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": {"t": "i + 17", "r": "t + 6", "m": "r + 17", "g": "m + 10", "s": "g + 4", "l": "s + 8", "f": "i + 7", "v": "f + 18", "b": "v + 11", "k": "b + 1", "o": "k + 16", "y": "o + 4", "i": 18}, "premises": {"i": 18}, "target": "l"}, "answer": {"steps": [["s", "g + 4", "g + 12"], ["g", "m + 10", "m + 22"], ["m", "r + 17", "r + 39"], ["r", "t + 6", "t + 45"], ["t", "i + 17", "i + 62"], ["i", 18, "80"]], "target_var_name": "l", "target_value": 80, "value_dict": {"i": 18}, "is_reverse": true}} | 14,000 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = g + 4; t = i + 17; l = s + 8; k = b + 1; r = t + 6; f = i + 7; i = 18; g = m + 10; y = o + 4; b = v + 11; v = f + 18; m = r + 17; o = k + 16. If i = 18, what is the resulting value of l?",
"role": "user... | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 4 to l, which gives l = g + 12.\n2. Substitute g = m + 10 to l, which gives l = m + 22.\n3. Substitute m = r + 17 to l, which gives l = r + 39.\n4. Substitute r = t + 6 to l, which gives l = t + 45.\n5. Substitute t = i + 17 to l, which gives l = i + 62.\n6. Substitute i = 18 to l, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 14000,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = g + 4; t = i + 17; l = s + 8; k = b + 1; r = t + 6; f = i + 7; i = 18; g = m + 10; y = o + 4; b = v + 11; v = f + 18; m = r + 17; o = k + 16. If i = 18, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"q": "m + 15", "f": "q + 20", "b": "f + 16", "x": "b + 4", "v": "x + 5", "j": "v + 15", "n": "m + 9", "y": "n + 6", "e": "y + 9", "c": "e + 2", "r": "c + 3", "t": "r + 19", "m": 19}, "premises": {"m": 19}, "target": "j"}, "answer": {"steps": [["v", "x + 5", "x + 20"], ["x", "b + 4", "b + 24"], ["b", "f + 16", "f + 40"], ["f", "q + 20", "q + 60"], ["q", "m + 15", "m + 75"], ["m", 19, "94"]], "target_var_name": "j", "target_value": 94, "value_dict": {"m": 19}, "is_reverse": true}} | 14,001 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = b + 4; v = x + 5; t = r + 19; f = q + 20; b = f + 16; y = n + 6; j = v + 15; e = y + 9; q = m + 15; n = m + 9; m = 19; c = e + 2; r = c + 3. If m = 19, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 5 to j, which gives j = x + 20.\n2. Substitute x = b + 4 to j, which gives j = b + 24.\n3. Substitute b = f + 16 to j, which gives j = f + 40.\n4. Substitute f = q + 20 to j, which gives j = q + 60.\n5. Substitute q = m + 15 to j, which gives j = m + 75.\n6. Substitute m = 19 to j, which gives j = 94.\n\nThus, the final answer is j = \\boxed{94}.",
"index": 14001,
"question": "Consider a system of variables where each variable is defined as follows: x = b + 4; v = x + 5; t = r + 19; f = q + 20; b = f + 16; y = n + 6; j = v + 15; e = y + 9; q = m + 15; n = m + 9; m = 19; c = e + 2; r = c + 3. If m = 19, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 19", "o": "k + 1", "i": "o + 13", "h": "i + 14", "p": "h + 9", "g": "p + 18", "t": "y + 3", "e": "t + 10", "j": "e + 16", "l": "j + 12", "q": "l + 4", "x": "q + 12", "y": 20}, "premises": {"y": 20}, "target": "g"}, "answer": {"steps": [["p", "h + 9", "h + 27"], ["h", "i + 14", "i + 41"], ["i", "o + 13", "o + 54"], ["o", "k + 1", "k + 55"], ["k", "y + 19", "y + 74"], ["y", 20, "94"]], "target_var_name": "g", "target_value": 94, "value_dict": {"y": 20}, "is_reverse": true}} | 14,002 | 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 = h + 9; y = 20; l = j + 12; j = e + 16; t = y + 3; q = l + 4; o = k + 1; i = o + 13; g = p + 18; k = y + 19; e = t + 10; h = i + 14; x = q + 12. If y = 20, what is the resulting value of g?",
"role": "us... | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 9 to g, which gives g = h + 27.\n2. Substitute h = i + 14 to g, which gives g = i + 41.\n3. Substitute i = o + 13 to g, which gives g = o + 54.\n4. Substitute o = k + 1 to g, which gives g = k + 55.\n5. Substitute k = y + 19 to g, which gives g = y + 74.\n6. Substitute y = 20 to g, which gives g = 94.\n\nThus, the final answer is g = \\boxed{94}.",
"index": 14002,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = h + 9; y = 20; l = j + 12; j = e + 16; t = y + 3; q = l + 4; o = k + 1; i = o + 13; g = p + 18; k = y + 19; e = t + 10; h = i + 14; x = q + 12. If y = 20, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"l": "e + 15", "t": "l + 10", "f": "t + 1", "z": "f + 10", "h": "z + 20", "r": "h + 2", "c": "e + 5", "a": "c + 16", "o": "a + 14", "j": "o + 17", "w": "j + 2", "u": "w + 3", "e": 17}, "premises": {"e": 17}, "target": "r"}, "answer": {"steps": [["h", "z + 20", "z + 22"], ["z", "f + 10", "f + 32"], ["f", "t + 1", "t + 33"], ["t", "l + 10", "l + 43"], ["l", "e + 15", "e + 58"], ["e", 17, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"e": 17}, "is_reverse": true}} | 14,003 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = o + 17; l = e + 15; w = j + 2; u = w + 3; o = a + 14; r = h + 2; e = 17; c = e + 5; h = z + 20; a = c + 16; z = f + 10; t = l + 10; f = t + 1. Given that e = 17, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 20 to r, which gives r = z + 22.\n2. Substitute z = f + 10 to r, which gives r = f + 32.\n3. Substitute f = t + 1 to r, which gives r = t + 33.\n4. Substitute t = l + 10 to r, which gives r = l + 43.\n5. Substitute l = e + 15 to r, which gives r = e + 58.\n6. Substitute e = 17 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 14003,
"question": "Suppose a collection of variables is related by the following definitions: j = o + 17; l = e + 15; w = j + 2; u = w + 3; o = a + 14; r = h + 2; e = 17; c = e + 5; h = z + 20; a = c + 16; z = f + 10; t = l + 10; f = t + 1. Given that e = 17, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"e": "y + 7", "f": "e + 1", "k": "f + 5", "x": "k + 15", "i": "x + 15", "g": "i + 12", "r": "y + 11", "q": "r + 12", "z": "q + 20", "a": "z + 5", "v": "a + 19", "h": "v + 6", "y": 9}, "premises": {"y": 9}, "target": "g"}, "answer": {"steps": [["i", "x + 15", "x + 27"], ["x", "k + 15", "k + 42"], ["k", "f + 5", "f + 47"], ["f", "e + 1", "e + 48"], ["e", "y + 7", "y + 55"], ["y", 9, "64"]], "target_var_name": "g", "target_value": 64, "value_dict": {"y": 9}, "is_reverse": true}} | 14,004 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = z + 5; g = i + 12; i = x + 15; h = v + 6; x = k + 15; v = a + 19; q = r + 12; y = 9; r = y + 11; k = f + 5; z = q + 20; f = e + 1; e = y + 7. If y = 9, what is the resulting value of g?",
"role": "user"... | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 15 to g, which gives g = x + 27.\n2. Substitute x = k + 15 to g, which gives g = k + 42.\n3. Substitute k = f + 5 to g, which gives g = f + 47.\n4. Substitute f = e + 1 to g, which gives g = e + 48.\n5. Substitute e = y + 7 to g, which gives g = y + 55.\n6. Substitute y = 9 to g, which gives g = 64.\n\nThus, the final answer is g = \\boxed{64}.",
"index": 14004,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = z + 5; g = i + 12; i = x + 15; h = v + 6; x = k + 15; v = a + 19; q = r + 12; y = 9; r = y + 11; k = f + 5; z = q + 20; f = e + 1; e = y + 7. If y = 9, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"b": "h + 10", "i": "b + 13", "f": "i + 15", "v": "f + 1", "q": "v + 14", "c": "q + 8", "d": "h + 13", "k": "d + 9", "r": "k + 5", "y": "r + 8", "m": "y + 19", "x": "m + 5", "h": 15}, "premises": {"h": 15}, "target": "c"}, "answer": {"steps": [["q", "v + 14", "v + 22"], ["v", "f + 1", "f + 23"], ["f", "i + 15", "i + 38"], ["i", "b + 13", "b + 51"], ["b", "h + 10", "h + 61"], ["h", 15, "76"]], "target_var_name": "c", "target_value": 76, "value_dict": {"h": 15}, "is_reverse": true}} | 14,005 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 9; h = 15; c = q + 8; y = r + 8; x = m + 5; q = v + 14; d = h + 13; i = b + 13; f = i + 15; r = k + 5; m = y + 19; b = h + 10; v = f + 1. If h = 15, what is the resulting value of c?",
"role": "user... | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 14 to c, which gives c = v + 22.\n2. Substitute v = f + 1 to c, which gives c = f + 23.\n3. Substitute f = i + 15 to c, which gives c = i + 38.\n4. Substitute i = b + 13 to c, which gives c = b + 51.\n5. Substitute b = h + 10 to c, which gives c = h + 61.\n6. Substitute h = 15 to c, which gives c = 76.\n\nThus, the final answer is c = \\boxed{76}.",
"index": 14005,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 9; h = 15; c = q + 8; y = r + 8; x = m + 5; q = v + 14; d = h + 13; i = b + 13; f = i + 15; r = k + 5; m = y + 19; b = h + 10; v = f + 1. If h = 15, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 2", "r": "l + 2", "b": "r + 4", "x": "b + 14", "s": "x + 8", "d": "s + 3", "w": "p + 14", "c": "w + 18", "q": "c + 16", "e": "q + 11", "k": "e + 14", "g": "k + 5", "p": 8}, "premises": {"p": 8}, "target": "d"}, "answer": {"steps": [["s", "x + 8", "x + 11"], ["x", "b + 14", "b + 25"], ["b", "r + 4", "r + 29"], ["r", "l + 2", "l + 31"], ["l", "p + 2", "p + 33"], ["p", 8, "41"]], "target_var_name": "d", "target_value": 41, "value_dict": {"p": 8}, "is_reverse": true}} | 14,006 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = 8; k = e + 14; b = r + 4; e = q + 11; x = b + 14; q = c + 16; g = k + 5; d = s + 3; w = p + 14; r = l + 2; l = p + 2; c = w + 18; s = x + 8. Given that p = 8, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 8 to d, which gives d = x + 11.\n2. Substitute x = b + 14 to d, which gives d = b + 25.\n3. Substitute b = r + 4 to d, which gives d = r + 29.\n4. Substitute r = l + 2 to d, which gives d = l + 31.\n5. Substitute l = p + 2 to d, which gives d = p + 33.\n6. Substitute p = 8 to d, which gives d = 41.\n\nThus, the final answer is d = \\boxed{41}.",
"index": 14006,
"question": "Suppose a collection of variables is related by the following definitions: p = 8; k = e + 14; b = r + 4; e = q + 11; x = b + 14; q = c + 16; g = k + 5; d = s + 3; w = p + 14; r = l + 2; l = p + 2; c = w + 18; s = x + 8. Given that p = 8, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 16", "u": "n + 17", "z": "u + 9", "v": "z + 4", "g": "v + 17", "s": "g + 13", "h": "b + 18", "f": "h + 11", "l": "f + 3", "o": "l + 1", "c": "o + 19", "m": "c + 13", "b": 7}, "premises": {"b": 7}, "target": "s"}, "answer": {"steps": [["g", "v + 17", "v + 30"], ["v", "z + 4", "z + 34"], ["z", "u + 9", "u + 43"], ["u", "n + 17", "n + 60"], ["n", "b + 16", "b + 76"], ["b", 7, "83"]], "target_var_name": "s", "target_value": 83, "value_dict": {"b": 7}, "is_reverse": true}} | 14,007 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = b + 16; z = u + 9; o = l + 1; h = b + 18; s = g + 13; b = 7; g = v + 17; v = z + 4; m = c + 13; f = h + 11; c = o + 19; u = n + 17; l = f + 3. If b = 7, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 17 to s, which gives s = v + 30.\n2. Substitute v = z + 4 to s, which gives s = z + 34.\n3. Substitute z = u + 9 to s, which gives s = u + 43.\n4. Substitute u = n + 17 to s, which gives s = n + 60.\n5. Substitute n = b + 16 to s, which gives s = b + 76.\n6. Substitute b = 7 to s, which gives s = 83.\n\nThus, the final answer is s = \\boxed{83}.",
"index": 14007,
"question": "Consider a system of variables where each variable is defined as follows: n = b + 16; z = u + 9; o = l + 1; h = b + 18; s = g + 13; b = 7; g = v + 17; v = z + 4; m = c + 13; f = h + 11; c = o + 19; u = n + 17; l = f + 3. If b = 7, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"b": "l + 7", "i": "b + 19", "g": "i + 13", "a": "g + 15", "j": "a + 13", "o": "j + 7", "f": "l + 8", "t": "f + 13", "s": "t + 17", "y": "s + 13", "u": "y + 2", "w": "u + 14", "l": 11}, "premises": {"l": 11}, "target": "o"}, "answer": {"steps": [["j", "a + 13", "a + 20"], ["a", "g + 15", "g + 35"], ["g", "i + 13", "i + 48"], ["i", "b + 19", "b + 67"], ["b", "l + 7", "l + 74"], ["l", 11, "85"]], "target_var_name": "o", "target_value": 85, "value_dict": {"l": 11}, "is_reverse": true}} | 14,008 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = l + 8; l = 11; y = s + 13; t = f + 13; a = g + 15; u = y + 2; o = j + 7; s = t + 17; i = b + 19; b = l + 7; w = u + 14; j = a + 13; g = i + 13. Given that l = 11, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 13 to o, which gives o = a + 20.\n2. Substitute a = g + 15 to o, which gives o = g + 35.\n3. Substitute g = i + 13 to o, which gives o = i + 48.\n4. Substitute i = b + 19 to o, which gives o = b + 67.\n5. Substitute b = l + 7 to o, which gives o = l + 74.\n6. Substitute l = 11 to o, which gives o = 85.\n\nThus, the final answer is o = \\boxed{85}.",
"index": 14008,
"question": "Suppose a collection of variables is related by the following definitions: f = l + 8; l = 11; y = s + 13; t = f + 13; a = g + 15; u = y + 2; o = j + 7; s = t + 17; i = b + 19; b = l + 7; w = u + 14; j = a + 13; g = i + 13. Given that l = 11, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 18", "h": "v + 4", "d": "h + 12", "e": "d + 2", "j": "e + 8", "l": "j + 16", "s": "x + 12", "t": "s + 12", "r": "t + 16", "p": "r + 10", "o": "p + 6", "n": "o + 7", "x": 19}, "premises": {"x": 19}, "target": "l"}, "answer": {"steps": [["j", "e + 8", "e + 24"], ["e", "d + 2", "d + 26"], ["d", "h + 12", "h + 38"], ["h", "v + 4", "v + 42"], ["v", "x + 18", "x + 60"], ["x", 19, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"x": 19}, "is_reverse": true}} | 14,009 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 6; t = s + 12; l = j + 16; s = x + 12; v = x + 18; r = t + 16; e = d + 2; n = o + 7; d = h + 12; p = r + 10; x = 19; j = e + 8; h = v + 4. If x = 19, what is the resulting value of l?",
"role": "use... | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 8 to l, which gives l = e + 24.\n2. Substitute e = d + 2 to l, which gives l = d + 26.\n3. Substitute d = h + 12 to l, which gives l = h + 38.\n4. Substitute h = v + 4 to l, which gives l = v + 42.\n5. Substitute v = x + 18 to l, which gives l = x + 60.\n6. Substitute x = 19 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 14009,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 6; t = s + 12; l = j + 16; s = x + 12; v = x + 18; r = t + 16; e = d + 2; n = o + 7; d = h + 12; p = r + 10; x = 19; j = e + 8; h = v + 4. If x = 19, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 1", "t": "f + 17", "n": "t + 6", "b": "n + 17", "z": "b + 14", "j": "z + 7", "p": "e + 5", "r": "p + 13", "a": "r + 12", "k": "a + 4", "i": "k + 2", "s": "i + 10", "e": 14}, "premises": {"e": 14}, "target": "j"}, "answer": {"steps": [["z", "b + 14", "b + 21"], ["b", "n + 17", "n + 38"], ["n", "t + 6", "t + 44"], ["t", "f + 17", "f + 61"], ["f", "e + 1", "e + 62"], ["e", 14, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"e": 14}, "is_reverse": true}} | 14,010 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = n + 17; a = r + 12; j = z + 7; k = a + 4; i = k + 2; z = b + 14; p = e + 5; n = t + 6; t = f + 17; r = p + 13; f = e + 1; s = i + 10; e = 14. If e = 14, what is the resulting value of j?",
"role": "user... | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 14 to j, which gives j = b + 21.\n2. Substitute b = n + 17 to j, which gives j = n + 38.\n3. Substitute n = t + 6 to j, which gives j = t + 44.\n4. Substitute t = f + 17 to j, which gives j = f + 61.\n5. Substitute f = e + 1 to j, which gives j = e + 62.\n6. Substitute e = 14 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 14010,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = n + 17; a = r + 12; j = z + 7; k = a + 4; i = k + 2; z = b + 14; p = e + 5; n = t + 6; t = f + 17; r = p + 13; f = e + 1; s = i + 10; e = 14. If e = 14, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 20", "p": "s + 2", "u": "p + 13", "x": "u + 12", "k": "x + 1", "v": "k + 20", "q": "c + 16", "f": "q + 12", "j": "f + 19", "y": "j + 16", "b": "y + 7", "i": "b + 12", "c": 13}, "premises": {"c": 13}, "target": "v"}, "answer": {"steps": [["k", "x + 1", "x + 21"], ["x", "u + 12", "u + 33"], ["u", "p + 13", "p + 46"], ["p", "s + 2", "s + 48"], ["s", "c + 20", "c + 68"], ["c", 13, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"c": 13}, "is_reverse": true}} | 14,011 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 16; i = b + 12; v = k + 20; f = q + 12; u = p + 13; j = f + 19; q = c + 16; x = u + 12; p = s + 2; b = y + 7; s = c + 20; c = 13; k = x + 1. If c = 13, what is the resulting value of v?",
"role": "u... | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 1 to v, which gives v = x + 21.\n2. Substitute x = u + 12 to v, which gives v = u + 33.\n3. Substitute u = p + 13 to v, which gives v = p + 46.\n4. Substitute p = s + 2 to v, which gives v = s + 48.\n5. Substitute s = c + 20 to v, which gives v = c + 68.\n6. Substitute c = 13 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 14011,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 16; i = b + 12; v = k + 20; f = q + 12; u = p + 13; j = f + 19; q = c + 16; x = u + 12; p = s + 2; b = y + 7; s = c + 20; c = 13; k = x + 1. If c = 13, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 8", "x": "y + 13", "c": "x + 8", "i": "c + 4", "s": "i + 13", "d": "s + 15", "j": "f + 5", "u": "j + 3", "n": "u + 17", "w": "n + 7", "r": "w + 18", "o": "r + 1", "f": 15}, "premises": {"f": 15}, "target": "d"}, "answer": {"steps": [["s", "i + 13", "i + 28"], ["i", "c + 4", "c + 32"], ["c", "x + 8", "x + 40"], ["x", "y + 13", "y + 53"], ["y", "f + 8", "f + 61"], ["f", 15, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"f": 15}, "is_reverse": true}} | 14,012 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = j + 3; w = n + 7; j = f + 5; y = f + 8; f = 15; r = w + 18; i = c + 4; n = u + 17; o = r + 1; s = i + 13; x = y + 13; d = s + 15; c = x + 8. Given that f = 15, find 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 s = i + 13 to d, which gives d = i + 28.\n2. Substitute i = c + 4 to d, which gives d = c + 32.\n3. Substitute c = x + 8 to d, which gives d = x + 40.\n4. Substitute x = y + 13 to d, which gives d = y + 53.\n5. Substitute y = f + 8 to d, which gives d = f + 61.\n6. Substitute f = 15 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 14012,
