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": {"i": "b + 12", "c": "i + 10", "r": "c + 12", "s": "r + 10", "m": "s + 15", "v": "m + 9", "h": "b + 18", "q": "h + 16", "e": "q + 17", "t": "e + 7", "d": "t + 9", "z": "d + 20", "b": 19}, "premises": {"b": 19}, "target": "v"}, "answer": {"steps": [["i", "b + 12", 31], ["c", "i + 10", 41], ["r", "c + 12", 53], ["s", "r + 10", 63], ["m", "s + 15", 78], ["v", "m + 9", 87]], "target_var_name": "v", "target_value": 87, "value_dict": {"b": 19, "i": 31, "c": 41, "r": 53, "s": 63, "m": 78, "v": 87}, "is_reverse": false}} | 700 | 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 = t + 9; r = c + 12; v = m + 9; t = e + 7; m = s + 15; b = 19; e = q + 17; z = d + 20; i = b + 12; q = h + 16; h = b + 18; s = r + 10; c = i + 10. If b = 19, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = b + 12, which gives i = 31.\n2. Compute c using c = i + 10, which gives c = 41.\n3. Compute r using r = c + 12, which gives r = 53.\n4. Compute s using s = r + 10, which gives s = 63.\n5. Compute m using m = s + 15, which gives m = 78.\n6. Compute v using v = m + 9, which gives v = 87.\n\nThus, the final answer is v = \\boxed{87}.",
"index": 700,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 9; r = c + 12; v = m + 9; t = e + 7; m = s + 15; b = 19; e = q + 17; z = d + 20; i = b + 12; q = h + 16; h = b + 18; s = r + 10; c = i + 10. If b = 19, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"q": "t + 16", "x": "q + 10", "d": "x + 1", "u": "d + 3", "r": "u + 14", "l": "r + 15", "y": "t + 7", "i": "y + 7", "w": "i + 16", "o": "w + 16", "m": "o + 5", "v": "m + 4", "t": 17}, "premises": {"t": 17}, "target": "l"}, "answer": {"steps": [["q", "t + 16", 33], ["x", "q + 10", 43], ["d", "x + 1", 44], ["u", "d + 3", 47], ["r", "u + 14", 61], ["l", "r + 15", 76]], "target_var_name": "l", "target_value": 76, "value_dict": {"t": 17, "q": 33, "x": 43, "d": 44, "u": 47, "r": 61, "l": 76}, "is_reverse": false}} | 701 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = t + 7; o = w + 16; u = d + 3; v = m + 4; d = x + 1; x = q + 10; m = o + 5; t = 17; w = i + 16; i = y + 7; q = t + 16; r = u + 14; l = r + 15. Given that t = 17, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = t + 16, which gives q = 33.\n2. Compute x using x = q + 10, which gives x = 43.\n3. Compute d using d = x + 1, which gives d = 44.\n4. Compute u using u = d + 3, which gives u = 47.\n5. Compute r using r = u + 14, which gives r = 61.\n6. Compute l using l = r + 15, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 701,
"question": "Suppose a collection of variables is related by the following definitions: y = t + 7; o = w + 16; u = d + 3; v = m + 4; d = x + 1; x = q + 10; m = o + 5; t = 17; w = i + 16; i = y + 7; q = t + 16; r = u + 14; l = r + 15. Given that t = 17, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 14", "i": "l + 6", "y": "i + 10", "n": "y + 13", "t": "n + 1", "q": "t + 5", "z": "b + 6", "u": "z + 20", "c": "u + 3", "r": "c + 10", "j": "r + 6", "o": "j + 14", "b": 5}, "premises": {"b": 5}, "target": "q"}, "answer": {"steps": [["l", "b + 14", 19], ["i", "l + 6", 25], ["y", "i + 10", 35], ["n", "y + 13", 48], ["t", "n + 1", 49], ["q", "t + 5", 54]], "target_var_name": "q", "target_value": 54, "value_dict": {"b": 5, "l": 19, "i": 25, "y": 35, "n": 48, "t": 49, "q": 54}, "is_reverse": false}} | 702 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = b + 14; u = z + 20; q = t + 5; i = l + 6; r = c + 10; t = n + 1; o = j + 14; y = i + 10; b = 5; c = u + 3; n = y + 13; j = r + 6; z = b + 6. If b = 5, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = b + 14, which gives l = 19.\n2. Compute i using i = l + 6, which gives i = 25.\n3. Compute y using y = i + 10, which gives y = 35.\n4. Compute n using n = y + 13, which gives n = 48.\n5. Compute t using t = n + 1, which gives t = 49.\n6. Compute q using q = t + 5, which gives q = 54.\n\nThus, the final answer is q = \\boxed{54}.",
"index": 702,
"question": "Consider a system of variables where each variable is defined as follows: l = b + 14; u = z + 20; q = t + 5; i = l + 6; r = c + 10; t = n + 1; o = j + 14; y = i + 10; b = 5; c = u + 3; n = y + 13; j = r + 6; z = b + 6. If b = 5, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 5", "x": "k + 18", "u": "x + 5", "s": "u + 15", "y": "s + 12", "l": "y + 14", "o": "t + 17", "a": "o + 15", "v": "a + 1", "e": "v + 6", "m": "e + 14", "r": "m + 17", "t": 11}, "premises": {"t": 11}, "target": "l"}, "answer": {"steps": [["k", "t + 5", 16], ["x", "k + 18", 34], ["u", "x + 5", 39], ["s", "u + 15", 54], ["y", "s + 12", 66], ["l", "y + 14", 80]], "target_var_name": "l", "target_value": 80, "value_dict": {"t": 11, "k": 16, "x": 34, "u": 39, "s": 54, "y": 66, "l": 80}, "is_reverse": false}} | 703 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = x + 5; l = y + 14; r = m + 17; s = u + 15; y = s + 12; e = v + 6; o = t + 17; x = k + 18; v = a + 1; t = 11; a = o + 15; m = e + 14; k = t + 5. If t = 11, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = t + 5, which gives k = 16.\n2. Compute x using x = k + 18, which gives x = 34.\n3. Compute u using u = x + 5, which gives u = 39.\n4. Compute s using s = u + 15, which gives s = 54.\n5. Compute y using y = s + 12, which gives y = 66.\n6. Compute l using l = y + 14, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 703,
"question": "Consider a system of variables where each variable is defined as follows: u = x + 5; l = y + 14; r = m + 17; s = u + 15; y = s + 12; e = v + 6; o = t + 17; x = k + 18; v = a + 1; t = 11; a = o + 15; m = e + 14; k = t + 5. If t = 11, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 14", "c": "n + 6", "p": "c + 18", "x": "p + 9", "z": "x + 18", "u": "z + 2", "i": "b + 9", "k": "i + 8", "s": "k + 5", "e": "s + 19", "y": "e + 4", "t": "y + 2", "b": 13}, "premises": {"b": 13}, "target": "u"}, "answer": {"steps": [["n", "b + 14", 27], ["c", "n + 6", 33], ["p", "c + 18", 51], ["x", "p + 9", 60], ["z", "x + 18", 78], ["u", "z + 2", 80]], "target_var_name": "u", "target_value": 80, "value_dict": {"b": 13, "n": 27, "c": 33, "p": 51, "x": 60, "z": 78, "u": 80}, "is_reverse": false}} | 704 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = k + 5; t = y + 2; p = c + 18; e = s + 19; c = n + 6; z = x + 18; u = z + 2; i = b + 9; k = i + 8; b = 13; n = b + 14; x = p + 9; y = e + 4. If b = 13, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = b + 14, which gives n = 27.\n2. Compute c using c = n + 6, which gives c = 33.\n3. Compute p using p = c + 18, which gives p = 51.\n4. Compute x using x = p + 9, which gives x = 60.\n5. Compute z using z = x + 18, which gives z = 78.\n6. Compute u using u = z + 2, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 704,
