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": {"u": "a + 18", "d": "u + 6", "w": "d + 17", "t": "w + 17", "j": "t + 14", "x": "j + 10", "k": "a + 1", "p": "k + 10", "v": "p + 18", "i": "v + 15", "l": "i + 5", "n": "l + 2", "a": 1}, "premises": {"a": 1}, "target": "x"}, "answer": {"steps": [["j", "t + 14", "t + 24"], ["t", "w + 17", "w + 41"], ["w", "d + 17", "d + 58"], ["d", "u + 6", "u + 64"], ["u", "a + 18", "a + 82"], ["a", 1, "83"]], "target_var_name": "x", "target_value": 83, "value_dict": {"a": 1}, "is_reverse": true}} | 19,000 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 10; i = v + 15; u = a + 18; w = d + 17; p = k + 10; d = u + 6; t = w + 17; k = a + 1; l = i + 5; v = p + 18; n = l + 2; j = t + 14; a = 1. If a = 1, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 14 to x, which gives x = t + 24.\n2. Substitute t = w + 17 to x, which gives x = w + 41.\n3. Substitute w = d + 17 to x, which gives x = d + 58.\n4. Substitute d = u + 6 to x, which gives x = u + 64.\n5. Substitute u = a + 18 to x, which gives x = a + 82.\n6. Substitute a = 1 to x, which gives x = 83.\n\nThus, the final answer is x = \\boxed{83}.",
"index": 19000,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 10; i = v + 15; u = a + 18; w = d + 17; p = k + 10; d = u + 6; t = w + 17; k = a + 1; l = i + 5; v = p + 18; n = l + 2; j = t + 14; a = 1. If a = 1, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 19", "l": "t + 20", "r": "l + 17", "m": "r + 13", "i": "m + 2", "o": "i + 7", "s": "q + 19", "n": "s + 7", "y": "n + 12", "z": "y + 9", "d": "z + 13", "u": "d + 2", "q": 3}, "premises": {"q": 3}, "target": "o"}, "answer": {"steps": [["i", "m + 2", "m + 9"], ["m", "r + 13", "r + 22"], ["r", "l + 17", "l + 39"], ["l", "t + 20", "t + 59"], ["t", "q + 19", "q + 78"], ["q", 3, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"q": 3}, "is_reverse": true}} | 19,001 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = n + 12; d = z + 13; z = y + 9; s = q + 19; n = s + 7; m = r + 13; r = l + 17; i = m + 2; o = i + 7; u = d + 2; t = q + 19; q = 3; l = t + 20. If q = 3, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 2 to o, which gives o = m + 9.\n2. Substitute m = r + 13 to o, which gives o = r + 22.\n3. Substitute r = l + 17 to o, which gives o = l + 39.\n4. Substitute l = t + 20 to o, which gives o = t + 59.\n5. Substitute t = q + 19 to o, which gives o = q + 78.\n6. Substitute q = 3 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 19001,
"question": "Consider a system of variables where each variable is defined as follows: y = n + 12; d = z + 13; z = y + 9; s = q + 19; n = s + 7; m = r + 13; r = l + 17; i = m + 2; o = i + 7; u = d + 2; t = q + 19; q = 3; l = t + 20. If q = 3, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"l": "a + 3", "s": "l + 20", "b": "s + 9", "k": "b + 9", "w": "k + 18", "x": "w + 14", "t": "a + 2", "y": "t + 10", "g": "y + 14", "c": "g + 1", "r": "c + 8", "m": "r + 7", "a": 4}, "premises": {"a": 4}, "target": "x"}, "answer": {"steps": [["w", "k + 18", "k + 32"], ["k", "b + 9", "b + 41"], ["b", "s + 9", "s + 50"], ["s", "l + 20", "l + 70"], ["l", "a + 3", "a + 73"], ["a", 4, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"a": 4}, "is_reverse": true}} | 19,002 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = g + 1; k = b + 9; b = s + 9; s = l + 20; r = c + 8; t = a + 2; g = y + 14; y = t + 10; w = k + 18; l = a + 3; x = w + 14; m = r + 7; a = 4. If a = 4, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 18 to x, which gives x = k + 32.\n2. Substitute k = b + 9 to x, which gives x = b + 41.\n3. Substitute b = s + 9 to x, which gives x = s + 50.\n4. Substitute s = l + 20 to x, which gives x = l + 70.\n5. Substitute l = a + 3 to x, which gives x = a + 73.\n6. Substitute a = 4 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 19002,
"question": "Consider a system of variables where each variable is defined as follows: c = g + 1; k = b + 9; b = s + 9; s = l + 20; r = c + 8; t = a + 2; g = y + 14; y = t + 10; w = k + 18; l = a + 3; x = w + 14; m = r + 7; a = 4. If a = 4, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"w": "c + 6", "f": "w + 6", "h": "f + 16", "r": "h + 15", "v": "r + 12", "l": "v + 18", "x": "c + 10", "y": "x + 17", "d": "y + 10", "o": "d + 9", "z": "o + 10", "q": "z + 15", "c": 11}, "premises": {"c": 11}, "target": "l"}, "answer": {"steps": [["v", "r + 12", "r + 30"], ["r", "h + 15", "h + 45"], ["h", "f + 16", "f + 61"], ["f", "w + 6", "w + 67"], ["w", "c + 6", "c + 73"], ["c", 11, "84"]], "target_var_name": "l", "target_value": 84, "value_dict": {"c": 11}, "is_reverse": true}} | 19,003 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 15; c = 11; v = r + 12; d = y + 10; o = d + 9; l = v + 18; z = o + 10; f = w + 6; w = c + 6; h = f + 16; y = x + 17; x = c + 10; q = z + 15. If c = 11, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 12 to l, which gives l = r + 30.\n2. Substitute r = h + 15 to l, which gives l = h + 45.\n3. Substitute h = f + 16 to l, which gives l = f + 61.\n4. Substitute f = w + 6 to l, which gives l = w + 67.\n5. Substitute w = c + 6 to l, which gives l = c + 73.\n6. Substitute c = 11 to l, which gives l = 84.\n\nThus, the final answer is l = \\boxed{84}.",
"index": 19003,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 15; c = 11; v = r + 12; d = y + 10; o = d + 9; l = v + 18; z = o + 10; f = w + 6; w = c + 6; h = f + 16; y = x + 17; x = c + 10; q = z + 15. If c = 11, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 12", "i": "c + 13", "s": "i + 20", "o": "s + 8", "f": "o + 2", "v": "f + 8", "g": "n + 14", "z": "g + 17", "h": "z + 4", "k": "h + 4", "y": "k + 19", "t": "y + 17", "n": 11}, "premises": {"n": 11}, "target": "v"}, "answer": {"steps": [["f", "o + 2", "o + 10"], ["o", "s + 8", "s + 18"], ["s", "i + 20", "i + 38"], ["i", "c + 13", "c + 51"], ["c", "n + 12", "n + 63"], ["n", 11, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"n": 11}, "is_reverse": true}} | 19,004 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = y + 17; g = n + 14; f = o + 2; s = i + 20; c = n + 12; v = f + 8; y = k + 19; i = c + 13; n = 11; h = z + 4; o = s + 8; k = h + 4; z = g + 17. If n = 11, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 2 to v, which gives v = o + 10.\n2. Substitute o = s + 8 to v, which gives v = s + 18.\n3. Substitute s = i + 20 to v, which gives v = i + 38.\n4. Substitute i = c + 13 to v, which gives v = c + 51.\n5. Substitute c = n + 12 to v, which gives v = n + 63.\n6. Substitute n = 11 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 19004,
"question": "Consider a system of variables where each variable is defined as follows: t = y + 17; g = n + 14; f = o + 2; s = i + 20; c = n + 12; v = f + 8; y = k + 19; i = c + 13; n = 11; h = z + 4; o = s + 8; k = h + 4; z = g + 17. If n = 11, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 10", "v": "r + 13", "x": "v + 18", "l": "x + 12", "n": "l + 19", "g": "n + 17", "a": "h + 6", "d": "a + 13", "j": "d + 11", "u": "j + 16", "z": "u + 3", "w": "z + 16", "h": 18}, "premises": {"h": 18}, "target": "g"}, "answer": {"steps": [["n", "l + 19", "l + 36"], ["l", "x + 12", "x + 48"], ["x", "v + 18", "v + 66"], ["v", "r + 13", "r + 79"], ["r", "h + 10", "h + 89"], ["h", 18, "107"]], "target_var_name": "g", "target_value": 107, "value_dict": {"h": 18}, "is_reverse": true}} | 19,005 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = l + 19; v = r + 13; w = z + 16; h = 18; l = x + 12; d = a + 13; z = u + 3; g = n + 17; u = j + 16; j = d + 11; r = h + 10; x = v + 18; a = h + 6. Given that h = 18, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 19 to g, which gives g = l + 36.\n2. Substitute l = x + 12 to g, which gives g = x + 48.\n3. Substitute x = v + 18 to g, which gives g = v + 66.\n4. Substitute v = r + 13 to g, which gives g = r + 79.\n5. Substitute r = h + 10 to g, which gives g = h + 89.\n6. Substitute h = 18 to g, which gives g = 107.\n\nThus, the final answer is g = \\boxed{107}.",
"index": 19005,
"question": "Suppose a collection of variables is related by the following definitions: n = l + 19; v = r + 13; w = z + 16; h = 18; l = x + 12; d = a + 13; z = u + 3; g = n + 17; u = j + 16; j = d + 11; r = h + 10; x = v + 18; a = h + 6. Given that h = 18, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 13", "z": "d + 3", "t": "z + 16", "e": "t + 20", "u": "e + 19", "m": "u + 20", "b": "r + 13", "i": "b + 14", "y": "i + 14", "g": "y + 9", "o": "g + 12", "l": "o + 12", "r": 3}, "premises": {"r": 3}, "target": "m"}, "answer": {"steps": [["u", "e + 19", "e + 39"], ["e", "t + 20", "t + 59"], ["t", "z + 16", "z + 75"], ["z", "d + 3", "d + 78"], ["d", "r + 13", "r + 91"], ["r", 3, "94"]], "target_var_name": "m", "target_value": 94, "value_dict": {"r": 3}, "is_reverse": true}} | 19,006 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = e + 19; o = g + 12; e = t + 20; m = u + 20; l = o + 12; g = y + 9; r = 3; y = i + 14; b = r + 13; t = z + 16; z = d + 3; d = r + 13; i = b + 14. Given that r = 3, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 19 to m, which gives m = e + 39.\n2. Substitute e = t + 20 to m, which gives m = t + 59.\n3. Substitute t = z + 16 to m, which gives m = z + 75.\n4. Substitute z = d + 3 to m, which gives m = d + 78.\n5. Substitute d = r + 13 to m, which gives m = r + 91.\n6. Substitute r = 3 to m, which gives m = 94.\n\nThus, the final answer is m = \\boxed{94}.",
"index": 19006,
"question": "Suppose a collection of variables is related by the following definitions: u = e + 19; o = g + 12; e = t + 20; m = u + 20; l = o + 12; g = y + 9; r = 3; y = i + 14; b = r + 13; t = z + 16; z = d + 3; d = r + 13; i = b + 14. Given that r = 3, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 14", "s": "b + 6", "m": "s + 5", "i": "m + 14", "d": "i + 2", "u": "d + 1", "j": "n + 16", "t": "j + 18", "y": "t + 7", "c": "y + 15", "g": "c + 15", "x": "g + 17", "n": 8}, "premises": {"n": 8}, "target": "u"}, "answer": {"steps": [["d", "i + 2", "i + 3"], ["i", "m + 14", "m + 17"], ["m", "s + 5", "s + 22"], ["s", "b + 6", "b + 28"], ["b", "n + 14", "n + 42"], ["n", 8, "50"]], "target_var_name": "u", "target_value": 50, "value_dict": {"n": 8}, "is_reverse": true}} | 19,007 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = t + 7; g = c + 15; x = g + 17; n = 8; i = m + 14; m = s + 5; j = n + 16; u = d + 1; d = i + 2; b = n + 14; s = b + 6; t = j + 18; c = y + 15. Given that n = 8, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 2 to u, which gives u = i + 3.\n2. Substitute i = m + 14 to u, which gives u = m + 17.\n3. Substitute m = s + 5 to u, which gives u = s + 22.\n4. Substitute s = b + 6 to u, which gives u = b + 28.\n5. Substitute b = n + 14 to u, which gives u = n + 42.\n6. Substitute n = 8 to u, which gives u = 50.\n\nThus, the final answer is u = \\boxed{50}.",
"index": 19007,
"question": "Suppose a collection of variables is related by the following definitions: y = t + 7; g = c + 15; x = g + 17; n = 8; i = m + 14; m = s + 5; j = n + 16; u = d + 1; d = i + 2; b = n + 14; s = b + 6; t = j + 18; c = y + 15. Given that n = 8, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"c": "j + 19", "v": "c + 2", "p": "v + 19", "e": "p + 13", "t": "e + 1", "o": "t + 2", "s": "j + 11", "q": "s + 17", "i": "q + 14", "x": "i + 20", "d": "x + 18", "a": "d + 11", "j": 14}, "premises": {"j": 14}, "target": "o"}, "answer": {"steps": [["t", "e + 1", "e + 3"], ["e", "p + 13", "p + 16"], ["p", "v + 19", "v + 35"], ["v", "c + 2", "c + 37"], ["c", "j + 19", "j + 56"], ["j", 14, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"j": 14}, "is_reverse": true}} | 19,008 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = s + 17; v = c + 2; p = v + 19; o = t + 2; x = i + 20; a = d + 11; s = j + 11; i = q + 14; d = x + 18; e = p + 13; j = 14; c = j + 19; t = e + 1. If j = 14, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 1 to o, which gives o = e + 3.\n2. Substitute e = p + 13 to o, which gives o = p + 16.\n3. Substitute p = v + 19 to o, which gives o = v + 35.\n4. Substitute v = c + 2 to o, which gives o = c + 37.\n5. Substitute c = j + 19 to o, which gives o = j + 56.\n6. Substitute j = 14 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 19008,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = s + 17; v = c + 2; p = v + 19; o = t + 2; x = i + 20; a = d + 11; s = j + 11; i = q + 14; d = x + 18; e = p + 13; j = 14; c = j + 19; t = e + 1. If j = 14, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"f": "u + 16", "j": "f + 10", "i": "j + 20", "g": "i + 6", "w": "g + 9", "b": "w + 5", "v": "u + 12", "h": "v + 5", "y": "h + 7", "d": "y + 5", "q": "d + 16", "m": "q + 18", "u": 1}, "premises": {"u": 1}, "target": "b"}, "answer": {"steps": [["w", "g + 9", "g + 14"], ["g", "i + 6", "i + 20"], ["i", "j + 20", "j + 40"], ["j", "f + 10", "f + 50"], ["f", "u + 16", "u + 66"], ["u", 1, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"u": 1}, "is_reverse": true}} | 19,009 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = w + 5; v = u + 12; h = v + 5; f = u + 16; j = f + 10; g = i + 6; u = 1; y = h + 7; d = y + 5; q = d + 16; m = q + 18; i = j + 20; w = g + 9. Given that u = 1, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 9 to b, which gives b = g + 14.\n2. Substitute g = i + 6 to b, which gives b = i + 20.\n3. Substitute i = j + 20 to b, which gives b = j + 40.\n4. Substitute j = f + 10 to b, which gives b = f + 50.\n5. Substitute f = u + 16 to b, which gives b = u + 66.\n6. Substitute u = 1 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 19009,
"question": "Suppose a collection of variables is related by the following definitions: b = w + 5; v = u + 12; h = v + 5; f = u + 16; j = f + 10; g = i + 6; u = 1; y = h + 7; d = y + 5; q = d + 16; m = q + 18; i = j + 20; w = g + 9. Given that u = 1, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"w": "r + 15", "z": "w + 5", "d": "z + 1", "o": "d + 18", "p": "o + 16", "m": "p + 11", "c": "r + 16", "f": "c + 16", "q": "f + 8", "n": "q + 15", "t": "n + 10", "h": "t + 17", "r": 7}, "premises": {"r": 7}, "target": "m"}, "answer": {"steps": [["p", "o + 16", "o + 27"], ["o", "d + 18", "d + 45"], ["d", "z + 1", "z + 46"], ["z", "w + 5", "w + 51"], ["w", "r + 15", "r + 66"], ["r", 7, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"r": 7}, "is_reverse": true}} | 19,010 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = d + 18; d = z + 1; n = q + 15; r = 7; c = r + 16; t = n + 10; h = t + 17; q = f + 8; z = w + 5; w = r + 15; p = o + 16; f = c + 16; m = p + 11. If r = 7, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 16 to m, which gives m = o + 27.\n2. Substitute o = d + 18 to m, which gives m = d + 45.\n3. Substitute d = z + 1 to m, which gives m = z + 46.\n4. Substitute z = w + 5 to m, which gives m = w + 51.\n5. Substitute w = r + 15 to m, which gives m = r + 66.\n6. Substitute r = 7 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 19010,
"question": "Consider a system of variables where each variable is defined as follows: o = d + 18; d = z + 1; n = q + 15; r = 7; c = r + 16; t = n + 10; h = t + 17; q = f + 8; z = w + 5; w = r + 15; p = o + 16; f = c + 16; m = p + 11. If r = 7, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 16", "k": "g + 4", "l": "k + 17", "j": "l + 18", "y": "j + 1", "v": "y + 10", "o": "h + 13", "r": "o + 15", "p": "r + 9", "x": "p + 20", "b": "x + 5", "e": "b + 18", "h": 7}, "premises": {"h": 7}, "target": "v"}, "answer": {"steps": [["y", "j + 1", "j + 11"], ["j", "l + 18", "l + 29"], ["l", "k + 17", "k + 46"], ["k", "g + 4", "g + 50"], ["g", "h + 16", "h + 66"], ["h", 7, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"h": 7}, "is_reverse": true}} | 19,011 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = y + 10; h = 7; b = x + 5; p = r + 9; g = h + 16; o = h + 13; l = k + 17; x = p + 20; k = g + 4; y = j + 1; j = l + 18; r = o + 15; e = b + 18. If h = 7, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 1 to v, which gives v = j + 11.\n2. Substitute j = l + 18 to v, which gives v = l + 29.\n3. Substitute l = k + 17 to v, which gives v = k + 46.\n4. Substitute k = g + 4 to v, which gives v = g + 50.\n5. Substitute g = h + 16 to v, which gives v = h + 66.\n6. Substitute h = 7 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 19011,
"question": "Consider a system of variables where each variable is defined as follows: v = y + 10; h = 7; b = x + 5; p = r + 9; g = h + 16; o = h + 13; l = k + 17; x = p + 20; k = g + 4; y = j + 1; j = l + 18; r = o + 15; e = b + 18. If h = 7, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 3", "e": "r + 8", "h": "e + 16", "b": "h + 7", "x": "b + 13", "w": "x + 9", "z": "p + 2", "t": "z + 6", "g": "t + 7", "m": "g + 17", "q": "m + 15", "l": "q + 15", "p": 6}, "premises": {"p": 6}, "target": "w"}, "answer": {"steps": [["x", "b + 13", "b + 22"], ["b", "h + 7", "h + 29"], ["h", "e + 16", "e + 45"], ["e", "r + 8", "r + 53"], ["r", "p + 3", "p + 56"], ["p", 6, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"p": 6}, "is_reverse": true}} | 19,012 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = e + 16; r = p + 3; x = b + 13; e = r + 8; l = q + 15; z = p + 2; t = z + 6; q = m + 15; g = t + 7; m = g + 17; p = 6; b = h + 7; w = x + 9. If p = 6, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 13 to w, which gives w = b + 22.\n2. Substitute b = h + 7 to w, which gives w = h + 29.\n3. Substitute h = e + 16 to w, which gives w = e + 45.\n4. Substitute e = r + 8 to w, which gives w = r + 53.\n5. Substitute r = p + 3 to w, which gives w = p + 56.\n6. Substitute p = 6 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 19012,
