meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"i": "r + 2", "n": "i + 10", "k": "n + 19", "l": "k + 1", "c": "l + 10", "d": "c + 18", "t": "r + 16", "p": "t + 2", "b": "p + 6", "m": "b + 5", "j": "m + 12", "e": "j + 16", "r": 6}, "premises": {"r": 6}, "target": "d"}, "answer": {"steps": [["c", "l + 10", "l + 28"], ["l", "k + 1", "k + 29"], ["k", "n + 19", "n + 48"], ["n", "i + 10", "i + 58"], ["i", "r + 2", "r + 60"], ["r", 6, "66"]], "target_var_name": "d", "target_value": 66, "value_dict": {"r": 6}, "is_reverse": true}} | 15,300 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = r + 2; b = p + 6; n = i + 10; r = 6; j = m + 12; m = b + 5; k = n + 19; t = r + 16; c = l + 10; p = t + 2; e = j + 16; d = c + 18; l = k + 1. If r = 6, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 10 to d, which gives d = l + 28.\n2. Substitute l = k + 1 to d, which gives d = k + 29.\n3. Substitute k = n + 19 to d, which gives d = n + 48.\n4. Substitute n = i + 10 to d, which gives d = i + 58.\n5. Substitute i = r + 2 to d, which gives d = r + 60.\n6. Substitute r = 6 to d, which gives d = 66.\n\nThus, the final answer is d = \\boxed{66}.",
"index": 15300,
"question": "Consider a system of variables where each variable is defined as follows: i = r + 2; b = p + 6; n = i + 10; r = 6; j = m + 12; m = b + 5; k = n + 19; t = r + 16; c = l + 10; p = t + 2; e = j + 16; d = c + 18; l = k + 1. If r = 6, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 7", "i": "f + 11", "r": "i + 8", "y": "r + 2", "g": "y + 13", "k": "g + 14", "w": "j + 14", "n": "w + 2", "z": "n + 3", "u": "z + 18", "h": "u + 9", "d": "h + 17", "j": 17}, "premises": {"j": 17}, "target": "k"}, "answer": {"steps": [["g", "y + 13", "y + 27"], ["y", "r + 2", "r + 29"], ["r", "i + 8", "i + 37"], ["i", "f + 11", "f + 48"], ["f", "j + 7", "j + 55"], ["j", 17, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"j": 17}, "is_reverse": true}} | 15,301 | 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 = 17; w = j + 14; r = i + 8; i = f + 11; g = y + 13; h = u + 9; d = h + 17; n = w + 2; f = j + 7; k = g + 14; u = z + 18; z = n + 3; y = r + 2. If j = 17, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 13 to k, which gives k = y + 27.\n2. Substitute y = r + 2 to k, which gives k = r + 29.\n3. Substitute r = i + 8 to k, which gives k = i + 37.\n4. Substitute i = f + 11 to k, which gives k = f + 48.\n5. Substitute f = j + 7 to k, which gives k = j + 55.\n6. Substitute j = 17 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 15301,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 17; w = j + 14; r = i + 8; i = f + 11; g = y + 13; h = u + 9; d = h + 17; n = w + 2; f = j + 7; k = g + 14; u = z + 18; z = n + 3; y = r + 2. If j = 17, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 15", "f": "t + 11", "y": "f + 4", "m": "y + 12", "o": "m + 18", "l": "o + 9", "i": "w + 2", "p": "i + 15", "v": "p + 3", "b": "v + 2", "n": "b + 19", "r": "n + 12", "w": 3}, "premises": {"w": 3}, "target": "l"}, "answer": {"steps": [["o", "m + 18", "m + 27"], ["m", "y + 12", "y + 39"], ["y", "f + 4", "f + 43"], ["f", "t + 11", "t + 54"], ["t", "w + 15", "w + 69"], ["w", 3, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"w": 3}, "is_reverse": true}} | 15,302 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = p + 3; f = t + 11; p = i + 15; t = w + 15; n = b + 19; i = w + 2; r = n + 12; b = v + 2; m = y + 12; l = o + 9; w = 3; y = f + 4; o = m + 18. If w = 3, determine 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 o = m + 18 to l, which gives l = m + 27.\n2. Substitute m = y + 12 to l, which gives l = y + 39.\n3. Substitute y = f + 4 to l, which gives l = f + 43.\n4. Substitute f = t + 11 to l, which gives l = t + 54.\n5. Substitute t = w + 15 to l, which gives l = w + 69.\n6. Substitute w = 3 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 15302,
"question": "Consider a system of variables where each variable is defined as follows: v = p + 3; f = t + 11; p = i + 15; t = w + 15; n = b + 19; i = w + 2; r = n + 12; b = v + 2; m = y + 12; l = o + 9; w = 3; y = f + 4; o = m + 18. If w = 3, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"y": "a + 19", "u": "y + 9", "n": "u + 7", "w": "n + 7", "q": "w + 9", "s": "q + 12", "l": "a + 11", "d": "l + 5", "r": "d + 3", "e": "r + 10", "i": "e + 12", "b": "i + 18", "a": 13}, "premises": {"a": 13}, "target": "s"}, "answer": {"steps": [["q", "w + 9", "w + 21"], ["w", "n + 7", "n + 28"], ["n", "u + 7", "u + 35"], ["u", "y + 9", "y + 44"], ["y", "a + 19", "a + 63"], ["a", 13, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"a": 13}, "is_reverse": true}} | 15,303 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = d + 3; b = i + 18; s = q + 12; u = y + 9; q = w + 9; w = n + 7; l = a + 11; i = e + 12; y = a + 19; d = l + 5; e = r + 10; n = u + 7; a = 13. If a = 13, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 9 to s, which gives s = w + 21.\n2. Substitute w = n + 7 to s, which gives s = n + 28.\n3. Substitute n = u + 7 to s, which gives s = u + 35.\n4. Substitute u = y + 9 to s, which gives s = y + 44.\n5. Substitute y = a + 19 to s, which gives s = a + 63.\n6. Substitute a = 13 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 15303,
"question": "Consider a system of variables where each variable is defined as follows: r = d + 3; b = i + 18; s = q + 12; u = y + 9; q = w + 9; w = n + 7; l = a + 11; i = e + 12; y = a + 19; d = l + 5; e = r + 10; n = u + 7; a = 13. If a = 13, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 14", "k": "z + 13", "x": "k + 15", "q": "x + 20", "a": "q + 7", "h": "a + 6", "d": "u + 16", "p": "d + 16", "r": "p + 3", "m": "r + 5", "e": "m + 14", "j": "e + 13", "u": 15}, "premises": {"u": 15}, "target": "h"}, "answer": {"steps": [["a", "q + 7", "q + 13"], ["q", "x + 20", "x + 33"], ["x", "k + 15", "k + 48"], ["k", "z + 13", "z + 61"], ["z", "u + 14", "u + 75"], ["u", 15, "90"]], "target_var_name": "h", "target_value": 90, "value_dict": {"u": 15}, "is_reverse": true}} | 15,304 | 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 = r + 5; j = e + 13; u = 15; x = k + 15; r = p + 3; q = x + 20; p = d + 16; d = u + 16; e = m + 14; k = z + 13; z = u + 14; h = a + 6; a = q + 7. If u = 15, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 7 to h, which gives h = q + 13.\n2. Substitute q = x + 20 to h, which gives h = x + 33.\n3. Substitute x = k + 15 to h, which gives h = k + 48.\n4. Substitute k = z + 13 to h, which gives h = z + 61.\n5. Substitute z = u + 14 to h, which gives h = u + 75.\n6. Substitute u = 15 to h, which gives h = 90.\n\nThus, the final answer is h = \\boxed{90}.",
"index": 15304,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = r + 5; j = e + 13; u = 15; x = k + 15; r = p + 3; q = x + 20; p = d + 16; d = u + 16; e = m + 14; k = z + 13; z = u + 14; h = a + 6; a = q + 7. If u = 15, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"c": "j + 11", "f": "c + 17", "k": "f + 18", "x": "k + 7", "o": "x + 18", "s": "o + 20", "m": "j + 15", "q": "m + 15", "i": "q + 20", "v": "i + 16", "w": "v + 14", "r": "w + 19", "j": 9}, "premises": {"j": 9}, "target": "s"}, "answer": {"steps": [["o", "x + 18", "x + 38"], ["x", "k + 7", "k + 45"], ["k", "f + 18", "f + 63"], ["f", "c + 17", "c + 80"], ["c", "j + 11", "j + 91"], ["j", 9, "100"]], "target_var_name": "s", "target_value": 100, "value_dict": {"j": 9}, "is_reverse": true}} | 15,305 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 9; f = c + 17; i = q + 20; k = f + 18; x = k + 7; c = j + 11; o = x + 18; v = i + 16; m = j + 15; s = o + 20; q = m + 15; w = v + 14; r = w + 19. Given that j = 9, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 18 to s, which gives s = x + 38.\n2. Substitute x = k + 7 to s, which gives s = k + 45.\n3. Substitute k = f + 18 to s, which gives s = f + 63.\n4. Substitute f = c + 17 to s, which gives s = c + 80.\n5. Substitute c = j + 11 to s, which gives s = j + 91.\n6. Substitute j = 9 to s, which gives s = 100.\n\nThus, the final answer is s = \\boxed{100}.",
"index": 15305,
"question": "Suppose a collection of variables is related by the following definitions: j = 9; f = c + 17; i = q + 20; k = f + 18; x = k + 7; c = j + 11; o = x + 18; v = i + 16; m = j + 15; s = o + 20; q = m + 15; w = v + 14; r = w + 19. Given that j = 9, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"m": "z + 11", "h": "m + 17", "t": "h + 1", "p": "t + 9", "r": "p + 8", "c": "r + 6", "w": "z + 4", "a": "w + 12", "l": "a + 2", "i": "l + 15", "b": "i + 5", "f": "b + 5", "z": 2}, "premises": {"z": 2}, "target": "c"}, "answer": {"steps": [["r", "p + 8", "p + 14"], ["p", "t + 9", "t + 23"], ["t", "h + 1", "h + 24"], ["h", "m + 17", "m + 41"], ["m", "z + 11", "z + 52"], ["z", 2, "54"]], "target_var_name": "c", "target_value": 54, "value_dict": {"z": 2}, "is_reverse": true}} | 15,306 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = r + 6; t = h + 1; a = w + 12; z = 2; l = a + 2; b = i + 5; i = l + 15; p = t + 9; f = b + 5; h = m + 17; r = p + 8; w = z + 4; m = z + 11. If z = 2, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 8 to c, which gives c = p + 14.\n2. Substitute p = t + 9 to c, which gives c = t + 23.\n3. Substitute t = h + 1 to c, which gives c = h + 24.\n4. Substitute h = m + 17 to c, which gives c = m + 41.\n5. Substitute m = z + 11 to c, which gives c = z + 52.\n6. Substitute z = 2 to c, which gives c = 54.\n\nThus, the final answer is c = \\boxed{54}.",
"index": 15306,
"question": "Consider a system of variables where each variable is defined as follows: c = r + 6; t = h + 1; a = w + 12; z = 2; l = a + 2; b = i + 5; i = l + 15; p = t + 9; f = b + 5; h = m + 17; r = p + 8; w = z + 4; m = z + 11. If z = 2, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 19", "m": "w + 7", "h": "m + 15", "g": "h + 7", "t": "g + 13", "j": "t + 17", "z": "u + 13", "k": "z + 19", "v": "k + 19", "p": "v + 2", "i": "p + 12", "l": "i + 10", "u": 6}, "premises": {"u": 6}, "target": "j"}, "answer": {"steps": [["t", "g + 13", "g + 30"], ["g", "h + 7", "h + 37"], ["h", "m + 15", "m + 52"], ["m", "w + 7", "w + 59"], ["w", "u + 19", "u + 78"], ["u", 6, "84"]], "target_var_name": "j", "target_value": 84, "value_dict": {"u": 6}, "is_reverse": true}} | 15,307 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = k + 19; g = h + 7; w = u + 19; k = z + 19; z = u + 13; i = p + 12; h = m + 15; u = 6; j = t + 17; l = i + 10; m = w + 7; t = g + 13; p = v + 2. Given that u = 6, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 13 to j, which gives j = g + 30.\n2. Substitute g = h + 7 to j, which gives j = h + 37.\n3. Substitute h = m + 15 to j, which gives j = m + 52.\n4. Substitute m = w + 7 to j, which gives j = w + 59.\n5. Substitute w = u + 19 to j, which gives j = u + 78.\n6. Substitute u = 6 to j, which gives j = 84.\n\nThus, the final answer is j = \\boxed{84}.",
"index": 15307,
"question": "Suppose a collection of variables is related by the following definitions: v = k + 19; g = h + 7; w = u + 19; k = z + 19; z = u + 13; i = p + 12; h = m + 15; u = 6; j = t + 17; l = i + 10; m = w + 7; t = g + 13; p = v + 2. Given that u = 6, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 20", "m": "s + 3", "g": "m + 9", "n": "g + 6", "q": "n + 16", "z": "q + 15", "f": "p + 15", "x": "f + 11", "a": "x + 11", "d": "a + 4", "c": "d + 5", "w": "c + 19", "p": 17}, "premises": {"p": 17}, "target": "z"}, "answer": {"steps": [["q", "n + 16", "n + 31"], ["n", "g + 6", "g + 37"], ["g", "m + 9", "m + 46"], ["m", "s + 3", "s + 49"], ["s", "p + 20", "p + 69"], ["p", 17, "86"]], "target_var_name": "z", "target_value": 86, "value_dict": {"p": 17}, "is_reverse": true}} | 15,308 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = d + 5; n = g + 6; z = q + 15; m = s + 3; w = c + 19; x = f + 11; d = a + 4; s = p + 20; a = x + 11; f = p + 15; g = m + 9; q = n + 16; p = 17. Given that p = 17, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 16 to z, which gives z = n + 31.\n2. Substitute n = g + 6 to z, which gives z = g + 37.\n3. Substitute g = m + 9 to z, which gives z = m + 46.\n4. Substitute m = s + 3 to z, which gives z = s + 49.\n5. Substitute s = p + 20 to z, which gives z = p + 69.\n6. Substitute p = 17 to z, which gives z = 86.\n\nThus, the final answer is z = \\boxed{86}.",
"index": 15308,
"question": "Suppose a collection of variables is related by the following definitions: c = d + 5; n = g + 6; z = q + 15; m = s + 3; w = c + 19; x = f + 11; d = a + 4; s = p + 20; a = x + 11; f = p + 15; g = m + 9; q = n + 16; p = 17. Given that p = 17, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 3", "s": "c + 9", "g": "s + 17", "z": "g + 13", "v": "z + 10", "k": "v + 9", "n": "q + 18", "t": "n + 16", "l": "t + 14", "e": "l + 18", "j": "e + 14", "w": "j + 12", "q": 12}, "premises": {"q": 12}, "target": "k"}, "answer": {"steps": [["v", "z + 10", "z + 19"], ["z", "g + 13", "g + 32"], ["g", "s + 17", "s + 49"], ["s", "c + 9", "c + 58"], ["c", "q + 3", "q + 61"], ["q", 12, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"q": 12}, "is_reverse": true}} | 15,309 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = l + 18; g = s + 17; v = z + 10; k = v + 9; n = q + 18; w = j + 12; s = c + 9; t = n + 16; z = g + 13; c = q + 3; l = t + 14; q = 12; j = e + 14. If q = 12, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 10 to k, which gives k = z + 19.\n2. Substitute z = g + 13 to k, which gives k = g + 32.\n3. Substitute g = s + 17 to k, which gives k = s + 49.\n4. Substitute s = c + 9 to k, which gives k = c + 58.\n5. Substitute c = q + 3 to k, which gives k = q + 61.\n6. Substitute q = 12 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 15309,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = l + 18; g = s + 17; v = z + 10; k = v + 9; n = q + 18; w = j + 12; s = c + 9; t = n + 16; z = g + 13; c = q + 3; l = t + 14; q = 12; j = e + 14. If q = 12, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"x": "z + 19", "c": "x + 6", "h": "c + 11", "a": "h + 15", "i": "a + 13", "g": "i + 12", "d": "z + 20", "o": "d + 2", "u": "o + 3", "l": "u + 10", "f": "l + 3", "j": "f + 15", "z": 1}, "premises": {"z": 1}, "target": "g"}, "answer": {"steps": [["i", "a + 13", "a + 25"], ["a", "h + 15", "h + 40"], ["h", "c + 11", "c + 51"], ["c", "x + 6", "x + 57"], ["x", "z + 19", "z + 76"], ["z", 1, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"z": 1}, "is_reverse": true}} | 15,310 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = i + 12; o = d + 2; l = u + 10; d = z + 20; i = a + 13; z = 1; a = h + 15; x = z + 19; c = x + 6; f = l + 3; u = o + 3; h = c + 11; j = f + 15. Given that z = 1, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 13 to g, which gives g = a + 25.\n2. Substitute a = h + 15 to g, which gives g = h + 40.\n3. Substitute h = c + 11 to g, which gives g = c + 51.\n4. Substitute c = x + 6 to g, which gives g = x + 57.\n5. Substitute x = z + 19 to g, which gives g = z + 76.\n6. Substitute z = 1 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 15310,
"question": "Suppose a collection of variables is related by the following definitions: g = i + 12; o = d + 2; l = u + 10; d = z + 20; i = a + 13; z = 1; a = h + 15; x = z + 19; c = x + 6; f = l + 3; u = o + 3; h = c + 11; j = f + 15. Given that z = 1, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"l": "i + 14", "e": "l + 18", "t": "e + 3", "j": "t + 10", "r": "j + 1", "n": "r + 1", "h": "i + 18", "m": "h + 13", "y": "m + 20", "f": "y + 8", "s": "f + 18", "a": "s + 9", "i": 5}, "premises": {"i": 5}, "target": "n"}, "answer": {"steps": [["r", "j + 1", "j + 2"], ["j", "t + 10", "t + 12"], ["t", "e + 3", "e + 15"], ["e", "l + 18", "l + 33"], ["l", "i + 14", "i + 47"], ["i", 5, "52"]], "target_var_name": "n", "target_value": 52, "value_dict": {"i": 5}, "is_reverse": true}} | 15,311 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = r + 1; y = m + 20; r = j + 1; t = e + 3; m = h + 13; l = i + 14; j = t + 10; i = 5; e = l + 18; h = i + 18; a = s + 9; f = y + 8; s = f + 18. Given that i = 5, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 1 to n, which gives n = j + 2.\n2. Substitute j = t + 10 to n, which gives n = t + 12.\n3. Substitute t = e + 3 to n, which gives n = e + 15.\n4. Substitute e = l + 18 to n, which gives n = l + 33.\n5. Substitute l = i + 14 to n, which gives n = i + 47.\n6. Substitute i = 5 to n, which gives n = 52.\n\nThus, the final answer is n = \\boxed{52}.",
"index": 15311,
"question": "Suppose a collection of variables is related by the following definitions: n = r + 1; y = m + 20; r = j + 1; t = e + 3; m = h + 13; l = i + 14; j = t + 10; i = 5; e = l + 18; h = i + 18; a = s + 9; f = y + 8; s = f + 18. Given that i = 5, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 17", "f": "q + 17", "u": "f + 3", "n": "u + 12", "g": "n + 1", "w": "g + 3", "t": "h + 2", "r": "t + 2", "k": "r + 20", "o": "k + 20", "m": "o + 15", "x": "m + 17", "h": 9}, "premises": {"h": 9}, "target": "w"}, "answer": {"steps": [["g", "n + 1", "n + 4"], ["n", "u + 12", "u + 16"], ["u", "f + 3", "f + 19"], ["f", "q + 17", "q + 36"], ["q", "h + 17", "h + 53"], ["h", 9, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"h": 9}, "is_reverse": true}} | 15,312 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = n + 1; q = h + 17; o = k + 20; h = 9; t = h + 2; f = q + 17; m = o + 15; u = f + 3; n = u + 12; r = t + 2; k = r + 20; w = g + 3; x = m + 17. Given that h = 9, find 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 g = n + 1 to w, which gives w = n + 4.\n2. Substitute n = u + 12 to w, which gives w = u + 16.\n3. Substitute u = f + 3 to w, which gives w = f + 19.\n4. Substitute f = q + 17 to w, which gives w = q + 36.\n5. Substitute q = h + 17 to w, which gives w = h + 53.\n6. Substitute h = 9 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 15312,