"question": "Suppose a collection of variables is related by the following definitions: u = j + 3; w = n + 7; j = f + 5; y = f + 8; f = 15; r = w + 18; i = c + 4; n = u + 17; o = r + 1; s = i + 13; x = y + 13; d = s + 15; c = x + 8. Given that f = 15, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"n": "p + 11", "j": "n + 12", "d": "j + 1", "b": "d + 13", "x": "b + 11", "u": "x + 11", "l": "p + 13", "k": "l + 17", "o": "k + 11", "a": "o + 20", "e": "a + 13", "s": "e + 7", "p": 2}, "premises": {"p": 2}, "target": "u"}, "answer": {"steps": [["x", "b + 11", "b + 22"], ["b", "d + 13", "d + 35"], ["d", "j + 1", "j + 36"], ["j", "n + 12", "n + 48"], ["n", "p + 11", "p + 59"], ["p", 2, "61"]], "target_var_name": "u", "target_value": 61, "value_dict": {"p": 2}, "is_reverse": true}} | 14,013 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = 2; d = j + 1; j = n + 12; k = l + 17; s = e + 7; o = k + 11; e = a + 13; n = p + 11; u = x + 11; l = p + 13; a = o + 20; b = d + 13; x = b + 11. If p = 2, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 11 to u, which gives u = b + 22.\n2. Substitute b = d + 13 to u, which gives u = d + 35.\n3. Substitute d = j + 1 to u, which gives u = j + 36.\n4. Substitute j = n + 12 to u, which gives u = n + 48.\n5. Substitute n = p + 11 to u, which gives u = p + 59.\n6. Substitute p = 2 to u, which gives u = 61.\n\nThus, the final answer is u = \\boxed{61}.",
"index": 14013,
"question": "Consider a system of variables where each variable is defined as follows: p = 2; d = j + 1; j = n + 12; k = l + 17; s = e + 7; o = k + 11; e = a + 13; n = p + 11; u = x + 11; l = p + 13; a = o + 20; b = d + 13; x = b + 11. If p = 2, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 2", "s": "g + 16", "b": "s + 14", "a": "b + 8", "n": "a + 11", "l": "n + 11", "c": "j + 3", "r": "c + 5", "w": "r + 8", "y": "w + 13", "t": "y + 14", "m": "t + 1", "j": 14}, "premises": {"j": 14}, "target": "l"}, "answer": {"steps": [["n", "a + 11", "a + 22"], ["a", "b + 8", "b + 30"], ["b", "s + 14", "s + 44"], ["s", "g + 16", "g + 60"], ["g", "j + 2", "j + 62"], ["j", 14, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"j": 14}, "is_reverse": true}} | 14,014 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 2; t = y + 14; m = t + 1; c = j + 3; s = g + 16; y = w + 13; a = b + 8; j = 14; b = s + 14; l = n + 11; r = c + 5; w = r + 8; n = a + 11. Given that j = 14, find the 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 n = a + 11 to l, which gives l = a + 22.\n2. Substitute a = b + 8 to l, which gives l = b + 30.\n3. Substitute b = s + 14 to l, which gives l = s + 44.\n4. Substitute s = g + 16 to l, which gives l = g + 60.\n5. Substitute g = j + 2 to l, which gives l = j + 62.\n6. Substitute j = 14 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 14014,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 2; t = y + 14; m = t + 1; c = j + 3; s = g + 16; y = w + 13; a = b + 8; j = 14; b = s + 14; l = n + 11; r = c + 5; w = r + 8; n = a + 11. Given that j = 14, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 15", "c": "h + 4", "v": "c + 4", "q": "v + 11", "g": "q + 4", "s": "g + 2", "t": "x + 12", "b": "t + 16", "m": "b + 1", "l": "m + 10", "k": "l + 9", "z": "k + 7", "x": 4}, "premises": {"x": 4}, "target": "s"}, "answer": {"steps": [["g", "q + 4", "q + 6"], ["q", "v + 11", "v + 17"], ["v", "c + 4", "c + 21"], ["c", "h + 4", "h + 25"], ["h", "x + 15", "x + 40"], ["x", 4, "44"]], "target_var_name": "s", "target_value": 44, "value_dict": {"x": 4}, "is_reverse": true}} | 14,015 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = b + 1; x = 4; s = g + 2; z = k + 7; t = x + 12; q = v + 11; k = l + 9; b = t + 16; v = c + 4; h = x + 15; g = q + 4; l = m + 10; c = h + 4. Given that x = 4, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 4 to s, which gives s = q + 6.\n2. Substitute q = v + 11 to s, which gives s = v + 17.\n3. Substitute v = c + 4 to s, which gives s = c + 21.\n4. Substitute c = h + 4 to s, which gives s = h + 25.\n5. Substitute h = x + 15 to s, which gives s = x + 40.\n6. Substitute x = 4 to s, which gives s = 44.\n\nThus, the final answer is s = \\boxed{44}.",
"index": 14015,
"question": "Suppose a collection of variables is related by the following definitions: m = b + 1; x = 4; s = g + 2; z = k + 7; t = x + 12; q = v + 11; k = l + 9; b = t + 16; v = c + 4; h = x + 15; g = q + 4; l = m + 10; c = h + 4. Given that x = 4, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 17", "r": "o + 2", "p": "r + 3", "j": "p + 10", "n": "j + 6", "e": "n + 3", "a": "b + 2", "k": "a + 6", "v": "k + 3", "w": "v + 8", "i": "w + 5", "q": "i + 12", "b": 7}, "premises": {"b": 7}, "target": "e"}, "answer": {"steps": [["n", "j + 6", "j + 9"], ["j", "p + 10", "p + 19"], ["p", "r + 3", "r + 22"], ["r", "o + 2", "o + 24"], ["o", "b + 17", "b + 41"], ["b", 7, "48"]], "target_var_name": "e", "target_value": 48, "value_dict": {"b": 7}, "is_reverse": true}} | 14,016 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = 7; a = b + 2; v = k + 3; i = w + 5; j = p + 10; p = r + 3; r = o + 2; n = j + 6; k = a + 6; q = i + 12; o = b + 17; e = n + 3; w = v + 8. Given that b = 7, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 6 to e, which gives e = j + 9.\n2. Substitute j = p + 10 to e, which gives e = p + 19.\n3. Substitute p = r + 3 to e, which gives e = r + 22.\n4. Substitute r = o + 2 to e, which gives e = o + 24.\n5. Substitute o = b + 17 to e, which gives e = b + 41.\n6. Substitute b = 7 to e, which gives e = 48.\n\nThus, the final answer is e = \\boxed{48}.",
"index": 14016,
"question": "Suppose a collection of variables is related by the following definitions: b = 7; a = b + 2; v = k + 3; i = w + 5; j = p + 10; p = r + 3; r = o + 2; n = j + 6; k = a + 6; q = i + 12; o = b + 17; e = n + 3; w = v + 8. Given that b = 7, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"u": "q + 5", "c": "u + 11", "d": "c + 10", "t": "d + 14", "n": "t + 2", "p": "n + 18", "w": "q + 4", "y": "w + 16", "k": "y + 14", "r": "k + 4", "e": "r + 20", "m": "e + 14", "q": 18}, "premises": {"q": 18}, "target": "p"}, "answer": {"steps": [["n", "t + 2", "t + 20"], ["t", "d + 14", "d + 34"], ["d", "c + 10", "c + 44"], ["c", "u + 11", "u + 55"], ["u", "q + 5", "q + 60"], ["q", 18, "78"]], "target_var_name": "p", "target_value": 78, "value_dict": {"q": 18}, "is_reverse": true}} | 14,017 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 5; w = q + 4; d = c + 10; y = w + 16; r = k + 4; n = t + 2; m = e + 14; p = n + 18; c = u + 11; k = y + 14; t = d + 14; e = r + 20; q = 18. If q = 18, what is the resulting value of p?",
"role": "us... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 2 to p, which gives p = t + 20.\n2. Substitute t = d + 14 to p, which gives p = d + 34.\n3. Substitute d = c + 10 to p, which gives p = c + 44.\n4. Substitute c = u + 11 to p, which gives p = u + 55.\n5. Substitute u = q + 5 to p, which gives p = q + 60.\n6. Substitute q = 18 to p, which gives p = 78.\n\nThus, the final answer is p = \\boxed{78}.",
"index": 14017,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 5; w = q + 4; d = c + 10; y = w + 16; r = k + 4; n = t + 2; m = e + 14; p = n + 18; c = u + 11; k = y + 14; t = d + 14; e = r + 20; q = 18. If q = 18, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 8", "f": "x + 17", "j": "f + 8", "q": "j + 2", "e": "q + 13", "z": "e + 9", "u": "a + 5", "v": "u + 7", "y": "v + 6", "g": "y + 10", "c": "g + 16", "i": "c + 18", "a": 14}, "premises": {"a": 14}, "target": "z"}, "answer": {"steps": [["e", "q + 13", "q + 22"], ["q", "j + 2", "j + 24"], ["j", "f + 8", "f + 32"], ["f", "x + 17", "x + 49"], ["x", "a + 8", "a + 57"], ["a", 14, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"a": 14}, "is_reverse": true}} | 14,018 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = c + 18; c = g + 16; f = x + 17; x = a + 8; v = u + 7; z = e + 9; q = j + 2; g = y + 10; u = a + 5; j = f + 8; e = q + 13; a = 14; y = v + 6. Given that a = 14, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 13 to z, which gives z = q + 22.\n2. Substitute q = j + 2 to z, which gives z = j + 24.\n3. Substitute j = f + 8 to z, which gives z = f + 32.\n4. Substitute f = x + 17 to z, which gives z = x + 49.\n5. Substitute x = a + 8 to z, which gives z = a + 57.\n6. Substitute a = 14 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 14018,
"question": "Suppose a collection of variables is related by the following definitions: i = c + 18; c = g + 16; f = x + 17; x = a + 8; v = u + 7; z = e + 9; q = j + 2; g = y + 10; u = a + 5; j = f + 8; e = q + 13; a = 14; y = v + 6. Given that a = 14, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 17", "k": "b + 8", "w": "k + 7", "m": "w + 3", "y": "m + 8", "f": "y + 5", "o": "g + 12", "c": "o + 5", "q": "c + 3", "s": "q + 8", "a": "s + 11", "h": "a + 2", "g": 18}, "premises": {"g": 18}, "target": "f"}, "answer": {"steps": [["y", "m + 8", "m + 13"], ["m", "w + 3", "w + 16"], ["w", "k + 7", "k + 23"], ["k", "b + 8", "b + 31"], ["b", "g + 17", "g + 48"], ["g", 18, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"g": 18}, "is_reverse": true}} | 14,019 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 17; s = q + 8; q = c + 3; h = a + 2; f = y + 5; w = k + 7; o = g + 12; y = m + 8; a = s + 11; g = 18; m = w + 3; c = o + 5; k = b + 8. If g = 18, what is the resulting value of f?",
"role": "user"
... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 8 to f, which gives f = m + 13.\n2. Substitute m = w + 3 to f, which gives f = w + 16.\n3. Substitute w = k + 7 to f, which gives f = k + 23.\n4. Substitute k = b + 8 to f, which gives f = b + 31.\n5. Substitute b = g + 17 to f, which gives f = g + 48.\n6. Substitute g = 18 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 14019,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 17; s = q + 8; q = c + 3; h = a + 2; f = y + 5; w = k + 7; o = g + 12; y = m + 8; a = s + 11; g = 18; m = w + 3; c = o + 5; k = b + 8. If g = 18, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"w": "f + 19", "v": "w + 17", "h": "v + 14", "x": "h + 18", "i": "x + 1", "b": "i + 11", "c": "f + 10", "o": "c + 20", "n": "o + 6", "g": "n + 12", "m": "g + 5", "d": "m + 14", "f": 10}, "premises": {"f": 10}, "target": "b"}, "answer": {"steps": [["i", "x + 1", "x + 12"], ["x", "h + 18", "h + 30"], ["h", "v + 14", "v + 44"], ["v", "w + 17", "w + 61"], ["w", "f + 19", "f + 80"], ["f", 10, "90"]], "target_var_name": "b", "target_value": 90, "value_dict": {"f": 10}, "is_reverse": true}} | 14,020 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = m + 14; b = i + 11; w = f + 19; n = o + 6; m = g + 5; h = v + 14; o = c + 20; g = n + 12; x = h + 18; v = w + 17; f = 10; i = x + 1; c = f + 10. If f = 10, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 1 to b, which gives b = x + 12.\n2. Substitute x = h + 18 to b, which gives b = h + 30.\n3. Substitute h = v + 14 to b, which gives b = v + 44.\n4. Substitute v = w + 17 to b, which gives b = w + 61.\n5. Substitute w = f + 19 to b, which gives b = f + 80.\n6. Substitute f = 10 to b, which gives b = 90.\n\nThus, the final answer is b = \\boxed{90}.",
"index": 14020,
"question": "Consider a system of variables where each variable is defined as follows: d = m + 14; b = i + 11; w = f + 19; n = o + 6; m = g + 5; h = v + 14; o = c + 20; g = n + 12; x = h + 18; v = w + 17; f = 10; i = x + 1; c = f + 10. If f = 10, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 9", "z": "g + 20", "n": "z + 6", "j": "n + 5", "y": "j + 20", "c": "y + 16", "e": "f + 6", "x": "e + 11", "q": "x + 5", "m": "q + 6", "p": "m + 1", "b": "p + 12", "f": 1}, "premises": {"f": 1}, "target": "c"}, "answer": {"steps": [["y", "j + 20", "j + 36"], ["j", "n + 5", "n + 41"], ["n", "z + 6", "z + 47"], ["z", "g + 20", "g + 67"], ["g", "f + 9", "f + 76"], ["f", 1, "77"]], "target_var_name": "c", "target_value": 77, "value_dict": {"f": 1}, "is_reverse": true}} | 14,021 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 5; b = p + 12; e = f + 6; q = x + 5; y = j + 20; f = 1; c = y + 16; n = z + 6; m = q + 6; p = m + 1; x = e + 11; g = f + 9; z = g + 20. If f = 1, what is the resulting value of c?",
"role": "user"
... | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 20 to c, which gives c = j + 36.\n2. Substitute j = n + 5 to c, which gives c = n + 41.\n3. Substitute n = z + 6 to c, which gives c = z + 47.\n4. Substitute z = g + 20 to c, which gives c = g + 67.\n5. Substitute g = f + 9 to c, which gives c = f + 76.\n6. Substitute f = 1 to c, which gives c = 77.\n\nThus, the final answer is c = \\boxed{77}.",
"index": 14021,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 5; b = p + 12; e = f + 6; q = x + 5; y = j + 20; f = 1; c = y + 16; n = z + 6; m = q + 6; p = m + 1; x = e + 11; g = f + 9; z = g + 20. If f = 1, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 17", "y": "m + 17", "v": "y + 10", "f": "v + 20", "g": "f + 7", "b": "g + 18", "s": "n + 12", "j": "s + 8", "p": "j + 6", "h": "p + 18", "z": "h + 4", "w": "z + 14", "n": 5}, "premises": {"n": 5}, "target": "b"}, "answer": {"steps": [["g", "f + 7", "f + 25"], ["f", "v + 20", "v + 45"], ["v", "y + 10", "y + 55"], ["y", "m + 17", "m + 72"], ["m", "n + 17", "n + 89"], ["n", 5, "94"]], "target_var_name": "b", "target_value": 94, "value_dict": {"n": 5}, "is_reverse": true}} | 14,022 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = m + 17; m = n + 17; s = n + 12; v = y + 10; j = s + 8; n = 5; w = z + 14; g = f + 7; h = p + 18; f = v + 20; p = j + 6; b = g + 18; z = h + 4. If n = 5, what is the resulting value of b?",
"role": "user... | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 7 to b, which gives b = f + 25.\n2. Substitute f = v + 20 to b, which gives b = v + 45.\n3. Substitute v = y + 10 to b, which gives b = y + 55.\n4. Substitute y = m + 17 to b, which gives b = m + 72.\n5. Substitute m = n + 17 to b, which gives b = n + 89.\n6. Substitute n = 5 to b, which gives b = 94.\n\nThus, the final answer is b = \\boxed{94}.",
"index": 14022,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = m + 17; m = n + 17; s = n + 12; v = y + 10; j = s + 8; n = 5; w = z + 14; g = f + 7; h = p + 18; f = v + 20; p = j + 6; b = g + 18; z = h + 4. If n = 5, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 7", "q": "s + 8", "u": "q + 4", "i": "u + 14", "b": "i + 9", "t": "b + 8", "m": "x + 7", "w": "m + 13", "z": "w + 16", "c": "z + 4", "v": "c + 20", "g": "v + 8", "x": 6}, "premises": {"x": 6}, "target": "t"}, "answer": {"steps": [["b", "i + 9", "i + 17"], ["i", "u + 14", "u + 31"], ["u", "q + 4", "q + 35"], ["q", "s + 8", "s + 43"], ["s", "x + 7", "x + 50"], ["x", 6, "56"]], "target_var_name": "t", "target_value": 56, "value_dict": {"x": 6}, "is_reverse": true}} | 14,023 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 16; i = u + 14; t = b + 8; b = i + 9; v = c + 20; w = m + 13; u = q + 4; g = v + 8; c = z + 4; s = x + 7; q = s + 8; m = x + 7; x = 6. Given that x = 6, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 9 to t, which gives t = i + 17.\n2. Substitute i = u + 14 to t, which gives t = u + 31.\n3. Substitute u = q + 4 to t, which gives t = q + 35.\n4. Substitute q = s + 8 to t, which gives t = s + 43.\n5. Substitute s = x + 7 to t, which gives t = x + 50.\n6. Substitute x = 6 to t, which gives t = 56.\n\nThus, the final answer is t = \\boxed{56}.",
"index": 14023,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 16; i = u + 14; t = b + 8; b = i + 9; v = c + 20; w = m + 13; u = q + 4; g = v + 8; c = z + 4; s = x + 7; q = s + 8; m = x + 7; x = 6. Given that x = 6, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 19", "d": "v + 12", "l": "d + 18", "p": "l + 19", "z": "p + 8", "q": "z + 4", "e": "c + 10", "o": "e + 17", "u": "o + 7", "k": "u + 20", "h": "k + 3", "i": "h + 3", "c": 7}, "premises": {"c": 7}, "target": "q"}, "answer": {"steps": [["z", "p + 8", "p + 12"], ["p", "l + 19", "l + 31"], ["l", "d + 18", "d + 49"], ["d", "v + 12", "v + 61"], ["v", "c + 19", "c + 80"], ["c", 7, "87"]], "target_var_name": "q", "target_value": 87, "value_dict": {"c": 7}, "is_reverse": true}} | 14,024 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 7; k = u + 20; p = l + 19; e = c + 10; z = p + 8; v = c + 19; h = k + 3; l = d + 18; i = h + 3; d = v + 12; q = z + 4; o = e + 17; c = 7. If c = 7, what is the resulting value of q?",
"role": "user"... | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 8 to q, which gives q = p + 12.\n2. Substitute p = l + 19 to q, which gives q = l + 31.\n3. Substitute l = d + 18 to q, which gives q = d + 49.\n4. Substitute d = v + 12 to q, which gives q = v + 61.\n5. Substitute v = c + 19 to q, which gives q = c + 80.\n6. Substitute c = 7 to q, which gives q = 87.\n\nThus, the final answer is q = \\boxed{87}.",