"question": "Consider a system of variables where each variable is defined as follows: s = k + 5; t = y + 2; p = c + 18; e = s + 19; c = n + 6; z = x + 18; u = z + 2; i = b + 9; k = i + 8; b = 13; n = b + 14; x = p + 9; y = e + 4. If b = 13, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 10", "y": "g + 6", "t": "y + 18", "o": "t + 12", "x": "o + 7", "e": "x + 8", "d": "q + 7", "a": "d + 15", "k": "a + 12", "s": "k + 5", "f": "s + 9", "c": "f + 17", "q": 15}, "premises": {"q": 15}, "target": "e"}, "answer": {"steps": [["g", "q + 10", 25], ["y", "g + 6", 31], ["t", "y + 18", 49], ["o", "t + 12", 61], ["x", "o + 7", 68], ["e", "x + 8", 76]], "target_var_name": "e", "target_value": 76, "value_dict": {"q": 15, "g": 25, "y": 31, "t": 49, "o": 61, "x": 68, "e": 76}, "is_reverse": false}} | 705 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = o + 7; f = s + 9; e = x + 8; d = q + 7; t = y + 18; c = f + 17; g = q + 10; q = 15; y = g + 6; a = d + 15; k = a + 12; s = k + 5; o = t + 12. If q = 15, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = q + 10, which gives g = 25.\n2. Compute y using y = g + 6, which gives y = 31.\n3. Compute t using t = y + 18, which gives t = 49.\n4. Compute o using o = t + 12, which gives o = 61.\n5. Compute x using x = o + 7, which gives x = 68.\n6. Compute e using e = x + 8, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 705,
"question": "Consider a system of variables where each variable is defined as follows: x = o + 7; f = s + 9; e = x + 8; d = q + 7; t = y + 18; c = f + 17; g = q + 10; q = 15; y = g + 6; a = d + 15; k = a + 12; s = k + 5; o = t + 12. If q = 15, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 17", "f": "d + 5", "u": "f + 19", "c": "u + 6", "v": "c + 14", "g": "v + 1", "r": "q + 17", "s": "r + 7", "b": "s + 10", "e": "b + 10", "p": "e + 5", "o": "p + 17", "q": 5}, "premises": {"q": 5}, "target": "g"}, "answer": {"steps": [["d", "q + 17", 22], ["f", "d + 5", 27], ["u", "f + 19", 46], ["c", "u + 6", 52], ["v", "c + 14", 66], ["g", "v + 1", 67]], "target_var_name": "g", "target_value": 67, "value_dict": {"q": 5, "d": 22, "f": 27, "u": 46, "c": 52, "v": 66, "g": 67}, "is_reverse": false}} | 706 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 5; d = q + 17; o = p + 17; p = e + 5; u = f + 19; c = u + 6; v = c + 14; s = r + 7; b = s + 10; f = d + 5; r = q + 17; g = v + 1; e = b + 10. If q = 5, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = q + 17, which gives d = 22.\n2. Compute f using f = d + 5, which gives f = 27.\n3. Compute u using u = f + 19, which gives u = 46.\n4. Compute c using c = u + 6, which gives c = 52.\n5. Compute v using v = c + 14, which gives v = 66.\n6. Compute g using g = v + 1, which gives g = 67.\n\nThus, the final answer is g = \\boxed{67}.",
"index": 706,
"question": "Consider a system of variables where each variable is defined as follows: q = 5; d = q + 17; o = p + 17; p = e + 5; u = f + 19; c = u + 6; v = c + 14; s = r + 7; b = s + 10; f = d + 5; r = q + 17; g = v + 1; e = b + 10. If q = 5, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"a": "q + 15", "r": "a + 3", "k": "r + 5", "x": "k + 13", "c": "x + 6", "l": "c + 2", "v": "q + 9", "e": "v + 5", "u": "e + 2", "f": "u + 18", "m": "f + 5", "g": "m + 12", "q": 19}, "premises": {"q": 19}, "target": "l"}, "answer": {"steps": [["a", "q + 15", 34], ["r", "a + 3", 37], ["k", "r + 5", 42], ["x", "k + 13", 55], ["c", "x + 6", 61], ["l", "c + 2", 63]], "target_var_name": "l", "target_value": 63, "value_dict": {"q": 19, "a": 34, "r": 37, "k": 42, "x": 55, "c": 61, "l": 63}, "is_reverse": false}} | 707 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = a + 3; a = q + 15; l = c + 2; e = v + 5; g = m + 12; x = k + 13; v = q + 9; u = e + 2; q = 19; c = x + 6; m = f + 5; k = r + 5; f = u + 18. Given that q = 19, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = q + 15, which gives a = 34.\n2. Compute r using r = a + 3, which gives r = 37.\n3. Compute k using k = r + 5, which gives k = 42.\n4. Compute x using x = k + 13, which gives x = 55.\n5. Compute c using c = x + 6, which gives c = 61.\n6. Compute l using l = c + 2, which gives l = 63.\n\nThus, the final answer is l = \\boxed{63}.",
"index": 707,
"question": "Suppose a collection of variables is related by the following definitions: r = a + 3; a = q + 15; l = c + 2; e = v + 5; g = m + 12; x = k + 13; v = q + 9; u = e + 2; q = 19; c = x + 6; m = f + 5; k = r + 5; f = u + 18. Given that q = 19, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 6", "d": "b + 16", "z": "d + 14", "h": "z + 5", "t": "h + 2", "f": "t + 11", "p": "e + 5", "a": "p + 8", "i": "a + 8", "y": "i + 8", "m": "y + 5", "l": "m + 13", "e": 11}, "premises": {"e": 11}, "target": "f"}, "answer": {"steps": [["b", "e + 6", 17], ["d", "b + 16", 33], ["z", "d + 14", 47], ["h", "z + 5", 52], ["t", "h + 2", 54], ["f", "t + 11", 65]], "target_var_name": "f", "target_value": 65, "value_dict": {"e": 11, "b": 17, "d": 33, "z": 47, "h": 52, "t": 54, "f": 65}, "is_reverse": false}} | 708 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = p + 8; f = t + 11; d = b + 16; l = m + 13; y = i + 8; z = d + 14; e = 11; b = e + 6; h = z + 5; p = e + 5; i = a + 8; t = h + 2; m = y + 5. Given that e = 11, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = e + 6, which gives b = 17.\n2. Compute d using d = b + 16, which gives d = 33.\n3. Compute z using z = d + 14, which gives z = 47.\n4. Compute h using h = z + 5, which gives h = 52.\n5. Compute t using t = h + 2, which gives t = 54.\n6. Compute f using f = t + 11, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 708,
"question": "Suppose a collection of variables is related by the following definitions: a = p + 8; f = t + 11; d = b + 16; l = m + 13; y = i + 8; z = d + 14; e = 11; b = e + 6; h = z + 5; p = e + 5; i = a + 8; t = h + 2; m = y + 5. Given that e = 11, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"b": "a + 18", "t": "b + 16", "c": "t + 13", "j": "c + 16", "l": "j + 12", "i": "l + 5", "w": "a + 15", "e": "w + 15", "g": "e + 18", "y": "g + 12", "o": "y + 5", "u": "o + 6", "a": 2}, "premises": {"a": 2}, "target": "i"}, "answer": {"steps": [["b", "a + 18", 20], ["t", "b + 16", 36], ["c", "t + 13", 49], ["j", "c + 16", 65], ["l", "j + 12", 77], ["i", "l + 5", 82]], "target_var_name": "i", "target_value": 82, "value_dict": {"a": 2, "b": 20, "t": 36, "c": 49, "j": 65, "l": 77, "i": 82}, "is_reverse": false}} | 709 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = b + 16; c = t + 13; o = y + 5; a = 2; w = a + 15; l = j + 12; e = w + 15; b = a + 18; g = e + 18; u = o + 6; i = l + 5; y = g + 12; j = c + 16. If a = 2, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = a + 18, which gives b = 20.\n2. Compute t using t = b + 16, which gives t = 36.\n3. Compute c using c = t + 13, which gives c = 49.\n4. Compute j using j = c + 16, which gives j = 65.\n5. Compute l using l = j + 12, which gives l = 77.\n6. Compute i using i = l + 5, which gives i = 82.\n\nThus, the final answer is i = \\boxed{82}.",
"index": 709,