"question": "Suppose a collection of variables is related by the following definitions: g = n + 1; q = h + 17; o = k + 20; h = 9; t = h + 2; f = q + 17; m = o + 15; u = f + 3; n = u + 12; r = t + 2; k = r + 20; w = g + 3; x = m + 17. Given that h = 9, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"m": "x + 7", "o": "m + 6", "h": "o + 14", "f": "h + 18", "d": "f + 8", "k": "d + 6", "r": "x + 5", "l": "r + 6", "w": "l + 11", "t": "w + 2", "i": "t + 10", "c": "i + 13", "x": 16}, "premises": {"x": 16}, "target": "k"}, "answer": {"steps": [["d", "f + 8", "f + 14"], ["f", "h + 18", "h + 32"], ["h", "o + 14", "o + 46"], ["o", "m + 6", "m + 52"], ["m", "x + 7", "x + 59"], ["x", 16, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"x": 16}, "is_reverse": true}} | 15,313 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = o + 14; o = m + 6; i = t + 10; l = r + 6; r = x + 5; t = w + 2; k = d + 6; c = i + 13; x = 16; f = h + 18; w = l + 11; m = x + 7; d = f + 8. Given that x = 16, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 8 to k, which gives k = f + 14.\n2. Substitute f = h + 18 to k, which gives k = h + 32.\n3. Substitute h = o + 14 to k, which gives k = o + 46.\n4. Substitute o = m + 6 to k, which gives k = m + 52.\n5. Substitute m = x + 7 to k, which gives k = x + 59.\n6. Substitute x = 16 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 15313,
"question": "Suppose a collection of variables is related by the following definitions: h = o + 14; o = m + 6; i = t + 10; l = r + 6; r = x + 5; t = w + 2; k = d + 6; c = i + 13; x = 16; f = h + 18; w = l + 11; m = x + 7; d = f + 8. Given that x = 16, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 13", "p": "a + 8", "d": "p + 16", "n": "d + 7", "c": "n + 15", "j": "c + 2", "o": "v + 1", "h": "o + 4", "w": "h + 8", "u": "w + 14", "y": "u + 20", "i": "y + 14", "v": 9}, "premises": {"v": 9}, "target": "j"}, "answer": {"steps": [["c", "n + 15", "n + 17"], ["n", "d + 7", "d + 24"], ["d", "p + 16", "p + 40"], ["p", "a + 8", "a + 48"], ["a", "v + 13", "v + 61"], ["v", 9, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"v": 9}, "is_reverse": true}} | 15,314 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = o + 4; w = h + 8; o = v + 1; y = u + 20; u = w + 14; d = p + 16; p = a + 8; a = v + 13; j = c + 2; c = n + 15; i = y + 14; n = d + 7; v = 9. If v = 9, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 15 to j, which gives j = n + 17.\n2. Substitute n = d + 7 to j, which gives j = d + 24.\n3. Substitute d = p + 16 to j, which gives j = p + 40.\n4. Substitute p = a + 8 to j, which gives j = a + 48.\n5. Substitute a = v + 13 to j, which gives j = v + 61.\n6. Substitute v = 9 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 15314,
"question": "Consider a system of variables where each variable is defined as follows: h = o + 4; w = h + 8; o = v + 1; y = u + 20; u = w + 14; d = p + 16; p = a + 8; a = v + 13; j = c + 2; c = n + 15; i = y + 14; n = d + 7; v = 9. If v = 9, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 13", "z": "d + 5", "h": "z + 11", "t": "h + 3", "q": "t + 12", "p": "q + 6", "u": "x + 8", "e": "u + 11", "s": "e + 8", "r": "s + 17", "a": "r + 18", "w": "a + 14", "x": 9}, "premises": {"x": 9}, "target": "p"}, "answer": {"steps": [["q", "t + 12", "t + 18"], ["t", "h + 3", "h + 21"], ["h", "z + 11", "z + 32"], ["z", "d + 5", "d + 37"], ["d", "x + 13", "x + 50"], ["x", 9, "59"]], "target_var_name": "p", "target_value": 59, "value_dict": {"x": 9}, "is_reverse": true}} | 15,315 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = d + 5; a = r + 18; h = z + 11; w = a + 14; x = 9; u = x + 8; d = x + 13; r = s + 17; q = t + 12; p = q + 6; s = e + 8; t = h + 3; e = u + 11. Given that x = 9, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 12 to p, which gives p = t + 18.\n2. Substitute t = h + 3 to p, which gives p = h + 21.\n3. Substitute h = z + 11 to p, which gives p = z + 32.\n4. Substitute z = d + 5 to p, which gives p = d + 37.\n5. Substitute d = x + 13 to p, which gives p = x + 50.\n6. Substitute x = 9 to p, which gives p = 59.\n\nThus, the final answer is p = \\boxed{59}.",
"index": 15315,
"question": "Suppose a collection of variables is related by the following definitions: z = d + 5; a = r + 18; h = z + 11; w = a + 14; x = 9; u = x + 8; d = x + 13; r = s + 17; q = t + 12; p = q + 6; s = e + 8; t = h + 3; e = u + 11. Given that x = 9, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 15", "a": "v + 15", "l": "a + 16", "p": "l + 16", "r": "p + 1", "h": "r + 7", "m": "j + 16", "z": "m + 6", "g": "z + 14", "i": "g + 5", "s": "i + 1", "e": "s + 18", "j": 9}, "premises": {"j": 9}, "target": "h"}, "answer": {"steps": [["r", "p + 1", "p + 8"], ["p", "l + 16", "l + 24"], ["l", "a + 16", "a + 40"], ["a", "v + 15", "v + 55"], ["v", "j + 15", "j + 70"], ["j", 9, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"j": 9}, "is_reverse": true}} | 15,316 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = i + 1; g = z + 14; p = l + 16; z = m + 6; v = j + 15; j = 9; i = g + 5; l = a + 16; r = p + 1; a = v + 15; h = r + 7; e = s + 18; m = j + 16. Given that j = 9, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 1 to h, which gives h = p + 8.\n2. Substitute p = l + 16 to h, which gives h = l + 24.\n3. Substitute l = a + 16 to h, which gives h = a + 40.\n4. Substitute a = v + 15 to h, which gives h = v + 55.\n5. Substitute v = j + 15 to h, which gives h = j + 70.\n6. Substitute j = 9 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 15316,
"question": "Suppose a collection of variables is related by the following definitions: s = i + 1; g = z + 14; p = l + 16; z = m + 6; v = j + 15; j = 9; i = g + 5; l = a + 16; r = p + 1; a = v + 15; h = r + 7; e = s + 18; m = j + 16. Given that j = 9, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 15", "k": "n + 14", "j": "k + 3", "f": "j + 6", "c": "f + 16", "t": "c + 11", "h": "y + 8", "x": "h + 2", "s": "x + 20", "v": "s + 2", "z": "v + 1", "e": "z + 14", "y": 9}, "premises": {"y": 9}, "target": "t"}, "answer": {"steps": [["c", "f + 16", "f + 27"], ["f", "j + 6", "j + 33"], ["j", "k + 3", "k + 36"], ["k", "n + 14", "n + 50"], ["n", "y + 15", "y + 65"], ["y", 9, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"y": 9}, "is_reverse": true}} | 15,317 | 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 = c + 11; z = v + 1; n = y + 15; e = z + 14; y = 9; f = j + 6; h = y + 8; c = f + 16; v = s + 2; k = n + 14; x = h + 2; s = x + 20; j = k + 3. If y = 9, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 16 to t, which gives t = f + 27.\n2. Substitute f = j + 6 to t, which gives t = j + 33.\n3. Substitute j = k + 3 to t, which gives t = k + 36.\n4. Substitute k = n + 14 to t, which gives t = n + 50.\n5. Substitute n = y + 15 to t, which gives t = y + 65.\n6. Substitute y = 9 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 15317,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 11; z = v + 1; n = y + 15; e = z + 14; y = 9; f = j + 6; h = y + 8; c = f + 16; v = s + 2; k = n + 14; x = h + 2; s = x + 20; j = k + 3. If y = 9, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"d": "u + 16", "b": "d + 6", "z": "b + 19", "i": "z + 16", "j": "i + 17", "y": "j + 18", "a": "u + 13", "v": "a + 4", "e": "v + 14", "h": "e + 15", "r": "h + 18", "g": "r + 6", "u": 5}, "premises": {"u": 5}, "target": "y"}, "answer": {"steps": [["j", "i + 17", "i + 35"], ["i", "z + 16", "z + 51"], ["z", "b + 19", "b + 70"], ["b", "d + 6", "d + 76"], ["d", "u + 16", "u + 92"], ["u", 5, "97"]], "target_var_name": "y", "target_value": 97, "value_dict": {"u": 5}, "is_reverse": true}} | 15,318 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = v + 14; r = h + 18; i = z + 16; b = d + 6; y = j + 18; u = 5; z = b + 19; d = u + 16; j = i + 17; h = e + 15; v = a + 4; a = u + 13; g = r + 6. If u = 5, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 17 to y, which gives y = i + 35.\n2. Substitute i = z + 16 to y, which gives y = z + 51.\n3. Substitute z = b + 19 to y, which gives y = b + 70.\n4. Substitute b = d + 6 to y, which gives y = d + 76.\n5. Substitute d = u + 16 to y, which gives y = u + 92.\n6. Substitute u = 5 to y, which gives y = 97.\n\nThus, the final answer is y = \\boxed{97}.",
"index": 15318,
"question": "Consider a system of variables where each variable is defined as follows: e = v + 14; r = h + 18; i = z + 16; b = d + 6; y = j + 18; u = 5; z = b + 19; d = u + 16; j = i + 17; h = e + 15; v = a + 4; a = u + 13; g = r + 6. If u = 5, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 14", "d": "k + 17", "j": "d + 12", "h": "j + 8", "a": "h + 17", "l": "a + 18", "m": "y + 16", "r": "m + 4", "t": "r + 2", "q": "t + 14", "o": "q + 16", "n": "o + 19", "y": 17}, "premises": {"y": 17}, "target": "l"}, "answer": {"steps": [["a", "h + 17", "h + 35"], ["h", "j + 8", "j + 43"], ["j", "d + 12", "d + 55"], ["d", "k + 17", "k + 72"], ["k", "y + 14", "y + 86"], ["y", 17, "103"]], "target_var_name": "l", "target_value": 103, "value_dict": {"y": 17}, "is_reverse": true}} | 15,319 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = r + 2; a = h + 17; d = k + 17; q = t + 14; y = 17; j = d + 12; k = y + 14; h = j + 8; n = o + 19; m = y + 16; l = a + 18; r = m + 4; o = q + 16. Given that y = 17, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 17 to l, which gives l = h + 35.\n2. Substitute h = j + 8 to l, which gives l = j + 43.\n3. Substitute j = d + 12 to l, which gives l = d + 55.\n4. Substitute d = k + 17 to l, which gives l = k + 72.\n5. Substitute k = y + 14 to l, which gives l = y + 86.\n6. Substitute y = 17 to l, which gives l = 103.\n\nThus, the final answer is l = \\boxed{103}.",
"index": 15319,
"question": "Suppose a collection of variables is related by the following definitions: t = r + 2; a = h + 17; d = k + 17; q = t + 14; y = 17; j = d + 12; k = y + 14; h = j + 8; n = o + 19; m = y + 16; l = a + 18; r = m + 4; o = q + 16. Given that y = 17, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"a": "w + 16", "f": "a + 15", "r": "f + 12", "z": "r + 13", "g": "z + 13", "q": "g + 2", "n": "w + 3", "i": "n + 2", "k": "i + 3", "b": "k + 11", "s": "b + 1", "e": "s + 16", "w": 15}, "premises": {"w": 15}, "target": "q"}, "answer": {"steps": [["g", "z + 13", "z + 15"], ["z", "r + 13", "r + 28"], ["r", "f + 12", "f + 40"], ["f", "a + 15", "a + 55"], ["a", "w + 16", "w + 71"], ["w", 15, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"w": 15}, "is_reverse": true}} | 15,320 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = w + 16; f = a + 15; e = s + 16; q = g + 2; g = z + 13; z = r + 13; i = n + 2; r = f + 12; w = 15; k = i + 3; n = w + 3; b = k + 11; s = b + 1. Given that w = 15, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 13 to q, which gives q = z + 15.\n2. Substitute z = r + 13 to q, which gives q = r + 28.\n3. Substitute r = f + 12 to q, which gives q = f + 40.\n4. Substitute f = a + 15 to q, which gives q = a + 55.\n5. Substitute a = w + 16 to q, which gives q = w + 71.\n6. Substitute w = 15 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 15320,
"question": "Suppose a collection of variables is related by the following definitions: a = w + 16; f = a + 15; e = s + 16; q = g + 2; g = z + 13; z = r + 13; i = n + 2; r = f + 12; w = 15; k = i + 3; n = w + 3; b = k + 11; s = b + 1. Given that w = 15, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 6", "x": "z + 2", "e": "x + 18", "h": "e + 17", "m": "h + 9", "s": "m + 6", "n": "q + 12", "p": "n + 20", "g": "p + 20", "b": "g + 9", "r": "b + 7", "l": "r + 15", "q": 15}, "premises": {"q": 15}, "target": "s"}, "answer": {"steps": [["m", "h + 9", "h + 15"], ["h", "e + 17", "e + 32"], ["e", "x + 18", "x + 50"], ["x", "z + 2", "z + 52"], ["z", "q + 6", "q + 58"], ["q", 15, "73"]], "target_var_name": "s", "target_value": 73, "value_dict": {"q": 15}, "is_reverse": true}} | 15,321 | 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 = 15; s = m + 6; x = z + 2; z = q + 6; l = r + 15; m = h + 9; h = e + 17; p = n + 20; b = g + 9; e = x + 18; r = b + 7; n = q + 12; g = p + 20. If q = 15, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 9 to s, which gives s = h + 15.\n2. Substitute h = e + 17 to s, which gives s = e + 32.\n3. Substitute e = x + 18 to s, which gives s = x + 50.\n4. Substitute x = z + 2 to s, which gives s = z + 52.\n5. Substitute z = q + 6 to s, which gives s = q + 58.\n6. Substitute q = 15 to s, which gives s = 73.\n\nThus, the final answer is s = \\boxed{73}.",
"index": 15321,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 15; s = m + 6; x = z + 2; z = q + 6; l = r + 15; m = h + 9; h = e + 17; p = n + 20; b = g + 9; e = x + 18; r = b + 7; n = q + 12; g = p + 20. If q = 15, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 3", "z": "q + 14", "x": "z + 9", "d": "x + 19", "c": "d + 14", "y": "c + 13", "h": "i + 15", "k": "h + 15", "j": "k + 4", "b": "j + 20", "u": "b + 6", "g": "u + 11", "i": 9}, "premises": {"i": 9}, "target": "y"}, "answer": {"steps": [["c", "d + 14", "d + 27"], ["d", "x + 19", "x + 46"], ["x", "z + 9", "z + 55"], ["z", "q + 14", "q + 69"], ["q", "i + 3", "i + 72"], ["i", 9, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"i": 9}, "is_reverse": true}} | 15,322 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = i + 3; y = c + 13; k = h + 15; z = q + 14; g = u + 11; x = z + 9; c = d + 14; u = b + 6; d = x + 19; h = i + 15; b = j + 20; i = 9; j = k + 4. If i = 9, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 14 to y, which gives y = d + 27.\n2. Substitute d = x + 19 to y, which gives y = x + 46.\n3. Substitute x = z + 9 to y, which gives y = z + 55.\n4. Substitute z = q + 14 to y, which gives y = q + 69.\n5. Substitute q = i + 3 to y, which gives y = i + 72.\n6. Substitute i = 9 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 15322,
"question": "Consider a system of variables where each variable is defined as follows: q = i + 3; y = c + 13; k = h + 15; z = q + 14; g = u + 11; x = z + 9; c = d + 14; u = b + 6; d = x + 19; h = i + 15; b = j + 20; i = 9; j = k + 4. If i = 9, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"u": "e + 11", "g": "u + 19", "f": "g + 1", "a": "f + 12", "m": "a + 15", "i": "m + 10", "v": "e + 7", "z": "v + 4", "j": "z + 6", "x": "j + 13", "y": "x + 2", "d": "y + 20", "e": 14}, "premises": {"e": 14}, "target": "i"}, "answer": {"steps": [["m", "a + 15", "a + 25"], ["a", "f + 12", "f + 37"], ["f", "g + 1", "g + 38"], ["g", "u + 19", "u + 57"], ["u", "e + 11", "e + 68"], ["e", 14, "82"]], "target_var_name": "i", "target_value": 82, "value_dict": {"e": 14}, "is_reverse": true}} | 15,323 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = m + 10; u = e + 11; f = g + 1; m = a + 15; j = z + 6; e = 14; v = e + 7; d = y + 20; z = v + 4; y = x + 2; x = j + 13; g = u + 19; a = f + 12. If e = 14, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 15 to i, which gives i = a + 25.\n2. Substitute a = f + 12 to i, which gives i = f + 37.\n3. Substitute f = g + 1 to i, which gives i = g + 38.\n4. Substitute g = u + 19 to i, which gives i = u + 57.\n5. Substitute u = e + 11 to i, which gives i = e + 68.\n6. Substitute e = 14 to i, which gives i = 82.\n\nThus, the final answer is i = \\boxed{82}.",
"index": 15323,
"question": "Consider a system of variables where each variable is defined as follows: i = m + 10; u = e + 11; f = g + 1; m = a + 15; j = z + 6; e = 14; v = e + 7; d = y + 20; z = v + 4; y = x + 2; x = j + 13; g = u + 19; a = f + 12. If e = 14, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 7", "e": "j + 20", "v": "e + 11", "a": "v + 12", "w": "a + 15", "n": "w + 19", "m": "q + 15", "y": "m + 14", "i": "y + 2", "c": "i + 9", "x": "c + 5", "g": "x + 1", "q": 20}, "premises": {"q": 20}, "target": "n"}, "answer": {"steps": [["w", "a + 15", "a + 34"], ["a", "v + 12", "v + 46"], ["v", "e + 11", "e + 57"], ["e", "j + 20", "j + 77"], ["j", "q + 7", "q + 84"], ["q", 20, "104"]], "target_var_name": "n", "target_value": 104, "value_dict": {"q": 20}, "is_reverse": true}} | 15,324 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = q + 15; g = x + 1; i = y + 2; a = v + 12; c = i + 9; e = j + 20; q = 20; x = c + 5; w = a + 15; n = w + 19; y = m + 14; v = e + 11; j = q + 7. If q = 20, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 15 to n, which gives n = a + 34.\n2. Substitute a = v + 12 to n, which gives n = v + 46.\n3. Substitute v = e + 11 to n, which gives n = e + 57.\n4. Substitute e = j + 20 to n, which gives n = j + 77.\n5. Substitute j = q + 7 to n, which gives n = q + 84.\n6. Substitute q = 20 to n, which gives n = 104.\n\nThus, the final answer is n = \\boxed{104}.",