"index": 14024,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 7; k = u + 20; p = l + 19; e = c + 10; z = p + 8; v = c + 19; h = k + 3; l = d + 18; i = h + 3; d = v + 12; q = z + 4; o = e + 17; c = 7. If c = 7, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"p": "j + 3", "t": "p + 18", "q": "t + 16", "y": "q + 2", "e": "y + 17", "g": "e + 18", "x": "j + 4", "r": "x + 15", "d": "r + 16", "o": "d + 6", "n": "o + 9", "m": "n + 15", "j": 16}, "premises": {"j": 16}, "target": "g"}, "answer": {"steps": [["e", "y + 17", "y + 35"], ["y", "q + 2", "q + 37"], ["q", "t + 16", "t + 53"], ["t", "p + 18", "p + 71"], ["p", "j + 3", "j + 74"], ["j", 16, "90"]], "target_var_name": "g", "target_value": 90, "value_dict": {"j": 16}, "is_reverse": true}} | 14,025 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = e + 18; m = n + 15; r = x + 15; x = j + 4; e = y + 17; o = d + 6; q = t + 16; j = 16; p = j + 3; d = r + 16; t = p + 18; y = q + 2; n = o + 9. Given that j = 16, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 17 to g, which gives g = y + 35.\n2. Substitute y = q + 2 to g, which gives g = q + 37.\n3. Substitute q = t + 16 to g, which gives g = t + 53.\n4. Substitute t = p + 18 to g, which gives g = p + 71.\n5. Substitute p = j + 3 to g, which gives g = j + 74.\n6. Substitute j = 16 to g, which gives g = 90.\n\nThus, the final answer is g = \\boxed{90}.",
"index": 14025,
"question": "Suppose a collection of variables is related by the following definitions: g = e + 18; m = n + 15; r = x + 15; x = j + 4; e = y + 17; o = d + 6; q = t + 16; j = 16; p = j + 3; d = r + 16; t = p + 18; y = q + 2; n = o + 9. Given that j = 16, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 20", "a": "m + 17", "z": "a + 14", "u": "z + 4", "g": "u + 11", "b": "g + 17", "h": "n + 6", "c": "h + 13", "w": "c + 20", "q": "w + 5", "d": "q + 20", "x": "d + 18", "n": 2}, "premises": {"n": 2}, "target": "b"}, "answer": {"steps": [["g", "u + 11", "u + 28"], ["u", "z + 4", "z + 32"], ["z", "a + 14", "a + 46"], ["a", "m + 17", "m + 63"], ["m", "n + 20", "n + 83"], ["n", 2, "85"]], "target_var_name": "b", "target_value": 85, "value_dict": {"n": 2}, "is_reverse": true}} | 14,026 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = d + 18; w = c + 20; b = g + 17; q = w + 5; n = 2; c = h + 13; m = n + 20; g = u + 11; h = n + 6; a = m + 17; u = z + 4; d = q + 20; z = a + 14. If n = 2, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 11 to b, which gives b = u + 28.\n2. Substitute u = z + 4 to b, which gives b = z + 32.\n3. Substitute z = a + 14 to b, which gives b = a + 46.\n4. Substitute a = m + 17 to b, which gives b = m + 63.\n5. Substitute m = n + 20 to b, which gives b = n + 83.\n6. Substitute n = 2 to b, which gives b = 85.\n\nThus, the final answer is b = \\boxed{85}.",
"index": 14026,
"question": "Consider a system of variables where each variable is defined as follows: x = d + 18; w = c + 20; b = g + 17; q = w + 5; n = 2; c = h + 13; m = n + 20; g = u + 11; h = n + 6; a = m + 17; u = z + 4; d = q + 20; z = a + 14. If n = 2, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"q": "b + 13", "p": "q + 3", "w": "p + 9", "x": "w + 14", "j": "x + 16", "v": "j + 16", "i": "b + 9", "m": "i + 17", "k": "m + 19", "d": "k + 14", "l": "d + 11", "s": "l + 13", "b": 5}, "premises": {"b": 5}, "target": "v"}, "answer": {"steps": [["j", "x + 16", "x + 32"], ["x", "w + 14", "w + 46"], ["w", "p + 9", "p + 55"], ["p", "q + 3", "q + 58"], ["q", "b + 13", "b + 71"], ["b", 5, "76"]], "target_var_name": "v", "target_value": 76, "value_dict": {"b": 5}, "is_reverse": true}} | 14,027 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = d + 11; p = q + 3; b = 5; v = j + 16; k = m + 19; x = w + 14; d = k + 14; m = i + 17; q = b + 13; s = l + 13; w = p + 9; j = x + 16; i = b + 9. If b = 5, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 16 to v, which gives v = x + 32.\n2. Substitute x = w + 14 to v, which gives v = w + 46.\n3. Substitute w = p + 9 to v, which gives v = p + 55.\n4. Substitute p = q + 3 to v, which gives v = q + 58.\n5. Substitute q = b + 13 to v, which gives v = b + 71.\n6. Substitute b = 5 to v, which gives v = 76.\n\nThus, the final answer is v = \\boxed{76}.",
"index": 14027,
"question": "Consider a system of variables where each variable is defined as follows: l = d + 11; p = q + 3; b = 5; v = j + 16; k = m + 19; x = w + 14; d = k + 14; m = i + 17; q = b + 13; s = l + 13; w = p + 9; j = x + 16; i = b + 9. If b = 5, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 17", "w": "j + 18", "c": "w + 7", "f": "c + 11", "m": "f + 15", "k": "m + 6", "p": "l + 7", "e": "p + 1", "o": "e + 4", "x": "o + 9", "s": "x + 18", "h": "s + 8", "l": 9}, "premises": {"l": 9}, "target": "k"}, "answer": {"steps": [["m", "f + 15", "f + 21"], ["f", "c + 11", "c + 32"], ["c", "w + 7", "w + 39"], ["w", "j + 18", "j + 57"], ["j", "l + 17", "l + 74"], ["l", 9, "83"]], "target_var_name": "k", "target_value": 83, "value_dict": {"l": 9}, "is_reverse": true}} | 14,028 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = l + 7; e = p + 1; j = l + 17; w = j + 18; x = o + 9; h = s + 8; o = e + 4; m = f + 15; s = x + 18; c = w + 7; f = c + 11; k = m + 6; l = 9. If l = 9, what is the resulting value of k?",
"role": "user"
... | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 15 to k, which gives k = f + 21.\n2. Substitute f = c + 11 to k, which gives k = c + 32.\n3. Substitute c = w + 7 to k, which gives k = w + 39.\n4. Substitute w = j + 18 to k, which gives k = j + 57.\n5. Substitute j = l + 17 to k, which gives k = l + 74.\n6. Substitute l = 9 to k, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 14028,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = l + 7; e = p + 1; j = l + 17; w = j + 18; x = o + 9; h = s + 8; o = e + 4; m = f + 15; s = x + 18; c = w + 7; f = c + 11; k = m + 6; l = 9. If l = 9, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 6", "s": "i + 6", "e": "s + 18", "h": "e + 14", "c": "h + 9", "p": "c + 4", "a": "b + 10", "l": "a + 19", "f": "l + 11", "j": "f + 10", "u": "j + 1", "o": "u + 18", "b": 16}, "premises": {"b": 16}, "target": "p"}, "answer": {"steps": [["c", "h + 9", "h + 13"], ["h", "e + 14", "e + 27"], ["e", "s + 18", "s + 45"], ["s", "i + 6", "i + 51"], ["i", "b + 6", "b + 57"], ["b", 16, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"b": 16}, "is_reverse": true}} | 14,029 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = j + 1; a = b + 10; s = i + 6; c = h + 9; o = u + 18; e = s + 18; f = l + 11; l = a + 19; h = e + 14; p = c + 4; b = 16; i = b + 6; j = f + 10. Given that b = 16, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 9 to p, which gives p = h + 13.\n2. Substitute h = e + 14 to p, which gives p = e + 27.\n3. Substitute e = s + 18 to p, which gives p = s + 45.\n4. Substitute s = i + 6 to p, which gives p = i + 51.\n5. Substitute i = b + 6 to p, which gives p = b + 57.\n6. Substitute b = 16 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 14029,
"question": "Suppose a collection of variables is related by the following definitions: u = j + 1; a = b + 10; s = i + 6; c = h + 9; o = u + 18; e = s + 18; f = l + 11; l = a + 19; h = e + 14; p = c + 4; b = 16; i = b + 6; j = f + 10. Given that b = 16, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 18", "s": "d + 4", "r": "s + 4", "b": "r + 9", "g": "b + 4", "f": "g + 14", "n": "j + 14", "c": "n + 5", "t": "c + 19", "y": "t + 15", "i": "y + 18", "k": "i + 2", "j": 11}, "premises": {"j": 11}, "target": "f"}, "answer": {"steps": [["g", "b + 4", "b + 18"], ["b", "r + 9", "r + 27"], ["r", "s + 4", "s + 31"], ["s", "d + 4", "d + 35"], ["d", "j + 18", "j + 53"], ["j", 11, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"j": 11}, "is_reverse": true}} | 14,030 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = r + 9; y = t + 15; c = n + 5; k = i + 2; r = s + 4; t = c + 19; f = g + 14; s = d + 4; j = 11; d = j + 18; i = y + 18; g = b + 4; n = j + 14. If j = 11, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 4 to f, which gives f = b + 18.\n2. Substitute b = r + 9 to f, which gives f = r + 27.\n3. Substitute r = s + 4 to f, which gives f = s + 31.\n4. Substitute s = d + 4 to f, which gives f = d + 35.\n5. Substitute d = j + 18 to f, which gives f = j + 53.\n6. Substitute j = 11 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 14030,
"question": "Consider a system of variables where each variable is defined as follows: b = r + 9; y = t + 15; c = n + 5; k = i + 2; r = s + 4; t = c + 19; f = g + 14; s = d + 4; j = 11; d = j + 18; i = y + 18; g = b + 4; n = j + 14. If j = 11, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 3", "b": "q + 17", "l": "b + 9", "t": "l + 1", "y": "t + 7", "v": "y + 13", "f": "j + 17", "k": "f + 13", "m": "k + 1", "a": "m + 2", "n": "a + 17", "i": "n + 9", "j": 17}, "premises": {"j": 17}, "target": "v"}, "answer": {"steps": [["y", "t + 7", "t + 20"], ["t", "l + 1", "l + 21"], ["l", "b + 9", "b + 30"], ["b", "q + 17", "q + 47"], ["q", "j + 3", "j + 50"], ["j", 17, "67"]], "target_var_name": "v", "target_value": 67, "value_dict": {"j": 17}, "is_reverse": true}} | 14,031 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 9; k = f + 13; q = j + 3; y = t + 7; j = 17; a = m + 2; f = j + 17; n = a + 17; m = k + 1; b = q + 17; i = n + 9; v = y + 13; t = l + 1. If j = 17, what is the resulting value of v?",
"role": "user"... | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 7 to v, which gives v = t + 20.\n2. Substitute t = l + 1 to v, which gives v = l + 21.\n3. Substitute l = b + 9 to v, which gives v = b + 30.\n4. Substitute b = q + 17 to v, which gives v = q + 47.\n5. Substitute q = j + 3 to v, which gives v = j + 50.\n6. Substitute j = 17 to v, which gives v = 67.\n\nThus, the final answer is v = \\boxed{67}.",
"index": 14031,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 9; k = f + 13; q = j + 3; y = t + 7; j = 17; a = m + 2; f = j + 17; n = a + 17; m = k + 1; b = q + 17; i = n + 9; v = y + 13; t = l + 1. If j = 17, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 12", "h": "s + 2", "d": "h + 5", "t": "d + 17", "n": "t + 5", "a": "n + 19", "f": "u + 13", "m": "f + 9", "o": "m + 19", "e": "o + 19", "c": "e + 1", "b": "c + 16", "u": 2}, "premises": {"u": 2}, "target": "a"}, "answer": {"steps": [["n", "t + 5", "t + 24"], ["t", "d + 17", "d + 41"], ["d", "h + 5", "h + 46"], ["h", "s + 2", "s + 48"], ["s", "u + 12", "u + 60"], ["u", 2, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"u": 2}, "is_reverse": true}} | 14,032 | 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 = s + 2; c = e + 1; e = o + 19; a = n + 19; b = c + 16; d = h + 5; s = u + 12; m = f + 9; o = m + 19; f = u + 13; t = d + 17; u = 2; n = t + 5. If u = 2, what is the resulting value of a?",
"role": "user"... | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 5 to a, which gives a = t + 24.\n2. Substitute t = d + 17 to a, which gives a = d + 41.\n3. Substitute d = h + 5 to a, which gives a = h + 46.\n4. Substitute h = s + 2 to a, which gives a = s + 48.\n5. Substitute s = u + 12 to a, which gives a = u + 60.\n6. Substitute u = 2 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 14032,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 2; c = e + 1; e = o + 19; a = n + 19; b = c + 16; d = h + 5; s = u + 12; m = f + 9; o = m + 19; f = u + 13; t = d + 17; u = 2; n = t + 5. If u = 2, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 18", "y": "o + 1", "f": "y + 16", "t": "f + 16", "k": "t + 14", "p": "k + 13", "d": "v + 19", "n": "d + 4", "i": "n + 3", "w": "i + 6", "g": "w + 16", "m": "g + 12", "v": 4}, "premises": {"v": 4}, "target": "p"}, "answer": {"steps": [["k", "t + 14", "t + 27"], ["t", "f + 16", "f + 43"], ["f", "y + 16", "y + 59"], ["y", "o + 1", "o + 60"], ["o", "v + 18", "v + 78"], ["v", 4, "82"]], "target_var_name": "p", "target_value": 82, "value_dict": {"v": 4}, "is_reverse": true}} | 14,033 | 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 = w + 16; d = v + 19; y = o + 1; t = f + 16; m = g + 12; n = d + 4; v = 4; o = v + 18; f = y + 16; w = i + 6; i = n + 3; p = k + 13; k = t + 14. If v = 4, what is the resulting value of p?",
"role": "user... | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 14 to p, which gives p = t + 27.\n2. Substitute t = f + 16 to p, which gives p = f + 43.\n3. Substitute f = y + 16 to p, which gives p = y + 59.\n4. Substitute y = o + 1 to p, which gives p = o + 60.\n5. Substitute o = v + 18 to p, which gives p = v + 78.\n6. Substitute v = 4 to p, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 14033,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = w + 16; d = v + 19; y = o + 1; t = f + 16; m = g + 12; n = d + 4; v = 4; o = v + 18; f = y + 16; w = i + 6; i = n + 3; p = k + 13; k = t + 14. If v = 4, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 14", "p": "k + 4", "e": "p + 13", "m": "e + 13", "d": "m + 2", "h": "d + 20", "w": "q + 14", "b": "w + 2", "y": "b + 14", "x": "y + 19", "j": "x + 8", "c": "j + 16", "q": 16}, "premises": {"q": 16}, "target": "h"}, "answer": {"steps": [["d", "m + 2", "m + 22"], ["m", "e + 13", "e + 35"], ["e", "p + 13", "p + 48"], ["p", "k + 4", "k + 52"], ["k", "q + 14", "q + 66"], ["q", 16, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"q": 16}, "is_reverse": true}} | 14,034 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = k + 4; w = q + 14; y = b + 14; j = x + 8; b = w + 2; d = m + 2; h = d + 20; q = 16; e = p + 13; x = y + 19; c = j + 16; m = e + 13; k = q + 14. If q = 16, what is the resulting value of h?",
"role": "us... | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 2 to h, which gives h = m + 22.\n2. Substitute m = e + 13 to h, which gives h = e + 35.\n3. Substitute e = p + 13 to h, which gives h = p + 48.\n4. Substitute p = k + 4 to h, which gives h = k + 52.\n5. Substitute k = q + 14 to h, which gives h = q + 66.\n6. Substitute q = 16 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 14034,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = k + 4; w = q + 14; y = b + 14; j = x + 8; b = w + 2; d = m + 2; h = d + 20; q = 16; e = p + 13; x = y + 19; c = j + 16; m = e + 13; k = q + 14. If q = 16, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 17", "q": "s + 15", "n": "q + 7", "m": "n + 7", "a": "m + 6", "v": "a + 7", "u": "y + 18", "c": "u + 18", "z": "c + 12", "i": "z + 9", "b": "i + 16", "t": "b + 11", "y": 7}, "premises": {"y": 7}, "target": "v"}, "answer": {"steps": [["a", "m + 6", "m + 13"], ["m", "n + 7", "n + 20"], ["n", "q + 7", "q + 27"], ["q", "s + 15", "s + 42"], ["s", "y + 17", "y + 59"], ["y", 7, "66"]], "target_var_name": "v", "target_value": 66, "value_dict": {"y": 7}, "is_reverse": true}} | 14,035 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = n + 7; t = b + 11; b = i + 16; u = y + 18; z = c + 12; i = z + 9; n = q + 7; v = a + 7; s = y + 17; y = 7; c = u + 18; q = s + 15; a = m + 6. Given that y = 7, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 6 to v, which gives v = m + 13.\n2. Substitute m = n + 7 to v, which gives v = n + 20.\n3. Substitute n = q + 7 to v, which gives v = q + 27.\n4. Substitute q = s + 15 to v, which gives v = s + 42.\n5. Substitute s = y + 17 to v, which gives v = y + 59.\n6. Substitute y = 7 to v, which gives v = 66.\n\nThus, the final answer is v = \\boxed{66}.",
"index": 14035,
"question": "Suppose a collection of variables is related by the following definitions: m = n + 7; t = b + 11; b = i + 16; u = y + 18; z = c + 12; i = z + 9; n = q + 7; v = a + 7; s = y + 17; y = 7; c = u + 18; q = s + 15; a = m + 6. Given that y = 7, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 15", "u": "v + 14", "h": "u + 3", "n": "h + 7", "k": "n + 4", "a": "k + 11", "x": "g + 13", "y": "x + 1", "p": "y + 20", "q": "p + 14", "j": "q + 4", "i": "j + 5", "g": 7}, "premises": {"g": 7}, "target": "a"}, "answer": {"steps": [["k", "n + 4", "n + 15"], ["n", "h + 7", "h + 22"], ["h", "u + 3", "u + 25"], ["u", "v + 14", "v + 39"], ["v", "g + 15", "g + 54"], ["g", 7, "61"]], "target_var_name": "a", "target_value": 61, "value_dict": {"g": 7}, "is_reverse": true}} | 14,036 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = g + 15; y = x + 1; n = h + 7; h = u + 3; j = q + 4; p = y + 20; u = v + 14; x = g + 13; k = n + 4; a = k + 11; q = p + 14; g = 7; i = j + 5. If g = 7, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = n + 4 to a, which gives a = n + 15.\n2. Substitute n = h + 7 to a, which gives a = h + 22.\n3. Substitute h = u + 3 to a, which gives a = u + 25.\n4. Substitute u = v + 14 to a, which gives a = v + 39.\n5. Substitute v = g + 15 to a, which gives a = g + 54.\n6. Substitute g = 7 to a, which gives a = 61.\n\nThus, the final answer is a = \\boxed{61}.",
"index": 14036,
"question": "Consider a system of variables where each variable is defined as follows: v = g + 15; y = x + 1; n = h + 7; h = u + 3; j = q + 4; p = y + 20; u = v + 14; x = g + 13; k = n + 4; a = k + 11; q = p + 14; g = 7; i = j + 5. If g = 7, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 8", "s": "k + 8", "q": "s + 17", "o": "q + 5", "w": "o + 19", "y": "w + 18", "z": "v + 6", "r": "z + 15", "n": "r + 16", "t": "n + 5", "b": "t + 4", "e": "b + 5", "v": 17}, "premises": {"v": 17}, "target": "y"}, "answer": {"steps": [["w", "o + 19", "o + 37"], ["o", "q + 5", "q + 42"], ["q", "s + 17", "s + 59"], ["s", "k + 8", "k + 67"], ["k", "v + 8", "v + 75"], ["v", 17, "92"]], "target_var_name": "y", "target_value": 92, "value_dict": {"v": 17}, "is_reverse": true}} | 14,037 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = v + 8; w = o + 19; q = s + 17; e = b + 5; y = w + 18; n = r + 16; b = t + 4; z = v + 6; o = q + 5; t = n + 5; v = 17; r = z + 15; s = k + 8. If v = 17, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 19 to y, which gives y = o + 37.\n2. Substitute o = q + 5 to y, which gives y = q + 42.\n3. Substitute q = s + 17 to y, which gives y = s + 59.\n4. Substitute s = k + 8 to y, which gives y = k + 67.\n5. Substitute k = v + 8 to y, which gives y = v + 75.\n6. Substitute v = 17 to y, which gives y = 92.\n\nThus, the final answer is y = \\boxed{92}.",