"question": "Consider a system of variables where each variable is defined as follows: t = b + 16; c = t + 13; o = y + 5; a = 2; w = a + 15; l = j + 12; e = w + 15; b = a + 18; g = e + 18; u = o + 6; i = l + 5; y = g + 12; j = c + 16. If a = 2, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 7", "x": "v + 13", "q": "x + 9", "u": "q + 13", "i": "u + 6", "j": "i + 12", "m": "h + 4", "k": "m + 7", "g": "k + 7", "w": "g + 10", "l": "w + 16", "c": "l + 3", "h": 13}, "premises": {"h": 13}, "target": "j"}, "answer": {"steps": [["v", "h + 7", 20], ["x", "v + 13", 33], ["q", "x + 9", 42], ["u", "q + 13", 55], ["i", "u + 6", 61], ["j", "i + 12", 73]], "target_var_name": "j", "target_value": 73, "value_dict": {"h": 13, "v": 20, "x": 33, "q": 42, "u": 55, "i": 61, "j": 73}, "is_reverse": false}} | 710 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = h + 4; l = w + 16; k = m + 7; v = h + 7; x = v + 13; j = i + 12; u = q + 13; c = l + 3; i = u + 6; g = k + 7; w = g + 10; q = x + 9; h = 13. If h = 13, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = h + 7, which gives v = 20.\n2. Compute x using x = v + 13, which gives x = 33.\n3. Compute q using q = x + 9, which gives q = 42.\n4. Compute u using u = q + 13, which gives u = 55.\n5. Compute i using i = u + 6, which gives i = 61.\n6. Compute j using j = i + 12, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 710,
"question": "Consider a system of variables where each variable is defined as follows: m = h + 4; l = w + 16; k = m + 7; v = h + 7; x = v + 13; j = i + 12; u = q + 13; c = l + 3; i = u + 6; g = k + 7; w = g + 10; q = x + 9; h = 13. If h = 13, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"b": "f + 16", "q": "b + 9", "e": "q + 11", "r": "e + 9", "z": "r + 8", "o": "z + 16", "n": "f + 17", "m": "n + 4", "h": "m + 9", "d": "h + 9", "u": "d + 2", "v": "u + 7", "f": 15}, "premises": {"f": 15}, "target": "o"}, "answer": {"steps": [["b", "f + 16", 31], ["q", "b + 9", 40], ["e", "q + 11", 51], ["r", "e + 9", 60], ["z", "r + 8", 68], ["o", "z + 16", 84]], "target_var_name": "o", "target_value": 84, "value_dict": {"f": 15, "b": 31, "q": 40, "e": 51, "r": 60, "z": 68, "o": 84}, "is_reverse": false}} | 711 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = 15; q = b + 9; e = q + 11; n = f + 17; m = n + 4; h = m + 9; z = r + 8; o = z + 16; u = d + 2; r = e + 9; d = h + 9; b = f + 16; v = u + 7. If f = 15, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = f + 16, which gives b = 31.\n2. Compute q using q = b + 9, which gives q = 40.\n3. Compute e using e = q + 11, which gives e = 51.\n4. Compute r using r = e + 9, which gives r = 60.\n5. Compute z using z = r + 8, which gives z = 68.\n6. Compute o using o = z + 16, which gives o = 84.\n\nThus, the final answer is o = \\boxed{84}.",
"index": 711,
"question": "Consider a system of variables where each variable is defined as follows: f = 15; q = b + 9; e = q + 11; n = f + 17; m = n + 4; h = m + 9; z = r + 8; o = z + 16; u = d + 2; r = e + 9; d = h + 9; b = f + 16; v = u + 7. If f = 15, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 20", "h": "d + 5", "j": "h + 4", "r": "j + 3", "q": "r + 4", "n": "q + 7", "e": "v + 15", "m": "e + 1", "f": "m + 2", "o": "f + 10", "a": "o + 10", "y": "a + 16", "v": 6}, "premises": {"v": 6}, "target": "n"}, "answer": {"steps": [["d", "v + 20", 26], ["h", "d + 5", 31], ["j", "h + 4", 35], ["r", "j + 3", 38], ["q", "r + 4", 42], ["n", "q + 7", 49]], "target_var_name": "n", "target_value": 49, "value_dict": {"v": 6, "d": 26, "h": 31, "j": 35, "r": 38, "q": 42, "n": 49}, "is_reverse": false}} | 712 | 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 = f + 10; v = 6; h = d + 5; a = o + 10; m = e + 1; r = j + 3; e = v + 15; q = r + 4; d = v + 20; y = a + 16; n = q + 7; f = m + 2; j = h + 4. If v = 6, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = v + 20, which gives d = 26.\n2. Compute h using h = d + 5, which gives h = 31.\n3. Compute j using j = h + 4, which gives j = 35.\n4. Compute r using r = j + 3, which gives r = 38.\n5. Compute q using q = r + 4, which gives q = 42.\n6. Compute n using n = q + 7, which gives n = 49.\n\nThus, the final answer is n = \\boxed{49}.",
"index": 712,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = f + 10; v = 6; h = d + 5; a = o + 10; m = e + 1; r = j + 3; e = v + 15; q = r + 4; d = v + 20; y = a + 16; n = q + 7; f = m + 2; j = h + 4. If v = 6, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 20", "g": "j + 8", "u": "g + 2", "n": "u + 17", "d": "n + 6", "y": "d + 3", "b": "f + 17", "s": "b + 13", "x": "s + 20", "k": "x + 4", "l": "k + 8", "e": "l + 7", "f": 14}, "premises": {"f": 14}, "target": "y"}, "answer": {"steps": [["j", "f + 20", 34], ["g", "j + 8", 42], ["u", "g + 2", 44], ["n", "u + 17", 61], ["d", "n + 6", 67], ["y", "d + 3", 70]], "target_var_name": "y", "target_value": 70, "value_dict": {"f": 14, "j": 34, "g": 42, "u": 44, "n": 61, "d": 67, "y": 70}, "is_reverse": false}} | 713 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = u + 17; e = l + 7; u = g + 2; l = k + 8; f = 14; g = j + 8; b = f + 17; j = f + 20; k = x + 4; x = s + 20; y = d + 3; s = b + 13; d = n + 6. If f = 14, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = f + 20, which gives j = 34.\n2. Compute g using g = j + 8, which gives g = 42.\n3. Compute u using u = g + 2, which gives u = 44.\n4. Compute n using n = u + 17, which gives n = 61.\n5. Compute d using d = n + 6, which gives d = 67.\n6. Compute y using y = d + 3, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 713,
"question": "Consider a system of variables where each variable is defined as follows: n = u + 17; e = l + 7; u = g + 2; l = k + 8; f = 14; g = j + 8; b = f + 17; j = f + 20; k = x + 4; x = s + 20; y = d + 3; s = b + 13; d = n + 6. If f = 14, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 6", "b": "k + 7", "v": "b + 4", "q": "v + 6", "y": "q + 15", "w": "y + 16", "p": "f + 6", "g": "p + 13", "a": "g + 2", "s": "a + 5", "e": "s + 4", "x": "e + 18", "f": 17}, "premises": {"f": 17}, "target": "w"}, "answer": {"steps": [["k", "f + 6", 23], ["b", "k + 7", 30], ["v", "b + 4", 34], ["q", "v + 6", 40], ["y", "q + 15", 55], ["w", "y + 16", 71]], "target_var_name": "w", "target_value": 71, "value_dict": {"f": 17, "k": 23, "b": 30, "v": 34, "q": 40, "y": 55, "w": 71}, "is_reverse": false}} | 714 | 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 = y + 16; y = q + 15; q = v + 6; f = 17; a = g + 2; k = f + 6; g = p + 13; x = e + 18; s = a + 5; p = f + 6; v = b + 4; e = s + 4; b = k + 7. If f = 17, what is the resulting value of w?",
"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 = f + 6, which gives k = 23.\n2. Compute b using b = k + 7, which gives b = 30.\n3. Compute v using v = b + 4, which gives v = 34.\n4. Compute q using q = v + 6, which gives q = 40.\n5. Compute y using y = q + 15, which gives y = 55.\n6. Compute w using w = y + 16, which gives w = 71.\n\nThus, the final answer is w = \\boxed{71}.",
