["x", "j + 10", "j + 31"], ["j", "k + 19", "k + 50"], ["k", 17, "67"]], "target_var_name": "q", "target_value": 67, "value_dict": {"k": 17}, "is_reverse": true}} | 14,185 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 17; x = j + 10; b = f + 1; s = g + 7; j = k + 19; z = b + 15; f = k + 12; q = s + 12; p = n + 9; d = x + 1; g = d + 1; l = z + 10; n = l + 15. Given that k = 17, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 7 to q, which gives q = g + 19.\n2. Substitute g = d + 1 to q, which gives q = d + 20.\n3. Substitute d = x + 1 to q, which gives q = x + 21.\n4. Substitute x = j + 10 to q, which gives q = j + 31.\n5. Substitute j = k + 19 to q, which gives q = k + 50.\n6. Substitute k = 17 to q, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 14185,
"question": "Suppose a collection of variables is related by the following definitions: k = 17; x = j + 10; b = f + 1; s = g + 7; j = k + 19; z = b + 15; f = k + 12; q = s + 12; p = n + 9; d = x + 1; g = d + 1; l = z + 10; n = l + 15. Given that k = 17, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"p": "t + 10", "y": "p + 9", "h": "y + 3", "b": "h + 8", "m": "b + 11", "n": "m + 20", "l": "t + 1", "o": "l + 11", "w": "o + 7", "c": "w + 1", "j": "c + 6", "q": "j + 10", "t": 15}, "premises": {"t": 15}, "target": "n"}, "answer": {"steps": [["m", "b + 11", "b + 31"], ["b", "h + 8", "h + 39"], ["h", "y + 3", "y + 42"], ["y", "p + 9", "p + 51"], ["p", "t + 10", "t + 61"], ["t", 15, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"t": 15}, "is_reverse": true}} | 14,186 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = b + 11; b = h + 8; h = y + 3; j = c + 6; t = 15; l = t + 1; p = t + 10; o = l + 11; n = m + 20; w = o + 7; q = j + 10; c = w + 1; y = p + 9. If t = 15, determine 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 m = b + 11 to n, which gives n = b + 31.\n2. Substitute b = h + 8 to n, which gives n = h + 39.\n3. Substitute h = y + 3 to n, which gives n = y + 42.\n4. Substitute y = p + 9 to n, which gives n = p + 51.\n5. Substitute p = t + 10 to n, which gives n = t + 61.\n6. Substitute t = 15 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 14186,
"question": "Consider a system of variables where each variable is defined as follows: m = b + 11; b = h + 8; h = y + 3; j = c + 6; t = 15; l = t + 1; p = t + 10; o = l + 11; n = m + 20; w = o + 7; q = j + 10; c = w + 1; y = p + 9. If t = 15, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 2", "o": "g + 16", "y": "o + 13", "r": "y + 9", "n": "r + 20", "z": "n + 18", "l": "h + 17", "i": "l + 17", "f": "i + 8", "x": "f + 6", "j": "x + 13", "t": "j + 6", "h": 16}, "premises": {"h": 16}, "target": "z"}, "answer": {"steps": [["n", "r + 20", "r + 38"], ["r", "y + 9", "y + 47"], ["y", "o + 13", "o + 60"], ["o", "g + 16", "g + 76"], ["g", "h + 2", "h + 78"], ["h", 16, "94"]], "target_var_name": "z", "target_value": 94, "value_dict": {"h": 16}, "is_reverse": true}} | 14,187 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = h + 17; i = l + 17; x = f + 6; j = x + 13; f = i + 8; r = y + 9; g = h + 2; o = g + 16; n = r + 20; h = 16; y = o + 13; z = n + 18; t = j + 6. Given that h = 16, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 20 to z, which gives z = r + 38.\n2. Substitute r = y + 9 to z, which gives z = y + 47.\n3. Substitute y = o + 13 to z, which gives z = o + 60.\n4. Substitute o = g + 16 to z, which gives z = g + 76.\n5. Substitute g = h + 2 to z, which gives z = h + 78.\n6. Substitute h = 16 to z, which gives z = 94.\n\nThus, the final answer is z = \\boxed{94}.",