"index": 15324,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = q + 15; g = x + 1; i = y + 2; a = v + 12; c = i + 9; e = j + 20; q = 20; x = c + 5; w = a + 15; n = w + 19; y = m + 14; v = e + 11; j = q + 7. If q = 20, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 9", "b": "z + 12", "n": "b + 10", "f": "n + 1", "h": "f + 5", "y": "h + 9", "e": "r + 8", "a": "e + 7", "i": "a + 16", "q": "i + 3", "t": "q + 12", "k": "t + 2", "r": 9}, "premises": {"r": 9}, "target": "y"}, "answer": {"steps": [["h", "f + 5", "f + 14"], ["f", "n + 1", "n + 15"], ["n", "b + 10", "b + 25"], ["b", "z + 12", "z + 37"], ["z", "r + 9", "r + 46"], ["r", 9, "55"]], "target_var_name": "y", "target_value": 55, "value_dict": {"r": 9}, "is_reverse": true}} | 15,325 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = h + 9; b = z + 12; a = e + 7; t = q + 12; h = f + 5; k = t + 2; i = a + 16; q = i + 3; f = n + 1; r = 9; n = b + 10; e = r + 8; z = r + 9. If r = 9, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 5 to y, which gives y = f + 14.\n2. Substitute f = n + 1 to y, which gives y = n + 15.\n3. Substitute n = b + 10 to y, which gives y = b + 25.\n4. Substitute b = z + 12 to y, which gives y = z + 37.\n5. Substitute z = r + 9 to y, which gives y = r + 46.\n6. Substitute r = 9 to y, which gives y = 55.\n\nThus, the final answer is y = \\boxed{55}.",
"index": 15325,
"question": "Consider a system of variables where each variable is defined as follows: y = h + 9; b = z + 12; a = e + 7; t = q + 12; h = f + 5; k = t + 2; i = a + 16; q = i + 3; f = n + 1; r = 9; n = b + 10; e = r + 8; z = r + 9. If r = 9, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"m": "y + 2", "b": "m + 13", "u": "b + 19", "e": "u + 19", "z": "e + 11", "j": "z + 8", "f": "y + 13", "s": "f + 7", "g": "s + 17", "q": "g + 3", "x": "q + 20", "r": "x + 5", "y": 11}, "premises": {"y": 11}, "target": "j"}, "answer": {"steps": [["z", "e + 11", "e + 19"], ["e", "u + 19", "u + 38"], ["u", "b + 19", "b + 57"], ["b", "m + 13", "m + 70"], ["m", "y + 2", "y + 72"], ["y", 11, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"y": 11}, "is_reverse": true}} | 15,326 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = x + 5; q = g + 3; f = y + 13; s = f + 7; x = q + 20; e = u + 19; z = e + 11; g = s + 17; b = m + 13; j = z + 8; y = 11; m = y + 2; u = b + 19. Given that y = 11, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 11 to j, which gives j = e + 19.\n2. Substitute e = u + 19 to j, which gives j = u + 38.\n3. Substitute u = b + 19 to j, which gives j = b + 57.\n4. Substitute b = m + 13 to j, which gives j = m + 70.\n5. Substitute m = y + 2 to j, which gives j = y + 72.\n6. Substitute y = 11 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 15326,
"question": "Suppose a collection of variables is related by the following definitions: r = x + 5; q = g + 3; f = y + 13; s = f + 7; x = q + 20; e = u + 19; z = e + 11; g = s + 17; b = m + 13; j = z + 8; y = 11; m = y + 2; u = b + 19. Given that y = 11, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 15", "o": "m + 14", "q": "o + 14", "s": "q + 5", "n": "s + 17", "c": "n + 4", "k": "f + 7", "l": "k + 4", "b": "l + 20", "p": "b + 8", "w": "p + 12", "i": "w + 17", "f": 20}, "premises": {"f": 20}, "target": "c"}, "answer": {"steps": [["n", "s + 17", "s + 21"], ["s", "q + 5", "q + 26"], ["q", "o + 14", "o + 40"], ["o", "m + 14", "m + 54"], ["m", "f + 15", "f + 69"], ["f", 20, "89"]], "target_var_name": "c", "target_value": 89, "value_dict": {"f": 20}, "is_reverse": true}} | 15,327 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = s + 17; o = m + 14; m = f + 15; s = q + 5; q = o + 14; p = b + 8; i = w + 17; c = n + 4; w = p + 12; k = f + 7; f = 20; l = k + 4; b = l + 20. If f = 20, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 17 to c, which gives c = s + 21.\n2. Substitute s = q + 5 to c, which gives c = q + 26.\n3. Substitute q = o + 14 to c, which gives c = o + 40.\n4. Substitute o = m + 14 to c, which gives c = m + 54.\n5. Substitute m = f + 15 to c, which gives c = f + 69.\n6. Substitute f = 20 to c, which gives c = 89.\n\nThus, the final answer is c = \\boxed{89}.",
"index": 15327,
"question": "Consider a system of variables where each variable is defined as follows: n = s + 17; o = m + 14; m = f + 15; s = q + 5; q = o + 14; p = b + 8; i = w + 17; c = n + 4; w = p + 12; k = f + 7; f = 20; l = k + 4; b = l + 20. If f = 20, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 16", "p": "u + 8", "q": "p + 17", "v": "q + 9", "c": "v + 15", "l": "c + 2", "w": "x + 13", "s": "w + 3", "h": "s + 19", "f": "h + 6", "b": "f + 10", "m": "b + 16", "x": 15}, "premises": {"x": 15}, "target": "l"}, "answer": {"steps": [["c", "v + 15", "v + 17"], ["v", "q + 9", "q + 26"], ["q", "p + 17", "p + 43"], ["p", "u + 8", "u + 51"], ["u", "x + 16", "x + 67"], ["x", 15, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"x": 15}, "is_reverse": true}} | 15,328 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = x + 16; w = x + 13; p = u + 8; b = f + 10; x = 15; v = q + 9; f = h + 6; m = b + 16; h = s + 19; l = c + 2; q = p + 17; s = w + 3; c = v + 15. If x = 15, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 15 to l, which gives l = v + 17.\n2. Substitute v = q + 9 to l, which gives l = q + 26.\n3. Substitute q = p + 17 to l, which gives l = p + 43.\n4. Substitute p = u + 8 to l, which gives l = u + 51.\n5. Substitute u = x + 16 to l, which gives l = x + 67.\n6. Substitute x = 15 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 15328,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = x + 16; w = x + 13; p = u + 8; b = f + 10; x = 15; v = q + 9; f = h + 6; m = b + 16; h = s + 19; l = c + 2; q = p + 17; s = w + 3; c = v + 15. If x = 15, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 5", "d": "t + 14", "i": "d + 18", "h": "i + 6", "v": "h + 4", "u": "v + 20", "w": "y + 11", "g": "w + 14", "r": "g + 5", "a": "r + 11", "q": "a + 14", "s": "q + 10", "y": 15}, "premises": {"y": 15}, "target": "u"}, "answer": {"steps": [["v", "h + 4", "h + 24"], ["h", "i + 6", "i + 30"], ["i", "d + 18", "d + 48"], ["d", "t + 14", "t + 62"], ["t", "y + 5", "y + 67"], ["y", 15, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"y": 15}, "is_reverse": true}} | 15,329 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = q + 10; g = w + 14; v = h + 4; u = v + 20; d = t + 14; t = y + 5; w = y + 11; y = 15; a = r + 11; r = g + 5; i = d + 18; q = a + 14; h = i + 6. If y = 15, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 4 to u, which gives u = h + 24.\n2. Substitute h = i + 6 to u, which gives u = i + 30.\n3. Substitute i = d + 18 to u, which gives u = d + 48.\n4. Substitute d = t + 14 to u, which gives u = t + 62.\n5. Substitute t = y + 5 to u, which gives u = y + 67.\n6. Substitute y = 15 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 15329,
"question": "Consider a system of variables where each variable is defined as follows: s = q + 10; g = w + 14; v = h + 4; u = v + 20; d = t + 14; t = y + 5; w = y + 11; y = 15; a = r + 11; r = g + 5; i = d + 18; q = a + 14; h = i + 6. If y = 15, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 7", "r": "e + 20", "q": "r + 8", "n": "q + 5", "l": "n + 16", "z": "l + 13", "b": "p + 15", "k": "b + 18", "m": "k + 9", "h": "m + 6", "t": "h + 11", "g": "t + 13", "p": 18}, "premises": {"p": 18}, "target": "z"}, "answer": {"steps": [["l", "n + 16", "n + 29"], ["n", "q + 5", "q + 34"], ["q", "r + 8", "r + 42"], ["r", "e + 20", "e + 62"], ["e", "p + 7", "p + 69"], ["p", 18, "87"]], "target_var_name": "z", "target_value": 87, "value_dict": {"p": 18}, "is_reverse": true}} | 15,330 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = n + 16; n = q + 5; h = m + 6; e = p + 7; p = 18; q = r + 8; z = l + 13; k = b + 18; b = p + 15; m = k + 9; g = t + 13; r = e + 20; t = h + 11. Given that p = 18, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 16 to z, which gives z = n + 29.\n2. Substitute n = q + 5 to z, which gives z = q + 34.\n3. Substitute q = r + 8 to z, which gives z = r + 42.\n4. Substitute r = e + 20 to z, which gives z = e + 62.\n5. Substitute e = p + 7 to z, which gives z = p + 69.\n6. Substitute p = 18 to z, which gives z = 87.\n\nThus, the final answer is z = \\boxed{87}.",
"index": 15330,
"question": "Suppose a collection of variables is related by the following definitions: l = n + 16; n = q + 5; h = m + 6; e = p + 7; p = 18; q = r + 8; z = l + 13; k = b + 18; b = p + 15; m = k + 9; g = t + 13; r = e + 20; t = h + 11. Given that p = 18, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 5", "h": "z + 3", "w": "h + 19", "r": "w + 1", "a": "r + 9", "e": "a + 1", "m": "l + 19", "o": "m + 2", "f": "o + 11", "d": "f + 4", "p": "d + 4", "k": "p + 1", "l": 1}, "premises": {"l": 1}, "target": "e"}, "answer": {"steps": [["a", "r + 9", "r + 10"], ["r", "w + 1", "w + 11"], ["w", "h + 19", "h + 30"], ["h", "z + 3", "z + 33"], ["z", "l + 5", "l + 38"], ["l", 1, "39"]], "target_var_name": "e", "target_value": 39, "value_dict": {"l": 1}, "is_reverse": true}} | 15,331 | 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 = z + 3; d = f + 4; w = h + 19; k = p + 1; e = a + 1; m = l + 19; r = w + 1; p = d + 4; f = o + 11; l = 1; z = l + 5; a = r + 9; o = m + 2. If l = 1, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 39,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 9 to e, which gives e = r + 10.\n2. Substitute r = w + 1 to e, which gives e = w + 11.\n3. Substitute w = h + 19 to e, which gives e = h + 30.\n4. Substitute h = z + 3 to e, which gives e = z + 33.\n5. Substitute z = l + 5 to e, which gives e = l + 38.\n6. Substitute l = 1 to e, which gives e = 39.\n\nThus, the final answer is e = \\boxed{39}.",
"index": 15331,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 3; d = f + 4; w = h + 19; k = p + 1; e = a + 1; m = l + 19; r = w + 1; p = d + 4; f = o + 11; l = 1; z = l + 5; a = r + 9; o = m + 2. If l = 1, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 9", "j": "m + 10", "i": "j + 14", "d": "i + 12", "k": "d + 2", "n": "k + 14", "x": "g + 12", "q": "x + 13", "w": "q + 12", "a": "w + 18", "b": "a + 6", "s": "b + 7", "g": 19}, "premises": {"g": 19}, "target": "n"}, "answer": {"steps": [["k", "d + 2", "d + 16"], ["d", "i + 12", "i + 28"], ["i", "j + 14", "j + 42"], ["j", "m + 10", "m + 52"], ["m", "g + 9", "g + 61"], ["g", 19, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"g": 19}, "is_reverse": true}} | 15,332 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = w + 18; j = m + 10; x = g + 12; g = 19; k = d + 2; i = j + 14; d = i + 12; w = q + 12; m = g + 9; q = x + 13; s = b + 7; b = a + 6; n = k + 14. If g = 19, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 2 to n, which gives n = d + 16.\n2. Substitute d = i + 12 to n, which gives n = i + 28.\n3. Substitute i = j + 14 to n, which gives n = j + 42.\n4. Substitute j = m + 10 to n, which gives n = m + 52.\n5. Substitute m = g + 9 to n, which gives n = g + 61.\n6. Substitute g = 19 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 15332,
"question": "Consider a system of variables where each variable is defined as follows: a = w + 18; j = m + 10; x = g + 12; g = 19; k = d + 2; i = j + 14; d = i + 12; w = q + 12; m = g + 9; q = x + 13; s = b + 7; b = a + 6; n = k + 14. If g = 19, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 10", "z": "m + 16", "r": "z + 4", "q": "r + 13", "s": "q + 7", "j": "s + 16", "b": "k + 5", "p": "b + 3", "v": "p + 18", "y": "v + 6", "n": "y + 3", "x": "n + 18", "k": 20}, "premises": {"k": 20}, "target": "j"}, "answer": {"steps": [["s", "q + 7", "q + 23"], ["q", "r + 13", "r + 36"], ["r", "z + 4", "z + 40"], ["z", "m + 16", "m + 56"], ["m", "k + 10", "k + 66"], ["k", 20, "86"]], "target_var_name": "j", "target_value": 86, "value_dict": {"k": 20}, "is_reverse": true}} | 15,333 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = q + 7; y = v + 6; j = s + 16; v = p + 18; n = y + 3; z = m + 16; x = n + 18; b = k + 5; q = r + 13; p = b + 3; m = k + 10; k = 20; r = z + 4. Given that k = 20, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 7 to j, which gives j = q + 23.\n2. Substitute q = r + 13 to j, which gives j = r + 36.\n3. Substitute r = z + 4 to j, which gives j = z + 40.\n4. Substitute z = m + 16 to j, which gives j = m + 56.\n5. Substitute m = k + 10 to j, which gives j = k + 66.\n6. Substitute k = 20 to j, which gives j = 86.\n\nThus, the final answer is j = \\boxed{86}.",
"index": 15333,
"question": "Suppose a collection of variables is related by the following definitions: s = q + 7; y = v + 6; j = s + 16; v = p + 18; n = y + 3; z = m + 16; x = n + 18; b = k + 5; q = r + 13; p = b + 3; m = k + 10; k = 20; r = z + 4. Given that k = 20, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 15", "h": "t + 19", "z": "h + 12", "b": "z + 5", "d": "b + 7", "a": "d + 2", "y": "x + 17", "m": "y + 16", "g": "m + 18", "q": "g + 6", "l": "q + 1", "c": "l + 13", "x": 3}, "premises": {"x": 3}, "target": "a"}, "answer": {"steps": [["d", "b + 7", "b + 9"], ["b", "z + 5", "z + 14"], ["z", "h + 12", "h + 26"], ["h", "t + 19", "t + 45"], ["t", "x + 15", "x + 60"], ["x", 3, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"x": 3}, "is_reverse": true}} | 15,334 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = m + 18; m = y + 16; t = x + 15; q = g + 6; y = x + 17; a = d + 2; l = q + 1; b = z + 5; z = h + 12; c = l + 13; h = t + 19; d = b + 7; x = 3. If x = 3, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 7 to a, which gives a = b + 9.\n2. Substitute b = z + 5 to a, which gives a = z + 14.\n3. Substitute z = h + 12 to a, which gives a = h + 26.\n4. Substitute h = t + 19 to a, which gives a = t + 45.\n5. Substitute t = x + 15 to a, which gives a = x + 60.\n6. Substitute x = 3 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 15334,
"question": "Consider a system of variables where each variable is defined as follows: g = m + 18; m = y + 16; t = x + 15; q = g + 6; y = x + 17; a = d + 2; l = q + 1; b = z + 5; z = h + 12; c = l + 13; h = t + 19; d = b + 7; x = 3. If x = 3, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 13", "m": "t + 1", "q": "m + 6", "x": "q + 20", "f": "x + 14", "n": "f + 18", "u": "y + 11", "e": "u + 8", "p": "e + 17", "a": "p + 7", "l": "a + 16", "g": "l + 11", "y": 6}, "premises": {"y": 6}, "target": "n"}, "answer": {"steps": [["f", "x + 14", "x + 32"], ["x", "q + 20", "q + 52"], ["q", "m + 6", "m + 58"], ["m", "t + 1", "t + 59"], ["t", "y + 13", "y + 72"], ["y", 6, "78"]], "target_var_name": "n", "target_value": 78, "value_dict": {"y": 6}, "is_reverse": true}} | 15,335 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = q + 20; m = t + 1; n = f + 18; y = 6; f = x + 14; u = y + 11; l = a + 16; q = m + 6; t = y + 13; a = p + 7; e = u + 8; g = l + 11; p = e + 17. If y = 6, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 14 to n, which gives n = x + 32.\n2. Substitute x = q + 20 to n, which gives n = q + 52.\n3. Substitute q = m + 6 to n, which gives n = m + 58.\n4. Substitute m = t + 1 to n, which gives n = t + 59.\n5. Substitute t = y + 13 to n, which gives n = y + 72.\n6. Substitute y = 6 to n, which gives n = 78.\n\nThus, the final answer is n = \\boxed{78}.",
"index": 15335,
"question": "Consider a system of variables where each variable is defined as follows: x = q + 20; m = t + 1; n = f + 18; y = 6; f = x + 14; u = y + 11; l = a + 16; q = m + 6; t = y + 13; a = p + 7; e = u + 8; g = l + 11; p = e + 17. If y = 6, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 2", "d": "y + 1", "p": "d + 7", "c": "p + 18", "g": "c + 20", "n": "g + 17", "h": "f + 5", "l": "h + 17", "x": "l + 4", "v": "x + 6", "i": "v + 5", "r": "i + 9", "f": 17}, "premises": {"f": 17}, "target": "n"}, "answer": {"steps": [["g", "c + 20", "c + 37"], ["c", "p + 18", "p + 55"], ["p", "d + 7", "d + 62"], ["d", "y + 1", "y + 63"], ["y", "f + 2", "f + 65"], ["f", 17, "82"]], "target_var_name": "n", "target_value": 82, "value_dict": {"f": 17}, "is_reverse": true}} | 15,336 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = y + 1; l = h + 17; h = f + 5; g = c + 20; y = f + 2; p = d + 7; i = v + 5; v = x + 6; n = g + 17; c = p + 18; f = 17; x = l + 4; r = i + 9. If f = 17, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 20 to n, which gives n = c + 37.\n2. Substitute c = p + 18 to n, which gives n = p + 55.\n3. Substitute p = d + 7 to n, which gives n = d + 62.\n4. Substitute d = y + 1 to n, which gives n = y + 63.\n5. Substitute y = f + 2 to n, which gives n = f + 65.\n6. Substitute f = 17 to n, which gives n = 82.\n\nThus, the final answer is n = \\boxed{82}.",
"index": 15336,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = y + 1; l = h + 17; h = f + 5; g = c + 20; y = f + 2; p = d + 7; i = v + 5; v = x + 6; n = g + 17; c = p + 18; f = 17; x = l + 4; r = i + 9. If f = 17, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 3", "s": "m + 2", "d": "s + 10", "y": "d + 1", "k": "y + 12", "x": "k + 4", "t": "c + 14", "f": "t + 19", "l": "f + 3", "v": "l + 17", "r": "v + 4", "j": "r + 13", "c": 3}, "premises": {"c": 3}, "target": "x"}, "answer": {"steps": [["k", "y + 12", "y + 16"], ["y", "d + 1", "d + 17"], ["d", "s + 10", "s + 27"], ["s", "m + 2", "m + 29"], ["m", "c + 3", "c + 32"], ["c", 3, "35"]], "target_var_name": "x", "target_value": 35, "value_dict": {"c": 3}, "is_reverse": true}} | 15,337 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = 3; j = r + 13; y = d + 1; f = t + 19; r = v + 4; s = m + 2; k = y + 12; v = l + 17; x = k + 4; l = f + 3; d = s + 10; t = c + 14; m = c + 3. If c = 3, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 35,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 12 to x, which gives x = y + 16.\n2. Substitute y = d + 1 to x, which gives x = d + 17.\n3. Substitute d = s + 10 to x, which gives x = s + 27.\n4. Substitute s = m + 2 to x, which gives x = m + 29.\n5. Substitute m = c + 3 to x, which gives x = c + 32.\n6. Substitute c = 3 to x, which gives x = 35.\n\nThus, the final answer is x = \\boxed{35}.",