"index": 714,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = y + 16; y = q + 15; q = v + 6; f = 17; a = g + 2; k = f + 6; g = p + 13; x = e + 18; s = a + 5; p = f + 6; v = b + 4; e = s + 4; b = k + 7. If f = 17, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"t": "e + 18", "k": "t + 12", "g": "k + 10", "i": "g + 7", "d": "i + 17", "p": "d + 5", "l": "e + 2", "a": "l + 7", "m": "a + 19", "z": "m + 1", "o": "z + 4", "r": "o + 19", "e": 2}, "premises": {"e": 2}, "target": "p"}, "answer": {"steps": [["t", "e + 18", 20], ["k", "t + 12", 32], ["g", "k + 10", 42], ["i", "g + 7", 49], ["d", "i + 17", 66], ["p", "d + 5", 71]], "target_var_name": "p", "target_value": 71, "value_dict": {"e": 2, "t": 20, "k": 32, "g": 42, "i": 49, "d": 66, "p": 71}, "is_reverse": false}} | 715 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 19; i = g + 7; g = k + 10; m = a + 19; e = 2; t = e + 18; a = l + 7; k = t + 12; p = d + 5; l = e + 2; o = z + 4; z = m + 1; d = i + 17. If e = 2, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = e + 18, which gives t = 20.\n2. Compute k using k = t + 12, which gives k = 32.\n3. Compute g using g = k + 10, which gives g = 42.\n4. Compute i using i = g + 7, which gives i = 49.\n5. Compute d using d = i + 17, which gives d = 66.\n6. Compute p using p = d + 5, which gives p = 71.\n\nThus, the final answer is p = \\boxed{71}.",
"index": 715,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 19; i = g + 7; g = k + 10; m = a + 19; e = 2; t = e + 18; a = l + 7; k = t + 12; p = d + 5; l = e + 2; o = z + 4; z = m + 1; d = i + 17. If e = 2, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"b": "k + 11", "h": "b + 17", "x": "h + 6", "l": "x + 6", "j": "l + 19", "u": "j + 17", "r": "k + 14", "s": "r + 1", "c": "s + 16", "g": "c + 15", "o": "g + 5", "n": "o + 13", "k": 7}, "premises": {"k": 7}, "target": "u"}, "answer": {"steps": [["b", "k + 11", 18], ["h", "b + 17", 35], ["x", "h + 6", 41], ["l", "x + 6", 47], ["j", "l + 19", 66], ["u", "j + 17", 83]], "target_var_name": "u", "target_value": 83, "value_dict": {"k": 7, "b": 18, "h": 35, "x": 41, "l": 47, "j": 66, "u": 83}, "is_reverse": false}} | 716 | 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 = k + 11; g = c + 15; j = l + 19; r = k + 14; k = 7; o = g + 5; c = s + 16; h = b + 17; n = o + 13; l = x + 6; u = j + 17; s = r + 1; x = h + 6. If k = 7, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = k + 11, which gives b = 18.\n2. Compute h using h = b + 17, which gives h = 35.\n3. Compute x using x = h + 6, which gives x = 41.\n4. Compute l using l = x + 6, which gives l = 47.\n5. Compute j using j = l + 19, which gives j = 66.\n6. Compute u using u = j + 17, which gives u = 83.\n\nThus, the final answer is u = \\boxed{83}.",
"index": 716,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = k + 11; g = c + 15; j = l + 19; r = k + 14; k = 7; o = g + 5; c = s + 16; h = b + 17; n = o + 13; l = x + 6; u = j + 17; s = r + 1; x = h + 6. If k = 7, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 19", "q": "l + 11", "b": "q + 16", "c": "b + 18", "f": "c + 7", "o": "f + 20", "s": "x + 17", "a": "s + 19", "k": "a + 12", "d": "k + 14", "w": "d + 1", "v": "w + 11", "x": 19}, "premises": {"x": 19}, "target": "o"}, "answer": {"steps": [["l", "x + 19", 38], ["q", "l + 11", 49], ["b", "q + 16", 65], ["c", "b + 18", 83], ["f", "c + 7", 90], ["o", "f + 20", 110]], "target_var_name": "o", "target_value": 110, "value_dict": {"x": 19, "l": 38, "q": 49, "b": 65, "c": 83, "f": 90, "o": 110}, "is_reverse": false}} | 717 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = a + 12; q = l + 11; v = w + 11; d = k + 14; x = 19; o = f + 20; s = x + 17; c = b + 18; f = c + 7; a = s + 19; l = x + 19; w = d + 1; b = q + 16. Given that x = 19, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = x + 19, which gives l = 38.\n2. Compute q using q = l + 11, which gives q = 49.\n3. Compute b using b = q + 16, which gives b = 65.\n4. Compute c using c = b + 18, which gives c = 83.\n5. Compute f using f = c + 7, which gives f = 90.\n6. Compute o using o = f + 20, which gives o = 110.\n\nThus, the final answer is o = \\boxed{110}.",
"index": 717,
"question": "Suppose a collection of variables is related by the following definitions: k = a + 12; q = l + 11; v = w + 11; d = k + 14; x = 19; o = f + 20; s = x + 17; c = b + 18; f = c + 7; a = s + 19; l = x + 19; w = d + 1; b = q + 16. Given that x = 19, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"y": "e + 8", "m": "y + 13", "t": "m + 10", "p": "t + 20", "j": "p + 10", "b": "j + 6", "n": "e + 18", "i": "n + 7", "g": "i + 4", "u": "g + 12", "l": "u + 8", "k": "l + 19", "e": 18}, "premises": {"e": 18}, "target": "b"}, "answer": {"steps": [["y", "e + 8", 26], ["m", "y + 13", 39], ["t", "m + 10", 49], ["p", "t + 20", 69], ["j", "p + 10", 79], ["b", "j + 6", 85]], "target_var_name": "b", "target_value": 85, "value_dict": {"e": 18, "y": 26, "m": 39, "t": 49, "p": 69, "j": 79, "b": 85}, "is_reverse": false}} | 718 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 19; l = u + 8; t = m + 10; e = 18; i = n + 7; n = e + 18; g = i + 4; y = e + 8; b = j + 6; m = y + 13; j = p + 10; p = t + 20; u = g + 12. If e = 18, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = e + 8, which gives y = 26.\n2. Compute m using m = y + 13, which gives m = 39.\n3. Compute t using t = m + 10, which gives t = 49.\n4. Compute p using p = t + 20, which gives p = 69.\n5. Compute j using j = p + 10, which gives j = 79.\n6. Compute b using b = j + 6, which gives b = 85.\n\nThus, the final answer is b = \\boxed{85}.",
"index": 718,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 19; l = u + 8; t = m + 10; e = 18; i = n + 7; n = e + 18; g = i + 4; y = e + 8; b = j + 6; m = y + 13; j = p + 10; p = t + 20; u = g + 12. If e = 18, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 8", "y": "x + 14", "g": "y + 18", "c": "g + 16", "f": "c + 7", "h": "f + 12", "l": "w + 14", "t": "l + 19", "j": "t + 16", "v": "j + 18", "n": "v + 18", "o": "n + 10", "w": 12}, "premises": {"w": 12}, "target": "h"}, "answer": {"steps": [["x", "w + 8", 20], ["y", "x + 14", 34], ["g", "y + 18", 52], ["c", "g + 16", 68], ["f", "c + 7", 75], ["h", "f + 12", 87]], "target_var_name": "h", "target_value": 87, "value_dict": {"w": 12, "x": 20, "y": 34, "g": 52, "c": 68, "f": 75, "h": 87}, "is_reverse": false}} | 719 | 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 = l + 19; o = n + 10; j = t + 16; x = w + 8; l = w + 14; v = j + 18; c = g + 16; n = v + 18; h = f + 12; g = y + 18; f = c + 7; y = x + 14; w = 12. If w = 12, what is the resulting 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 x using x = w + 8, which gives x = 20.\n2. Compute y using y = x + 14, which gives y = 34.\n3. Compute g using g = y + 18, which gives g = 52.\n4. Compute c using c = g + 16, which gives c = 68.\n5. Compute f using f = c + 7, which gives f = 75.\n6. Compute h using h = f + 12, which gives h = 87.\n\nThus, the final answer is h = \\boxed{87}.",