"index": 14037,
"question": "Consider a system of variables where each variable is defined as follows: k = v + 8; w = o + 19; q = s + 17; e = b + 5; y = w + 18; n = r + 16; b = t + 4; z = v + 6; o = q + 5; t = n + 5; v = 17; r = z + 15; s = k + 8. If v = 17, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 5", "f": "c + 18", "l": "f + 19", "d": "l + 2", "o": "d + 8", "v": "o + 15", "h": "g + 11", "e": "h + 19", "u": "e + 6", "n": "u + 6", "q": "n + 12", "i": "q + 1", "g": 10}, "premises": {"g": 10}, "target": "v"}, "answer": {"steps": [["o", "d + 8", "d + 23"], ["d", "l + 2", "l + 25"], ["l", "f + 19", "f + 44"], ["f", "c + 18", "c + 62"], ["c", "g + 5", "g + 67"], ["g", 10, "77"]], "target_var_name": "v", "target_value": 77, "value_dict": {"g": 10}, "is_reverse": true}} | 14,038 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = u + 6; c = g + 5; g = 10; l = f + 19; i = q + 1; h = g + 11; e = h + 19; d = l + 2; q = n + 12; u = e + 6; v = o + 15; o = d + 8; f = c + 18. Given that g = 10, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 8 to v, which gives v = d + 23.\n2. Substitute d = l + 2 to v, which gives v = l + 25.\n3. Substitute l = f + 19 to v, which gives v = f + 44.\n4. Substitute f = c + 18 to v, which gives v = c + 62.\n5. Substitute c = g + 5 to v, which gives v = g + 67.\n6. Substitute g = 10 to v, which gives v = 77.\n\nThus, the final answer is v = \\boxed{77}.",
"index": 14038,
"question": "Suppose a collection of variables is related by the following definitions: n = u + 6; c = g + 5; g = 10; l = f + 19; i = q + 1; h = g + 11; e = h + 19; d = l + 2; q = n + 12; u = e + 6; v = o + 15; o = d + 8; f = c + 18. Given that g = 10, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"g": "b + 19", "j": "g + 2", "e": "j + 15", "a": "e + 16", "t": "a + 10", "p": "t + 4", "m": "b + 6", "i": "m + 6", "c": "i + 20", "q": "c + 5", "v": "q + 19", "h": "v + 5", "b": 8}, "premises": {"b": 8}, "target": "p"}, "answer": {"steps": [["t", "a + 10", "a + 14"], ["a", "e + 16", "e + 30"], ["e", "j + 15", "j + 45"], ["j", "g + 2", "g + 47"], ["g", "b + 19", "b + 66"], ["b", 8, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"b": 8}, "is_reverse": true}} | 14,039 | 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 = m + 6; v = q + 19; j = g + 2; b = 8; m = b + 6; e = j + 15; g = b + 19; a = e + 16; c = i + 20; h = v + 5; t = a + 10; q = c + 5; p = t + 4. If b = 8, what is the resulting value of p?",
"role": "user"
... | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 10 to p, which gives p = a + 14.\n2. Substitute a = e + 16 to p, which gives p = e + 30.\n3. Substitute e = j + 15 to p, which gives p = j + 45.\n4. Substitute j = g + 2 to p, which gives p = g + 47.\n5. Substitute g = b + 19 to p, which gives p = b + 66.\n6. Substitute b = 8 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 14039,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = m + 6; v = q + 19; j = g + 2; b = 8; m = b + 6; e = j + 15; g = b + 19; a = e + 16; c = i + 20; h = v + 5; t = a + 10; q = c + 5; p = t + 4. If b = 8, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"i": "l + 14", "b": "i + 11", "g": "b + 3", "w": "g + 4", "q": "w + 12", "z": "q + 2", "u": "l + 17", "v": "u + 1", "n": "v + 8", "d": "n + 13", "h": "d + 18", "r": "h + 18", "l": 18}, "premises": {"l": 18}, "target": "z"}, "answer": {"steps": [["q", "w + 12", "w + 14"], ["w", "g + 4", "g + 18"], ["g", "b + 3", "b + 21"], ["b", "i + 11", "i + 32"], ["i", "l + 14", "l + 46"], ["l", 18, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"l": 18}, "is_reverse": true}} | 14,040 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = d + 18; v = u + 1; b = i + 11; n = v + 8; r = h + 18; z = q + 2; u = l + 17; g = b + 3; w = g + 4; q = w + 12; i = l + 14; l = 18; d = n + 13. If l = 18, what is the resulting value of z?",
"role": "use... | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 12 to z, which gives z = w + 14.\n2. Substitute w = g + 4 to z, which gives z = g + 18.\n3. Substitute g = b + 3 to z, which gives z = b + 21.\n4. Substitute b = i + 11 to z, which gives z = i + 32.\n5. Substitute i = l + 14 to z, which gives z = l + 46.\n6. Substitute l = 18 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 14040,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = d + 18; v = u + 1; b = i + 11; n = v + 8; r = h + 18; z = q + 2; u = l + 17; g = b + 3; w = g + 4; q = w + 12; i = l + 14; l = 18; d = n + 13. If l = 18, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 7", "k": "j + 2", "e": "k + 15", "i": "e + 20", "v": "i + 5", "t": "v + 2", "w": "y + 14", "a": "w + 19", "g": "a + 11", "c": "g + 10", "q": "c + 9", "z": "q + 12", "y": 15}, "premises": {"y": 15}, "target": "t"}, "answer": {"steps": [["v", "i + 5", "i + 7"], ["i", "e + 20", "e + 27"], ["e", "k + 15", "k + 42"], ["k", "j + 2", "j + 44"], ["j", "y + 7", "y + 51"], ["y", 15, "66"]], "target_var_name": "t", "target_value": 66, "value_dict": {"y": 15}, "is_reverse": true}} | 14,041 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = k + 15; k = j + 2; z = q + 12; a = w + 19; t = v + 2; w = y + 14; y = 15; v = i + 5; i = e + 20; c = g + 10; j = y + 7; g = a + 11; q = c + 9. If y = 15, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 5 to t, which gives t = i + 7.\n2. Substitute i = e + 20 to t, which gives t = e + 27.\n3. Substitute e = k + 15 to t, which gives t = k + 42.\n4. Substitute k = j + 2 to t, which gives t = j + 44.\n5. Substitute j = y + 7 to t, which gives t = y + 51.\n6. Substitute y = 15 to t, which gives t = 66.\n\nThus, the final answer is t = \\boxed{66}.",
"index": 14041,
"question": "Consider a system of variables where each variable is defined as follows: e = k + 15; k = j + 2; z = q + 12; a = w + 19; t = v + 2; w = y + 14; y = 15; v = i + 5; i = e + 20; c = g + 10; j = y + 7; g = a + 11; q = c + 9. If y = 15, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"x": "d + 4", "z": "x + 9", "b": "z + 6", "m": "b + 16", "e": "m + 15", "q": "e + 19", "n": "d + 14", "g": "n + 17", "v": "g + 12", "s": "v + 8", "o": "s + 10", "h": "o + 18", "d": 20}, "premises": {"d": 20}, "target": "q"}, "answer": {"steps": [["e", "m + 15", "m + 34"], ["m", "b + 16", "b + 50"], ["b", "z + 6", "z + 56"], ["z", "x + 9", "x + 65"], ["x", "d + 4", "d + 69"], ["d", 20, "89"]], "target_var_name": "q", "target_value": 89, "value_dict": {"d": 20}, "is_reverse": true}} | 14,042 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = x + 9; d = 20; x = d + 4; h = o + 18; g = n + 17; s = v + 8; m = b + 16; n = d + 14; q = e + 19; e = m + 15; v = g + 12; o = s + 10; b = z + 6. If d = 20, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 15 to q, which gives q = m + 34.\n2. Substitute m = b + 16 to q, which gives q = b + 50.\n3. Substitute b = z + 6 to q, which gives q = z + 56.\n4. Substitute z = x + 9 to q, which gives q = x + 65.\n5. Substitute x = d + 4 to q, which gives q = d + 69.\n6. Substitute d = 20 to q, which gives q = 89.\n\nThus, the final answer is q = \\boxed{89}.",
"index": 14042,
"question": "Consider a system of variables where each variable is defined as follows: z = x + 9; d = 20; x = d + 4; h = o + 18; g = n + 17; s = v + 8; m = b + 16; n = d + 14; q = e + 19; e = m + 15; v = g + 12; o = s + 10; b = z + 6. If d = 20, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 20", "a": "r + 3", "i": "a + 5", "l": "i + 9", "u": "l + 8", "c": "u + 7", "z": "n + 17", "m": "z + 2", "o": "m + 14", "w": "o + 15", "y": "w + 16", "g": "y + 14", "n": 8}, "premises": {"n": 8}, "target": "c"}, "answer": {"steps": [["u", "l + 8", "l + 15"], ["l", "i + 9", "i + 24"], ["i", "a + 5", "a + 29"], ["a", "r + 3", "r + 32"], ["r", "n + 20", "n + 52"], ["n", 8, "60"]], "target_var_name": "c", "target_value": 60, "value_dict": {"n": 8}, "is_reverse": true}} | 14,043 | 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 = n + 17; g = y + 14; o = m + 14; a = r + 3; u = l + 8; n = 8; r = n + 20; w = o + 15; i = a + 5; c = u + 7; m = z + 2; y = w + 16; l = i + 9. If n = 8, 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 u = l + 8 to c, which gives c = l + 15.\n2. Substitute l = i + 9 to c, which gives c = i + 24.\n3. Substitute i = a + 5 to c, which gives c = a + 29.\n4. Substitute a = r + 3 to c, which gives c = r + 32.\n5. Substitute r = n + 20 to c, which gives c = n + 52.\n6. Substitute n = 8 to c, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 14043,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = n + 17; g = y + 14; o = m + 14; a = r + 3; u = l + 8; n = 8; r = n + 20; w = o + 15; i = a + 5; c = u + 7; m = z + 2; y = w + 16; l = i + 9. If n = 8, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 9", "x": "y + 15", "w": "x + 20", "i": "w + 7", "k": "i + 10", "v": "k + 3", "m": "l + 3", "h": "m + 9", "u": "h + 12", "g": "u + 10", "q": "g + 10", "b": "q + 15", "l": 4}, "premises": {"l": 4}, "target": "v"}, "answer": {"steps": [["k", "i + 10", "i + 13"], ["i", "w + 7", "w + 20"], ["w", "x + 20", "x + 40"], ["x", "y + 15", "y + 55"], ["y", "l + 9", "l + 64"], ["l", 4, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"l": 4}, "is_reverse": true}} | 14,044 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 15; i = w + 7; k = i + 10; g = u + 10; u = h + 12; w = x + 20; m = l + 3; l = 4; q = g + 10; h = m + 9; b = q + 15; y = l + 9; v = k + 3. Given that l = 4, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 10 to v, which gives v = i + 13.\n2. Substitute i = w + 7 to v, which gives v = w + 20.\n3. Substitute w = x + 20 to v, which gives v = x + 40.\n4. Substitute x = y + 15 to v, which gives v = y + 55.\n5. Substitute y = l + 9 to v, which gives v = l + 64.\n6. Substitute l = 4 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 14044,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 15; i = w + 7; k = i + 10; g = u + 10; u = h + 12; w = x + 20; m = l + 3; l = 4; q = g + 10; h = m + 9; b = q + 15; y = l + 9; v = k + 3. Given that l = 4, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 5", "t": "a + 4", "j": "t + 14", "x": "j + 17", "p": "x + 12", "b": "p + 8", "q": "z + 20", "s": "q + 5", "k": "s + 12", "h": "k + 14", "i": "h + 12", "w": "i + 6", "z": 1}, "premises": {"z": 1}, "target": "b"}, "answer": {"steps": [["p", "x + 12", "x + 20"], ["x", "j + 17", "j + 37"], ["j", "t + 14", "t + 51"], ["t", "a + 4", "a + 55"], ["a", "z + 5", "z + 60"], ["z", 1, "61"]], "target_var_name": "b", "target_value": 61, "value_dict": {"z": 1}, "is_reverse": true}} | 14,045 | 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 = s + 12; x = j + 17; a = z + 5; b = p + 8; p = x + 12; z = 1; t = a + 4; j = t + 14; q = z + 20; i = h + 12; h = k + 14; w = i + 6; s = q + 5. If z = 1, what is the resulting value of b?",
"role": "user"... | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 12 to b, which gives b = x + 20.\n2. Substitute x = j + 17 to b, which gives b = j + 37.\n3. Substitute j = t + 14 to b, which gives b = t + 51.\n4. Substitute t = a + 4 to b, which gives b = a + 55.\n5. Substitute a = z + 5 to b, which gives b = z + 60.\n6. Substitute z = 1 to b, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 14045,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = s + 12; x = j + 17; a = z + 5; b = p + 8; p = x + 12; z = 1; t = a + 4; j = t + 14; q = z + 20; i = h + 12; h = k + 14; w = i + 6; s = q + 5. If z = 1, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 1", "a": "b + 3", "k": "a + 12", "y": "k + 5", "u": "y + 9", "t": "u + 3", "p": "e + 2", "s": "p + 7", "d": "s + 14", "c": "d + 19", "v": "c + 18", "l": "v + 1", "e": 7}, "premises": {"e": 7}, "target": "t"}, "answer": {"steps": [["u", "y + 9", "y + 12"], ["y", "k + 5", "k + 17"], ["k", "a + 12", "a + 29"], ["a", "b + 3", "b + 32"], ["b", "e + 1", "e + 33"], ["e", 7, "40"]], "target_var_name": "t", "target_value": 40, "value_dict": {"e": 7}, "is_reverse": true}} | 14,046 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = k + 5; l = v + 1; u = y + 9; k = a + 12; v = c + 18; d = s + 14; a = b + 3; e = 7; t = u + 3; c = d + 19; b = e + 1; s = p + 7; p = e + 2. Given that e = 7, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 9 to t, which gives t = y + 12.\n2. Substitute y = k + 5 to t, which gives t = k + 17.\n3. Substitute k = a + 12 to t, which gives t = a + 29.\n4. Substitute a = b + 3 to t, which gives t = b + 32.\n5. Substitute b = e + 1 to t, which gives t = e + 33.\n6. Substitute e = 7 to t, which gives t = 40.\n\nThus, the final answer is t = \\boxed{40}.",
"index": 14046,
"question": "Suppose a collection of variables is related by the following definitions: y = k + 5; l = v + 1; u = y + 9; k = a + 12; v = c + 18; d = s + 14; a = b + 3; e = 7; t = u + 3; c = d + 19; b = e + 1; s = p + 7; p = e + 2. Given that e = 7, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 7", "t": "o + 19", "j": "t + 6", "k": "j + 4", "v": "k + 7", "a": "v + 17", "h": "y + 17", "b": "h + 19", "d": "b + 1", "f": "d + 11", "r": "f + 18", "c": "r + 1", "y": 15}, "premises": {"y": 15}, "target": "a"}, "answer": {"steps": [["v", "k + 7", "k + 24"], ["k", "j + 4", "j + 28"], ["j", "t + 6", "t + 34"], ["t", "o + 19", "o + 53"], ["o", "y + 7", "y + 60"], ["y", 15, "75"]], "target_var_name": "a", "target_value": 75, "value_dict": {"y": 15}, "is_reverse": true}} | 14,047 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = b + 1; v = k + 7; o = y + 7; r = f + 18; f = d + 11; t = o + 19; h = y + 17; j = t + 6; k = j + 4; b = h + 19; c = r + 1; a = v + 17; y = 15. If y = 15, what is the resulting value of a?",
"role": "user... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 7 to a, which gives a = k + 24.\n2. Substitute k = j + 4 to a, which gives a = j + 28.\n3. Substitute j = t + 6 to a, which gives a = t + 34.\n4. Substitute t = o + 19 to a, which gives a = o + 53.\n5. Substitute o = y + 7 to a, which gives a = y + 60.\n6. Substitute y = 15 to a, which gives a = 75.\n\nThus, the final answer is a = \\boxed{75}.",
"index": 14047,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = b + 1; v = k + 7; o = y + 7; r = f + 18; f = d + 11; t = o + 19; h = y + 17; j = t + 6; k = j + 4; b = h + 19; c = r + 1; a = v + 17; y = 15. If y = 15, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"b": "h + 7", "e": "b + 15", "u": "e + 19", "f": "u + 7", "q": "f + 1", "i": "q + 4", "d": "h + 8", "o": "d + 10", "l": "o + 18", "v": "l + 20", "s": "v + 6", "g": "s + 11", "h": 17}, "premises": {"h": 17}, "target": "i"}, "answer": {"steps": [["q", "f + 1", "f + 5"], ["f", "u + 7", "u + 12"], ["u", "e + 19", "e + 31"], ["e", "b + 15", "b + 46"], ["b", "h + 7", "h + 53"], ["h", 17, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"h": 17}, "is_reverse": true}} | 14,048 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = u + 7; o = d + 10; b = h + 7; e = b + 15; l = o + 18; h = 17; s = v + 6; g = s + 11; u = e + 19; i = q + 4; v = l + 20; q = f + 1; d = h + 8. Given that h = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 1 to i, which gives i = f + 5.\n2. Substitute f = u + 7 to i, which gives i = u + 12.\n3. Substitute u = e + 19 to i, which gives i = e + 31.\n4. Substitute e = b + 15 to i, which gives i = b + 46.\n5. Substitute b = h + 7 to i, which gives i = h + 53.\n6. Substitute h = 17 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 14048,
"question": "Suppose a collection of variables is related by the following definitions: f = u + 7; o = d + 10; b = h + 7; e = b + 15; l = o + 18; h = 17; s = v + 6; g = s + 11; u = e + 19; i = q + 4; v = l + 20; q = f + 1; d = h + 8. Given that h = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 2", "q": "a + 12", "m": "q + 8", "d": "m + 12", "g": "d + 17", "v": "g + 1", "e": "n + 12", "f": "e + 13", "p": "f + 6", "i": "p + 13", "t": "i + 17", "b": "t + 16", "n": 6}, "premises": {"n": 6}, "target": "v"}, "answer": {"steps": [["g", "d + 17", "d + 18"], ["d", "m + 12", "m + 30"], ["m", "q + 8", "q + 38"], ["q", "a + 12", "a + 50"], ["a", "n + 2", "n + 52"], ["n", 6, "58"]], "target_var_name": "v", "target_value": 58, "value_dict": {"n": 6}, "is_reverse": true}} | 14,049 | 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 + 12; i = p + 13; v = g + 1; b = t + 16; g = d + 17; n = 6; d = m + 12; a = n + 2; q = a + 12; p = f + 6; f = e + 13; t = i + 17; m = q + 8. If n = 6, what is the resulting value of v?",
"role": "user... | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 17 to v, which gives v = d + 18.\n2. Substitute d = m + 12 to v, which gives v = m + 30.\n3. Substitute m = q + 8 to v, which gives v = q + 38.\n4. Substitute q = a + 12 to v, which gives v = a + 50.\n5. Substitute a = n + 2 to v, which gives v = n + 52.\n6. Substitute n = 6 to v, which gives v = 58.\n\nThus, the final answer is v = \\boxed{58}.",