"question": "Consider a system of variables where each variable is defined as follows: h = e + 16; r = p + 3; x = b + 13; e = r + 8; l = q + 15; z = p + 2; t = z + 6; q = m + 15; g = t + 7; m = g + 17; p = 6; b = h + 7; w = x + 9. If p = 6, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 6", "z": "d + 20", "w": "z + 4", "f": "w + 4", "y": "f + 10", "e": "y + 18", "r": "j + 6", "n": "r + 6", "a": "n + 17", "l": "a + 14", "o": "l + 4", "h": "o + 13", "j": 19}, "premises": {"j": 19}, "target": "e"}, "answer": {"steps": [["y", "f + 10", "f + 28"], ["f", "w + 4", "w + 32"], ["w", "z + 4", "z + 36"], ["z", "d + 20", "d + 56"], ["d", "j + 6", "j + 62"], ["j", 19, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"j": 19}, "is_reverse": true}} | 19,013 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = l + 4; l = a + 14; d = j + 6; h = o + 13; z = d + 20; j = 19; a = n + 17; w = z + 4; y = f + 10; n = r + 6; f = w + 4; e = y + 18; r = j + 6. Given that j = 19, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 10 to e, which gives e = f + 28.\n2. Substitute f = w + 4 to e, which gives e = w + 32.\n3. Substitute w = z + 4 to e, which gives e = z + 36.\n4. Substitute z = d + 20 to e, which gives e = d + 56.\n5. Substitute d = j + 6 to e, which gives e = j + 62.\n6. Substitute j = 19 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 19013,
"question": "Suppose a collection of variables is related by the following definitions: o = l + 4; l = a + 14; d = j + 6; h = o + 13; z = d + 20; j = 19; a = n + 17; w = z + 4; y = f + 10; n = r + 6; f = w + 4; e = y + 18; r = j + 6. Given that j = 19, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 1", "s": "m + 14", "r": "s + 14", "e": "r + 16", "x": "e + 6", "l": "x + 3", "b": "k + 3", "w": "b + 1", "h": "w + 6", "d": "h + 6", "q": "d + 6", "g": "q + 4", "k": 19}, "premises": {"k": 19}, "target": "l"}, "answer": {"steps": [["x", "e + 6", "e + 9"], ["e", "r + 16", "r + 25"], ["r", "s + 14", "s + 39"], ["s", "m + 14", "m + 53"], ["m", "k + 1", "k + 54"], ["k", 19, "73"]], "target_var_name": "l", "target_value": 73, "value_dict": {"k": 19}, "is_reverse": true}} | 19,014 | 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 = m + 14; m = k + 1; l = x + 3; q = d + 6; d = h + 6; b = k + 3; x = e + 6; g = q + 4; k = 19; w = b + 1; e = r + 16; h = w + 6; r = s + 14. If k = 19, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 6 to l, which gives l = e + 9.\n2. Substitute e = r + 16 to l, which gives l = r + 25.\n3. Substitute r = s + 14 to l, which gives l = s + 39.\n4. Substitute s = m + 14 to l, which gives l = m + 53.\n5. Substitute m = k + 1 to l, which gives l = k + 54.\n6. Substitute k = 19 to l, which gives l = 73.\n\nThus, the final answer is l = \\boxed{73}.",
"index": 19014,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = m + 14; m = k + 1; l = x + 3; q = d + 6; d = h + 6; b = k + 3; x = e + 6; g = q + 4; k = 19; w = b + 1; e = r + 16; h = w + 6; r = s + 14. If k = 19, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 4", "d": "n + 19", "f": "d + 2", "b": "f + 8", "h": "b + 7", "t": "h + 8", "w": "y + 5", "k": "w + 16", "r": "k + 8", "l": "r + 12", "e": "l + 7", "s": "e + 20", "y": 17}, "premises": {"y": 17}, "target": "t"}, "answer": {"steps": [["h", "b + 7", "b + 15"], ["b", "f + 8", "f + 23"], ["f", "d + 2", "d + 25"], ["d", "n + 19", "n + 44"], ["n", "y + 4", "y + 48"], ["y", 17, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"y": 17}, "is_reverse": true}} | 19,015 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = b + 7; t = h + 8; d = n + 19; w = y + 5; r = k + 8; b = f + 8; y = 17; k = w + 16; f = d + 2; s = e + 20; e = l + 7; n = y + 4; l = r + 12. If y = 17, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 7 to t, which gives t = b + 15.\n2. Substitute b = f + 8 to t, which gives t = f + 23.\n3. Substitute f = d + 2 to t, which gives t = d + 25.\n4. Substitute d = n + 19 to t, which gives t = n + 44.\n5. Substitute n = y + 4 to t, which gives t = y + 48.\n6. Substitute y = 17 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 19015,
"question": "Consider a system of variables where each variable is defined as follows: h = b + 7; t = h + 8; d = n + 19; w = y + 5; r = k + 8; b = f + 8; y = 17; k = w + 16; f = d + 2; s = e + 20; e = l + 7; n = y + 4; l = r + 12. If y = 17, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 2", "c": "r + 9", "f": "c + 11", "y": "f + 7", "n": "y + 15", "b": "n + 4", "o": "z + 13", "h": "o + 16", "u": "h + 14", "g": "u + 13", "p": "g + 1", "q": "p + 16", "z": 1}, "premises": {"z": 1}, "target": "b"}, "answer": {"steps": [["n", "y + 15", "y + 19"], ["y", "f + 7", "f + 26"], ["f", "c + 11", "c + 37"], ["c", "r + 9", "r + 46"], ["r", "z + 2", "z + 48"], ["z", 1, "49"]], "target_var_name": "b", "target_value": 49, "value_dict": {"z": 1}, "is_reverse": true}} | 19,016 | 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 = g + 1; f = c + 11; g = u + 13; y = f + 7; r = z + 2; z = 1; q = p + 16; n = y + 15; o = z + 13; b = n + 4; c = r + 9; h = o + 16; u = h + 14. If z = 1, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 15 to b, which gives b = y + 19.\n2. Substitute y = f + 7 to b, which gives b = f + 26.\n3. Substitute f = c + 11 to b, which gives b = c + 37.\n4. Substitute c = r + 9 to b, which gives b = r + 46.\n5. Substitute r = z + 2 to b, which gives b = z + 48.\n6. Substitute z = 1 to b, which gives b = 49.\n\nThus, the final answer is b = \\boxed{49}.",
"index": 19016,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = g + 1; f = c + 11; g = u + 13; y = f + 7; r = z + 2; z = 1; q = p + 16; n = y + 15; o = z + 13; b = n + 4; c = r + 9; h = o + 16; u = h + 14. If z = 1, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 3", "o": "n + 5", "t": "o + 18", "s": "t + 6", "c": "s + 18", "q": "c + 7", "i": "d + 14", "j": "i + 20", "m": "j + 4", "l": "m + 14", "w": "l + 12", "r": "w + 15", "d": 5}, "premises": {"d": 5}, "target": "q"}, "answer": {"steps": [["c", "s + 18", "s + 25"], ["s", "t + 6", "t + 31"], ["t", "o + 18", "o + 49"], ["o", "n + 5", "n + 54"], ["n", "d + 3", "d + 57"], ["d", 5, "62"]], "target_var_name": "q", "target_value": 62, "value_dict": {"d": 5}, "is_reverse": true}} | 19,017 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = w + 15; w = l + 12; d = 5; j = i + 20; q = c + 7; m = j + 4; i = d + 14; o = n + 5; s = t + 6; l = m + 14; n = d + 3; c = s + 18; t = o + 18. Given that d = 5, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 18 to q, which gives q = s + 25.\n2. Substitute s = t + 6 to q, which gives q = t + 31.\n3. Substitute t = o + 18 to q, which gives q = o + 49.\n4. Substitute o = n + 5 to q, which gives q = n + 54.\n5. Substitute n = d + 3 to q, which gives q = d + 57.\n6. Substitute d = 5 to q, which gives q = 62.\n\nThus, the final answer is q = \\boxed{62}.",
"index": 19017,
"question": "Suppose a collection of variables is related by the following definitions: r = w + 15; w = l + 12; d = 5; j = i + 20; q = c + 7; m = j + 4; i = d + 14; o = n + 5; s = t + 6; l = m + 14; n = d + 3; c = s + 18; t = o + 18. Given that d = 5, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 5", "h": "m + 15", "t": "h + 7", "k": "t + 7", "a": "k + 13", "f": "a + 10", "i": "c + 14", "d": "i + 13", "x": "d + 19", "v": "x + 17", "b": "v + 16", "n": "b + 19", "c": 13}, "premises": {"c": 13}, "target": "f"}, "answer": {"steps": [["a", "k + 13", "k + 23"], ["k", "t + 7", "t + 30"], ["t", "h + 7", "h + 37"], ["h", "m + 15", "m + 52"], ["m", "c + 5", "c + 57"], ["c", 13, "70"]], "target_var_name": "f", "target_value": 70, "value_dict": {"c": 13}, "is_reverse": true}} | 19,018 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = d + 19; h = m + 15; b = v + 16; d = i + 13; v = x + 17; t = h + 7; k = t + 7; n = b + 19; c = 13; a = k + 13; m = c + 5; i = c + 14; f = a + 10. If c = 13, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 13 to f, which gives f = k + 23.\n2. Substitute k = t + 7 to f, which gives f = t + 30.\n3. Substitute t = h + 7 to f, which gives f = h + 37.\n4. Substitute h = m + 15 to f, which gives f = m + 52.\n5. Substitute m = c + 5 to f, which gives f = c + 57.\n6. Substitute c = 13 to f, which gives f = 70.\n\nThus, the final answer is f = \\boxed{70}.",
"index": 19018,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = d + 19; h = m + 15; b = v + 16; d = i + 13; v = x + 17; t = h + 7; k = t + 7; n = b + 19; c = 13; a = k + 13; m = c + 5; i = c + 14; f = a + 10. If c = 13, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 9", "q": "c + 3", "o": "q + 8", "u": "o + 6", "e": "u + 2", "h": "e + 20", "p": "x + 8", "v": "p + 16", "r": "v + 1", "i": "r + 10", "k": "i + 9", "w": "k + 8", "x": 17}, "premises": {"x": 17}, "target": "h"}, "answer": {"steps": [["e", "u + 2", "u + 22"], ["u", "o + 6", "o + 28"], ["o", "q + 8", "q + 36"], ["q", "c + 3", "c + 39"], ["c", "x + 9", "x + 48"], ["x", 17, "65"]], "target_var_name": "h", "target_value": 65, "value_dict": {"x": 17}, "is_reverse": true}} | 19,019 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = 17; c = x + 9; q = c + 3; i = r + 10; h = e + 20; k = i + 9; w = k + 8; p = x + 8; e = u + 2; o = q + 8; r = v + 1; v = p + 16; u = o + 6. If x = 17, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 2 to h, which gives h = u + 22.\n2. Substitute u = o + 6 to h, which gives h = o + 28.\n3. Substitute o = q + 8 to h, which gives h = q + 36.\n4. Substitute q = c + 3 to h, which gives h = c + 39.\n5. Substitute c = x + 9 to h, which gives h = x + 48.\n6. Substitute x = 17 to h, which gives h = 65.\n\nThus, the final answer is h = \\boxed{65}.",
"index": 19019,
"question": "Consider a system of variables where each variable is defined as follows: x = 17; c = x + 9; q = c + 3; i = r + 10; h = e + 20; k = i + 9; w = k + 8; p = x + 8; e = u + 2; o = q + 8; r = v + 1; v = p + 16; u = o + 6. If x = 17, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 6", "b": "x + 20", "h": "b + 15", "p": "h + 18", "z": "p + 10", "e": "z + 19", "k": "n + 19", "q": "k + 6", "a": "q + 12", "v": "a + 18", "j": "v + 10", "r": "j + 5", "n": 19}, "premises": {"n": 19}, "target": "e"}, "answer": {"steps": [["z", "p + 10", "p + 29"], ["p", "h + 18", "h + 47"], ["h", "b + 15", "b + 62"], ["b", "x + 20", "x + 82"], ["x", "n + 6", "n + 88"], ["n", 19, "107"]], "target_var_name": "e", "target_value": 107, "value_dict": {"n": 19}, "is_reverse": true}} | 19,020 | 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 = b + 15; e = z + 19; b = x + 20; r = j + 5; q = k + 6; v = a + 18; n = 19; a = q + 12; j = v + 10; z = p + 10; x = n + 6; k = n + 19; p = h + 18. If n = 19, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 10 to e, which gives e = p + 29.\n2. Substitute p = h + 18 to e, which gives e = h + 47.\n3. Substitute h = b + 15 to e, which gives e = b + 62.\n4. Substitute b = x + 20 to e, which gives e = x + 82.\n5. Substitute x = n + 6 to e, which gives e = n + 88.\n6. Substitute n = 19 to e, which gives e = 107.\n\nThus, the final answer is e = \\boxed{107}.",
"index": 19020,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = b + 15; e = z + 19; b = x + 20; r = j + 5; q = k + 6; v = a + 18; n = 19; a = q + 12; j = v + 10; z = p + 10; x = n + 6; k = n + 19; p = h + 18. If n = 19, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 8", "m": "o + 10", "x": "m + 18", "d": "x + 3", "s": "d + 12", "f": "s + 15", "w": "l + 6", "h": "w + 9", "q": "h + 1", "a": "q + 5", "r": "a + 15", "v": "r + 10", "l": 3}, "premises": {"l": 3}, "target": "f"}, "answer": {"steps": [["s", "d + 12", "d + 27"], ["d", "x + 3", "x + 30"], ["x", "m + 18", "m + 48"], ["m", "o + 10", "o + 58"], ["o", "l + 8", "l + 66"], ["l", 3, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"l": 3}, "is_reverse": true}} | 19,021 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = m + 18; d = x + 3; l = 3; w = l + 6; f = s + 15; q = h + 1; h = w + 9; v = r + 10; a = q + 5; s = d + 12; o = l + 8; m = o + 10; r = a + 15. If l = 3, what is the resulting 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 s = d + 12 to f, which gives f = d + 27.\n2. Substitute d = x + 3 to f, which gives f = x + 30.\n3. Substitute x = m + 18 to f, which gives f = m + 48.\n4. Substitute m = o + 10 to f, which gives f = o + 58.\n5. Substitute o = l + 8 to f, which gives f = l + 66.\n6. Substitute l = 3 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 19021,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = m + 18; d = x + 3; l = 3; w = l + 6; f = s + 15; q = h + 1; h = w + 9; v = r + 10; a = q + 5; s = d + 12; o = l + 8; m = o + 10; r = a + 15. If l = 3, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 17", "c": "d + 7", "o": "c + 18", "x": "o + 19", "i": "x + 2", "t": "i + 3", "l": "y + 6", "q": "l + 2", "g": "q + 8", "s": "g + 5", "j": "s + 3", "v": "j + 20", "y": 1}, "premises": {"y": 1}, "target": "t"}, "answer": {"steps": [["i", "x + 2", "x + 5"], ["x", "o + 19", "o + 24"], ["o", "c + 18", "c + 42"], ["c", "d + 7", "d + 49"], ["d", "y + 17", "y + 66"], ["y", 1, "67"]], "target_var_name": "t", "target_value": 67, "value_dict": {"y": 1}, "is_reverse": true}} | 19,022 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = y + 6; c = d + 7; y = 1; q = l + 2; s = g + 5; t = i + 3; g = q + 8; v = j + 20; i = x + 2; j = s + 3; x = o + 19; d = y + 17; o = c + 18. Given that y = 1, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 2 to t, which gives t = x + 5.\n2. Substitute x = o + 19 to t, which gives t = o + 24.\n3. Substitute o = c + 18 to t, which gives t = c + 42.\n4. Substitute c = d + 7 to t, which gives t = d + 49.\n5. Substitute d = y + 17 to t, which gives t = y + 66.\n6. Substitute y = 1 to t, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 19022,
"question": "Suppose a collection of variables is related by the following definitions: l = y + 6; c = d + 7; y = 1; q = l + 2; s = g + 5; t = i + 3; g = q + 8; v = j + 20; i = x + 2; j = s + 3; x = o + 19; d = y + 17; o = c + 18. Given that y = 1, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 20", "x": "a + 8", "h": "x + 2", "c": "h + 20", "w": "c + 17", "m": "w + 5", "s": "r + 17", "j": "s + 1", "f": "j + 13", "k": "f + 20", "n": "k + 3", "y": "n + 15", "r": 20}, "premises": {"r": 20}, "target": "m"}, "answer": {"steps": [["w", "c + 17", "c + 22"], ["c", "h + 20", "h + 42"], ["h", "x + 2", "x + 44"], ["x", "a + 8", "a + 52"], ["a", "r + 20", "r + 72"], ["r", 20, "92"]], "target_var_name": "m", "target_value": 92, "value_dict": {"r": 20}, "is_reverse": true}} | 19,023 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = h + 20; x = a + 8; n = k + 3; s = r + 17; k = f + 20; w = c + 17; f = j + 13; j = s + 1; y = n + 15; m = w + 5; r = 20; h = x + 2; a = r + 20. If r = 20, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 17 to m, which gives m = c + 22.\n2. Substitute c = h + 20 to m, which gives m = h + 42.\n3. Substitute h = x + 2 to m, which gives m = x + 44.\n4. Substitute x = a + 8 to m, which gives m = a + 52.\n5. Substitute a = r + 20 to m, which gives m = r + 72.\n6. Substitute r = 20 to m, which gives m = 92.\n\nThus, the final answer is m = \\boxed{92}.",
"index": 19023,
"question": "Consider a system of variables where each variable is defined as follows: c = h + 20; x = a + 8; n = k + 3; s = r + 17; k = f + 20; w = c + 17; f = j + 13; j = s + 1; y = n + 15; m = w + 5; r = 20; h = x + 2; a = r + 20. If r = 20, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 4", "i": "x + 6", "d": "i + 10", "l": "d + 16", "t": "l + 4", "f": "t + 20", "s": "v + 13", "a": "s + 12", "n": "a + 9", "p": "n + 20", "g": "p + 16", "y": "g + 12", "v": 2}, "premises": {"v": 2}, "target": "f"}, "answer": {"steps": [["t", "l + 4", "l + 24"], ["l", "d + 16", "d + 40"], ["d", "i + 10", "i + 50"], ["i", "x + 6", "x + 56"], ["x", "v + 4", "v + 60"], ["v", 2, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"v": 2}, "is_reverse": true}} | 19,024 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = v + 4; i = x + 6; p = n + 20; v = 2; g = p + 16; a = s + 12; d = i + 10; y = g + 12; n = a + 9; s = v + 13; t = l + 4; f = t + 20; l = d + 16. If v = 2, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 4 to f, which gives f = l + 24.\n2. Substitute l = d + 16 to f, which gives f = d + 40.\n3. Substitute d = i + 10 to f, which gives f = i + 50.\n4. Substitute i = x + 6 to f, which gives f = x + 56.\n5. Substitute x = v + 4 to f, which gives f = v + 60.\n6. Substitute v = 2 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 19024,
