meta stringlengths 521 549 | 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": {"k": "d + 19", "s": "k + 9", "l": "s + 17", "t": "l + 7", "m": "t + 17", "x": "m + 12", "v": "d + 17", "r": "v + 18", "a": "r + 7", "j": "a + 2", "p": "j + 3", "q": "p + 1", "d": 19}, "premises": {"d": 19}, "target": "x"}, "answer": {"steps": [["k", "d + 19", 38], ["s", "k + 9", 47], ["l", "s + 17", 64], ["t", "l + 7", 71], ["m", "t + 17", 88], ["x", "m + 12", 100]], "target_var_name": "x", "target_value": 100, "value_dict": {"d": 19, "k": 38, "s": 47, "l": 64, "t": 71, "m": 88, "x": 100}, "is_reverse": false}} | 300 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = v + 18; t = l + 7; a = r + 7; m = t + 17; x = m + 12; k = d + 19; p = j + 3; s = k + 9; j = a + 2; l = s + 17; d = 19; q = p + 1; v = d + 17. Given that d = 19, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = d + 19, which gives k = 38.\n2. Compute s using s = k + 9, which gives s = 47.\n3. Compute l using l = s + 17, which gives l = 64.\n4. Compute t using t = l + 7, which gives t = 71.\n5. Compute m using m = t + 17, which gives m = 88.\n6. Compute x using x = m + 12, which gives x = 100.\n\nThus, the final answer is x = \\boxed{100}.",
"index": 300,
"question": "Suppose a collection of variables is related by the following definitions: r = v + 18; t = l + 7; a = r + 7; m = t + 17; x = m + 12; k = d + 19; p = j + 3; s = k + 9; j = a + 2; l = s + 17; d = 19; q = p + 1; v = d + 17. Given that d = 19, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 19", "t": "c + 2", "o": "t + 2", "k": "o + 9", "d": "k + 19", "m": "d + 9", "e": "x + 12", "r": "e + 1", "v": "r + 4", "s": "v + 1", "a": "s + 8", "f": "a + 11", "x": 18}, "premises": {"x": 18}, "target": "m"}, "answer": {"steps": [["c", "x + 19", 37], ["t", "c + 2", 39], ["o", "t + 2", 41], ["k", "o + 9", 50], ["d", "k + 19", 69], ["m", "d + 9", 78]], "target_var_name": "m", "target_value": 78, "value_dict": {"x": 18, "c": 37, "t": 39, "o": 41, "k": 50, "d": 69, "m": 78}, "is_reverse": false}} | 301 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = d + 9; k = o + 9; e = x + 12; d = k + 19; c = x + 19; f = a + 11; v = r + 4; r = e + 1; t = c + 2; s = v + 1; x = 18; o = t + 2; a = s + 8. If x = 18, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = x + 19, which gives c = 37.\n2. Compute t using t = c + 2, which gives t = 39.\n3. Compute o using o = t + 2, which gives o = 41.\n4. Compute k using k = o + 9, which gives k = 50.\n5. Compute d using d = k + 19, which gives d = 69.\n6. Compute m using m = d + 9, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 301,
"question": "Consider a system of variables where each variable is defined as follows: m = d + 9; k = o + 9; e = x + 12; d = k + 19; c = x + 19; f = a + 11; v = r + 4; r = e + 1; t = c + 2; s = v + 1; x = 18; o = t + 2; a = s + 8. If x = 18, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 15", "j": "z + 11", "o": "j + 11", "m": "o + 7", "f": "m + 12", "a": "f + 6", "r": "c + 5", "s": "r + 12", "y": "s + 3", "q": "y + 14", "e": "q + 10", "g": "e + 1", "c": 20}, "premises": {"c": 20}, "target": "a"}, "answer": {"steps": [["z", "c + 15", 35], ["j", "z + 11", 46], ["o", "j + 11", 57], ["m", "o + 7", 64], ["f", "m + 12", 76], ["a", "f + 6", 82]], "target_var_name": "a", "target_value": 82, "value_dict": {"c": 20, "z": 35, "j": 46, "o": 57, "m": 64, "f": 76, "a": 82}, "is_reverse": false}} | 302 | 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 = s + 3; q = y + 14; m = o + 7; f = m + 12; c = 20; z = c + 15; o = j + 11; g = e + 1; j = z + 11; r = c + 5; s = r + 12; e = q + 10; a = f + 6. If c = 20, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = c + 15, which gives z = 35.\n2. Compute j using j = z + 11, which gives j = 46.\n3. Compute o using o = j + 11, which gives o = 57.\n4. Compute m using m = o + 7, which gives m = 64.\n5. Compute f using f = m + 12, which gives f = 76.\n6. Compute a using a = f + 6, which gives a = 82.\n\nThus, the final answer is a = \\boxed{82}.",
"index": 302,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = s + 3; q = y + 14; m = o + 7; f = m + 12; c = 20; z = c + 15; o = j + 11; g = e + 1; j = z + 11; r = c + 5; s = r + 12; e = q + 10; a = f + 6. If c = 20, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 19", "j": "b + 8", "r": "j + 15", "n": "r + 18", "y": "n + 8", "f": "y + 12", "w": "o + 7", "e": "w + 14", "g": "e + 5", "h": "g + 11", "d": "h + 13", "s": "d + 6", "o": 19}, "premises": {"o": 19}, "target": "f"}, "answer": {"steps": [["b", "o + 19", 38], ["j", "b + 8", 46], ["r", "j + 15", 61], ["n", "r + 18", 79], ["y", "n + 8", 87], ["f", "y + 12", 99]], "target_var_name": "f", "target_value": 99, "value_dict": {"o": 19, "b": 38, "j": 46, "r": 61, "n": 79, "y": 87, "f": 99}, "is_reverse": false}} | 303 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = j + 15; h = g + 11; g = e + 5; y = n + 8; o = 19; f = y + 12; n = r + 18; d = h + 13; b = o + 19; j = b + 8; w = o + 7; e = w + 14; s = d + 6. Given that o = 19, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = o + 19, which gives b = 38.\n2. Compute j using j = b + 8, which gives j = 46.\n3. Compute r using r = j + 15, which gives r = 61.\n4. Compute n using n = r + 18, which gives n = 79.\n5. Compute y using y = n + 8, which gives y = 87.\n6. Compute f using f = y + 12, which gives f = 99.\n\nThus, the final answer is f = \\boxed{99}.",
"index": 303,
"question": "Suppose a collection of variables is related by the following definitions: r = j + 15; h = g + 11; g = e + 5; y = n + 8; o = 19; f = y + 12; n = r + 18; d = h + 13; b = o + 19; j = b + 8; w = o + 7; e = w + 14; s = d + 6. Given that o = 19, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 10", "a": "s + 4", "l": "a + 7", "w": "l + 14", "o": "w + 18", "v": "o + 11", "d": "f + 1", "q": "d + 7", "t": "q + 17", "m": "t + 11", "u": "m + 11", "p": "u + 3", "f": 13}, "premises": {"f": 13}, "target": "v"}, "answer": {"steps": [["s", "f + 10", 23], ["a", "s + 4", 27], ["l", "a + 7", 34], ["w", "l + 14", 48], ["o", "w + 18", 66], ["v", "o + 11", 77]], "target_var_name": "v", "target_value": 77, "value_dict": {"f": 13, "s": 23, "a": 27, "l": 34, "w": 48, "o": 66, "v": 77}, "is_reverse": false}} | 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: l = a + 7; s = f + 10; f = 13; t = q + 17; o = w + 18; d = f + 1; w = l + 14; v = o + 11; a = s + 4; p = u + 3; q = d + 7; m = t + 11; u = m + 11. If f = 13, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = f + 10, which gives s = 23.\n2. Compute a using a = s + 4, which gives a = 27.\n3. Compute l using l = a + 7, which gives l = 34.\n4. Compute w using w = l + 14, which gives w = 48.\n5. Compute o using o = w + 18, which gives o = 66.\n6. Compute v using v = o + 11, which gives v = 77.\n\nThus, the final answer is v = \\boxed{77}.",
"index": 304,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = a + 7; s = f + 10; f = 13; t = q + 17; o = w + 18; d = f + 1; w = l + 14; v = o + 11; a = s + 4; p = u + 3; q = d + 7; m = t + 11; u = m + 11. If f = 13, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"k": "x + 19", "f": "k + 9", "c": "f + 8", "q": "c + 2", "v": "q + 8", "o": "v + 4", "i": "x + 9", "p": "i + 6", "s": "p + 20", "d": "s + 13", "a": "d + 2", "l": "a + 19", "x": 5}, "premises": {"x": 5}, "target": "o"}, "answer": {"steps": [["k", "x + 19", 24], ["f", "k + 9", 33], ["c", "f + 8", 41], ["q", "c + 2", 43], ["v", "q + 8", 51], ["o", "v + 4", 55]], "target_var_name": "o", "target_value": 55, "value_dict": {"x": 5, "k": 24, "f": 33, "c": 41, "q": 43, "v": 51, "o": 55}, "is_reverse": false}} | 305 | 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 = c + 2; a = d + 2; f = k + 9; p = i + 6; v = q + 8; k = x + 19; l = a + 19; x = 5; s = p + 20; o = v + 4; d = s + 13; i = x + 9; c = f + 8. If x = 5, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = x + 19, which gives k = 24.\n2. Compute f using f = k + 9, which gives f = 33.\n3. Compute c using c = f + 8, which gives c = 41.\n4. Compute q using q = c + 2, which gives q = 43.\n5. Compute v using v = q + 8, which gives v = 51.\n6. Compute o using o = v + 4, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 305,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 2; a = d + 2; f = k + 9; p = i + 6; v = q + 8; k = x + 19; l = a + 19; x = 5; s = p + 20; o = v + 4; d = s + 13; i = x + 9; c = f + 8. If x = 5, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 5", "i": "w + 17", "r": "i + 8", "n": "r + 13", "c": "n + 7", "b": "c + 8", "g": "y + 3", "x": "g + 4", "u": "x + 18", "z": "u + 14", "f": "z + 18", "o": "f + 18", "y": 16}, "premises": {"y": 16}, "target": "b"}, "answer": {"steps": [["w", "y + 5", 21], ["i", "w + 17", 38], ["r", "i + 8", 46], ["n", "r + 13", 59], ["c", "n + 7", 66], ["b", "c + 8", 74]], "target_var_name": "b", "target_value": 74, "value_dict": {"y": 16, "w": 21, "i": 38, "r": 46, "n": 59, "c": 66, "b": 74}, "is_reverse": false}} | 306 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = u + 14; b = c + 8; n = r + 13; f = z + 18; i = w + 17; g = y + 3; o = f + 18; x = g + 4; y = 16; w = y + 5; r = i + 8; c = n + 7; u = x + 18. If y = 16, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = y + 5, which gives w = 21.\n2. Compute i using i = w + 17, which gives i = 38.\n3. Compute r using r = i + 8, which gives r = 46.\n4. Compute n using n = r + 13, which gives n = 59.\n5. Compute c using c = n + 7, which gives c = 66.\n6. Compute b using b = c + 8, which gives b = 74.\n\nThus, the final answer is b = \\boxed{74}.",
"index": 306,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = u + 14; b = c + 8; n = r + 13; f = z + 18; i = w + 17; g = y + 3; o = f + 18; x = g + 4; y = 16; w = y + 5; r = i + 8; c = n + 7; u = x + 18. If y = 16, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 15", "f": "k + 17", "z": "f + 1", "v": "z + 13", "x": "v + 16", "s": "x + 5", "l": "j + 6", "t": "l + 1", "g": "t + 20", "d": "g + 16", "n": "d + 11", "h": "n + 16", "j": 4}, "premises": {"j": 4}, "target": "s"}, "answer": {"steps": [["k", "j + 15", 19], ["f", "k + 17", 36], ["z", "f + 1", 37], ["v", "z + 13", 50], ["x", "v + 16", 66], ["s", "x + 5", 71]], "target_var_name": "s", "target_value": 71, "value_dict": {"j": 4, "k": 19, "f": 36, "z": 37, "v": 50, "x": 66, "s": 71}, "is_reverse": false}} | 307 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = j + 15; d = g + 16; g = t + 20; j = 4; x = v + 16; h = n + 16; v = z + 13; z = f + 1; s = x + 5; f = k + 17; l = j + 6; n = d + 11; t = l + 1. If j = 4, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = j + 15, which gives k = 19.\n2. Compute f using f = k + 17, which gives f = 36.\n3. Compute z using z = f + 1, which gives z = 37.\n4. Compute v using v = z + 13, which gives v = 50.\n5. Compute x using x = v + 16, which gives x = 66.\n6. Compute s using s = x + 5, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 307,
"question": "Consider a system of variables where each variable is defined as follows: k = j + 15; d = g + 16; g = t + 20; j = 4; x = v + 16; h = n + 16; v = z + 13; z = f + 1; s = x + 5; f = k + 17; l = j + 6; n = d + 11; t = l + 1. If j = 4, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 6", "x": "r + 19", "l": "x + 20", "o": "l + 5", "i": "o + 20", "s": "i + 6", "g": "w + 1", "n": "g + 6", "k": "n + 10", "z": "k + 5", "t": "z + 9", "e": "t + 5", "w": 5}, "premises": {"w": 5}, "target": "s"}, "answer": {"steps": [["r", "w + 6", 11], ["x", "r + 19", 30], ["l", "x + 20", 50], ["o", "l + 5", 55], ["i", "o + 20", 75], ["s", "i + 6", 81]], "target_var_name": "s", "target_value": 81, "value_dict": {"w": 5, "r": 11, "x": 30, "l": 50, "o": 55, "i": 75, "s": 81}, "is_reverse": false}} | 308 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = g + 6; w = 5; g = w + 1; e = t + 5; k = n + 10; r = w + 6; t = z + 9; x = r + 19; i = o + 20; z = k + 5; s = i + 6; l = x + 20; o = l + 5. If w = 5, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = w + 6, which gives r = 11.\n2. Compute x using x = r + 19, which gives x = 30.\n3. Compute l using l = x + 20, which gives l = 50.\n4. Compute o using o = l + 5, which gives o = 55.\n5. Compute i using i = o + 20, which gives i = 75.\n6. Compute s using s = i + 6, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 308,
"question": "Consider a system of variables where each variable is defined as follows: n = g + 6; w = 5; g = w + 1; e = t + 5; k = n + 10; r = w + 6; t = z + 9; x = r + 19; i = o + 20; z = k + 5; s = i + 6; l = x + 20; o = l + 5. If w = 5, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 15", "y": "u + 4", "t": "y + 17", "v": "t + 11", "k": "v + 18", "x": "k + 3", "r": "d + 17", "o": "r + 14", "f": "o + 9", "w": "f + 6", "c": "w + 9", "q": "c + 10", "d": 14}, "premises": {"d": 14}, "target": "x"}, "answer": {"steps": [["u", "d + 15", 29], ["y", "u + 4", 33], ["t", "y + 17", 50], ["v", "t + 11", 61], ["k", "v + 18", 79], ["x", "k + 3", 82]], "target_var_name": "x", "target_value": 82, "value_dict": {"d": 14, "u": 29, "y": 33, "t": 50, "v": 61, "k": 79, "x": 82}, "is_reverse": false}} | 309 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = d + 15; t = y + 17; w = f + 6; k = v + 18; c = w + 9; y = u + 4; v = t + 11; o = r + 14; f = o + 9; d = 14; x = k + 3; q = c + 10; r = d + 17. If d = 14, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = d + 15, which gives u = 29.\n2. Compute y using y = u + 4, which gives y = 33.\n3. Compute t using t = y + 17, which gives t = 50.\n4. Compute v using v = t + 11, which gives v = 61.\n5. Compute k using k = v + 18, which gives k = 79.\n6. Compute x using x = k + 3, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 309,
"question": "Consider a system of variables where each variable is defined as follows: u = d + 15; t = y + 17; w = f + 6; k = v + 18; c = w + 9; y = u + 4; v = t + 11; o = r + 14; f = o + 9; d = 14; x = k + 3; q = c + 10; r = d + 17. If d = 14, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"y": "w + 8", "m": "y + 12", "o": "m + 11", "h": "o + 10", "a": "h + 6", "j": "a + 16", "d": "w + 7", "r": "d + 20", "b": "r + 16", "z": "b + 12", "t": "z + 13", "p": "t + 11", "w": 8}, "premises": {"w": 8}, "target": "j"}, "answer": {"steps": [["y", "w + 8", 16], ["m", "y + 12", 28], ["o", "m + 11", 39], ["h", "o + 10", 49], ["a", "h + 6", 55], ["j", "a + 16", 71]], "target_var_name": "j", "target_value": 71, "value_dict": {"w": 8, "y": 16, "m": 28, "o": 39, "h": 49, "a": 55, "j": 71}, "is_reverse": false}} | 310 | 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 = z + 13; h = o + 10; b = r + 16; z = b + 12; r = d + 20; m = y + 12; o = m + 11; a = h + 6; w = 8; y = w + 8; p = t + 11; j = a + 16; d = w + 7. If w = 8, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = w + 8, which gives y = 16.\n2. Compute m using m = y + 12, which gives m = 28.\n3. Compute o using o = m + 11, which gives o = 39.\n4. Compute h using h = o + 10, which gives h = 49.\n5. Compute a using a = h + 6, which gives a = 55.\n6. Compute j using j = a + 16, which gives j = 71.\n\nThus, the final answer is j = \\boxed{71}.",
"index": 310,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 13; h = o + 10; b = r + 16; z = b + 12; r = d + 20; m = y + 12; o = m + 11; a = h + 6; w = 8; y = w + 8; p = t + 11; j = a + 16; d = w + 7. If w = 8, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 8", "t": "w + 18", "s": "t + 10", "z": "s + 1", "n": "z + 15", "y": "n + 7", "g": "l + 2", "u": "g + 4", "m": "u + 19", "v": "m + 9", "r": "v + 11", "x": "r + 15", "l": 4}, "premises": {"l": 4}, "target": "y"}, "answer": {"steps": [["w", "l + 8", 12], ["t", "w + 18", 30], ["s", "t + 10", 40], ["z", "s + 1", 41], ["n", "z + 15", 56], ["y", "n + 7", 63]], "target_var_name": "y", "target_value": 63, "value_dict": {"l": 4, "w": 12, "t": 30, "s": 40, "z": 41, "n": 56, "y": 63}, "is_reverse": false}} | 311 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 18; w = l + 8; s = t + 10; l = 4; g = l + 2; x = r + 15; u = g + 4; r = v + 11; m = u + 19; n = z + 15; y = n + 7; z = s + 1; v = m + 9. Given that l = 4, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = l + 8, which gives w = 12.\n2. Compute t using t = w + 18, which gives t = 30.\n3. Compute s using s = t + 10, which gives s = 40.\n4. Compute z using z = s + 1, which gives z = 41.\n5. Compute n using n = z + 15, which gives n = 56.\n6. Compute y using y = n + 7, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 311,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 18; w = l + 8; s = t + 10; l = 4; g = l + 2; x = r + 15; u = g + 4; r = v + 11; m = u + 19; n = z + 15; y = n + 7; z = s + 1; v = m + 9. Given that l = 4, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 20", "h": "s + 19", "w": "h + 19", "j": "w + 10", "y": "j + 10", "d": "y + 14", "b": "c + 20", "x": "b + 19", "a": "x + 11", "f": "a + 3", "z": "f + 13", "n": "z + 13", "c": 4}, "premises": {"c": 4}, "target": "d"}, "answer": {"steps": [["s", "c + 20", 24], ["h", "s + 19", 43], ["w", "h + 19", 62], ["j", "w + 10", 72], ["y", "j + 10", 82], ["d", "y + 14", 96]], "target_var_name": "d", "target_value": 96, "value_dict": {"c": 4, "s": 24, "h": 43, "w": 62, "j": 72, "y": 82, "d": 96}, "is_reverse": false}} | 312 | 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 = c + 20; z = f + 13; a = x + 11; y = j + 10; x = b + 19; d = y + 14; f = a + 3; s = c + 20; n = z + 13; c = 4; h = s + 19; j = w + 10; w = h + 19. If c = 4, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = c + 20, which gives s = 24.\n2. Compute h using h = s + 19, which gives h = 43.\n3. Compute w using w = h + 19, which gives w = 62.\n4. Compute j using j = w + 10, which gives j = 72.\n5. Compute y using y = j + 10, which gives y = 82.\n6. Compute d using d = y + 14, which gives d = 96.\n\nThus, the final answer is d = \\boxed{96}.",