"index": 719,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = l + 19; o = n + 10; j = t + 16; x = w + 8; l = w + 14; v = j + 18; c = g + 16; n = v + 18; h = f + 12; g = y + 18; f = c + 7; y = x + 14; w = 12. If w = 12, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"z": "g + 19", "u": "z + 15", "v": "u + 19", "t": "v + 7", "d": "t + 18", "c": "d + 9", "k": "g + 12", "e": "k + 11", "b": "e + 1", "s": "b + 8", "r": "s + 14", "i": "r + 6", "g": 20}, "premises": {"g": 20}, "target": "c"}, "answer": {"steps": [["z", "g + 19", 39], ["u", "z + 15", 54], ["v", "u + 19", 73], ["t", "v + 7", 80], ["d", "t + 18", 98], ["c", "d + 9", 107]], "target_var_name": "c", "target_value": 107, "value_dict": {"g": 20, "z": 39, "u": 54, "v": 73, "t": 80, "d": 98, "c": 107}, "is_reverse": false}} | 720 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = u + 19; g = 20; c = d + 9; r = s + 14; b = e + 1; z = g + 19; k = g + 12; u = z + 15; t = v + 7; s = b + 8; e = k + 11; i = r + 6; d = t + 18. If g = 20, what is the resulting value of c?",
"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 = g + 19, which gives z = 39.\n2. Compute u using u = z + 15, which gives u = 54.\n3. Compute v using v = u + 19, which gives v = 73.\n4. Compute t using t = v + 7, which gives t = 80.\n5. Compute d using d = t + 18, which gives d = 98.\n6. Compute c using c = d + 9, which gives c = 107.\n\nThus, the final answer is c = \\boxed{107}.",
"index": 720,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = u + 19; g = 20; c = d + 9; r = s + 14; b = e + 1; z = g + 19; k = g + 12; u = z + 15; t = v + 7; s = b + 8; e = k + 11; i = r + 6; d = t + 18. If g = 20, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 16", "j": "z + 16", "f": "j + 7", "d": "f + 3", "m": "d + 14", "s": "m + 2", "c": "i + 18", "l": "c + 18", "k": "l + 6", "t": "k + 6", "x": "t + 10", "b": "x + 8", "i": 18}, "premises": {"i": 18}, "target": "s"}, "answer": {"steps": [["z", "i + 16", 34], ["j", "z + 16", 50], ["f", "j + 7", 57], ["d", "f + 3", 60], ["m", "d + 14", 74], ["s", "m + 2", 76]], "target_var_name": "s", "target_value": 76, "value_dict": {"i": 18, "z": 34, "j": 50, "f": 57, "d": 60, "m": 74, "s": 76}, "is_reverse": false}} | 721 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = m + 2; l = c + 18; t = k + 6; b = x + 8; i = 18; d = f + 3; z = i + 16; m = d + 14; c = i + 18; k = l + 6; f = j + 7; x = t + 10; j = z + 16. If i = 18, what is the resulting 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 z using z = i + 16, which gives z = 34.\n2. Compute j using j = z + 16, which gives j = 50.\n3. Compute f using f = j + 7, which gives f = 57.\n4. Compute d using d = f + 3, which gives d = 60.\n5. Compute m using m = d + 14, which gives m = 74.\n6. Compute s using s = m + 2, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 721,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = m + 2; l = c + 18; t = k + 6; b = x + 8; i = 18; d = f + 3; z = i + 16; m = d + 14; c = i + 18; k = l + 6; f = j + 7; x = t + 10; j = z + 16. If i = 18, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 3", "u": "f + 4", "q": "u + 20", "z": "q + 1", "w": "z + 14", "i": "w + 10", "b": "s + 3", "j": "b + 19", "m": "j + 8", "c": "m + 8", "a": "c + 16", "n": "a + 9", "s": 15}, "premises": {"s": 15}, "target": "i"}, "answer": {"steps": [["f", "s + 3", 18], ["u", "f + 4", 22], ["q", "u + 20", 42], ["z", "q + 1", 43], ["w", "z + 14", 57], ["i", "w + 10", 67]], "target_var_name": "i", "target_value": 67, "value_dict": {"s": 15, "f": 18, "u": 22, "q": 42, "z": 43, "w": 57, "i": 67}, "is_reverse": false}} | 722 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = f + 4; s = 15; i = w + 10; m = j + 8; a = c + 16; f = s + 3; b = s + 3; z = q + 1; j = b + 19; c = m + 8; n = a + 9; w = z + 14; q = u + 20. If s = 15, 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 f using f = s + 3, which gives f = 18.\n2. Compute u using u = f + 4, which gives u = 22.\n3. Compute q using q = u + 20, which gives q = 42.\n4. Compute z using z = q + 1, which gives z = 43.\n5. Compute w using w = z + 14, which gives w = 57.\n6. Compute i using i = w + 10, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 722,
"question": "Consider a system of variables where each variable is defined as follows: u = f + 4; s = 15; i = w + 10; m = j + 8; a = c + 16; f = s + 3; b = s + 3; z = q + 1; j = b + 19; c = m + 8; n = a + 9; w = z + 14; q = u + 20. If s = 15, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 2", "x": "g + 10", "a": "x + 5", "k": "a + 14", "s": "k + 6", "z": "s + 13", "m": "c + 19", "y": "m + 4", "p": "y + 17", "i": "p + 19", "e": "i + 6", "u": "e + 9", "c": 20}, "premises": {"c": 20}, "target": "z"}, "answer": {"steps": [["g", "c + 2", 22], ["x", "g + 10", 32], ["a", "x + 5", 37], ["k", "a + 14", 51], ["s", "k + 6", 57], ["z", "s + 13", 70]], "target_var_name": "z", "target_value": 70, "value_dict": {"c": 20, "g": 22, "x": 32, "a": 37, "k": 51, "s": 57, "z": 70}, "is_reverse": false}} | 723 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 9; p = y + 17; m = c + 19; c = 20; a = x + 5; z = s + 13; i = p + 19; g = c + 2; e = i + 6; k = a + 14; x = g + 10; y = m + 4; s = k + 6. If c = 20, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = c + 2, which gives g = 22.\n2. Compute x using x = g + 10, which gives x = 32.\n3. Compute a using a = x + 5, which gives a = 37.\n4. Compute k using k = a + 14, which gives k = 51.\n5. Compute s using s = k + 6, which gives s = 57.\n6. Compute z using z = s + 13, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 723,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 9; p = y + 17; m = c + 19; c = 20; a = x + 5; z = s + 13; i = p + 19; g = c + 2; e = i + 6; k = a + 14; x = g + 10; y = m + 4; s = k + 6. If c = 20, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 11", "c": "y + 18", "n": "c + 6", "l": "n + 19", "h": "l + 14", "o": "h + 18", "r": "b + 19", "w": "r + 17", "m": "w + 7", "e": "m + 19", "x": "e + 9", "f": "x + 18", "b": 16}, "premises": {"b": 16}, "target": "o"}, "answer": {"steps": [["y", "b + 11", 27], ["c", "y + 18", 45], ["n", "c + 6", 51], ["l", "n + 19", 70], ["h", "l + 14", 84], ["o", "h + 18", 102]], "target_var_name": "o", "target_value": 102, "value_dict": {"b": 16, "y": 27, "c": 45, "n": 51, "l": 70, "h": 84, "o": 102}, "is_reverse": false}} | 724 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = w + 7; h = l + 14; f = x + 18; r = b + 19; w = r + 17; c = y + 18; o = h + 18; x = e + 9; n = c + 6; e = m + 19; l = n + 19; b = 16; y = b + 11. If b = 16, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = b + 11, which gives y = 27.\n2. Compute c using c = y + 18, which gives c = 45.\n3. Compute n using n = c + 6, which gives n = 51.\n4. Compute l using l = n + 19, which gives l = 70.\n5. Compute h using h = l + 14, which gives h = 84.\n6. Compute o using o = h + 18, which gives o = 102.\n\nThus, the final answer is o = \\boxed{102}.",
"index": 724,