"index": 15337,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = 3; j = r + 13; y = d + 1; f = t + 19; r = v + 4; s = m + 2; k = y + 12; v = l + 17; x = k + 4; l = f + 3; d = s + 10; t = c + 14; m = c + 3. If c = 3, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 8", "t": "w + 15", "o": "t + 6", "i": "o + 5", "n": "i + 15", "x": "n + 12", "d": "a + 11", "k": "d + 20", "c": "k + 6", "l": "c + 6", "y": "l + 16", "v": "y + 13", "a": 2}, "premises": {"a": 2}, "target": "x"}, "answer": {"steps": [["n", "i + 15", "i + 27"], ["i", "o + 5", "o + 32"], ["o", "t + 6", "t + 38"], ["t", "w + 15", "w + 53"], ["w", "a + 8", "a + 61"], ["a", 2, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"a": 2}, "is_reverse": true}} | 15,338 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = n + 12; d = a + 11; k = d + 20; y = l + 16; c = k + 6; w = a + 8; a = 2; l = c + 6; i = o + 5; v = y + 13; t = w + 15; n = i + 15; o = t + 6. If a = 2, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 15 to x, which gives x = i + 27.\n2. Substitute i = o + 5 to x, which gives x = o + 32.\n3. Substitute o = t + 6 to x, which gives x = t + 38.\n4. Substitute t = w + 15 to x, which gives x = w + 53.\n5. Substitute w = a + 8 to x, which gives x = a + 61.\n6. Substitute a = 2 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 15338,
"question": "Consider a system of variables where each variable is defined as follows: x = n + 12; d = a + 11; k = d + 20; y = l + 16; c = k + 6; w = a + 8; a = 2; l = c + 6; i = o + 5; v = y + 13; t = w + 15; n = i + 15; o = t + 6. If a = 2, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"p": "d + 5", "e": "p + 20", "h": "e + 13", "l": "h + 18", "m": "l + 6", "c": "m + 3", "z": "d + 7", "w": "z + 7", "y": "w + 2", "o": "y + 18", "f": "o + 15", "a": "f + 2", "d": 1}, "premises": {"d": 1}, "target": "c"}, "answer": {"steps": [["m", "l + 6", "l + 9"], ["l", "h + 18", "h + 27"], ["h", "e + 13", "e + 40"], ["e", "p + 20", "p + 60"], ["p", "d + 5", "d + 65"], ["d", 1, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"d": 1}, "is_reverse": true}} | 15,339 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 5; o = y + 18; h = e + 13; m = l + 6; a = f + 2; l = h + 18; f = o + 15; e = p + 20; z = d + 7; d = 1; y = w + 2; w = z + 7; c = m + 3. If d = 1, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 6 to c, which gives c = l + 9.\n2. Substitute l = h + 18 to c, which gives c = h + 27.\n3. Substitute h = e + 13 to c, which gives c = e + 40.\n4. Substitute e = p + 20 to c, which gives c = p + 60.\n5. Substitute p = d + 5 to c, which gives c = d + 65.\n6. Substitute d = 1 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 15339,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 5; o = y + 18; h = e + 13; m = l + 6; a = f + 2; l = h + 18; f = o + 15; e = p + 20; z = d + 7; d = 1; y = w + 2; w = z + 7; c = m + 3. If d = 1, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 13", "b": "q + 4", "k": "b + 14", "f": "k + 16", "z": "f + 4", "g": "z + 16", "y": "h + 17", "n": "y + 17", "i": "n + 19", "u": "i + 14", "m": "u + 13", "o": "m + 6", "h": 1}, "premises": {"h": 1}, "target": "g"}, "answer": {"steps": [["z", "f + 4", "f + 20"], ["f", "k + 16", "k + 36"], ["k", "b + 14", "b + 50"], ["b", "q + 4", "q + 54"], ["q", "h + 13", "h + 67"], ["h", 1, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"h": 1}, "is_reverse": true}} | 15,340 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = q + 4; g = z + 16; q = h + 13; m = u + 13; f = k + 16; i = n + 19; o = m + 6; h = 1; n = y + 17; k = b + 14; y = h + 17; u = i + 14; z = f + 4. Given that h = 1, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 4 to g, which gives g = f + 20.\n2. Substitute f = k + 16 to g, which gives g = k + 36.\n3. Substitute k = b + 14 to g, which gives g = b + 50.\n4. Substitute b = q + 4 to g, which gives g = q + 54.\n5. Substitute q = h + 13 to g, which gives g = h + 67.\n6. Substitute h = 1 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 15340,
"question": "Suppose a collection of variables is related by the following definitions: b = q + 4; g = z + 16; q = h + 13; m = u + 13; f = k + 16; i = n + 19; o = m + 6; h = 1; n = y + 17; k = b + 14; y = h + 17; u = i + 14; z = f + 4. Given that h = 1, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 7", "d": "m + 12", "q": "d + 12", "o": "q + 2", "n": "o + 7", "r": "n + 2", "j": "i + 7", "b": "j + 9", "e": "b + 15", "w": "e + 17", "z": "w + 8", "k": "z + 15", "i": 10}, "premises": {"i": 10}, "target": "r"}, "answer": {"steps": [["n", "o + 7", "o + 9"], ["o", "q + 2", "q + 11"], ["q", "d + 12", "d + 23"], ["d", "m + 12", "m + 35"], ["m", "i + 7", "i + 42"], ["i", 10, "52"]], "target_var_name": "r", "target_value": 52, "value_dict": {"i": 10}, "is_reverse": true}} | 15,341 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = e + 17; o = q + 2; e = b + 15; j = i + 7; r = n + 2; i = 10; m = i + 7; q = d + 12; d = m + 12; n = o + 7; z = w + 8; k = z + 15; b = j + 9. Given that i = 10, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 7 to r, which gives r = o + 9.\n2. Substitute o = q + 2 to r, which gives r = q + 11.\n3. Substitute q = d + 12 to r, which gives r = d + 23.\n4. Substitute d = m + 12 to r, which gives r = m + 35.\n5. Substitute m = i + 7 to r, which gives r = i + 42.\n6. Substitute i = 10 to r, which gives r = 52.\n\nThus, the final answer is r = \\boxed{52}.",
"index": 15341,
"question": "Suppose a collection of variables is related by the following definitions: w = e + 17; o = q + 2; e = b + 15; j = i + 7; r = n + 2; i = 10; m = i + 7; q = d + 12; d = m + 12; n = o + 7; z = w + 8; k = z + 15; b = j + 9. Given that i = 10, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 4", "e": "l + 9", "f": "e + 5", "k": "f + 10", "p": "k + 11", "u": "p + 8", "q": "b + 18", "g": "q + 12", "r": "g + 13", "y": "r + 10", "x": "y + 7", "o": "x + 16", "b": 12}, "premises": {"b": 12}, "target": "u"}, "answer": {"steps": [["p", "k + 11", "k + 19"], ["k", "f + 10", "f + 29"], ["f", "e + 5", "e + 34"], ["e", "l + 9", "l + 43"], ["l", "b + 4", "b + 47"], ["b", 12, "59"]], "target_var_name": "u", "target_value": 59, "value_dict": {"b": 12}, "is_reverse": true}} | 15,342 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 4; f = e + 5; r = g + 13; o = x + 16; p = k + 11; u = p + 8; e = l + 9; q = b + 18; k = f + 10; b = 12; x = y + 7; y = r + 10; g = q + 12. If b = 12, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 11 to u, which gives u = k + 19.\n2. Substitute k = f + 10 to u, which gives u = f + 29.\n3. Substitute f = e + 5 to u, which gives u = e + 34.\n4. Substitute e = l + 9 to u, which gives u = l + 43.\n5. Substitute l = b + 4 to u, which gives u = b + 47.\n6. Substitute b = 12 to u, which gives u = 59.\n\nThus, the final answer is u = \\boxed{59}.",
"index": 15342,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 4; f = e + 5; r = g + 13; o = x + 16; p = k + 11; u = p + 8; e = l + 9; q = b + 18; k = f + 10; b = 12; x = y + 7; y = r + 10; g = q + 12. If b = 12, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"i": "e + 5", "l": "i + 15", "h": "l + 5", "d": "h + 19", "z": "d + 2", "c": "z + 7", "q": "e + 14", "y": "q + 10", "o": "y + 19", "a": "o + 10", "r": "a + 1", "k": "r + 7", "e": 12}, "premises": {"e": 12}, "target": "c"}, "answer": {"steps": [["z", "d + 2", "d + 9"], ["d", "h + 19", "h + 28"], ["h", "l + 5", "l + 33"], ["l", "i + 15", "i + 48"], ["i", "e + 5", "e + 53"], ["e", 12, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"e": 12}, "is_reverse": true}} | 15,343 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 15; q = e + 14; e = 12; r = a + 1; y = q + 10; a = o + 10; h = l + 5; k = r + 7; d = h + 19; i = e + 5; o = y + 19; c = z + 7; z = d + 2. If e = 12, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 2 to c, which gives c = d + 9.\n2. Substitute d = h + 19 to c, which gives c = h + 28.\n3. Substitute h = l + 5 to c, which gives c = l + 33.\n4. Substitute l = i + 15 to c, which gives c = i + 48.\n5. Substitute i = e + 5 to c, which gives c = e + 53.\n6. Substitute e = 12 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 15343,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 15; q = e + 14; e = 12; r = a + 1; y = q + 10; a = o + 10; h = l + 5; k = r + 7; d = h + 19; i = e + 5; o = y + 19; c = z + 7; z = d + 2. If e = 12, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"d": "e + 8", "w": "d + 4", "a": "w + 17", "p": "a + 11", "l": "p + 8", "y": "l + 5", "n": "e + 15", "s": "n + 19", "i": "s + 20", "h": "i + 5", "u": "h + 8", "g": "u + 15", "e": 16}, "premises": {"e": 16}, "target": "y"}, "answer": {"steps": [["l", "p + 8", "p + 13"], ["p", "a + 11", "a + 24"], ["a", "w + 17", "w + 41"], ["w", "d + 4", "d + 45"], ["d", "e + 8", "e + 53"], ["e", 16, "69"]], "target_var_name": "y", "target_value": 69, "value_dict": {"e": 16}, "is_reverse": true}} | 15,344 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = i + 5; e = 16; n = e + 15; p = a + 11; g = u + 15; l = p + 8; d = e + 8; u = h + 8; y = l + 5; i = s + 20; a = w + 17; s = n + 19; w = d + 4. If e = 16, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 8 to y, which gives y = p + 13.\n2. Substitute p = a + 11 to y, which gives y = a + 24.\n3. Substitute a = w + 17 to y, which gives y = w + 41.\n4. Substitute w = d + 4 to y, which gives y = d + 45.\n5. Substitute d = e + 8 to y, which gives y = e + 53.\n6. Substitute e = 16 to y, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 15344,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = i + 5; e = 16; n = e + 15; p = a + 11; g = u + 15; l = p + 8; d = e + 8; u = h + 8; y = l + 5; i = s + 20; a = w + 17; s = n + 19; w = d + 4. If e = 16, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 3", "x": "z + 17", "e": "x + 13", "l": "e + 3", "q": "l + 4", "v": "q + 11", "g": "i + 19", "u": "g + 9", "r": "u + 10", "y": "r + 12", "b": "y + 12", "n": "b + 4", "i": 8}, "premises": {"i": 8}, "target": "v"}, "answer": {"steps": [["q", "l + 4", "l + 15"], ["l", "e + 3", "e + 18"], ["e", "x + 13", "x + 31"], ["x", "z + 17", "z + 48"], ["z", "i + 3", "i + 51"], ["i", 8, "59"]], "target_var_name": "v", "target_value": 59, "value_dict": {"i": 8}, "is_reverse": true}} | 15,345 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 8; v = q + 11; y = r + 12; b = y + 12; r = u + 10; u = g + 9; z = i + 3; n = b + 4; x = z + 17; l = e + 3; e = x + 13; g = i + 19; q = l + 4. If i = 8, 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 q = l + 4 to v, which gives v = l + 15.\n2. Substitute l = e + 3 to v, which gives v = e + 18.\n3. Substitute e = x + 13 to v, which gives v = x + 31.\n4. Substitute x = z + 17 to v, which gives v = z + 48.\n5. Substitute z = i + 3 to v, which gives v = i + 51.\n6. Substitute i = 8 to v, which gives v = 59.\n\nThus, the final answer is v = \\boxed{59}.",
"index": 15345,
"question": "Consider a system of variables where each variable is defined as follows: i = 8; v = q + 11; y = r + 12; b = y + 12; r = u + 10; u = g + 9; z = i + 3; n = b + 4; x = z + 17; l = e + 3; e = x + 13; g = i + 19; q = l + 4. If i = 8, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 16", "q": "j + 18", "e": "q + 16", "r": "e + 6", "u": "r + 4", "i": "u + 9", "c": "x + 7", "m": "c + 7", "l": "m + 18", "k": "l + 10", "z": "k + 16", "g": "z + 12", "x": 5}, "premises": {"x": 5}, "target": "i"}, "answer": {"steps": [["u", "r + 4", "r + 13"], ["r", "e + 6", "e + 19"], ["e", "q + 16", "q + 35"], ["q", "j + 18", "j + 53"], ["j", "x + 16", "x + 69"], ["x", 5, "74"]], "target_var_name": "i", "target_value": 74, "value_dict": {"x": 5}, "is_reverse": true}} | 15,346 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 16; m = c + 7; r = e + 6; g = z + 12; c = x + 7; k = l + 10; u = r + 4; l = m + 18; e = q + 16; z = k + 16; q = j + 18; x = 5; i = u + 9. If x = 5, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 4 to i, which gives i = r + 13.\n2. Substitute r = e + 6 to i, which gives i = e + 19.\n3. Substitute e = q + 16 to i, which gives i = q + 35.\n4. Substitute q = j + 18 to i, which gives i = j + 53.\n5. Substitute j = x + 16 to i, which gives i = x + 69.\n6. Substitute x = 5 to i, which gives i = 74.\n\nThus, the final answer is i = \\boxed{74}.",
"index": 15346,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 16; m = c + 7; r = e + 6; g = z + 12; c = x + 7; k = l + 10; u = r + 4; l = m + 18; e = q + 16; z = k + 16; q = j + 18; x = 5; i = u + 9. If x = 5, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "m + 1", "n": "w + 12", "b": "n + 2", "v": "b + 11", "h": "v + 6", "z": "h + 12", "i": "m + 10", "t": "i + 13", "r": "t + 6", "a": "r + 12", "p": "a + 6", "s": "p + 2", "m": 4}, "premises": {"m": 4}, "target": "z"}, "answer": {"steps": [["h", "v + 6", "v + 18"], ["v", "b + 11", "b + 29"], ["b", "n + 2", "n + 31"], ["n", "w + 12", "w + 43"], ["w", "m + 1", "m + 44"], ["m", 4, "48"]], "target_var_name": "z", "target_value": 48, "value_dict": {"m": 4}, "is_reverse": true}} | 15,347 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = a + 6; v = b + 11; m = 4; i = m + 10; h = v + 6; b = n + 2; t = i + 13; r = t + 6; w = m + 1; n = w + 12; a = r + 12; z = h + 12; s = p + 2. If m = 4, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 6 to z, which gives z = v + 18.\n2. Substitute v = b + 11 to z, which gives z = b + 29.\n3. Substitute b = n + 2 to z, which gives z = n + 31.\n4. Substitute n = w + 12 to z, which gives z = w + 43.\n5. Substitute w = m + 1 to z, which gives z = m + 44.\n6. Substitute m = 4 to z, which gives z = 48.\n\nThus, the final answer is z = \\boxed{48}.",
"index": 15347,
"question": "Consider a system of variables where each variable is defined as follows: p = a + 6; v = b + 11; m = 4; i = m + 10; h = v + 6; b = n + 2; t = i + 13; r = t + 6; w = m + 1; n = w + 12; a = r + 12; z = h + 12; s = p + 2. If m = 4, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"v": "u + 17", "a": "v + 1", "w": "a + 1", "t": "w + 7", "h": "t + 6", "e": "h + 14", "n": "u + 18", "g": "n + 12", "b": "g + 18", "x": "b + 19", "j": "x + 19", "s": "j + 13", "u": 6}, "premises": {"u": 6}, "target": "e"}, "answer": {"steps": [["h", "t + 6", "t + 20"], ["t", "w + 7", "w + 27"], ["w", "a + 1", "a + 28"], ["a", "v + 1", "v + 29"], ["v", "u + 17", "u + 46"], ["u", 6, "52"]], "target_var_name": "e", "target_value": 52, "value_dict": {"u": 6}, "is_reverse": true}} | 15,348 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = a + 1; h = t + 6; s = j + 13; x = b + 19; v = u + 17; b = g + 18; n = u + 18; a = v + 1; u = 6; t = w + 7; j = x + 19; g = n + 12; e = h + 14. If u = 6, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 6 to e, which gives e = t + 20.\n2. Substitute t = w + 7 to e, which gives e = w + 27.\n3. Substitute w = a + 1 to e, which gives e = a + 28.\n4. Substitute a = v + 1 to e, which gives e = v + 29.\n5. Substitute v = u + 17 to e, which gives e = u + 46.\n6. Substitute u = 6 to e, which gives e = 52.\n\nThus, the final answer is e = \\boxed{52}.",
"index": 15348,
"question": "Consider a system of variables where each variable is defined as follows: w = a + 1; h = t + 6; s = j + 13; x = b + 19; v = u + 17; b = g + 18; n = u + 18; a = v + 1; u = 6; t = w + 7; j = x + 19; g = n + 12; e = h + 14. If u = 6, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"h": "s + 17", "g": "h + 18", "e": "g + 19", "k": "e + 5", "y": "k + 8", "p": "y + 14", "m": "s + 1", "d": "m + 18", "n": "d + 15", "r": "n + 1", "c": "r + 4", "t": "c + 11", "s": 2}, "premises": {"s": 2}, "target": "p"}, "answer": {"steps": [["y", "k + 8", "k + 22"], ["k", "e + 5", "e + 27"], ["e", "g + 19", "g + 46"], ["g", "h + 18", "h + 64"], ["h", "s + 17", "s + 81"], ["s", 2, "83"]], "target_var_name": "p", "target_value": 83, "value_dict": {"s": 2}, "is_reverse": true}} | 15,349 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = g + 19; p = y + 14; t = c + 11; r = n + 1; c = r + 4; y = k + 8; d = m + 18; k = e + 5; n = d + 15; m = s + 1; h = s + 17; s = 2; g = h + 18. If s = 2, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 8 to p, which gives p = k + 22.\n2. Substitute k = e + 5 to p, which gives p = e + 27.\n3. Substitute e = g + 19 to p, which gives p = g + 46.\n4. Substitute g = h + 18 to p, which gives p = h + 64.\n5. Substitute h = s + 17 to p, which gives p = s + 81.\n6. Substitute s = 2 to p, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 15349,