"index": 312,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = c + 20; z = f + 13; a = x + 11; y = j + 10; x = b + 19; d = y + 14; f = a + 3; s = c + 20; n = z + 13; c = 4; h = s + 19; j = w + 10; w = h + 19. If c = 4, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 10", "s": "v + 14", "h": "s + 10", "a": "h + 20", "d": "a + 17", "w": "d + 19", "n": "k + 15", "t": "n + 3", "u": "t + 3", "m": "u + 17", "z": "m + 7", "p": "z + 20", "k": 4}, "premises": {"k": 4}, "target": "w"}, "answer": {"steps": [["v", "k + 10", 14], ["s", "v + 14", 28], ["h", "s + 10", 38], ["a", "h + 20", 58], ["d", "a + 17", 75], ["w", "d + 19", 94]], "target_var_name": "w", "target_value": 94, "value_dict": {"k": 4, "v": 14, "s": 28, "h": 38, "a": 58, "d": 75, "w": 94}, "is_reverse": false}} | 313 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 4; h = s + 10; v = k + 10; n = k + 15; z = m + 7; s = v + 14; t = n + 3; u = t + 3; p = z + 20; a = h + 20; w = d + 19; m = u + 17; d = a + 17. If k = 4, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = k + 10, which gives v = 14.\n2. Compute s using s = v + 14, which gives s = 28.\n3. Compute h using h = s + 10, which gives h = 38.\n4. Compute a using a = h + 20, which gives a = 58.\n5. Compute d using d = a + 17, which gives d = 75.\n6. Compute w using w = d + 19, which gives w = 94.\n\nThus, the final answer is w = \\boxed{94}.",
"index": 313,
"question": "Consider a system of variables where each variable is defined as follows: k = 4; h = s + 10; v = k + 10; n = k + 15; z = m + 7; s = v + 14; t = n + 3; u = t + 3; p = z + 20; a = h + 20; w = d + 19; m = u + 17; d = a + 17. If k = 4, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "d + 8", "x": "l + 18", "q": "x + 17", "s": "q + 7", "z": "s + 9", "w": "z + 20", "b": "d + 19", "h": "b + 5", "g": "h + 13", "r": "g + 12", "u": "r + 12", "n": "u + 11", "d": 1}, "premises": {"d": 1}, "target": "w"}, "answer": {"steps": [["l", "d + 8", 9], ["x", "l + 18", 27], ["q", "x + 17", 44], ["s", "q + 7", 51], ["z", "s + 9", 60], ["w", "z + 20", 80]], "target_var_name": "w", "target_value": 80, "value_dict": {"d": 1, "l": 9, "x": 27, "q": 44, "s": 51, "z": 60, "w": 80}, "is_reverse": false}} | 314 | 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; n = u + 11; l = d + 8; g = h + 13; b = d + 19; h = b + 5; d = 1; z = s + 9; x = l + 18; r = g + 12; q = x + 17; w = z + 20; u = r + 12. Given that d = 1, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = d + 8, which gives l = 9.\n2. Compute x using x = l + 18, which gives x = 27.\n3. Compute q using q = x + 17, which gives q = 44.\n4. Compute s using s = q + 7, which gives s = 51.\n5. Compute z using z = s + 9, which gives z = 60.\n6. Compute w using w = z + 20, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 314,
"question": "Suppose a collection of variables is related by the following definitions: s = q + 7; n = u + 11; l = d + 8; g = h + 13; b = d + 19; h = b + 5; d = 1; z = s + 9; x = l + 18; r = g + 12; q = x + 17; w = z + 20; u = r + 12. Given that d = 1, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 1", "b": "l + 19", "i": "b + 5", "t": "i + 1", "g": "t + 1", "c": "g + 13", "d": "h + 12", "f": "d + 13", "x": "f + 3", "m": "x + 9", "a": "m + 7", "v": "a + 13", "h": 15}, "premises": {"h": 15}, "target": "c"}, "answer": {"steps": [["l", "h + 1", 16], ["b", "l + 19", 35], ["i", "b + 5", 40], ["t", "i + 1", 41], ["g", "t + 1", 42], ["c", "g + 13", 55]], "target_var_name": "c", "target_value": 55, "value_dict": {"h": 15, "l": 16, "b": 35, "i": 40, "t": 41, "g": 42, "c": 55}, "is_reverse": false}} | 315 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = t + 1; c = g + 13; a = m + 7; i = b + 5; l = h + 1; f = d + 13; m = x + 9; t = i + 1; v = a + 13; x = f + 3; h = 15; d = h + 12; b = l + 19. Given that h = 15, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = h + 1, which gives l = 16.\n2. Compute b using b = l + 19, which gives b = 35.\n3. Compute i using i = b + 5, which gives i = 40.\n4. Compute t using t = i + 1, which gives t = 41.\n5. Compute g using g = t + 1, which gives g = 42.\n6. Compute c using c = g + 13, which gives c = 55.\n\nThus, the final answer is c = \\boxed{55}.",
"index": 315,
"question": "Suppose a collection of variables is related by the following definitions: g = t + 1; c = g + 13; a = m + 7; i = b + 5; l = h + 1; f = d + 13; m = x + 9; t = i + 1; v = a + 13; x = f + 3; h = 15; d = h + 12; b = l + 19. Given that h = 15, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "c + 16", "y": "q + 18", "i": "y + 13", "w": "i + 8", "b": "w + 9", "l": "b + 11", "t": "c + 11", "p": "t + 10", "e": "p + 12", "d": "e + 16", "x": "d + 4", "o": "x + 11", "c": 10}, "premises": {"c": 10}, "target": "l"}, "answer": {"steps": [["q", "c + 16", 26], ["y", "q + 18", 44], ["i", "y + 13", 57], ["w", "i + 8", 65], ["b", "w + 9", 74], ["l", "b + 11", 85]], "target_var_name": "l", "target_value": 85, "value_dict": {"c": 10, "q": 26, "y": 44, "i": 57, "w": 65, "b": 74, "l": 85}, "is_reverse": false}} | 316 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = i + 8; i = y + 13; y = q + 18; x = d + 4; p = t + 10; d = e + 16; q = c + 16; t = c + 11; c = 10; o = x + 11; e = p + 12; b = w + 9; l = b + 11. If c = 10, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = c + 16, which gives q = 26.\n2. Compute y using y = q + 18, which gives y = 44.\n3. Compute i using i = y + 13, which gives i = 57.\n4. Compute w using w = i + 8, which gives w = 65.\n5. Compute b using b = w + 9, which gives b = 74.\n6. Compute l using l = b + 11, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 316,
"question": "Consider a system of variables where each variable is defined as follows: w = i + 8; i = y + 13; y = q + 18; x = d + 4; p = t + 10; d = e + 16; q = c + 16; t = c + 11; c = 10; o = x + 11; e = p + 12; b = w + 9; l = b + 11. If c = 10, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 15", "r": "p + 3", "i": "r + 19", "v": "i + 2", "l": "v + 3", "y": "l + 12", "t": "u + 18", "q": "t + 10", "z": "q + 16", "s": "z + 3", "a": "s + 15", "n": "a + 2", "u": 4}, "premises": {"u": 4}, "target": "y"}, "answer": {"steps": [["p", "u + 15", 19], ["r", "p + 3", 22], ["i", "r + 19", 41], ["v", "i + 2", 43], ["l", "v + 3", 46], ["y", "l + 12", 58]], "target_var_name": "y", "target_value": 58, "value_dict": {"u": 4, "p": 19, "r": 22, "i": 41, "v": 43, "l": 46, "y": 58}, "is_reverse": false}} | 317 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = 4; p = u + 15; a = s + 15; l = v + 3; q = t + 10; v = i + 2; z = q + 16; i = r + 19; t = u + 18; n = a + 2; r = p + 3; s = z + 3; y = l + 12. If u = 4, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = u + 15, which gives p = 19.\n2. Compute r using r = p + 3, which gives r = 22.\n3. Compute i using i = r + 19, which gives i = 41.\n4. Compute v using v = i + 2, which gives v = 43.\n5. Compute l using l = v + 3, which gives l = 46.\n6. Compute y using y = l + 12, which gives y = 58.\n\nThus, the final answer is y = \\boxed{58}.",
"index": 317,
"question": "Consider a system of variables where each variable is defined as follows: u = 4; p = u + 15; a = s + 15; l = v + 3; q = t + 10; v = i + 2; z = q + 16; i = r + 19; t = u + 18; n = a + 2; r = p + 3; s = z + 3; y = l + 12. If u = 4, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 9", "q": "y + 9", "s": "q + 16", "o": "s + 3", "h": "o + 13", "g": "h + 20", "j": "n + 19", "l": "j + 7", "t": "l + 13", "f": "t + 4", "r": "f + 5", "i": "r + 20", "n": 9}, "premises": {"n": 9}, "target": "g"}, "answer": {"steps": [["y", "n + 9", 18], ["q", "y + 9", 27], ["s", "q + 16", 43], ["o", "s + 3", 46], ["h", "o + 13", 59], ["g", "h + 20", 79]], "target_var_name": "g", "target_value": 79, "value_dict": {"n": 9, "y": 18, "q": 27, "s": 43, "o": 46, "h": 59, "g": 79}, "is_reverse": false}} | 318 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = o + 13; f = t + 4; o = s + 3; y = n + 9; s = q + 16; g = h + 20; n = 9; q = y + 9; t = l + 13; l = j + 7; i = r + 20; j = n + 19; r = f + 5. Given that n = 9, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = n + 9, which gives y = 18.\n2. Compute q using q = y + 9, which gives q = 27.\n3. Compute s using s = q + 16, which gives s = 43.\n4. Compute o using o = s + 3, which gives o = 46.\n5. Compute h using h = o + 13, which gives h = 59.\n6. Compute g using g = h + 20, which gives g = 79.\n\nThus, the final answer is g = \\boxed{79}.",
"index": 318,
"question": "Suppose a collection of variables is related by the following definitions: h = o + 13; f = t + 4; o = s + 3; y = n + 9; s = q + 16; g = h + 20; n = 9; q = y + 9; t = l + 13; l = j + 7; i = r + 20; j = n + 19; r = f + 5. Given that n = 9, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 7", "g": "y + 3", "c": "g + 15", "z": "c + 16", "q": "z + 20", "i": "q + 20", "p": "h + 18", "e": "p + 5", "l": "e + 1", "o": "l + 8", "r": "o + 3", "t": "r + 16", "h": 15}, "premises": {"h": 15}, "target": "i"}, "answer": {"steps": [["y", "h + 7", 22], ["g", "y + 3", 25], ["c", "g + 15", 40], ["z", "c + 16", 56], ["q", "z + 20", 76], ["i", "q + 20", 96]], "target_var_name": "i", "target_value": 96, "value_dict": {"h": 15, "y": 22, "g": 25, "c": 40, "z": 56, "q": 76, "i": 96}, "is_reverse": false}} | 319 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = h + 18; g = y + 3; c = g + 15; i = q + 20; r = o + 3; q = z + 20; t = r + 16; o = l + 8; e = p + 5; z = c + 16; l = e + 1; h = 15; y = h + 7. Given that h = 15, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = h + 7, which gives y = 22.\n2. Compute g using g = y + 3, which gives g = 25.\n3. Compute c using c = g + 15, which gives c = 40.\n4. Compute z using z = c + 16, which gives z = 56.\n5. Compute q using q = z + 20, which gives q = 76.\n6. Compute i using i = q + 20, which gives i = 96.\n\nThus, the final answer is i = \\boxed{96}.",
"index": 319,
"question": "Suppose a collection of variables is related by the following definitions: p = h + 18; g = y + 3; c = g + 15; i = q + 20; r = o + 3; q = z + 20; t = r + 16; o = l + 8; e = p + 5; z = c + 16; l = e + 1; h = 15; y = h + 7. Given that h = 15, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 13", "r": "g + 10", "e": "r + 16", "u": "e + 6", "k": "u + 13", "s": "k + 8", "t": "q + 3", "y": "t + 4", "m": "y + 10", "h": "m + 9", "n": "h + 6", "i": "n + 20", "q": 6}, "premises": {"q": 6}, "target": "s"}, "answer": {"steps": [["g", "q + 13", 19], ["r", "g + 10", 29], ["e", "r + 16", 45], ["u", "e + 6", 51], ["k", "u + 13", 64], ["s", "k + 8", 72]], "target_var_name": "s", "target_value": 72, "value_dict": {"q": 6, "g": 19, "r": 29, "e": 45, "u": 51, "k": 64, "s": 72}, "is_reverse": false}} | 320 | 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 = m + 9; g = q + 13; m = y + 10; t = q + 3; e = r + 16; n = h + 6; u = e + 6; q = 6; k = u + 13; y = t + 4; i = n + 20; r = g + 10; s = k + 8. If q = 6, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = q + 13, which gives g = 19.\n2. Compute r using r = g + 10, which gives r = 29.\n3. Compute e using e = r + 16, which gives e = 45.\n4. Compute u using u = e + 6, which gives u = 51.\n5. Compute k using k = u + 13, which gives k = 64.\n6. Compute s using s = k + 8, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 320,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = m + 9; g = q + 13; m = y + 10; t = q + 3; e = r + 16; n = h + 6; u = e + 6; q = 6; k = u + 13; y = t + 4; i = n + 20; r = g + 10; s = k + 8. If q = 6, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"q": "c + 6", "k": "q + 14", "x": "k + 10", "u": "x + 10", "b": "u + 7", "v": "b + 7", "z": "c + 2", "l": "z + 5", "w": "l + 16", "o": "w + 19", "r": "o + 3", "y": "r + 19", "c": 16}, "premises": {"c": 16}, "target": "v"}, "answer": {"steps": [["q", "c + 6", 22], ["k", "q + 14", 36], ["x", "k + 10", 46], ["u", "x + 10", 56], ["b", "u + 7", 63], ["v", "b + 7", 70]], "target_var_name": "v", "target_value": 70, "value_dict": {"c": 16, "q": 22, "k": 36, "x": 46, "u": 56, "b": 63, "v": 70}, "is_reverse": false}} | 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: k = q + 14; b = u + 7; l = z + 5; z = c + 2; w = l + 16; o = w + 19; y = r + 19; r = o + 3; c = 16; q = c + 6; u = x + 10; v = b + 7; x = k + 10. If c = 16, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = c + 6, which gives q = 22.\n2. Compute k using k = q + 14, which gives k = 36.\n3. Compute x using x = k + 10, which gives x = 46.\n4. Compute u using u = x + 10, which gives u = 56.\n5. Compute b using b = u + 7, which gives b = 63.\n6. Compute v using v = b + 7, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 321,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = q + 14; b = u + 7; l = z + 5; z = c + 2; w = l + 16; o = w + 19; y = r + 19; r = o + 3; c = 16; q = c + 6; u = x + 10; v = b + 7; x = k + 10. If c = 16, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 13", "u": "s + 13", "r": "u + 14", "n": "r + 9", "x": "n + 9", "d": "x + 15", "w": "f + 4", "k": "w + 1", "e": "k + 20", "o": "e + 6", "j": "o + 4", "a": "j + 2", "f": 12}, "premises": {"f": 12}, "target": "d"}, "answer": {"steps": [["s", "f + 13", 25], ["u", "s + 13", 38], ["r", "u + 14", 52], ["n", "r + 9", 61], ["x", "n + 9", 70], ["d", "x + 15", 85]], "target_var_name": "d", "target_value": 85, "value_dict": {"f": 12, "s": 25, "u": 38, "r": 52, "n": 61, "x": 70, "d": 85}, "is_reverse": false}} | 322 | 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 + 9; o = e + 6; d = x + 15; f = 12; w = f + 4; a = j + 2; s = f + 13; e = k + 20; r = u + 14; x = n + 9; k = w + 1; j = o + 4; u = s + 13. If f = 12, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = f + 13, which gives s = 25.\n2. Compute u using u = s + 13, which gives u = 38.\n3. Compute r using r = u + 14, which gives r = 52.\n4. Compute n using n = r + 9, which gives n = 61.\n5. Compute x using x = n + 9, which gives x = 70.\n6. Compute d using d = x + 15, which gives d = 85.\n\nThus, the final answer is d = \\boxed{85}.",
"index": 322,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = r + 9; o = e + 6; d = x + 15; f = 12; w = f + 4; a = j + 2; s = f + 13; e = k + 20; r = u + 14; x = n + 9; k = w + 1; j = o + 4; u = s + 13. If f = 12, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"h": "k + 1", "x": "h + 20", "g": "x + 14", "u": "g + 11", "i": "u + 3", "o": "i + 9", "p": "k + 4", "l": "p + 8", "b": "l + 15", "a": "b + 1", "w": "a + 18", "s": "w + 12", "k": 17}, "premises": {"k": 17}, "target": "o"}, "answer": {"steps": [["h", "k + 1", 18], ["x", "h + 20", 38], ["g", "x + 14", 52], ["u", "g + 11", 63], ["i", "u + 3", 66], ["o", "i + 9", 75]], "target_var_name": "o", "target_value": 75, "value_dict": {"k": 17, "h": 18, "x": 38, "g": 52, "u": 63, "i": 66, "o": 75}, "is_reverse": false}} | 323 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = l + 15; u = g + 11; s = w + 12; w = a + 18; i = u + 3; g = x + 14; x = h + 20; p = k + 4; o = i + 9; a = b + 1; k = 17; l = p + 8; h = k + 1. Given that k = 17, find 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. Compute h using h = k + 1, which gives h = 18.\n2. Compute x using x = h + 20, which gives x = 38.\n3. Compute g using g = x + 14, which gives g = 52.\n4. Compute u using u = g + 11, which gives u = 63.\n5. Compute i using i = u + 3, which gives i = 66.\n6. Compute o using o = i + 9, which gives o = 75.\n\nThus, the final answer is o = \\boxed{75}.",
"index": 323,
"question": "Suppose a collection of variables is related by the following definitions: b = l + 15; u = g + 11; s = w + 12; w = a + 18; i = u + 3; g = x + 14; x = h + 20; p = k + 4; o = i + 9; a = b + 1; k = 17; l = p + 8; h = k + 1. Given that k = 17, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 2", "w": "s + 8", "b": "w + 4", "e": "b + 15", "k": "e + 7", "y": "k + 4", "f": "a + 11", "o": "f + 7", "g": "o + 3", "x": "g + 7", "n": "x + 13", "l": "n + 19", "a": 10}, "premises": {"a": 10}, "target": "y"}, "answer": {"steps": [["s", "a + 2", 12], ["w", "s + 8", 20], ["b", "w + 4", 24], ["e", "b + 15", 39], ["k", "e + 7", 46], ["y", "k + 4", 50]], "target_var_name": "y", "target_value": 50, "value_dict": {"a": 10, "s": 12, "w": 20, "b": 24, "e": 39, "k": 46, "y": 50}, "is_reverse": false}} | 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: y = k + 4; s = a + 2; k = e + 7; b = w + 4; l = n + 19; e = b + 15; o = f + 7; x = g + 7; w = s + 8; f = a + 11; n = x + 13; a = 10; g = o + 3. If a = 10, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = a + 2, which gives s = 12.\n2. Compute w using w = s + 8, which gives w = 20.\n3. Compute b using b = w + 4, which gives b = 24.\n4. Compute e using e = b + 15, which gives e = 39.\n5. Compute k using k = e + 7, which gives k = 46.\n6. Compute y using y = k + 4, which gives y = 50.\n\nThus, the final answer is y = \\boxed{50}.",