"question": "Consider a system of variables where each variable is defined as follows: x = v + 4; i = x + 6; p = n + 20; v = 2; g = p + 16; a = s + 12; d = i + 10; y = g + 12; n = a + 9; s = v + 13; t = l + 4; f = t + 20; l = d + 16. If v = 2, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 14", "l": "n + 6", "x": "l + 8", "j": "x + 20", "h": "j + 19", "d": "h + 9", "a": "t + 10", "e": "a + 19", "u": "e + 9", "z": "u + 12", "y": "z + 2", "b": "y + 18", "t": 14}, "premises": {"t": 14}, "target": "d"}, "answer": {"steps": [["h", "j + 19", "j + 28"], ["j", "x + 20", "x + 48"], ["x", "l + 8", "l + 56"], ["l", "n + 6", "n + 62"], ["n", "t + 14", "t + 76"], ["t", 14, "90"]], "target_var_name": "d", "target_value": 90, "value_dict": {"t": 14}, "is_reverse": true}} | 19,025 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = a + 19; y = z + 2; x = l + 8; j = x + 20; n = t + 14; u = e + 9; t = 14; a = t + 10; h = j + 19; l = n + 6; z = u + 12; b = y + 18; d = h + 9. Given that t = 14, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 19 to d, which gives d = j + 28.\n2. Substitute j = x + 20 to d, which gives d = x + 48.\n3. Substitute x = l + 8 to d, which gives d = l + 56.\n4. Substitute l = n + 6 to d, which gives d = n + 62.\n5. Substitute n = t + 14 to d, which gives d = t + 76.\n6. Substitute t = 14 to d, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 19025,
"question": "Suppose a collection of variables is related by the following definitions: e = a + 19; y = z + 2; x = l + 8; j = x + 20; n = t + 14; u = e + 9; t = 14; a = t + 10; h = j + 19; l = n + 6; z = u + 12; b = y + 18; d = h + 9. Given that t = 14, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 10", "i": "y + 5", "t": "i + 6", "o": "t + 3", "c": "o + 6", "z": "c + 14", "m": "k + 15", "a": "m + 2", "w": "a + 7", "h": "w + 1", "x": "h + 3", "l": "x + 11", "k": 2}, "premises": {"k": 2}, "target": "z"}, "answer": {"steps": [["c", "o + 6", "o + 20"], ["o", "t + 3", "t + 23"], ["t", "i + 6", "i + 29"], ["i", "y + 5", "y + 34"], ["y", "k + 10", "k + 44"], ["k", 2, "46"]], "target_var_name": "z", "target_value": 46, "value_dict": {"k": 2}, "is_reverse": true}} | 19,026 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 15; a = m + 2; l = x + 11; c = o + 6; y = k + 10; z = c + 14; w = a + 7; h = w + 1; t = i + 6; o = t + 3; k = 2; i = y + 5; x = h + 3. If k = 2, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 6 to z, which gives z = o + 20.\n2. Substitute o = t + 3 to z, which gives z = t + 23.\n3. Substitute t = i + 6 to z, which gives z = i + 29.\n4. Substitute i = y + 5 to z, which gives z = y + 34.\n5. Substitute y = k + 10 to z, which gives z = k + 44.\n6. Substitute k = 2 to z, which gives z = 46.\n\nThus, the final answer is z = \\boxed{46}.",
"index": 19026,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 15; a = m + 2; l = x + 11; c = o + 6; y = k + 10; z = c + 14; w = a + 7; h = w + 1; t = i + 6; o = t + 3; k = 2; i = y + 5; x = h + 3. If k = 2, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"t": "h + 7", "f": "t + 2", "m": "f + 6", "l": "m + 18", "q": "l + 3", "i": "q + 9", "y": "h + 9", "e": "y + 4", "w": "e + 14", "n": "w + 12", "z": "n + 6", "r": "z + 5", "h": 13}, "premises": {"h": 13}, "target": "i"}, "answer": {"steps": [["q", "l + 3", "l + 12"], ["l", "m + 18", "m + 30"], ["m", "f + 6", "f + 36"], ["f", "t + 2", "t + 38"], ["t", "h + 7", "h + 45"], ["h", 13, "58"]], "target_var_name": "i", "target_value": 58, "value_dict": {"h": 13}, "is_reverse": true}} | 19,027 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = m + 18; i = q + 9; h = 13; f = t + 2; m = f + 6; n = w + 12; z = n + 6; t = h + 7; w = e + 14; q = l + 3; r = z + 5; y = h + 9; e = y + 4. Given that h = 13, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 3 to i, which gives i = l + 12.\n2. Substitute l = m + 18 to i, which gives i = m + 30.\n3. Substitute m = f + 6 to i, which gives i = f + 36.\n4. Substitute f = t + 2 to i, which gives i = t + 38.\n5. Substitute t = h + 7 to i, which gives i = h + 45.\n6. Substitute h = 13 to i, which gives i = 58.\n\nThus, the final answer is i = \\boxed{58}.",
"index": 19027,
"question": "Suppose a collection of variables is related by the following definitions: l = m + 18; i = q + 9; h = 13; f = t + 2; m = f + 6; n = w + 12; z = n + 6; t = h + 7; w = e + 14; q = l + 3; r = z + 5; y = h + 9; e = y + 4. Given that h = 13, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 6", "h": "y + 4", "g": "h + 5", "x": "g + 12", "a": "x + 13", "l": "a + 20", "z": "m + 15", "o": "z + 14", "j": "o + 4", "v": "j + 5", "k": "v + 10", "b": "k + 6", "m": 12}, "premises": {"m": 12}, "target": "l"}, "answer": {"steps": [["a", "x + 13", "x + 33"], ["x", "g + 12", "g + 45"], ["g", "h + 5", "h + 50"], ["h", "y + 4", "y + 54"], ["y", "m + 6", "m + 60"], ["m", 12, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"m": 12}, "is_reverse": true}} | 19,028 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = j + 5; o = z + 14; z = m + 15; k = v + 10; h = y + 4; m = 12; j = o + 4; b = k + 6; g = h + 5; l = a + 20; a = x + 13; y = m + 6; x = g + 12. Given that m = 12, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 13 to l, which gives l = x + 33.\n2. Substitute x = g + 12 to l, which gives l = g + 45.\n3. Substitute g = h + 5 to l, which gives l = h + 50.\n4. Substitute h = y + 4 to l, which gives l = y + 54.\n5. Substitute y = m + 6 to l, which gives l = m + 60.\n6. Substitute m = 12 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 19028,
"question": "Suppose a collection of variables is related by the following definitions: v = j + 5; o = z + 14; z = m + 15; k = v + 10; h = y + 4; m = 12; j = o + 4; b = k + 6; g = h + 5; l = a + 20; a = x + 13; y = m + 6; x = g + 12. Given that m = 12, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 4", "y": "u + 12", "e": "y + 4", "a": "e + 20", "t": "a + 17", "x": "t + 11", "p": "m + 4", "v": "p + 7", "f": "v + 18", "c": "f + 20", "z": "c + 6", "b": "z + 10", "m": 11}, "premises": {"m": 11}, "target": "x"}, "answer": {"steps": [["t", "a + 17", "a + 28"], ["a", "e + 20", "e + 48"], ["e", "y + 4", "y + 52"], ["y", "u + 12", "u + 64"], ["u", "m + 4", "m + 68"], ["m", 11, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"m": 11}, "is_reverse": true}} | 19,029 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = y + 4; b = z + 10; p = m + 4; x = t + 11; u = m + 4; a = e + 20; v = p + 7; m = 11; z = c + 6; c = f + 20; t = a + 17; f = v + 18; y = u + 12. Given that m = 11, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 17 to x, which gives x = a + 28.\n2. Substitute a = e + 20 to x, which gives x = e + 48.\n3. Substitute e = y + 4 to x, which gives x = y + 52.\n4. Substitute y = u + 12 to x, which gives x = u + 64.\n5. Substitute u = m + 4 to x, which gives x = m + 68.\n6. Substitute m = 11 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 19029,
"question": "Suppose a collection of variables is related by the following definitions: e = y + 4; b = z + 10; p = m + 4; x = t + 11; u = m + 4; a = e + 20; v = p + 7; m = 11; z = c + 6; c = f + 20; t = a + 17; f = v + 18; y = u + 12. Given that m = 11, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 13", "k": "b + 20", "s": "k + 16", "w": "s + 14", "t": "w + 18", "r": "t + 12", "h": "o + 1", "p": "h + 19", "a": "p + 15", "v": "a + 17", "l": "v + 8", "z": "l + 12", "o": 18}, "premises": {"o": 18}, "target": "r"}, "answer": {"steps": [["t", "w + 18", "w + 30"], ["w", "s + 14", "s + 44"], ["s", "k + 16", "k + 60"], ["k", "b + 20", "b + 80"], ["b", "o + 13", "o + 93"], ["o", 18, "111"]], "target_var_name": "r", "target_value": 111, "value_dict": {"o": 18}, "is_reverse": true}} | 19,030 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = p + 15; b = o + 13; p = h + 19; k = b + 20; r = t + 12; o = 18; z = l + 12; s = k + 16; l = v + 8; h = o + 1; t = w + 18; w = s + 14; v = a + 17. If o = 18, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 111,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 18 to r, which gives r = w + 30.\n2. Substitute w = s + 14 to r, which gives r = s + 44.\n3. Substitute s = k + 16 to r, which gives r = k + 60.\n4. Substitute k = b + 20 to r, which gives r = b + 80.\n5. Substitute b = o + 13 to r, which gives r = o + 93.\n6. Substitute o = 18 to r, which gives r = 111.\n\nThus, the final answer is r = \\boxed{111}.",
"index": 19030,
"question": "Consider a system of variables where each variable is defined as follows: a = p + 15; b = o + 13; p = h + 19; k = b + 20; r = t + 12; o = 18; z = l + 12; s = k + 16; l = v + 8; h = o + 1; t = w + 18; w = s + 14; v = a + 17. If o = 18, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 11", "x": "d + 20", "b": "x + 20", "m": "b + 4", "a": "m + 4", "l": "a + 2", "g": "p + 12", "h": "g + 1", "f": "h + 16", "s": "f + 8", "k": "s + 13", "u": "k + 18", "p": 9}, "premises": {"p": 9}, "target": "l"}, "answer": {"steps": [["a", "m + 4", "m + 6"], ["m", "b + 4", "b + 10"], ["b", "x + 20", "x + 30"], ["x", "d + 20", "d + 50"], ["d", "p + 11", "p + 61"], ["p", 9, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"p": 9}, "is_reverse": true}} | 19,031 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = a + 2; d = p + 11; p = 9; a = m + 4; k = s + 13; u = k + 18; b = x + 20; x = d + 20; s = f + 8; h = g + 1; g = p + 12; m = b + 4; f = h + 16. If p = 9, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 4 to l, which gives l = m + 6.\n2. Substitute m = b + 4 to l, which gives l = b + 10.\n3. Substitute b = x + 20 to l, which gives l = x + 30.\n4. Substitute x = d + 20 to l, which gives l = d + 50.\n5. Substitute d = p + 11 to l, which gives l = p + 61.\n6. Substitute p = 9 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 19031,
"question": "Consider a system of variables where each variable is defined as follows: l = a + 2; d = p + 11; p = 9; a = m + 4; k = s + 13; u = k + 18; b = x + 20; x = d + 20; s = f + 8; h = g + 1; g = p + 12; m = b + 4; f = h + 16. If p = 9, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"t": "s + 17", "r": "t + 4", "m": "r + 10", "k": "m + 5", "o": "k + 9", "q": "o + 16", "h": "s + 12", "p": "h + 11", "a": "p + 10", "j": "a + 6", "l": "j + 9", "x": "l + 2", "s": 4}, "premises": {"s": 4}, "target": "q"}, "answer": {"steps": [["o", "k + 9", "k + 25"], ["k", "m + 5", "m + 30"], ["m", "r + 10", "r + 40"], ["r", "t + 4", "t + 44"], ["t", "s + 17", "s + 61"], ["s", 4, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"s": 4}, "is_reverse": true}} | 19,032 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = m + 5; q = o + 16; x = l + 2; m = r + 10; p = h + 11; o = k + 9; j = a + 6; r = t + 4; t = s + 17; l = j + 9; a = p + 10; h = s + 12; s = 4. If s = 4, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 9 to q, which gives q = k + 25.\n2. Substitute k = m + 5 to q, which gives q = m + 30.\n3. Substitute m = r + 10 to q, which gives q = r + 40.\n4. Substitute r = t + 4 to q, which gives q = t + 44.\n5. Substitute t = s + 17 to q, which gives q = s + 61.\n6. Substitute s = 4 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 19032,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = m + 5; q = o + 16; x = l + 2; m = r + 10; p = h + 11; o = k + 9; j = a + 6; r = t + 4; t = s + 17; l = j + 9; a = p + 10; h = s + 12; s = 4. If s = 4, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 11", "e": "x + 11", "s": "e + 6", "h": "s + 19", "w": "h + 9", "q": "w + 16", "r": "t + 19", "y": "r + 5", "m": "y + 7", "v": "m + 5", "n": "v + 8", "a": "n + 7", "t": 15}, "premises": {"t": 15}, "target": "q"}, "answer": {"steps": [["w", "h + 9", "h + 25"], ["h", "s + 19", "s + 44"], ["s", "e + 6", "e + 50"], ["e", "x + 11", "x + 61"], ["x", "t + 11", "t + 72"], ["t", 15, "87"]], "target_var_name": "q", "target_value": 87, "value_dict": {"t": 15}, "is_reverse": true}} | 19,033 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 7; y = r + 5; e = x + 11; w = h + 9; t = 15; s = e + 6; q = w + 16; h = s + 19; m = y + 7; n = v + 8; x = t + 11; v = m + 5; r = t + 19. If t = 15, 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 w = h + 9 to q, which gives q = h + 25.\n2. Substitute h = s + 19 to q, which gives q = s + 44.\n3. Substitute s = e + 6 to q, which gives q = e + 50.\n4. Substitute e = x + 11 to q, which gives q = x + 61.\n5. Substitute x = t + 11 to q, which gives q = t + 72.\n6. Substitute t = 15 to q, which gives q = 87.\n\nThus, the final answer is q = \\boxed{87}.",
"index": 19033,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 7; y = r + 5; e = x + 11; w = h + 9; t = 15; s = e + 6; q = w + 16; h = s + 19; m = y + 7; n = v + 8; x = t + 11; v = m + 5; r = t + 19. If t = 15, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 17", "l": "w + 14", "y": "l + 12", "j": "y + 13", "k": "j + 20", "e": "k + 18", "t": "p + 20", "h": "t + 5", "o": "h + 5", "x": "o + 17", "q": "x + 5", "a": "q + 3", "p": 7}, "premises": {"p": 7}, "target": "e"}, "answer": {"steps": [["k", "j + 20", "j + 38"], ["j", "y + 13", "y + 51"], ["y", "l + 12", "l + 63"], ["l", "w + 14", "w + 77"], ["w", "p + 17", "p + 94"], ["p", 7, "101"]], "target_var_name": "e", "target_value": 101, "value_dict": {"p": 7}, "is_reverse": true}} | 19,034 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = t + 5; l = w + 14; w = p + 17; p = 7; k = j + 20; t = p + 20; x = o + 17; o = h + 5; e = k + 18; j = y + 13; a = q + 3; q = x + 5; y = l + 12. Given that p = 7, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 20 to e, which gives e = j + 38.\n2. Substitute j = y + 13 to e, which gives e = y + 51.\n3. Substitute y = l + 12 to e, which gives e = l + 63.\n4. Substitute l = w + 14 to e, which gives e = w + 77.\n5. Substitute w = p + 17 to e, which gives e = p + 94.\n6. Substitute p = 7 to e, which gives e = 101.\n\nThus, the final answer is e = \\boxed{101}.",
"index": 19034,
"question": "Suppose a collection of variables is related by the following definitions: h = t + 5; l = w + 14; w = p + 17; p = 7; k = j + 20; t = p + 20; x = o + 17; o = h + 5; e = k + 18; j = y + 13; a = q + 3; q = x + 5; y = l + 12. Given that p = 7, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 8", "c": "p + 8", "j": "c + 2", "v": "j + 11", "r": "v + 17", "w": "r + 4", "n": "o + 18", "u": "n + 13", "z": "u + 10", "k": "z + 11", "d": "k + 6", "i": "d + 2", "o": 16}, "premises": {"o": 16}, "target": "w"}, "answer": {"steps": [["r", "v + 17", "v + 21"], ["v", "j + 11", "j + 32"], ["j", "c + 2", "c + 34"], ["c", "p + 8", "p + 42"], ["p", "o + 8", "o + 50"], ["o", 16, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"o": 16}, "is_reverse": true}} | 19,035 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = u + 10; v = j + 11; r = v + 17; i = d + 2; p = o + 8; o = 16; w = r + 4; j = c + 2; d = k + 6; c = p + 8; k = z + 11; u = n + 13; n = o + 18. Given that o = 16, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 17 to w, which gives w = v + 21.\n2. Substitute v = j + 11 to w, which gives w = j + 32.\n3. Substitute j = c + 2 to w, which gives w = c + 34.\n4. Substitute c = p + 8 to w, which gives w = p + 42.\n5. Substitute p = o + 8 to w, which gives w = o + 50.\n6. Substitute o = 16 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 19035,
"question": "Suppose a collection of variables is related by the following definitions: z = u + 10; v = j + 11; r = v + 17; i = d + 2; p = o + 8; o = 16; w = r + 4; j = c + 2; d = k + 6; c = p + 8; k = z + 11; u = n + 13; n = o + 18. Given that o = 16, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 2", "s": "m + 15", "h": "s + 6", "v": "h + 11", "g": "v + 12", "l": "g + 15", "x": "c + 15", "f": "x + 14", "z": "f + 13", "y": "z + 3", "a": "y + 6", "t": "a + 17", "c": 17}, "premises": {"c": 17}, "target": "l"}, "answer": {"steps": [["g", "v + 12", "v + 27"], ["v", "h + 11", "h + 38"], ["h", "s + 6", "s + 44"], ["s", "m + 15", "m + 59"], ["m", "c + 2", "c + 61"], ["c", 17, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"c": 17}, "is_reverse": true}} | 19,036 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = m + 15; m = c + 2; z = f + 13; t = a + 17; c = 17; x = c + 15; f = x + 14; y = z + 3; h = s + 6; l = g + 15; g = v + 12; a = y + 6; v = h + 11. If c = 17, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 12 to l, which gives l = v + 27.\n2. Substitute v = h + 11 to l, which gives l = h + 38.\n3. Substitute h = s + 6 to l, which gives l = s + 44.\n4. Substitute s = m + 15 to l, which gives l = m + 59.\n5. Substitute m = c + 2 to l, which gives l = c + 61.\n6. Substitute c = 17 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 19036,