"index": 14049,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = n + 12; i = p + 13; v = g + 1; b = t + 16; g = d + 17; n = 6; d = m + 12; a = n + 2; q = a + 12; p = f + 6; f = e + 13; t = i + 17; m = q + 8. If n = 6, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 5", "x": "w + 2", "h": "x + 14", "b": "h + 14", "g": "b + 3", "u": "g + 17", "t": "l + 14", "n": "t + 20", "c": "n + 8", "j": "c + 11", "q": "j + 10", "r": "q + 16", "l": 4}, "premises": {"l": 4}, "target": "u"}, "answer": {"steps": [["g", "b + 3", "b + 20"], ["b", "h + 14", "h + 34"], ["h", "x + 14", "x + 48"], ["x", "w + 2", "w + 50"], ["w", "l + 5", "l + 55"], ["l", 4, "59"]], "target_var_name": "u", "target_value": 59, "value_dict": {"l": 4}, "is_reverse": true}} | 14,050 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = q + 16; t = l + 14; l = 4; w = l + 5; c = n + 8; n = t + 20; q = j + 10; g = b + 3; u = g + 17; h = x + 14; x = w + 2; b = h + 14; j = c + 11. Given that l = 4, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 3 to u, which gives u = b + 20.\n2. Substitute b = h + 14 to u, which gives u = h + 34.\n3. Substitute h = x + 14 to u, which gives u = x + 48.\n4. Substitute x = w + 2 to u, which gives u = w + 50.\n5. Substitute w = l + 5 to u, which gives u = l + 55.\n6. Substitute l = 4 to u, which gives u = 59.\n\nThus, the final answer is u = \\boxed{59}.",
"index": 14050,
"question": "Suppose a collection of variables is related by the following definitions: r = q + 16; t = l + 14; l = 4; w = l + 5; c = n + 8; n = t + 20; q = j + 10; g = b + 3; u = g + 17; h = x + 14; x = w + 2; b = h + 14; j = c + 11. Given that l = 4, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"b": "v + 9", "y": "b + 2", "h": "y + 14", "c": "h + 11", "l": "c + 2", "n": "l + 4", "s": "v + 10", "p": "s + 6", "i": "p + 20", "r": "i + 10", "k": "r + 5", "f": "k + 5", "v": 7}, "premises": {"v": 7}, "target": "n"}, "answer": {"steps": [["l", "c + 2", "c + 6"], ["c", "h + 11", "h + 17"], ["h", "y + 14", "y + 31"], ["y", "b + 2", "b + 33"], ["b", "v + 9", "v + 42"], ["v", 7, "49"]], "target_var_name": "n", "target_value": 49, "value_dict": {"v": 7}, "is_reverse": true}} | 14,051 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = l + 4; y = b + 2; v = 7; k = r + 5; c = h + 11; i = p + 20; b = v + 9; h = y + 14; p = s + 6; r = i + 10; l = c + 2; f = k + 5; s = v + 10. Given that v = 7, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 2 to n, which gives n = c + 6.\n2. Substitute c = h + 11 to n, which gives n = h + 17.\n3. Substitute h = y + 14 to n, which gives n = y + 31.\n4. Substitute y = b + 2 to n, which gives n = b + 33.\n5. Substitute b = v + 9 to n, which gives n = v + 42.\n6. Substitute v = 7 to n, which gives n = 49.\n\nThus, the final answer is n = \\boxed{49}.",
"index": 14051,
"question": "Suppose a collection of variables is related by the following definitions: n = l + 4; y = b + 2; v = 7; k = r + 5; c = h + 11; i = p + 20; b = v + 9; h = y + 14; p = s + 6; r = i + 10; l = c + 2; f = k + 5; s = v + 10. Given that v = 7, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"b": "z + 1", "d": "b + 13", "r": "d + 5", "m": "r + 4", "l": "m + 6", "n": "l + 4", "u": "z + 10", "c": "u + 17", "v": "c + 12", "i": "v + 2", "y": "i + 20", "q": "y + 7", "z": 15}, "premises": {"z": 15}, "target": "n"}, "answer": {"steps": [["l", "m + 6", "m + 10"], ["m", "r + 4", "r + 14"], ["r", "d + 5", "d + 19"], ["d", "b + 13", "b + 32"], ["b", "z + 1", "z + 33"], ["z", 15, "48"]], "target_var_name": "n", "target_value": 48, "value_dict": {"z": 15}, "is_reverse": true}} | 14,052 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = l + 4; z = 15; m = r + 4; v = c + 12; r = d + 5; c = u + 17; l = m + 6; b = z + 1; i = v + 2; y = i + 20; q = y + 7; u = z + 10; d = b + 13. Given that z = 15, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 6 to n, which gives n = m + 10.\n2. Substitute m = r + 4 to n, which gives n = r + 14.\n3. Substitute r = d + 5 to n, which gives n = d + 19.\n4. Substitute d = b + 13 to n, which gives n = b + 32.\n5. Substitute b = z + 1 to n, which gives n = z + 33.\n6. Substitute z = 15 to n, which gives n = 48.\n\nThus, the final answer is n = \\boxed{48}.",
"index": 14052,
"question": "Suppose a collection of variables is related by the following definitions: n = l + 4; z = 15; m = r + 4; v = c + 12; r = d + 5; c = u + 17; l = m + 6; b = z + 1; i = v + 2; y = i + 20; q = y + 7; u = z + 10; d = b + 13. Given that z = 15, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 9", "n": "j + 12", "r": "n + 10", "l": "r + 10", "m": "l + 6", "i": "m + 19", "g": "v + 15", "z": "g + 14", "a": "z + 4", "f": "a + 15", "p": "f + 19", "d": "p + 5", "v": 13}, "premises": {"v": 13}, "target": "i"}, "answer": {"steps": [["m", "l + 6", "l + 25"], ["l", "r + 10", "r + 35"], ["r", "n + 10", "n + 45"], ["n", "j + 12", "j + 57"], ["j", "v + 9", "v + 66"], ["v", 13, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"v": 13}, "is_reverse": true}} | 14,053 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = 13; d = p + 5; l = r + 10; f = a + 15; g = v + 15; n = j + 12; i = m + 19; j = v + 9; a = z + 4; r = n + 10; m = l + 6; z = g + 14; p = f + 19. Given that v = 13, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 6 to i, which gives i = l + 25.\n2. Substitute l = r + 10 to i, which gives i = r + 35.\n3. Substitute r = n + 10 to i, which gives i = n + 45.\n4. Substitute n = j + 12 to i, which gives i = j + 57.\n5. Substitute j = v + 9 to i, which gives i = v + 66.\n6. Substitute v = 13 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 14053,
"question": "Suppose a collection of variables is related by the following definitions: v = 13; d = p + 5; l = r + 10; f = a + 15; g = v + 15; n = j + 12; i = m + 19; j = v + 9; a = z + 4; r = n + 10; m = l + 6; z = g + 14; p = f + 19. Given that v = 13, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"x": "z + 1", "w": "x + 6", "l": "w + 14", "a": "l + 10", "u": "a + 13", "k": "u + 15", "s": "z + 3", "p": "s + 8", "t": "p + 5", "f": "t + 10", "q": "f + 15", "c": "q + 17", "z": 8}, "premises": {"z": 8}, "target": "k"}, "answer": {"steps": [["u", "a + 13", "a + 28"], ["a", "l + 10", "l + 38"], ["l", "w + 14", "w + 52"], ["w", "x + 6", "x + 58"], ["x", "z + 1", "z + 59"], ["z", 8, "67"]], "target_var_name": "k", "target_value": 67, "value_dict": {"z": 8}, "is_reverse": true}} | 14,054 | 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 = x + 6; l = w + 14; q = f + 15; t = p + 5; a = l + 10; c = q + 17; x = z + 1; f = t + 10; z = 8; u = a + 13; p = s + 8; s = z + 3; k = u + 15. If z = 8, what is the resulting value of k?",
"role": "user"... | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 13 to k, which gives k = a + 28.\n2. Substitute a = l + 10 to k, which gives k = l + 38.\n3. Substitute l = w + 14 to k, which gives k = w + 52.\n4. Substitute w = x + 6 to k, which gives k = x + 58.\n5. Substitute x = z + 1 to k, which gives k = z + 59.\n6. Substitute z = 8 to k, which gives k = 67.\n\nThus, the final answer is k = \\boxed{67}.",
"index": 14054,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = x + 6; l = w + 14; q = f + 15; t = p + 5; a = l + 10; c = q + 17; x = z + 1; f = t + 10; z = 8; u = a + 13; p = s + 8; s = z + 3; k = u + 15. If z = 8, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"r": "e + 13", "t": "r + 15", "p": "t + 3", "z": "p + 18", "y": "z + 2", "o": "y + 2", "i": "e + 2", "h": "i + 13", "l": "h + 19", "n": "l + 17", "v": "n + 15", "a": "v + 18", "e": 8}, "premises": {"e": 8}, "target": "o"}, "answer": {"steps": [["y", "z + 2", "z + 4"], ["z", "p + 18", "p + 22"], ["p", "t + 3", "t + 25"], ["t", "r + 15", "r + 40"], ["r", "e + 13", "e + 53"], ["e", 8, "61"]], "target_var_name": "o", "target_value": 61, "value_dict": {"e": 8}, "is_reverse": true}} | 14,055 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = e + 13; o = y + 2; a = v + 18; t = r + 15; i = e + 2; n = l + 17; h = i + 13; p = t + 3; l = h + 19; y = z + 2; v = n + 15; z = p + 18; e = 8. If e = 8, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 2 to o, which gives o = z + 4.\n2. Substitute z = p + 18 to o, which gives o = p + 22.\n3. Substitute p = t + 3 to o, which gives o = t + 25.\n4. Substitute t = r + 15 to o, which gives o = r + 40.\n5. Substitute r = e + 13 to o, which gives o = e + 53.\n6. Substitute e = 8 to o, which gives o = 61.\n\nThus, the final answer is o = \\boxed{61}.",
"index": 14055,
"question": "Consider a system of variables where each variable is defined as follows: r = e + 13; o = y + 2; a = v + 18; t = r + 15; i = e + 2; n = l + 17; h = i + 13; p = t + 3; l = h + 19; y = z + 2; v = n + 15; z = p + 18; e = 8. If e = 8, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 11", "k": "t + 8", "z": "k + 3", "b": "z + 1", "y": "b + 13", "d": "y + 19", "q": "p + 3", "u": "q + 2", "c": "u + 9", "g": "c + 8", "r": "g + 12", "n": "r + 19", "p": 4}, "premises": {"p": 4}, "target": "d"}, "answer": {"steps": [["y", "b + 13", "b + 32"], ["b", "z + 1", "z + 33"], ["z", "k + 3", "k + 36"], ["k", "t + 8", "t + 44"], ["t", "p + 11", "p + 55"], ["p", 4, "59"]], "target_var_name": "d", "target_value": 59, "value_dict": {"p": 4}, "is_reverse": true}} | 14,056 | 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 = u + 9; q = p + 3; k = t + 8; d = y + 19; r = g + 12; t = p + 11; g = c + 8; y = b + 13; u = q + 2; b = z + 1; n = r + 19; p = 4; z = k + 3. If p = 4, what is the resulting value of d?",
"role": "user"
... | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 13 to d, which gives d = b + 32.\n2. Substitute b = z + 1 to d, which gives d = z + 33.\n3. Substitute z = k + 3 to d, which gives d = k + 36.\n4. Substitute k = t + 8 to d, which gives d = t + 44.\n5. Substitute t = p + 11 to d, which gives d = p + 55.\n6. Substitute p = 4 to d, which gives d = 59.\n\nThus, the final answer is d = \\boxed{59}.",
"index": 14056,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = u + 9; q = p + 3; k = t + 8; d = y + 19; r = g + 12; t = p + 11; g = c + 8; y = b + 13; u = q + 2; b = z + 1; n = r + 19; p = 4; z = k + 3. If p = 4, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 7", "e": "n + 3", "y": "e + 18", "k": "y + 9", "c": "k + 14", "t": "c + 9", "s": "l + 3", "x": "s + 17", "g": "x + 16", "w": "g + 11", "q": "w + 6", "p": "q + 14", "l": 2}, "premises": {"l": 2}, "target": "t"}, "answer": {"steps": [["c", "k + 14", "k + 23"], ["k", "y + 9", "y + 32"], ["y", "e + 18", "e + 50"], ["e", "n + 3", "n + 53"], ["n", "l + 7", "l + 60"], ["l", 2, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"l": 2}, "is_reverse": true}} | 14,057 | 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 = s + 17; p = q + 14; n = l + 7; y = e + 18; k = y + 9; g = x + 16; t = c + 9; c = k + 14; l = 2; q = w + 6; s = l + 3; w = g + 11; e = n + 3. If l = 2, what is the resulting value of t?",
"role": "user"
... | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 14 to t, which gives t = k + 23.\n2. Substitute k = y + 9 to t, which gives t = y + 32.\n3. Substitute y = e + 18 to t, which gives t = e + 50.\n4. Substitute e = n + 3 to t, which gives t = n + 53.\n5. Substitute n = l + 7 to t, which gives t = l + 60.\n6. Substitute l = 2 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 14057,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = s + 17; p = q + 14; n = l + 7; y = e + 18; k = y + 9; g = x + 16; t = c + 9; c = k + 14; l = 2; q = w + 6; s = l + 3; w = g + 11; e = n + 3. If l = 2, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"i": "l + 3", "b": "i + 16", "v": "b + 10", "d": "v + 6", "w": "d + 9", "e": "w + 14", "q": "l + 7", "a": "q + 1", "y": "a + 1", "z": "y + 3", "c": "z + 3", "h": "c + 7", "l": 14}, "premises": {"l": 14}, "target": "e"}, "answer": {"steps": [["w", "d + 9", "d + 23"], ["d", "v + 6", "v + 29"], ["v", "b + 10", "b + 39"], ["b", "i + 16", "i + 55"], ["i", "l + 3", "l + 58"], ["l", 14, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"l": 14}, "is_reverse": true}} | 14,058 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = l + 7; z = y + 3; a = q + 1; v = b + 10; i = l + 3; d = v + 6; e = w + 14; c = z + 3; l = 14; y = a + 1; b = i + 16; w = d + 9; h = c + 7. If l = 14, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 9 to e, which gives e = d + 23.\n2. Substitute d = v + 6 to e, which gives e = v + 29.\n3. Substitute v = b + 10 to e, which gives e = b + 39.\n4. Substitute b = i + 16 to e, which gives e = i + 55.\n5. Substitute i = l + 3 to e, which gives e = l + 58.\n6. Substitute l = 14 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 14058,
"question": "Consider a system of variables where each variable is defined as follows: q = l + 7; z = y + 3; a = q + 1; v = b + 10; i = l + 3; d = v + 6; e = w + 14; c = z + 3; l = 14; y = a + 1; b = i + 16; w = d + 9; h = c + 7. If l = 14, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 14", "k": "q + 9", "c": "k + 7", "d": "c + 17", "r": "d + 16", "g": "r + 15", "h": "a + 14", "o": "h + 11", "s": "o + 11", "y": "s + 6", "i": "y + 7", "v": "i + 9", "a": 10}, "premises": {"a": 10}, "target": "g"}, "answer": {"steps": [["r", "d + 16", "d + 31"], ["d", "c + 17", "c + 48"], ["c", "k + 7", "k + 55"], ["k", "q + 9", "q + 64"], ["q", "a + 14", "a + 78"], ["a", 10, "88"]], "target_var_name": "g", "target_value": 88, "value_dict": {"a": 10}, "is_reverse": true}} | 14,059 | 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 = k + 7; s = o + 11; q = a + 14; r = d + 16; h = a + 14; i = y + 7; y = s + 6; o = h + 11; k = q + 9; d = c + 17; g = r + 15; v = i + 9; a = 10. If a = 10, what is the resulting value of g?",
"role": "use... | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 16 to g, which gives g = d + 31.\n2. Substitute d = c + 17 to g, which gives g = c + 48.\n3. Substitute c = k + 7 to g, which gives g = k + 55.\n4. Substitute k = q + 9 to g, which gives g = q + 64.\n5. Substitute q = a + 14 to g, which gives g = a + 78.\n6. Substitute a = 10 to g, which gives g = 88.\n\nThus, the final answer is g = \\boxed{88}.",
"index": 14059,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 7; s = o + 11; q = a + 14; r = d + 16; h = a + 14; i = y + 7; y = s + 6; o = h + 11; k = q + 9; d = c + 17; g = r + 15; v = i + 9; a = 10. If a = 10, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 9", "z": "q + 16", "f": "z + 10", "x": "f + 16", "o": "x + 20", "d": "o + 5", "e": "s + 4", "a": "e + 17", "m": "a + 10", "g": "m + 10", "l": "g + 3", "k": "l + 4", "s": 5}, "premises": {"s": 5}, "target": "d"}, "answer": {"steps": [["o", "x + 20", "x + 25"], ["x", "f + 16", "f + 41"], ["f", "z + 10", "z + 51"], ["z", "q + 16", "q + 67"], ["q", "s + 9", "s + 76"], ["s", 5, "81"]], "target_var_name": "d", "target_value": 81, "value_dict": {"s": 5}, "is_reverse": true}} | 14,060 | 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 = 5; z = q + 16; q = s + 9; k = l + 4; l = g + 3; a = e + 17; g = m + 10; f = z + 10; o = x + 20; d = o + 5; e = s + 4; m = a + 10; x = f + 16. If s = 5, what is the resulting value of d?",
"role": "user"... | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 20 to d, which gives d = x + 25.\n2. Substitute x = f + 16 to d, which gives d = f + 41.\n3. Substitute f = z + 10 to d, which gives d = z + 51.\n4. Substitute z = q + 16 to d, which gives d = q + 67.\n5. Substitute q = s + 9 to d, which gives d = s + 76.\n6. Substitute s = 5 to d, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 14060,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 5; z = q + 16; q = s + 9; k = l + 4; l = g + 3; a = e + 17; g = m + 10; f = z + 10; o = x + 20; d = o + 5; e = s + 4; m = a + 10; x = f + 16. If s = 5, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 3", "c": "k + 12", "b": "c + 20", "o": "b + 5", "f": "o + 6", "g": "f + 9", "j": "v + 4", "p": "j + 10", "a": "p + 2", "r": "a + 17", "x": "r + 7", "h": "x + 16", "v": 15}, "premises": {"v": 15}, "target": "g"}, "answer": {"steps": [["f", "o + 6", "o + 15"], ["o", "b + 5", "b + 20"], ["b", "c + 20", "c + 40"], ["c", "k + 12", "k + 52"], ["k", "v + 3", "v + 55"], ["v", 15, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"v": 15}, "is_reverse": true}} | 14,061 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = f + 9; v = 15; j = v + 4; o = b + 5; x = r + 7; h = x + 16; k = v + 3; p = j + 10; b = c + 20; r = a + 17; c = k + 12; a = p + 2; f = o + 6. If v = 15, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 6 to g, which gives g = o + 15.\n2. Substitute o = b + 5 to g, which gives g = b + 20.\n3. Substitute b = c + 20 to g, which gives g = c + 40.\n4. Substitute c = k + 12 to g, which gives g = k + 52.\n5. Substitute k = v + 3 to g, which gives g = v + 55.\n6. Substitute v = 15 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 14061,
"question": "Consider a system of variables where each variable is defined as follows: g = f + 9; v = 15; j = v + 4; o = b + 5; x = r + 7; h = x + 16; k = v + 3; p = j + 10; b = c + 20; r = a + 17; c = k + 12; a = p + 2; f = o + 6. If v = 15, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 8", "p": "s + 12", "a": "p + 20", "e": "a + 12", "o": "e + 6", "c": "o + 15", "d": "m + 5", "q": "d + 14", "r": "q + 6", "b": "r + 5", "n": "b + 9", "j": "n + 7", "m": 1}, "premises": {"m": 1}, "target": "c"}, "answer": {"steps": [["o", "e + 6", "e + 21"], ["e", "a + 12", "a + 33"], ["a", "p + 20", "p + 53"], ["p", "s + 12", "s + 65"], ["s", "m + 8", "m + 73"], ["m", 1, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"m": 1}, "is_reverse": true}} | 14,062 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = o + 15; r = q + 6; a = p + 20; e = a + 12; p = s + 12; n = b + 9; m = 1; j = n + 7; q = d + 14; b = r + 5; s = m + 8; o = e + 6; d = m + 5. If m = 1, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 6 to c, which gives c = e + 21.\n2. Substitute e = a + 12 to c, which gives c = a + 33.\n3. Substitute a = p + 20 to c, which gives c = p + 53.\n4. Substitute p = s + 12 to c, which gives c = s + 65.\n5. Substitute s = m + 8 to c, which gives c = m + 73.\n6. Substitute m = 1 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 14062,