"index": 324,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = k + 4; s = a + 2; k = e + 7; b = w + 4; l = n + 19; e = b + 15; o = f + 7; x = g + 7; w = s + 8; f = a + 11; n = x + 13; a = 10; g = o + 3. If a = 10, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 16", "q": "z + 19", "n": "q + 13", "h": "n + 19", "o": "h + 4", "u": "o + 19", "e": "a + 1", "m": "e + 9", "y": "m + 14", "l": "y + 16", "w": "l + 2", "p": "w + 17", "a": 17}, "premises": {"a": 17}, "target": "u"}, "answer": {"steps": [["z", "a + 16", 33], ["q", "z + 19", 52], ["n", "q + 13", 65], ["h", "n + 19", 84], ["o", "h + 4", 88], ["u", "o + 19", 107]], "target_var_name": "u", "target_value": 107, "value_dict": {"a": 17, "z": 33, "q": 52, "n": 65, "h": 84, "o": 88, "u": 107}, "is_reverse": false}} | 325 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = 17; h = n + 19; w = l + 2; o = h + 4; z = a + 16; n = q + 13; m = e + 9; q = z + 19; u = o + 19; p = w + 17; e = a + 1; y = m + 14; l = y + 16. Given that a = 17, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = a + 16, which gives z = 33.\n2. Compute q using q = z + 19, which gives q = 52.\n3. Compute n using n = q + 13, which gives n = 65.\n4. Compute h using h = n + 19, which gives h = 84.\n5. Compute o using o = h + 4, which gives o = 88.\n6. Compute u using u = o + 19, which gives u = 107.\n\nThus, the final answer is u = \\boxed{107}.",
"index": 325,
"question": "Suppose a collection of variables is related by the following definitions: a = 17; h = n + 19; w = l + 2; o = h + 4; z = a + 16; n = q + 13; m = e + 9; q = z + 19; u = o + 19; p = w + 17; e = a + 1; y = m + 14; l = y + 16. Given that a = 17, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"l": "d + 3", "n": "l + 16", "c": "n + 8", "t": "c + 15", "r": "t + 17", "k": "r + 3", "h": "d + 18", "s": "h + 20", "u": "s + 6", "x": "u + 5", "v": "x + 17", "a": "v + 17", "d": 19}, "premises": {"d": 19}, "target": "k"}, "answer": {"steps": [["l", "d + 3", 22], ["n", "l + 16", 38], ["c", "n + 8", 46], ["t", "c + 15", 61], ["r", "t + 17", 78], ["k", "r + 3", 81]], "target_var_name": "k", "target_value": 81, "value_dict": {"d": 19, "l": 22, "n": 38, "c": 46, "t": 61, "r": 78, "k": 81}, "is_reverse": false}} | 326 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = d + 18; s = h + 20; c = n + 8; a = v + 17; l = d + 3; x = u + 5; n = l + 16; r = t + 17; k = r + 3; u = s + 6; v = x + 17; t = c + 15; d = 19. If d = 19, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = d + 3, which gives l = 22.\n2. Compute n using n = l + 16, which gives n = 38.\n3. Compute c using c = n + 8, which gives c = 46.\n4. Compute t using t = c + 15, which gives t = 61.\n5. Compute r using r = t + 17, which gives r = 78.\n6. Compute k using k = r + 3, which gives k = 81.\n\nThus, the final answer is k = \\boxed{81}.",
"index": 326,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = d + 18; s = h + 20; c = n + 8; a = v + 17; l = d + 3; x = u + 5; n = l + 16; r = t + 17; k = r + 3; u = s + 6; v = x + 17; t = c + 15; d = 19. If d = 19, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"q": "t + 19", "y": "q + 13", "j": "y + 16", "b": "j + 1", "p": "b + 14", "a": "p + 15", "i": "t + 9", "u": "i + 13", "k": "u + 4", "o": "k + 11", "h": "o + 10", "m": "h + 11", "t": 1}, "premises": {"t": 1}, "target": "a"}, "answer": {"steps": [["q", "t + 19", 20], ["y", "q + 13", 33], ["j", "y + 16", 49], ["b", "j + 1", 50], ["p", "b + 14", 64], ["a", "p + 15", 79]], "target_var_name": "a", "target_value": 79, "value_dict": {"t": 1, "q": 20, "y": 33, "j": 49, "b": 50, "p": 64, "a": 79}, "is_reverse": false}} | 327 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = k + 11; h = o + 10; t = 1; p = b + 14; i = t + 9; a = p + 15; k = u + 4; b = j + 1; u = i + 13; m = h + 11; y = q + 13; j = y + 16; q = t + 19. Given that t = 1, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = t + 19, which gives q = 20.\n2. Compute y using y = q + 13, which gives y = 33.\n3. Compute j using j = y + 16, which gives j = 49.\n4. Compute b using b = j + 1, which gives b = 50.\n5. Compute p using p = b + 14, which gives p = 64.\n6. Compute a using a = p + 15, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 327,
"question": "Suppose a collection of variables is related by the following definitions: o = k + 11; h = o + 10; t = 1; p = b + 14; i = t + 9; a = p + 15; k = u + 4; b = j + 1; u = i + 13; m = h + 11; y = q + 13; j = y + 16; q = t + 19. Given that t = 1, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 4", "o": "s + 20", "t": "o + 5", "f": "t + 7", "d": "f + 7", "w": "d + 1", "h": "l + 15", "y": "h + 4", "q": "y + 12", "n": "q + 3", "c": "n + 20", "b": "c + 20", "l": 10}, "premises": {"l": 10}, "target": "w"}, "answer": {"steps": [["s", "l + 4", 14], ["o", "s + 20", 34], ["t", "o + 5", 39], ["f", "t + 7", 46], ["d", "f + 7", 53], ["w", "d + 1", 54]], "target_var_name": "w", "target_value": 54, "value_dict": {"l": 10, "s": 14, "o": 34, "t": 39, "f": 46, "d": 53, "w": 54}, "is_reverse": false}} | 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: n = q + 3; h = l + 15; s = l + 4; c = n + 20; l = 10; o = s + 20; f = t + 7; y = h + 4; d = f + 7; b = c + 20; q = y + 12; t = o + 5; w = d + 1. If l = 10, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = l + 4, which gives s = 14.\n2. Compute o using o = s + 20, which gives o = 34.\n3. Compute t using t = o + 5, which gives t = 39.\n4. Compute f using f = t + 7, which gives f = 46.\n5. Compute d using d = f + 7, which gives d = 53.\n6. Compute w using w = d + 1, which gives w = 54.\n\nThus, the final answer is w = \\boxed{54}.",
"index": 328,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 3; h = l + 15; s = l + 4; c = n + 20; l = 10; o = s + 20; f = t + 7; y = h + 4; d = f + 7; b = c + 20; q = y + 12; t = o + 5; w = d + 1. If l = 10, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"f": "z + 10", "c": "f + 15", "l": "c + 12", "m": "l + 17", "k": "m + 5", "n": "k + 2", "s": "z + 19", "g": "s + 6", "b": "g + 18", "h": "b + 2", "v": "h + 9", "x": "v + 9", "z": 11}, "premises": {"z": 11}, "target": "n"}, "answer": {"steps": [["f", "z + 10", 21], ["c", "f + 15", 36], ["l", "c + 12", 48], ["m", "l + 17", 65], ["k", "m + 5", 70], ["n", "k + 2", 72]], "target_var_name": "n", "target_value": 72, "value_dict": {"z": 11, "f": 21, "c": 36, "l": 48, "m": 65, "k": 70, "n": 72}, "is_reverse": false}} | 329 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = b + 2; f = z + 10; s = z + 19; g = s + 6; k = m + 5; z = 11; x = v + 9; v = h + 9; m = l + 17; b = g + 18; l = c + 12; c = f + 15; n = k + 2. If z = 11, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = z + 10, which gives f = 21.\n2. Compute c using c = f + 15, which gives c = 36.\n3. Compute l using l = c + 12, which gives l = 48.\n4. Compute m using m = l + 17, which gives m = 65.\n5. Compute k using k = m + 5, which gives k = 70.\n6. Compute n using n = k + 2, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 329,
"question": "Consider a system of variables where each variable is defined as follows: h = b + 2; f = z + 10; s = z + 19; g = s + 6; k = m + 5; z = 11; x = v + 9; v = h + 9; m = l + 17; b = g + 18; l = c + 12; c = f + 15; n = k + 2. If z = 11, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"m": "z + 16", "f": "m + 13", "v": "f + 6", "x": "v + 3", "d": "x + 1", "b": "d + 8", "i": "z + 1", "l": "i + 19", "h": "l + 15", "q": "h + 3", "a": "q + 16", "e": "a + 6", "z": 20}, "premises": {"z": 20}, "target": "b"}, "answer": {"steps": [["m", "z + 16", 36], ["f", "m + 13", 49], ["v", "f + 6", 55], ["x", "v + 3", 58], ["d", "x + 1", 59], ["b", "d + 8", 67]], "target_var_name": "b", "target_value": 67, "value_dict": {"z": 20, "m": 36, "f": 49, "v": 55, "x": 58, "d": 59, "b": 67}, "is_reverse": false}} | 330 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = x + 1; l = i + 19; q = h + 3; e = a + 6; a = q + 16; z = 20; f = m + 13; v = f + 6; x = v + 3; b = d + 8; m = z + 16; h = l + 15; i = z + 1. Given that z = 20, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = z + 16, which gives m = 36.\n2. Compute f using f = m + 13, which gives f = 49.\n3. Compute v using v = f + 6, which gives v = 55.\n4. Compute x using x = v + 3, which gives x = 58.\n5. Compute d using d = x + 1, which gives d = 59.\n6. Compute b using b = d + 8, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 330,
"question": "Suppose a collection of variables is related by the following definitions: d = x + 1; l = i + 19; q = h + 3; e = a + 6; a = q + 16; z = 20; f = m + 13; v = f + 6; x = v + 3; b = d + 8; m = z + 16; h = l + 15; i = z + 1. Given that z = 20, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 9", "q": "x + 1", "e": "q + 18", "v": "e + 18", "s": "v + 15", "n": "s + 5", "g": "f + 10", "l": "g + 20", "h": "l + 18", "j": "h + 10", "w": "j + 12", "k": "w + 16", "f": 7}, "premises": {"f": 7}, "target": "n"}, "answer": {"steps": [["x", "f + 9", 16], ["q", "x + 1", 17], ["e", "q + 18", 35], ["v", "e + 18", 53], ["s", "v + 15", 68], ["n", "s + 5", 73]], "target_var_name": "n", "target_value": 73, "value_dict": {"f": 7, "x": 16, "q": 17, "e": 35, "v": 53, "s": 68, "n": 73}, "is_reverse": false}} | 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: k = w + 16; n = s + 5; q = x + 1; g = f + 10; l = g + 20; h = l + 18; v = e + 18; j = h + 10; w = j + 12; e = q + 18; f = 7; s = v + 15; x = f + 9. If f = 7, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = f + 9, which gives x = 16.\n2. Compute q using q = x + 1, which gives q = 17.\n3. Compute e using e = q + 18, which gives e = 35.\n4. Compute v using v = e + 18, which gives v = 53.\n5. Compute s using s = v + 15, which gives s = 68.\n6. Compute n using n = s + 5, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 331,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = w + 16; n = s + 5; q = x + 1; g = f + 10; l = g + 20; h = l + 18; v = e + 18; j = h + 10; w = j + 12; e = q + 18; f = 7; s = v + 15; x = f + 9. If f = 7, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 18", "o": "l + 1", "d": "o + 18", "m": "d + 1", "c": "m + 6", "g": "c + 13", "b": "p + 13", "w": "b + 2", "a": "w + 18", "s": "a + 12", "j": "s + 6", "f": "j + 18", "p": 15}, "premises": {"p": 15}, "target": "g"}, "answer": {"steps": [["l", "p + 18", 33], ["o", "l + 1", 34], ["d", "o + 18", 52], ["m", "d + 1", 53], ["c", "m + 6", 59], ["g", "c + 13", 72]], "target_var_name": "g", "target_value": 72, "value_dict": {"p": 15, "l": 33, "o": 34, "d": 52, "m": 53, "c": 59, "g": 72}, "is_reverse": false}} | 332 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = p + 13; w = b + 2; j = s + 6; f = j + 18; a = w + 18; l = p + 18; o = l + 1; g = c + 13; c = m + 6; m = d + 1; s = a + 12; d = o + 18; p = 15. If p = 15, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = p + 18, which gives l = 33.\n2. Compute o using o = l + 1, which gives o = 34.\n3. Compute d using d = o + 18, which gives d = 52.\n4. Compute m using m = d + 1, which gives m = 53.\n5. Compute c using c = m + 6, which gives c = 59.\n6. Compute g using g = c + 13, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 332,
"question": "Consider a system of variables where each variable is defined as follows: b = p + 13; w = b + 2; j = s + 6; f = j + 18; a = w + 18; l = p + 18; o = l + 1; g = c + 13; c = m + 6; m = d + 1; s = a + 12; d = o + 18; p = 15. If p = 15, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 20", "e": "x + 20", "p": "e + 1", "q": "p + 18", "y": "q + 18", "t": "y + 3", "l": "u + 18", "v": "l + 12", "o": "v + 8", "m": "o + 16", "k": "m + 15", "n": "k + 8", "u": 2}, "premises": {"u": 2}, "target": "t"}, "answer": {"steps": [["x", "u + 20", 22], ["e", "x + 20", 42], ["p", "e + 1", 43], ["q", "p + 18", 61], ["y", "q + 18", 79], ["t", "y + 3", 82]], "target_var_name": "t", "target_value": 82, "value_dict": {"u": 2, "x": 22, "e": 42, "p": 43, "q": 61, "y": 79, "t": 82}, "is_reverse": false}} | 333 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = u + 20; v = l + 12; y = q + 18; l = u + 18; e = x + 20; t = y + 3; p = e + 1; q = p + 18; m = o + 16; k = m + 15; n = k + 8; u = 2; o = v + 8. If u = 2, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = u + 20, which gives x = 22.\n2. Compute e using e = x + 20, which gives e = 42.\n3. Compute p using p = e + 1, which gives p = 43.\n4. Compute q using q = p + 18, which gives q = 61.\n5. Compute y using y = q + 18, which gives y = 79.\n6. Compute t using t = y + 3, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 333,
"question": "Consider a system of variables where each variable is defined as follows: x = u + 20; v = l + 12; y = q + 18; l = u + 18; e = x + 20; t = y + 3; p = e + 1; q = p + 18; m = o + 16; k = m + 15; n = k + 8; u = 2; o = v + 8. If u = 2, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 14", "n": "j + 12", "i": "n + 17", "t": "i + 16", "e": "t + 9", "x": "e + 13", "y": "v + 4", "o": "y + 4", "f": "o + 19", "w": "f + 4", "a": "w + 13", "r": "a + 11", "v": 17}, "premises": {"v": 17}, "target": "x"}, "answer": {"steps": [["j", "v + 14", 31], ["n", "j + 12", 43], ["i", "n + 17", 60], ["t", "i + 16", 76], ["e", "t + 9", 85], ["x", "e + 13", 98]], "target_var_name": "x", "target_value": 98, "value_dict": {"v": 17, "j": 31, "n": 43, "i": 60, "t": 76, "e": 85, "x": 98}, "is_reverse": false}} | 334 | 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 = t + 9; i = n + 17; n = j + 12; t = i + 16; x = e + 13; v = 17; j = v + 14; f = o + 19; a = w + 13; w = f + 4; o = y + 4; y = v + 4; r = a + 11. If v = 17, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = v + 14, which gives j = 31.\n2. Compute n using n = j + 12, which gives n = 43.\n3. Compute i using i = n + 17, which gives i = 60.\n4. Compute t using t = i + 16, which gives t = 76.\n5. Compute e using e = t + 9, which gives e = 85.\n6. Compute x using x = e + 13, which gives x = 98.\n\nThus, the final answer is x = \\boxed{98}.",
"index": 334,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = t + 9; i = n + 17; n = j + 12; t = i + 16; x = e + 13; v = 17; j = v + 14; f = o + 19; a = w + 13; w = f + 4; o = y + 4; y = v + 4; r = a + 11. If v = 17, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"f": "z + 9", "y": "f + 6", "p": "y + 13", "o": "p + 18", "m": "o + 7", "d": "m + 8", "j": "z + 12", "a": "j + 3", "n": "a + 13", "w": "n + 7", "i": "w + 11", "l": "i + 10", "z": 9}, "premises": {"z": 9}, "target": "d"}, "answer": {"steps": [["f", "z + 9", 18], ["y", "f + 6", 24], ["p", "y + 13", 37], ["o", "p + 18", 55], ["m", "o + 7", 62], ["d", "m + 8", 70]], "target_var_name": "d", "target_value": 70, "value_dict": {"z": 9, "f": 18, "y": 24, "p": 37, "o": 55, "m": 62, "d": 70}, "is_reverse": false}} | 335 | 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 = m + 8; w = n + 7; a = j + 3; y = f + 6; z = 9; o = p + 18; n = a + 13; l = i + 10; j = z + 12; i = w + 11; f = z + 9; p = y + 13; m = o + 7. If z = 9, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = z + 9, which gives f = 18.\n2. Compute y using y = f + 6, which gives y = 24.\n3. Compute p using p = y + 13, which gives p = 37.\n4. Compute o using o = p + 18, which gives o = 55.\n5. Compute m using m = o + 7, which gives m = 62.\n6. Compute d using d = m + 8, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 335,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = m + 8; w = n + 7; a = j + 3; y = f + 6; z = 9; o = p + 18; n = a + 13; l = i + 10; j = z + 12; i = w + 11; f = z + 9; p = y + 13; m = o + 7. If z = 9, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 10", "t": "j + 3", "s": "t + 5", "k": "s + 3", "v": "k + 7", "d": "v + 19", "u": "i + 15", "l": "u + 4", "m": "l + 11", "a": "m + 11", "y": "a + 3", "c": "y + 19", "i": 13}, "premises": {"i": 13}, "target": "d"}, "answer": {"steps": [["j", "i + 10", 23], ["t", "j + 3", 26], ["s", "t + 5", 31], ["k", "s + 3", 34], ["v", "k + 7", 41], ["d", "v + 19", 60]], "target_var_name": "d", "target_value": 60, "value_dict": {"i": 13, "j": 23, "t": 26, "s": 31, "k": 34, "v": 41, "d": 60}, "is_reverse": false}} | 336 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = 13; k = s + 3; d = v + 19; t = j + 3; a = m + 11; c = y + 19; m = l + 11; l = u + 4; u = i + 15; s = t + 5; v = k + 7; y = a + 3; j = i + 10. Given that i = 13, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = i + 10, which gives j = 23.\n2. Compute t using t = j + 3, which gives t = 26.\n3. Compute s using s = t + 5, which gives s = 31.\n4. Compute k using k = s + 3, which gives k = 34.\n5. Compute v using v = k + 7, which gives v = 41.\n6. Compute d using d = v + 19, which gives d = 60.\n\nThus, the final answer is d = \\boxed{60}.",
"index": 336,
"question": "Suppose a collection of variables is related by the following definitions: i = 13; k = s + 3; d = v + 19; t = j + 3; a = m + 11; c = y + 19; m = l + 11; l = u + 4; u = i + 15; s = t + 5; v = k + 7; y = a + 3; j = i + 10. Given that i = 13, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 9", "p": "x + 16", "f": "p + 9", "a": "f + 18", "y": "a + 7", "u": "y + 12", "g": "r + 6", "m": "g + 12", "z": "m + 20", "c": "z + 20", "q": "c + 6", "h": "q + 9", "r": 20}, "premises": {"r": 20}, "target": "u"}, "answer": {"steps": [["x", "r + 9", 29], ["p", "x + 16", 45], ["f", "p + 9", 54], ["a", "f + 18", 72], ["y", "a + 7", 79], ["u", "y + 12", 91]], "target_var_name": "u", "target_value": 91, "value_dict": {"r": 20, "x": 29, "p": 45, "f": 54, "a": 72, "y": 79, "u": 91}, "is_reverse": false}} | 337 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = r + 9; z = m + 20; u = y + 12; q = c + 6; g = r + 6; h = q + 9; f = p + 9; a = f + 18; p = x + 16; y = a + 7; c = z + 20; m = g + 12; r = 20. Given that r = 20, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = r + 9, which gives x = 29.\n2. Compute p using p = x + 16, which gives p = 45.\n3. Compute f using f = p + 9, which gives f = 54.\n4. Compute a using a = f + 18, which gives a = 72.\n5. Compute y using y = a + 7, which gives y = 79.\n6. Compute u using u = y + 12, which gives u = 91.\n\nThus, the final answer is u = \\boxed{91}.",