"question": "Consider a system of variables where each variable is defined as follows: s = m + 15; m = c + 2; z = f + 13; t = a + 17; c = 17; x = c + 15; f = x + 14; y = z + 3; h = s + 6; l = g + 15; g = v + 12; a = y + 6; v = h + 11. If c = 17, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 9", "t": "g + 10", "k": "t + 12", "f": "k + 11", "b": "f + 20", "a": "b + 6", "q": "o + 15", "p": "q + 4", "z": "p + 1", "x": "z + 15", "s": "x + 16", "r": "s + 3", "o": 11}, "premises": {"o": 11}, "target": "a"}, "answer": {"steps": [["b", "f + 20", "f + 26"], ["f", "k + 11", "k + 37"], ["k", "t + 12", "t + 49"], ["t", "g + 10", "g + 59"], ["g", "o + 9", "o + 68"], ["o", 11, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"o": 11}, "is_reverse": true}} | 19,037 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = p + 1; t = g + 10; r = s + 3; b = f + 20; g = o + 9; f = k + 11; q = o + 15; k = t + 12; o = 11; p = q + 4; s = x + 16; a = b + 6; x = z + 15. If o = 11, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 20 to a, which gives a = f + 26.\n2. Substitute f = k + 11 to a, which gives a = k + 37.\n3. Substitute k = t + 12 to a, which gives a = t + 49.\n4. Substitute t = g + 10 to a, which gives a = g + 59.\n5. Substitute g = o + 9 to a, which gives a = o + 68.\n6. Substitute o = 11 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 19037,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = p + 1; t = g + 10; r = s + 3; b = f + 20; g = o + 9; f = k + 11; q = o + 15; k = t + 12; o = 11; p = q + 4; s = x + 16; a = b + 6; x = z + 15. If o = 11, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 18", "q": "c + 16", "y": "q + 3", "e": "y + 20", "f": "e + 10", "i": "f + 13", "h": "w + 2", "k": "h + 3", "o": "k + 16", "r": "o + 19", "a": "r + 2", "s": "a + 6", "w": 8}, "premises": {"w": 8}, "target": "i"}, "answer": {"steps": [["f", "e + 10", "e + 23"], ["e", "y + 20", "y + 43"], ["y", "q + 3", "q + 46"], ["q", "c + 16", "c + 62"], ["c", "w + 18", "w + 80"], ["w", 8, "88"]], "target_var_name": "i", "target_value": 88, "value_dict": {"w": 8}, "is_reverse": true}} | 19,038 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = c + 16; i = f + 13; s = a + 6; r = o + 19; w = 8; c = w + 18; f = e + 10; k = h + 3; y = q + 3; o = k + 16; a = r + 2; e = y + 20; h = w + 2. If w = 8, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 10 to i, which gives i = e + 23.\n2. Substitute e = y + 20 to i, which gives i = y + 43.\n3. Substitute y = q + 3 to i, which gives i = q + 46.\n4. Substitute q = c + 16 to i, which gives i = c + 62.\n5. Substitute c = w + 18 to i, which gives i = w + 80.\n6. Substitute w = 8 to i, which gives i = 88.\n\nThus, the final answer is i = \\boxed{88}.",
"index": 19038,
"question": "Consider a system of variables where each variable is defined as follows: q = c + 16; i = f + 13; s = a + 6; r = o + 19; w = 8; c = w + 18; f = e + 10; k = h + 3; y = q + 3; o = k + 16; a = r + 2; e = y + 20; h = w + 2. If w = 8, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 3", "w": "u + 16", "c": "w + 14", "s": "c + 1", "h": "s + 2", "e": "h + 8", "t": "j + 2", "z": "t + 5", "l": "z + 2", "b": "l + 8", "n": "b + 4", "q": "n + 14", "j": 7}, "premises": {"j": 7}, "target": "e"}, "answer": {"steps": [["h", "s + 2", "s + 10"], ["s", "c + 1", "c + 11"], ["c", "w + 14", "w + 25"], ["w", "u + 16", "u + 41"], ["u", "j + 3", "j + 44"], ["j", 7, "51"]], "target_var_name": "e", "target_value": 51, "value_dict": {"j": 7}, "is_reverse": true}} | 19,039 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = j + 3; b = l + 8; e = h + 8; c = w + 14; z = t + 5; s = c + 1; n = b + 4; t = j + 2; j = 7; l = z + 2; w = u + 16; q = n + 14; h = s + 2. If j = 7, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 2 to e, which gives e = s + 10.\n2. Substitute s = c + 1 to e, which gives e = c + 11.\n3. Substitute c = w + 14 to e, which gives e = w + 25.\n4. Substitute w = u + 16 to e, which gives e = u + 41.\n5. Substitute u = j + 3 to e, which gives e = j + 44.\n6. Substitute j = 7 to e, which gives e = 51.\n\nThus, the final answer is e = \\boxed{51}.",
"index": 19039,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = j + 3; b = l + 8; e = h + 8; c = w + 14; z = t + 5; s = c + 1; n = b + 4; t = j + 2; j = 7; l = z + 2; w = u + 16; q = n + 14; h = s + 2. If j = 7, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 20", "f": "a + 20", "i": "f + 3", "q": "i + 17", "r": "q + 8", "x": "r + 16", "w": "k + 20", "l": "w + 16", "e": "l + 12", "p": "e + 4", "b": "p + 17", "m": "b + 18", "k": 1}, "premises": {"k": 1}, "target": "x"}, "answer": {"steps": [["r", "q + 8", "q + 24"], ["q", "i + 17", "i + 41"], ["i", "f + 3", "f + 44"], ["f", "a + 20", "a + 64"], ["a", "k + 20", "k + 84"], ["k", 1, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"k": 1}, "is_reverse": true}} | 19,040 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = f + 3; x = r + 16; q = i + 17; b = p + 17; w = k + 20; l = w + 16; p = e + 4; r = q + 8; e = l + 12; k = 1; f = a + 20; m = b + 18; a = k + 20. If k = 1, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 8 to x, which gives x = q + 24.\n2. Substitute q = i + 17 to x, which gives x = i + 41.\n3. Substitute i = f + 3 to x, which gives x = f + 44.\n4. Substitute f = a + 20 to x, which gives x = a + 64.\n5. Substitute a = k + 20 to x, which gives x = k + 84.\n6. Substitute k = 1 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 19040,
"question": "Consider a system of variables where each variable is defined as follows: i = f + 3; x = r + 16; q = i + 17; b = p + 17; w = k + 20; l = w + 16; p = e + 4; r = q + 8; e = l + 12; k = 1; f = a + 20; m = b + 18; a = k + 20. If k = 1, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 9", "r": "c + 3", "h": "r + 20", "p": "h + 17", "i": "p + 3", "v": "i + 17", "j": "t + 1", "f": "j + 7", "a": "f + 1", "n": "a + 20", "k": "n + 6", "w": "k + 16", "t": 20}, "premises": {"t": 20}, "target": "v"}, "answer": {"steps": [["i", "p + 3", "p + 20"], ["p", "h + 17", "h + 37"], ["h", "r + 20", "r + 57"], ["r", "c + 3", "c + 60"], ["c", "t + 9", "t + 69"], ["t", 20, "89"]], "target_var_name": "v", "target_value": 89, "value_dict": {"t": 20}, "is_reverse": true}} | 19,041 | 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 = t + 1; a = f + 1; h = r + 20; f = j + 7; n = a + 20; p = h + 17; c = t + 9; t = 20; v = i + 17; k = n + 6; w = k + 16; i = p + 3; r = c + 3. If t = 20, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 3 to v, which gives v = p + 20.\n2. Substitute p = h + 17 to v, which gives v = h + 37.\n3. Substitute h = r + 20 to v, which gives v = r + 57.\n4. Substitute r = c + 3 to v, which gives v = c + 60.\n5. Substitute c = t + 9 to v, which gives v = t + 69.\n6. Substitute t = 20 to v, which gives v = 89.\n\nThus, the final answer is v = \\boxed{89}.",
"index": 19041,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = t + 1; a = f + 1; h = r + 20; f = j + 7; n = a + 20; p = h + 17; c = t + 9; t = 20; v = i + 17; k = n + 6; w = k + 16; i = p + 3; r = c + 3. If t = 20, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 2", "l": "f + 20", "s": "l + 7", "c": "s + 4", "x": "c + 12", "o": "x + 18", "g": "d + 9", "r": "g + 8", "b": "r + 15", "z": "b + 6", "k": "z + 15", "e": "k + 6", "d": 15}, "premises": {"d": 15}, "target": "o"}, "answer": {"steps": [["x", "c + 12", "c + 30"], ["c", "s + 4", "s + 34"], ["s", "l + 7", "l + 41"], ["l", "f + 20", "f + 61"], ["f", "d + 2", "d + 63"], ["d", 15, "78"]], "target_var_name": "o", "target_value": 78, "value_dict": {"d": 15}, "is_reverse": true}} | 19,042 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = d + 2; b = r + 15; c = s + 4; z = b + 6; d = 15; r = g + 8; o = x + 18; e = k + 6; s = l + 7; x = c + 12; l = f + 20; g = d + 9; k = z + 15. If d = 15, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 12 to o, which gives o = c + 30.\n2. Substitute c = s + 4 to o, which gives o = s + 34.\n3. Substitute s = l + 7 to o, which gives o = l + 41.\n4. Substitute l = f + 20 to o, which gives o = f + 61.\n5. Substitute f = d + 2 to o, which gives o = d + 63.\n6. Substitute d = 15 to o, which gives o = 78.\n\nThus, the final answer is o = \\boxed{78}.",
"index": 19042,
"question": "Consider a system of variables where each variable is defined as follows: f = d + 2; b = r + 15; c = s + 4; z = b + 6; d = 15; r = g + 8; o = x + 18; e = k + 6; s = l + 7; x = c + 12; l = f + 20; g = d + 9; k = z + 15. If d = 15, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 9", "j": "n + 8", "q": "j + 5", "u": "q + 5", "m": "u + 17", "y": "m + 15", "o": "d + 10", "h": "o + 15", "s": "h + 18", "f": "s + 17", "z": "f + 5", "c": "z + 6", "d": 20}, "premises": {"d": 20}, "target": "y"}, "answer": {"steps": [["m", "u + 17", "u + 32"], ["u", "q + 5", "q + 37"], ["q", "j + 5", "j + 42"], ["j", "n + 8", "n + 50"], ["n", "d + 9", "d + 59"], ["d", 20, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"d": 20}, "is_reverse": true}} | 19,043 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = h + 18; j = n + 8; c = z + 6; m = u + 17; n = d + 9; q = j + 5; f = s + 17; z = f + 5; d = 20; u = q + 5; y = m + 15; h = o + 15; o = d + 10. Given that d = 20, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 17 to y, which gives y = u + 32.\n2. Substitute u = q + 5 to y, which gives y = q + 37.\n3. Substitute q = j + 5 to y, which gives y = j + 42.\n4. Substitute j = n + 8 to y, which gives y = n + 50.\n5. Substitute n = d + 9 to y, which gives y = d + 59.\n6. Substitute d = 20 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 19043,
"question": "Suppose a collection of variables is related by the following definitions: s = h + 18; j = n + 8; c = z + 6; m = u + 17; n = d + 9; q = j + 5; f = s + 17; z = f + 5; d = 20; u = q + 5; y = m + 15; h = o + 15; o = d + 10. Given that d = 20, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 5", "l": "s + 1", "d": "l + 3", "q": "d + 9", "t": "q + 13", "v": "t + 17", "p": "w + 7", "n": "p + 14", "j": "n + 17", "f": "j + 16", "y": "f + 11", "k": "y + 20", "w": 19}, "premises": {"w": 19}, "target": "v"}, "answer": {"steps": [["t", "q + 13", "q + 30"], ["q", "d + 9", "d + 39"], ["d", "l + 3", "l + 42"], ["l", "s + 1", "s + 43"], ["s", "w + 5", "w + 48"], ["w", 19, "67"]], "target_var_name": "v", "target_value": 67, "value_dict": {"w": 19}, "is_reverse": true}} | 19,044 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = y + 20; q = d + 9; t = q + 13; y = f + 11; j = n + 17; p = w + 7; v = t + 17; n = p + 14; w = 19; d = l + 3; f = j + 16; l = s + 1; s = w + 5. If w = 19, determine the 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 t = q + 13 to v, which gives v = q + 30.\n2. Substitute q = d + 9 to v, which gives v = d + 39.\n3. Substitute d = l + 3 to v, which gives v = l + 42.\n4. Substitute l = s + 1 to v, which gives v = s + 43.\n5. Substitute s = w + 5 to v, which gives v = w + 48.\n6. Substitute w = 19 to v, which gives v = 67.\n\nThus, the final answer is v = \\boxed{67}.",
"index": 19044,
"question": "Consider a system of variables where each variable is defined as follows: k = y + 20; q = d + 9; t = q + 13; y = f + 11; j = n + 17; p = w + 7; v = t + 17; n = p + 14; w = 19; d = l + 3; f = j + 16; l = s + 1; s = w + 5. If w = 19, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 15", "m": "n + 18", "p": "m + 8", "w": "p + 4", "y": "w + 4", "k": "y + 12", "v": "u + 13", "z": "v + 5", "o": "z + 14", "h": "o + 6", "s": "h + 9", "l": "s + 13", "u": 2}, "premises": {"u": 2}, "target": "k"}, "answer": {"steps": [["y", "w + 4", "w + 16"], ["w", "p + 4", "p + 20"], ["p", "m + 8", "m + 28"], ["m", "n + 18", "n + 46"], ["n", "u + 15", "u + 61"], ["u", 2, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"u": 2}, "is_reverse": true}} | 19,045 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = 2; s = h + 9; v = u + 13; l = s + 13; k = y + 12; p = m + 8; z = v + 5; n = u + 15; w = p + 4; m = n + 18; h = o + 6; o = z + 14; y = w + 4. If u = 2, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 4 to k, which gives k = w + 16.\n2. Substitute w = p + 4 to k, which gives k = p + 20.\n3. Substitute p = m + 8 to k, which gives k = m + 28.\n4. Substitute m = n + 18 to k, which gives k = n + 46.\n5. Substitute n = u + 15 to k, which gives k = u + 61.\n6. Substitute u = 2 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 19045,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 2; s = h + 9; v = u + 13; l = s + 13; k = y + 12; p = m + 8; z = v + 5; n = u + 15; w = p + 4; m = n + 18; h = o + 6; o = z + 14; y = w + 4. If u = 2, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 4", "q": "k + 16", "i": "q + 15", "o": "i + 1", "y": "o + 6", "v": "y + 7", "w": "p + 2", "s": "w + 4", "g": "s + 5", "a": "g + 13", "u": "a + 3", "f": "u + 9", "p": 16}, "premises": {"p": 16}, "target": "v"}, "answer": {"steps": [["y", "o + 6", "o + 13"], ["o", "i + 1", "i + 14"], ["i", "q + 15", "q + 29"], ["q", "k + 16", "k + 45"], ["k", "p + 4", "p + 49"], ["p", 16, "65"]], "target_var_name": "v", "target_value": 65, "value_dict": {"p": 16}, "is_reverse": true}} | 19,046 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = o + 6; k = p + 4; q = k + 16; a = g + 13; f = u + 9; i = q + 15; v = y + 7; w = p + 2; o = i + 1; g = s + 5; u = a + 3; s = w + 4; p = 16. If p = 16, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 6 to v, which gives v = o + 13.\n2. Substitute o = i + 1 to v, which gives v = i + 14.\n3. Substitute i = q + 15 to v, which gives v = q + 29.\n4. Substitute q = k + 16 to v, which gives v = k + 45.\n5. Substitute k = p + 4 to v, which gives v = p + 49.\n6. Substitute p = 16 to v, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 19046,
"question": "Consider a system of variables where each variable is defined as follows: y = o + 6; k = p + 4; q = k + 16; a = g + 13; f = u + 9; i = q + 15; v = y + 7; w = p + 2; o = i + 1; g = s + 5; u = a + 3; s = w + 4; p = 16. If p = 16, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"z": "g + 2", "x": "z + 1", "i": "x + 8", "q": "i + 16", "v": "q + 19", "m": "v + 10", "y": "g + 14", "u": "y + 7", "o": "u + 7", "l": "o + 4", "n": "l + 5", "a": "n + 8", "g": 6}, "premises": {"g": 6}, "target": "m"}, "answer": {"steps": [["v", "q + 19", "q + 29"], ["q", "i + 16", "i + 45"], ["i", "x + 8", "x + 53"], ["x", "z + 1", "z + 54"], ["z", "g + 2", "g + 56"], ["g", 6, "62"]], "target_var_name": "m", "target_value": 62, "value_dict": {"g": 6}, "is_reverse": true}} | 19,047 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = u + 7; x = z + 1; y = g + 14; i = x + 8; a = n + 8; u = y + 7; z = g + 2; v = q + 19; n = l + 5; m = v + 10; l = o + 4; q = i + 16; g = 6. If g = 6, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 19 to m, which gives m = q + 29.\n2. Substitute q = i + 16 to m, which gives m = i + 45.\n3. Substitute i = x + 8 to m, which gives m = x + 53.\n4. Substitute x = z + 1 to m, which gives m = z + 54.\n5. Substitute z = g + 2 to m, which gives m = g + 56.\n6. Substitute g = 6 to m, which gives m = 62.\n\nThus, the final answer is m = \\boxed{62}.",
"index": 19047,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = u + 7; x = z + 1; y = g + 14; i = x + 8; a = n + 8; u = y + 7; z = g + 2; v = q + 19; n = l + 5; m = v + 10; l = o + 4; q = i + 16; g = 6. If g = 6, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 2", "j": "z + 10", "p": "j + 10", "m": "p + 2", "o": "m + 18", "n": "o + 19", "x": "e + 9", "q": "x + 19", "c": "q + 4", "a": "c + 16", "f": "a + 9", "t": "f + 1", "e": 12}, "premises": {"e": 12}, "target": "n"}, "answer": {"steps": [["o", "m + 18", "m + 37"], ["m", "p + 2", "p + 39"], ["p", "j + 10", "j + 49"], ["j", "z + 10", "z + 59"], ["z", "e + 2", "e + 61"], ["e", 12, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"e": 12}, "is_reverse": true}} | 19,048 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = z + 10; a = c + 16; n = o + 19; m = p + 2; o = m + 18; p = j + 10; c = q + 4; t = f + 1; e = 12; f = a + 9; z = e + 2; x = e + 9; q = x + 19. Given that e = 12, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 18 to n, which gives n = m + 37.\n2. Substitute m = p + 2 to n, which gives n = p + 39.\n3. Substitute p = j + 10 to n, which gives n = j + 49.\n4. Substitute j = z + 10 to n, which gives n = z + 59.\n5. Substitute z = e + 2 to n, which gives n = e + 61.\n6. Substitute e = 12 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 19048,
"question": "Suppose a collection of variables is related by the following definitions: j = z + 10; a = c + 16; n = o + 19; m = p + 2; o = m + 18; p = j + 10; c = q + 4; t = f + 1; e = 12; f = a + 9; z = e + 2; x = e + 9; q = x + 19. Given that e = 12, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"u": "l + 17", "x": "u + 13", "a": "x + 2", "n": "a + 11", "z": "n + 17", "t": "z + 17", "v": "l + 15", "j": "v + 17", "m": "j + 1", "e": "m + 18", "i": "e + 2", "s": "i + 5", "l": 3}, "premises": {"l": 3}, "target": "t"}, "answer": {"steps": [["z", "n + 17", "n + 34"], ["n", "a + 11", "a + 45"], ["a", "x + 2", "x + 47"], ["x", "u + 13", "u + 60"], ["u", "l + 17", "l + 77"], ["l", 3, "80"]], "target_var_name": "t", "target_value": 80, "value_dict": {"l": 3}, "is_reverse": true}} | 19,049 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = z + 17; i = e + 2; a = x + 2; u = l + 17; z = n + 17; m = j + 1; x = u + 13; v = l + 15; e = m + 18; j = v + 17; s = i + 5; l = 3; n = a + 11. If l = 3, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 17 to t, which gives t = n + 34.\n2. Substitute n = a + 11 to t, which gives t = a + 45.\n3. Substitute a = x + 2 to t, which gives t = x + 47.\n4. Substitute x = u + 13 to t, which gives t = u + 60.\n5. Substitute u = l + 17 to t, which gives t = l + 77.\n6. Substitute l = 3 to t, which gives t = 80.\n\nThus, the final answer is t = \\boxed{80}.",
"index": 19049,