"question": "Consider a system of variables where each variable is defined as follows: c = o + 15; r = q + 6; a = p + 20; e = a + 12; p = s + 12; n = b + 9; m = 1; j = n + 7; q = d + 14; b = r + 5; s = m + 8; o = e + 6; d = m + 5. If m = 1, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 14", "m": "f + 6", "l": "m + 4", "p": "l + 20", "g": "p + 11", "o": "g + 15", "i": "d + 3", "c": "i + 10", "j": "c + 11", "w": "j + 11", "z": "w + 20", "t": "z + 12", "d": 7}, "premises": {"d": 7}, "target": "o"}, "answer": {"steps": [["g", "p + 11", "p + 26"], ["p", "l + 20", "l + 46"], ["l", "m + 4", "m + 50"], ["m", "f + 6", "f + 56"], ["f", "d + 14", "d + 70"], ["d", 7, "77"]], "target_var_name": "o", "target_value": 77, "value_dict": {"d": 7}, "is_reverse": true}} | 14,063 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = w + 20; j = c + 11; i = d + 3; t = z + 12; c = i + 10; f = d + 14; l = m + 4; g = p + 11; d = 7; o = g + 15; m = f + 6; p = l + 20; w = j + 11. If d = 7, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 11 to o, which gives o = p + 26.\n2. Substitute p = l + 20 to o, which gives o = l + 46.\n3. Substitute l = m + 4 to o, which gives o = m + 50.\n4. Substitute m = f + 6 to o, which gives o = f + 56.\n5. Substitute f = d + 14 to o, which gives o = d + 70.\n6. Substitute d = 7 to o, which gives o = 77.\n\nThus, the final answer is o = \\boxed{77}.",
"index": 14063,
"question": "Consider a system of variables where each variable is defined as follows: z = w + 20; j = c + 11; i = d + 3; t = z + 12; c = i + 10; f = d + 14; l = m + 4; g = p + 11; d = 7; o = g + 15; m = f + 6; p = l + 20; w = j + 11. If d = 7, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"i": "u + 5", "h": "i + 20", "w": "h + 9", "n": "w + 20", "d": "n + 5", "v": "d + 17", "k": "u + 9", "a": "k + 13", "t": "a + 7", "j": "t + 11", "f": "j + 12", "r": "f + 12", "u": 16}, "premises": {"u": 16}, "target": "v"}, "answer": {"steps": [["d", "n + 5", "n + 22"], ["n", "w + 20", "w + 42"], ["w", "h + 9", "h + 51"], ["h", "i + 20", "i + 71"], ["i", "u + 5", "u + 76"], ["u", 16, "92"]], "target_var_name": "v", "target_value": 92, "value_dict": {"u": 16}, "is_reverse": true}} | 14,064 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = k + 13; f = j + 12; t = a + 7; h = i + 20; d = n + 5; n = w + 20; u = 16; w = h + 9; v = d + 17; j = t + 11; r = f + 12; i = u + 5; k = u + 9. Given that u = 16, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 5 to v, which gives v = n + 22.\n2. Substitute n = w + 20 to v, which gives v = w + 42.\n3. Substitute w = h + 9 to v, which gives v = h + 51.\n4. Substitute h = i + 20 to v, which gives v = i + 71.\n5. Substitute i = u + 5 to v, which gives v = u + 76.\n6. Substitute u = 16 to v, which gives v = 92.\n\nThus, the final answer is v = \\boxed{92}.",
"index": 14064,
"question": "Suppose a collection of variables is related by the following definitions: a = k + 13; f = j + 12; t = a + 7; h = i + 20; d = n + 5; n = w + 20; u = 16; w = h + 9; v = d + 17; j = t + 11; r = f + 12; i = u + 5; k = u + 9. Given that u = 16, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 6", "v": "f + 20", "k": "v + 2", "t": "k + 4", "a": "t + 8", "x": "a + 15", "j": "s + 13", "r": "j + 10", "i": "r + 14", "o": "i + 13", "e": "o + 15", "u": "e + 1", "s": 3}, "premises": {"s": 3}, "target": "x"}, "answer": {"steps": [["a", "t + 8", "t + 23"], ["t", "k + 4", "k + 27"], ["k", "v + 2", "v + 29"], ["v", "f + 20", "f + 49"], ["f", "s + 6", "s + 55"], ["s", 3, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"s": 3}, "is_reverse": true}} | 14,065 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = r + 14; o = i + 13; v = f + 20; r = j + 10; j = s + 13; u = e + 1; k = v + 2; x = a + 15; t = k + 4; s = 3; e = o + 15; a = t + 8; f = s + 6. If s = 3, determine the 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 a = t + 8 to x, which gives x = t + 23.\n2. Substitute t = k + 4 to x, which gives x = k + 27.\n3. Substitute k = v + 2 to x, which gives x = v + 29.\n4. Substitute v = f + 20 to x, which gives x = f + 49.\n5. Substitute f = s + 6 to x, which gives x = s + 55.\n6. Substitute s = 3 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 14065,
"question": "Consider a system of variables where each variable is defined as follows: i = r + 14; o = i + 13; v = f + 20; r = j + 10; j = s + 13; u = e + 1; k = v + 2; x = a + 15; t = k + 4; s = 3; e = o + 15; a = t + 8; f = s + 6. If s = 3, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 2", "o": "x + 13", "t": "o + 1", "q": "t + 4", "n": "q + 9", "e": "n + 2", "i": "y + 2", "r": "i + 13", "z": "r + 6", "b": "z + 14", "p": "b + 6", "l": "p + 19", "y": 10}, "premises": {"y": 10}, "target": "e"}, "answer": {"steps": [["n", "q + 9", "q + 11"], ["q", "t + 4", "t + 15"], ["t", "o + 1", "o + 16"], ["o", "x + 13", "x + 29"], ["x", "y + 2", "y + 31"], ["y", 10, "41"]], "target_var_name": "e", "target_value": 41, "value_dict": {"y": 10}, "is_reverse": true}} | 14,066 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = x + 13; x = y + 2; l = p + 19; n = q + 9; p = b + 6; i = y + 2; t = o + 1; b = z + 14; r = i + 13; e = n + 2; y = 10; z = r + 6; q = t + 4. If y = 10, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 9 to e, which gives e = q + 11.\n2. Substitute q = t + 4 to e, which gives e = t + 15.\n3. Substitute t = o + 1 to e, which gives e = o + 16.\n4. Substitute o = x + 13 to e, which gives e = x + 29.\n5. Substitute x = y + 2 to e, which gives e = y + 31.\n6. Substitute y = 10 to e, which gives e = 41.\n\nThus, the final answer is e = \\boxed{41}.",
"index": 14066,
"question": "Consider a system of variables where each variable is defined as follows: o = x + 13; x = y + 2; l = p + 19; n = q + 9; p = b + 6; i = y + 2; t = o + 1; b = z + 14; r = i + 13; e = n + 2; y = 10; z = r + 6; q = t + 4. If y = 10, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 10", "g": "c + 18", "q": "g + 8", "l": "q + 14", "n": "l + 11", "z": "n + 19", "k": "b + 5", "f": "k + 14", "t": "f + 13", "v": "t + 8", "h": "v + 4", "e": "h + 5", "b": 14}, "premises": {"b": 14}, "target": "z"}, "answer": {"steps": [["n", "l + 11", "l + 30"], ["l", "q + 14", "q + 44"], ["q", "g + 8", "g + 52"], ["g", "c + 18", "c + 70"], ["c", "b + 10", "b + 80"], ["b", 14, "94"]], "target_var_name": "z", "target_value": 94, "value_dict": {"b": 14}, "is_reverse": true}} | 14,067 | 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 = l + 11; b = 14; v = t + 8; k = b + 5; q = g + 8; e = h + 5; t = f + 13; c = b + 10; f = k + 14; g = c + 18; h = v + 4; z = n + 19; l = q + 14. If b = 14, what is the resulting value of z?",
"role": "use... | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 11 to z, which gives z = l + 30.\n2. Substitute l = q + 14 to z, which gives z = q + 44.\n3. Substitute q = g + 8 to z, which gives z = g + 52.\n4. Substitute g = c + 18 to z, which gives z = c + 70.\n5. Substitute c = b + 10 to z, which gives z = b + 80.\n6. Substitute b = 14 to z, which gives z = 94.\n\nThus, the final answer is z = \\boxed{94}.",
"index": 14067,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = l + 11; b = 14; v = t + 8; k = b + 5; q = g + 8; e = h + 5; t = f + 13; c = b + 10; f = k + 14; g = c + 18; h = v + 4; z = n + 19; l = q + 14. If b = 14, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 11", "p": "z + 19", "x": "p + 20", "j": "x + 3", "o": "j + 3", "y": "o + 17", "a": "v + 17", "b": "a + 13", "d": "b + 8", "k": "d + 17", "m": "k + 16", "h": "m + 18", "v": 14}, "premises": {"v": 14}, "target": "y"}, "answer": {"steps": [["o", "j + 3", "j + 20"], ["j", "x + 3", "x + 23"], ["x", "p + 20", "p + 43"], ["p", "z + 19", "z + 62"], ["z", "v + 11", "v + 73"], ["v", 14, "87"]], "target_var_name": "y", "target_value": 87, "value_dict": {"v": 14}, "is_reverse": true}} | 14,068 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = m + 18; k = d + 17; p = z + 19; j = x + 3; v = 14; b = a + 13; d = b + 8; x = p + 20; a = v + 17; y = o + 17; o = j + 3; m = k + 16; z = v + 11. Given that v = 14, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 3 to y, which gives y = j + 20.\n2. Substitute j = x + 3 to y, which gives y = x + 23.\n3. Substitute x = p + 20 to y, which gives y = p + 43.\n4. Substitute p = z + 19 to y, which gives y = z + 62.\n5. Substitute z = v + 11 to y, which gives y = v + 73.\n6. Substitute v = 14 to y, which gives y = 87.\n\nThus, the final answer is y = \\boxed{87}.",
"index": 14068,
"question": "Suppose a collection of variables is related by the following definitions: h = m + 18; k = d + 17; p = z + 19; j = x + 3; v = 14; b = a + 13; d = b + 8; x = p + 20; a = v + 17; y = o + 17; o = j + 3; m = k + 16; z = v + 11. Given that v = 14, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"v": "d + 9", "q": "v + 12", "y": "q + 19", "o": "y + 7", "w": "o + 18", "m": "w + 5", "x": "d + 12", "a": "x + 16", "i": "a + 14", "f": "i + 19", "t": "f + 14", "g": "t + 15", "d": 14}, "premises": {"d": 14}, "target": "m"}, "answer": {"steps": [["w", "o + 18", "o + 23"], ["o", "y + 7", "y + 30"], ["y", "q + 19", "q + 49"], ["q", "v + 12", "v + 61"], ["v", "d + 9", "d + 70"], ["d", 14, "84"]], "target_var_name": "m", "target_value": 84, "value_dict": {"d": 14}, "is_reverse": true}} | 14,069 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = w + 5; y = q + 19; t = f + 14; w = o + 18; q = v + 12; v = d + 9; f = i + 19; g = t + 15; d = 14; x = d + 12; i = a + 14; a = x + 16; o = y + 7. Given that d = 14, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 18 to m, which gives m = o + 23.\n2. Substitute o = y + 7 to m, which gives m = y + 30.\n3. Substitute y = q + 19 to m, which gives m = q + 49.\n4. Substitute q = v + 12 to m, which gives m = v + 61.\n5. Substitute v = d + 9 to m, which gives m = d + 70.\n6. Substitute d = 14 to m, which gives m = 84.\n\nThus, the final answer is m = \\boxed{84}.",
"index": 14069,
"question": "Suppose a collection of variables is related by the following definitions: m = w + 5; y = q + 19; t = f + 14; w = o + 18; q = v + 12; v = d + 9; f = i + 19; g = t + 15; d = 14; x = d + 12; i = a + 14; a = x + 16; o = y + 7. Given that d = 14, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 12", "a": "z + 20", "x": "a + 14", "b": "x + 7", "f": "b + 5", "w": "f + 18", "v": "e + 1", "l": "v + 9", "m": "l + 1", "y": "m + 6", "u": "y + 5", "p": "u + 16", "e": 6}, "premises": {"e": 6}, "target": "w"}, "answer": {"steps": [["f", "b + 5", "b + 23"], ["b", "x + 7", "x + 30"], ["x", "a + 14", "a + 44"], ["a", "z + 20", "z + 64"], ["z", "e + 12", "e + 76"], ["e", 6, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"e": 6}, "is_reverse": true}} | 14,070 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = x + 7; e = 6; w = f + 18; u = y + 5; a = z + 20; f = b + 5; y = m + 6; l = v + 9; x = a + 14; v = e + 1; z = e + 12; p = u + 16; m = l + 1. Given that e = 6, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 5 to w, which gives w = b + 23.\n2. Substitute b = x + 7 to w, which gives w = x + 30.\n3. Substitute x = a + 14 to w, which gives w = a + 44.\n4. Substitute a = z + 20 to w, which gives w = z + 64.\n5. Substitute z = e + 12 to w, which gives w = e + 76.\n6. Substitute e = 6 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 14070,
"question": "Suppose a collection of variables is related by the following definitions: b = x + 7; e = 6; w = f + 18; u = y + 5; a = z + 20; f = b + 5; y = m + 6; l = v + 9; x = a + 14; v = e + 1; z = e + 12; p = u + 16; m = l + 1. Given that e = 6, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 14", "k": "b + 5", "w": "k + 4", "i": "w + 1", "a": "i + 14", "d": "a + 6", "c": "o + 19", "l": "c + 2", "y": "l + 2", "x": "y + 19", "q": "x + 11", "g": "q + 16", "o": 16}, "premises": {"o": 16}, "target": "d"}, "answer": {"steps": [["a", "i + 14", "i + 20"], ["i", "w + 1", "w + 21"], ["w", "k + 4", "k + 25"], ["k", "b + 5", "b + 30"], ["b", "o + 14", "o + 44"], ["o", 16, "60"]], "target_var_name": "d", "target_value": 60, "value_dict": {"o": 16}, "is_reverse": true}} | 14,071 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = o + 14; y = l + 2; w = k + 4; x = y + 19; l = c + 2; i = w + 1; c = o + 19; o = 16; q = x + 11; a = i + 14; k = b + 5; d = a + 6; g = q + 16. Given that o = 16, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 14 to d, which gives d = i + 20.\n2. Substitute i = w + 1 to d, which gives d = w + 21.\n3. Substitute w = k + 4 to d, which gives d = k + 25.\n4. Substitute k = b + 5 to d, which gives d = b + 30.\n5. Substitute b = o + 14 to d, which gives d = o + 44.\n6. Substitute o = 16 to d, which gives d = 60.\n\nThus, the final answer is d = \\boxed{60}.",
"index": 14071,
"question": "Suppose a collection of variables is related by the following definitions: b = o + 14; y = l + 2; w = k + 4; x = y + 19; l = c + 2; i = w + 1; c = o + 19; o = 16; q = x + 11; a = i + 14; k = b + 5; d = a + 6; g = q + 16. Given that o = 16, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 20", "a": "z + 15", "b": "a + 13", "s": "b + 13", "m": "s + 13", "g": "m + 4", "l": "k + 19", "w": "l + 12", "f": "w + 6", "h": "f + 2", "x": "h + 4", "u": "x + 14", "k": 5}, "premises": {"k": 5}, "target": "g"}, "answer": {"steps": [["m", "s + 13", "s + 17"], ["s", "b + 13", "b + 30"], ["b", "a + 13", "a + 43"], ["a", "z + 15", "z + 58"], ["z", "k + 20", "k + 78"], ["k", 5, "83"]], "target_var_name": "g", "target_value": 83, "value_dict": {"k": 5}, "is_reverse": true}} | 14,072 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = s + 13; z = k + 20; u = x + 14; l = k + 19; b = a + 13; a = z + 15; s = b + 13; h = f + 2; f = w + 6; k = 5; x = h + 4; w = l + 12; g = m + 4. If k = 5, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 13 to g, which gives g = s + 17.\n2. Substitute s = b + 13 to g, which gives g = b + 30.\n3. Substitute b = a + 13 to g, which gives g = a + 43.\n4. Substitute a = z + 15 to g, which gives g = z + 58.\n5. Substitute z = k + 20 to g, which gives g = k + 78.\n6. Substitute k = 5 to g, which gives g = 83.\n\nThus, the final answer is g = \\boxed{83}.",
"index": 14072,
"question": "Consider a system of variables where each variable is defined as follows: m = s + 13; z = k + 20; u = x + 14; l = k + 19; b = a + 13; a = z + 15; s = b + 13; h = f + 2; f = w + 6; k = 5; x = h + 4; w = l + 12; g = m + 4. If k = 5, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 3", "p": "q + 13", "v": "p + 13", "r": "v + 10", "y": "r + 16", "b": "y + 6", "k": "n + 3", "s": "k + 1", "f": "s + 3", "w": "f + 1", "m": "w + 13", "z": "m + 5", "n": 4}, "premises": {"n": 4}, "target": "b"}, "answer": {"steps": [["y", "r + 16", "r + 22"], ["r", "v + 10", "v + 32"], ["v", "p + 13", "p + 45"], ["p", "q + 13", "q + 58"], ["q", "n + 3", "n + 61"], ["n", 4, "65"]], "target_var_name": "b", "target_value": 65, "value_dict": {"n": 4}, "is_reverse": true}} | 14,073 | 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 = s + 3; w = f + 1; b = y + 6; z = m + 5; n = 4; p = q + 13; q = n + 3; y = r + 16; k = n + 3; m = w + 13; r = v + 10; s = k + 1; v = p + 13. If n = 4, what is the resulting value of b?",
"role": "user"
... | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 16 to b, which gives b = r + 22.\n2. Substitute r = v + 10 to b, which gives b = v + 32.\n3. Substitute v = p + 13 to b, which gives b = p + 45.\n4. Substitute p = q + 13 to b, which gives b = q + 58.\n5. Substitute q = n + 3 to b, which gives b = n + 61.\n6. Substitute n = 4 to b, which gives b = 65.\n\nThus, the final answer is b = \\boxed{65}.",
"index": 14073,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = s + 3; w = f + 1; b = y + 6; z = m + 5; n = 4; p = q + 13; q = n + 3; y = r + 16; k = n + 3; m = w + 13; r = v + 10; s = k + 1; v = p + 13. If n = 4, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"a": "c + 8", "r": "a + 14", "y": "r + 3", "b": "y + 18", "v": "b + 13", "w": "v + 18", "x": "c + 15", "m": "x + 18", "l": "m + 9", "p": "l + 18", "k": "p + 19", "e": "k + 2", "c": 2}, "premises": {"c": 2}, "target": "w"}, "answer": {"steps": [["v", "b + 13", "b + 31"], ["b", "y + 18", "y + 49"], ["y", "r + 3", "r + 52"], ["r", "a + 14", "a + 66"], ["a", "c + 8", "c + 74"], ["c", 2, "76"]], "target_var_name": "w", "target_value": 76, "value_dict": {"c": 2}, "is_reverse": true}} | 14,074 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = a + 14; e = k + 2; b = y + 18; p = l + 18; y = r + 3; l = m + 9; x = c + 15; k = p + 19; c = 2; v = b + 13; m = x + 18; w = v + 18; a = c + 8. If c = 2, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 13 to w, which gives w = b + 31.\n2. Substitute b = y + 18 to w, which gives w = y + 49.\n3. Substitute y = r + 3 to w, which gives w = r + 52.\n4. Substitute r = a + 14 to w, which gives w = a + 66.\n5. Substitute a = c + 8 to w, which gives w = c + 74.\n6. Substitute c = 2 to w, which gives w = 76.\n\nThus, the final answer is w = \\boxed{76}.",
"index": 14074,