"index": 14187,
"question": "Suppose a collection of variables is related by the following definitions: l = h + 17; i = l + 17; x = f + 6; j = x + 13; f = i + 8; r = y + 9; g = h + 2; o = g + 16; n = r + 20; h = 16; y = o + 13; z = n + 18; t = j + 6. Given that h = 16, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 15", "k": "q + 20", "j": "k + 9", "m": "j + 3", "s": "m + 19", "t": "s + 18", "a": "y + 17", "f": "a + 2", "e": "f + 2", "h": "e + 16", "w": "h + 10", "x": "w + 9", "y": 18}, "premises": {"y": 18}, "target": "t"}, "answer": {"steps": [["s", "m + 19", "m + 37"], ["m", "j + 3", "j + 40"], ["j", "k + 9", "k + 49"], ["k", "q + 20", "q + 69"], ["q", "y + 15", "y + 84"], ["y", 18, "102"]], "target_var_name": "t", "target_value": 102, "value_dict": {"y": 18}, "is_reverse": true}} | 14,188 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 18; q = y + 15; t = s + 18; e = f + 2; a = y + 17; x = w + 9; w = h + 10; m = j + 3; s = m + 19; h = e + 16; f = a + 2; j = k + 9; k = q + 20. Given that y = 18, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 19 to t, which gives t = m + 37.\n2. Substitute m = j + 3 to t, which gives t = j + 40.\n3. Substitute j = k + 9 to t, which gives t = k + 49.\n4. Substitute k = q + 20 to t, which gives t = q + 69.\n5. Substitute q = y + 15 to t, which gives t = y + 84.\n6. Substitute y = 18 to t, which gives t = 102.\n\nThus, the final answer is t = \\boxed{102}.",
"index": 14188,
"question": "Suppose a collection of variables is related by the following definitions: y = 18; q = y + 15; t = s + 18; e = f + 2; a = y + 17; x = w + 9; w = h + 10; m = j + 3; s = m + 19; h = e + 16; f = a + 2; j = k + 9; k = q + 20. Given that y = 18, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"b": "q + 6", "y": "b + 12", "v": "y + 20", "f": "v + 20", "r": "f + 6", "p": "r + 1", "x": "q + 20", "d": "x + 13", "g": "d + 6", "w": "g + 20", "i": "w + 18", "c": "i + 14", "q": 6}, "premises": {"q": 6}, "target": "p"}, "answer": {"steps": [["r", "f + 6", "f + 7"], ["f", "v + 20", "v + 27"], ["v", "y + 20", "y + 47"], ["y", "b + 12", "b + 59"], ["b", "q + 6", "q + 65"], ["q", 6, "71"]], "target_var_name": "p", "target_value": 71, "value_dict": {"q": 6}, "is_reverse": true}} | 14,189 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = f + 6; i = w + 18; d = x + 13; b = q + 6; c = i + 14; v = y + 20; p = r + 1; y = b + 12; q = 6; g = d + 6; f = v + 20; w = g + 20; x = q + 20. If q = 6, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 6 to p, which gives p = f + 7.\n2. Substitute f = v + 20 to p, which gives p = v + 27.\n3. Substitute v = y + 20 to p, which gives p = y + 47.\n4. Substitute y = b + 12 to p, which gives p = b + 59.\n5. Substitute b = q + 6 to p, which gives p = q + 65.\n6. Substitute q = 6 to p, which gives p = 71.\n\nThus, the final answer is p = \\boxed{71}.",
"index": 14189,