"index": 337,
"question": "Suppose a collection of variables is related by the following definitions: x = r + 9; z = m + 20; u = y + 12; q = c + 6; g = r + 6; h = q + 9; f = p + 9; a = f + 18; p = x + 16; y = a + 7; c = z + 20; m = g + 12; r = 20. Given that r = 20, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "o + 13", "k": "y + 1", "s": "k + 12", "i": "s + 19", "m": "i + 10", "t": "m + 10", "h": "o + 9", "q": "h + 10", "g": "q + 19", "l": "g + 13", "w": "l + 14", "u": "w + 18", "o": 14}, "premises": {"o": 14}, "target": "t"}, "answer": {"steps": [["y", "o + 13", 27], ["k", "y + 1", 28], ["s", "k + 12", 40], ["i", "s + 19", 59], ["m", "i + 10", 69], ["t", "m + 10", 79]], "target_var_name": "t", "target_value": 79, "value_dict": {"o": 14, "y": 27, "k": 28, "s": 40, "i": 59, "m": 69, "t": 79}, "is_reverse": false}} | 338 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = h + 10; k = y + 1; s = k + 12; u = w + 18; h = o + 9; y = o + 13; t = m + 10; w = l + 14; g = q + 19; m = i + 10; o = 14; i = s + 19; l = g + 13. If o = 14, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = o + 13, which gives y = 27.\n2. Compute k using k = y + 1, which gives k = 28.\n3. Compute s using s = k + 12, which gives s = 40.\n4. Compute i using i = s + 19, which gives i = 59.\n5. Compute m using m = i + 10, which gives m = 69.\n6. Compute t using t = m + 10, which gives t = 79.\n\nThus, the final answer is t = \\boxed{79}.",
"index": 338,
"question": "Consider a system of variables where each variable is defined as follows: q = h + 10; k = y + 1; s = k + 12; u = w + 18; h = o + 9; y = o + 13; t = m + 10; w = l + 14; g = q + 19; m = i + 10; o = 14; i = s + 19; l = g + 13. If o = 14, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 12", "d": "g + 5", "q": "d + 9", "y": "q + 18", "k": "y + 6", "r": "k + 12", "i": "o + 6", "h": "i + 4", "v": "h + 1", "z": "v + 4", "u": "z + 8", "p": "u + 16", "o": 20}, "premises": {"o": 20}, "target": "r"}, "answer": {"steps": [["g", "o + 12", 32], ["d", "g + 5", 37], ["q", "d + 9", 46], ["y", "q + 18", 64], ["k", "y + 6", 70], ["r", "k + 12", 82]], "target_var_name": "r", "target_value": 82, "value_dict": {"o": 20, "g": 32, "d": 37, "q": 46, "y": 64, "k": 70, "r": 82}, "is_reverse": false}} | 339 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = o + 6; z = v + 4; o = 20; g = o + 12; u = z + 8; q = d + 9; h = i + 4; r = k + 12; v = h + 1; p = u + 16; y = q + 18; k = y + 6; d = g + 5. If o = 20, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = o + 12, which gives g = 32.\n2. Compute d using d = g + 5, which gives d = 37.\n3. Compute q using q = d + 9, which gives q = 46.\n4. Compute y using y = q + 18, which gives y = 64.\n5. Compute k using k = y + 6, which gives k = 70.\n6. Compute r using r = k + 12, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 339,
"question": "Consider a system of variables where each variable is defined as follows: i = o + 6; z = v + 4; o = 20; g = o + 12; u = z + 8; q = d + 9; h = i + 4; r = k + 12; v = h + 1; p = u + 16; y = q + 18; k = y + 6; d = g + 5. If o = 20, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 19", "k": "a + 6", "x": "k + 14", "b": "x + 9", "o": "b + 17", "p": "o + 2", "n": "t + 8", "r": "n + 19", "c": "r + 12", "f": "c + 17", "v": "f + 12", "g": "v + 1", "t": 20}, "premises": {"t": 20}, "target": "p"}, "answer": {"steps": [["a", "t + 19", 39], ["k", "a + 6", 45], ["x", "k + 14", 59], ["b", "x + 9", 68], ["o", "b + 17", 85], ["p", "o + 2", 87]], "target_var_name": "p", "target_value": 87, "value_dict": {"t": 20, "a": 39, "k": 45, "x": 59, "b": 68, "o": 85, "p": 87}, "is_reverse": false}} | 340 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = t + 8; c = r + 12; v = f + 12; g = v + 1; t = 20; x = k + 14; p = o + 2; o = b + 17; f = c + 17; a = t + 19; r = n + 19; b = x + 9; k = a + 6. Given that t = 20, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = t + 19, which gives a = 39.\n2. Compute k using k = a + 6, which gives k = 45.\n3. Compute x using x = k + 14, which gives x = 59.\n4. Compute b using b = x + 9, which gives b = 68.\n5. Compute o using o = b + 17, which gives o = 85.\n6. Compute p using p = o + 2, which gives p = 87.\n\nThus, the final answer is p = \\boxed{87}.",
"index": 340,
"question": "Suppose a collection of variables is related by the following definitions: n = t + 8; c = r + 12; v = f + 12; g = v + 1; t = 20; x = k + 14; p = o + 2; o = b + 17; f = c + 17; a = t + 19; r = n + 19; b = x + 9; k = a + 6. Given that t = 20, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"v": "y + 11", "r": "v + 11", "j": "r + 16", "k": "j + 4", "q": "k + 13", "h": "q + 16", "o": "y + 12", "w": "o + 16", "i": "w + 9", "z": "i + 2", "s": "z + 16", "p": "s + 16", "y": 16}, "premises": {"y": 16}, "target": "h"}, "answer": {"steps": [["v", "y + 11", 27], ["r", "v + 11", 38], ["j", "r + 16", 54], ["k", "j + 4", 58], ["q", "k + 13", 71], ["h", "q + 16", 87]], "target_var_name": "h", "target_value": 87, "value_dict": {"y": 16, "v": 27, "r": 38, "j": 54, "k": 58, "q": 71, "h": 87}, "is_reverse": false}} | 341 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = q + 16; o = y + 12; k = j + 4; i = w + 9; v = y + 11; r = v + 11; q = k + 13; j = r + 16; w = o + 16; y = 16; p = s + 16; z = i + 2; s = z + 16. If y = 16, 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. Compute v using v = y + 11, which gives v = 27.\n2. Compute r using r = v + 11, which gives r = 38.\n3. Compute j using j = r + 16, which gives j = 54.\n4. Compute k using k = j + 4, which gives k = 58.\n5. Compute q using q = k + 13, which gives q = 71.\n6. Compute h using h = q + 16, which gives h = 87.\n\nThus, the final answer is h = \\boxed{87}.",
"index": 341,
"question": "Consider a system of variables where each variable is defined as follows: h = q + 16; o = y + 12; k = j + 4; i = w + 9; v = y + 11; r = v + 11; q = k + 13; j = r + 16; w = o + 16; y = 16; p = s + 16; z = i + 2; s = z + 16. If y = 16, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 20", "p": "u + 7", "a": "p + 9", "d": "a + 6", "g": "d + 6", "b": "g + 19", "n": "j + 12", "c": "n + 13", "e": "c + 6", "r": "e + 6", "m": "r + 3", "k": "m + 13", "j": 13}, "premises": {"j": 13}, "target": "b"}, "answer": {"steps": [["u", "j + 20", 33], ["p", "u + 7", 40], ["a", "p + 9", 49], ["d", "a + 6", 55], ["g", "d + 6", 61], ["b", "g + 19", 80]], "target_var_name": "b", "target_value": 80, "value_dict": {"j": 13, "u": 33, "p": 40, "a": 49, "d": 55, "g": 61, "b": 80}, "is_reverse": false}} | 342 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = p + 9; g = d + 6; b = g + 19; j = 13; m = r + 3; d = a + 6; c = n + 13; k = m + 13; e = c + 6; r = e + 6; u = j + 20; n = j + 12; p = u + 7. Given that j = 13, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = j + 20, which gives u = 33.\n2. Compute p using p = u + 7, which gives p = 40.\n3. Compute a using a = p + 9, which gives a = 49.\n4. Compute d using d = a + 6, which gives d = 55.\n5. Compute g using g = d + 6, which gives g = 61.\n6. Compute b using b = g + 19, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 342,
"question": "Suppose a collection of variables is related by the following definitions: a = p + 9; g = d + 6; b = g + 19; j = 13; m = r + 3; d = a + 6; c = n + 13; k = m + 13; e = c + 6; r = e + 6; u = j + 20; n = j + 12; p = u + 7. Given that j = 13, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 18", "y": "p + 5", "i": "y + 2", "j": "i + 5", "x": "j + 8", "v": "x + 4", "a": "k + 11", "t": "a + 18", "z": "t + 4", "c": "z + 7", "o": "c + 3", "f": "o + 5", "k": 2}, "premises": {"k": 2}, "target": "v"}, "answer": {"steps": [["p", "k + 18", 20], ["y", "p + 5", 25], ["i", "y + 2", 27], ["j", "i + 5", 32], ["x", "j + 8", 40], ["v", "x + 4", 44]], "target_var_name": "v", "target_value": 44, "value_dict": {"k": 2, "p": 20, "y": 25, "i": 27, "j": 32, "x": 40, "v": 44}, "is_reverse": false}} | 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: o = c + 3; v = x + 4; k = 2; z = t + 4; c = z + 7; f = o + 5; t = a + 18; a = k + 11; j = i + 5; x = j + 8; i = y + 2; y = p + 5; p = k + 18. If k = 2, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = k + 18, which gives p = 20.\n2. Compute y using y = p + 5, which gives y = 25.\n3. Compute i using i = y + 2, which gives i = 27.\n4. Compute j using j = i + 5, which gives j = 32.\n5. Compute x using x = j + 8, which gives x = 40.\n6. Compute v using v = x + 4, which gives v = 44.\n\nThus, the final answer is v = \\boxed{44}.",
"index": 343,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 3; v = x + 4; k = 2; z = t + 4; c = z + 7; f = o + 5; t = a + 18; a = k + 11; j = i + 5; x = j + 8; i = y + 2; y = p + 5; p = k + 18. If k = 2, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 6", "h": "z + 9", "t": "h + 13", "o": "t + 17", "a": "o + 15", "r": "a + 5", "l": "s + 18", "e": "l + 10", "n": "e + 2", "j": "n + 11", "q": "j + 13", "d": "q + 9", "s": 16}, "premises": {"s": 16}, "target": "r"}, "answer": {"steps": [["z", "s + 6", 22], ["h", "z + 9", 31], ["t", "h + 13", 44], ["o", "t + 17", 61], ["a", "o + 15", 76], ["r", "a + 5", 81]], "target_var_name": "r", "target_value": 81, "value_dict": {"s": 16, "z": 22, "h": 31, "t": 44, "o": 61, "a": 76, "r": 81}, "is_reverse": false}} | 344 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = o + 15; d = q + 9; o = t + 17; h = z + 9; r = a + 5; n = e + 2; s = 16; q = j + 13; l = s + 18; j = n + 11; t = h + 13; e = l + 10; z = s + 6. Given that s = 16, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = s + 6, which gives z = 22.\n2. Compute h using h = z + 9, which gives h = 31.\n3. Compute t using t = h + 13, which gives t = 44.\n4. Compute o using o = t + 17, which gives o = 61.\n5. Compute a using a = o + 15, which gives a = 76.\n6. Compute r using r = a + 5, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 344,
"question": "Suppose a collection of variables is related by the following definitions: a = o + 15; d = q + 9; o = t + 17; h = z + 9; r = a + 5; n = e + 2; s = 16; q = j + 13; l = s + 18; j = n + 11; t = h + 13; e = l + 10; z = s + 6. Given that s = 16, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"f": "m + 2", "n": "f + 4", "o": "n + 2", "y": "o + 18", "t": "y + 1", "h": "t + 18", "i": "m + 11", "d": "i + 13", "z": "d + 18", "b": "z + 1", "v": "b + 4", "u": "v + 7", "m": 12}, "premises": {"m": 12}, "target": "h"}, "answer": {"steps": [["f", "m + 2", 14], ["n", "f + 4", 18], ["o", "n + 2", 20], ["y", "o + 18", 38], ["t", "y + 1", 39], ["h", "t + 18", 57]], "target_var_name": "h", "target_value": 57, "value_dict": {"m": 12, "f": 14, "n": 18, "o": 20, "y": 38, "t": 39, "h": 57}, "is_reverse": false}} | 345 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = m + 11; b = z + 1; h = t + 18; d = i + 13; o = n + 2; y = o + 18; v = b + 4; u = v + 7; m = 12; z = d + 18; f = m + 2; t = y + 1; n = f + 4. Given that m = 12, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = m + 2, which gives f = 14.\n2. Compute n using n = f + 4, which gives n = 18.\n3. Compute o using o = n + 2, which gives o = 20.\n4. Compute y using y = o + 18, which gives y = 38.\n5. Compute t using t = y + 1, which gives t = 39.\n6. Compute h using h = t + 18, which gives h = 57.\n\nThus, the final answer is h = \\boxed{57}.",
"index": 345,
"question": "Suppose a collection of variables is related by the following definitions: i = m + 11; b = z + 1; h = t + 18; d = i + 13; o = n + 2; y = o + 18; v = b + 4; u = v + 7; m = 12; z = d + 18; f = m + 2; t = y + 1; n = f + 4. Given that m = 12, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 13", "v": "a + 13", "u": "v + 17", "y": "u + 10", "e": "y + 11", "x": "e + 7", "k": "i + 10", "p": "k + 20", "m": "p + 7", "q": "m + 18", "z": "q + 3", "w": "z + 4", "i": 10}, "premises": {"i": 10}, "target": "x"}, "answer": {"steps": [["a", "i + 13", 23], ["v", "a + 13", 36], ["u", "v + 17", 53], ["y", "u + 10", 63], ["e", "y + 11", 74], ["x", "e + 7", 81]], "target_var_name": "x", "target_value": 81, "value_dict": {"i": 10, "a": 23, "v": 36, "u": 53, "y": 63, "e": 74, "x": 81}, "is_reverse": false}} | 346 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = a + 13; i = 10; y = u + 10; w = z + 4; p = k + 20; k = i + 10; x = e + 7; u = v + 17; a = i + 13; e = y + 11; z = q + 3; m = p + 7; q = m + 18. Given that i = 10, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = i + 13, which gives a = 23.\n2. Compute v using v = a + 13, which gives v = 36.\n3. Compute u using u = v + 17, which gives u = 53.\n4. Compute y using y = u + 10, which gives y = 63.\n5. Compute e using e = y + 11, which gives e = 74.\n6. Compute x using x = e + 7, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 346,
"question": "Suppose a collection of variables is related by the following definitions: v = a + 13; i = 10; y = u + 10; w = z + 4; p = k + 20; k = i + 10; x = e + 7; u = v + 17; a = i + 13; e = y + 11; z = q + 3; m = p + 7; q = m + 18. Given that i = 10, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 11", "r": "t + 20", "g": "r + 19", "j": "g + 16", "e": "j + 12", "a": "e + 18", "i": "c + 15", "f": "i + 6", "b": "f + 2", "w": "b + 11", "d": "w + 5", "s": "d + 3", "c": 20}, "premises": {"c": 20}, "target": "a"}, "answer": {"steps": [["t", "c + 11", 31], ["r", "t + 20", 51], ["g", "r + 19", 70], ["j", "g + 16", 86], ["e", "j + 12", 98], ["a", "e + 18", 116]], "target_var_name": "a", "target_value": 116, "value_dict": {"c": 20, "t": 31, "r": 51, "g": 70, "j": 86, "e": 98, "a": 116}, "is_reverse": false}} | 347 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = w + 5; t = c + 11; e = j + 12; i = c + 15; r = t + 20; g = r + 19; b = f + 2; f = i + 6; w = b + 11; c = 20; a = e + 18; j = g + 16; s = d + 3. If c = 20, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 116,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = c + 11, which gives t = 31.\n2. Compute r using r = t + 20, which gives r = 51.\n3. Compute g using g = r + 19, which gives g = 70.\n4. Compute j using j = g + 16, which gives j = 86.\n5. Compute e using e = j + 12, which gives e = 98.\n6. Compute a using a = e + 18, which gives a = 116.\n\nThus, the final answer is a = \\boxed{116}.",
"index": 347,
"question": "Consider a system of variables where each variable is defined as follows: d = w + 5; t = c + 11; e = j + 12; i = c + 15; r = t + 20; g = r + 19; b = f + 2; f = i + 6; w = b + 11; c = 20; a = e + 18; j = g + 16; s = d + 3. If c = 20, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 19", "i": "j + 2", "n": "i + 10", "g": "n + 9", "l": "g + 11", "f": "l + 15", "b": "p + 11", "v": "b + 11", "q": "v + 9", "d": "q + 7", "u": "d + 15", "h": "u + 15", "p": 6}, "premises": {"p": 6}, "target": "f"}, "answer": {"steps": [["j", "p + 19", 25], ["i", "j + 2", 27], ["n", "i + 10", 37], ["g", "n + 9", 46], ["l", "g + 11", 57], ["f", "l + 15", 72]], "target_var_name": "f", "target_value": 72, "value_dict": {"p": 6, "j": 25, "i": 27, "n": 37, "g": 46, "l": 57, "f": 72}, "is_reverse": false}} | 348 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = p + 11; v = b + 11; u = d + 15; h = u + 15; j = p + 19; l = g + 11; n = i + 10; p = 6; g = n + 9; i = j + 2; d = q + 7; f = l + 15; q = v + 9. Given that p = 6, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = p + 19, which gives j = 25.\n2. Compute i using i = j + 2, which gives i = 27.\n3. Compute n using n = i + 10, which gives n = 37.\n4. Compute g using g = n + 9, which gives g = 46.\n5. Compute l using l = g + 11, which gives l = 57.\n6. Compute f using f = l + 15, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 348,
"question": "Suppose a collection of variables is related by the following definitions: b = p + 11; v = b + 11; u = d + 15; h = u + 15; j = p + 19; l = g + 11; n = i + 10; p = 6; g = n + 9; i = j + 2; d = q + 7; f = l + 15; q = v + 9. Given that p = 6, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 9", "d": "e + 17", "t": "d + 20", "v": "t + 10", "p": "v + 8", "w": "p + 2", "a": "x + 14", "b": "a + 11", "j": "b + 1", "r": "j + 9", "i": "r + 4", "n": "i + 8", "x": 13}, "premises": {"x": 13}, "target": "w"}, "answer": {"steps": [["e", "x + 9", 22], ["d", "e + 17", 39], ["t", "d + 20", 59], ["v", "t + 10", 69], ["p", "v + 8", 77], ["w", "p + 2", 79]], "target_var_name": "w", "target_value": 79, "value_dict": {"x": 13, "e": 22, "d": 39, "t": 59, "v": 69, "p": 77, "w": 79}, "is_reverse": false}} | 349 | 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 = p + 2; b = a + 11; j = b + 1; a = x + 14; n = i + 8; r = j + 9; v = t + 10; d = e + 17; t = d + 20; p = v + 8; x = 13; i = r + 4; e = x + 9. If x = 13, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = x + 9, which gives e = 22.\n2. Compute d using d = e + 17, which gives d = 39.\n3. Compute t using t = d + 20, which gives t = 59.\n4. Compute v using v = t + 10, which gives v = 69.\n5. Compute p using p = v + 8, which gives p = 77.\n6. Compute w using w = p + 2, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 349,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = p + 2; b = a + 11; j = b + 1; a = x + 14; n = i + 8; r = j + 9; v = t + 10; d = e + 17; t = d + 20; p = v + 8; x = 13; i = r + 4; e = x + 9. If x = 13, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 19", "a": "m + 2", "x": "a + 10", "o": "x + 20", "s": "o + 9", "p": "s + 2", "n": "u + 6", "c": "n + 15", "q": "c + 14", "v": "q + 3", "g": "v + 4", "j": "g + 20", "u": 6}, "premises": {"u": 6}, "target": "p"}, "answer": {"steps": [["m", "u + 19", 25], ["a", "m + 2", 27], ["x", "a + 10", 37], ["o", "x + 20", 57], ["s", "o + 9", 66], ["p", "s + 2", 68]], "target_var_name": "p", "target_value": 68, "value_dict": {"u": 6, "m": 25, "a": 27, "x": 37, "o": 57, "s": 66, "p": 68}, "is_reverse": false}} | 350 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = a + 10; c = n + 15; q = c + 14; n = u + 6; v = q + 3; u = 6; s = o + 9; p = s + 2; g = v + 4; j = g + 20; m = u + 19; a = m + 2; o = x + 20. If u = 6, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = u + 19, which gives m = 25.\n2. Compute a using a = m + 2, which gives a = 27.\n3. Compute x using x = a + 10, which gives x = 37.\n4. Compute o using o = x + 20, which gives o = 57.\n5. Compute s using s = o + 9, which gives s = 66.\n6. Compute p using p = s + 2, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 350,