"question": "Consider a system of variables where each variable is defined as follows: r = a + 14; e = k + 2; b = y + 18; p = l + 18; y = r + 3; l = m + 9; x = c + 15; k = p + 19; c = 2; v = b + 13; m = x + 18; w = v + 18; a = c + 8. If c = 2, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 7", "g": "z + 12", "p": "g + 13", "r": "p + 14", "u": "r + 12", "v": "u + 13", "m": "d + 8", "b": "m + 8", "f": "b + 17", "c": "f + 2", "n": "c + 2", "t": "n + 16", "d": 9}, "premises": {"d": 9}, "target": "v"}, "answer": {"steps": [["u", "r + 12", "r + 25"], ["r", "p + 14", "p + 39"], ["p", "g + 13", "g + 52"], ["g", "z + 12", "z + 64"], ["z", "d + 7", "d + 71"], ["d", 9, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"d": 9}, "is_reverse": true}} | 14,075 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = z + 12; c = f + 2; z = d + 7; n = c + 2; t = n + 16; p = g + 13; b = m + 8; m = d + 8; r = p + 14; d = 9; u = r + 12; f = b + 17; v = u + 13. If d = 9, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 12 to v, which gives v = r + 25.\n2. Substitute r = p + 14 to v, which gives v = p + 39.\n3. Substitute p = g + 13 to v, which gives v = g + 52.\n4. Substitute g = z + 12 to v, which gives v = z + 64.\n5. Substitute z = d + 7 to v, which gives v = d + 71.\n6. Substitute d = 9 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 14075,
"question": "Consider a system of variables where each variable is defined as follows: g = z + 12; c = f + 2; z = d + 7; n = c + 2; t = n + 16; p = g + 13; b = m + 8; m = d + 8; r = p + 14; d = 9; u = r + 12; f = b + 17; v = u + 13. If d = 9, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 17", "q": "l + 17", "i": "q + 16", "t": "i + 10", "u": "t + 9", "r": "u + 15", "b": "n + 13", "k": "b + 1", "z": "k + 15", "f": "z + 18", "g": "f + 20", "a": "g + 16", "n": 10}, "premises": {"n": 10}, "target": "r"}, "answer": {"steps": [["u", "t + 9", "t + 24"], ["t", "i + 10", "i + 34"], ["i", "q + 16", "q + 50"], ["q", "l + 17", "l + 67"], ["l", "n + 17", "n + 84"], ["n", 10, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"n": 10}, "is_reverse": true}} | 14,076 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = t + 9; r = u + 15; l = n + 17; g = f + 20; z = k + 15; t = i + 10; k = b + 1; b = n + 13; q = l + 17; i = q + 16; f = z + 18; a = g + 16; n = 10. If n = 10, what is the resulting value of r?",
"role": "... | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 9 to r, which gives r = t + 24.\n2. Substitute t = i + 10 to r, which gives r = i + 34.\n3. Substitute i = q + 16 to r, which gives r = q + 50.\n4. Substitute q = l + 17 to r, which gives r = l + 67.\n5. Substitute l = n + 17 to r, which gives r = n + 84.\n6. Substitute n = 10 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 14076,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = t + 9; r = u + 15; l = n + 17; g = f + 20; z = k + 15; t = i + 10; k = b + 1; b = n + 13; q = l + 17; i = q + 16; f = z + 18; a = g + 16; n = 10. If n = 10, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"n": "z + 15", "q": "n + 7", "p": "q + 2", "u": "p + 12", "b": "u + 4", "k": "b + 6", "y": "z + 3", "f": "y + 19", "e": "f + 17", "x": "e + 3", "h": "x + 2", "m": "h + 15", "z": 9}, "premises": {"z": 9}, "target": "k"}, "answer": {"steps": [["b", "u + 4", "u + 10"], ["u", "p + 12", "p + 22"], ["p", "q + 2", "q + 24"], ["q", "n + 7", "n + 31"], ["n", "z + 15", "z + 46"], ["z", 9, "55"]], "target_var_name": "k", "target_value": 55, "value_dict": {"z": 9}, "is_reverse": true}} | 14,077 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = p + 12; e = f + 17; b = u + 4; z = 9; p = q + 2; f = y + 19; x = e + 3; y = z + 3; n = z + 15; h = x + 2; k = b + 6; q = n + 7; m = h + 15. If z = 9, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 4 to k, which gives k = u + 10.\n2. Substitute u = p + 12 to k, which gives k = p + 22.\n3. Substitute p = q + 2 to k, which gives k = q + 24.\n4. Substitute q = n + 7 to k, which gives k = n + 31.\n5. Substitute n = z + 15 to k, which gives k = z + 46.\n6. Substitute z = 9 to k, which gives k = 55.\n\nThus, the final answer is k = \\boxed{55}.",
"index": 14077,
"question": "Consider a system of variables where each variable is defined as follows: u = p + 12; e = f + 17; b = u + 4; z = 9; p = q + 2; f = y + 19; x = e + 3; y = z + 3; n = z + 15; h = x + 2; k = b + 6; q = n + 7; m = h + 15. If z = 9, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 13", "p": "l + 19", "s": "p + 13", "q": "s + 3", "m": "q + 4", "x": "m + 8", "b": "k + 17", "z": "b + 11", "h": "z + 16", "j": "h + 6", "r": "j + 5", "u": "r + 14", "k": 5}, "premises": {"k": 5}, "target": "x"}, "answer": {"steps": [["m", "q + 4", "q + 12"], ["q", "s + 3", "s + 15"], ["s", "p + 13", "p + 28"], ["p", "l + 19", "l + 47"], ["l", "k + 13", "k + 60"], ["k", 5, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"k": 5}, "is_reverse": true}} | 14,078 | 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 = r + 14; p = l + 19; h = z + 16; s = p + 13; r = j + 5; b = k + 17; x = m + 8; l = k + 13; z = b + 11; k = 5; m = q + 4; j = h + 6; q = s + 3. If k = 5, what is the resulting 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 m = q + 4 to x, which gives x = q + 12.\n2. Substitute q = s + 3 to x, which gives x = s + 15.\n3. Substitute s = p + 13 to x, which gives x = p + 28.\n4. Substitute p = l + 19 to x, which gives x = l + 47.\n5. Substitute l = k + 13 to x, which gives x = k + 60.\n6. Substitute k = 5 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 14078,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 14; p = l + 19; h = z + 16; s = p + 13; r = j + 5; b = k + 17; x = m + 8; l = k + 13; z = b + 11; k = 5; m = q + 4; j = h + 6; q = s + 3. If k = 5, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 1", "t": "x + 2", "m": "t + 14", "q": "m + 7", "v": "q + 20", "d": "v + 17", "g": "a + 17", "o": "g + 13", "s": "o + 1", "c": "s + 17", "u": "c + 13", "i": "u + 10", "a": 3}, "premises": {"a": 3}, "target": "d"}, "answer": {"steps": [["v", "q + 20", "q + 37"], ["q", "m + 7", "m + 44"], ["m", "t + 14", "t + 58"], ["t", "x + 2", "x + 60"], ["x", "a + 1", "a + 61"], ["a", 3, "64"]], "target_var_name": "d", "target_value": 64, "value_dict": {"a": 3}, "is_reverse": true}} | 14,079 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = c + 13; x = a + 1; g = a + 17; m = t + 14; a = 3; d = v + 17; c = s + 17; q = m + 7; s = o + 1; o = g + 13; t = x + 2; i = u + 10; v = q + 20. If a = 3, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 20 to d, which gives d = q + 37.\n2. Substitute q = m + 7 to d, which gives d = m + 44.\n3. Substitute m = t + 14 to d, which gives d = t + 58.\n4. Substitute t = x + 2 to d, which gives d = x + 60.\n5. Substitute x = a + 1 to d, which gives d = a + 61.\n6. Substitute a = 3 to d, which gives d = 64.\n\nThus, the final answer is d = \\boxed{64}.",
"index": 14079,
"question": "Consider a system of variables where each variable is defined as follows: u = c + 13; x = a + 1; g = a + 17; m = t + 14; a = 3; d = v + 17; c = s + 17; q = m + 7; s = o + 1; o = g + 13; t = x + 2; i = u + 10; v = q + 20. If a = 3, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 12", "x": "b + 1", "i": "x + 17", "a": "i + 10", "r": "a + 19", "z": "r + 11", "c": "s + 15", "v": "c + 7", "p": "v + 11", "n": "p + 10", "t": "n + 19", "q": "t + 17", "s": 14}, "premises": {"s": 14}, "target": "z"}, "answer": {"steps": [["r", "a + 19", "a + 30"], ["a", "i + 10", "i + 40"], ["i", "x + 17", "x + 57"], ["x", "b + 1", "b + 58"], ["b", "s + 12", "s + 70"], ["s", 14, "84"]], "target_var_name": "z", "target_value": 84, "value_dict": {"s": 14}, "is_reverse": true}} | 14,080 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = s + 15; t = n + 19; x = b + 1; a = i + 10; s = 14; z = r + 11; p = v + 11; i = x + 17; q = t + 17; r = a + 19; b = s + 12; v = c + 7; n = p + 10. Given that s = 14, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 19 to z, which gives z = a + 30.\n2. Substitute a = i + 10 to z, which gives z = i + 40.\n3. Substitute i = x + 17 to z, which gives z = x + 57.\n4. Substitute x = b + 1 to z, which gives z = b + 58.\n5. Substitute b = s + 12 to z, which gives z = s + 70.\n6. Substitute s = 14 to z, which gives z = 84.\n\nThus, the final answer is z = \\boxed{84}.",
"index": 14080,
"question": "Suppose a collection of variables is related by the following definitions: c = s + 15; t = n + 19; x = b + 1; a = i + 10; s = 14; z = r + 11; p = v + 11; i = x + 17; q = t + 17; r = a + 19; b = s + 12; v = c + 7; n = p + 10. Given that s = 14, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 15", "u": "j + 17", "m": "u + 19", "d": "m + 15", "k": "d + 17", "c": "k + 19", "r": "t + 19", "y": "r + 7", "i": "y + 10", "q": "i + 17", "v": "q + 12", "f": "v + 16", "t": 11}, "premises": {"t": 11}, "target": "c"}, "answer": {"steps": [["k", "d + 17", "d + 36"], ["d", "m + 15", "m + 51"], ["m", "u + 19", "u + 70"], ["u", "j + 17", "j + 87"], ["j", "t + 15", "t + 102"], ["t", 11, "113"]], "target_var_name": "c", "target_value": 113, "value_dict": {"t": 11}, "is_reverse": true}} | 14,081 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = t + 19; y = r + 7; v = q + 12; q = i + 17; f = v + 16; j = t + 15; m = u + 19; u = j + 17; k = d + 17; c = k + 19; i = y + 10; d = m + 15; t = 11. If t = 11, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 113,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 17 to c, which gives c = d + 36.\n2. Substitute d = m + 15 to c, which gives c = m + 51.\n3. Substitute m = u + 19 to c, which gives c = u + 70.\n4. Substitute u = j + 17 to c, which gives c = j + 87.\n5. Substitute j = t + 15 to c, which gives c = t + 102.\n6. Substitute t = 11 to c, which gives c = 113.\n\nThus, the final answer is c = \\boxed{113}.",
"index": 14081,
"question": "Consider a system of variables where each variable is defined as follows: r = t + 19; y = r + 7; v = q + 12; q = i + 17; f = v + 16; j = t + 15; m = u + 19; u = j + 17; k = d + 17; c = k + 19; i = y + 10; d = m + 15; t = 11. If t = 11, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"k": "l + 3", "q": "k + 8", "c": "q + 10", "r": "c + 1", "e": "r + 14", "f": "e + 11", "h": "l + 20", "w": "h + 9", "m": "w + 2", "b": "m + 13", "s": "b + 3", "z": "s + 19", "l": 19}, "premises": {"l": 19}, "target": "f"}, "answer": {"steps": [["e", "r + 14", "r + 25"], ["r", "c + 1", "c + 26"], ["c", "q + 10", "q + 36"], ["q", "k + 8", "k + 44"], ["k", "l + 3", "l + 47"], ["l", 19, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"l": 19}, "is_reverse": true}} | 14,082 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = s + 19; w = h + 9; k = l + 3; b = m + 13; q = k + 8; l = 19; s = b + 3; r = c + 1; e = r + 14; f = e + 11; m = w + 2; h = l + 20; c = q + 10. Given that l = 19, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 14 to f, which gives f = r + 25.\n2. Substitute r = c + 1 to f, which gives f = c + 26.\n3. Substitute c = q + 10 to f, which gives f = q + 36.\n4. Substitute q = k + 8 to f, which gives f = k + 44.\n5. Substitute k = l + 3 to f, which gives f = l + 47.\n6. Substitute l = 19 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 14082,
"question": "Suppose a collection of variables is related by the following definitions: z = s + 19; w = h + 9; k = l + 3; b = m + 13; q = k + 8; l = 19; s = b + 3; r = c + 1; e = r + 14; f = e + 11; m = w + 2; h = l + 20; c = q + 10. Given that l = 19, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 19", "n": "x + 10", "i": "n + 5", "z": "i + 18", "b": "z + 19", "g": "b + 11", "t": "o + 12", "m": "t + 1", "h": "m + 5", "e": "h + 1", "k": "e + 1", "d": "k + 8", "o": 3}, "premises": {"o": 3}, "target": "g"}, "answer": {"steps": [["b", "z + 19", "z + 30"], ["z", "i + 18", "i + 48"], ["i", "n + 5", "n + 53"], ["n", "x + 10", "x + 63"], ["x", "o + 19", "o + 82"], ["o", 3, "85"]], "target_var_name": "g", "target_value": 85, "value_dict": {"o": 3}, "is_reverse": true}} | 14,083 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = 3; i = n + 5; g = b + 11; z = i + 18; b = z + 19; n = x + 10; k = e + 1; e = h + 1; m = t + 1; t = o + 12; d = k + 8; x = o + 19; h = m + 5. If o = 3, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 19 to g, which gives g = z + 30.\n2. Substitute z = i + 18 to g, which gives g = i + 48.\n3. Substitute i = n + 5 to g, which gives g = n + 53.\n4. Substitute n = x + 10 to g, which gives g = x + 63.\n5. Substitute x = o + 19 to g, which gives g = o + 82.\n6. Substitute o = 3 to g, which gives g = 85.\n\nThus, the final answer is g = \\boxed{85}.",
"index": 14083,
"question": "Consider a system of variables where each variable is defined as follows: o = 3; i = n + 5; g = b + 11; z = i + 18; b = z + 19; n = x + 10; k = e + 1; e = h + 1; m = t + 1; t = o + 12; d = k + 8; x = o + 19; h = m + 5. If o = 3, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 12", "d": "z + 9", "x": "d + 16", "e": "x + 13", "v": "e + 11", "y": "v + 4", "s": "r + 16", "b": "s + 15", "f": "b + 15", "i": "f + 20", "p": "i + 5", "m": "p + 12", "r": 11}, "premises": {"r": 11}, "target": "y"}, "answer": {"steps": [["v", "e + 11", "e + 15"], ["e", "x + 13", "x + 28"], ["x", "d + 16", "d + 44"], ["d", "z + 9", "z + 53"], ["z", "r + 12", "r + 65"], ["r", 11, "76"]], "target_var_name": "y", "target_value": 76, "value_dict": {"r": 11}, "is_reverse": true}} | 14,084 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 20; p = i + 5; x = d + 16; z = r + 12; s = r + 16; r = 11; e = x + 13; y = v + 4; d = z + 9; f = b + 15; b = s + 15; m = p + 12; v = e + 11. If r = 11, what is the resulting value of y?",
"role": "u... | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 11 to y, which gives y = e + 15.\n2. Substitute e = x + 13 to y, which gives y = x + 28.\n3. Substitute x = d + 16 to y, which gives y = d + 44.\n4. Substitute d = z + 9 to y, which gives y = z + 53.\n5. Substitute z = r + 12 to y, which gives y = r + 65.\n6. Substitute r = 11 to y, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 14084,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 20; p = i + 5; x = d + 16; z = r + 12; s = r + 16; r = 11; e = x + 13; y = v + 4; d = z + 9; f = b + 15; b = s + 15; m = p + 12; v = e + 11. If r = 11, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 19", "z": "y + 11", "d": "z + 8", "c": "d + 4", "m": "c + 20", "p": "m + 12", "v": "u + 9", "q": "v + 6", "b": "q + 1", "e": "b + 13", "i": "e + 17", "k": "i + 15", "u": 19}, "premises": {"u": 19}, "target": "p"}, "answer": {"steps": [["m", "c + 20", "c + 32"], ["c", "d + 4", "d + 36"], ["d", "z + 8", "z + 44"], ["z", "y + 11", "y + 55"], ["y", "u + 19", "u + 74"], ["u", 19, "93"]], "target_var_name": "p", "target_value": 93, "value_dict": {"u": 19}, "is_reverse": true}} | 14,085 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = 19; v = u + 9; b = q + 1; y = u + 19; k = i + 15; p = m + 12; i = e + 17; m = c + 20; c = d + 4; e = b + 13; q = v + 6; z = y + 11; d = z + 8. Given that u = 19, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 20 to p, which gives p = c + 32.\n2. Substitute c = d + 4 to p, which gives p = d + 36.\n3. Substitute d = z + 8 to p, which gives p = z + 44.\n4. Substitute z = y + 11 to p, which gives p = y + 55.\n5. Substitute y = u + 19 to p, which gives p = u + 74.\n6. Substitute u = 19 to p, which gives p = 93.\n\nThus, the final answer is p = \\boxed{93}.",
"index": 14085,
"question": "Suppose a collection of variables is related by the following definitions: u = 19; v = u + 9; b = q + 1; y = u + 19; k = i + 15; p = m + 12; i = e + 17; m = c + 20; c = d + 4; e = b + 13; q = v + 6; z = y + 11; d = z + 8. Given that u = 19, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"v": "z + 17", "i": "v + 5", "w": "i + 13", "c": "w + 11", "k": "c + 11", "f": "k + 3", "e": "z + 7", "a": "e + 11", "o": "a + 7", "p": "o + 12", "d": "p + 5", "n": "d + 19", "z": 9}, "premises": {"z": 9}, "target": "f"}, "answer": {"steps": [["k", "c + 11", "c + 14"], ["c", "w + 11", "w + 25"], ["w", "i + 13", "i + 38"], ["i", "v + 5", "v + 43"], ["v", "z + 17", "z + 60"], ["z", 9, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"z": 9}, "is_reverse": true}} | 14,086 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = o + 12; z = 9; e = z + 7; c = w + 11; d = p + 5; i = v + 5; n = d + 19; k = c + 11; a = e + 11; o = a + 7; w = i + 13; v = z + 17; f = k + 3. Given that z = 9, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 11 to f, which gives f = c + 14.\n2. Substitute c = w + 11 to f, which gives f = w + 25.\n3. Substitute w = i + 13 to f, which gives f = i + 38.\n4. Substitute i = v + 5 to f, which gives f = v + 43.\n5. Substitute v = z + 17 to f, which gives f = z + 60.\n6. Substitute z = 9 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 14086,
"question": "Suppose a collection of variables is related by the following definitions: p = o + 12; z = 9; e = z + 7; c = w + 11; d = p + 5; i = v + 5; n = d + 19; k = c + 11; a = e + 11; o = a + 7; w = i + 13; v = z + 17; f = k + 3. Given that z = 9, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 2", "m": "y + 9", "u": "m + 15", "c": "u + 9", "v": "c + 13", "n": "v + 17", "d": "s + 9", "a": "d + 18", "p": "a + 17", "z": "p + 10", "h": "z + 17", "q": "h + 9", "s": 15}, "premises": {"s": 15}, "target": "n"}, "answer": {"steps": [["v", "c + 13", "c + 30"], ["c", "u + 9", "u + 39"], ["u", "m + 15", "m + 54"], ["m", "y + 9", "y + 63"], ["y", "s + 2", "s + 65"], ["s", 15, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"s": 15}, "is_reverse": true}} | 14,087 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = d + 18; d = s + 9; s = 15; v = c + 13; q = h + 9; u = m + 15; n = v + 17; y = s + 2; z = p + 10; h = z + 17; p = a + 17; m = y + 9; c = u + 9. If s = 15, what is the resulting value of n?",