"question": "Consider a system of variables where each variable is defined as follows: r = f + 6; i = w + 18; d = x + 13; b = q + 6; c = i + 14; v = y + 20; p = r + 1; y = b + 12; q = 6; g = d + 6; f = v + 20; w = g + 20; x = q + 20. If q = 6, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"q": "m + 5", "s": "q + 3", "x": "s + 14", "k": "x + 6", "z": "k + 16", "h": "z + 12", "y": "m + 13", "b": "y + 13", "n": "b + 14", "i": "n + 13", "r": "i + 4", "d": "r + 8", "m": 19}, "premises": {"m": 19}, "target": "h"}, "answer": {"steps": [["z", "k + 16", "k + 28"], ["k", "x + 6", "x + 34"], ["x", "s + 14", "s + 48"], ["s", "q + 3", "q + 51"], ["q", "m + 5", "m + 56"], ["m", 19, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"m": 19}, "is_reverse": true}} | 14,190 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = z + 12; r = i + 4; k = x + 6; b = y + 13; y = m + 13; x = s + 14; n = b + 14; i = n + 13; s = q + 3; q = m + 5; z = k + 16; d = r + 8; m = 19. Given that m = 19, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 16 to h, which gives h = k + 28.\n2. Substitute k = x + 6 to h, which gives h = x + 34.\n3. Substitute x = s + 14 to h, which gives h = s + 48.\n4. Substitute s = q + 3 to h, which gives h = q + 51.\n5. Substitute q = m + 5 to h, which gives h = m + 56.\n6. Substitute m = 19 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 14190,
"question": "Suppose a collection of variables is related by the following definitions: h = z + 12; r = i + 4; k = x + 6; b = y + 13; y = m + 13; x = s + 14; n = b + 14; i = n + 13; s = q + 3; q = m + 5; z = k + 16; d = r + 8; m = 19. Given that m = 19, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 2", "n": "v + 15", "c": "n + 11", "y": "c + 7", "k": "y + 13", "h": "k + 13", "q": "r + 3", "p": "q + 9", "z": "p + 20", "u": "z + 5", "o": "u + 2", "b": "o + 11", "r": 19}, "premises": {"r": 19}, "target": "h"}, "answer": {"steps": [["k", "y + 13", "y + 26"], ["y", "c + 7", "c + 33"], ["c", "n + 11", "n + 44"], ["n", "v + 15", "v + 59"], ["v", "r + 2", "r + 61"], ["r", 19, "80"]], "target_var_name": "h", "target_value": 80, "value_dict": {"r": 19}, "is_reverse": true}} | 14,191 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 13; n = v + 15; b = o + 11; h = k + 13; o = u + 2; c = n + 11; y = c + 7; r = 19; u = z + 5; q = r + 3; v = r + 2; p = q + 9; z = p + 20. If r = 19, what is the resulting value of h?",
"role": "user... | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 13 to h, which gives h = y + 26.\n2. Substitute y = c + 7 to h, which gives h = c + 33.\n3. Substitute c = n + 11 to h, which gives h = n + 44.\n4. Substitute n = v + 15 to h, which gives h = v + 59.\n5. Substitute v = r + 2 to h, which gives h = r + 61.\n6. Substitute r = 19 to h, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 14191,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 13; n = v + 15; b = o + 11; h = k + 13; o = u + 2; c = n + 11; y = c + 7; r = 19; u = z + 5; q = r + 3; v = r + 2; p = q + 9; z = p + 20. If r = 19, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 8", "c": "n + 8", "o": "c + 1", "u": "o + 3", "g": "u + 3", "t": "g + 7", "m": "v + 15", "f": "m + 11", "y": "f + 18", "w": "y + 15", "z": "w + 15", "a": "z + 4", "v": 4}, "premises": {"v": 4}, "target": "t"}, "answer": {"steps": [["g", "u + 3", "u + 10"], ["u", "o + 3", "o + 13"], ["o", "c + 1", "c + 14"], ["c", "n + 8", "n + 22"], ["n", "v + 8", "v + 30"], ["v", 4, "34"]], "target_var_name": "t", "target_value": 34, "value_dict": {"v": 4}, "is_reverse": true}} | 14,192 | 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 = 4; g = u + 3; t = g + 7; y = f + 18; a = z + 4; u = o + 3; z = w + 15; o = c + 1; f = m + 11; w = y + 15; c = n + 8; m = v + 15; n = v + 8. If v = 4, what is the resulting value of t?",
"role": "user"
... | math | {