"question": "Consider a system of variables where each variable is defined as follows: e = g + 19; p = y + 14; t = c + 11; r = n + 1; c = r + 4; y = k + 8; d = m + 18; k = e + 5; n = d + 15; m = s + 1; h = s + 17; s = 2; g = h + 18. If s = 2, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"l": "t + 7", "f": "l + 14", "q": "f + 3", "h": "q + 9", "x": "h + 13", "u": "x + 7", "a": "t + 15", "r": "a + 20", "n": "r + 8", "j": "n + 15", "p": "j + 5", "i": "p + 4", "t": 7}, "premises": {"t": 7}, "target": "u"}, "answer": {"steps": [["x", "h + 13", "h + 20"], ["h", "q + 9", "q + 29"], ["q", "f + 3", "f + 32"], ["f", "l + 14", "l + 46"], ["l", "t + 7", "t + 53"], ["t", 7, "60"]], "target_var_name": "u", "target_value": 60, "value_dict": {"t": 7}, "is_reverse": true}} | 15,350 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 7; a = t + 15; j = n + 15; n = r + 8; h = q + 9; t = 7; p = j + 5; q = f + 3; i = p + 4; r = a + 20; f = l + 14; x = h + 13; u = x + 7. If t = 7, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 13 to u, which gives u = h + 20.\n2. Substitute h = q + 9 to u, which gives u = q + 29.\n3. Substitute q = f + 3 to u, which gives u = f + 32.\n4. Substitute f = l + 14 to u, which gives u = l + 46.\n5. Substitute l = t + 7 to u, which gives u = t + 53.\n6. Substitute t = 7 to u, which gives u = 60.\n\nThus, the final answer is u = \\boxed{60}.",
"index": 15350,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 7; a = t + 15; j = n + 15; n = r + 8; h = q + 9; t = 7; p = j + 5; q = f + 3; i = p + 4; r = a + 20; f = l + 14; x = h + 13; u = x + 7. If t = 7, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 20", "y": "r + 10", "p": "y + 2", "d": "p + 8", "i": "d + 17", "o": "i + 17", "h": "c + 9", "a": "h + 7", "s": "a + 6", "z": "s + 7", "w": "z + 2", "u": "w + 11", "c": 1}, "premises": {"c": 1}, "target": "o"}, "answer": {"steps": [["i", "d + 17", "d + 34"], ["d", "p + 8", "p + 42"], ["p", "y + 2", "y + 44"], ["y", "r + 10", "r + 54"], ["r", "c + 20", "c + 74"], ["c", 1, "75"]], "target_var_name": "o", "target_value": 75, "value_dict": {"c": 1}, "is_reverse": true}} | 15,351 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = 1; y = r + 10; i = d + 17; r = c + 20; d = p + 8; p = y + 2; a = h + 7; h = c + 9; s = a + 6; u = w + 11; z = s + 7; w = z + 2; o = i + 17. If c = 1, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 17 to o, which gives o = d + 34.\n2. Substitute d = p + 8 to o, which gives o = p + 42.\n3. Substitute p = y + 2 to o, which gives o = y + 44.\n4. Substitute y = r + 10 to o, which gives o = r + 54.\n5. Substitute r = c + 20 to o, which gives o = c + 74.\n6. Substitute c = 1 to o, which gives o = 75.\n\nThus, the final answer is o = \\boxed{75}.",
"index": 15351,
"question": "Consider a system of variables where each variable is defined as follows: c = 1; y = r + 10; i = d + 17; r = c + 20; d = p + 8; p = y + 2; a = h + 7; h = c + 9; s = a + 6; u = w + 11; z = s + 7; w = z + 2; o = i + 17. If c = 1, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 17", "x": "z + 19", "t": "x + 1", "w": "t + 12", "c": "w + 17", "e": "c + 2", "f": "y + 13", "n": "f + 3", "h": "n + 1", "a": "h + 9", "j": "a + 2", "b": "j + 15", "y": 5}, "premises": {"y": 5}, "target": "e"}, "answer": {"steps": [["c", "w + 17", "w + 19"], ["w", "t + 12", "t + 31"], ["t", "x + 1", "x + 32"], ["x", "z + 19", "z + 51"], ["z", "y + 17", "y + 68"], ["y", 5, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"y": 5}, "is_reverse": true}} | 15,352 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = y + 13; w = t + 12; n = f + 3; z = y + 17; a = h + 9; e = c + 2; x = z + 19; j = a + 2; b = j + 15; h = n + 1; y = 5; t = x + 1; c = w + 17. Given that y = 5, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 17 to e, which gives e = w + 19.\n2. Substitute w = t + 12 to e, which gives e = t + 31.\n3. Substitute t = x + 1 to e, which gives e = x + 32.\n4. Substitute x = z + 19 to e, which gives e = z + 51.\n5. Substitute z = y + 17 to e, which gives e = y + 68.\n6. Substitute y = 5 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 15352,
"question": "Suppose a collection of variables is related by the following definitions: f = y + 13; w = t + 12; n = f + 3; z = y + 17; a = h + 9; e = c + 2; x = z + 19; j = a + 2; b = j + 15; h = n + 1; y = 5; t = x + 1; c = w + 17. Given that y = 5, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 12", "k": "d + 19", "q": "k + 14", "v": "q + 17", "o": "v + 19", "p": "o + 11", "f": "a + 10", "i": "f + 6", "g": "i + 16", "w": "g + 9", "r": "w + 11", "n": "r + 16", "a": 14}, "premises": {"a": 14}, "target": "p"}, "answer": {"steps": [["o", "v + 19", "v + 30"], ["v", "q + 17", "q + 47"], ["q", "k + 14", "k + 61"], ["k", "d + 19", "d + 80"], ["d", "a + 12", "a + 92"], ["a", 14, "106"]], "target_var_name": "p", "target_value": 106, "value_dict": {"a": 14}, "is_reverse": true}} | 15,353 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = r + 16; a = 14; f = a + 10; o = v + 19; p = o + 11; w = g + 9; g = i + 16; i = f + 6; d = a + 12; v = q + 17; r = w + 11; k = d + 19; q = k + 14. If a = 14, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 19 to p, which gives p = v + 30.\n2. Substitute v = q + 17 to p, which gives p = q + 47.\n3. Substitute q = k + 14 to p, which gives p = k + 61.\n4. Substitute k = d + 19 to p, which gives p = d + 80.\n5. Substitute d = a + 12 to p, which gives p = a + 92.\n6. Substitute a = 14 to p, which gives p = 106.\n\nThus, the final answer is p = \\boxed{106}.",
"index": 15353,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = r + 16; a = 14; f = a + 10; o = v + 19; p = o + 11; w = g + 9; g = i + 16; i = f + 6; d = a + 12; v = q + 17; r = w + 11; k = d + 19; q = k + 14. If a = 14, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 12", "x": "v + 8", "d": "x + 20", "i": "d + 20", "w": "i + 14", "g": "w + 5", "u": "h + 13", "p": "u + 12", "y": "p + 16", "k": "y + 7", "b": "k + 18", "n": "b + 17", "h": 19}, "premises": {"h": 19}, "target": "g"}, "answer": {"steps": [["w", "i + 14", "i + 19"], ["i", "d + 20", "d + 39"], ["d", "x + 20", "x + 59"], ["x", "v + 8", "v + 67"], ["v", "h + 12", "h + 79"], ["h", 19, "98"]], "target_var_name": "g", "target_value": 98, "value_dict": {"h": 19}, "is_reverse": true}} | 15,354 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = h + 13; k = y + 7; d = x + 20; b = k + 18; p = u + 12; y = p + 16; g = w + 5; h = 19; w = i + 14; i = d + 20; v = h + 12; n = b + 17; x = v + 8. Given that h = 19, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 14 to g, which gives g = i + 19.\n2. Substitute i = d + 20 to g, which gives g = d + 39.\n3. Substitute d = x + 20 to g, which gives g = x + 59.\n4. Substitute x = v + 8 to g, which gives g = v + 67.\n5. Substitute v = h + 12 to g, which gives g = h + 79.\n6. Substitute h = 19 to g, which gives g = 98.\n\nThus, the final answer is g = \\boxed{98}.",
"index": 15354,
"question": "Suppose a collection of variables is related by the following definitions: u = h + 13; k = y + 7; d = x + 20; b = k + 18; p = u + 12; y = p + 16; g = w + 5; h = 19; w = i + 14; i = d + 20; v = h + 12; n = b + 17; x = v + 8. Given that h = 19, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 7", "d": "p + 15", "u": "d + 8", "k": "u + 2", "s": "k + 7", "f": "s + 8", "c": "a + 2", "h": "c + 2", "j": "h + 2", "z": "j + 6", "w": "z + 8", "b": "w + 19", "a": 1}, "premises": {"a": 1}, "target": "f"}, "answer": {"steps": [["s", "k + 7", "k + 15"], ["k", "u + 2", "u + 17"], ["u", "d + 8", "d + 25"], ["d", "p + 15", "p + 40"], ["p", "a + 7", "a + 47"], ["a", 1, "48"]], "target_var_name": "f", "target_value": 48, "value_dict": {"a": 1}, "is_reverse": true}} | 15,355 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = k + 7; w = z + 8; j = h + 2; b = w + 19; z = j + 6; c = a + 2; f = s + 8; h = c + 2; a = 1; u = d + 8; d = p + 15; k = u + 2; p = a + 7. If a = 1, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 7 to f, which gives f = k + 15.\n2. Substitute k = u + 2 to f, which gives f = u + 17.\n3. Substitute u = d + 8 to f, which gives f = d + 25.\n4. Substitute d = p + 15 to f, which gives f = p + 40.\n5. Substitute p = a + 7 to f, which gives f = a + 47.\n6. Substitute a = 1 to f, which gives f = 48.\n\nThus, the final answer is f = \\boxed{48}.",
"index": 15355,
"question": "Consider a system of variables where each variable is defined as follows: s = k + 7; w = z + 8; j = h + 2; b = w + 19; z = j + 6; c = a + 2; f = s + 8; h = c + 2; a = 1; u = d + 8; d = p + 15; k = u + 2; p = a + 7. If a = 1, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 6", "s": "y + 19", "i": "s + 19", "h": "i + 14", "a": "h + 10", "n": "a + 8", "f": "m + 4", "z": "f + 13", "l": "z + 17", "j": "l + 20", "u": "j + 3", "g": "u + 2", "m": 20}, "premises": {"m": 20}, "target": "n"}, "answer": {"steps": [["a", "h + 10", "h + 18"], ["h", "i + 14", "i + 32"], ["i", "s + 19", "s + 51"], ["s", "y + 19", "y + 70"], ["y", "m + 6", "m + 76"], ["m", 20, "96"]], "target_var_name": "n", "target_value": 96, "value_dict": {"m": 20}, "is_reverse": true}} | 15,356 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = 20; j = l + 20; s = y + 19; f = m + 4; l = z + 17; n = a + 8; y = m + 6; a = h + 10; u = j + 3; h = i + 14; g = u + 2; z = f + 13; i = s + 19. If m = 20, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 10 to n, which gives n = h + 18.\n2. Substitute h = i + 14 to n, which gives n = i + 32.\n3. Substitute i = s + 19 to n, which gives n = s + 51.\n4. Substitute s = y + 19 to n, which gives n = y + 70.\n5. Substitute y = m + 6 to n, which gives n = m + 76.\n6. Substitute m = 20 to n, which gives n = 96.\n\nThus, the final answer is n = \\boxed{96}.",
"index": 15356,
"question": "Consider a system of variables where each variable is defined as follows: m = 20; j = l + 20; s = y + 19; f = m + 4; l = z + 17; n = a + 8; y = m + 6; a = h + 10; u = j + 3; h = i + 14; g = u + 2; z = f + 13; i = s + 19. If m = 20, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 3", "y": "w + 1", "f": "y + 5", "x": "f + 18", "z": "x + 16", "h": "z + 19", "p": "l + 18", "e": "p + 4", "d": "e + 11", "j": "d + 12", "a": "j + 20", "q": "a + 13", "l": 2}, "premises": {"l": 2}, "target": "h"}, "answer": {"steps": [["z", "x + 16", "x + 35"], ["x", "f + 18", "f + 53"], ["f", "y + 5", "y + 58"], ["y", "w + 1", "w + 59"], ["w", "l + 3", "l + 62"], ["l", 2, "64"]], "target_var_name": "h", "target_value": 64, "value_dict": {"l": 2}, "is_reverse": true}} | 15,357 | 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 = a + 13; h = z + 19; e = p + 4; a = j + 20; y = w + 1; f = y + 5; j = d + 12; l = 2; z = x + 16; x = f + 18; p = l + 18; d = e + 11; w = l + 3. If l = 2, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 16 to h, which gives h = x + 35.\n2. Substitute x = f + 18 to h, which gives h = f + 53.\n3. Substitute f = y + 5 to h, which gives h = y + 58.\n4. Substitute y = w + 1 to h, which gives h = w + 59.\n5. Substitute w = l + 3 to h, which gives h = l + 62.\n6. Substitute l = 2 to h, which gives h = 64.\n\nThus, the final answer is h = \\boxed{64}.",
"index": 15357,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 13; h = z + 19; e = p + 4; a = j + 20; y = w + 1; f = y + 5; j = d + 12; l = 2; z = x + 16; x = f + 18; p = l + 18; d = e + 11; w = l + 3. If l = 2, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"g": "b + 13", "m": "g + 3", "x": "m + 2", "l": "x + 6", "c": "l + 1", "y": "c + 11", "p": "b + 3", "t": "p + 10", "f": "t + 11", "z": "f + 2", "i": "z + 2", "k": "i + 9", "b": 12}, "premises": {"b": 12}, "target": "y"}, "answer": {"steps": [["c", "l + 1", "l + 12"], ["l", "x + 6", "x + 18"], ["x", "m + 2", "m + 20"], ["m", "g + 3", "g + 23"], ["g", "b + 13", "b + 36"], ["b", 12, "48"]], "target_var_name": "y", "target_value": 48, "value_dict": {"b": 12}, "is_reverse": true}} | 15,358 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = p + 10; y = c + 11; g = b + 13; l = x + 6; i = z + 2; p = b + 3; c = l + 1; z = f + 2; m = g + 3; b = 12; x = m + 2; k = i + 9; f = t + 11. If b = 12, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 1 to y, which gives y = l + 12.\n2. Substitute l = x + 6 to y, which gives y = x + 18.\n3. Substitute x = m + 2 to y, which gives y = m + 20.\n4. Substitute m = g + 3 to y, which gives y = g + 23.\n5. Substitute g = b + 13 to y, which gives y = b + 36.\n6. Substitute b = 12 to y, which gives y = 48.\n\nThus, the final answer is y = \\boxed{48}.",
"index": 15358,
"question": "Consider a system of variables where each variable is defined as follows: t = p + 10; y = c + 11; g = b + 13; l = x + 6; i = z + 2; p = b + 3; c = l + 1; z = f + 2; m = g + 3; b = 12; x = m + 2; k = i + 9; f = t + 11. If b = 12, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 11", "s": "n + 19", "p": "s + 1", "h": "p + 6", "v": "h + 11", "y": "v + 3", "j": "r + 8", "z": "j + 1", "q": "z + 5", "g": "q + 1", "d": "g + 6", "k": "d + 3", "r": 18}, "premises": {"r": 18}, "target": "y"}, "answer": {"steps": [["v", "h + 11", "h + 14"], ["h", "p + 6", "p + 20"], ["p", "s + 1", "s + 21"], ["s", "n + 19", "n + 40"], ["n", "r + 11", "r + 51"], ["r", 18, "69"]], "target_var_name": "y", "target_value": 69, "value_dict": {"r": 18}, "is_reverse": true}} | 15,359 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = j + 1; v = h + 11; s = n + 19; j = r + 8; r = 18; n = r + 11; h = p + 6; y = v + 3; d = g + 6; p = s + 1; k = d + 3; g = q + 1; q = z + 5. If r = 18, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 11 to y, which gives y = h + 14.\n2. Substitute h = p + 6 to y, which gives y = p + 20.\n3. Substitute p = s + 1 to y, which gives y = s + 21.\n4. Substitute s = n + 19 to y, which gives y = n + 40.\n5. Substitute n = r + 11 to y, which gives y = r + 51.\n6. Substitute r = 18 to y, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 15359,
"question": "Consider a system of variables where each variable is defined as follows: z = j + 1; v = h + 11; s = n + 19; j = r + 8; r = 18; n = r + 11; h = p + 6; y = v + 3; d = g + 6; p = s + 1; k = d + 3; g = q + 1; q = z + 5. If r = 18, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"u": "y + 13", "w": "u + 1", "h": "w + 1", "n": "h + 1", "t": "n + 12", "p": "t + 2", "a": "y + 17", "i": "a + 13", "c": "i + 18", "m": "c + 17", "r": "m + 20", "z": "r + 16", "y": 7}, "premises": {"y": 7}, "target": "p"}, "answer": {"steps": [["t", "n + 12", "n + 14"], ["n", "h + 1", "h + 15"], ["h", "w + 1", "w + 16"], ["w", "u + 1", "u + 17"], ["u", "y + 13", "y + 30"], ["y", 7, "37"]], "target_var_name": "p", "target_value": 37, "value_dict": {"y": 7}, "is_reverse": true}} | 15,360 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = m + 20; p = t + 2; n = h + 1; i = a + 13; m = c + 17; h = w + 1; w = u + 1; y = 7; a = y + 17; t = n + 12; z = r + 16; c = i + 18; u = y + 13. Given that y = 7, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 37,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 12 to p, which gives p = n + 14.\n2. Substitute n = h + 1 to p, which gives p = h + 15.\n3. Substitute h = w + 1 to p, which gives p = w + 16.\n4. Substitute w = u + 1 to p, which gives p = u + 17.\n5. Substitute u = y + 13 to p, which gives p = y + 30.\n6. Substitute y = 7 to p, which gives p = 37.\n\nThus, the final answer is p = \\boxed{37}.",
"index": 15360,
"question": "Suppose a collection of variables is related by the following definitions: r = m + 20; p = t + 2; n = h + 1; i = a + 13; m = c + 17; h = w + 1; w = u + 1; y = 7; a = y + 17; t = n + 12; z = r + 16; c = i + 18; u = y + 13. Given that y = 7, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 1", "p": "x + 11", "s": "p + 7", "a": "s + 19", "t": "a + 3", "d": "t + 4", "l": "k + 7", "i": "l + 9", "h": "i + 6", "o": "h + 18", "f": "o + 20", "r": "f + 8", "k": 3}, "premises": {"k": 3}, "target": "d"}, "answer": {"steps": [["t", "a + 3", "a + 7"], ["a", "s + 19", "s + 26"], ["s", "p + 7", "p + 33"], ["p", "x + 11", "x + 44"], ["x", "k + 1", "k + 45"], ["k", 3, "48"]], "target_var_name": "d", "target_value": 48, "value_dict": {"k": 3}, "is_reverse": true}} | 15,361 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = o + 20; a = s + 19; l = k + 7; o = h + 18; h = i + 6; p = x + 11; d = t + 4; s = p + 7; r = f + 8; t = a + 3; k = 3; x = k + 1; i = l + 9. If k = 3, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 3 to d, which gives d = a + 7.\n2. Substitute a = s + 19 to d, which gives d = s + 26.\n3. Substitute s = p + 7 to d, which gives d = p + 33.\n4. Substitute p = x + 11 to d, which gives d = x + 44.\n5. Substitute x = k + 1 to d, which gives d = k + 45.\n6. Substitute k = 3 to d, which gives d = 48.\n\nThus, the final answer is d = \\boxed{48}.",
"index": 15361,
"question": "Consider a system of variables where each variable is defined as follows: f = o + 20; a = s + 19; l = k + 7; o = h + 18; h = i + 6; p = x + 11; d = t + 4; s = p + 7; r = f + 8; t = a + 3; k = 3; x = k + 1; i = l + 9. If k = 3, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 1", "m": "z + 11", "f": "m + 11", "k": "f + 9", "v": "k + 19", "h": "v + 17", "o": "b + 3", "d": "o + 10", "x": "d + 6", "g": "x + 13", "l": "g + 9", "p": "l + 18", "b": 19}, "premises": {"b": 19}, "target": "h"}, "answer": {"steps": [["v", "k + 19", "k + 36"], ["k", "f + 9", "f + 45"], ["f", "m + 11", "m + 56"], ["m", "z + 11", "z + 67"], ["z", "b + 1", "b + 68"], ["b", 19, "87"]], "target_var_name": "h", "target_value": 87, "value_dict": {"b": 19}, "is_reverse": true}} | 15,362 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = b + 1; k = f + 9; o = b + 3; g = x + 13; p = l + 18; f = m + 11; b = 19; m = z + 11; l = g + 9; h = v + 17; v = k + 19; x = d + 6; d = o + 10. If b = 19, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 19 to h, which gives h = k + 36.\n2. Substitute k = f + 9 to h, which gives h = f + 45.\n3. Substitute f = m + 11 to h, which gives h = m + 56.\n4. Substitute m = z + 11 to h, which gives h = z + 67.\n5. Substitute z = b + 1 to h, which gives h = b + 68.\n6. Substitute b = 19 to h, which gives h = 87.\n\nThus, the final answer is h = \\boxed{87}.",