"question": "Consider a system of variables where each variable is defined as follows: x = a + 10; c = n + 15; q = c + 14; n = u + 6; v = q + 3; u = 6; s = o + 9; p = s + 2; g = v + 4; j = g + 20; m = u + 19; a = m + 2; o = x + 20. If u = 6, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 14", "o": "x + 19", "b": "o + 6", "h": "b + 15", "v": "h + 18", "l": "v + 5", "t": "p + 20", "m": "t + 9", "r": "m + 9", "z": "r + 19", "c": "z + 3", "k": "c + 11", "p": 17}, "premises": {"p": 17}, "target": "l"}, "answer": {"steps": [["x", "p + 14", 31], ["o", "x + 19", 50], ["b", "o + 6", 56], ["h", "b + 15", 71], ["v", "h + 18", 89], ["l", "v + 5", 94]], "target_var_name": "l", "target_value": 94, "value_dict": {"p": 17, "x": 31, "o": 50, "b": 56, "h": 71, "v": 89, "l": 94}, "is_reverse": false}} | 351 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = 17; v = h + 18; o = x + 19; l = v + 5; c = z + 3; k = c + 11; z = r + 19; t = p + 20; m = t + 9; x = p + 14; r = m + 9; b = o + 6; h = b + 15. If p = 17, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = p + 14, which gives x = 31.\n2. Compute o using o = x + 19, which gives o = 50.\n3. Compute b using b = o + 6, which gives b = 56.\n4. Compute h using h = b + 15, which gives h = 71.\n5. Compute v using v = h + 18, which gives v = 89.\n6. Compute l using l = v + 5, which gives l = 94.\n\nThus, the final answer is l = \\boxed{94}.",
"index": 351,
"question": "Consider a system of variables where each variable is defined as follows: p = 17; v = h + 18; o = x + 19; l = v + 5; c = z + 3; k = c + 11; z = r + 19; t = p + 20; m = t + 9; x = p + 14; r = m + 9; b = o + 6; h = b + 15. If p = 17, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 3", "d": "a + 8", "t": "d + 3", "q": "t + 18", "f": "q + 6", "w": "f + 20", "b": "r + 1", "v": "b + 8", "u": "v + 8", "g": "u + 11", "k": "g + 4", "e": "k + 14", "r": 14}, "premises": {"r": 14}, "target": "w"}, "answer": {"steps": [["a", "r + 3", 17], ["d", "a + 8", 25], ["t", "d + 3", 28], ["q", "t + 18", 46], ["f", "q + 6", 52], ["w", "f + 20", 72]], "target_var_name": "w", "target_value": 72, "value_dict": {"r": 14, "a": 17, "d": 25, "t": 28, "q": 46, "f": 52, "w": 72}, "is_reverse": false}} | 352 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = v + 8; t = d + 3; v = b + 8; k = g + 4; e = k + 14; q = t + 18; b = r + 1; w = f + 20; r = 14; f = q + 6; a = r + 3; g = u + 11; d = a + 8. Given that r = 14, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = r + 3, which gives a = 17.\n2. Compute d using d = a + 8, which gives d = 25.\n3. Compute t using t = d + 3, which gives t = 28.\n4. Compute q using q = t + 18, which gives q = 46.\n5. Compute f using f = q + 6, which gives f = 52.\n6. Compute w using w = f + 20, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 352,
"question": "Suppose a collection of variables is related by the following definitions: u = v + 8; t = d + 3; v = b + 8; k = g + 4; e = k + 14; q = t + 18; b = r + 1; w = f + 20; r = 14; f = q + 6; a = r + 3; g = u + 11; d = a + 8. Given that r = 14, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 9", "e": "q + 8", "k": "e + 17", "s": "k + 8", "z": "s + 7", "c": "z + 11", "r": "g + 17", "x": "r + 7", "p": "x + 8", "o": "p + 12", "b": "o + 4", "y": "b + 15", "g": 13}, "premises": {"g": 13}, "target": "c"}, "answer": {"steps": [["q", "g + 9", 22], ["e", "q + 8", 30], ["k", "e + 17", 47], ["s", "k + 8", 55], ["z", "s + 7", 62], ["c", "z + 11", 73]], "target_var_name": "c", "target_value": 73, "value_dict": {"g": 13, "q": 22, "e": 30, "k": 47, "s": 55, "z": 62, "c": 73}, "is_reverse": false}} | 353 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = r + 7; s = k + 8; k = e + 17; r = g + 17; g = 13; y = b + 15; p = x + 8; z = s + 7; c = z + 11; o = p + 12; e = q + 8; b = o + 4; q = g + 9. If g = 13, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = g + 9, which gives q = 22.\n2. Compute e using e = q + 8, which gives e = 30.\n3. Compute k using k = e + 17, which gives k = 47.\n4. Compute s using s = k + 8, which gives s = 55.\n5. Compute z using z = s + 7, which gives z = 62.\n6. Compute c using c = z + 11, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 353,
"question": "Consider a system of variables where each variable is defined as follows: x = r + 7; s = k + 8; k = e + 17; r = g + 17; g = 13; y = b + 15; p = x + 8; z = s + 7; c = z + 11; o = p + 12; e = q + 8; b = o + 4; q = g + 9. If g = 13, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 18", "y": "d + 11", "h": "y + 20", "n": "h + 6", "p": "n + 17", "o": "p + 19", "i": "j + 20", "r": "i + 8", "w": "r + 18", "u": "w + 13", "f": "u + 11", "g": "f + 16", "j": 17}, "premises": {"j": 17}, "target": "o"}, "answer": {"steps": [["d", "j + 18", 35], ["y", "d + 11", 46], ["h", "y + 20", 66], ["n", "h + 6", 72], ["p", "n + 17", 89], ["o", "p + 19", 108]], "target_var_name": "o", "target_value": 108, "value_dict": {"j": 17, "d": 35, "y": 46, "h": 66, "n": 72, "p": 89, "o": 108}, "is_reverse": false}} | 354 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = j + 18; r = i + 8; p = n + 17; f = u + 11; w = r + 18; u = w + 13; g = f + 16; h = y + 20; o = p + 19; y = d + 11; n = h + 6; j = 17; i = j + 20. Given that j = 17, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = j + 18, which gives d = 35.\n2. Compute y using y = d + 11, which gives y = 46.\n3. Compute h using h = y + 20, which gives h = 66.\n4. Compute n using n = h + 6, which gives n = 72.\n5. Compute p using p = n + 17, which gives p = 89.\n6. Compute o using o = p + 19, which gives o = 108.\n\nThus, the final answer is o = \\boxed{108}.",
"index": 354,
"question": "Suppose a collection of variables is related by the following definitions: d = j + 18; r = i + 8; p = n + 17; f = u + 11; w = r + 18; u = w + 13; g = f + 16; h = y + 20; o = p + 19; y = d + 11; n = h + 6; j = 17; i = j + 20. Given that j = 17, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 19", "j": "r + 19", "e": "j + 16", "l": "e + 18", "o": "l + 20", "s": "o + 19", "t": "v + 11", "n": "t + 8", "x": "n + 9", "p": "x + 1", "k": "p + 14", "m": "k + 5", "v": 10}, "premises": {"v": 10}, "target": "s"}, "answer": {"steps": [["r", "v + 19", 29], ["j", "r + 19", 48], ["e", "j + 16", 64], ["l", "e + 18", 82], ["o", "l + 20", 102], ["s", "o + 19", 121]], "target_var_name": "s", "target_value": 121, "value_dict": {"v": 10, "r": 29, "j": 48, "e": 64, "l": 82, "o": 102, "s": 121}, "is_reverse": false}} | 355 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = o + 19; o = l + 20; k = p + 14; v = 10; x = n + 9; l = e + 18; j = r + 19; n = t + 8; p = x + 1; t = v + 11; m = k + 5; e = j + 16; r = v + 19. Given that v = 10, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 121,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = v + 19, which gives r = 29.\n2. Compute j using j = r + 19, which gives j = 48.\n3. Compute e using e = j + 16, which gives e = 64.\n4. Compute l using l = e + 18, which gives l = 82.\n5. Compute o using o = l + 20, which gives o = 102.\n6. Compute s using s = o + 19, which gives s = 121.\n\nThus, the final answer is s = \\boxed{121}.",
"index": 355,
"question": "Suppose a collection of variables is related by the following definitions: s = o + 19; o = l + 20; k = p + 14; v = 10; x = n + 9; l = e + 18; j = r + 19; n = t + 8; p = x + 1; t = v + 11; m = k + 5; e = j + 16; r = v + 19. Given that v = 10, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"t": "n + 3", "q": "t + 11", "c": "q + 1", "z": "c + 17", "a": "z + 1", "x": "a + 6", "b": "n + 16", "w": "b + 20", "l": "w + 9", "p": "l + 9", "g": "p + 12", "y": "g + 20", "n": 12}, "premises": {"n": 12}, "target": "x"}, "answer": {"steps": [["t", "n + 3", 15], ["q", "t + 11", 26], ["c", "q + 1", 27], ["z", "c + 17", 44], ["a", "z + 1", 45], ["x", "a + 6", 51]], "target_var_name": "x", "target_value": 51, "value_dict": {"n": 12, "t": 15, "q": 26, "c": 27, "z": 44, "a": 45, "x": 51}, "is_reverse": false}} | 356 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = g + 20; n = 12; t = n + 3; c = q + 1; b = n + 16; l = w + 9; q = t + 11; w = b + 20; x = a + 6; p = l + 9; g = p + 12; a = z + 1; z = c + 17. If n = 12, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = n + 3, which gives t = 15.\n2. Compute q using q = t + 11, which gives q = 26.\n3. Compute c using c = q + 1, which gives c = 27.\n4. Compute z using z = c + 17, which gives z = 44.\n5. Compute a using a = z + 1, which gives a = 45.\n6. Compute x using x = a + 6, which gives x = 51.\n\nThus, the final answer is x = \\boxed{51}.",
"index": 356,
"question": "Consider a system of variables where each variable is defined as follows: y = g + 20; n = 12; t = n + 3; c = q + 1; b = n + 16; l = w + 9; q = t + 11; w = b + 20; x = a + 6; p = l + 9; g = p + 12; a = z + 1; z = c + 17. If n = 12, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 1", "c": "z + 18", "r": "c + 20", "l": "r + 3", "w": "l + 11", "u": "w + 7", "h": "a + 7", "o": "h + 12", "k": "o + 15", "s": "k + 3", "b": "s + 20", "q": "b + 10", "a": 4}, "premises": {"a": 4}, "target": "u"}, "answer": {"steps": [["z", "a + 1", 5], ["c", "z + 18", 23], ["r", "c + 20", 43], ["l", "r + 3", 46], ["w", "l + 11", 57], ["u", "w + 7", 64]], "target_var_name": "u", "target_value": 64, "value_dict": {"a": 4, "z": 5, "c": 23, "r": 43, "l": 46, "w": 57, "u": 64}, "is_reverse": false}} | 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: o = h + 12; k = o + 15; a = 4; l = r + 3; r = c + 20; z = a + 1; s = k + 3; c = z + 18; h = a + 7; u = w + 7; b = s + 20; w = l + 11; q = b + 10. If a = 4, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = a + 1, which gives z = 5.\n2. Compute c using c = z + 18, which gives c = 23.\n3. Compute r using r = c + 20, which gives r = 43.\n4. Compute l using l = r + 3, which gives l = 46.\n5. Compute w using w = l + 11, which gives w = 57.\n6. Compute u using u = w + 7, which gives u = 64.\n\nThus, the final answer is u = \\boxed{64}.",
"index": 357,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 12; k = o + 15; a = 4; l = r + 3; r = c + 20; z = a + 1; s = k + 3; c = z + 18; h = a + 7; u = w + 7; b = s + 20; w = l + 11; q = b + 10. If a = 4, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 15", "h": "r + 10", "a": "h + 14", "q": "a + 8", "b": "q + 2", "y": "b + 8", "e": "c + 1", "d": "e + 18", "x": "d + 10", "u": "x + 18", "i": "u + 10", "n": "i + 13", "c": 3}, "premises": {"c": 3}, "target": "y"}, "answer": {"steps": [["r", "c + 15", 18], ["h", "r + 10", 28], ["a", "h + 14", 42], ["q", "a + 8", 50], ["b", "q + 2", 52], ["y", "b + 8", 60]], "target_var_name": "y", "target_value": 60, "value_dict": {"c": 3, "r": 18, "h": 28, "a": 42, "q": 50, "b": 52, "y": 60}, "is_reverse": false}} | 358 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = d + 10; q = a + 8; c = 3; a = h + 14; r = c + 15; i = u + 10; d = e + 18; b = q + 2; e = c + 1; u = x + 18; h = r + 10; y = b + 8; n = i + 13. Given that c = 3, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = c + 15, which gives r = 18.\n2. Compute h using h = r + 10, which gives h = 28.\n3. Compute a using a = h + 14, which gives a = 42.\n4. Compute q using q = a + 8, which gives q = 50.\n5. Compute b using b = q + 2, which gives b = 52.\n6. Compute y using y = b + 8, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 358,
"question": "Suppose a collection of variables is related by the following definitions: x = d + 10; q = a + 8; c = 3; a = h + 14; r = c + 15; i = u + 10; d = e + 18; b = q + 2; e = c + 1; u = x + 18; h = r + 10; y = b + 8; n = i + 13. Given that c = 3, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 13", "r": "n + 11", "v": "r + 18", "x": "v + 12", "w": "x + 4", "s": "w + 3", "y": "c + 5", "h": "y + 20", "g": "h + 7", "q": "g + 6", "d": "q + 4", "a": "d + 10", "c": 20}, "premises": {"c": 20}, "target": "s"}, "answer": {"steps": [["n", "c + 13", 33], ["r", "n + 11", 44], ["v", "r + 18", 62], ["x", "v + 12", 74], ["w", "x + 4", 78], ["s", "w + 3", 81]], "target_var_name": "s", "target_value": 81, "value_dict": {"c": 20, "n": 33, "r": 44, "v": 62, "x": 74, "w": 78, "s": 81}, "is_reverse": false}} | 359 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = c + 5; g = h + 7; d = q + 4; a = d + 10; v = r + 18; r = n + 11; w = x + 4; h = y + 20; s = w + 3; x = v + 12; q = g + 6; n = c + 13; c = 20. If c = 20, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = c + 13, which gives n = 33.\n2. Compute r using r = n + 11, which gives r = 44.\n3. Compute v using v = r + 18, which gives v = 62.\n4. Compute x using x = v + 12, which gives x = 74.\n5. Compute w using w = x + 4, which gives w = 78.\n6. Compute s using s = w + 3, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 359,
"question": "Consider a system of variables where each variable is defined as follows: y = c + 5; g = h + 7; d = q + 4; a = d + 10; v = r + 18; r = n + 11; w = x + 4; h = y + 20; s = w + 3; x = v + 12; q = g + 6; n = c + 13; c = 20. If c = 20, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 7", "i": "s + 16", "u": "i + 17", "t": "u + 16", "n": "t + 6", "w": "n + 6", "a": "m + 5", "h": "a + 3", "q": "h + 12", "o": "q + 10", "r": "o + 20", "v": "r + 20", "m": 16}, "premises": {"m": 16}, "target": "w"}, "answer": {"steps": [["s", "m + 7", 23], ["i", "s + 16", 39], ["u", "i + 17", 56], ["t", "u + 16", 72], ["n", "t + 6", 78], ["w", "n + 6", 84]], "target_var_name": "w", "target_value": 84, "value_dict": {"m": 16, "s": 23, "i": 39, "u": 56, "t": 72, "n": 78, "w": 84}, "is_reverse": false}} | 360 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = i + 17; q = h + 12; m = 16; n = t + 6; s = m + 7; i = s + 16; t = u + 16; o = q + 10; r = o + 20; a = m + 5; h = a + 3; w = n + 6; v = r + 20. Given that m = 16, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = m + 7, which gives s = 23.\n2. Compute i using i = s + 16, which gives i = 39.\n3. Compute u using u = i + 17, which gives u = 56.\n4. Compute t using t = u + 16, which gives t = 72.\n5. Compute n using n = t + 6, which gives n = 78.\n6. Compute w using w = n + 6, which gives w = 84.\n\nThus, the final answer is w = \\boxed{84}.",
"index": 360,
"question": "Suppose a collection of variables is related by the following definitions: u = i + 17; q = h + 12; m = 16; n = t + 6; s = m + 7; i = s + 16; t = u + 16; o = q + 10; r = o + 20; a = m + 5; h = a + 3; w = n + 6; v = r + 20. Given that m = 16, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 18", "m": "o + 12", "k": "m + 7", "s": "k + 9", "f": "s + 1", "l": "f + 16", "r": "b + 1", "t": "r + 11", "e": "t + 16", "q": "e + 4", "i": "q + 6", "p": "i + 20", "b": 12}, "premises": {"b": 12}, "target": "l"}, "answer": {"steps": [["o", "b + 18", 30], ["m", "o + 12", 42], ["k", "m + 7", 49], ["s", "k + 9", 58], ["f", "s + 1", 59], ["l", "f + 16", 75]], "target_var_name": "l", "target_value": 75, "value_dict": {"b": 12, "o": 30, "m": 42, "k": 49, "s": 58, "f": 59, "l": 75}, "is_reverse": false}} | 361 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = t + 16; s = k + 9; f = s + 1; q = e + 4; l = f + 16; m = o + 12; k = m + 7; t = r + 11; o = b + 18; r = b + 1; p = i + 20; b = 12; i = q + 6. Given that b = 12, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = b + 18, which gives o = 30.\n2. Compute m using m = o + 12, which gives m = 42.\n3. Compute k using k = m + 7, which gives k = 49.\n4. Compute s using s = k + 9, which gives s = 58.\n5. Compute f using f = s + 1, which gives f = 59.\n6. Compute l using l = f + 16, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 361,
"question": "Suppose a collection of variables is related by the following definitions: e = t + 16; s = k + 9; f = s + 1; q = e + 4; l = f + 16; m = o + 12; k = m + 7; t = r + 11; o = b + 18; r = b + 1; p = i + 20; b = 12; i = q + 6. Given that b = 12, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"n": "k + 18", "w": "n + 15", "x": "w + 17", "l": "x + 1", "g": "l + 10", "e": "g + 1", "j": "k + 6", "t": "j + 15", "p": "t + 17", "a": "p + 12", "u": "a + 7", "r": "u + 10", "k": 3}, "premises": {"k": 3}, "target": "e"}, "answer": {"steps": [["n", "k + 18", 21], ["w", "n + 15", 36], ["x", "w + 17", 53], ["l", "x + 1", 54], ["g", "l + 10", 64], ["e", "g + 1", 65]], "target_var_name": "e", "target_value": 65, "value_dict": {"k": 3, "n": 21, "w": 36, "x": 53, "l": 54, "g": 64, "e": 65}, "is_reverse": false}} | 362 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = x + 1; x = w + 17; n = k + 18; r = u + 10; u = a + 7; g = l + 10; t = j + 15; a = p + 12; p = t + 17; e = g + 1; j = k + 6; w = n + 15; k = 3. Given that k = 3, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = k + 18, which gives n = 21.\n2. Compute w using w = n + 15, which gives w = 36.\n3. Compute x using x = w + 17, which gives x = 53.\n4. Compute l using l = x + 1, which gives l = 54.\n5. Compute g using g = l + 10, which gives g = 64.\n6. Compute e using e = g + 1, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 362,