"question": "Consider a system of variables where each variable is defined as follows: m = w + 7; h = l + 14; f = x + 18; r = b + 19; w = r + 17; c = y + 18; o = h + 18; x = e + 9; n = c + 6; e = m + 19; l = n + 19; b = 16; y = b + 11. If b = 16, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 14", "h": "u + 14", "v": "h + 13", "g": "v + 6", "b": "g + 5", "o": "b + 12", "p": "d + 5", "s": "p + 5", "r": "s + 8", "i": "r + 5", "y": "i + 15", "q": "y + 20", "d": 20}, "premises": {"d": 20}, "target": "o"}, "answer": {"steps": [["u", "d + 14", 34], ["h", "u + 14", 48], ["v", "h + 13", 61], ["g", "v + 6", 67], ["b", "g + 5", 72], ["o", "b + 12", 84]], "target_var_name": "o", "target_value": 84, "value_dict": {"d": 20, "u": 34, "h": 48, "v": 61, "g": 67, "b": 72, "o": 84}, "is_reverse": false}} | 725 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = g + 5; u = d + 14; y = i + 15; s = p + 5; i = r + 5; g = v + 6; q = y + 20; v = h + 13; p = d + 5; d = 20; o = b + 12; h = u + 14; r = s + 8. If d = 20, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = d + 14, which gives u = 34.\n2. Compute h using h = u + 14, which gives h = 48.\n3. Compute v using v = h + 13, which gives v = 61.\n4. Compute g using g = v + 6, which gives g = 67.\n5. Compute b using b = g + 5, which gives b = 72.\n6. Compute o using o = b + 12, which gives o = 84.\n\nThus, the final answer is o = \\boxed{84}.",
"index": 725,
"question": "Consider a system of variables where each variable is defined as follows: b = g + 5; u = d + 14; y = i + 15; s = p + 5; i = r + 5; g = v + 6; q = y + 20; v = h + 13; p = d + 5; d = 20; o = b + 12; h = u + 14; r = s + 8. If d = 20, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 11", "z": "c + 6", "w": "z + 6", "f": "w + 4", "j": "f + 3", "t": "j + 18", "a": "x + 18", "v": "a + 7", "u": "v + 9", "h": "u + 3", "q": "h + 9", "r": "q + 17", "x": 6}, "premises": {"x": 6}, "target": "t"}, "answer": {"steps": [["c", "x + 11", 17], ["z", "c + 6", 23], ["w", "z + 6", 29], ["f", "w + 4", 33], ["j", "f + 3", 36], ["t", "j + 18", 54]], "target_var_name": "t", "target_value": 54, "value_dict": {"x": 6, "c": 17, "z": 23, "w": 29, "f": 33, "j": 36, "t": 54}, "is_reverse": false}} | 726 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = a + 7; a = x + 18; f = w + 4; c = x + 11; w = z + 6; x = 6; u = v + 9; r = q + 17; h = u + 3; z = c + 6; q = h + 9; j = f + 3; t = j + 18. If x = 6, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = x + 11, which gives c = 17.\n2. Compute z using z = c + 6, which gives z = 23.\n3. Compute w using w = z + 6, which gives w = 29.\n4. Compute f using f = w + 4, which gives f = 33.\n5. Compute j using j = f + 3, which gives j = 36.\n6. Compute t using t = j + 18, which gives t = 54.\n\nThus, the final answer is t = \\boxed{54}.",
"index": 726,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = a + 7; a = x + 18; f = w + 4; c = x + 11; w = z + 6; x = 6; u = v + 9; r = q + 17; h = u + 3; z = c + 6; q = h + 9; j = f + 3; t = j + 18. If x = 6, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 7", "m": "s + 7", "i": "m + 5", "k": "i + 15", "n": "k + 14", "j": "n + 14", "r": "c + 18", "a": "r + 5", "u": "a + 8", "p": "u + 12", "g": "p + 20", "h": "g + 20", "c": 1}, "premises": {"c": 1}, "target": "j"}, "answer": {"steps": [["s", "c + 7", 8], ["m", "s + 7", 15], ["i", "m + 5", 20], ["k", "i + 15", 35], ["n", "k + 14", 49], ["j", "n + 14", 63]], "target_var_name": "j", "target_value": 63, "value_dict": {"c": 1, "s": 8, "m": 15, "i": 20, "k": 35, "n": 49, "j": 63}, "is_reverse": false}} | 727 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = s + 7; r = c + 18; a = r + 5; p = u + 12; n = k + 14; h = g + 20; k = i + 15; j = n + 14; g = p + 20; u = a + 8; s = c + 7; i = m + 5; c = 1. If c = 1, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = c + 7, which gives s = 8.\n2. Compute m using m = s + 7, which gives m = 15.\n3. Compute i using i = m + 5, which gives i = 20.\n4. Compute k using k = i + 15, which gives k = 35.\n5. Compute n using n = k + 14, which gives n = 49.\n6. Compute j using j = n + 14, which gives j = 63.\n\nThus, the final answer is j = \\boxed{63}.",
"index": 727,
"question": "Consider a system of variables where each variable is defined as follows: m = s + 7; r = c + 18; a = r + 5; p = u + 12; n = k + 14; h = g + 20; k = i + 15; j = n + 14; g = p + 20; u = a + 8; s = c + 7; i = m + 5; c = 1. If c = 1, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 10", "e": "f + 11", "m": "e + 3", "j": "m + 17", "g": "j + 19", "y": "g + 3", "r": "b + 4", "d": "r + 6", "o": "d + 20", "k": "o + 19", "l": "k + 15", "w": "l + 9", "b": 14}, "premises": {"b": 14}, "target": "y"}, "answer": {"steps": [["f", "b + 10", 24], ["e", "f + 11", 35], ["m", "e + 3", 38], ["j", "m + 17", 55], ["g", "j + 19", 74], ["y", "g + 3", 77]], "target_var_name": "y", "target_value": 77, "value_dict": {"b": 14, "f": 24, "e": 35, "m": 38, "j": 55, "g": 74, "y": 77}, "is_reverse": false}} | 728 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 17; d = r + 6; y = g + 3; f = b + 10; w = l + 9; e = f + 11; m = e + 3; r = b + 4; l = k + 15; k = o + 19; o = d + 20; g = j + 19; b = 14. If b = 14, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = b + 10, which gives f = 24.\n2. Compute e using e = f + 11, which gives e = 35.\n3. Compute m using m = e + 3, which gives m = 38.\n4. Compute j using j = m + 17, which gives j = 55.\n5. Compute g using g = j + 19, which gives g = 74.\n6. Compute y using y = g + 3, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 728,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 17; d = r + 6; y = g + 3; f = b + 10; w = l + 9; e = f + 11; m = e + 3; r = b + 4; l = k + 15; k = o + 19; o = d + 20; g = j + 19; b = 14. If b = 14, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 3", "z": "c + 10", "m": "z + 19", "n": "m + 7", "k": "n + 2", "r": "k + 12", "d": "p + 20", "o": "d + 16", "s": "o + 20", "v": "s + 5", "g": "v + 14", "f": "g + 9", "p": 19}, "premises": {"p": 19}, "target": "r"}, "answer": {"steps": [["c", "p + 3", 22], ["z", "c + 10", 32], ["m", "z + 19", 51], ["n", "m + 7", 58], ["k", "n + 2", 60], ["r", "k + 12", 72]], "target_var_name": "r", "target_value": 72, "value_dict": {"p": 19, "c": 22, "z": 32, "m": 51, "n": 58, "k": 60, "r": 72}, "is_reverse": false}} | 729 | 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 = c + 10; p = 19; c = p + 3; d = p + 20; n = m + 7; g = v + 14; s = o + 20; f = g + 9; o = d + 16; r = k + 12; m = z + 19; k = n + 2; v = s + 5. If p = 19, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = p + 3, which gives c = 22.\n2. Compute z using z = c + 10, which gives z = 32.\n3. Compute m using m = z + 19, which gives m = 51.\n4. Compute n using n = m + 7, which gives n = 58.\n5. Compute k using k = n + 2, which gives k = 60.\n6. Compute r using r = k + 12, which gives r = 72.\n\nThus, the final answer is r = \\boxed{72}.",