"index": 15362,
"question": "Consider a system of variables where each variable is defined as follows: z = b + 1; k = f + 9; o = b + 3; g = x + 13; p = l + 18; f = m + 11; b = 19; m = z + 11; l = g + 9; h = v + 17; v = k + 19; x = d + 6; d = o + 10. If b = 19, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "e + 8", "g": "u + 13", "t": "g + 18", "w": "t + 20", "k": "w + 7", "d": "k + 19", "p": "e + 5", "y": "p + 13", "a": "y + 9", "q": "a + 2", "n": "q + 1", "s": "n + 5", "e": 1}, "premises": {"e": 1}, "target": "d"}, "answer": {"steps": [["k", "w + 7", "w + 26"], ["w", "t + 20", "t + 46"], ["t", "g + 18", "g + 64"], ["g", "u + 13", "u + 77"], ["u", "e + 8", "e + 85"], ["e", 1, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"e": 1}, "is_reverse": true}} | 15,363 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 1; q = a + 2; g = u + 13; e = 1; d = k + 19; t = g + 18; s = n + 5; a = y + 9; k = w + 7; u = e + 8; y = p + 13; w = t + 20; p = e + 5. If e = 1, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 7 to d, which gives d = w + 26.\n2. Substitute w = t + 20 to d, which gives d = t + 46.\n3. Substitute t = g + 18 to d, which gives d = g + 64.\n4. Substitute g = u + 13 to d, which gives d = u + 77.\n5. Substitute u = e + 8 to d, which gives d = e + 85.\n6. Substitute e = 1 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 15363,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 1; q = a + 2; g = u + 13; e = 1; d = k + 19; t = g + 18; s = n + 5; a = y + 9; k = w + 7; u = e + 8; y = p + 13; w = t + 20; p = e + 5. If e = 1, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 8", "n": "x + 14", "u": "n + 11", "t": "u + 7", "r": "t + 6", "e": "r + 4", "w": "i + 1", "o": "w + 6", "y": "o + 1", "j": "y + 6", "p": "j + 5", "g": "p + 11", "i": 18}, "premises": {"i": 18}, "target": "e"}, "answer": {"steps": [["r", "t + 6", "t + 10"], ["t", "u + 7", "u + 17"], ["u", "n + 11", "n + 28"], ["n", "x + 14", "x + 42"], ["x", "i + 8", "i + 50"], ["i", 18, "68"]], "target_var_name": "e", "target_value": 68, "value_dict": {"i": 18}, "is_reverse": true}} | 15,364 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = i + 8; n = x + 14; p = j + 5; g = p + 11; o = w + 6; e = r + 4; t = u + 7; i = 18; r = t + 6; y = o + 1; u = n + 11; w = i + 1; j = y + 6. If i = 18, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 6 to e, which gives e = t + 10.\n2. Substitute t = u + 7 to e, which gives e = u + 17.\n3. Substitute u = n + 11 to e, which gives e = n + 28.\n4. Substitute n = x + 14 to e, which gives e = x + 42.\n5. Substitute x = i + 8 to e, which gives e = i + 50.\n6. Substitute i = 18 to e, which gives e = 68.\n\nThus, the final answer is e = \\boxed{68}.",
"index": 15364,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = i + 8; n = x + 14; p = j + 5; g = p + 11; o = w + 6; e = r + 4; t = u + 7; i = 18; r = t + 6; y = o + 1; u = n + 11; w = i + 1; j = y + 6. If i = 18, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 11", "d": "x + 15", "k": "d + 7", "i": "k + 10", "o": "i + 15", "c": "o + 19", "b": "g + 2", "z": "b + 13", "v": "z + 18", "p": "v + 13", "w": "p + 10", "s": "w + 5", "g": 20}, "premises": {"g": 20}, "target": "c"}, "answer": {"steps": [["o", "i + 15", "i + 34"], ["i", "k + 10", "k + 44"], ["k", "d + 7", "d + 51"], ["d", "x + 15", "x + 66"], ["x", "g + 11", "g + 77"], ["g", 20, "97"]], "target_var_name": "c", "target_value": 97, "value_dict": {"g": 20}, "is_reverse": true}} | 15,365 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = z + 18; k = d + 7; d = x + 15; c = o + 19; w = p + 10; s = w + 5; b = g + 2; i = k + 10; z = b + 13; g = 20; p = v + 13; x = g + 11; o = i + 15. Given that g = 20, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = i + 15 to c, which gives c = i + 34.\n2. Substitute i = k + 10 to c, which gives c = k + 44.\n3. Substitute k = d + 7 to c, which gives c = d + 51.\n4. Substitute d = x + 15 to c, which gives c = x + 66.\n5. Substitute x = g + 11 to c, which gives c = g + 77.\n6. Substitute g = 20 to c, which gives c = 97.\n\nThus, the final answer is c = \\boxed{97}.",
"index": 15365,
"question": "Suppose a collection of variables is related by the following definitions: v = z + 18; k = d + 7; d = x + 15; c = o + 19; w = p + 10; s = w + 5; b = g + 2; i = k + 10; z = b + 13; g = 20; p = v + 13; x = g + 11; o = i + 15. Given that g = 20, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 5", "z": "p + 4", "a": "z + 15", "m": "a + 15", "v": "m + 4", "d": "v + 2", "b": "r + 1", "c": "b + 8", "y": "c + 14", "j": "y + 12", "l": "j + 9", "u": "l + 20", "r": 2}, "premises": {"r": 2}, "target": "d"}, "answer": {"steps": [["v", "m + 4", "m + 6"], ["m", "a + 15", "a + 21"], ["a", "z + 15", "z + 36"], ["z", "p + 4", "p + 40"], ["p", "r + 5", "r + 45"], ["r", 2, "47"]], "target_var_name": "d", "target_value": 47, "value_dict": {"r": 2}, "is_reverse": true}} | 15,366 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = p + 4; b = r + 1; u = l + 20; y = c + 14; m = a + 15; v = m + 4; p = r + 5; r = 2; d = v + 2; a = z + 15; l = j + 9; j = y + 12; c = b + 8. Given that r = 2, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 4 to d, which gives d = m + 6.\n2. Substitute m = a + 15 to d, which gives d = a + 21.\n3. Substitute a = z + 15 to d, which gives d = z + 36.\n4. Substitute z = p + 4 to d, which gives d = p + 40.\n5. Substitute p = r + 5 to d, which gives d = r + 45.\n6. Substitute r = 2 to d, which gives d = 47.\n\nThus, the final answer is d = \\boxed{47}.",
"index": 15366,
"question": "Suppose a collection of variables is related by the following definitions: z = p + 4; b = r + 1; u = l + 20; y = c + 14; m = a + 15; v = m + 4; p = r + 5; r = 2; d = v + 2; a = z + 15; l = j + 9; j = y + 12; c = b + 8. Given that r = 2, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 17", "u": "h + 1", "p": "u + 12", "e": "p + 19", "b": "e + 9", "w": "b + 6", "k": "a + 3", "r": "k + 20", "s": "r + 15", "j": "s + 4", "n": "j + 15", "v": "n + 18", "a": 5}, "premises": {"a": 5}, "target": "w"}, "answer": {"steps": [["b", "e + 9", "e + 15"], ["e", "p + 19", "p + 34"], ["p", "u + 12", "u + 46"], ["u", "h + 1", "h + 47"], ["h", "a + 17", "a + 64"], ["a", 5, "69"]], "target_var_name": "w", "target_value": 69, "value_dict": {"a": 5}, "is_reverse": true}} | 15,367 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = h + 1; e = p + 19; h = a + 17; r = k + 20; n = j + 15; v = n + 18; b = e + 9; j = s + 4; k = a + 3; s = r + 15; a = 5; w = b + 6; p = u + 12. Given that a = 5, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 9 to w, which gives w = e + 15.\n2. Substitute e = p + 19 to w, which gives w = p + 34.\n3. Substitute p = u + 12 to w, which gives w = u + 46.\n4. Substitute u = h + 1 to w, which gives w = h + 47.\n5. Substitute h = a + 17 to w, which gives w = a + 64.\n6. Substitute a = 5 to w, which gives w = 69.\n\nThus, the final answer is w = \\boxed{69}.",
"index": 15367,
"question": "Suppose a collection of variables is related by the following definitions: u = h + 1; e = p + 19; h = a + 17; r = k + 20; n = j + 15; v = n + 18; b = e + 9; j = s + 4; k = a + 3; s = r + 15; a = 5; w = b + 6; p = u + 12. Given that a = 5, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 11", "h": "g + 20", "s": "h + 10", "u": "s + 2", "z": "u + 10", "p": "z + 1", "v": "m + 10", "q": "v + 17", "n": "q + 1", "f": "n + 6", "c": "f + 14", "d": "c + 1", "m": 18}, "premises": {"m": 18}, "target": "p"}, "answer": {"steps": [["z", "u + 10", "u + 11"], ["u", "s + 2", "s + 13"], ["s", "h + 10", "h + 23"], ["h", "g + 20", "g + 43"], ["g", "m + 11", "m + 54"], ["m", 18, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"m": 18}, "is_reverse": true}} | 15,368 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = z + 1; f = n + 6; z = u + 10; m = 18; d = c + 1; g = m + 11; q = v + 17; c = f + 14; s = h + 10; u = s + 2; n = q + 1; v = m + 10; h = g + 20. Given that m = 18, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 10 to p, which gives p = u + 11.\n2. Substitute u = s + 2 to p, which gives p = s + 13.\n3. Substitute s = h + 10 to p, which gives p = h + 23.\n4. Substitute h = g + 20 to p, which gives p = g + 43.\n5. Substitute g = m + 11 to p, which gives p = m + 54.\n6. Substitute m = 18 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 15368,
"question": "Suppose a collection of variables is related by the following definitions: p = z + 1; f = n + 6; z = u + 10; m = 18; d = c + 1; g = m + 11; q = v + 17; c = f + 14; s = h + 10; u = s + 2; n = q + 1; v = m + 10; h = g + 20. Given that m = 18, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"u": "w + 13", "g": "u + 19", "b": "g + 16", "d": "b + 18", "i": "d + 8", "y": "i + 4", "o": "w + 10", "c": "o + 8", "q": "c + 4", "h": "q + 9", "f": "h + 17", "r": "f + 5", "w": 12}, "premises": {"w": 12}, "target": "y"}, "answer": {"steps": [["i", "d + 8", "d + 12"], ["d", "b + 18", "b + 30"], ["b", "g + 16", "g + 46"], ["g", "u + 19", "u + 65"], ["u", "w + 13", "w + 78"], ["w", 12, "90"]], "target_var_name": "y", "target_value": 90, "value_dict": {"w": 12}, "is_reverse": true}} | 15,369 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = b + 18; i = d + 8; h = q + 9; w = 12; u = w + 13; g = u + 19; o = w + 10; c = o + 8; r = f + 5; f = h + 17; y = i + 4; q = c + 4; b = g + 16. If w = 12, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 8 to y, which gives y = d + 12.\n2. Substitute d = b + 18 to y, which gives y = b + 30.\n3. Substitute b = g + 16 to y, which gives y = g + 46.\n4. Substitute g = u + 19 to y, which gives y = u + 65.\n5. Substitute u = w + 13 to y, which gives y = w + 78.\n6. Substitute w = 12 to y, which gives y = 90.\n\nThus, the final answer is y = \\boxed{90}.",
"index": 15369,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = b + 18; i = d + 8; h = q + 9; w = 12; u = w + 13; g = u + 19; o = w + 10; c = o + 8; r = f + 5; f = h + 17; y = i + 4; q = c + 4; b = g + 16. If w = 12, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 7", "k": "c + 1", "s": "k + 1", "h": "s + 19", "j": "h + 8", "x": "j + 4", "g": "r + 5", "z": "g + 18", "e": "z + 20", "a": "e + 4", "d": "a + 7", "p": "d + 13", "r": 1}, "premises": {"r": 1}, "target": "x"}, "answer": {"steps": [["j", "h + 8", "h + 12"], ["h", "s + 19", "s + 31"], ["s", "k + 1", "k + 32"], ["k", "c + 1", "c + 33"], ["c", "r + 7", "r + 40"], ["r", 1, "41"]], "target_var_name": "x", "target_value": 41, "value_dict": {"r": 1}, "is_reverse": true}} | 15,370 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = r + 5; e = z + 20; k = c + 1; c = r + 7; z = g + 18; j = h + 8; s = k + 1; p = d + 13; d = a + 7; x = j + 4; r = 1; a = e + 4; h = s + 19. If r = 1, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 8 to x, which gives x = h + 12.\n2. Substitute h = s + 19 to x, which gives x = s + 31.\n3. Substitute s = k + 1 to x, which gives x = k + 32.\n4. Substitute k = c + 1 to x, which gives x = c + 33.\n5. Substitute c = r + 7 to x, which gives x = r + 40.\n6. Substitute r = 1 to x, which gives x = 41.\n\nThus, the final answer is x = \\boxed{41}.",
"index": 15370,
"question": "Consider a system of variables where each variable is defined as follows: g = r + 5; e = z + 20; k = c + 1; c = r + 7; z = g + 18; j = h + 8; s = k + 1; p = d + 13; d = a + 7; x = j + 4; r = 1; a = e + 4; h = s + 19. If r = 1, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 20", "q": "a + 18", "f": "q + 2", "z": "f + 9", "c": "z + 3", "p": "c + 3", "m": "g + 19", "n": "m + 16", "k": "n + 11", "b": "k + 10", "x": "b + 14", "i": "x + 2", "g": 12}, "premises": {"g": 12}, "target": "p"}, "answer": {"steps": [["c", "z + 3", "z + 6"], ["z", "f + 9", "f + 15"], ["f", "q + 2", "q + 17"], ["q", "a + 18", "a + 35"], ["a", "g + 20", "g + 55"], ["g", 12, "67"]], "target_var_name": "p", "target_value": 67, "value_dict": {"g": 12}, "is_reverse": true}} | 15,371 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = c + 3; b = k + 10; c = z + 3; i = x + 2; n = m + 16; a = g + 20; z = f + 9; m = g + 19; q = a + 18; f = q + 2; x = b + 14; k = n + 11; g = 12. Given that g = 12, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 3 to p, which gives p = z + 6.\n2. Substitute z = f + 9 to p, which gives p = f + 15.\n3. Substitute f = q + 2 to p, which gives p = q + 17.\n4. Substitute q = a + 18 to p, which gives p = a + 35.\n5. Substitute a = g + 20 to p, which gives p = g + 55.\n6. Substitute g = 12 to p, which gives p = 67.\n\nThus, the final answer is p = \\boxed{67}.",
"index": 15371,
"question": "Suppose a collection of variables is related by the following definitions: p = c + 3; b = k + 10; c = z + 3; i = x + 2; n = m + 16; a = g + 20; z = f + 9; m = g + 19; q = a + 18; f = q + 2; x = b + 14; k = n + 11; g = 12. Given that g = 12, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 20", "s": "h + 11", "n": "s + 18", "u": "n + 7", "p": "u + 12", "l": "p + 13", "o": "r + 8", "k": "o + 15", "g": "k + 6", "i": "g + 16", "b": "i + 5", "m": "b + 16", "r": 12}, "premises": {"r": 12}, "target": "l"}, "answer": {"steps": [["p", "u + 12", "u + 25"], ["u", "n + 7", "n + 32"], ["n", "s + 18", "s + 50"], ["s", "h + 11", "h + 61"], ["h", "r + 20", "r + 81"], ["r", 12, "93"]], "target_var_name": "l", "target_value": 93, "value_dict": {"r": 12}, "is_reverse": true}} | 15,372 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 11; h = r + 20; u = n + 7; b = i + 5; i = g + 16; g = k + 6; m = b + 16; l = p + 13; p = u + 12; n = s + 18; k = o + 15; o = r + 8; r = 12. If r = 12, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 12 to l, which gives l = u + 25.\n2. Substitute u = n + 7 to l, which gives l = n + 32.\n3. Substitute n = s + 18 to l, which gives l = s + 50.\n4. Substitute s = h + 11 to l, which gives l = h + 61.\n5. Substitute h = r + 20 to l, which gives l = r + 81.\n6. Substitute r = 12 to l, which gives l = 93.\n\nThus, the final answer is l = \\boxed{93}.",
"index": 15372,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 11; h = r + 20; u = n + 7; b = i + 5; i = g + 16; g = k + 6; m = b + 16; l = p + 13; p = u + 12; n = s + 18; k = o + 15; o = r + 8; r = 12. If r = 12, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 5", "i": "k + 12", "u": "i + 13", "f": "u + 12", "z": "f + 8", "r": "z + 3", "x": "e + 8", "t": "x + 4", "q": "t + 14", "g": "q + 17", "d": "g + 1", "v": "d + 7", "e": 4}, "premises": {"e": 4}, "target": "r"}, "answer": {"steps": [["z", "f + 8", "f + 11"], ["f", "u + 12", "u + 23"], ["u", "i + 13", "i + 36"], ["i", "k + 12", "k + 48"], ["k", "e + 5", "e + 53"], ["e", 4, "57"]], "target_var_name": "r", "target_value": 57, "value_dict": {"e": 4}, "is_reverse": true}} | 15,373 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = 4; g = q + 17; d = g + 1; v = d + 7; i = k + 12; x = e + 8; q = t + 14; t = x + 4; f = u + 12; u = i + 13; z = f + 8; k = e + 5; r = z + 3. If e = 4, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 8 to r, which gives r = f + 11.\n2. Substitute f = u + 12 to r, which gives r = u + 23.\n3. Substitute u = i + 13 to r, which gives r = i + 36.\n4. Substitute i = k + 12 to r, which gives r = k + 48.\n5. Substitute k = e + 5 to r, which gives r = e + 53.\n6. Substitute e = 4 to r, which gives r = 57.\n\nThus, the final answer is r = \\boxed{57}.",
"index": 15373,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 4; g = q + 17; d = g + 1; v = d + 7; i = k + 12; x = e + 8; q = t + 14; t = x + 4; f = u + 12; u = i + 13; z = f + 8; k = e + 5; r = z + 3. If e = 4, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"d": "c + 4", "g": "d + 16", "m": "g + 8", "s": "m + 17", "w": "s + 6", "v": "w + 8", "h": "c + 8", "y": "h + 8", "u": "y + 13", "q": "u + 4", "n": "q + 18", "e": "n + 5", "c": 13}, "premises": {"c": 13}, "target": "v"}, "answer": {"steps": [["w", "s + 6", "s + 14"], ["s", "m + 17", "m + 31"], ["m", "g + 8", "g + 39"], ["g", "d + 16", "d + 55"], ["d", "c + 4", "c + 59"], ["c", 13, "72"]], "target_var_name": "v", "target_value": 72, "value_dict": {"c": 13}, "is_reverse": true}} | 15,374 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = c + 4; n = q + 18; h = c + 8; w = s + 6; g = d + 16; y = h + 8; u = y + 13; v = w + 8; q = u + 4; s = m + 17; c = 13; e = n + 5; m = g + 8. Given that c = 13, find the 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 w = s + 6 to v, which gives v = s + 14.\n2. Substitute s = m + 17 to v, which gives v = m + 31.\n3. Substitute m = g + 8 to v, which gives v = g + 39.\n4. Substitute g = d + 16 to v, which gives v = d + 55.\n5. Substitute d = c + 4 to v, which gives v = c + 59.\n6. Substitute c = 13 to v, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 15374,