"question": "Suppose a collection of variables is related by the following definitions: l = x + 1; x = w + 17; n = k + 18; r = u + 10; u = a + 7; g = l + 10; t = j + 15; a = p + 12; p = t + 17; e = g + 1; j = k + 6; w = n + 15; k = 3. Given that k = 3, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"p": "t + 1", "c": "p + 3", "q": "c + 9", "d": "q + 15", "y": "d + 17", "x": "y + 14", "l": "t + 14", "r": "l + 14", "h": "r + 8", "f": "h + 20", "b": "f + 11", "k": "b + 10", "t": 14}, "premises": {"t": 14}, "target": "x"}, "answer": {"steps": [["p", "t + 1", 15], ["c", "p + 3", 18], ["q", "c + 9", 27], ["d", "q + 15", 42], ["y", "d + 17", 59], ["x", "y + 14", 73]], "target_var_name": "x", "target_value": 73, "value_dict": {"t": 14, "p": 15, "c": 18, "q": 27, "d": 42, "y": 59, "x": 73}, "is_reverse": false}} | 363 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = 14; y = d + 17; q = c + 9; h = r + 8; c = p + 3; r = l + 14; d = q + 15; l = t + 14; x = y + 14; f = h + 20; p = t + 1; k = b + 10; b = f + 11. If t = 14, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = t + 1, which gives p = 15.\n2. Compute c using c = p + 3, which gives c = 18.\n3. Compute q using q = c + 9, which gives q = 27.\n4. Compute d using d = q + 15, which gives d = 42.\n5. Compute y using y = d + 17, which gives y = 59.\n6. Compute x using x = y + 14, which gives x = 73.\n\nThus, the final answer is x = \\boxed{73}.",
"index": 363,
"question": "Consider a system of variables where each variable is defined as follows: t = 14; y = d + 17; q = c + 9; h = r + 8; c = p + 3; r = l + 14; d = q + 15; l = t + 14; x = y + 14; f = h + 20; p = t + 1; k = b + 10; b = f + 11. If t = 14, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"g": "k + 5", "l": "g + 18", "v": "l + 5", "d": "v + 4", "b": "d + 12", "p": "b + 4", "s": "k + 18", "j": "s + 19", "q": "j + 3", "c": "q + 15", "e": "c + 8", "n": "e + 13", "k": 18}, "premises": {"k": 18}, "target": "p"}, "answer": {"steps": [["g", "k + 5", 23], ["l", "g + 18", 41], ["v", "l + 5", 46], ["d", "v + 4", 50], ["b", "d + 12", 62], ["p", "b + 4", 66]], "target_var_name": "p", "target_value": 66, "value_dict": {"k": 18, "g": 23, "l": 41, "v": 46, "d": 50, "b": 62, "p": 66}, "is_reverse": false}} | 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: b = d + 12; q = j + 3; k = 18; v = l + 5; e = c + 8; d = v + 4; s = k + 18; p = b + 4; c = q + 15; n = e + 13; l = g + 18; j = s + 19; g = k + 5. If k = 18, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = k + 5, which gives g = 23.\n2. Compute l using l = g + 18, which gives l = 41.\n3. Compute v using v = l + 5, which gives v = 46.\n4. Compute d using d = v + 4, which gives d = 50.\n5. Compute b using b = d + 12, which gives b = 62.\n6. Compute p using p = b + 4, which gives p = 66.\n\nThus, the final answer is p = \\boxed{66}.",
"index": 364,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = d + 12; q = j + 3; k = 18; v = l + 5; e = c + 8; d = v + 4; s = k + 18; p = b + 4; c = q + 15; n = e + 13; l = g + 18; j = s + 19; g = k + 5. If k = 18, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"j": "n + 18", "s": "j + 19", "d": "s + 4", "h": "d + 14", "p": "h + 6", "a": "p + 11", "x": "n + 19", "y": "x + 15", "o": "y + 20", "g": "o + 18", "b": "g + 13", "k": "b + 2", "n": 11}, "premises": {"n": 11}, "target": "a"}, "answer": {"steps": [["j", "n + 18", 29], ["s", "j + 19", 48], ["d", "s + 4", 52], ["h", "d + 14", 66], ["p", "h + 6", 72], ["a", "p + 11", 83]], "target_var_name": "a", "target_value": 83, "value_dict": {"n": 11, "j": 29, "s": 48, "d": 52, "h": 66, "p": 72, "a": 83}, "is_reverse": false}} | 365 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = h + 6; o = y + 20; k = b + 2; n = 11; a = p + 11; s = j + 19; y = x + 15; b = g + 13; d = s + 4; h = d + 14; g = o + 18; j = n + 18; x = n + 19. If n = 11, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = n + 18, which gives j = 29.\n2. Compute s using s = j + 19, which gives s = 48.\n3. Compute d using d = s + 4, which gives d = 52.\n4. Compute h using h = d + 14, which gives h = 66.\n5. Compute p using p = h + 6, which gives p = 72.\n6. Compute a using a = p + 11, which gives a = 83.\n\nThus, the final answer is a = \\boxed{83}.",
"index": 365,
"question": "Consider a system of variables where each variable is defined as follows: p = h + 6; o = y + 20; k = b + 2; n = 11; a = p + 11; s = j + 19; y = x + 15; b = g + 13; d = s + 4; h = d + 14; g = o + 18; j = n + 18; x = n + 19. If n = 11, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 1", "h": "s + 19", "e": "h + 10", "k": "e + 20", "i": "k + 8", "u": "i + 8", "p": "g + 2", "r": "p + 12", "d": "r + 2", "v": "d + 6", "n": "v + 4", "f": "n + 10", "g": 5}, "premises": {"g": 5}, "target": "u"}, "answer": {"steps": [["s", "g + 1", 6], ["h", "s + 19", 25], ["e", "h + 10", 35], ["k", "e + 20", 55], ["i", "k + 8", 63], ["u", "i + 8", 71]], "target_var_name": "u", "target_value": 71, "value_dict": {"g": 5, "s": 6, "h": 25, "e": 35, "k": 55, "i": 63, "u": 71}, "is_reverse": false}} | 366 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = g + 1; k = e + 20; n = v + 4; p = g + 2; g = 5; e = h + 10; f = n + 10; u = i + 8; h = s + 19; i = k + 8; d = r + 2; v = d + 6; r = p + 12. Given that g = 5, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = g + 1, which gives s = 6.\n2. Compute h using h = s + 19, which gives h = 25.\n3. Compute e using e = h + 10, which gives e = 35.\n4. Compute k using k = e + 20, which gives k = 55.\n5. Compute i using i = k + 8, which gives i = 63.\n6. Compute u using u = i + 8, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 366,
"question": "Suppose a collection of variables is related by the following definitions: s = g + 1; k = e + 20; n = v + 4; p = g + 2; g = 5; e = h + 10; f = n + 10; u = i + 8; h = s + 19; i = k + 8; d = r + 2; v = d + 6; r = p + 12. Given that g = 5, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 12", "x": "a + 6", "u": "x + 7", "r": "u + 4", "i": "r + 11", "h": "i + 4", "b": "v + 11", "m": "b + 5", "z": "m + 3", "s": "z + 12", "p": "s + 17", "d": "p + 13", "v": 18}, "premises": {"v": 18}, "target": "h"}, "answer": {"steps": [["a", "v + 12", 30], ["x", "a + 6", 36], ["u", "x + 7", 43], ["r", "u + 4", 47], ["i", "r + 11", 58], ["h", "i + 4", 62]], "target_var_name": "h", "target_value": 62, "value_dict": {"v": 18, "a": 30, "x": 36, "u": 43, "r": 47, "i": 58, "h": 62}, "is_reverse": false}} | 367 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = u + 4; p = s + 17; h = i + 4; a = v + 12; s = z + 12; d = p + 13; m = b + 5; v = 18; z = m + 3; b = v + 11; x = a + 6; u = x + 7; i = r + 11. If v = 18, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = v + 12, which gives a = 30.\n2. Compute x using x = a + 6, which gives x = 36.\n3. Compute u using u = x + 7, which gives u = 43.\n4. Compute r using r = u + 4, which gives r = 47.\n5. Compute i using i = r + 11, which gives i = 58.\n6. Compute h using h = i + 4, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 367,
"question": "Consider a system of variables where each variable is defined as follows: r = u + 4; p = s + 17; h = i + 4; a = v + 12; s = z + 12; d = p + 13; m = b + 5; v = 18; z = m + 3; b = v + 11; x = a + 6; u = x + 7; i = r + 11. If v = 18, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 1", "g": "y + 18", "o": "g + 5", "z": "o + 9", "u": "z + 4", "t": "u + 16", "s": "l + 19", "w": "s + 14", "e": "w + 16", "m": "e + 11", "p": "m + 7", "r": "p + 19", "l": 5}, "premises": {"l": 5}, "target": "t"}, "answer": {"steps": [["y", "l + 1", 6], ["g", "y + 18", 24], ["o", "g + 5", 29], ["z", "o + 9", 38], ["u", "z + 4", 42], ["t", "u + 16", 58]], "target_var_name": "t", "target_value": 58, "value_dict": {"l": 5, "y": 6, "g": 24, "o": 29, "z": 38, "u": 42, "t": 58}, "is_reverse": false}} | 368 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = g + 5; e = w + 16; p = m + 7; w = s + 14; r = p + 19; u = z + 4; z = o + 9; l = 5; m = e + 11; g = y + 18; s = l + 19; y = l + 1; t = u + 16. Given that l = 5, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = l + 1, which gives y = 6.\n2. Compute g using g = y + 18, which gives g = 24.\n3. Compute o using o = g + 5, which gives o = 29.\n4. Compute z using z = o + 9, which gives z = 38.\n5. Compute u using u = z + 4, which gives u = 42.\n6. Compute t using t = u + 16, which gives t = 58.\n\nThus, the final answer is t = \\boxed{58}.",
"index": 368,
"question": "Suppose a collection of variables is related by the following definitions: o = g + 5; e = w + 16; p = m + 7; w = s + 14; r = p + 19; u = z + 4; z = o + 9; l = 5; m = e + 11; g = y + 18; s = l + 19; y = l + 1; t = u + 16. Given that l = 5, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 16", "m": "c + 6", "n": "m + 5", "q": "n + 7", "z": "q + 20", "s": "z + 10", "x": "v + 5", "o": "x + 11", "a": "o + 15", "f": "a + 17", "k": "f + 4", "h": "k + 7", "v": 12}, "premises": {"v": 12}, "target": "s"}, "answer": {"steps": [["c", "v + 16", 28], ["m", "c + 6", 34], ["n", "m + 5", 39], ["q", "n + 7", 46], ["z", "q + 20", 66], ["s", "z + 10", 76]], "target_var_name": "s", "target_value": 76, "value_dict": {"v": 12, "c": 28, "m": 34, "n": 39, "q": 46, "z": 66, "s": 76}, "is_reverse": false}} | 369 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = z + 10; k = f + 4; q = n + 7; m = c + 6; o = x + 11; f = a + 17; x = v + 5; h = k + 7; c = v + 16; z = q + 20; v = 12; a = o + 15; n = m + 5. Given that v = 12, find 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. Compute c using c = v + 16, which gives c = 28.\n2. Compute m using m = c + 6, which gives m = 34.\n3. Compute n using n = m + 5, which gives n = 39.\n4. Compute q using q = n + 7, which gives q = 46.\n5. Compute z using z = q + 20, which gives z = 66.\n6. Compute s using s = z + 10, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 369,
"question": "Suppose a collection of variables is related by the following definitions: s = z + 10; k = f + 4; q = n + 7; m = c + 6; o = x + 11; f = a + 17; x = v + 5; h = k + 7; c = v + 16; z = q + 20; v = 12; a = o + 15; n = m + 5. Given that v = 12, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 6", "r": "g + 4", "o": "r + 7", "e": "o + 18", "j": "e + 2", "v": "j + 4", "b": "h + 15", "i": "b + 17", "a": "i + 3", "u": "a + 12", "p": "u + 17", "m": "p + 8", "h": 7}, "premises": {"h": 7}, "target": "v"}, "answer": {"steps": [["g", "h + 6", 13], ["r", "g + 4", 17], ["o", "r + 7", 24], ["e", "o + 18", 42], ["j", "e + 2", 44], ["v", "j + 4", 48]], "target_var_name": "v", "target_value": 48, "value_dict": {"h": 7, "g": 13, "r": 17, "o": 24, "e": 42, "j": 44, "v": 48}, "is_reverse": false}} | 370 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = e + 2; v = j + 4; b = h + 15; i = b + 17; a = i + 3; g = h + 6; u = a + 12; r = g + 4; p = u + 17; e = o + 18; o = r + 7; h = 7; m = p + 8. If h = 7, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = h + 6, which gives g = 13.\n2. Compute r using r = g + 4, which gives r = 17.\n3. Compute o using o = r + 7, which gives o = 24.\n4. Compute e using e = o + 18, which gives e = 42.\n5. Compute j using j = e + 2, which gives j = 44.\n6. Compute v using v = j + 4, which gives v = 48.\n\nThus, the final answer is v = \\boxed{48}.",
"index": 370,
"question": "Consider a system of variables where each variable is defined as follows: j = e + 2; v = j + 4; b = h + 15; i = b + 17; a = i + 3; g = h + 6; u = a + 12; r = g + 4; p = u + 17; e = o + 18; o = r + 7; h = 7; m = p + 8. If h = 7, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 1", "l": "h + 4", "j": "l + 19", "q": "j + 3", "x": "q + 17", "p": "x + 20", "u": "c + 13", "t": "u + 17", "v": "t + 1", "s": "v + 8", "z": "s + 5", "k": "z + 9", "c": 17}, "premises": {"c": 17}, "target": "p"}, "answer": {"steps": [["h", "c + 1", 18], ["l", "h + 4", 22], ["j", "l + 19", 41], ["q", "j + 3", 44], ["x", "q + 17", 61], ["p", "x + 20", 81]], "target_var_name": "p", "target_value": 81, "value_dict": {"c": 17, "h": 18, "l": 22, "j": 41, "q": 44, "x": 61, "p": 81}, "is_reverse": false}} | 371 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = l + 19; l = h + 4; z = s + 5; x = q + 17; v = t + 1; h = c + 1; t = u + 17; c = 17; u = c + 13; s = v + 8; q = j + 3; k = z + 9; p = x + 20. If c = 17, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = c + 1, which gives h = 18.\n2. Compute l using l = h + 4, which gives l = 22.\n3. Compute j using j = l + 19, which gives j = 41.\n4. Compute q using q = j + 3, which gives q = 44.\n5. Compute x using x = q + 17, which gives x = 61.\n6. Compute p using p = x + 20, which gives p = 81.\n\nThus, the final answer is p = \\boxed{81}.",
"index": 371,
"question": "Consider a system of variables where each variable is defined as follows: j = l + 19; l = h + 4; z = s + 5; x = q + 17; v = t + 1; h = c + 1; t = u + 17; c = 17; u = c + 13; s = v + 8; q = j + 3; k = z + 9; p = x + 20. If c = 17, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 2", "a": "p + 2", "q": "a + 17", "c": "q + 4", "e": "c + 19", "n": "e + 10", "m": "u + 5", "k": "m + 17", "b": "k + 11", "d": "b + 12", "r": "d + 15", "z": "r + 6", "u": 4}, "premises": {"u": 4}, "target": "n"}, "answer": {"steps": [["p", "u + 2", 6], ["a", "p + 2", 8], ["q", "a + 17", 25], ["c", "q + 4", 29], ["e", "c + 19", 48], ["n", "e + 10", 58]], "target_var_name": "n", "target_value": 58, "value_dict": {"u": 4, "p": 6, "a": 8, "q": 25, "c": 29, "e": 48, "n": 58}, "is_reverse": false}} | 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: q = a + 17; m = u + 5; a = p + 2; d = b + 12; k = m + 17; c = q + 4; u = 4; e = c + 19; z = r + 6; p = u + 2; n = e + 10; r = d + 15; b = k + 11. If u = 4, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = u + 2, which gives p = 6.\n2. Compute a using a = p + 2, which gives a = 8.\n3. Compute q using q = a + 17, which gives q = 25.\n4. Compute c using c = q + 4, which gives c = 29.\n5. Compute e using e = c + 19, which gives e = 48.\n6. Compute n using n = e + 10, which gives n = 58.\n\nThus, the final answer is n = \\boxed{58}.",
"index": 372,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 17; m = u + 5; a = p + 2; d = b + 12; k = m + 17; c = q + 4; u = 4; e = c + 19; z = r + 6; p = u + 2; n = e + 10; r = d + 15; b = k + 11. If u = 4, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 3", "g": "y + 4", "i": "g + 11", "p": "i + 8", "n": "p + 8", "w": "n + 15", "z": "l + 13", "r": "z + 4", "h": "r + 5", "v": "h + 12", "m": "v + 9", "d": "m + 10", "l": 18}, "premises": {"l": 18}, "target": "w"}, "answer": {"steps": [["y", "l + 3", 21], ["g", "y + 4", 25], ["i", "g + 11", 36], ["p", "i + 8", 44], ["n", "p + 8", 52], ["w", "n + 15", 67]], "target_var_name": "w", "target_value": 67, "value_dict": {"l": 18, "y": 21, "g": 25, "i": 36, "p": 44, "n": 52, "w": 67}, "is_reverse": false}} | 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: w = n + 15; h = r + 5; p = i + 8; v = h + 12; l = 18; d = m + 10; n = p + 8; i = g + 11; z = l + 13; r = z + 4; g = y + 4; m = v + 9; y = l + 3. If l = 18, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = l + 3, which gives y = 21.\n2. Compute g using g = y + 4, which gives g = 25.\n3. Compute i using i = g + 11, which gives i = 36.\n4. Compute p using p = i + 8, which gives p = 44.\n5. Compute n using n = p + 8, which gives n = 52.\n6. Compute w using w = n + 15, which gives w = 67.\n\nThus, the final answer is w = \\boxed{67}.",
"index": 373,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = n + 15; h = r + 5; p = i + 8; v = h + 12; l = 18; d = m + 10; n = p + 8; i = g + 11; z = l + 13; r = z + 4; g = y + 4; m = v + 9; y = l + 3. If l = 18, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 1", "i": "n + 16", "r": "i + 18", "c": "r + 13", "b": "c + 3", "h": "b + 17", "z": "t + 10", "e": "z + 9", "y": "e + 19", "g": "y + 20", "o": "g + 12", "f": "o + 16", "t": 2}, "premises": {"t": 2}, "target": "h"}, "answer": {"steps": [["n", "t + 1", 3], ["i", "n + 16", 19], ["r", "i + 18", 37], ["c", "r + 13", 50], ["b", "c + 3", 53], ["h", "b + 17", 70]], "target_var_name": "h", "target_value": 70, "value_dict": {"t": 2, "n": 3, "i": 19, "r": 37, "c": 50, "b": 53, "h": 70}, "is_reverse": false}} | 374 | 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 + 16; c = r + 13; o = g + 12; e = z + 9; n = t + 1; t = 2; h = b + 17; z = t + 10; y = e + 19; g = y + 20; r = i + 18; i = n + 16; b = c + 3. If t = 2, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = t + 1, which gives n = 3.\n2. Compute i using i = n + 16, which gives i = 19.\n3. Compute r using r = i + 18, which gives r = 37.\n4. Compute c using c = r + 13, which gives c = 50.\n5. Compute b using b = c + 3, which gives b = 53.\n6. Compute h using h = b + 17, which gives h = 70.\n\nThus, the final answer is h = \\boxed{70}.",
"index": 374,