"question": "Consider a system of variables where each variable is defined as follows: t = z + 17; i = e + 2; a = x + 2; u = l + 17; z = n + 17; m = j + 1; x = u + 13; v = l + 15; e = m + 18; j = v + 17; s = i + 5; l = 3; n = a + 11. If l = 3, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"h": "n + 12", "d": "h + 19", "s": "d + 11", "c": "s + 5", "r": "c + 19", "x": "r + 16", "m": "n + 20", "j": "m + 3", "p": "j + 17", "w": "p + 17", "b": "w + 16", "u": "b + 10", "n": 19}, "premises": {"n": 19}, "target": "x"}, "answer": {"steps": [["r", "c + 19", "c + 35"], ["c", "s + 5", "s + 40"], ["s", "d + 11", "d + 51"], ["d", "h + 19", "h + 70"], ["h", "n + 12", "n + 82"], ["n", 19, "101"]], "target_var_name": "x", "target_value": 101, "value_dict": {"n": 19}, "is_reverse": true}} | 19,050 | 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 = b + 10; n = 19; c = s + 5; p = j + 17; r = c + 19; m = n + 20; j = m + 3; d = h + 19; b = w + 16; w = p + 17; h = n + 12; s = d + 11; x = r + 16. If n = 19, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 19 to x, which gives x = c + 35.\n2. Substitute c = s + 5 to x, which gives x = s + 40.\n3. Substitute s = d + 11 to x, which gives x = d + 51.\n4. Substitute d = h + 19 to x, which gives x = h + 70.\n5. Substitute h = n + 12 to x, which gives x = n + 82.\n6. Substitute n = 19 to x, which gives x = 101.\n\nThus, the final answer is x = \\boxed{101}.",
"index": 19050,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 10; n = 19; c = s + 5; p = j + 17; r = c + 19; m = n + 20; j = m + 3; d = h + 19; b = w + 16; w = p + 17; h = n + 12; s = d + 11; x = r + 16. If n = 19, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 2", "t": "h + 16", "c": "t + 2", "q": "c + 19", "k": "q + 3", "p": "k + 15", "f": "d + 2", "s": "f + 17", "e": "s + 15", "z": "e + 9", "u": "z + 13", "i": "u + 17", "d": 5}, "premises": {"d": 5}, "target": "p"}, "answer": {"steps": [["k", "q + 3", "q + 18"], ["q", "c + 19", "c + 37"], ["c", "t + 2", "t + 39"], ["t", "h + 16", "h + 55"], ["h", "d + 2", "d + 57"], ["d", 5, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"d": 5}, "is_reverse": true}} | 19,051 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = d + 2; u = z + 13; i = u + 17; q = c + 19; f = d + 2; c = t + 2; p = k + 15; z = e + 9; d = 5; e = s + 15; s = f + 17; t = h + 16; k = q + 3. If d = 5, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 3 to p, which gives p = q + 18.\n2. Substitute q = c + 19 to p, which gives p = c + 37.\n3. Substitute c = t + 2 to p, which gives p = t + 39.\n4. Substitute t = h + 16 to p, which gives p = h + 55.\n5. Substitute h = d + 2 to p, which gives p = d + 57.\n6. Substitute d = 5 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 19051,
"question": "Consider a system of variables where each variable is defined as follows: h = d + 2; u = z + 13; i = u + 17; q = c + 19; f = d + 2; c = t + 2; p = k + 15; z = e + 9; d = 5; e = s + 15; s = f + 17; t = h + 16; k = q + 3. If d = 5, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 11", "h": "s + 7", "c": "h + 18", "v": "c + 7", "p": "v + 11", "t": "p + 6", "g": "q + 14", "n": "g + 17", "i": "n + 4", "m": "i + 16", "u": "m + 7", "d": "u + 14", "q": 11}, "premises": {"q": 11}, "target": "t"}, "answer": {"steps": [["p", "v + 11", "v + 17"], ["v", "c + 7", "c + 24"], ["c", "h + 18", "h + 42"], ["h", "s + 7", "s + 49"], ["s", "q + 11", "q + 60"], ["q", 11, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"q": 11}, "is_reverse": true}} | 19,052 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = i + 16; t = p + 6; d = u + 14; p = v + 11; u = m + 7; q = 11; g = q + 14; n = g + 17; s = q + 11; c = h + 18; v = c + 7; i = n + 4; h = s + 7. If q = 11, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 11 to t, which gives t = v + 17.\n2. Substitute v = c + 7 to t, which gives t = c + 24.\n3. Substitute c = h + 18 to t, which gives t = h + 42.\n4. Substitute h = s + 7 to t, which gives t = s + 49.\n5. Substitute s = q + 11 to t, which gives t = q + 60.\n6. Substitute q = 11 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 19052,
"question": "Consider a system of variables where each variable is defined as follows: m = i + 16; t = p + 6; d = u + 14; p = v + 11; u = m + 7; q = 11; g = q + 14; n = g + 17; s = q + 11; c = h + 18; v = c + 7; i = n + 4; h = s + 7. If q = 11, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 17", "m": "f + 20", "k": "m + 14", "q": "k + 2", "w": "q + 4", "n": "w + 16", "g": "i + 14", "o": "g + 7", "z": "o + 17", "d": "z + 5", "p": "d + 18", "v": "p + 14", "i": 19}, "premises": {"i": 19}, "target": "n"}, "answer": {"steps": [["w", "q + 4", "q + 20"], ["q", "k + 2", "k + 22"], ["k", "m + 14", "m + 36"], ["m", "f + 20", "f + 56"], ["f", "i + 17", "i + 73"], ["i", 19, "92"]], "target_var_name": "n", "target_value": 92, "value_dict": {"i": 19}, "is_reverse": true}} | 19,053 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = g + 7; m = f + 20; f = i + 17; d = z + 5; g = i + 14; v = p + 14; i = 19; w = q + 4; z = o + 17; n = w + 16; p = d + 18; q = k + 2; k = m + 14. If i = 19, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 4 to n, which gives n = q + 20.\n2. Substitute q = k + 2 to n, which gives n = k + 22.\n3. Substitute k = m + 14 to n, which gives n = m + 36.\n4. Substitute m = f + 20 to n, which gives n = f + 56.\n5. Substitute f = i + 17 to n, which gives n = i + 73.\n6. Substitute i = 19 to n, which gives n = 92.\n\nThus, the final answer is n = \\boxed{92}.",
"index": 19053,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = g + 7; m = f + 20; f = i + 17; d = z + 5; g = i + 14; v = p + 14; i = 19; w = q + 4; z = o + 17; n = w + 16; p = d + 18; q = k + 2; k = m + 14. If i = 19, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 5", "b": "v + 13", "d": "b + 12", "p": "d + 20", "l": "p + 17", "s": "l + 14", "c": "x + 20", "w": "c + 4", "n": "w + 17", "g": "n + 16", "k": "g + 20", "h": "k + 13", "x": 11}, "premises": {"x": 11}, "target": "s"}, "answer": {"steps": [["l", "p + 17", "p + 31"], ["p", "d + 20", "d + 51"], ["d", "b + 12", "b + 63"], ["b", "v + 13", "v + 76"], ["v", "x + 5", "x + 81"], ["x", 11, "92"]], "target_var_name": "s", "target_value": 92, "value_dict": {"x": 11}, "is_reverse": true}} | 19,054 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = g + 20; n = w + 17; p = d + 20; h = k + 13; s = l + 14; x = 11; l = p + 17; w = c + 4; v = x + 5; c = x + 20; d = b + 12; b = v + 13; g = n + 16. If x = 11, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 17 to s, which gives s = p + 31.\n2. Substitute p = d + 20 to s, which gives s = d + 51.\n3. Substitute d = b + 12 to s, which gives s = b + 63.\n4. Substitute b = v + 13 to s, which gives s = v + 76.\n5. Substitute v = x + 5 to s, which gives s = x + 81.\n6. Substitute x = 11 to s, which gives s = 92.\n\nThus, the final answer is s = \\boxed{92}.",
"index": 19054,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = g + 20; n = w + 17; p = d + 20; h = k + 13; s = l + 14; x = 11; l = p + 17; w = c + 4; v = x + 5; c = x + 20; d = b + 12; b = v + 13; g = n + 16. If x = 11, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"k": "b + 2", "r": "k + 12", "o": "r + 12", "u": "o + 8", "f": "u + 9", "l": "f + 18", "z": "b + 8", "y": "z + 8", "x": "y + 2", "a": "x + 3", "s": "a + 1", "m": "s + 15", "b": 11}, "premises": {"b": 11}, "target": "l"}, "answer": {"steps": [["f", "u + 9", "u + 27"], ["u", "o + 8", "o + 35"], ["o", "r + 12", "r + 47"], ["r", "k + 12", "k + 59"], ["k", "b + 2", "b + 61"], ["b", 11, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"b": 11}, "is_reverse": true}} | 19,055 | 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 = x + 3; u = o + 8; s = a + 1; m = s + 15; r = k + 12; f = u + 9; k = b + 2; x = y + 2; b = 11; y = z + 8; z = b + 8; l = f + 18; o = r + 12. If b = 11, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 9 to l, which gives l = u + 27.\n2. Substitute u = o + 8 to l, which gives l = o + 35.\n3. Substitute o = r + 12 to l, which gives l = r + 47.\n4. Substitute r = k + 12 to l, which gives l = k + 59.\n5. Substitute k = b + 2 to l, which gives l = b + 61.\n6. Substitute b = 11 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 19055,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = x + 3; u = o + 8; s = a + 1; m = s + 15; r = k + 12; f = u + 9; k = b + 2; x = y + 2; b = 11; y = z + 8; z = b + 8; l = f + 18; o = r + 12. If b = 11, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 16", "v": "b + 14", "m": "v + 7", "y": "m + 6", "q": "y + 2", "z": "q + 9", "a": "c + 3", "o": "a + 9", "t": "o + 6", "h": "t + 17", "n": "h + 13", "l": "n + 5", "c": 8}, "premises": {"c": 8}, "target": "z"}, "answer": {"steps": [["q", "y + 2", "y + 11"], ["y", "m + 6", "m + 17"], ["m", "v + 7", "v + 24"], ["v", "b + 14", "b + 38"], ["b", "c + 16", "c + 54"], ["c", 8, "62"]], "target_var_name": "z", "target_value": 62, "value_dict": {"c": 8}, "is_reverse": true}} | 19,056 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 9; v = b + 14; h = t + 17; m = v + 7; y = m + 6; q = y + 2; a = c + 3; l = n + 5; t = o + 6; z = q + 9; b = c + 16; c = 8; n = h + 13. If c = 8, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 2 to z, which gives z = y + 11.\n2. Substitute y = m + 6 to z, which gives z = m + 17.\n3. Substitute m = v + 7 to z, which gives z = v + 24.\n4. Substitute v = b + 14 to z, which gives z = b + 38.\n5. Substitute b = c + 16 to z, which gives z = c + 54.\n6. Substitute c = 8 to z, which gives z = 62.\n\nThus, the final answer is z = \\boxed{62}.",
"index": 19056,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 9; v = b + 14; h = t + 17; m = v + 7; y = m + 6; q = y + 2; a = c + 3; l = n + 5; t = o + 6; z = q + 9; b = c + 16; c = 8; n = h + 13. If c = 8, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"z": "p + 7", "s": "z + 14", "k": "s + 17", "b": "k + 17", "a": "b + 4", "q": "a + 19", "i": "p + 20", "r": "i + 5", "t": "r + 14", "m": "t + 8", "e": "m + 8", "j": "e + 15", "p": 19}, "premises": {"p": 19}, "target": "q"}, "answer": {"steps": [["a", "b + 4", "b + 23"], ["b", "k + 17", "k + 40"], ["k", "s + 17", "s + 57"], ["s", "z + 14", "z + 71"], ["z", "p + 7", "p + 78"], ["p", 19, "97"]], "target_var_name": "q", "target_value": 97, "value_dict": {"p": 19}, "is_reverse": true}} | 19,057 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 14; s = z + 14; m = t + 8; p = 19; j = e + 15; q = a + 19; r = i + 5; e = m + 8; k = s + 17; i = p + 20; z = p + 7; b = k + 17; a = b + 4. If p = 19, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 4 to q, which gives q = b + 23.\n2. Substitute b = k + 17 to q, which gives q = k + 40.\n3. Substitute k = s + 17 to q, which gives q = s + 57.\n4. Substitute s = z + 14 to q, which gives q = z + 71.\n5. Substitute z = p + 7 to q, which gives q = p + 78.\n6. Substitute p = 19 to q, which gives q = 97.\n\nThus, the final answer is q = \\boxed{97}.",
"index": 19057,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 14; s = z + 14; m = t + 8; p = 19; j = e + 15; q = a + 19; r = i + 5; e = m + 8; k = s + 17; i = p + 20; z = p + 7; b = k + 17; a = b + 4. If p = 19, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 6", "i": "f + 16", "p": "i + 9", "d": "p + 20", "k": "d + 13", "m": "k + 6", "o": "j + 2", "t": "o + 13", "c": "t + 14", "u": "c + 5", "l": "u + 20", "v": "l + 15", "j": 2}, "premises": {"j": 2}, "target": "m"}, "answer": {"steps": [["k", "d + 13", "d + 19"], ["d", "p + 20", "p + 39"], ["p", "i + 9", "i + 48"], ["i", "f + 16", "f + 64"], ["f", "j + 6", "j + 70"], ["j", 2, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"j": 2}, "is_reverse": true}} | 19,058 | 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 = j + 6; c = t + 14; k = d + 13; v = l + 15; i = f + 16; p = i + 9; o = j + 2; d = p + 20; m = k + 6; j = 2; t = o + 13; l = u + 20; u = c + 5. If j = 2, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 13 to m, which gives m = d + 19.\n2. Substitute d = p + 20 to m, which gives m = p + 39.\n3. Substitute p = i + 9 to m, which gives m = i + 48.\n4. Substitute i = f + 16 to m, which gives m = f + 64.\n5. Substitute f = j + 6 to m, which gives m = j + 70.\n6. Substitute j = 2 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 19058,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = j + 6; c = t + 14; k = d + 13; v = l + 15; i = f + 16; p = i + 9; o = j + 2; d = p + 20; m = k + 6; j = 2; t = o + 13; l = u + 20; u = c + 5. If j = 2, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 6", "x": "n + 19", "e": "x + 6", "m": "e + 1", "t": "m + 16", "q": "t + 15", "v": "g + 10", "u": "v + 11", "h": "u + 4", "b": "h + 2", "a": "b + 3", "l": "a + 5", "g": 14}, "premises": {"g": 14}, "target": "q"}, "answer": {"steps": [["t", "m + 16", "m + 31"], ["m", "e + 1", "e + 32"], ["e", "x + 6", "x + 38"], ["x", "n + 19", "n + 57"], ["n", "g + 6", "g + 63"], ["g", 14, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"g": 14}, "is_reverse": true}} | 19,059 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = v + 11; h = u + 4; n = g + 6; t = m + 16; g = 14; b = h + 2; m = e + 1; q = t + 15; e = x + 6; v = g + 10; l = a + 5; a = b + 3; x = n + 19. Given that g = 14, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 16 to q, which gives q = m + 31.\n2. Substitute m = e + 1 to q, which gives q = e + 32.\n3. Substitute e = x + 6 to q, which gives q = x + 38.\n4. Substitute x = n + 19 to q, which gives q = n + 57.\n5. Substitute n = g + 6 to q, which gives q = g + 63.\n6. Substitute g = 14 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 19059,
"question": "Suppose a collection of variables is related by the following definitions: u = v + 11; h = u + 4; n = g + 6; t = m + 16; g = 14; b = h + 2; m = e + 1; q = t + 15; e = x + 6; v = g + 10; l = a + 5; a = b + 3; x = n + 19. Given that g = 14, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 8", "t": "d + 15", "p": "t + 20", "k": "p + 10", "r": "k + 14", "e": "r + 14", "j": "s + 3", "x": "j + 8", "i": "x + 12", "g": "i + 10", "w": "g + 5", "b": "w + 12", "s": 9}, "premises": {"s": 9}, "target": "e"}, "answer": {"steps": [["r", "k + 14", "k + 28"], ["k", "p + 10", "p + 38"], ["p", "t + 20", "t + 58"], ["t", "d + 15", "d + 73"], ["d", "s + 8", "s + 81"], ["s", 9, "90"]], "target_var_name": "e", "target_value": 90, "value_dict": {"s": 9}, "is_reverse": true}} | 19,060 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = w + 12; d = s + 8; k = p + 10; t = d + 15; p = t + 20; r = k + 14; w = g + 5; j = s + 3; e = r + 14; g = i + 10; s = 9; x = j + 8; i = x + 12. Given that s = 9, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 14 to e, which gives e = k + 28.\n2. Substitute k = p + 10 to e, which gives e = p + 38.\n3. Substitute p = t + 20 to e, which gives e = t + 58.\n4. Substitute t = d + 15 to e, which gives e = d + 73.\n5. Substitute d = s + 8 to e, which gives e = s + 81.\n6. Substitute s = 9 to e, which gives e = 90.\n\nThus, the final answer is e = \\boxed{90}.",
"index": 19060,