"index": 729,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 10; p = 19; c = p + 3; d = p + 20; n = m + 7; g = v + 14; s = o + 20; f = g + 9; o = d + 16; r = k + 12; m = z + 19; k = n + 2; v = s + 5. If p = 19, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 1", "b": "u + 13", "v": "b + 11", "m": "v + 3", "o": "m + 5", "r": "o + 8", "l": "c + 10", "y": "l + 10", "f": "y + 20", "g": "f + 10", "w": "g + 13", "p": "w + 11", "c": 19}, "premises": {"c": 19}, "target": "r"}, "answer": {"steps": [["u", "c + 1", 20], ["b", "u + 13", 33], ["v", "b + 11", 44], ["m", "v + 3", 47], ["o", "m + 5", 52], ["r", "o + 8", 60]], "target_var_name": "r", "target_value": 60, "value_dict": {"c": 19, "u": 20, "b": 33, "v": 44, "m": 47, "o": 52, "r": 60}, "is_reverse": false}} | 730 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = o + 8; f = y + 20; p = w + 11; w = g + 13; l = c + 10; g = f + 10; y = l + 10; m = v + 3; b = u + 13; c = 19; o = m + 5; u = c + 1; v = b + 11. Given that c = 19, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = c + 1, which gives u = 20.\n2. Compute b using b = u + 13, which gives b = 33.\n3. Compute v using v = b + 11, which gives v = 44.\n4. Compute m using m = v + 3, which gives m = 47.\n5. Compute o using o = m + 5, which gives o = 52.\n6. Compute r using r = o + 8, which gives r = 60.\n\nThus, the final answer is r = \\boxed{60}.",
"index": 730,
"question": "Suppose a collection of variables is related by the following definitions: r = o + 8; f = y + 20; p = w + 11; w = g + 13; l = c + 10; g = f + 10; y = l + 10; m = v + 3; b = u + 13; c = 19; o = m + 5; u = c + 1; v = b + 11. Given that c = 19, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"j": "r + 7", "l": "j + 13", "m": "l + 9", "w": "m + 2", "g": "w + 10", "z": "g + 3", "s": "r + 17", "h": "s + 13", "x": "h + 18", "q": "x + 6", "k": "q + 11", "u": "k + 5", "r": 3}, "premises": {"r": 3}, "target": "z"}, "answer": {"steps": [["j", "r + 7", 10], ["l", "j + 13", 23], ["m", "l + 9", 32], ["w", "m + 2", 34], ["g", "w + 10", 44], ["z", "g + 3", 47]], "target_var_name": "z", "target_value": 47, "value_dict": {"r": 3, "j": 10, "l": 23, "m": 32, "w": 34, "g": 44, "z": 47}, "is_reverse": false}} | 731 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 7; u = k + 5; s = r + 17; l = j + 13; k = q + 11; q = x + 6; h = s + 13; r = 3; w = m + 2; g = w + 10; z = g + 3; x = h + 18; m = l + 9. If r = 3, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = r + 7, which gives j = 10.\n2. Compute l using l = j + 13, which gives l = 23.\n3. Compute m using m = l + 9, which gives m = 32.\n4. Compute w using w = m + 2, which gives w = 34.\n5. Compute g using g = w + 10, which gives g = 44.\n6. Compute z using z = g + 3, which gives z = 47.\n\nThus, the final answer is z = \\boxed{47}.",
"index": 731,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 7; u = k + 5; s = r + 17; l = j + 13; k = q + 11; q = x + 6; h = s + 13; r = 3; w = m + 2; g = w + 10; z = g + 3; x = h + 18; m = l + 9. If r = 3, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 9", "o": "l + 11", "f": "o + 9", "r": "f + 10", "q": "r + 2", "a": "q + 10", "n": "u + 6", "v": "n + 15", "y": "v + 10", "m": "y + 8", "k": "m + 17", "b": "k + 12", "u": 3}, "premises": {"u": 3}, "target": "a"}, "answer": {"steps": [["l", "u + 9", 12], ["o", "l + 11", 23], ["f", "o + 9", 32], ["r", "f + 10", 42], ["q", "r + 2", 44], ["a", "q + 10", 54]], "target_var_name": "a", "target_value": 54, "value_dict": {"u": 3, "l": 12, "o": 23, "f": 32, "r": 42, "q": 44, "a": 54}, "is_reverse": false}} | 732 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = k + 12; u = 3; f = o + 9; n = u + 6; v = n + 15; l = u + 9; q = r + 2; a = q + 10; m = y + 8; y = v + 10; o = l + 11; r = f + 10; k = m + 17. Given that u = 3, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = u + 9, which gives l = 12.\n2. Compute o using o = l + 11, which gives o = 23.\n3. Compute f using f = o + 9, which gives f = 32.\n4. Compute r using r = f + 10, which gives r = 42.\n5. Compute q using q = r + 2, which gives q = 44.\n6. Compute a using a = q + 10, which gives a = 54.\n\nThus, the final answer is a = \\boxed{54}.",
"index": 732,
"question": "Suppose a collection of variables is related by the following definitions: b = k + 12; u = 3; f = o + 9; n = u + 6; v = n + 15; l = u + 9; q = r + 2; a = q + 10; m = y + 8; y = v + 10; o = l + 11; r = f + 10; k = m + 17. Given that u = 3, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"d": "k + 15", "n": "d + 19", "f": "n + 19", "x": "f + 19", "t": "x + 20", "l": "t + 12", "j": "k + 16", "a": "j + 14", "p": "a + 7", "h": "p + 7", "o": "h + 19", "v": "o + 20", "k": 8}, "premises": {"k": 8}, "target": "l"}, "answer": {"steps": [["d", "k + 15", 23], ["n", "d + 19", 42], ["f", "n + 19", 61], ["x", "f + 19", 80], ["t", "x + 20", 100], ["l", "t + 12", 112]], "target_var_name": "l", "target_value": 112, "value_dict": {"k": 8, "d": 23, "n": 42, "f": 61, "x": 80, "t": 100, "l": 112}, "is_reverse": false}} | 733 | 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 = k + 15; x = f + 19; k = 8; l = t + 12; o = h + 19; v = o + 20; f = n + 19; t = x + 20; h = p + 7; a = j + 14; p = a + 7; n = d + 19; j = k + 16. If k = 8, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 112,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = k + 15, which gives d = 23.\n2. Compute n using n = d + 19, which gives n = 42.\n3. Compute f using f = n + 19, which gives f = 61.\n4. Compute x using x = f + 19, which gives x = 80.\n5. Compute t using t = x + 20, which gives t = 100.\n6. Compute l using l = t + 12, which gives l = 112.\n\nThus, the final answer is l = \\boxed{112}.",
"index": 733,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = k + 15; x = f + 19; k = 8; l = t + 12; o = h + 19; v = o + 20; f = n + 19; t = x + 20; h = p + 7; a = j + 14; p = a + 7; n = d + 19; j = k + 16. If k = 8, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 14", "d": "h + 6", "c": "d + 10", "y": "c + 5", "i": "y + 14", "b": "i + 15", "f": "x + 4", "z": "f + 7", "r": "z + 8", "v": "r + 20", "s": "v + 19", "g": "s + 7", "x": 3}, "premises": {"x": 3}, "target": "b"}, "answer": {"steps": [["h", "x + 14", 17], ["d", "h + 6", 23], ["c", "d + 10", 33], ["y", "c + 5", 38], ["i", "y + 14", 52], ["b", "i + 15", 67]], "target_var_name": "b", "target_value": 67, "value_dict": {"x": 3, "h": 17, "d": 23, "c": 33, "y": 38, "i": 52, "b": 67}, "is_reverse": false}} | 734 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 8; x = 3; s = v + 19; f = x + 4; c = d + 10; h = x + 14; v = r + 20; i = y + 14; b = i + 15; d = h + 6; y = c + 5; g = s + 7; z = f + 7. If x = 3, what is the resulting 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 h using h = x + 14, which gives h = 17.\n2. Compute d using d = h + 6, which gives d = 23.\n3. Compute c using c = d + 10, which gives c = 33.\n4. Compute y using y = c + 5, which gives y = 38.\n5. Compute i using i = y + 14, which gives i = 52.\n6. Compute b using b = i + 15, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 734,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 8; x = 3; s = v + 19; f = x + 4; c = d + 10; h = x + 14; v = r + 20; i = y + 14; b = i + 15; d = h + 6; y = c + 5; g = s + 7; z = f + 7. If x = 3, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"u": "o + 14", "p": "u + 11", "g": "p + 11", "k": "g + 5", "b": "k + 8", "w": "b + 11", "m": "o + 15", "i": "m + 7", "z": "i + 17", "n": "z + 16", "d": "n + 14", "s": "d + 20", "o": 10}, "premises": {"o": 10}, "target": "w"}, "answer": {"steps": [["u", "o + 14", 24], ["p", "u + 11", 35], ["g", "p + 11", 46], ["k", "g + 5", 51], ["b", "k + 8", 59], ["w", "b + 11", 70]], "target_var_name": "w", "target_value": 70, "value_dict": {"o": 10, "u": 24, "p": 35, "g": 46, "k": 51, "b": 59, "w": 70}, "is_reverse": false}} | 735 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = n + 14; p = u + 11; z = i + 17; b = k + 8; n = z + 16; u = o + 14; i = m + 7; o = 10; k = g + 5; m = o + 15; w = b + 11; s = d + 20; g = p + 11. If o = 10, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = o + 14, which gives u = 24.\n2. Compute p using p = u + 11, which gives p = 35.\n3. Compute g using g = p + 11, which gives g = 46.\n4. Compute k using k = g + 5, which gives k = 51.\n5. Compute b using b = k + 8, which gives b = 59.\n6. Compute w using w = b + 11, which gives w = 70.\n\nThus, the final answer is w = \\boxed{70}.",