"question": "Consider a system of variables where each variable is defined as follows: f = o + 16; c = r + 13; o = g + 12; e = z + 9; n = t + 1; t = 2; h = b + 17; z = t + 10; y = e + 19; g = y + 20; r = i + 18; i = n + 16; b = c + 3. If t = 2, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 10", "w": "u + 15", "n": "w + 6", "a": "n + 11", "f": "a + 8", "o": "f + 15", "z": "b + 5", "d": "z + 1", "t": "d + 4", "r": "t + 15", "c": "r + 14", "p": "c + 11", "b": 7}, "premises": {"b": 7}, "target": "o"}, "answer": {"steps": [["u", "b + 10", 17], ["w", "u + 15", 32], ["n", "w + 6", 38], ["a", "n + 11", 49], ["f", "a + 8", 57], ["o", "f + 15", 72]], "target_var_name": "o", "target_value": 72, "value_dict": {"b": 7, "u": 17, "w": 32, "n": 38, "a": 49, "f": 57, "o": 72}, "is_reverse": false}} | 375 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = w + 6; p = c + 11; f = a + 8; b = 7; t = d + 4; o = f + 15; u = b + 10; d = z + 1; w = u + 15; a = n + 11; z = b + 5; c = r + 14; r = t + 15. Given that b = 7, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = b + 10, which gives u = 17.\n2. Compute w using w = u + 15, which gives w = 32.\n3. Compute n using n = w + 6, which gives n = 38.\n4. Compute a using a = n + 11, which gives a = 49.\n5. Compute f using f = a + 8, which gives f = 57.\n6. Compute o using o = f + 15, which gives o = 72.\n\nThus, the final answer is o = \\boxed{72}.",
"index": 375,
"question": "Suppose a collection of variables is related by the following definitions: n = w + 6; p = c + 11; f = a + 8; b = 7; t = d + 4; o = f + 15; u = b + 10; d = z + 1; w = u + 15; a = n + 11; z = b + 5; c = r + 14; r = t + 15. Given that b = 7, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 16", "p": "m + 7", "b": "p + 2", "a": "b + 5", "i": "a + 15", "c": "i + 2", "e": "u + 7", "y": "e + 7", "x": "y + 9", "r": "x + 19", "k": "r + 19", "o": "k + 1", "u": 15}, "premises": {"u": 15}, "target": "c"}, "answer": {"steps": [["m", "u + 16", 31], ["p", "m + 7", 38], ["b", "p + 2", 40], ["a", "b + 5", 45], ["i", "a + 15", 60], ["c", "i + 2", 62]], "target_var_name": "c", "target_value": 62, "value_dict": {"u": 15, "m": 31, "p": 38, "b": 40, "a": 45, "i": 60, "c": 62}, "is_reverse": false}} | 376 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = p + 2; e = u + 7; p = m + 7; x = y + 9; i = a + 15; o = k + 1; y = e + 7; k = r + 19; r = x + 19; u = 15; m = u + 16; c = i + 2; a = b + 5. Given that u = 15, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = u + 16, which gives m = 31.\n2. Compute p using p = m + 7, which gives p = 38.\n3. Compute b using b = p + 2, which gives b = 40.\n4. Compute a using a = b + 5, which gives a = 45.\n5. Compute i using i = a + 15, which gives i = 60.\n6. Compute c using c = i + 2, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 376,
"question": "Suppose a collection of variables is related by the following definitions: b = p + 2; e = u + 7; p = m + 7; x = y + 9; i = a + 15; o = k + 1; y = e + 7; k = r + 19; r = x + 19; u = 15; m = u + 16; c = i + 2; a = b + 5. Given that u = 15, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 6", "j": "n + 8", "a": "j + 10", "y": "a + 15", "r": "y + 13", "m": "r + 12", "p": "e + 6", "l": "p + 1", "o": "l + 11", "c": "o + 5", "h": "c + 15", "f": "h + 2", "e": 9}, "premises": {"e": 9}, "target": "m"}, "answer": {"steps": [["n", "e + 6", 15], ["j", "n + 8", 23], ["a", "j + 10", 33], ["y", "a + 15", 48], ["r", "y + 13", 61], ["m", "r + 12", 73]], "target_var_name": "m", "target_value": 73, "value_dict": {"e": 9, "n": 15, "j": 23, "a": 33, "y": 48, "r": 61, "m": 73}, "is_reverse": false}} | 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: n = e + 6; o = l + 11; f = h + 2; c = o + 5; y = a + 15; p = e + 6; m = r + 12; r = y + 13; h = c + 15; e = 9; l = p + 1; a = j + 10; j = n + 8. If e = 9, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = e + 6, which gives n = 15.\n2. Compute j using j = n + 8, which gives j = 23.\n3. Compute a using a = j + 10, which gives a = 33.\n4. Compute y using y = a + 15, which gives y = 48.\n5. Compute r using r = y + 13, which gives r = 61.\n6. Compute m using m = r + 12, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 377,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = e + 6; o = l + 11; f = h + 2; c = o + 5; y = a + 15; p = e + 6; m = r + 12; r = y + 13; h = c + 15; e = 9; l = p + 1; a = j + 10; j = n + 8. If e = 9, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 6", "q": "x + 8", "d": "q + 1", "f": "d + 6", "h": "f + 17", "a": "h + 19", "t": "p + 20", "w": "t + 15", "v": "w + 4", "i": "v + 2", "z": "i + 18", "l": "z + 15", "p": 13}, "premises": {"p": 13}, "target": "a"}, "answer": {"steps": [["x", "p + 6", 19], ["q", "x + 8", 27], ["d", "q + 1", 28], ["f", "d + 6", 34], ["h", "f + 17", 51], ["a", "h + 19", 70]], "target_var_name": "a", "target_value": 70, "value_dict": {"p": 13, "x": 19, "q": 27, "d": 28, "f": 34, "h": 51, "a": 70}, "is_reverse": false}} | 378 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = z + 15; a = h + 19; t = p + 20; w = t + 15; d = q + 1; v = w + 4; x = p + 6; h = f + 17; p = 13; i = v + 2; f = d + 6; z = i + 18; q = x + 8. Given that p = 13, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = p + 6, which gives x = 19.\n2. Compute q using q = x + 8, which gives q = 27.\n3. Compute d using d = q + 1, which gives d = 28.\n4. Compute f using f = d + 6, which gives f = 34.\n5. Compute h using h = f + 17, which gives h = 51.\n6. Compute a using a = h + 19, which gives a = 70.\n\nThus, the final answer is a = \\boxed{70}.",
"index": 378,
"question": "Suppose a collection of variables is related by the following definitions: l = z + 15; a = h + 19; t = p + 20; w = t + 15; d = q + 1; v = w + 4; x = p + 6; h = f + 17; p = 13; i = v + 2; f = d + 6; z = i + 18; q = x + 8. Given that p = 13, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 1", "j": "c + 14", "w": "j + 12", "p": "w + 16", "d": "p + 11", "h": "d + 8", "x": "m + 4", "y": "x + 12", "e": "y + 7", "f": "e + 7", "o": "f + 8", "l": "o + 7", "m": 16}, "premises": {"m": 16}, "target": "h"}, "answer": {"steps": [["c", "m + 1", 17], ["j", "c + 14", 31], ["w", "j + 12", 43], ["p", "w + 16", 59], ["d", "p + 11", 70], ["h", "d + 8", 78]], "target_var_name": "h", "target_value": 78, "value_dict": {"m": 16, "c": 17, "j": 31, "w": 43, "p": 59, "d": 70, "h": 78}, "is_reverse": false}} | 379 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = o + 7; j = c + 14; h = d + 8; o = f + 8; y = x + 12; d = p + 11; p = w + 16; m = 16; f = e + 7; w = j + 12; c = m + 1; e = y + 7; x = m + 4. Given that m = 16, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = m + 1, which gives c = 17.\n2. Compute j using j = c + 14, which gives j = 31.\n3. Compute w using w = j + 12, which gives w = 43.\n4. Compute p using p = w + 16, which gives p = 59.\n5. Compute d using d = p + 11, which gives d = 70.\n6. Compute h using h = d + 8, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 379,
"question": "Suppose a collection of variables is related by the following definitions: l = o + 7; j = c + 14; h = d + 8; o = f + 8; y = x + 12; d = p + 11; p = w + 16; m = 16; f = e + 7; w = j + 12; c = m + 1; e = y + 7; x = m + 4. Given that m = 16, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 14", "x": "p + 12", "e": "x + 16", "v": "e + 12", "n": "v + 1", "i": "n + 4", "k": "s + 4", "r": "k + 13", "t": "r + 18", "l": "t + 13", "b": "l + 9", "q": "b + 20", "s": 8}, "premises": {"s": 8}, "target": "i"}, "answer": {"steps": [["p", "s + 14", 22], ["x", "p + 12", 34], ["e", "x + 16", 50], ["v", "e + 12", 62], ["n", "v + 1", 63], ["i", "n + 4", 67]], "target_var_name": "i", "target_value": 67, "value_dict": {"s": 8, "p": 22, "x": 34, "e": 50, "v": 62, "n": 63, "i": 67}, "is_reverse": false}} | 380 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 12; q = b + 20; p = s + 14; t = r + 18; s = 8; r = k + 13; n = v + 1; k = s + 4; i = n + 4; l = t + 13; b = l + 9; v = e + 12; e = x + 16. If s = 8, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = s + 14, which gives p = 22.\n2. Compute x using x = p + 12, which gives x = 34.\n3. Compute e using e = x + 16, which gives e = 50.\n4. Compute v using v = e + 12, which gives v = 62.\n5. Compute n using n = v + 1, which gives n = 63.\n6. Compute i using i = n + 4, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 380,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 12; q = b + 20; p = s + 14; t = r + 18; s = 8; r = k + 13; n = v + 1; k = s + 4; i = n + 4; l = t + 13; b = l + 9; v = e + 12; e = x + 16. If s = 8, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 19", "m": "v + 9", "z": "m + 10", "j": "z + 2", "w": "j + 13", "o": "w + 5", "h": "e + 1", "q": "h + 3", "p": "q + 16", "t": "p + 4", "k": "t + 7", "n": "k + 14", "e": 19}, "premises": {"e": 19}, "target": "o"}, "answer": {"steps": [["v", "e + 19", 38], ["m", "v + 9", 47], ["z", "m + 10", 57], ["j", "z + 2", 59], ["w", "j + 13", 72], ["o", "w + 5", 77]], "target_var_name": "o", "target_value": 77, "value_dict": {"e": 19, "v": 38, "m": 47, "z": 57, "j": 59, "w": 72, "o": 77}, "is_reverse": false}} | 381 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = k + 14; z = m + 10; t = p + 4; m = v + 9; e = 19; o = w + 5; q = h + 3; p = q + 16; j = z + 2; v = e + 19; h = e + 1; w = j + 13; k = t + 7. If e = 19, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = e + 19, which gives v = 38.\n2. Compute m using m = v + 9, which gives m = 47.\n3. Compute z using z = m + 10, which gives z = 57.\n4. Compute j using j = z + 2, which gives j = 59.\n5. Compute w using w = j + 13, which gives w = 72.\n6. Compute o using o = w + 5, which gives o = 77.\n\nThus, the final answer is o = \\boxed{77}.",
"index": 381,
"question": "Consider a system of variables where each variable is defined as follows: n = k + 14; z = m + 10; t = p + 4; m = v + 9; e = 19; o = w + 5; q = h + 3; p = q + 16; j = z + 2; v = e + 19; h = e + 1; w = j + 13; k = t + 7. If e = 19, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 3", "b": "d + 8", "i": "b + 7", "t": "i + 10", "y": "t + 15", "g": "y + 7", "c": "o + 4", "n": "c + 20", "p": "n + 7", "h": "p + 7", "k": "h + 16", "q": "k + 4", "o": 12}, "premises": {"o": 12}, "target": "g"}, "answer": {"steps": [["d", "o + 3", 15], ["b", "d + 8", 23], ["i", "b + 7", 30], ["t", "i + 10", 40], ["y", "t + 15", 55], ["g", "y + 7", 62]], "target_var_name": "g", "target_value": 62, "value_dict": {"o": 12, "d": 15, "b": 23, "i": 30, "t": 40, "y": 55, "g": 62}, "is_reverse": false}} | 382 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = h + 16; t = i + 10; b = d + 8; d = o + 3; i = b + 7; n = c + 20; y = t + 15; o = 12; g = y + 7; c = o + 4; q = k + 4; h = p + 7; p = n + 7. If o = 12, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = o + 3, which gives d = 15.\n2. Compute b using b = d + 8, which gives b = 23.\n3. Compute i using i = b + 7, which gives i = 30.\n4. Compute t using t = i + 10, which gives t = 40.\n5. Compute y using y = t + 15, which gives y = 55.\n6. Compute g using g = y + 7, which gives g = 62.\n\nThus, the final answer is g = \\boxed{62}.",
"index": 382,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = h + 16; t = i + 10; b = d + 8; d = o + 3; i = b + 7; n = c + 20; y = t + 15; o = 12; g = y + 7; c = o + 4; q = k + 4; h = p + 7; p = n + 7. If o = 12, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"a": "d + 9", "k": "a + 15", "x": "k + 19", "b": "x + 18", "t": "b + 7", "v": "t + 3", "h": "d + 9", "m": "h + 17", "i": "m + 7", "u": "i + 20", "w": "u + 18", "y": "w + 2", "d": 11}, "premises": {"d": 11}, "target": "v"}, "answer": {"steps": [["a", "d + 9", 20], ["k", "a + 15", 35], ["x", "k + 19", 54], ["b", "x + 18", 72], ["t", "b + 7", 79], ["v", "t + 3", 82]], "target_var_name": "v", "target_value": 82, "value_dict": {"d": 11, "a": 20, "k": 35, "x": 54, "b": 72, "t": 79, "v": 82}, "is_reverse": false}} | 383 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = x + 18; u = i + 20; y = w + 2; d = 11; a = d + 9; v = t + 3; x = k + 19; h = d + 9; t = b + 7; m = h + 17; w = u + 18; k = a + 15; i = m + 7. Given that d = 11, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = d + 9, which gives a = 20.\n2. Compute k using k = a + 15, which gives k = 35.\n3. Compute x using x = k + 19, which gives x = 54.\n4. Compute b using b = x + 18, which gives b = 72.\n5. Compute t using t = b + 7, which gives t = 79.\n6. Compute v using v = t + 3, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 383,
"question": "Suppose a collection of variables is related by the following definitions: b = x + 18; u = i + 20; y = w + 2; d = 11; a = d + 9; v = t + 3; x = k + 19; h = d + 9; t = b + 7; m = h + 17; w = u + 18; k = a + 15; i = m + 7. Given that d = 11, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 16", "w": "e + 7", "t": "w + 1", "q": "t + 2", "v": "q + 14", "m": "v + 10", "j": "l + 14", "i": "j + 9", "p": "i + 9", "s": "p + 10", "u": "s + 4", "b": "u + 7", "l": 3}, "premises": {"l": 3}, "target": "m"}, "answer": {"steps": [["e", "l + 16", 19], ["w", "e + 7", 26], ["t", "w + 1", 27], ["q", "t + 2", 29], ["v", "q + 14", 43], ["m", "v + 10", 53]], "target_var_name": "m", "target_value": 53, "value_dict": {"l": 3, "e": 19, "w": 26, "t": 27, "q": 29, "v": 43, "m": 53}, "is_reverse": false}} | 384 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = l + 14; u = s + 4; q = t + 2; t = w + 1; s = p + 10; e = l + 16; p = i + 9; w = e + 7; m = v + 10; i = j + 9; v = q + 14; b = u + 7; l = 3. If l = 3, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = l + 16, which gives e = 19.\n2. Compute w using w = e + 7, which gives w = 26.\n3. Compute t using t = w + 1, which gives t = 27.\n4. Compute q using q = t + 2, which gives q = 29.\n5. Compute v using v = q + 14, which gives v = 43.\n6. Compute m using m = v + 10, which gives m = 53.\n\nThus, the final answer is m = \\boxed{53}.",
"index": 384,
"question": "Consider a system of variables where each variable is defined as follows: j = l + 14; u = s + 4; q = t + 2; t = w + 1; s = p + 10; e = l + 16; p = i + 9; w = e + 7; m = v + 10; i = j + 9; v = q + 14; b = u + 7; l = 3. If l = 3, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 18", "i": "c + 2", "v": "i + 15", "x": "v + 9", "p": "x + 10", "k": "p + 18", "w": "b + 17", "l": "w + 19", "j": "l + 7", "m": "j + 13", "n": "m + 20", "a": "n + 19", "b": 17}, "premises": {"b": 17}, "target": "k"}, "answer": {"steps": [["c", "b + 18", 35], ["i", "c + 2", 37], ["v", "i + 15", 52], ["x", "v + 9", 61], ["p", "x + 10", 71], ["k", "p + 18", 89]], "target_var_name": "k", "target_value": 89, "value_dict": {"b": 17, "c": 35, "i": 37, "v": 52, "x": 61, "p": 71, "k": 89}, "is_reverse": false}} | 385 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = v + 9; b = 17; a = n + 19; v = i + 15; j = l + 7; p = x + 10; k = p + 18; l = w + 19; m = j + 13; n = m + 20; i = c + 2; w = b + 17; c = b + 18. If b = 17, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = b + 18, which gives c = 35.\n2. Compute i using i = c + 2, which gives i = 37.\n3. Compute v using v = i + 15, which gives v = 52.\n4. Compute x using x = v + 9, which gives x = 61.\n5. Compute p using p = x + 10, which gives p = 71.\n6. Compute k using k = p + 18, which gives k = 89.\n\nThus, the final answer is k = \\boxed{89}.",
"index": 385,
"question": "Consider a system of variables where each variable is defined as follows: x = v + 9; b = 17; a = n + 19; v = i + 15; j = l + 7; p = x + 10; k = p + 18; l = w + 19; m = j + 13; n = m + 20; i = c + 2; w = b + 17; c = b + 18. If b = 17, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 17", "b": "z + 9", "a": "b + 14", "h": "a + 13", "o": "h + 14", "l": "o + 7", "v": "s + 14", "x": "v + 1", "q": "x + 18", "w": "q + 15", "i": "w + 8", "m": "i + 15", "s": 13}, "premises": {"s": 13}, "target": "l"}, "answer": {"steps": [["z", "s + 17", 30], ["b", "z + 9", 39], ["a", "b + 14", 53], ["h", "a + 13", 66], ["o", "h + 14", 80], ["l", "o + 7", 87]], "target_var_name": "l", "target_value": 87, "value_dict": {"s": 13, "z": 30, "b": 39, "a": 53, "h": 66, "o": 80, "l": 87}, "is_reverse": false}} | 386 | 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 = z + 9; m = i + 15; w = q + 15; s = 13; h = a + 13; z = s + 17; l = o + 7; v = s + 14; o = h + 14; i = w + 8; a = b + 14; q = x + 18; x = v + 1. If s = 13, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = s + 17, which gives z = 30.\n2. Compute b using b = z + 9, which gives b = 39.\n3. Compute a using a = b + 14, which gives a = 53.\n4. Compute h using h = a + 13, which gives h = 66.\n5. Compute o using o = h + 14, which gives o = 80.\n6. Compute l using l = o + 7, which gives l = 87.\n\nThus, the final answer is l = \\boxed{87}.",
"index": 386,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = z + 9; m = i + 15; w = q + 15; s = 13; h = a + 13; z = s + 17; l = o + 7; v = s + 14; o = h + 14; i = w + 8; a = b + 14; q = x + 18; x = v + 1. If s = 13, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 2", "g": "j + 15", "h": "g + 18", "c": "h + 12", "i": "c + 20", "b": "i + 5", "z": "f + 12", "r": "z + 20", "a": "r + 19", "n": "a + 3", "x": "n + 4", "e": "x + 6", "f": 5}, "premises": {"f": 5}, "target": "b"}, "answer": {"steps": [["j", "f + 2", 7], ["g", "j + 15", 22], ["h", "g + 18", 40], ["c", "h + 12", 52], ["i", "c + 20", 72], ["b", "i + 5", 77]], "target_var_name": "b", "target_value": 77, "value_dict": {"f": 5, "j": 7, "g": 22, "h": 40, "c": 52, "i": 72, "b": 77}, "is_reverse": false}} | 387 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = n + 4; n = a + 3; b = i + 5; f = 5; i = c + 20; h = g + 18; c = h + 12; a = r + 19; g = j + 15; r = z + 20; e = x + 6; z = f + 12; j = f + 2. Given that f = 5, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = f + 2, which gives j = 7.\n2. Compute g using g = j + 15, which gives g = 22.\n3. Compute h using h = g + 18, which gives h = 40.\n4. Compute c using c = h + 12, which gives c = 52.\n5. Compute i using i = c + 20, which gives i = 72.\n6. Compute b using b = i + 5, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 387,