"question": "Suppose a collection of variables is related by the following definitions: b = w + 12; d = s + 8; k = p + 10; t = d + 15; p = t + 20; r = k + 14; w = g + 5; j = s + 3; e = r + 14; g = i + 10; s = 9; x = j + 8; i = x + 12. Given that s = 9, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"i": "e + 12", "t": "i + 19", "p": "t + 2", "y": "p + 12", "d": "y + 5", "v": "d + 10", "g": "e + 16", "x": "g + 9", "s": "x + 13", "b": "s + 17", "c": "b + 12", "f": "c + 14", "e": 12}, "premises": {"e": 12}, "target": "v"}, "answer": {"steps": [["d", "y + 5", "y + 15"], ["y", "p + 12", "p + 27"], ["p", "t + 2", "t + 29"], ["t", "i + 19", "i + 48"], ["i", "e + 12", "e + 60"], ["e", 12, "72"]], "target_var_name": "v", "target_value": 72, "value_dict": {"e": 12}, "is_reverse": true}} | 19,061 | 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 = t + 2; t = i + 19; x = g + 9; b = s + 17; d = y + 5; i = e + 12; c = b + 12; f = c + 14; e = 12; y = p + 12; v = d + 10; g = e + 16; s = x + 13. If e = 12, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 5 to v, which gives v = y + 15.\n2. Substitute y = p + 12 to v, which gives v = p + 27.\n3. Substitute p = t + 2 to v, which gives v = t + 29.\n4. Substitute t = i + 19 to v, which gives v = i + 48.\n5. Substitute i = e + 12 to v, which gives v = e + 60.\n6. Substitute e = 12 to v, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 19061,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 2; t = i + 19; x = g + 9; b = s + 17; d = y + 5; i = e + 12; c = b + 12; f = c + 14; e = 12; y = p + 12; v = d + 10; g = e + 16; s = x + 13. If e = 12, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 4", "y": "l + 11", "m": "y + 3", "i": "m + 19", "w": "i + 10", "j": "w + 12", "h": "u + 11", "q": "h + 19", "f": "q + 18", "g": "f + 19", "v": "g + 20", "c": "v + 3", "u": 8}, "premises": {"u": 8}, "target": "j"}, "answer": {"steps": [["w", "i + 10", "i + 22"], ["i", "m + 19", "m + 41"], ["m", "y + 3", "y + 44"], ["y", "l + 11", "l + 55"], ["l", "u + 4", "u + 59"], ["u", 8, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"u": 8}, "is_reverse": true}} | 19,062 | 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 = l + 11; i = m + 19; j = w + 12; f = q + 18; h = u + 11; q = h + 19; v = g + 20; u = 8; l = u + 4; c = v + 3; m = y + 3; g = f + 19; w = i + 10. If u = 8, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 10 to j, which gives j = i + 22.\n2. Substitute i = m + 19 to j, which gives j = m + 41.\n3. Substitute m = y + 3 to j, which gives j = y + 44.\n4. Substitute y = l + 11 to j, which gives j = l + 55.\n5. Substitute l = u + 4 to j, which gives j = u + 59.\n6. Substitute u = 8 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 19062,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 11; i = m + 19; j = w + 12; f = q + 18; h = u + 11; q = h + 19; v = g + 20; u = 8; l = u + 4; c = v + 3; m = y + 3; g = f + 19; w = i + 10. If u = 8, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 12", "g": "j + 12", "u": "g + 18", "a": "u + 1", "c": "a + 3", "e": "c + 1", "q": "p + 20", "s": "q + 18", "v": "s + 12", "h": "v + 17", "x": "h + 9", "r": "x + 1", "p": 16}, "premises": {"p": 16}, "target": "e"}, "answer": {"steps": [["c", "a + 3", "a + 4"], ["a", "u + 1", "u + 5"], ["u", "g + 18", "g + 23"], ["g", "j + 12", "j + 35"], ["j", "p + 12", "p + 47"], ["p", 16, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"p": 16}, "is_reverse": true}} | 19,063 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 12; e = c + 1; s = q + 18; a = u + 1; q = p + 20; c = a + 3; v = s + 12; r = x + 1; u = g + 18; j = p + 12; p = 16; h = v + 17; x = h + 9. Given that p = 16, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 3 to e, which gives e = a + 4.\n2. Substitute a = u + 1 to e, which gives e = u + 5.\n3. Substitute u = g + 18 to e, which gives e = g + 23.\n4. Substitute g = j + 12 to e, which gives e = j + 35.\n5. Substitute j = p + 12 to e, which gives e = p + 47.\n6. Substitute p = 16 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 19063,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 12; e = c + 1; s = q + 18; a = u + 1; q = p + 20; c = a + 3; v = s + 12; r = x + 1; u = g + 18; j = p + 12; p = 16; h = v + 17; x = h + 9. Given that p = 16, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 16", "u": "w + 18", "r": "u + 3", "b": "r + 11", "m": "b + 1", "p": "m + 16", "o": "y + 11", "a": "o + 11", "z": "a + 4", "h": "z + 6", "t": "h + 1", "n": "t + 15", "y": 11}, "premises": {"y": 11}, "target": "p"}, "answer": {"steps": [["m", "b + 1", "b + 17"], ["b", "r + 11", "r + 28"], ["r", "u + 3", "u + 31"], ["u", "w + 18", "w + 49"], ["w", "y + 16", "y + 65"], ["y", 11, "76"]], "target_var_name": "p", "target_value": 76, "value_dict": {"y": 11}, "is_reverse": true}} | 19,064 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = w + 18; m = b + 1; a = o + 11; n = t + 15; o = y + 11; r = u + 3; y = 11; p = m + 16; w = y + 16; b = r + 11; t = h + 1; z = a + 4; h = z + 6. Given that y = 11, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 1 to p, which gives p = b + 17.\n2. Substitute b = r + 11 to p, which gives p = r + 28.\n3. Substitute r = u + 3 to p, which gives p = u + 31.\n4. Substitute u = w + 18 to p, which gives p = w + 49.\n5. Substitute w = y + 16 to p, which gives p = y + 65.\n6. Substitute y = 11 to p, which gives p = 76.\n\nThus, the final answer is p = \\boxed{76}.",
"index": 19064,
"question": "Suppose a collection of variables is related by the following definitions: u = w + 18; m = b + 1; a = o + 11; n = t + 15; o = y + 11; r = u + 3; y = 11; p = m + 16; w = y + 16; b = r + 11; t = h + 1; z = a + 4; h = z + 6. Given that y = 11, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 3", "z": "f + 19", "h": "z + 19", "a": "h + 14", "y": "a + 15", "e": "y + 3", "i": "j + 18", "p": "i + 3", "g": "p + 18", "w": "g + 10", "s": "w + 11", "d": "s + 16", "j": 19}, "premises": {"j": 19}, "target": "e"}, "answer": {"steps": [["y", "a + 15", "a + 18"], ["a", "h + 14", "h + 32"], ["h", "z + 19", "z + 51"], ["z", "f + 19", "f + 70"], ["f", "j + 3", "j + 73"], ["j", 19, "92"]], "target_var_name": "e", "target_value": 92, "value_dict": {"j": 19}, "is_reverse": true}} | 19,065 | 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 = 19; i = j + 18; s = w + 11; e = y + 3; f = j + 3; a = h + 14; p = i + 3; y = a + 15; d = s + 16; w = g + 10; g = p + 18; h = z + 19; z = f + 19. If j = 19, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 15 to e, which gives e = a + 18.\n2. Substitute a = h + 14 to e, which gives e = h + 32.\n3. Substitute h = z + 19 to e, which gives e = z + 51.\n4. Substitute z = f + 19 to e, which gives e = f + 70.\n5. Substitute f = j + 3 to e, which gives e = j + 73.\n6. Substitute j = 19 to e, which gives e = 92.\n\nThus, the final answer is e = \\boxed{92}.",
"index": 19065,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 19; i = j + 18; s = w + 11; e = y + 3; f = j + 3; a = h + 14; p = i + 3; y = a + 15; d = s + 16; w = g + 10; g = p + 18; h = z + 19; z = f + 19. If j = 19, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 6", "w": "e + 3", "t": "w + 13", "k": "t + 5", "d": "k + 19", "v": "d + 4", "o": "b + 11", "f": "o + 5", "i": "f + 13", "p": "i + 15", "g": "p + 9", "r": "g + 19", "b": 9}, "premises": {"b": 9}, "target": "v"}, "answer": {"steps": [["d", "k + 19", "k + 23"], ["k", "t + 5", "t + 28"], ["t", "w + 13", "w + 41"], ["w", "e + 3", "e + 44"], ["e", "b + 6", "b + 50"], ["b", 9, "59"]], "target_var_name": "v", "target_value": 59, "value_dict": {"b": 9}, "is_reverse": true}} | 19,066 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = 9; e = b + 6; r = g + 19; o = b + 11; i = f + 13; d = k + 19; v = d + 4; p = i + 15; f = o + 5; g = p + 9; k = t + 5; w = e + 3; t = w + 13. If b = 9, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 19 to v, which gives v = k + 23.\n2. Substitute k = t + 5 to v, which gives v = t + 28.\n3. Substitute t = w + 13 to v, which gives v = w + 41.\n4. Substitute w = e + 3 to v, which gives v = e + 44.\n5. Substitute e = b + 6 to v, which gives v = b + 50.\n6. Substitute b = 9 to v, which gives v = 59.\n\nThus, the final answer is v = \\boxed{59}.",
"index": 19066,
"question": "Consider a system of variables where each variable is defined as follows: b = 9; e = b + 6; r = g + 19; o = b + 11; i = f + 13; d = k + 19; v = d + 4; p = i + 15; f = o + 5; g = p + 9; k = t + 5; w = e + 3; t = w + 13. If b = 9, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 3", "e": "n + 16", "q": "e + 13", "g": "q + 6", "x": "g + 2", "a": "x + 8", "l": "y + 6", "h": "l + 6", "v": "h + 10", "w": "v + 8", "d": "w + 18", "f": "d + 6", "y": 18}, "premises": {"y": 18}, "target": "a"}, "answer": {"steps": [["x", "g + 2", "g + 10"], ["g", "q + 6", "q + 16"], ["q", "e + 13", "e + 29"], ["e", "n + 16", "n + 45"], ["n", "y + 3", "y + 48"], ["y", 18, "66"]], "target_var_name": "a", "target_value": 66, "value_dict": {"y": 18}, "is_reverse": true}} | 19,067 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = d + 6; h = l + 6; v = h + 10; x = g + 2; e = n + 16; d = w + 18; q = e + 13; n = y + 3; l = y + 6; w = v + 8; a = x + 8; y = 18; g = q + 6. Given that y = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 2 to a, which gives a = g + 10.\n2. Substitute g = q + 6 to a, which gives a = q + 16.\n3. Substitute q = e + 13 to a, which gives a = e + 29.\n4. Substitute e = n + 16 to a, which gives a = n + 45.\n5. Substitute n = y + 3 to a, which gives a = y + 48.\n6. Substitute y = 18 to a, which gives a = 66.\n\nThus, the final answer is a = \\boxed{66}.",
"index": 19067,
"question": "Suppose a collection of variables is related by the following definitions: f = d + 6; h = l + 6; v = h + 10; x = g + 2; e = n + 16; d = w + 18; q = e + 13; n = y + 3; l = y + 6; w = v + 8; a = x + 8; y = 18; g = q + 6. Given that y = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"u": "l + 13", "h": "u + 5", "v": "h + 5", "s": "v + 16", "x": "s + 4", "q": "x + 11", "y": "l + 10", "j": "y + 9", "k": "j + 14", "w": "k + 14", "e": "w + 15", "z": "e + 3", "l": 7}, "premises": {"l": 7}, "target": "q"}, "answer": {"steps": [["x", "s + 4", "s + 15"], ["s", "v + 16", "v + 31"], ["v", "h + 5", "h + 36"], ["h", "u + 5", "u + 41"], ["u", "l + 13", "l + 54"], ["l", 7, "61"]], "target_var_name": "q", "target_value": 61, "value_dict": {"l": 7}, "is_reverse": true}} | 19,068 | 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 = l + 10; u = l + 13; s = v + 16; q = x + 11; v = h + 5; w = k + 14; l = 7; h = u + 5; j = y + 9; k = j + 14; x = s + 4; z = e + 3; e = w + 15. If l = 7, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 4 to q, which gives q = s + 15.\n2. Substitute s = v + 16 to q, which gives q = v + 31.\n3. Substitute v = h + 5 to q, which gives q = h + 36.\n4. Substitute h = u + 5 to q, which gives q = u + 41.\n5. Substitute u = l + 13 to q, which gives q = l + 54.\n6. Substitute l = 7 to q, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 19068,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 10; u = l + 13; s = v + 16; q = x + 11; v = h + 5; w = k + 14; l = 7; h = u + 5; j = y + 9; k = j + 14; x = s + 4; z = e + 3; e = w + 15. If l = 7, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 16", "e": "z + 4", "l": "e + 7", "a": "l + 18", "f": "a + 5", "q": "f + 14", "r": "v + 14", "d": "r + 11", "o": "d + 5", "k": "o + 3", "p": "k + 18", "h": "p + 18", "v": 2}, "premises": {"v": 2}, "target": "q"}, "answer": {"steps": [["f", "a + 5", "a + 19"], ["a", "l + 18", "l + 37"], ["l", "e + 7", "e + 44"], ["e", "z + 4", "z + 48"], ["z", "v + 16", "v + 64"], ["v", 2, "66"]], "target_var_name": "q", "target_value": 66, "value_dict": {"v": 2}, "is_reverse": true}} | 19,069 | 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 = o + 3; d = r + 11; r = v + 14; f = a + 5; a = l + 18; q = f + 14; h = p + 18; z = v + 16; l = e + 7; p = k + 18; v = 2; e = z + 4; o = d + 5. If v = 2, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 5 to q, which gives q = a + 19.\n2. Substitute a = l + 18 to q, which gives q = l + 37.\n3. Substitute l = e + 7 to q, which gives q = e + 44.\n4. Substitute e = z + 4 to q, which gives q = z + 48.\n5. Substitute z = v + 16 to q, which gives q = v + 64.\n6. Substitute v = 2 to q, which gives q = 66.\n\nThus, the final answer is q = \\boxed{66}.",
"index": 19069,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = o + 3; d = r + 11; r = v + 14; f = a + 5; a = l + 18; q = f + 14; h = p + 18; z = v + 16; l = e + 7; p = k + 18; v = 2; e = z + 4; o = d + 5. If v = 2, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 20", "a": "g + 13", "m": "a + 7", "v": "m + 3", "l": "v + 15", "d": "l + 8", "s": "r + 17", "c": "s + 6", "z": "c + 12", "h": "z + 17", "o": "h + 12", "j": "o + 1", "r": 12}, "premises": {"r": 12}, "target": "d"}, "answer": {"steps": [["l", "v + 15", "v + 23"], ["v", "m + 3", "m + 26"], ["m", "a + 7", "a + 33"], ["a", "g + 13", "g + 46"], ["g", "r + 20", "r + 66"], ["r", 12, "78"]], "target_var_name": "d", "target_value": 78, "value_dict": {"r": 12}, "is_reverse": true}} | 19,070 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = c + 12; j = o + 1; o = h + 12; m = a + 7; d = l + 8; h = z + 17; g = r + 20; c = s + 6; a = g + 13; v = m + 3; l = v + 15; r = 12; s = r + 17. If r = 12, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 15 to d, which gives d = v + 23.\n2. Substitute v = m + 3 to d, which gives d = m + 26.\n3. Substitute m = a + 7 to d, which gives d = a + 33.\n4. Substitute a = g + 13 to d, which gives d = g + 46.\n5. Substitute g = r + 20 to d, which gives d = r + 66.\n6. Substitute r = 12 to d, which gives d = 78.\n\nThus, the final answer is d = \\boxed{78}.",
"index": 19070,
"question": "Consider a system of variables where each variable is defined as follows: z = c + 12; j = o + 1; o = h + 12; m = a + 7; d = l + 8; h = z + 17; g = r + 20; c = s + 6; a = g + 13; v = m + 3; l = v + 15; r = 12; s = r + 17. If r = 12, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"r": "l + 3", "p": "r + 20", "s": "p + 2", "h": "s + 20", "m": "h + 10", "f": "m + 9", "y": "l + 10", "k": "y + 15", "q": "k + 19", "u": "q + 14", "a": "u + 15", "e": "a + 1", "l": 1}, "premises": {"l": 1}, "target": "f"}, "answer": {"steps": [["m", "h + 10", "h + 19"], ["h", "s + 20", "s + 39"], ["s", "p + 2", "p + 41"], ["p", "r + 20", "r + 61"], ["r", "l + 3", "l + 64"], ["l", 1, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"l": 1}, "is_reverse": true}} | 19,071 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = u + 15; u = q + 14; s = p + 2; f = m + 9; r = l + 3; k = y + 15; h = s + 20; l = 1; m = h + 10; y = l + 10; e = a + 1; p = r + 20; q = k + 19. Given that l = 1, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 10 to f, which gives f = h + 19.\n2. Substitute h = s + 20 to f, which gives f = s + 39.\n3. Substitute s = p + 2 to f, which gives f = p + 41.\n4. Substitute p = r + 20 to f, which gives f = r + 61.\n5. Substitute r = l + 3 to f, which gives f = l + 64.\n6. Substitute l = 1 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 19071,
"question": "Suppose a collection of variables is related by the following definitions: a = u + 15; u = q + 14; s = p + 2; f = m + 9; r = l + 3; k = y + 15; h = s + 20; l = 1; m = h + 10; y = l + 10; e = a + 1; p = r + 20; q = k + 19. Given that l = 1, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 16", "d": "f + 9", "i": "d + 9", "x": "i + 6", "w": "x + 7", "u": "w + 12", "m": "k + 17", "v": "m + 10", "z": "v + 13", "l": "z + 10", "b": "l + 8", "o": "b + 17", "k": 10}, "premises": {"k": 10}, "target": "u"}, "answer": {"steps": [["w", "x + 7", "x + 19"], ["x", "i + 6", "i + 25"], ["i", "d + 9", "d + 34"], ["d", "f + 9", "f + 43"], ["f", "k + 16", "k + 59"], ["k", 10, "69"]], "target_var_name": "u", "target_value": 69, "value_dict": {"k": 10}, "is_reverse": true}} | 19,072 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = b + 17; k = 10; v = m + 10; f = k + 16; b = l + 8; i = d + 9; d = f + 9; u = w + 12; z = v + 13; w = x + 7; m = k + 17; x = i + 6; l = z + 10. If k = 10, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 7 to u, which gives u = x + 19.\n2. Substitute x = i + 6 to u, which gives u = i + 25.\n3. Substitute i = d + 9 to u, which gives u = d + 34.\n4. Substitute d = f + 9 to u, which gives u = f + 43.\n5. Substitute f = k + 16 to u, which gives u = k + 59.\n6. Substitute k = 10 to u, which gives u = 69.\n\nThus, the final answer is u = \\boxed{69}.",
"index": 19072,
"question": "Consider a system of variables where each variable is defined as follows: o = b + 17; k = 10; v = m + 10; f = k + 16; b = l + 8; i = d + 9; d = f + 9; u = w + 12; z = v + 13; w = x + 7; m = k + 17; x = i + 6; l = z + 10. If k = 10, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"h": "n + 14", "e": "h + 1", "r": "e + 20", "l": "r + 18", "p": "l + 10", "t": "p + 8", "q": "n + 1", "v": "q + 3", "f": "v + 7", "x": "f + 4", "m": "x + 4", "j": "m + 17", "n": 12}, "premises": {"n": 12}, "target": "t"}, "answer": {"steps": [["p", "l + 10", "l + 18"], ["l", "r + 18", "r + 36"], ["r", "e + 20", "e + 56"], ["e", "h + 1", "h + 57"], ["h", "n + 14", "n + 71"], ["n", 12, "83"]], "target_var_name": "t", "target_value": 83, "value_dict": {"n": 12}, "is_reverse": true}} | 19,073 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 8; f = v + 7; x = f + 4; n = 12; q = n + 1; j = m + 17; v = q + 3; h = n + 14; l = r + 18; m = x + 4; r = e + 20; p = l + 10; e = h + 1. If n = 12, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 10 to t, which gives t = l + 18.\n2. Substitute l = r + 18 to t, which gives t = r + 36.\n3. Substitute r = e + 20 to t, which gives t = e + 56.\n4. Substitute e = h + 1 to t, which gives t = h + 57.\n5. Substitute h = n + 14 to t, which gives t = n + 71.\n6. Substitute n = 12 to t, which gives t = 83.\n\nThus, the final answer is t = \\boxed{83}.",
"index": 19073,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 8; f = v + 7; x = f + 4; n = 12; q = n + 1; j = m + 17; v = q + 3; h = n + 14; l = r + 18; m = x + 4; r = e + 20; p = l + 10; e = h + 1. If n = 12, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"i": "t + 8", "u": "i + 12", "x": "u + 14", "p": "x + 20", "f": "p + 17", "b": "f + 6", "r": "t + 8", "a": "r + 13", "l": "a + 11", "h": "l + 14", "k": "h + 18", "d": "k + 17", "t": 11}, "premises": {"t": 11}, "target": "b"}, "answer": {"steps": [["f", "p + 17", "p + 23"], ["p", "x + 20", "x + 43"], ["x", "u + 14", "u + 57"], ["u", "i + 12", "i + 69"], ["i", "t + 8", "t + 77"], ["t", 11, "88"]], "target_var_name": "b", "target_value": 88, "value_dict": {"t": 11}, "is_reverse": true}} | 19,074 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = t + 8; x = u + 14; d = k + 17; b = f + 6; h = l + 14; a = r + 13; t = 11; u = i + 12; p = x + 20; l = a + 11; k = h + 18; i = t + 8; f = p + 17. If t = 11, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 17 to b, which gives b = p + 23.\n2. Substitute p = x + 20 to b, which gives b = x + 43.\n3. Substitute x = u + 14 to b, which gives b = u + 57.\n4. Substitute u = i + 12 to b, which gives b = i + 69.\n5. Substitute i = t + 8 to b, which gives b = t + 77.\n6. Substitute t = 11 to b, which gives b = 88.\n\nThus, the final answer is b = \\boxed{88}.",
"index": 19074,