"ground_truth": 34,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 3 to t, which gives t = u + 10.\n2. Substitute u = o + 3 to t, which gives t = o + 13.\n3. Substitute o = c + 1 to t, which gives t = c + 14.\n4. Substitute c = n + 8 to t, which gives t = n + 22.\n5. Substitute n = v + 8 to t, which gives t = v + 30.\n6. Substitute v = 4 to t, which gives t = 34.\n\nThus, the final answer is t = \\boxed{34}.",
"index": 14192,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = 4; g = u + 3; t = g + 7; y = f + 18; a = z + 4; u = o + 3; z = w + 15; o = c + 1; f = m + 11; w = y + 15; c = n + 8; m = v + 15; n = v + 8. If v = 4, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 4", "g": "z + 5", "w": "g + 3", "l": "w + 12", "h": "l + 6", "a": "h + 11", "x": "n + 17", "y": "x + 17", "r": "y + 3", "t": "r + 19", "p": "t + 2", "b": "p + 10", "n": 6}, "premises": {"n": 6}, "target": "a"}, "answer": {"steps": [["h", "l + 6", "l + 17"], ["l", "w + 12", "w + 29"], ["w", "g + 3", "g + 32"], ["g", "z + 5", "z + 37"], ["z", "n + 4", "n + 41"], ["n", 6, "47"]], "target_var_name": "a", "target_value": 47, "value_dict": {"n": 6}, "is_reverse": true}} | 14,193 | 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; x = n + 17; n = 6; b = p + 10; l = w + 12; p = t + 2; y = x + 17; t = r + 19; r = y + 3; h = l + 6; a = h + 11; w = g + 3; g = z + 5. Given that n = 6, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 6 to a, which gives a = l + 17.\n2. Substitute l = w + 12 to a, which gives a = w + 29.\n3. Substitute w = g + 3 to a, which gives a = g + 32.\n4. Substitute g = z + 5 to a, which gives a = z + 37.\n5. Substitute z = n + 4 to a, which gives a = n + 41.\n6. Substitute n = 6 to a, which gives a = 47.\n\nThus, the final answer is a = \\boxed{47}.",
"index": 14193,
"question": "Suppose a collection of variables is related by the following definitions: z = n + 4; x = n + 17; n = 6; b = p + 10; l = w + 12; p = t + 2; y = x + 17; t = r + 19; r = y + 3; h = l + 6; a = h + 11; w = g + 3; g = z + 5. Given that n = 6, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"i": "l + 6", "j": "i + 3", "t": "j + 13", "n": "t + 8", "y": "n + 6", "w": "y + 5", "q": "l + 11", "p": "q + 6", "o": "p + 2", "u": "o + 18", "z": "u + 12", "h": "z + 9", "l": 7}, "premises": {"l": 7}, "target": "w"}, "answer": {"steps": [["y", "n + 6", "n + 11"], ["n", "t + 8", "t + 19"], ["t", "j + 13", "j + 32"], ["j", "i + 3", "i + 35"], ["i", "l + 6", "l + 41"], ["l", 7, "48"]], "target_var_name": "w", "target_value": 48, "value_dict": {"l": 7}, "is_reverse": true}} | 14,194 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = o + 18; q = l + 11; z = u + 12; i = l + 6; n = t + 8; p = q + 6; h = z + 9; o = p + 2; y = n + 6; w = y + 5; l = 7; t = j + 13; j = i + 3. If l = 7, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 6 to w, which gives w = n + 11.\n2. Substitute n = t + 8 to w, which gives w = t + 19.\n3. Substitute t = j + 13 to w, which gives w = j + 32.\n4. Substitute j = i + 3 to w, which gives w = i + 35.\n5. Substitute i = l + 6 to w, which gives w = l + 41.\n6. Substitute l = 7 to w, which gives w = 48.\n\nThus, the final answer is w = \\boxed{48}.",
"index": 14194,