"question": "Suppose a collection of variables is related by the following definitions: d = c + 4; n = q + 18; h = c + 8; w = s + 6; g = d + 16; y = h + 8; u = y + 13; v = w + 8; q = u + 4; s = m + 17; c = 13; e = n + 5; m = g + 8. Given that c = 13, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"w": "m + 5", "h": "w + 7", "y": "h + 19", "u": "y + 11", "k": "u + 18", "x": "k + 19", "r": "m + 8", "a": "r + 19", "g": "a + 13", "c": "g + 12", "s": "c + 1", "z": "s + 9", "m": 4}, "premises": {"m": 4}, "target": "x"}, "answer": {"steps": [["k", "u + 18", "u + 37"], ["u", "y + 11", "y + 48"], ["y", "h + 19", "h + 67"], ["h", "w + 7", "w + 74"], ["w", "m + 5", "m + 79"], ["m", 4, "83"]], "target_var_name": "x", "target_value": 83, "value_dict": {"m": 4}, "is_reverse": true}} | 15,375 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = m + 5; k = u + 18; r = m + 8; y = h + 19; c = g + 12; a = r + 19; g = a + 13; h = w + 7; z = s + 9; s = c + 1; x = k + 19; u = y + 11; m = 4. If m = 4, 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 k = u + 18 to x, which gives x = u + 37.\n2. Substitute u = y + 11 to x, which gives x = y + 48.\n3. Substitute y = h + 19 to x, which gives x = h + 67.\n4. Substitute h = w + 7 to x, which gives x = w + 74.\n5. Substitute w = m + 5 to x, which gives x = m + 79.\n6. Substitute m = 4 to x, which gives x = 83.\n\nThus, the final answer is x = \\boxed{83}.",
"index": 15375,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = m + 5; k = u + 18; r = m + 8; y = h + 19; c = g + 12; a = r + 19; g = a + 13; h = w + 7; z = s + 9; s = c + 1; x = k + 19; u = y + 11; m = 4. If m = 4, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 15", "b": "x + 4", "o": "b + 5", "d": "o + 11", "r": "d + 19", "h": "r + 3", "q": "t + 9", "m": "q + 3", "g": "m + 12", "n": "g + 5", "a": "n + 2", "s": "a + 2", "t": 20}, "premises": {"t": 20}, "target": "h"}, "answer": {"steps": [["r", "d + 19", "d + 22"], ["d", "o + 11", "o + 33"], ["o", "b + 5", "b + 38"], ["b", "x + 4", "x + 42"], ["x", "t + 15", "t + 57"], ["t", 20, "77"]], "target_var_name": "h", "target_value": 77, "value_dict": {"t": 20}, "is_reverse": true}} | 15,376 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = x + 4; q = t + 9; x = t + 15; d = o + 11; t = 20; m = q + 3; g = m + 12; n = g + 5; h = r + 3; r = d + 19; s = a + 2; a = n + 2; o = b + 5. If t = 20, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 19 to h, which gives h = d + 22.\n2. Substitute d = o + 11 to h, which gives h = o + 33.\n3. Substitute o = b + 5 to h, which gives h = b + 38.\n4. Substitute b = x + 4 to h, which gives h = x + 42.\n5. Substitute x = t + 15 to h, which gives h = t + 57.\n6. Substitute t = 20 to h, which gives h = 77.\n\nThus, the final answer is h = \\boxed{77}.",
"index": 15376,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = x + 4; q = t + 9; x = t + 15; d = o + 11; t = 20; m = q + 3; g = m + 12; n = g + 5; h = r + 3; r = d + 19; s = a + 2; a = n + 2; o = b + 5. If t = 20, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 1", "j": "n + 6", "e": "j + 17", "z": "e + 6", "o": "z + 7", "t": "o + 6", "k": "r + 9", "g": "k + 2", "w": "g + 11", "q": "w + 12", "f": "q + 11", "v": "f + 11", "r": 19}, "premises": {"r": 19}, "target": "t"}, "answer": {"steps": [["o", "z + 7", "z + 13"], ["z", "e + 6", "e + 19"], ["e", "j + 17", "j + 36"], ["j", "n + 6", "n + 42"], ["n", "r + 1", "r + 43"], ["r", 19, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"r": 19}, "is_reverse": true}} | 15,377 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 6; f = q + 11; v = f + 11; g = k + 2; e = j + 17; z = e + 6; w = g + 11; r = 19; t = o + 6; q = w + 12; n = r + 1; o = z + 7; k = r + 9. If r = 19, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = z + 7 to t, which gives t = z + 13.\n2. Substitute z = e + 6 to t, which gives t = e + 19.\n3. Substitute e = j + 17 to t, which gives t = j + 36.\n4. Substitute j = n + 6 to t, which gives t = n + 42.\n5. Substitute n = r + 1 to t, which gives t = r + 43.\n6. Substitute r = 19 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 15377,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 6; f = q + 11; v = f + 11; g = k + 2; e = j + 17; z = e + 6; w = g + 11; r = 19; t = o + 6; q = w + 12; n = r + 1; o = z + 7; k = r + 9. If r = 19, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"j": "n + 7", "p": "j + 14", "c": "p + 12", "r": "c + 18", "y": "r + 11", "v": "y + 12", "f": "n + 3", "m": "f + 2", "q": "m + 3", "l": "q + 9", "t": "l + 16", "s": "t + 17", "n": 14}, "premises": {"n": 14}, "target": "v"}, "answer": {"steps": [["y", "r + 11", "r + 23"], ["r", "c + 18", "c + 41"], ["c", "p + 12", "p + 53"], ["p", "j + 14", "j + 67"], ["j", "n + 7", "n + 74"], ["n", 14, "88"]], "target_var_name": "v", "target_value": 88, "value_dict": {"n": 14}, "is_reverse": true}} | 15,378 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = r + 11; c = p + 12; q = m + 3; n = 14; l = q + 9; j = n + 7; r = c + 18; t = l + 16; f = n + 3; v = y + 12; s = t + 17; m = f + 2; p = j + 14. If n = 14, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 11 to v, which gives v = r + 23.\n2. Substitute r = c + 18 to v, which gives v = c + 41.\n3. Substitute c = p + 12 to v, which gives v = p + 53.\n4. Substitute p = j + 14 to v, which gives v = j + 67.\n5. Substitute j = n + 7 to v, which gives v = n + 74.\n6. Substitute n = 14 to v, which gives v = 88.\n\nThus, the final answer is v = \\boxed{88}.",
"index": 15378,
"question": "Consider a system of variables where each variable is defined as follows: y = r + 11; c = p + 12; q = m + 3; n = 14; l = q + 9; j = n + 7; r = c + 18; t = l + 16; f = n + 3; v = y + 12; s = t + 17; m = f + 2; p = j + 14. If n = 14, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 7", "o": "g + 6", "p": "o + 20", "u": "p + 10", "z": "u + 3", "m": "z + 13", "r": "q + 1", "y": "r + 20", "d": "y + 13", "b": "d + 17", "k": "b + 15", "e": "k + 14", "q": 9}, "premises": {"q": 9}, "target": "m"}, "answer": {"steps": [["z", "u + 3", "u + 16"], ["u", "p + 10", "p + 26"], ["p", "o + 20", "o + 46"], ["o", "g + 6", "g + 52"], ["g", "q + 7", "q + 59"], ["q", 9, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"q": 9}, "is_reverse": true}} | 15,379 | 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 = q + 1; z = u + 3; u = p + 10; p = o + 20; k = b + 15; d = y + 13; q = 9; g = q + 7; m = z + 13; o = g + 6; y = r + 20; e = k + 14; b = d + 17. If q = 9, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 3 to m, which gives m = u + 16.\n2. Substitute u = p + 10 to m, which gives m = p + 26.\n3. Substitute p = o + 20 to m, which gives m = o + 46.\n4. Substitute o = g + 6 to m, which gives m = g + 52.\n5. Substitute g = q + 7 to m, which gives m = q + 59.\n6. Substitute q = 9 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 15379,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = q + 1; z = u + 3; u = p + 10; p = o + 20; k = b + 15; d = y + 13; q = 9; g = q + 7; m = z + 13; o = g + 6; y = r + 20; e = k + 14; b = d + 17. If q = 9, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 18", "s": "f + 1", "u": "s + 13", "r": "u + 1", "m": "r + 2", "w": "m + 7", "g": "p + 7", "v": "g + 15", "k": "v + 6", "y": "k + 15", "b": "y + 6", "t": "b + 20", "p": 1}, "premises": {"p": 1}, "target": "w"}, "answer": {"steps": [["m", "r + 2", "r + 9"], ["r", "u + 1", "u + 10"], ["u", "s + 13", "s + 23"], ["s", "f + 1", "f + 24"], ["f", "p + 18", "p + 42"], ["p", 1, "43"]], "target_var_name": "w", "target_value": 43, "value_dict": {"p": 1}, "is_reverse": true}} | 15,380 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = m + 7; u = s + 13; f = p + 18; s = f + 1; t = b + 20; v = g + 15; b = y + 6; p = 1; m = r + 2; y = k + 15; r = u + 1; k = v + 6; g = p + 7. Given that p = 1, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 2 to w, which gives w = r + 9.\n2. Substitute r = u + 1 to w, which gives w = u + 10.\n3. Substitute u = s + 13 to w, which gives w = s + 23.\n4. Substitute s = f + 1 to w, which gives w = f + 24.\n5. Substitute f = p + 18 to w, which gives w = p + 42.\n6. Substitute p = 1 to w, which gives w = 43.\n\nThus, the final answer is w = \\boxed{43}.",
"index": 15380,
"question": "Suppose a collection of variables is related by the following definitions: w = m + 7; u = s + 13; f = p + 18; s = f + 1; t = b + 20; v = g + 15; b = y + 6; p = 1; m = r + 2; y = k + 15; r = u + 1; k = v + 6; g = p + 7. Given that p = 1, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"h": "k + 4", "g": "h + 11", "c": "g + 9", "u": "c + 14", "m": "u + 7", "l": "m + 3", "q": "k + 1", "o": "q + 7", "f": "o + 10", "b": "f + 3", "v": "b + 7", "r": "v + 15", "k": 8}, "premises": {"k": 8}, "target": "l"}, "answer": {"steps": [["m", "u + 7", "u + 10"], ["u", "c + 14", "c + 24"], ["c", "g + 9", "g + 33"], ["g", "h + 11", "h + 44"], ["h", "k + 4", "k + 48"], ["k", 8, "56"]], "target_var_name": "l", "target_value": 56, "value_dict": {"k": 8}, "is_reverse": true}} | 15,381 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = k + 1; k = 8; r = v + 15; v = b + 7; o = q + 7; b = f + 3; l = m + 3; f = o + 10; m = u + 7; g = h + 11; c = g + 9; h = k + 4; u = c + 14. Given that k = 8, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 7 to l, which gives l = u + 10.\n2. Substitute u = c + 14 to l, which gives l = c + 24.\n3. Substitute c = g + 9 to l, which gives l = g + 33.\n4. Substitute g = h + 11 to l, which gives l = h + 44.\n5. Substitute h = k + 4 to l, which gives l = k + 48.\n6. Substitute k = 8 to l, which gives l = 56.\n\nThus, the final answer is l = \\boxed{56}.",
"index": 15381,
"question": "Suppose a collection of variables is related by the following definitions: q = k + 1; k = 8; r = v + 15; v = b + 7; o = q + 7; b = f + 3; l = m + 3; f = o + 10; m = u + 7; g = h + 11; c = g + 9; h = k + 4; u = c + 14. Given that k = 8, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 6", "v": "z + 8", "y": "v + 2", "d": "y + 2", "a": "d + 16", "n": "a + 18", "j": "f + 11", "k": "j + 10", "t": "k + 7", "p": "t + 12", "x": "p + 16", "w": "x + 10", "f": 15}, "premises": {"f": 15}, "target": "n"}, "answer": {"steps": [["a", "d + 16", "d + 34"], ["d", "y + 2", "y + 36"], ["y", "v + 2", "v + 38"], ["v", "z + 8", "z + 46"], ["z", "f + 6", "f + 52"], ["f", 15, "67"]], "target_var_name": "n", "target_value": 67, "value_dict": {"f": 15}, "is_reverse": true}} | 15,382 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = f + 11; v = z + 8; t = k + 7; p = t + 12; d = y + 2; w = x + 10; n = a + 18; k = j + 10; y = v + 2; z = f + 6; a = d + 16; x = p + 16; f = 15. If f = 15, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 16 to n, which gives n = d + 34.\n2. Substitute d = y + 2 to n, which gives n = y + 36.\n3. Substitute y = v + 2 to n, which gives n = v + 38.\n4. Substitute v = z + 8 to n, which gives n = z + 46.\n5. Substitute z = f + 6 to n, which gives n = f + 52.\n6. Substitute f = 15 to n, which gives n = 67.\n\nThus, the final answer is n = \\boxed{67}.",
"index": 15382,
"question": "Consider a system of variables where each variable is defined as follows: j = f + 11; v = z + 8; t = k + 7; p = t + 12; d = y + 2; w = x + 10; n = a + 18; k = j + 10; y = v + 2; z = f + 6; a = d + 16; x = p + 16; f = 15. If f = 15, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 14", "w": "q + 5", "n": "w + 9", "r": "n + 3", "z": "r + 19", "s": "z + 10", "h": "u + 10", "g": "h + 20", "t": "g + 8", "k": "t + 3", "d": "k + 17", "l": "d + 7", "u": 3}, "premises": {"u": 3}, "target": "s"}, "answer": {"steps": [["z", "r + 19", "r + 29"], ["r", "n + 3", "n + 32"], ["n", "w + 9", "w + 41"], ["w", "q + 5", "q + 46"], ["q", "u + 14", "u + 60"], ["u", 3, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"u": 3}, "is_reverse": true}} | 15,383 | 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 = z + 10; l = d + 7; d = k + 17; r = n + 3; t = g + 8; z = r + 19; k = t + 3; n = w + 9; q = u + 14; h = u + 10; w = q + 5; u = 3; g = h + 20. If u = 3, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 19 to s, which gives s = r + 29.\n2. Substitute r = n + 3 to s, which gives s = n + 32.\n3. Substitute n = w + 9 to s, which gives s = w + 41.\n4. Substitute w = q + 5 to s, which gives s = q + 46.\n5. Substitute q = u + 14 to s, which gives s = u + 60.\n6. Substitute u = 3 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 15383,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = z + 10; l = d + 7; d = k + 17; r = n + 3; t = g + 8; z = r + 19; k = t + 3; n = w + 9; q = u + 14; h = u + 10; w = q + 5; u = 3; g = h + 20. If u = 3, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 19", "o": "a + 12", "x": "o + 19", "c": "x + 1", "y": "c + 20", "v": "y + 15", "g": "n + 19", "q": "g + 10", "p": "q + 3", "i": "p + 12", "b": "i + 1", "m": "b + 4", "n": 5}, "premises": {"n": 5}, "target": "v"}, "answer": {"steps": [["y", "c + 20", "c + 35"], ["c", "x + 1", "x + 36"], ["x", "o + 19", "o + 55"], ["o", "a + 12", "a + 67"], ["a", "n + 19", "n + 86"], ["n", 5, "91"]], "target_var_name": "v", "target_value": 91, "value_dict": {"n": 5}, "is_reverse": true}} | 15,384 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = p + 12; m = b + 4; x = o + 19; p = q + 3; y = c + 20; a = n + 19; g = n + 19; b = i + 1; v = y + 15; q = g + 10; c = x + 1; n = 5; o = a + 12. If n = 5, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 20 to v, which gives v = c + 35.\n2. Substitute c = x + 1 to v, which gives v = x + 36.\n3. Substitute x = o + 19 to v, which gives v = o + 55.\n4. Substitute o = a + 12 to v, which gives v = a + 67.\n5. Substitute a = n + 19 to v, which gives v = n + 86.\n6. Substitute n = 5 to v, which gives v = 91.\n\nThus, the final answer is v = \\boxed{91}.",
"index": 15384,
"question": "Consider a system of variables where each variable is defined as follows: i = p + 12; m = b + 4; x = o + 19; p = q + 3; y = c + 20; a = n + 19; g = n + 19; b = i + 1; v = y + 15; q = g + 10; c = x + 1; n = 5; o = a + 12. If n = 5, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 14", "g": "s + 3", "y": "g + 12", "b": "y + 15", "j": "b + 2", "l": "j + 1", "z": "x + 15", "e": "z + 19", "t": "e + 17", "i": "t + 9", "f": "i + 11", "o": "f + 7", "x": 6}, "premises": {"x": 6}, "target": "l"}, "answer": {"steps": [["j", "b + 2", "b + 3"], ["b", "y + 15", "y + 18"], ["y", "g + 12", "g + 30"], ["g", "s + 3", "s + 33"], ["s", "x + 14", "x + 47"], ["x", 6, "53"]], "target_var_name": "l", "target_value": 53, "value_dict": {"x": 6}, "is_reverse": true}} | 15,385 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 14; g = s + 3; o = f + 7; i = t + 9; b = y + 15; x = 6; l = j + 1; z = x + 15; y = g + 12; f = i + 11; j = b + 2; t = e + 17; e = z + 19. If x = 6, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 2 to l, which gives l = b + 3.\n2. Substitute b = y + 15 to l, which gives l = y + 18.\n3. Substitute y = g + 12 to l, which gives l = g + 30.\n4. Substitute g = s + 3 to l, which gives l = s + 33.\n5. Substitute s = x + 14 to l, which gives l = x + 47.\n6. Substitute x = 6 to l, which gives l = 53.\n\nThus, the final answer is l = \\boxed{53}.",
"index": 15385,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 14; g = s + 3; o = f + 7; i = t + 9; b = y + 15; x = 6; l = j + 1; z = x + 15; y = g + 12; f = i + 11; j = b + 2; t = e + 17; e = z + 19. If x = 6, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 2", "j": "e + 4", "g": "j + 13", "k": "g + 2", "v": "k + 18", "n": "v + 8", "f": "i + 16", "h": "f + 20", "l": "h + 14", "t": "l + 1", "w": "t + 7", "y": "w + 15", "i": 8}, "premises": {"i": 8}, "target": "n"}, "answer": {"steps": [["v", "k + 18", "k + 26"], ["k", "g + 2", "g + 28"], ["g", "j + 13", "j + 41"], ["j", "e + 4", "e + 45"], ["e", "i + 2", "i + 47"], ["i", 8, "55"]], "target_var_name": "n", "target_value": 55, "value_dict": {"i": 8}, "is_reverse": true}} | 15,386 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = k + 18; w = t + 7; j = e + 4; k = g + 2; l = h + 14; f = i + 16; n = v + 8; e = i + 2; h = f + 20; g = j + 13; i = 8; y = w + 15; t = l + 1. Given that i = 8, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 18 to n, which gives n = k + 26.\n2. Substitute k = g + 2 to n, which gives n = g + 28.\n3. Substitute g = j + 13 to n, which gives n = j + 41.\n4. Substitute j = e + 4 to n, which gives n = e + 45.\n5. Substitute e = i + 2 to n, which gives n = i + 47.\n6. Substitute i = 8 to n, which gives n = 55.\n\nThus, the final answer is n = \\boxed{55}.",
"index": 15386,
"question": "Suppose a collection of variables is related by the following definitions: v = k + 18; w = t + 7; j = e + 4; k = g + 2; l = h + 14; f = i + 16; n = v + 8; e = i + 2; h = f + 20; g = j + 13; i = 8; y = w + 15; t = l + 1. Given that i = 8, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"d": "e + 20", "l": "d + 6", "y": "l + 20", "h": "y + 19", "k": "h + 8", "c": "k + 12", "g": "e + 17", "a": "g + 3", "f": "a + 8", "n": "f + 20", "o": "n + 17", "x": "o + 14", "e": 16}, "premises": {"e": 16}, "target": "c"}, "answer": {"steps": [["k", "h + 8", "h + 20"], ["h", "y + 19", "y + 39"], ["y", "l + 20", "l + 59"], ["l", "d + 6", "d + 65"], ["d", "e + 20", "e + 85"], ["e", 16, "101"]], "target_var_name": "c", "target_value": 101, "value_dict": {"e": 16}, "is_reverse": true}} | 15,387 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = f + 20; k = h + 8; h = y + 19; g = e + 17; l = d + 6; c = k + 12; e = 16; d = e + 20; f = a + 8; y = l + 20; x = o + 14; o = n + 17; a = g + 3. If e = 16, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 8 to c, which gives c = h + 20.\n2. Substitute h = y + 19 to c, which gives c = y + 39.\n3. Substitute y = l + 20 to c, which gives c = l + 59.\n4. Substitute l = d + 6 to c, which gives c = d + 65.\n5. Substitute d = e + 20 to c, which gives c = e + 85.\n6. Substitute e = 16 to c, which gives c = 101.\n\nThus, the final answer is c = \\boxed{101}.",