"question": "Consider a system of variables where each variable is defined as follows: r = t + 8; x = u + 14; d = k + 17; b = f + 6; h = l + 14; a = r + 13; t = 11; u = i + 12; p = x + 20; l = a + 11; k = h + 18; i = t + 8; f = p + 17. If t = 11, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 9", "y": "r + 1", "d": "y + 3", "j": "d + 3", "u": "j + 16", "v": "u + 15", "w": "k + 4", "q": "w + 2", "x": "q + 17", "p": "x + 4", "f": "p + 1", "e": "f + 17", "k": 7}, "premises": {"k": 7}, "target": "v"}, "answer": {"steps": [["u", "j + 16", "j + 31"], ["j", "d + 3", "d + 34"], ["d", "y + 3", "y + 37"], ["y", "r + 1", "r + 38"], ["r", "k + 9", "k + 47"], ["k", 7, "54"]], "target_var_name": "v", "target_value": 54, "value_dict": {"k": 7}, "is_reverse": true}} | 19,075 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 17; f = p + 1; y = r + 1; q = w + 2; v = u + 15; k = 7; r = k + 9; d = y + 3; x = q + 17; p = x + 4; u = j + 16; j = d + 3; w = k + 4. If k = 7, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 16 to v, which gives v = j + 31.\n2. Substitute j = d + 3 to v, which gives v = d + 34.\n3. Substitute d = y + 3 to v, which gives v = y + 37.\n4. Substitute y = r + 1 to v, which gives v = r + 38.\n5. Substitute r = k + 9 to v, which gives v = k + 47.\n6. Substitute k = 7 to v, which gives v = 54.\n\nThus, the final answer is v = \\boxed{54}.",
"index": 19075,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 17; f = p + 1; y = r + 1; q = w + 2; v = u + 15; k = 7; r = k + 9; d = y + 3; x = q + 17; p = x + 4; u = j + 16; j = d + 3; w = k + 4. If k = 7, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 7", "k": "o + 8", "c": "k + 20", "f": "c + 8", "h": "f + 17", "x": "h + 3", "p": "v + 17", "s": "p + 9", "n": "s + 4", "l": "n + 8", "b": "l + 3", "w": "b + 20", "v": 15}, "premises": {"v": 15}, "target": "x"}, "answer": {"steps": [["h", "f + 17", "f + 20"], ["f", "c + 8", "c + 28"], ["c", "k + 20", "k + 48"], ["k", "o + 8", "o + 56"], ["o", "v + 7", "v + 63"], ["v", 15, "78"]], "target_var_name": "x", "target_value": 78, "value_dict": {"v": 15}, "is_reverse": true}} | 19,076 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = h + 3; w = b + 20; o = v + 7; l = n + 8; k = o + 8; p = v + 17; h = f + 17; s = p + 9; n = s + 4; v = 15; f = c + 8; c = k + 20; b = l + 3. If v = 15, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 17 to x, which gives x = f + 20.\n2. Substitute f = c + 8 to x, which gives x = c + 28.\n3. Substitute c = k + 20 to x, which gives x = k + 48.\n4. Substitute k = o + 8 to x, which gives x = o + 56.\n5. Substitute o = v + 7 to x, which gives x = v + 63.\n6. Substitute v = 15 to x, which gives x = 78.\n\nThus, the final answer is x = \\boxed{78}.",
"index": 19076,
"question": "Consider a system of variables where each variable is defined as follows: x = h + 3; w = b + 20; o = v + 7; l = n + 8; k = o + 8; p = v + 17; h = f + 17; s = p + 9; n = s + 4; v = 15; f = c + 8; c = k + 20; b = l + 3. If v = 15, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 10", "f": "d + 6", "a": "f + 17", "y": "a + 16", "b": "y + 8", "l": "b + 3", "x": "h + 14", "c": "x + 18", "m": "c + 17", "e": "m + 16", "s": "e + 5", "k": "s + 15", "h": 4}, "premises": {"h": 4}, "target": "l"}, "answer": {"steps": [["b", "y + 8", "y + 11"], ["y", "a + 16", "a + 27"], ["a", "f + 17", "f + 44"], ["f", "d + 6", "d + 50"], ["d", "h + 10", "h + 60"], ["h", 4, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"h": 4}, "is_reverse": true}} | 19,077 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 17; e = m + 16; d = h + 10; y = a + 16; b = y + 8; c = x + 18; l = b + 3; f = d + 6; k = s + 15; h = 4; x = h + 14; m = c + 17; s = e + 5. If h = 4, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 8 to l, which gives l = y + 11.\n2. Substitute y = a + 16 to l, which gives l = a + 27.\n3. Substitute a = f + 17 to l, which gives l = f + 44.\n4. Substitute f = d + 6 to l, which gives l = d + 50.\n5. Substitute d = h + 10 to l, which gives l = h + 60.\n6. Substitute h = 4 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 19077,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 17; e = m + 16; d = h + 10; y = a + 16; b = y + 8; c = x + 18; l = b + 3; f = d + 6; k = s + 15; h = 4; x = h + 14; m = c + 17; s = e + 5. If h = 4, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 14", "a": "s + 20", "q": "a + 19", "h": "q + 15", "m": "h + 8", "v": "m + 1", "d": "t + 3", "b": "d + 10", "c": "b + 12", "w": "c + 11", "e": "w + 11", "k": "e + 2", "t": 15}, "premises": {"t": 15}, "target": "v"}, "answer": {"steps": [["m", "h + 8", "h + 9"], ["h", "q + 15", "q + 24"], ["q", "a + 19", "a + 43"], ["a", "s + 20", "s + 63"], ["s", "t + 14", "t + 77"], ["t", 15, "92"]], "target_var_name": "v", "target_value": 92, "value_dict": {"t": 15}, "is_reverse": true}} | 19,078 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = 15; m = h + 8; q = a + 19; k = e + 2; s = t + 14; w = c + 11; v = m + 1; a = s + 20; d = t + 3; c = b + 12; b = d + 10; h = q + 15; e = w + 11. If t = 15, what is the resulting 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 m = h + 8 to v, which gives v = h + 9.\n2. Substitute h = q + 15 to v, which gives v = q + 24.\n3. Substitute q = a + 19 to v, which gives v = a + 43.\n4. Substitute a = s + 20 to v, which gives v = s + 63.\n5. Substitute s = t + 14 to v, which gives v = t + 77.\n6. Substitute t = 15 to v, which gives v = 92.\n\nThus, the final answer is v = \\boxed{92}.",
"index": 19078,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = 15; m = h + 8; q = a + 19; k = e + 2; s = t + 14; w = c + 11; v = m + 1; a = s + 20; d = t + 3; c = b + 12; b = d + 10; h = q + 15; e = w + 11. If t = 15, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 20", "h": "i + 7", "l": "h + 20", "j": "l + 2", "o": "j + 9", "b": "o + 15", "d": "y + 9", "z": "d + 15", "e": "z + 18", "g": "e + 14", "x": "g + 5", "k": "x + 17", "y": 3}, "premises": {"y": 3}, "target": "b"}, "answer": {"steps": [["o", "j + 9", "j + 24"], ["j", "l + 2", "l + 26"], ["l", "h + 20", "h + 46"], ["h", "i + 7", "i + 53"], ["i", "y + 20", "y + 73"], ["y", 3, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"y": 3}, "is_reverse": true}} | 19,079 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = e + 14; h = i + 7; e = z + 18; l = h + 20; o = j + 9; j = l + 2; d = y + 9; k = x + 17; z = d + 15; y = 3; b = o + 15; x = g + 5; i = y + 20. If y = 3, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 9 to b, which gives b = j + 24.\n2. Substitute j = l + 2 to b, which gives b = l + 26.\n3. Substitute l = h + 20 to b, which gives b = h + 46.\n4. Substitute h = i + 7 to b, which gives b = i + 53.\n5. Substitute i = y + 20 to b, which gives b = y + 73.\n6. Substitute y = 3 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 19079,
"question": "Consider a system of variables where each variable is defined as follows: g = e + 14; h = i + 7; e = z + 18; l = h + 20; o = j + 9; j = l + 2; d = y + 9; k = x + 17; z = d + 15; y = 3; b = o + 15; x = g + 5; i = y + 20. If y = 3, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"r": "q + 17", "j": "r + 6", "h": "j + 11", "x": "h + 8", "v": "x + 13", "t": "v + 19", "d": "q + 12", "m": "d + 16", "k": "m + 9", "b": "k + 7", "y": "b + 11", "e": "y + 15", "q": 9}, "premises": {"q": 9}, "target": "t"}, "answer": {"steps": [["v", "x + 13", "x + 32"], ["x", "h + 8", "h + 40"], ["h", "j + 11", "j + 51"], ["j", "r + 6", "r + 57"], ["r", "q + 17", "q + 74"], ["q", 9, "83"]], "target_var_name": "t", "target_value": 83, "value_dict": {"q": 9}, "is_reverse": true}} | 19,080 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = b + 11; x = h + 8; r = q + 17; b = k + 7; j = r + 6; t = v + 19; d = q + 12; e = y + 15; k = m + 9; m = d + 16; h = j + 11; q = 9; v = x + 13. If q = 9, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 13 to t, which gives t = x + 32.\n2. Substitute x = h + 8 to t, which gives t = h + 40.\n3. Substitute h = j + 11 to t, which gives t = j + 51.\n4. Substitute j = r + 6 to t, which gives t = r + 57.\n5. Substitute r = q + 17 to t, which gives t = q + 74.\n6. Substitute q = 9 to t, which gives t = 83.\n\nThus, the final answer is t = \\boxed{83}.",
"index": 19080,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = b + 11; x = h + 8; r = q + 17; b = k + 7; j = r + 6; t = v + 19; d = q + 12; e = y + 15; k = m + 9; m = d + 16; h = j + 11; q = 9; v = x + 13. If q = 9, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 7", "r": "y + 17", "x": "r + 6", "e": "x + 8", "w": "e + 3", "l": "w + 14", "q": "j + 9", "z": "q + 16", "p": "z + 4", "c": "p + 7", "k": "c + 20", "t": "k + 11", "j": 10}, "premises": {"j": 10}, "target": "l"}, "answer": {"steps": [["w", "e + 3", "e + 17"], ["e", "x + 8", "x + 25"], ["x", "r + 6", "r + 31"], ["r", "y + 17", "y + 48"], ["y", "j + 7", "j + 55"], ["j", 10, "65"]], "target_var_name": "l", "target_value": 65, "value_dict": {"j": 10}, "is_reverse": true}} | 19,081 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = k + 11; c = p + 7; j = 10; q = j + 9; p = z + 4; z = q + 16; e = x + 8; x = r + 6; k = c + 20; w = e + 3; y = j + 7; r = y + 17; l = w + 14. Given that j = 10, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 3 to l, which gives l = e + 17.\n2. Substitute e = x + 8 to l, which gives l = x + 25.\n3. Substitute x = r + 6 to l, which gives l = r + 31.\n4. Substitute r = y + 17 to l, which gives l = y + 48.\n5. Substitute y = j + 7 to l, which gives l = j + 55.\n6. Substitute j = 10 to l, which gives l = 65.\n\nThus, the final answer is l = \\boxed{65}.",
"index": 19081,
"question": "Suppose a collection of variables is related by the following definitions: t = k + 11; c = p + 7; j = 10; q = j + 9; p = z + 4; z = q + 16; e = x + 8; x = r + 6; k = c + 20; w = e + 3; y = j + 7; r = y + 17; l = w + 14. Given that j = 10, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 12", "i": "p + 2", "s": "i + 8", "m": "s + 18", "y": "m + 17", "f": "y + 4", "c": "h + 16", "u": "c + 10", "b": "u + 9", "k": "b + 10", "r": "k + 9", "l": "r + 10", "h": 18}, "premises": {"h": 18}, "target": "f"}, "answer": {"steps": [["y", "m + 17", "m + 21"], ["m", "s + 18", "s + 39"], ["s", "i + 8", "i + 47"], ["i", "p + 2", "p + 49"], ["p", "h + 12", "h + 61"], ["h", 18, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"h": 18}, "is_reverse": true}} | 19,082 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = s + 18; c = h + 16; k = b + 10; p = h + 12; b = u + 9; h = 18; s = i + 8; f = y + 4; u = c + 10; l = r + 10; y = m + 17; i = p + 2; r = k + 9. If h = 18, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 17 to f, which gives f = m + 21.\n2. Substitute m = s + 18 to f, which gives f = s + 39.\n3. Substitute s = i + 8 to f, which gives f = i + 47.\n4. Substitute i = p + 2 to f, which gives f = p + 49.\n5. Substitute p = h + 12 to f, which gives f = h + 61.\n6. Substitute h = 18 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 19082,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = s + 18; c = h + 16; k = b + 10; p = h + 12; b = u + 9; h = 18; s = i + 8; f = y + 4; u = c + 10; l = r + 10; y = m + 17; i = p + 2; r = k + 9. If h = 18, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 11", "b": "w + 16", "f": "b + 8", "v": "f + 3", "m": "v + 14", "q": "m + 13", "n": "j + 18", "a": "n + 11", "g": "a + 14", "h": "g + 15", "u": "h + 8", "o": "u + 5", "j": 5}, "premises": {"j": 5}, "target": "q"}, "answer": {"steps": [["m", "v + 14", "v + 27"], ["v", "f + 3", "f + 30"], ["f", "b + 8", "b + 38"], ["b", "w + 16", "w + 54"], ["w", "j + 11", "j + 65"], ["j", 5, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"j": 5}, "is_reverse": true}} | 19,083 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 14; o = u + 5; n = j + 18; h = g + 15; w = j + 11; v = f + 3; q = m + 13; j = 5; a = n + 11; b = w + 16; u = h + 8; g = a + 14; f = b + 8. If j = 5, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 14 to q, which gives q = v + 27.\n2. Substitute v = f + 3 to q, which gives q = f + 30.\n3. Substitute f = b + 8 to q, which gives q = b + 38.\n4. Substitute b = w + 16 to q, which gives q = w + 54.\n5. Substitute w = j + 11 to q, which gives q = j + 65.\n6. Substitute j = 5 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 19083,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 14; o = u + 5; n = j + 18; h = g + 15; w = j + 11; v = f + 3; q = m + 13; j = 5; a = n + 11; b = w + 16; u = h + 8; g = a + 14; f = b + 8. If j = 5, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 15", "z": "b + 1", "m": "z + 18", "p": "m + 14", "u": "p + 5", "s": "u + 11", "x": "n + 18", "c": "x + 11", "i": "c + 1", "t": "i + 1", "g": "t + 18", "y": "g + 20", "n": 13}, "premises": {"n": 13}, "target": "s"}, "answer": {"steps": [["u", "p + 5", "p + 16"], ["p", "m + 14", "m + 30"], ["m", "z + 18", "z + 48"], ["z", "b + 1", "b + 49"], ["b", "n + 15", "n + 64"], ["n", 13, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"n": 13}, "is_reverse": true}} | 19,084 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = c + 1; m = z + 18; u = p + 5; c = x + 11; b = n + 15; t = i + 1; g = t + 18; x = n + 18; p = m + 14; n = 13; y = g + 20; s = u + 11; z = b + 1. If n = 13, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 5 to s, which gives s = p + 16.\n2. Substitute p = m + 14 to s, which gives s = m + 30.\n3. Substitute m = z + 18 to s, which gives s = z + 48.\n4. Substitute z = b + 1 to s, which gives s = b + 49.\n5. Substitute b = n + 15 to s, which gives s = n + 64.\n6. Substitute n = 13 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 19084,
"question": "Consider a system of variables where each variable is defined as follows: i = c + 1; m = z + 18; u = p + 5; c = x + 11; b = n + 15; t = i + 1; g = t + 18; x = n + 18; p = m + 14; n = 13; y = g + 20; s = u + 11; z = b + 1. If n = 13, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"i": "r + 18", "n": "i + 16", "u": "n + 10", "m": "u + 4", "y": "m + 5", "v": "y + 15", "h": "r + 2", "t": "h + 17", "g": "t + 16", "d": "g + 13", "b": "d + 16", "w": "b + 3", "r": 11}, "premises": {"r": 11}, "target": "v"}, "answer": {"steps": [["y", "m + 5", "m + 20"], ["m", "u + 4", "u + 24"], ["u", "n + 10", "n + 34"], ["n", "i + 16", "i + 50"], ["i", "r + 18", "r + 68"], ["r", 11, "79"]], "target_var_name": "v", "target_value": 79, "value_dict": {"r": 11}, "is_reverse": true}} | 19,085 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = y + 15; m = u + 4; h = r + 2; t = h + 17; i = r + 18; g = t + 16; n = i + 16; w = b + 3; d = g + 13; u = n + 10; r = 11; y = m + 5; b = d + 16. If r = 11, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 5 to v, which gives v = m + 20.\n2. Substitute m = u + 4 to v, which gives v = u + 24.\n3. Substitute u = n + 10 to v, which gives v = n + 34.\n4. Substitute n = i + 16 to v, which gives v = i + 50.\n5. Substitute i = r + 18 to v, which gives v = r + 68.\n6. Substitute r = 11 to v, which gives v = 79.\n\nThus, the final answer is v = \\boxed{79}.",
"index": 19085,
"question": "Consider a system of variables where each variable is defined as follows: v = y + 15; m = u + 4; h = r + 2; t = h + 17; i = r + 18; g = t + 16; n = i + 16; w = b + 3; d = g + 13; u = n + 10; r = 11; y = m + 5; b = d + 16. If r = 11, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 10", "u": "h + 19", "y": "u + 9", "v": "y + 10", "o": "v + 18", "c": "o + 12", "l": "z + 12", "x": "l + 3", "n": "x + 9", "d": "n + 18", "g": "d + 13", "p": "g + 14", "z": 20}, "premises": {"z": 20}, "target": "c"}, "answer": {"steps": [["o", "v + 18", "v + 30"], ["v", "y + 10", "y + 40"], ["y", "u + 9", "u + 49"], ["u", "h + 19", "h + 68"], ["h", "z + 10", "z + 78"], ["z", 20, "98"]], "target_var_name": "c", "target_value": 98, "value_dict": {"z": 20}, "is_reverse": true}} | 19,086 | 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 = u + 9; u = h + 19; d = n + 18; v = y + 10; c = o + 12; o = v + 18; l = z + 12; p = g + 14; h = z + 10; z = 20; g = d + 13; x = l + 3; n = x + 9. If z = 20, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 18 to c, which gives c = v + 30.\n2. Substitute v = y + 10 to c, which gives c = y + 40.\n3. Substitute y = u + 9 to c, which gives c = u + 49.\n4. Substitute u = h + 19 to c, which gives c = h + 68.\n5. Substitute h = z + 10 to c, which gives c = z + 78.\n6. Substitute z = 20 to c, which gives c = 98.\n\nThus, the final answer is c = \\boxed{98}.",
"index": 19086,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 9; u = h + 19; d = n + 18; v = y + 10; c = o + 12; o = v + 18; l = z + 12; p = g + 14; h = z + 10; z = 20; g = d + 13; x = l + 3; n = x + 9. If z = 20, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 3", "n": "j + 8", "z": "n + 4", "h": "z + 17", "o": "h + 17", "d": "o + 5", "g": "k + 18", "a": "g + 3", "f": "a + 8", "w": "f + 20", "t": "w + 10", "l": "t + 4", "k": 20}, "premises": {"k": 20}, "target": "d"}, "answer": {"steps": [["o", "h + 17", "h + 22"], ["h", "z + 17", "z + 39"], ["z", "n + 4", "n + 43"], ["n", "j + 8", "j + 51"], ["j", "k + 3", "k + 54"], ["k", 20, "74"]], "target_var_name": "d", "target_value": 74, "value_dict": {"k": 20}, "is_reverse": true}} | 19,087 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 10; a = g + 3; w = f + 20; g = k + 18; o = h + 17; l = t + 4; j = k + 3; z = n + 4; h = z + 17; k = 20; d = o + 5; f = a + 8; n = j + 8. Given that k = 20, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 17 to d, which gives d = h + 22.\n2. Substitute h = z + 17 to d, which gives d = z + 39.\n3. Substitute z = n + 4 to d, which gives d = n + 43.\n4. Substitute n = j + 8 to d, which gives d = j + 51.\n5. Substitute j = k + 3 to d, which gives d = k + 54.\n6. Substitute k = 20 to d, which gives d = 74.\n\nThus, the final answer is d = \\boxed{74}.",