"question": "Consider a system of variables where each variable is defined as follows: u = o + 18; q = l + 11; z = u + 12; i = l + 6; n = t + 8; p = q + 6; h = z + 9; o = p + 2; y = n + 6; w = y + 5; l = 7; t = j + 13; j = i + 3. If l = 7, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 1", "q": "u + 12", "f": "q + 17", "g": "f + 17", "a": "g + 19", "r": "a + 10", "d": "t + 10", "n": "d + 20", "h": "n + 10", "k": "h + 11", "l": "k + 17", "i": "l + 11", "t": 6}, "premises": {"t": 6}, "target": "r"}, "answer": {"steps": [["a", "g + 19", "g + 29"], ["g", "f + 17", "f + 46"], ["f", "q + 17", "q + 63"], ["q", "u + 12", "u + 75"], ["u", "t + 1", "t + 76"], ["t", 6, "82"]], "target_var_name": "r", "target_value": 82, "value_dict": {"t": 6}, "is_reverse": true}} | 14,195 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = f + 17; r = a + 10; l = k + 17; d = t + 10; h = n + 10; t = 6; q = u + 12; f = q + 17; k = h + 11; n = d + 20; i = l + 11; a = g + 19; u = t + 1. Given that t = 6, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 19 to r, which gives r = g + 29.\n2. Substitute g = f + 17 to r, which gives r = f + 46.\n3. Substitute f = q + 17 to r, which gives r = q + 63.\n4. Substitute q = u + 12 to r, which gives r = u + 75.\n5. Substitute u = t + 1 to r, which gives r = t + 76.\n6. Substitute t = 6 to r, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 14195,
"question": "Suppose a collection of variables is related by the following definitions: g = f + 17; r = a + 10; l = k + 17; d = t + 10; h = n + 10; t = 6; q = u + 12; f = q + 17; k = h + 11; n = d + 20; i = l + 11; a = g + 19; u = t + 1. Given that t = 6, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 9", "l": "r + 20", "y": "l + 18", "d": "y + 8", "z": "d + 15", "f": "z + 16", "i": "c + 19", "a": "i + 19", "q": "a + 9", "g": "q + 14", "k": "g + 9", "h": "k + 12", "c": 17}, "premises": {"c": 17}, "target": "f"}, "answer": {"steps": [["z", "d + 15", "d + 31"], ["d", "y + 8", "y + 39"], ["y", "l + 18", "l + 57"], ["l", "r + 20", "r + 77"], ["r", "c + 9", "c + 86"], ["c", 17, "103"]], "target_var_name": "f", "target_value": 103, "value_dict": {"c": 17}, "is_reverse": true}} | 14,196 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = c + 19; a = i + 19; c = 17; r = c + 9; y = l + 18; d = y + 8; q = a + 9; h = k + 12; z = d + 15; l = r + 20; k = g + 9; f = z + 16; g = q + 14. If c = 17, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 15 to f, which gives f = d + 31.\n2. Substitute d = y + 8 to f, which gives f = y + 39.\n3. Substitute y = l + 18 to f, which gives f = l + 57.\n4. Substitute l = r + 20 to f, which gives f = r + 77.\n5. Substitute r = c + 9 to f, which gives f = c + 86.\n6. Substitute c = 17 to f, which gives f = 103.\n\nThus, the final answer is f = \\boxed{103}.",
"index": 14196,
"question": "Consider a system of variables where each variable is defined as follows: i = c + 19; a = i + 19; c = 17; r = c + 9; y = l + 18; d = y + 8; q = a + 9; h = k + 12; z = d + 15; l = r + 20; k = g + 9; f = z + 16; g = q + 14. If c = 17, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 15", "z": "t + 12", "d": "z + 1", "g": "d + 11", "f": "g + 8", "w": "f + 13", "i": "m + 20", "v": "i + 14", "y": "v + 1", "l": "y + 1", "q": "l + 10", "s": "q + 16", "m": 4}, "premises": {"m": 4}, "target": "w"}, "answer": {"steps": [["f", "g + 8", "g + 21"], ["g", "d + 11", "d + 32"], ["d", "z + 1", "z + 33"], ["z", "t + 12", "t + 45"], ["t", "m + 15", "m + 60"], ["m", 4, "64"]], "target_var_name": "w", "target_value": 64, "value_dict": {"m": 4}, "is_reverse": true}} | 14,197 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = f + 13; v = i + 14; g = d + 11; m = 4; s = q + 16; t = m + 15; f = g + 8; l = y + 1; y = v + 1; z = t + 12; d = z + 1; i = m + 20; q = l + 10. If m = 4, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 8 to w, which gives w = g + 21.\n2. Substitute g = d + 11 to w, which gives w = d + 32.\n3. Substitute d = z + 1 to w, which gives w = z + 33.\n4. Substitute z = t + 12 to w, which gives w = t + 45.\n5. Substitute t = m + 15 to w, which gives w = m + 60.\n6. Substitute m = 4 to w, which gives w = 64.\n\nThus, the final answer is w = \\boxed{64}.",