"question": "Suppose a collection of variables is related by the following definitions: x = n + 4; n = a + 3; b = i + 5; f = 5; i = c + 20; h = g + 18; c = h + 12; a = r + 19; g = j + 15; r = z + 20; e = x + 6; z = f + 12; j = f + 2. Given that f = 5, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "r + 8", "f": "t + 17", "j": "f + 16", "k": "j + 18", "w": "k + 3", "h": "w + 10", "c": "r + 11", "g": "c + 13", "p": "g + 2", "m": "p + 1", "z": "m + 6", "x": "z + 7", "r": 3}, "premises": {"r": 3}, "target": "h"}, "answer": {"steps": [["t", "r + 8", 11], ["f", "t + 17", 28], ["j", "f + 16", 44], ["k", "j + 18", 62], ["w", "k + 3", 65], ["h", "w + 10", 75]], "target_var_name": "h", "target_value": 75, "value_dict": {"r": 3, "t": 11, "f": 28, "j": 44, "k": 62, "w": 65, "h": 75}, "is_reverse": false}} | 388 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 8; x = z + 7; z = m + 6; g = c + 13; c = r + 11; j = f + 16; f = t + 17; h = w + 10; w = k + 3; r = 3; k = j + 18; p = g + 2; m = p + 1. If r = 3, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = r + 8, which gives t = 11.\n2. Compute f using f = t + 17, which gives f = 28.\n3. Compute j using j = f + 16, which gives j = 44.\n4. Compute k using k = j + 18, which gives k = 62.\n5. Compute w using w = k + 3, which gives w = 65.\n6. Compute h using h = w + 10, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 388,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 8; x = z + 7; z = m + 6; g = c + 13; c = r + 11; j = f + 16; f = t + 17; h = w + 10; w = k + 3; r = 3; k = j + 18; p = g + 2; m = p + 1. If r = 3, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 7", "j": "g + 5", "b": "j + 19", "f": "b + 19", "h": "f + 12", "e": "h + 16", "i": "l + 11", "p": "i + 18", "a": "p + 10", "w": "a + 15", "n": "w + 17", "o": "n + 15", "l": 5}, "premises": {"l": 5}, "target": "e"}, "answer": {"steps": [["g", "l + 7", 12], ["j", "g + 5", 17], ["b", "j + 19", 36], ["f", "b + 19", 55], ["h", "f + 12", 67], ["e", "h + 16", 83]], "target_var_name": "e", "target_value": 83, "value_dict": {"l": 5, "g": 12, "j": 17, "b": 36, "f": 55, "h": 67, "e": 83}, "is_reverse": false}} | 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: w = a + 15; a = p + 10; b = j + 19; n = w + 17; i = l + 11; j = g + 5; l = 5; p = i + 18; e = h + 16; o = n + 15; g = l + 7; f = b + 19; h = f + 12. If l = 5, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = l + 7, which gives g = 12.\n2. Compute j using j = g + 5, which gives j = 17.\n3. Compute b using b = j + 19, which gives b = 36.\n4. Compute f using f = b + 19, which gives f = 55.\n5. Compute h using h = f + 12, which gives h = 67.\n6. Compute e using e = h + 16, which gives e = 83.\n\nThus, the final answer is e = \\boxed{83}.",
"index": 389,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = a + 15; a = p + 10; b = j + 19; n = w + 17; i = l + 11; j = g + 5; l = 5; p = i + 18; e = h + 16; o = n + 15; g = l + 7; f = b + 19; h = f + 12. If l = 5, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 7", "k": "c + 15", "w": "k + 4", "x": "w + 12", "g": "x + 19", "f": "g + 12", "t": "p + 8", "d": "t + 16", "u": "d + 19", "q": "u + 2", "i": "q + 13", "r": "i + 7", "p": 1}, "premises": {"p": 1}, "target": "f"}, "answer": {"steps": [["c", "p + 7", 8], ["k", "c + 15", 23], ["w", "k + 4", 27], ["x", "w + 12", 39], ["g", "x + 19", 58], ["f", "g + 12", 70]], "target_var_name": "f", "target_value": 70, "value_dict": {"p": 1, "c": 8, "k": 23, "w": 27, "x": 39, "g": 58, "f": 70}, "is_reverse": false}} | 390 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = i + 7; p = 1; t = p + 8; x = w + 12; k = c + 15; f = g + 12; u = d + 19; w = k + 4; g = x + 19; c = p + 7; i = q + 13; q = u + 2; d = t + 16. If p = 1, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = p + 7, which gives c = 8.\n2. Compute k using k = c + 15, which gives k = 23.\n3. Compute w using w = k + 4, which gives w = 27.\n4. Compute x using x = w + 12, which gives x = 39.\n5. Compute g using g = x + 19, which gives g = 58.\n6. Compute f using f = g + 12, which gives f = 70.\n\nThus, the final answer is f = \\boxed{70}.",
"index": 390,
"question": "Consider a system of variables where each variable is defined as follows: r = i + 7; p = 1; t = p + 8; x = w + 12; k = c + 15; f = g + 12; u = d + 19; w = k + 4; g = x + 19; c = p + 7; i = q + 13; q = u + 2; d = t + 16. If p = 1, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 7", "x": "h + 15", "j": "x + 15", "z": "j + 20", "g": "z + 6", "m": "g + 12", "r": "q + 4", "n": "r + 17", "c": "n + 1", "d": "c + 9", "w": "d + 1", "s": "w + 1", "q": 13}, "premises": {"q": 13}, "target": "m"}, "answer": {"steps": [["h", "q + 7", 20], ["x", "h + 15", 35], ["j", "x + 15", 50], ["z", "j + 20", 70], ["g", "z + 6", 76], ["m", "g + 12", 88]], "target_var_name": "m", "target_value": 88, "value_dict": {"q": 13, "h": 20, "x": 35, "j": 50, "z": 70, "g": 76, "m": 88}, "is_reverse": false}} | 391 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = r + 17; g = z + 6; c = n + 1; h = q + 7; j = x + 15; s = w + 1; q = 13; z = j + 20; w = d + 1; r = q + 4; x = h + 15; m = g + 12; d = c + 9. If q = 13, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = q + 7, which gives h = 20.\n2. Compute x using x = h + 15, which gives x = 35.\n3. Compute j using j = x + 15, which gives j = 50.\n4. Compute z using z = j + 20, which gives z = 70.\n5. Compute g using g = z + 6, which gives g = 76.\n6. Compute m using m = g + 12, which gives m = 88.\n\nThus, the final answer is m = \\boxed{88}.",
"index": 391,
"question": "Consider a system of variables where each variable is defined as follows: n = r + 17; g = z + 6; c = n + 1; h = q + 7; j = x + 15; s = w + 1; q = 13; z = j + 20; w = d + 1; r = q + 4; x = h + 15; m = g + 12; d = c + 9. If q = 13, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 14", "f": "m + 17", "e": "f + 18", "c": "e + 7", "u": "c + 14", "z": "u + 2", "h": "n + 8", "o": "h + 14", "d": "o + 16", "a": "d + 4", "j": "a + 12", "x": "j + 17", "n": 10}, "premises": {"n": 10}, "target": "z"}, "answer": {"steps": [["m", "n + 14", 24], ["f", "m + 17", 41], ["e", "f + 18", 59], ["c", "e + 7", 66], ["u", "c + 14", 80], ["z", "u + 2", 82]], "target_var_name": "z", "target_value": 82, "value_dict": {"n": 10, "m": 24, "f": 41, "e": 59, "c": 66, "u": 80, "z": 82}, "is_reverse": false}} | 392 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = u + 2; a = d + 4; f = m + 17; c = e + 7; x = j + 17; e = f + 18; m = n + 14; o = h + 14; h = n + 8; j = a + 12; n = 10; u = c + 14; d = o + 16. Given that n = 10, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = n + 14, which gives m = 24.\n2. Compute f using f = m + 17, which gives f = 41.\n3. Compute e using e = f + 18, which gives e = 59.\n4. Compute c using c = e + 7, which gives c = 66.\n5. Compute u using u = c + 14, which gives u = 80.\n6. Compute z using z = u + 2, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 392,
"question": "Suppose a collection of variables is related by the following definitions: z = u + 2; a = d + 4; f = m + 17; c = e + 7; x = j + 17; e = f + 18; m = n + 14; o = h + 14; h = n + 8; j = a + 12; n = 10; u = c + 14; d = o + 16. Given that n = 10, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 19", "p": "h + 19", "a": "p + 12", "f": "a + 4", "i": "f + 11", "y": "i + 3", "n": "g + 3", "o": "n + 6", "l": "o + 11", "v": "l + 13", "u": "v + 16", "b": "u + 9", "g": 7}, "premises": {"g": 7}, "target": "y"}, "answer": {"steps": [["h", "g + 19", 26], ["p", "h + 19", 45], ["a", "p + 12", 57], ["f", "a + 4", 61], ["i", "f + 11", 72], ["y", "i + 3", 75]], "target_var_name": "y", "target_value": 75, "value_dict": {"g": 7, "h": 26, "p": 45, "a": 57, "f": 61, "i": 72, "y": 75}, "is_reverse": false}} | 393 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = n + 6; l = o + 11; n = g + 3; h = g + 19; v = l + 13; g = 7; i = f + 11; p = h + 19; y = i + 3; b = u + 9; u = v + 16; a = p + 12; f = a + 4. Given that g = 7, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = g + 19, which gives h = 26.\n2. Compute p using p = h + 19, which gives p = 45.\n3. Compute a using a = p + 12, which gives a = 57.\n4. Compute f using f = a + 4, which gives f = 61.\n5. Compute i using i = f + 11, which gives i = 72.\n6. Compute y using y = i + 3, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 393,
"question": "Suppose a collection of variables is related by the following definitions: o = n + 6; l = o + 11; n = g + 3; h = g + 19; v = l + 13; g = 7; i = f + 11; p = h + 19; y = i + 3; b = u + 9; u = v + 16; a = p + 12; f = a + 4. Given that g = 7, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 15", "j": "w + 3", "p": "j + 12", "n": "p + 15", "e": "n + 8", "f": "e + 10", "u": "l + 14", "o": "u + 17", "g": "o + 19", "x": "g + 2", "d": "x + 7", "z": "d + 6", "l": 2}, "premises": {"l": 2}, "target": "f"}, "answer": {"steps": [["w", "l + 15", 17], ["j", "w + 3", 20], ["p", "j + 12", 32], ["n", "p + 15", 47], ["e", "n + 8", 55], ["f", "e + 10", 65]], "target_var_name": "f", "target_value": 65, "value_dict": {"l": 2, "w": 17, "j": 20, "p": 32, "n": 47, "e": 55, "f": 65}, "is_reverse": false}} | 394 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = d + 6; w = l + 15; d = x + 7; j = w + 3; l = 2; u = l + 14; g = o + 19; e = n + 8; x = g + 2; f = e + 10; p = j + 12; n = p + 15; o = u + 17. If l = 2, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = l + 15, which gives w = 17.\n2. Compute j using j = w + 3, which gives j = 20.\n3. Compute p using p = j + 12, which gives p = 32.\n4. Compute n using n = p + 15, which gives n = 47.\n5. Compute e using e = n + 8, which gives e = 55.\n6. Compute f using f = e + 10, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 394,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = d + 6; w = l + 15; d = x + 7; j = w + 3; l = 2; u = l + 14; g = o + 19; e = n + 8; x = g + 2; f = e + 10; p = j + 12; n = p + 15; o = u + 17. If l = 2, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 15", "q": "t + 20", "h": "q + 1", "v": "h + 9", "y": "v + 17", "i": "y + 9", "g": "m + 16", "p": "g + 2", "r": "p + 1", "c": "r + 17", "k": "c + 6", "l": "k + 13", "m": 2}, "premises": {"m": 2}, "target": "i"}, "answer": {"steps": [["t", "m + 15", 17], ["q", "t + 20", 37], ["h", "q + 1", 38], ["v", "h + 9", 47], ["y", "v + 17", 64], ["i", "y + 9", 73]], "target_var_name": "i", "target_value": 73, "value_dict": {"m": 2, "t": 17, "q": 37, "h": 38, "v": 47, "y": 64, "i": 73}, "is_reverse": false}} | 395 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = k + 13; t = m + 15; y = v + 17; k = c + 6; q = t + 20; r = p + 1; i = y + 9; v = h + 9; h = q + 1; c = r + 17; m = 2; g = m + 16; p = g + 2. If m = 2, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = m + 15, which gives t = 17.\n2. Compute q using q = t + 20, which gives q = 37.\n3. Compute h using h = q + 1, which gives h = 38.\n4. Compute v using v = h + 9, which gives v = 47.\n5. Compute y using y = v + 17, which gives y = 64.\n6. Compute i using i = y + 9, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 395,
"question": "Consider a system of variables where each variable is defined as follows: l = k + 13; t = m + 15; y = v + 17; k = c + 6; q = t + 20; r = p + 1; i = y + 9; v = h + 9; h = q + 1; c = r + 17; m = 2; g = m + 16; p = g + 2. If m = 2, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 20", "y": "o + 13", "z": "y + 6", "a": "z + 13", "j": "a + 19", "c": "j + 10", "f": "i + 16", "g": "f + 18", "r": "g + 17", "b": "r + 1", "p": "b + 5", "d": "p + 4", "i": 17}, "premises": {"i": 17}, "target": "c"}, "answer": {"steps": [["o", "i + 20", 37], ["y", "o + 13", 50], ["z", "y + 6", 56], ["a", "z + 13", 69], ["j", "a + 19", 88], ["c", "j + 10", 98]], "target_var_name": "c", "target_value": 98, "value_dict": {"i": 17, "o": 37, "y": 50, "z": 56, "a": 69, "j": 88, "c": 98}, "is_reverse": false}} | 396 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = a + 19; o = i + 20; d = p + 4; p = b + 5; y = o + 13; g = f + 18; b = r + 1; r = g + 17; a = z + 13; c = j + 10; z = y + 6; i = 17; f = i + 16. Given that i = 17, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = i + 20, which gives o = 37.\n2. Compute y using y = o + 13, which gives y = 50.\n3. Compute z using z = y + 6, which gives z = 56.\n4. Compute a using a = z + 13, which gives a = 69.\n5. Compute j using j = a + 19, which gives j = 88.\n6. Compute c using c = j + 10, which gives c = 98.\n\nThus, the final answer is c = \\boxed{98}.",
"index": 396,
"question": "Suppose a collection of variables is related by the following definitions: j = a + 19; o = i + 20; d = p + 4; p = b + 5; y = o + 13; g = f + 18; b = r + 1; r = g + 17; a = z + 13; c = j + 10; z = y + 6; i = 17; f = i + 16. Given that i = 17, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"t": "s + 15", "w": "t + 6", "a": "w + 12", "b": "a + 1", "u": "b + 16", "l": "u + 5", "v": "s + 7", "f": "v + 9", "k": "f + 17", "m": "k + 9", "q": "m + 19", "h": "q + 8", "s": 10}, "premises": {"s": 10}, "target": "l"}, "answer": {"steps": [["t", "s + 15", 25], ["w", "t + 6", 31], ["a", "w + 12", 43], ["b", "a + 1", 44], ["u", "b + 16", 60], ["l", "u + 5", 65]], "target_var_name": "l", "target_value": 65, "value_dict": {"s": 10, "t": 25, "w": 31, "a": 43, "b": 44, "u": 60, "l": 65}, "is_reverse": false}} | 397 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = b + 16; m = k + 9; f = v + 9; k = f + 17; h = q + 8; l = u + 5; b = a + 1; a = w + 12; v = s + 7; s = 10; q = m + 19; w = t + 6; t = s + 15. If s = 10, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = s + 15, which gives t = 25.\n2. Compute w using w = t + 6, which gives w = 31.\n3. Compute a using a = w + 12, which gives a = 43.\n4. Compute b using b = a + 1, which gives b = 44.\n5. Compute u using u = b + 16, which gives u = 60.\n6. Compute l using l = u + 5, which gives l = 65.\n\nThus, the final answer is l = \\boxed{65}.",
"index": 397,
"question": "Consider a system of variables where each variable is defined as follows: u = b + 16; m = k + 9; f = v + 9; k = f + 17; h = q + 8; l = u + 5; b = a + 1; a = w + 12; v = s + 7; s = 10; q = m + 19; w = t + 6; t = s + 15. If s = 10, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 2", "p": "j + 18", "u": "p + 6", "q": "u + 5", "m": "q + 17", "e": "m + 7", "g": "l + 16", "x": "g + 3", "w": "x + 12", "i": "w + 9", "s": "i + 9", "z": "s + 13", "l": 1}, "premises": {"l": 1}, "target": "e"}, "answer": {"steps": [["j", "l + 2", 3], ["p", "j + 18", 21], ["u", "p + 6", 27], ["q", "u + 5", 32], ["m", "q + 17", 49], ["e", "m + 7", 56]], "target_var_name": "e", "target_value": 56, "value_dict": {"l": 1, "j": 3, "p": 21, "u": 27, "q": 32, "m": 49, "e": 56}, "is_reverse": false}} | 398 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = m + 7; x = g + 3; s = i + 9; m = q + 17; g = l + 16; z = s + 13; l = 1; w = x + 12; p = j + 18; u = p + 6; i = w + 9; q = u + 5; j = l + 2. If l = 1, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = l + 2, which gives j = 3.\n2. Compute p using p = j + 18, which gives p = 21.\n3. Compute u using u = p + 6, which gives u = 27.\n4. Compute q using q = u + 5, which gives q = 32.\n5. Compute m using m = q + 17, which gives m = 49.\n6. Compute e using e = m + 7, which gives e = 56.\n\nThus, the final answer is e = \\boxed{56}.",
"index": 398,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = m + 7; x = g + 3; s = i + 9; m = q + 17; g = l + 16; z = s + 13; l = 1; w = x + 12; p = j + 18; u = p + 6; i = w + 9; q = u + 5; j = l + 2. If l = 1, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 1", "t": "v + 10", "i": "t + 9", "o": "i + 7", "r": "o + 14", "u": "r + 16", "q": "n + 15", "g": "q + 7", "l": "g + 1", "m": "l + 1", "z": "m + 19", "w": "z + 15", "n": 8}, "premises": {"n": 8}, "target": "u"}, "answer": {"steps": [["v", "n + 1", 9], ["t", "v + 10", 19], ["i", "t + 9", 28], ["o", "i + 7", 35], ["r", "o + 14", 49], ["u", "r + 16", 65]], "target_var_name": "u", "target_value": 65, "value_dict": {"n": 8, "v": 9, "t": 19, "i": 28, "o": 35, "r": 49, "u": 65}, "is_reverse": false}} | 399 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 9; r = o + 14; v = n + 1; w = z + 15; g = q + 7; q = n + 15; u = r + 16; l = g + 1; m = l + 1; z = m + 19; o = i + 7; n = 8; t = v + 10. If n = 8, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = n + 1, which gives v = 9.\n2. Compute t using t = v + 10, which gives t = 19.\n3. Compute i using i = t + 9, which gives i = 28.\n4. Compute o using o = i + 7, which gives o = 35.\n5. Compute r using r = o + 14, which gives r = 49.\n6. Compute u using u = r + 16, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 399,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 9; r = o + 14; v = n + 1; w = z + 15; g = q + 7; q = n + 15; u = r + 16; l = g + 1; m = l + 1; z = m + 19; o = i + 7; n = 8; t = v + 10. If n = 8, what is the resulting value of u?",
"split": "train"
} |
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