"index": 19087,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 10; a = g + 3; w = f + 20; g = k + 18; o = h + 17; l = t + 4; j = k + 3; z = n + 4; h = z + 17; k = 20; d = o + 5; f = a + 8; n = j + 8. Given that k = 20, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"a": "s + 17", "j": "a + 2", "o": "j + 15", "u": "o + 4", "k": "u + 9", "f": "k + 19", "z": "s + 4", "b": "z + 14", "w": "b + 1", "q": "w + 12", "e": "q + 8", "v": "e + 10", "s": 18}, "premises": {"s": 18}, "target": "f"}, "answer": {"steps": [["k", "u + 9", "u + 28"], ["u", "o + 4", "o + 32"], ["o", "j + 15", "j + 47"], ["j", "a + 2", "a + 49"], ["a", "s + 17", "s + 66"], ["s", 18, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"s": 18}, "is_reverse": true}} | 19,088 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = k + 19; a = s + 17; s = 18; o = j + 15; k = u + 9; b = z + 14; v = e + 10; z = s + 4; w = b + 1; e = q + 8; u = o + 4; j = a + 2; q = w + 12. Given that s = 18, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 9 to f, which gives f = u + 28.\n2. Substitute u = o + 4 to f, which gives f = o + 32.\n3. Substitute o = j + 15 to f, which gives f = j + 47.\n4. Substitute j = a + 2 to f, which gives f = a + 49.\n5. Substitute a = s + 17 to f, which gives f = s + 66.\n6. Substitute s = 18 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 19088,
"question": "Suppose a collection of variables is related by the following definitions: f = k + 19; a = s + 17; s = 18; o = j + 15; k = u + 9; b = z + 14; v = e + 10; z = s + 4; w = b + 1; e = q + 8; u = o + 4; j = a + 2; q = w + 12. Given that s = 18, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 11", "n": "v + 18", "w": "n + 8", "j": "w + 10", "d": "j + 17", "r": "d + 2", "u": "b + 7", "e": "u + 10", "m": "e + 16", "q": "m + 5", "g": "q + 2", "x": "g + 2", "b": 5}, "premises": {"b": 5}, "target": "r"}, "answer": {"steps": [["d", "j + 17", "j + 19"], ["j", "w + 10", "w + 29"], ["w", "n + 8", "n + 37"], ["n", "v + 18", "v + 55"], ["v", "b + 11", "b + 66"], ["b", 5, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"b": 5}, "is_reverse": true}} | 19,089 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = 5; r = d + 2; d = j + 17; w = n + 8; m = e + 16; e = u + 10; u = b + 7; v = b + 11; n = v + 18; q = m + 5; g = q + 2; j = w + 10; x = g + 2. If b = 5, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 17 to r, which gives r = j + 19.\n2. Substitute j = w + 10 to r, which gives r = w + 29.\n3. Substitute w = n + 8 to r, which gives r = n + 37.\n4. Substitute n = v + 18 to r, which gives r = v + 55.\n5. Substitute v = b + 11 to r, which gives r = b + 66.\n6. Substitute b = 5 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 19089,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = 5; r = d + 2; d = j + 17; w = n + 8; m = e + 16; e = u + 10; u = b + 7; v = b + 11; n = v + 18; q = m + 5; g = q + 2; j = w + 10; x = g + 2. If b = 5, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 1", "w": "q + 14", "l": "w + 14", "f": "l + 9", "z": "f + 10", "n": "z + 15", "h": "a + 9", "g": "h + 9", "d": "g + 20", "e": "d + 17", "y": "e + 3", "s": "y + 8", "a": 20}, "premises": {"a": 20}, "target": "n"}, "answer": {"steps": [["z", "f + 10", "f + 25"], ["f", "l + 9", "l + 34"], ["l", "w + 14", "w + 48"], ["w", "q + 14", "q + 62"], ["q", "a + 1", "a + 63"], ["a", 20, "83"]], "target_var_name": "n", "target_value": 83, "value_dict": {"a": 20}, "is_reverse": true}} | 19,090 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = l + 9; e = d + 17; n = z + 15; a = 20; h = a + 9; y = e + 3; l = w + 14; g = h + 9; q = a + 1; z = f + 10; s = y + 8; d = g + 20; w = q + 14. Given that a = 20, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 10 to n, which gives n = f + 25.\n2. Substitute f = l + 9 to n, which gives n = l + 34.\n3. Substitute l = w + 14 to n, which gives n = w + 48.\n4. Substitute w = q + 14 to n, which gives n = q + 62.\n5. Substitute q = a + 1 to n, which gives n = a + 63.\n6. Substitute a = 20 to n, which gives n = 83.\n\nThus, the final answer is n = \\boxed{83}.",
"index": 19090,
"question": "Suppose a collection of variables is related by the following definitions: f = l + 9; e = d + 17; n = z + 15; a = 20; h = a + 9; y = e + 3; l = w + 14; g = h + 9; q = a + 1; z = f + 10; s = y + 8; d = g + 20; w = q + 14. Given that a = 20, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 12", "i": "k + 9", "w": "i + 8", "a": "w + 15", "s": "a + 5", "j": "s + 9", "v": "q + 3", "p": "v + 19", "g": "p + 6", "f": "g + 4", "u": "f + 13", "t": "u + 9", "q": 7}, "premises": {"q": 7}, "target": "j"}, "answer": {"steps": [["s", "a + 5", "a + 14"], ["a", "w + 15", "w + 29"], ["w", "i + 8", "i + 37"], ["i", "k + 9", "k + 46"], ["k", "q + 12", "q + 58"], ["q", 7, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"q": 7}, "is_reverse": true}} | 19,091 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = q + 12; t = u + 9; u = f + 13; p = v + 19; f = g + 4; q = 7; w = i + 8; j = s + 9; g = p + 6; v = q + 3; s = a + 5; a = w + 15; i = k + 9. Given that q = 7, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 5 to j, which gives j = a + 14.\n2. Substitute a = w + 15 to j, which gives j = w + 29.\n3. Substitute w = i + 8 to j, which gives j = i + 37.\n4. Substitute i = k + 9 to j, which gives j = k + 46.\n5. Substitute k = q + 12 to j, which gives j = q + 58.\n6. Substitute q = 7 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 19091,
"question": "Suppose a collection of variables is related by the following definitions: k = q + 12; t = u + 9; u = f + 13; p = v + 19; f = g + 4; q = 7; w = i + 8; j = s + 9; g = p + 6; v = q + 3; s = a + 5; a = w + 15; i = k + 9. Given that q = 7, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 1", "m": "p + 8", "j": "m + 13", "k": "j + 10", "r": "k + 5", "z": "r + 8", "x": "s + 5", "u": "x + 13", "n": "u + 12", "h": "n + 6", "y": "h + 7", "v": "y + 7", "s": 19}, "premises": {"s": 19}, "target": "z"}, "answer": {"steps": [["r", "k + 5", "k + 13"], ["k", "j + 10", "j + 23"], ["j", "m + 13", "m + 36"], ["m", "p + 8", "p + 44"], ["p", "s + 1", "s + 45"], ["s", 19, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"s": 19}, "is_reverse": true}} | 19,092 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = x + 13; k = j + 10; y = h + 7; v = y + 7; n = u + 12; z = r + 8; r = k + 5; m = p + 8; p = s + 1; h = n + 6; j = m + 13; s = 19; x = s + 5. Given that s = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 5 to z, which gives z = k + 13.\n2. Substitute k = j + 10 to z, which gives z = j + 23.\n3. Substitute j = m + 13 to z, which gives z = m + 36.\n4. Substitute m = p + 8 to z, which gives z = p + 44.\n5. Substitute p = s + 1 to z, which gives z = s + 45.\n6. Substitute s = 19 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 19092,
"question": "Suppose a collection of variables is related by the following definitions: u = x + 13; k = j + 10; y = h + 7; v = y + 7; n = u + 12; z = r + 8; r = k + 5; m = p + 8; p = s + 1; h = n + 6; j = m + 13; s = 19; x = s + 5. Given that s = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"w": "o + 1", "d": "w + 10", "b": "d + 5", "z": "b + 6", "p": "z + 8", "u": "p + 11", "a": "o + 15", "e": "a + 3", "g": "e + 17", "r": "g + 12", "j": "r + 1", "f": "j + 17", "o": 6}, "premises": {"o": 6}, "target": "u"}, "answer": {"steps": [["p", "z + 8", "z + 19"], ["z", "b + 6", "b + 25"], ["b", "d + 5", "d + 30"], ["d", "w + 10", "w + 40"], ["w", "o + 1", "o + 41"], ["o", 6, "47"]], "target_var_name": "u", "target_value": 47, "value_dict": {"o": 6}, "is_reverse": true}} | 19,093 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = j + 17; d = w + 10; j = r + 1; g = e + 17; a = o + 15; p = z + 8; w = o + 1; e = a + 3; o = 6; b = d + 5; u = p + 11; r = g + 12; z = b + 6. If o = 6, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 8 to u, which gives u = z + 19.\n2. Substitute z = b + 6 to u, which gives u = b + 25.\n3. Substitute b = d + 5 to u, which gives u = d + 30.\n4. Substitute d = w + 10 to u, which gives u = w + 40.\n5. Substitute w = o + 1 to u, which gives u = o + 41.\n6. Substitute o = 6 to u, which gives u = 47.\n\nThus, the final answer is u = \\boxed{47}.",
"index": 19093,
"question": "Consider a system of variables where each variable is defined as follows: f = j + 17; d = w + 10; j = r + 1; g = e + 17; a = o + 15; p = z + 8; w = o + 1; e = a + 3; o = 6; b = d + 5; u = p + 11; r = g + 12; z = b + 6. If o = 6, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 4", "a": "x + 13", "g": "a + 17", "k": "g + 11", "o": "k + 11", "y": "o + 9", "t": "l + 1", "b": "t + 6", "n": "b + 7", "q": "n + 6", "c": "q + 20", "j": "c + 10", "l": 20}, "premises": {"l": 20}, "target": "y"}, "answer": {"steps": [["o", "k + 11", "k + 20"], ["k", "g + 11", "g + 31"], ["g", "a + 17", "a + 48"], ["a", "x + 13", "x + 61"], ["x", "l + 4", "l + 65"], ["l", 20, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"l": 20}, "is_reverse": true}} | 19,094 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = n + 6; j = c + 10; k = g + 11; x = l + 4; t = l + 1; y = o + 9; g = a + 17; n = b + 7; b = t + 6; a = x + 13; o = k + 11; c = q + 20; l = 20. If l = 20, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 11 to y, which gives y = k + 20.\n2. Substitute k = g + 11 to y, which gives y = g + 31.\n3. Substitute g = a + 17 to y, which gives y = a + 48.\n4. Substitute a = x + 13 to y, which gives y = x + 61.\n5. Substitute x = l + 4 to y, which gives y = l + 65.\n6. Substitute l = 20 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 19094,
"question": "Consider a system of variables where each variable is defined as follows: q = n + 6; j = c + 10; k = g + 11; x = l + 4; t = l + 1; y = o + 9; g = a + 17; n = b + 7; b = t + 6; a = x + 13; o = k + 11; c = q + 20; l = 20. If l = 20, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 7", "o": "x + 11", "g": "o + 16", "a": "g + 15", "t": "a + 6", "i": "t + 1", "d": "e + 9", "n": "d + 8", "l": "n + 2", "w": "l + 7", "q": "w + 7", "f": "q + 7", "e": 17}, "premises": {"e": 17}, "target": "i"}, "answer": {"steps": [["t", "a + 6", "a + 7"], ["a", "g + 15", "g + 22"], ["g", "o + 16", "o + 38"], ["o", "x + 11", "x + 49"], ["x", "e + 7", "e + 56"], ["e", 17, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"e": 17}, "is_reverse": true}} | 19,095 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 7; n = d + 8; a = g + 15; w = l + 7; i = t + 1; o = x + 11; f = q + 7; e = 17; d = e + 9; t = a + 6; g = o + 16; x = e + 7; l = n + 2. If e = 17, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 6 to i, which gives i = a + 7.\n2. Substitute a = g + 15 to i, which gives i = g + 22.\n3. Substitute g = o + 16 to i, which gives i = o + 38.\n4. Substitute o = x + 11 to i, which gives i = x + 49.\n5. Substitute x = e + 7 to i, which gives i = e + 56.\n6. Substitute e = 17 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 19095,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 7; n = d + 8; a = g + 15; w = l + 7; i = t + 1; o = x + 11; f = q + 7; e = 17; d = e + 9; t = a + 6; g = o + 16; x = e + 7; l = n + 2. If e = 17, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 11", "s": "e + 19", "i": "s + 17", "h": "i + 14", "g": "h + 8", "x": "g + 16", "c": "z + 9", "d": "c + 5", "f": "d + 4", "r": "f + 6", "m": "r + 2", "n": "m + 19", "z": 5}, "premises": {"z": 5}, "target": "x"}, "answer": {"steps": [["g", "h + 8", "h + 24"], ["h", "i + 14", "i + 38"], ["i", "s + 17", "s + 55"], ["s", "e + 19", "e + 74"], ["e", "z + 11", "z + 85"], ["z", 5, "90"]], "target_var_name": "x", "target_value": 90, "value_dict": {"z": 5}, "is_reverse": true}} | 19,096 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = 5; r = f + 6; i = s + 17; n = m + 19; f = d + 4; s = e + 19; h = i + 14; c = z + 9; x = g + 16; e = z + 11; g = h + 8; m = r + 2; d = c + 5. Given that z = 5, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 8 to x, which gives x = h + 24.\n2. Substitute h = i + 14 to x, which gives x = i + 38.\n3. Substitute i = s + 17 to x, which gives x = s + 55.\n4. Substitute s = e + 19 to x, which gives x = e + 74.\n5. Substitute e = z + 11 to x, which gives x = z + 85.\n6. Substitute z = 5 to x, which gives x = 90.\n\nThus, the final answer is x = \\boxed{90}.",
"index": 19096,
"question": "Suppose a collection of variables is related by the following definitions: z = 5; r = f + 6; i = s + 17; n = m + 19; f = d + 4; s = e + 19; h = i + 14; c = z + 9; x = g + 16; e = z + 11; g = h + 8; m = r + 2; d = c + 5. Given that z = 5, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 19", "g": "s + 8", "q": "g + 12", "h": "q + 16", "d": "h + 3", "c": "d + 8", "n": "l + 17", "b": "n + 5", "w": "b + 4", "j": "w + 4", "p": "j + 8", "a": "p + 8", "l": 14}, "premises": {"l": 14}, "target": "c"}, "answer": {"steps": [["d", "h + 3", "h + 11"], ["h", "q + 16", "q + 27"], ["q", "g + 12", "g + 39"], ["g", "s + 8", "s + 47"], ["s", "l + 19", "l + 66"], ["l", 14, "80"]], "target_var_name": "c", "target_value": 80, "value_dict": {"l": 14}, "is_reverse": true}} | 19,097 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = n + 5; n = l + 17; q = g + 12; s = l + 19; g = s + 8; p = j + 8; h = q + 16; w = b + 4; j = w + 4; l = 14; d = h + 3; c = d + 8; a = p + 8. If l = 14, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 3 to c, which gives c = h + 11.\n2. Substitute h = q + 16 to c, which gives c = q + 27.\n3. Substitute q = g + 12 to c, which gives c = g + 39.\n4. Substitute g = s + 8 to c, which gives c = s + 47.\n5. Substitute s = l + 19 to c, which gives c = l + 66.\n6. Substitute l = 14 to c, which gives c = 80.\n\nThus, the final answer is c = \\boxed{80}.",
"index": 19097,
"question": "Consider a system of variables where each variable is defined as follows: b = n + 5; n = l + 17; q = g + 12; s = l + 19; g = s + 8; p = j + 8; h = q + 16; w = b + 4; j = w + 4; l = 14; d = h + 3; c = d + 8; a = p + 8. If l = 14, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 18", "o": "e + 9", "k": "o + 20", "r": "k + 13", "m": "r + 1", "f": "m + 1", "q": "z + 3", "w": "q + 7", "s": "w + 13", "d": "s + 1", "b": "d + 20", "g": "b + 1", "z": 1}, "premises": {"z": 1}, "target": "f"}, "answer": {"steps": [["m", "r + 1", "r + 2"], ["r", "k + 13", "k + 15"], ["k", "o + 20", "o + 35"], ["o", "e + 9", "e + 44"], ["e", "z + 18", "z + 62"], ["z", 1, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"z": 1}, "is_reverse": true}} | 19,098 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = d + 20; w = q + 7; z = 1; f = m + 1; g = b + 1; s = w + 13; m = r + 1; o = e + 9; e = z + 18; k = o + 20; d = s + 1; q = z + 3; r = k + 13. If z = 1, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 1 to f, which gives f = r + 2.\n2. Substitute r = k + 13 to f, which gives f = k + 15.\n3. Substitute k = o + 20 to f, which gives f = o + 35.\n4. Substitute o = e + 9 to f, which gives f = e + 44.\n5. Substitute e = z + 18 to f, which gives f = z + 62.\n6. Substitute z = 1 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 19098,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = d + 20; w = q + 7; z = 1; f = m + 1; g = b + 1; s = w + 13; m = r + 1; o = e + 9; e = z + 18; k = o + 20; d = s + 1; q = z + 3; r = k + 13. If z = 1, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 14", "d": "z + 17", "q": "d + 1", "w": "q + 13", "x": "w + 4", "f": "x + 2", "l": "k + 2", "g": "l + 1", "e": "g + 20", "t": "e + 17", "a": "t + 11", "y": "a + 16", "k": 7}, "premises": {"k": 7}, "target": "f"}, "answer": {"steps": [["x", "w + 4", "w + 6"], ["w", "q + 13", "q + 19"], ["q", "d + 1", "d + 20"], ["d", "z + 17", "z + 37"], ["z", "k + 14", "k + 51"], ["k", 7, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"k": 7}, "is_reverse": true}} | 19,099 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = e + 17; d = z + 17; z = k + 14; f = x + 2; g = l + 1; l = k + 2; e = g + 20; a = t + 11; x = w + 4; k = 7; w = q + 13; q = d + 1; y = a + 16. If k = 7, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 4 to f, which gives f = w + 6.\n2. Substitute w = q + 13 to f, which gives f = q + 19.\n3. Substitute q = d + 1 to f, which gives f = d + 20.\n4. Substitute d = z + 17 to f, which gives f = z + 37.\n5. Substitute z = k + 14 to f, which gives f = k + 51.\n6. Substitute k = 7 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 19099,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = e + 17; d = z + 17; z = k + 14; f = x + 2; g = l + 1; l = k + 2; e = g + 20; a = t + 11; x = w + 4; k = 7; w = q + 13; q = d + 1; y = a + 16. If k = 7, what is the resulting value of f?",
"split": "train"
} |
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