"index": 14197,
"question": "Consider a system of variables where each variable is defined as follows: w = f + 13; v = i + 14; g = d + 11; m = 4; s = q + 16; t = m + 15; f = g + 8; l = y + 1; y = v + 1; z = t + 12; d = z + 1; i = m + 20; q = l + 10. If m = 4, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 10", "h": "o + 17", "e": "h + 6", "q": "e + 12", "n": "q + 20", "c": "n + 2", "v": "f + 5", "r": "v + 5", "a": "r + 9", "w": "a + 6", "k": "w + 5", "s": "k + 18", "f": 18}, "premises": {"f": 18}, "target": "c"}, "answer": {"steps": [["n", "q + 20", "q + 22"], ["q", "e + 12", "e + 34"], ["e", "h + 6", "h + 40"], ["h", "o + 17", "o + 57"], ["o", "f + 10", "f + 67"], ["f", 18, "85"]], "target_var_name": "c", "target_value": 85, "value_dict": {"f": 18}, "is_reverse": true}} | 14,198 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = a + 6; v = f + 5; h = o + 17; k = w + 5; r = v + 5; e = h + 6; a = r + 9; s = k + 18; c = n + 2; q = e + 12; n = q + 20; o = f + 10; f = 18. Given that f = 18, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 20 to c, which gives c = q + 22.\n2. Substitute q = e + 12 to c, which gives c = e + 34.\n3. Substitute e = h + 6 to c, which gives c = h + 40.\n4. Substitute h = o + 17 to c, which gives c = o + 57.\n5. Substitute o = f + 10 to c, which gives c = f + 67.\n6. Substitute f = 18 to c, which gives c = 85.\n\nThus, the final answer is c = \\boxed{85}.",
"index": 14198,
"question": "Suppose a collection of variables is related by the following definitions: w = a + 6; v = f + 5; h = o + 17; k = w + 5; r = v + 5; e = h + 6; a = r + 9; s = k + 18; c = n + 2; q = e + 12; n = q + 20; o = f + 10; f = 18. Given that f = 18, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 7", "y": "r + 5", "d": "y + 9", "i": "d + 3", "k": "i + 17", "t": "k + 12", "w": "z + 6", "l": "w + 4", "v": "l + 13", "b": "v + 18", "e": "b + 1", "h": "e + 2", "z": 19}, "premises": {"z": 19}, "target": "t"}, "answer": {"steps": [["k", "i + 17", "i + 29"], ["i", "d + 3", "d + 32"], ["d", "y + 9", "y + 41"], ["y", "r + 5", "r + 46"], ["r", "z + 7", "z + 53"], ["z", 19, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"z": 19}, "is_reverse": true}} | 14,199 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = r + 5; l = w + 4; k = i + 17; h = e + 2; b = v + 18; t = k + 12; d = y + 9; r = z + 7; e = b + 1; w = z + 6; z = 19; i = d + 3; v = l + 13. Given that z = 19, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 17 to t, which gives t = i + 29.\n2. Substitute i = d + 3 to t, which gives t = d + 32.\n3. Substitute d = y + 9 to t, which gives t = y + 41.\n4. Substitute y = r + 5 to t, which gives t = r + 46.\n5. Substitute r = z + 7 to t, which gives t = z + 53.\n6. Substitute z = 19 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 14199,
"question": "Suppose a collection of variables is related by the following definitions: y = r + 5; l = w + 4; k = i + 17; h = e + 2; b = v + 18; t = k + 12; d = y + 9; r = z + 7; e = b + 1; w = z + 6; z = 19; i = d + 3; v = l + 13. Given that z = 19, find the value of t.",
"split": "train"
} |
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