"index": 15387,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = f + 20; k = h + 8; h = y + 19; g = e + 17; l = d + 6; c = k + 12; e = 16; d = e + 20; f = a + 8; y = l + 20; x = o + 14; o = n + 17; a = g + 3. If e = 16, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"g": "y + 9", "e": "g + 18", "r": "e + 8", "f": "r + 12", "b": "f + 4", "v": "b + 4", "h": "y + 3", "m": "h + 9", "l": "m + 10", "x": "l + 20", "u": "x + 10", "z": "u + 7", "y": 13}, "premises": {"y": 13}, "target": "v"}, "answer": {"steps": [["b", "f + 4", "f + 8"], ["f", "r + 12", "r + 20"], ["r", "e + 8", "e + 28"], ["e", "g + 18", "g + 46"], ["g", "y + 9", "y + 55"], ["y", 13, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"y": 13}, "is_reverse": true}} | 15,388 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 13; f = r + 12; z = u + 7; v = b + 4; x = l + 20; h = y + 3; g = y + 9; u = x + 10; m = h + 9; r = e + 8; b = f + 4; l = m + 10; e = g + 18. Given that y = 13, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 4 to v, which gives v = f + 8.\n2. Substitute f = r + 12 to v, which gives v = r + 20.\n3. Substitute r = e + 8 to v, which gives v = e + 28.\n4. Substitute e = g + 18 to v, which gives v = g + 46.\n5. Substitute g = y + 9 to v, which gives v = y + 55.\n6. Substitute y = 13 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 15388,
"question": "Suppose a collection of variables is related by the following definitions: y = 13; f = r + 12; z = u + 7; v = b + 4; x = l + 20; h = y + 3; g = y + 9; u = x + 10; m = h + 9; r = e + 8; b = f + 4; l = m + 10; e = g + 18. Given that y = 13, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"a": "l + 17", "h": "a + 18", "n": "h + 16", "j": "n + 1", "q": "j + 18", "v": "q + 8", "c": "l + 19", "r": "c + 13", "g": "r + 20", "m": "g + 20", "t": "m + 16", "o": "t + 20", "l": 13}, "premises": {"l": 13}, "target": "v"}, "answer": {"steps": [["q", "j + 18", "j + 26"], ["j", "n + 1", "n + 27"], ["n", "h + 16", "h + 43"], ["h", "a + 18", "a + 61"], ["a", "l + 17", "l + 78"], ["l", 13, "91"]], "target_var_name": "v", "target_value": 91, "value_dict": {"l": 13}, "is_reverse": true}} | 15,389 | 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 = t + 20; l = 13; n = h + 16; v = q + 8; r = c + 13; g = r + 20; a = l + 17; q = j + 18; c = l + 19; j = n + 1; m = g + 20; t = m + 16; h = a + 18. If l = 13, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 18 to v, which gives v = j + 26.\n2. Substitute j = n + 1 to v, which gives v = n + 27.\n3. Substitute n = h + 16 to v, which gives v = h + 43.\n4. Substitute h = a + 18 to v, which gives v = a + 61.\n5. Substitute a = l + 17 to v, which gives v = l + 78.\n6. Substitute l = 13 to v, which gives v = 91.\n\nThus, the final answer is v = \\boxed{91}.",
"index": 15389,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = t + 20; l = 13; n = h + 16; v = q + 8; r = c + 13; g = r + 20; a = l + 17; q = j + 18; c = l + 19; j = n + 1; m = g + 20; t = m + 16; h = a + 18. If l = 13, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 15", "v": "s + 5", "d": "v + 12", "n": "d + 11", "m": "n + 10", "i": "m + 6", "h": "e + 18", "z": "h + 5", "l": "z + 13", "g": "l + 2", "b": "g + 18", "t": "b + 5", "e": 17}, "premises": {"e": 17}, "target": "i"}, "answer": {"steps": [["m", "n + 10", "n + 16"], ["n", "d + 11", "d + 27"], ["d", "v + 12", "v + 39"], ["v", "s + 5", "s + 44"], ["s", "e + 15", "e + 59"], ["e", 17, "76"]], "target_var_name": "i", "target_value": 76, "value_dict": {"e": 17}, "is_reverse": true}} | 15,390 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = e + 15; n = d + 11; v = s + 5; l = z + 13; m = n + 10; h = e + 18; i = m + 6; z = h + 5; g = l + 2; b = g + 18; d = v + 12; e = 17; t = b + 5. Given that e = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 10 to i, which gives i = n + 16.\n2. Substitute n = d + 11 to i, which gives i = d + 27.\n3. Substitute d = v + 12 to i, which gives i = v + 39.\n4. Substitute v = s + 5 to i, which gives i = s + 44.\n5. Substitute s = e + 15 to i, which gives i = e + 59.\n6. Substitute e = 17 to i, which gives i = 76.\n\nThus, the final answer is i = \\boxed{76}.",
"index": 15390,
"question": "Suppose a collection of variables is related by the following definitions: s = e + 15; n = d + 11; v = s + 5; l = z + 13; m = n + 10; h = e + 18; i = m + 6; z = h + 5; g = l + 2; b = g + 18; d = v + 12; e = 17; t = b + 5. Given that e = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 9", "v": "l + 15", "k": "v + 12", "d": "k + 10", "j": "d + 5", "p": "j + 13", "a": "y + 2", "t": "a + 8", "i": "t + 19", "h": "i + 1", "r": "h + 9", "e": "r + 5", "y": 12}, "premises": {"y": 12}, "target": "p"}, "answer": {"steps": [["j", "d + 5", "d + 18"], ["d", "k + 10", "k + 28"], ["k", "v + 12", "v + 40"], ["v", "l + 15", "l + 55"], ["l", "y + 9", "y + 64"], ["y", 12, "76"]], "target_var_name": "p", "target_value": 76, "value_dict": {"y": 12}, "is_reverse": true}} | 15,391 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = a + 8; y = 12; l = y + 9; a = y + 2; j = d + 5; e = r + 5; d = k + 10; h = i + 1; v = l + 15; i = t + 19; p = j + 13; r = h + 9; k = v + 12. Given that y = 12, 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 j = d + 5 to p, which gives p = d + 18.\n2. Substitute d = k + 10 to p, which gives p = k + 28.\n3. Substitute k = v + 12 to p, which gives p = v + 40.\n4. Substitute v = l + 15 to p, which gives p = l + 55.\n5. Substitute l = y + 9 to p, which gives p = y + 64.\n6. Substitute y = 12 to p, which gives p = 76.\n\nThus, the final answer is p = \\boxed{76}.",
"index": 15391,
"question": "Suppose a collection of variables is related by the following definitions: t = a + 8; y = 12; l = y + 9; a = y + 2; j = d + 5; e = r + 5; d = k + 10; h = i + 1; v = l + 15; i = t + 19; p = j + 13; r = h + 9; k = v + 12. Given that y = 12, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"l": "j + 5", "f": "l + 15", "u": "f + 3", "t": "u + 2", "h": "t + 2", "w": "h + 18", "k": "j + 7", "n": "k + 8", "s": "n + 3", "b": "s + 19", "z": "b + 12", "a": "z + 3", "j": 7}, "premises": {"j": 7}, "target": "w"}, "answer": {"steps": [["h", "t + 2", "t + 20"], ["t", "u + 2", "u + 22"], ["u", "f + 3", "f + 25"], ["f", "l + 15", "l + 40"], ["l", "j + 5", "j + 45"], ["j", 7, "52"]], "target_var_name": "w", "target_value": 52, "value_dict": {"j": 7}, "is_reverse": true}} | 15,392 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = h + 18; h = t + 2; t = u + 2; u = f + 3; f = l + 15; a = z + 3; z = b + 12; b = s + 19; j = 7; n = k + 8; l = j + 5; k = j + 7; s = n + 3. If j = 7, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 2 to w, which gives w = t + 20.\n2. Substitute t = u + 2 to w, which gives w = u + 22.\n3. Substitute u = f + 3 to w, which gives w = f + 25.\n4. Substitute f = l + 15 to w, which gives w = l + 40.\n5. Substitute l = j + 5 to w, which gives w = j + 45.\n6. Substitute j = 7 to w, which gives w = 52.\n\nThus, the final answer is w = \\boxed{52}.",
"index": 15392,
"question": "Consider a system of variables where each variable is defined as follows: w = h + 18; h = t + 2; t = u + 2; u = f + 3; f = l + 15; a = z + 3; z = b + 12; b = s + 19; j = 7; n = k + 8; l = j + 5; k = j + 7; s = n + 3. If j = 7, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"p": "n + 12", "q": "p + 5", "o": "q + 20", "b": "o + 7", "g": "b + 15", "m": "g + 10", "e": "n + 16", "y": "e + 8", "j": "y + 12", "u": "j + 9", "w": "u + 20", "z": "w + 10", "n": 12}, "premises": {"n": 12}, "target": "m"}, "answer": {"steps": [["g", "b + 15", "b + 25"], ["b", "o + 7", "o + 32"], ["o", "q + 20", "q + 52"], ["q", "p + 5", "p + 57"], ["p", "n + 12", "n + 69"], ["n", 12, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"n": 12}, "is_reverse": true}} | 15,393 | 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 = e + 8; b = o + 7; q = p + 5; p = n + 12; w = u + 20; n = 12; g = b + 15; m = g + 10; z = w + 10; j = y + 12; o = q + 20; u = j + 9; e = n + 16. If n = 12, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 15 to m, which gives m = b + 25.\n2. Substitute b = o + 7 to m, which gives m = o + 32.\n3. Substitute o = q + 20 to m, which gives m = q + 52.\n4. Substitute q = p + 5 to m, which gives m = p + 57.\n5. Substitute p = n + 12 to m, which gives m = n + 69.\n6. Substitute n = 12 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 15393,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = e + 8; b = o + 7; q = p + 5; p = n + 12; w = u + 20; n = 12; g = b + 15; m = g + 10; z = w + 10; j = y + 12; o = q + 20; u = j + 9; e = n + 16. If n = 12, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"e": "y + 1", "k": "e + 12", "v": "k + 11", "f": "v + 4", "d": "f + 10", "w": "d + 1", "c": "y + 4", "u": "c + 4", "m": "u + 20", "a": "m + 5", "t": "a + 16", "o": "t + 6", "y": 16}, "premises": {"y": 16}, "target": "w"}, "answer": {"steps": [["d", "f + 10", "f + 11"], ["f", "v + 4", "v + 15"], ["v", "k + 11", "k + 26"], ["k", "e + 12", "e + 38"], ["e", "y + 1", "y + 39"], ["y", 16, "55"]], "target_var_name": "w", "target_value": 55, "value_dict": {"y": 16}, "is_reverse": true}} | 15,394 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = u + 20; v = k + 11; e = y + 1; c = y + 4; a = m + 5; d = f + 10; w = d + 1; u = c + 4; f = v + 4; k = e + 12; t = a + 16; y = 16; o = t + 6. Given that y = 16, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 10 to w, which gives w = f + 11.\n2. Substitute f = v + 4 to w, which gives w = v + 15.\n3. Substitute v = k + 11 to w, which gives w = k + 26.\n4. Substitute k = e + 12 to w, which gives w = e + 38.\n5. Substitute e = y + 1 to w, which gives w = y + 39.\n6. Substitute y = 16 to w, which gives w = 55.\n\nThus, the final answer is w = \\boxed{55}.",
"index": 15394,
"question": "Suppose a collection of variables is related by the following definitions: m = u + 20; v = k + 11; e = y + 1; c = y + 4; a = m + 5; d = f + 10; w = d + 1; u = c + 4; f = v + 4; k = e + 12; t = a + 16; y = 16; o = t + 6. Given that y = 16, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 20", "t": "x + 11", "r": "t + 19", "s": "r + 14", "l": "s + 10", "w": "l + 10", "n": "u + 2", "p": "n + 20", "i": "p + 16", "b": "i + 1", "f": "b + 20", "v": "f + 2", "u": 11}, "premises": {"u": 11}, "target": "w"}, "answer": {"steps": [["l", "s + 10", "s + 20"], ["s", "r + 14", "r + 34"], ["r", "t + 19", "t + 53"], ["t", "x + 11", "x + 64"], ["x", "u + 20", "u + 84"], ["u", 11, "95"]], "target_var_name": "w", "target_value": 95, "value_dict": {"u": 11}, "is_reverse": true}} | 15,395 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = p + 16; f = b + 20; x = u + 20; l = s + 10; v = f + 2; s = r + 14; r = t + 19; b = i + 1; n = u + 2; w = l + 10; t = x + 11; u = 11; p = n + 20. If u = 11, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 10 to w, which gives w = s + 20.\n2. Substitute s = r + 14 to w, which gives w = r + 34.\n3. Substitute r = t + 19 to w, which gives w = t + 53.\n4. Substitute t = x + 11 to w, which gives w = x + 64.\n5. Substitute x = u + 20 to w, which gives w = u + 84.\n6. Substitute u = 11 to w, which gives w = 95.\n\nThus, the final answer is w = \\boxed{95}.",
"index": 15395,
"question": "Consider a system of variables where each variable is defined as follows: i = p + 16; f = b + 20; x = u + 20; l = s + 10; v = f + 2; s = r + 14; r = t + 19; b = i + 1; n = u + 2; w = l + 10; t = x + 11; u = 11; p = n + 20. If u = 11, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 14", "e": "a + 19", "z": "e + 8", "c": "z + 8", "v": "c + 1", "g": "v + 8", "x": "k + 2", "b": "x + 2", "q": "b + 13", "m": "q + 14", "d": "m + 12", "f": "d + 16", "k": 11}, "premises": {"k": 11}, "target": "g"}, "answer": {"steps": [["v", "c + 1", "c + 9"], ["c", "z + 8", "z + 17"], ["z", "e + 8", "e + 25"], ["e", "a + 19", "a + 44"], ["a", "k + 14", "k + 58"], ["k", 11, "69"]], "target_var_name": "g", "target_value": 69, "value_dict": {"k": 11}, "is_reverse": true}} | 15,396 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = d + 16; g = v + 8; c = z + 8; k = 11; x = k + 2; b = x + 2; q = b + 13; d = m + 12; e = a + 19; z = e + 8; a = k + 14; m = q + 14; v = c + 1. If k = 11, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 1 to g, which gives g = c + 9.\n2. Substitute c = z + 8 to g, which gives g = z + 17.\n3. Substitute z = e + 8 to g, which gives g = e + 25.\n4. Substitute e = a + 19 to g, which gives g = a + 44.\n5. Substitute a = k + 14 to g, which gives g = k + 58.\n6. Substitute k = 11 to g, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 15396,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = d + 16; g = v + 8; c = z + 8; k = 11; x = k + 2; b = x + 2; q = b + 13; d = m + 12; e = a + 19; z = e + 8; a = k + 14; m = q + 14; v = c + 1. If k = 11, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"n": "i + 7", "j": "n + 16", "x": "j + 8", "r": "x + 15", "w": "r + 12", "u": "w + 13", "h": "i + 18", "s": "h + 17", "d": "s + 2", "a": "d + 19", "v": "a + 4", "y": "v + 7", "i": 15}, "premises": {"i": 15}, "target": "u"}, "answer": {"steps": [["w", "r + 12", "r + 25"], ["r", "x + 15", "x + 40"], ["x", "j + 8", "j + 48"], ["j", "n + 16", "n + 64"], ["n", "i + 7", "i + 71"], ["i", 15, "86"]], "target_var_name": "u", "target_value": 86, "value_dict": {"i": 15}, "is_reverse": true}} | 15,397 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = a + 4; n = i + 7; h = i + 18; d = s + 2; u = w + 13; a = d + 19; w = r + 12; y = v + 7; j = n + 16; i = 15; r = x + 15; x = j + 8; s = h + 17. If i = 15, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 12 to u, which gives u = r + 25.\n2. Substitute r = x + 15 to u, which gives u = x + 40.\n3. Substitute x = j + 8 to u, which gives u = j + 48.\n4. Substitute j = n + 16 to u, which gives u = n + 64.\n5. Substitute n = i + 7 to u, which gives u = i + 71.\n6. Substitute i = 15 to u, which gives u = 86.\n\nThus, the final answer is u = \\boxed{86}.",
"index": 15397,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = a + 4; n = i + 7; h = i + 18; d = s + 2; u = w + 13; a = d + 19; w = r + 12; y = v + 7; j = n + 16; i = 15; r = x + 15; x = j + 8; s = h + 17. If i = 15, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 7", "n": "k + 3", "o": "n + 6", "b": "o + 3", "q": "b + 12", "h": "q + 20", "v": "m + 10", "d": "v + 12", "t": "d + 6", "f": "t + 14", "p": "f + 12", "u": "p + 10", "m": 16}, "premises": {"m": 16}, "target": "h"}, "answer": {"steps": [["q", "b + 12", "b + 32"], ["b", "o + 3", "o + 35"], ["o", "n + 6", "n + 41"], ["n", "k + 3", "k + 44"], ["k", "m + 7", "m + 51"], ["m", 16, "67"]], "target_var_name": "h", "target_value": 67, "value_dict": {"m": 16}, "is_reverse": true}} | 15,398 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = d + 6; d = v + 12; h = q + 20; q = b + 12; m = 16; o = n + 6; v = m + 10; f = t + 14; k = m + 7; b = o + 3; p = f + 12; u = p + 10; n = k + 3. If m = 16, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 12 to h, which gives h = b + 32.\n2. Substitute b = o + 3 to h, which gives h = o + 35.\n3. Substitute o = n + 6 to h, which gives h = n + 41.\n4. Substitute n = k + 3 to h, which gives h = k + 44.\n5. Substitute k = m + 7 to h, which gives h = m + 51.\n6. Substitute m = 16 to h, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 15398,
"question": "Consider a system of variables where each variable is defined as follows: t = d + 6; d = v + 12; h = q + 20; q = b + 12; m = 16; o = n + 6; v = m + 10; f = t + 14; k = m + 7; b = o + 3; p = f + 12; u = p + 10; n = k + 3. If m = 16, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 19", "f": "u + 1", "z": "f + 7", "j": "z + 10", "g": "j + 6", "v": "g + 18", "c": "k + 11", "y": "c + 18", "e": "y + 10", "h": "e + 18", "a": "h + 4", "t": "a + 19", "k": 10}, "premises": {"k": 10}, "target": "v"}, "answer": {"steps": [["g", "j + 6", "j + 24"], ["j", "z + 10", "z + 34"], ["z", "f + 7", "f + 41"], ["f", "u + 1", "u + 42"], ["u", "k + 19", "k + 61"], ["k", 10, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"k": 10}, "is_reverse": true}} | 15,399 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = y + 10; v = g + 18; c = k + 11; g = j + 6; h = e + 18; k = 10; f = u + 1; z = f + 7; j = z + 10; t = a + 19; y = c + 18; u = k + 19; a = h + 4. Given that k = 10, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 6 to v, which gives v = j + 24.\n2. Substitute j = z + 10 to v, which gives v = z + 34.\n3. Substitute z = f + 7 to v, which gives v = f + 41.\n4. Substitute f = u + 1 to v, which gives v = u + 42.\n5. Substitute u = k + 19 to v, which gives v = k + 61.\n6. Substitute k = 10 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 15399,
"question": "Suppose a collection of variables is related by the following definitions: e = y + 10; v = g + 18; c = k + 11; g = j + 6; h = e + 18; k = 10; f = u + 1; z = f + 7; j = z + 10; t = a + 19; y = c + 18; u = k + 19; a = h + 4. Given that k = 10, find the value of v.",
"split": "train"
} |
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