"role": "use... | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 13 to n, which gives n = c + 30.\n2. Substitute c = u + 9 to n, which gives n = u + 39.\n3. Substitute u = m + 15 to n, which gives n = m + 54.\n4. Substitute m = y + 9 to n, which gives n = y + 63.\n5. Substitute y = s + 2 to n, which gives n = s + 65.\n6. Substitute s = 15 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 14087,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = d + 18; d = s + 9; s = 15; v = c + 13; q = h + 9; u = m + 15; n = v + 17; y = s + 2; z = p + 10; h = z + 17; p = a + 17; m = y + 9; c = u + 9. If s = 15, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 7", "v": "l + 19", "c": "v + 16", "x": "c + 15", "w": "x + 13", "m": "w + 11", "p": "k + 16", "i": "p + 12", "z": "i + 1", "j": "z + 18", "o": "j + 17", "a": "o + 6", "k": 19}, "premises": {"k": 19}, "target": "m"}, "answer": {"steps": [["w", "x + 13", "x + 24"], ["x", "c + 15", "c + 39"], ["c", "v + 16", "v + 55"], ["v", "l + 19", "l + 74"], ["l", "k + 7", "k + 81"], ["k", 19, "100"]], "target_var_name": "m", "target_value": 100, "value_dict": {"k": 19}, "is_reverse": true}} | 14,088 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = j + 17; p = k + 16; k = 19; c = v + 16; m = w + 11; v = l + 19; a = o + 6; l = k + 7; i = p + 12; x = c + 15; j = z + 18; z = i + 1; w = x + 13. If k = 19, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 13 to m, which gives m = x + 24.\n2. Substitute x = c + 15 to m, which gives m = c + 39.\n3. Substitute c = v + 16 to m, which gives m = v + 55.\n4. Substitute v = l + 19 to m, which gives m = l + 74.\n5. Substitute l = k + 7 to m, which gives m = k + 81.\n6. Substitute k = 19 to m, which gives m = 100.\n\nThus, the final answer is m = \\boxed{100}.",
"index": 14088,
"question": "Consider a system of variables where each variable is defined as follows: o = j + 17; p = k + 16; k = 19; c = v + 16; m = w + 11; v = l + 19; a = o + 6; l = k + 7; i = p + 12; x = c + 15; j = z + 18; z = i + 1; w = x + 13. If k = 19, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 4", "p": "r + 3", "i": "p + 15", "u": "i + 10", "z": "u + 16", "d": "z + 1", "m": "o + 13", "n": "m + 12", "e": "n + 4", "k": "e + 15", "t": "k + 2", "s": "t + 3", "o": 15}, "premises": {"o": 15}, "target": "d"}, "answer": {"steps": [["z", "u + 16", "u + 17"], ["u", "i + 10", "i + 27"], ["i", "p + 15", "p + 42"], ["p", "r + 3", "r + 45"], ["r", "o + 4", "o + 49"], ["o", 15, "64"]], "target_var_name": "d", "target_value": 64, "value_dict": {"o": 15}, "is_reverse": true}} | 14,089 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = i + 10; n = m + 12; o = 15; p = r + 3; d = z + 1; m = o + 13; r = o + 4; s = t + 3; i = p + 15; k = e + 15; e = n + 4; z = u + 16; t = k + 2. If o = 15, what is the resulting value of d?",
"role": "user... | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 16 to d, which gives d = u + 17.\n2. Substitute u = i + 10 to d, which gives d = i + 27.\n3. Substitute i = p + 15 to d, which gives d = p + 42.\n4. Substitute p = r + 3 to d, which gives d = r + 45.\n5. Substitute r = o + 4 to d, which gives d = o + 49.\n6. Substitute o = 15 to d, which gives d = 64.\n\nThus, the final answer is d = \\boxed{64}.",
"index": 14089,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = i + 10; n = m + 12; o = 15; p = r + 3; d = z + 1; m = o + 13; r = o + 4; s = t + 3; i = p + 15; k = e + 15; e = n + 4; z = u + 16; t = k + 2. If o = 15, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 9", "r": "q + 20", "o": "r + 7", "g": "o + 13", "h": "g + 16", "v": "h + 4", "l": "i + 2", "c": "l + 18", "t": "c + 13", "s": "t + 4", "n": "s + 2", "j": "n + 18", "i": 11}, "premises": {"i": 11}, "target": "v"}, "answer": {"steps": [["h", "g + 16", "g + 20"], ["g", "o + 13", "o + 33"], ["o", "r + 7", "r + 40"], ["r", "q + 20", "q + 60"], ["q", "i + 9", "i + 69"], ["i", 11, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"i": 11}, "is_reverse": true}} | 14,090 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = s + 2; i = 11; g = o + 13; l = i + 2; q = i + 9; c = l + 18; t = c + 13; s = t + 4; j = n + 18; o = r + 7; r = q + 20; v = h + 4; h = g + 16. If i = 11, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 16 to v, which gives v = g + 20.\n2. Substitute g = o + 13 to v, which gives v = o + 33.\n3. Substitute o = r + 7 to v, which gives v = r + 40.\n4. Substitute r = q + 20 to v, which gives v = q + 60.\n5. Substitute q = i + 9 to v, which gives v = i + 69.\n6. Substitute i = 11 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 14090,
"question": "Consider a system of variables where each variable is defined as follows: n = s + 2; i = 11; g = o + 13; l = i + 2; q = i + 9; c = l + 18; t = c + 13; s = t + 4; j = n + 18; o = r + 7; r = q + 20; v = h + 4; h = g + 16. If i = 11, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 6", "f": "h + 15", "o": "f + 16", "x": "o + 13", "c": "x + 6", "q": "c + 4", "t": "u + 8", "g": "t + 3", "k": "g + 9", "m": "k + 11", "b": "m + 2", "v": "b + 8", "u": 10}, "premises": {"u": 10}, "target": "q"}, "answer": {"steps": [["c", "x + 6", "x + 10"], ["x", "o + 13", "o + 23"], ["o", "f + 16", "f + 39"], ["f", "h + 15", "h + 54"], ["h", "u + 6", "u + 60"], ["u", 10, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"u": 10}, "is_reverse": true}} | 14,091 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 2; t = u + 8; u = 10; f = h + 15; o = f + 16; v = b + 8; m = k + 11; k = g + 9; x = o + 13; q = c + 4; h = u + 6; g = t + 3; c = x + 6. Given that u = 10, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 6 to q, which gives q = x + 10.\n2. Substitute x = o + 13 to q, which gives q = o + 23.\n3. Substitute o = f + 16 to q, which gives q = f + 39.\n4. Substitute f = h + 15 to q, which gives q = h + 54.\n5. Substitute h = u + 6 to q, which gives q = u + 60.\n6. Substitute u = 10 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 14091,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 2; t = u + 8; u = 10; f = h + 15; o = f + 16; v = b + 8; m = k + 11; k = g + 9; x = o + 13; q = c + 4; h = u + 6; g = t + 3; c = x + 6. Given that u = 10, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 15", "m": "s + 14", "q": "m + 18", "r": "q + 19", "u": "r + 19", "d": "u + 6", "c": "y + 2", "b": "c + 6", "h": "b + 16", "v": "h + 4", "o": "v + 4", "w": "o + 4", "y": 13}, "premises": {"y": 13}, "target": "d"}, "answer": {"steps": [["u", "r + 19", "r + 25"], ["r", "q + 19", "q + 44"], ["q", "m + 18", "m + 62"], ["m", "s + 14", "s + 76"], ["s", "y + 15", "y + 91"], ["y", 13, "104"]], "target_var_name": "d", "target_value": 104, "value_dict": {"y": 13}, "is_reverse": true}} | 14,092 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = y + 15; b = c + 6; r = q + 19; h = b + 16; w = o + 4; v = h + 4; d = u + 6; y = 13; u = r + 19; m = s + 14; c = y + 2; o = v + 4; q = m + 18. If y = 13, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 19 to d, which gives d = r + 25.\n2. Substitute r = q + 19 to d, which gives d = q + 44.\n3. Substitute q = m + 18 to d, which gives d = m + 62.\n4. Substitute m = s + 14 to d, which gives d = s + 76.\n5. Substitute s = y + 15 to d, which gives d = y + 91.\n6. Substitute y = 13 to d, which gives d = 104.\n\nThus, the final answer is d = \\boxed{104}.",
"index": 14092,
"question": "Consider a system of variables where each variable is defined as follows: s = y + 15; b = c + 6; r = q + 19; h = b + 16; w = o + 4; v = h + 4; d = u + 6; y = 13; u = r + 19; m = s + 14; c = y + 2; o = v + 4; q = m + 18. If y = 13, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 2", "d": "k + 9", "m": "d + 19", "e": "m + 4", "q": "e + 9", "y": "q + 5", "c": "n + 9", "l": "c + 11", "f": "l + 19", "u": "f + 17", "x": "u + 5", "t": "x + 13", "n": 5}, "premises": {"n": 5}, "target": "y"}, "answer": {"steps": [["q", "e + 9", "e + 14"], ["e", "m + 4", "m + 18"], ["m", "d + 19", "d + 37"], ["d", "k + 9", "k + 46"], ["k", "n + 2", "n + 48"], ["n", 5, "53"]], "target_var_name": "y", "target_value": 53, "value_dict": {"n": 5}, "is_reverse": true}} | 14,093 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = 5; k = n + 2; u = f + 17; y = q + 5; l = c + 11; m = d + 19; e = m + 4; x = u + 5; q = e + 9; c = n + 9; t = x + 13; f = l + 19; d = k + 9. Given that n = 5, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 9 to y, which gives y = e + 14.\n2. Substitute e = m + 4 to y, which gives y = m + 18.\n3. Substitute m = d + 19 to y, which gives y = d + 37.\n4. Substitute d = k + 9 to y, which gives y = k + 46.\n5. Substitute k = n + 2 to y, which gives y = n + 48.\n6. Substitute n = 5 to y, which gives y = 53.\n\nThus, the final answer is y = \\boxed{53}.",
"index": 14093,
"question": "Suppose a collection of variables is related by the following definitions: n = 5; k = n + 2; u = f + 17; y = q + 5; l = c + 11; m = d + 19; e = m + 4; x = u + 5; q = e + 9; c = n + 9; t = x + 13; f = l + 19; d = k + 9. Given that n = 5, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"u": "q + 8", "j": "u + 20", "l": "j + 13", "n": "l + 20", "b": "n + 14", "c": "b + 18", "r": "q + 17", "d": "r + 2", "s": "d + 7", "t": "s + 3", "m": "t + 13", "g": "m + 8", "q": 7}, "premises": {"q": 7}, "target": "c"}, "answer": {"steps": [["b", "n + 14", "n + 32"], ["n", "l + 20", "l + 52"], ["l", "j + 13", "j + 65"], ["j", "u + 20", "u + 85"], ["u", "q + 8", "q + 93"], ["q", 7, "100"]], "target_var_name": "c", "target_value": 100, "value_dict": {"q": 7}, "is_reverse": true}} | 14,094 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = q + 17; g = m + 8; l = j + 13; d = r + 2; q = 7; n = l + 20; c = b + 18; m = t + 13; b = n + 14; t = s + 3; s = d + 7; j = u + 20; u = q + 8. Given that q = 7, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 14 to c, which gives c = n + 32.\n2. Substitute n = l + 20 to c, which gives c = l + 52.\n3. Substitute l = j + 13 to c, which gives c = j + 65.\n4. Substitute j = u + 20 to c, which gives c = u + 85.\n5. Substitute u = q + 8 to c, which gives c = q + 93.\n6. Substitute q = 7 to c, which gives c = 100.\n\nThus, the final answer is c = \\boxed{100}.",
"index": 14094,
"question": "Suppose a collection of variables is related by the following definitions: r = q + 17; g = m + 8; l = j + 13; d = r + 2; q = 7; n = l + 20; c = b + 18; m = t + 13; b = n + 14; t = s + 3; s = d + 7; j = u + 20; u = q + 8. Given that q = 7, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 1", "p": "k + 11", "j": "p + 15", "y": "j + 20", "m": "y + 20", "c": "m + 3", "w": "s + 20", "n": "w + 18", "g": "n + 9", "z": "g + 2", "r": "z + 11", "d": "r + 19", "s": 4}, "premises": {"s": 4}, "target": "c"}, "answer": {"steps": [["m", "y + 20", "y + 23"], ["y", "j + 20", "j + 43"], ["j", "p + 15", "p + 58"], ["p", "k + 11", "k + 69"], ["k", "s + 1", "s + 70"], ["s", 4, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"s": 4}, "is_reverse": true}} | 14,095 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = k + 11; s = 4; d = r + 19; y = j + 20; z = g + 2; k = s + 1; c = m + 3; m = y + 20; w = s + 20; g = n + 9; j = p + 15; r = z + 11; n = w + 18. If s = 4, what is the resulting value of c?",
"role": "user... | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 20 to c, which gives c = y + 23.\n2. Substitute y = j + 20 to c, which gives c = j + 43.\n3. Substitute j = p + 15 to c, which gives c = p + 58.\n4. Substitute p = k + 11 to c, which gives c = k + 69.\n5. Substitute k = s + 1 to c, which gives c = s + 70.\n6. Substitute s = 4 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 14095,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = k + 11; s = 4; d = r + 19; y = j + 20; z = g + 2; k = s + 1; c = m + 3; m = y + 20; w = s + 20; g = n + 9; j = p + 15; r = z + 11; n = w + 18. If s = 4, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 17", "x": "z + 1", "w": "x + 16", "u": "w + 1", "o": "u + 17", "n": "o + 12", "k": "y + 9", "v": "k + 15", "b": "v + 7", "d": "b + 3", "l": "d + 9", "g": "l + 9", "y": 10}, "premises": {"y": 10}, "target": "n"}, "answer": {"steps": [["o", "u + 17", "u + 29"], ["u", "w + 1", "w + 30"], ["w", "x + 16", "x + 46"], ["x", "z + 1", "z + 47"], ["z", "y + 17", "y + 64"], ["y", 10, "74"]], "target_var_name": "n", "target_value": 74, "value_dict": {"y": 10}, "is_reverse": true}} | 14,096 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = b + 3; x = z + 1; y = 10; b = v + 7; n = o + 12; w = x + 16; k = y + 9; o = u + 17; z = y + 17; g = l + 9; v = k + 15; l = d + 9; u = w + 1. If y = 10, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 17 to n, which gives n = u + 29.\n2. Substitute u = w + 1 to n, which gives n = w + 30.\n3. Substitute w = x + 16 to n, which gives n = x + 46.\n4. Substitute x = z + 1 to n, which gives n = z + 47.\n5. Substitute z = y + 17 to n, which gives n = y + 64.\n6. Substitute y = 10 to n, which gives n = 74.\n\nThus, the final answer is n = \\boxed{74}.",
"index": 14096,
"question": "Consider a system of variables where each variable is defined as follows: d = b + 3; x = z + 1; y = 10; b = v + 7; n = o + 12; w = x + 16; k = y + 9; o = u + 17; z = y + 17; g = l + 9; v = k + 15; l = d + 9; u = w + 1. If y = 10, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 17", "m": "z + 1", "e": "m + 2", "g": "e + 4", "t": "g + 5", "i": "t + 15", "w": "y + 15", "j": "w + 3", "u": "j + 3", "x": "u + 11", "q": "x + 20", "b": "q + 12", "y": 5}, "premises": {"y": 5}, "target": "i"}, "answer": {"steps": [["t", "g + 5", "g + 20"], ["g", "e + 4", "e + 24"], ["e", "m + 2", "m + 26"], ["m", "z + 1", "z + 27"], ["z", "y + 17", "y + 44"], ["y", 5, "49"]], "target_var_name": "i", "target_value": 49, "value_dict": {"y": 5}, "is_reverse": true}} | 14,097 | 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 = m + 2; b = q + 12; w = y + 15; m = z + 1; z = y + 17; y = 5; g = e + 4; x = u + 11; j = w + 3; t = g + 5; u = j + 3; q = x + 20; i = t + 15. If y = 5, what is the resulting value of i?",
"role": "user"
... | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 5 to i, which gives i = g + 20.\n2. Substitute g = e + 4 to i, which gives i = e + 24.\n3. Substitute e = m + 2 to i, which gives i = m + 26.\n4. Substitute m = z + 1 to i, which gives i = z + 27.\n5. Substitute z = y + 17 to i, which gives i = y + 44.\n6. Substitute y = 5 to i, which gives i = 49.\n\nThus, the final answer is i = \\boxed{49}.",
"index": 14097,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = m + 2; b = q + 12; w = y + 15; m = z + 1; z = y + 17; y = 5; g = e + 4; x = u + 11; j = w + 3; t = g + 5; u = j + 3; q = x + 20; i = t + 15. If y = 5, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 10", "e": "l + 1", "k": "e + 17", "z": "k + 3", "g": "z + 17", "j": "g + 3", "d": "x + 18", "i": "d + 11", "s": "i + 11", "n": "s + 16", "v": "n + 18", "p": "v + 18", "x": 17}, "premises": {"x": 17}, "target": "j"}, "answer": {"steps": [["g", "z + 17", "z + 20"], ["z", "k + 3", "k + 23"], ["k", "e + 17", "e + 40"], ["e", "l + 1", "l + 41"], ["l", "x + 10", "x + 51"], ["x", 17, "68"]], "target_var_name": "j", "target_value": 68, "value_dict": {"x": 17}, "is_reverse": true}} | 14,098 | 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 = i + 11; k = e + 17; j = g + 3; g = z + 17; z = k + 3; x = 17; n = s + 16; i = d + 11; d = x + 18; p = v + 18; l = x + 10; v = n + 18; e = l + 1. If x = 17, what is the resulting value of j?",
"role": "u... | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 17 to j, which gives j = z + 20.\n2. Substitute z = k + 3 to j, which gives j = k + 23.\n3. Substitute k = e + 17 to j, which gives j = e + 40.\n4. Substitute e = l + 1 to j, which gives j = l + 41.\n5. Substitute l = x + 10 to j, which gives j = x + 51.\n6. Substitute x = 17 to j, which gives j = 68.\n\nThus, the final answer is j = \\boxed{68}.",
"index": 14098,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = i + 11; k = e + 17; j = g + 3; g = z + 17; z = k + 3; x = 17; n = s + 16; i = d + 11; d = x + 18; p = v + 18; l = x + 10; v = n + 18; e = l + 1. If x = 17, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"p": "z + 9", "i": "p + 5", "u": "i + 6", "g": "u + 5", "j": "g + 13", "m": "j + 9", "t": "z + 12", "o": "t + 4", "b": "o + 16", "s": "b + 14", "w": "s + 3", "c": "w + 5", "z": 18}, "premises": {"z": 18}, "target": "m"}, "answer": {"steps": [["j", "g + 13", "g + 22"], ["g", "u + 5", "u + 27"], ["u", "i + 6", "i + 33"], ["i", "p + 5", "p + 38"], ["p", "z + 9", "z + 47"], ["z", 18, "65"]], "target_var_name": "m", "target_value": 65, "value_dict": {"z": 18}, "is_reverse": true}} | 14,099 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = s + 3; m = j + 9; z = 18; p = z + 9; u = i + 6; s = b + 14; t = z + 12; g = u + 5; c = w + 5; j = g + 13; o = t + 4; b = o + 16; i = p + 5. If z = 18, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 13 to m, which gives m = g + 22.\n2. Substitute g = u + 5 to m, which gives m = u + 27.\n3. Substitute u = i + 6 to m, which gives m = i + 33.\n4. Substitute i = p + 5 to m, which gives m = p + 38.\n5. Substitute p = z + 9 to m, which gives m = z + 47.\n6. Substitute z = 18 to m, which gives m = 65.\n\nThus, the final answer is m = \\boxed{65}.",
"index": 14099,
"question": "Consider a system of variables where each variable is defined as follows: w = s + 3; m = j + 9; z = 18; p = z + 9; u = i + 6; s = b + 14; t = z + 12; g = u + 5; c = w + 5; j = g + 13; o = t + 4; b = o + 16; i = p + 5. If z = 18, determine the value of m.",
"split": "train"
} |
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