"index": 735,
"question": "Consider a system of variables where each variable is defined as follows: d = n + 14; p = u + 11; z = i + 17; b = k + 8; n = z + 16; u = o + 14; i = m + 7; o = 10; k = g + 5; m = o + 15; w = b + 11; s = d + 20; g = p + 11. If o = 10, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 19", "y": "d + 3", "m": "y + 5", "q": "m + 5", "c": "q + 13", "s": "c + 4", "r": "a + 6", "g": "r + 9", "x": "g + 7", "p": "x + 16", "e": "p + 8", "l": "e + 18", "a": 12}, "premises": {"a": 12}, "target": "s"}, "answer": {"steps": [["d", "a + 19", 31], ["y", "d + 3", 34], ["m", "y + 5", 39], ["q", "m + 5", 44], ["c", "q + 13", 57], ["s", "c + 4", 61]], "target_var_name": "s", "target_value": 61, "value_dict": {"a": 12, "d": 31, "y": 34, "m": 39, "q": 44, "c": 57, "s": 61}, "is_reverse": false}} | 736 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = c + 4; e = p + 8; y = d + 3; x = g + 7; r = a + 6; c = q + 13; m = y + 5; g = r + 9; d = a + 19; a = 12; p = x + 16; l = e + 18; q = m + 5. Given that a = 12, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = a + 19, which gives d = 31.\n2. Compute y using y = d + 3, which gives y = 34.\n3. Compute m using m = y + 5, which gives m = 39.\n4. Compute q using q = m + 5, which gives q = 44.\n5. Compute c using c = q + 13, which gives c = 57.\n6. Compute s using s = c + 4, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 736,
"question": "Suppose a collection of variables is related by the following definitions: s = c + 4; e = p + 8; y = d + 3; x = g + 7; r = a + 6; c = q + 13; m = y + 5; g = r + 9; d = a + 19; a = 12; p = x + 16; l = e + 18; q = m + 5. Given that a = 12, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 4", "w": "y + 20", "b": "w + 6", "z": "b + 7", "v": "z + 15", "x": "v + 13", "u": "s + 12", "i": "u + 11", "g": "i + 16", "t": "g + 16", "o": "t + 13", "q": "o + 8", "s": 12}, "premises": {"s": 12}, "target": "x"}, "answer": {"steps": [["y", "s + 4", 16], ["w", "y + 20", 36], ["b", "w + 6", 42], ["z", "b + 7", 49], ["v", "z + 15", 64], ["x", "v + 13", 77]], "target_var_name": "x", "target_value": 77, "value_dict": {"s": 12, "y": 16, "w": 36, "b": 42, "z": 49, "v": 64, "x": 77}, "is_reverse": false}} | 737 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = i + 16; q = o + 8; i = u + 11; u = s + 12; b = w + 6; y = s + 4; o = t + 13; w = y + 20; z = b + 7; s = 12; v = z + 15; x = v + 13; t = g + 16. Given that s = 12, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = s + 4, which gives y = 16.\n2. Compute w using w = y + 20, which gives w = 36.\n3. Compute b using b = w + 6, which gives b = 42.\n4. Compute z using z = b + 7, which gives z = 49.\n5. Compute v using v = z + 15, which gives v = 64.\n6. Compute x using x = v + 13, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 737,
"question": "Suppose a collection of variables is related by the following definitions: g = i + 16; q = o + 8; i = u + 11; u = s + 12; b = w + 6; y = s + 4; o = t + 13; w = y + 20; z = b + 7; s = 12; v = z + 15; x = v + 13; t = g + 16. Given that s = 12, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 14", "j": "h + 18", "u": "j + 5", "d": "u + 3", "p": "d + 14", "a": "p + 11", "w": "y + 20", "c": "w + 1", "e": "c + 16", "k": "e + 11", "v": "k + 14", "b": "v + 20", "y": 5}, "premises": {"y": 5}, "target": "a"}, "answer": {"steps": [["h", "y + 14", 19], ["j", "h + 18", 37], ["u", "j + 5", 42], ["d", "u + 3", 45], ["p", "d + 14", 59], ["a", "p + 11", 70]], "target_var_name": "a", "target_value": 70, "value_dict": {"y": 5, "h": 19, "j": 37, "u": 42, "d": 45, "p": 59, "a": 70}, "is_reverse": false}} | 738 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 11; v = k + 14; e = c + 16; h = y + 14; w = y + 20; d = u + 3; k = e + 11; c = w + 1; b = v + 20; j = h + 18; u = j + 5; y = 5; p = d + 14. If y = 5, what is the resulting 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 h using h = y + 14, which gives h = 19.\n2. Compute j using j = h + 18, which gives j = 37.\n3. Compute u using u = j + 5, which gives u = 42.\n4. Compute d using d = u + 3, which gives d = 45.\n5. Compute p using p = d + 14, which gives p = 59.\n6. Compute a using a = p + 11, which gives a = 70.\n\nThus, the final answer is a = \\boxed{70}.",
"index": 738,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 11; v = k + 14; e = c + 16; h = y + 14; w = y + 20; d = u + 3; k = e + 11; c = w + 1; b = v + 20; j = h + 18; u = j + 5; y = 5; p = d + 14. If y = 5, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 11", "b": "h + 19", "k": "b + 9", "y": "k + 13", "n": "y + 1", "j": "n + 2", "o": "v + 9", "d": "o + 11", "a": "d + 2", "t": "a + 18", "i": "t + 4", "c": "i + 4", "v": 3}, "premises": {"v": 3}, "target": "j"}, "answer": {"steps": [["h", "v + 11", 14], ["b", "h + 19", 33], ["k", "b + 9", 42], ["y", "k + 13", 55], ["n", "y + 1", 56], ["j", "n + 2", 58]], "target_var_name": "j", "target_value": 58, "value_dict": {"v": 3, "h": 14, "b": 33, "k": 42, "y": 55, "n": 56, "j": 58}, "is_reverse": false}} | 739 | 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 = o + 11; i = t + 4; b = h + 19; n = y + 1; c = i + 4; h = v + 11; k = b + 9; o = v + 9; a = d + 2; t = a + 18; v = 3; y = k + 13; j = n + 2. If v = 3, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = v + 11, which gives h = 14.\n2. Compute b using b = h + 19, which gives b = 33.\n3. Compute k using k = b + 9, which gives k = 42.\n4. Compute y using y = k + 13, which gives y = 55.\n5. Compute n using n = y + 1, which gives n = 56.\n6. Compute j using j = n + 2, which gives j = 58.\n\nThus, the final answer is j = \\boxed{58}.",
"index": 739,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 11; i = t + 4; b = h + 19; n = y + 1; c = i + 4; h = v + 11; k = b + 9; o = v + 9; a = d + 2; t = a + 18; v = 3; y = k + 13; j = n + 2. If v = 3, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 12", "n": "f + 2", "x": "n + 20", "r": "x + 19", "s": "r + 5", "o": "s + 7", "p": "a + 12", "j": "p + 17", "u": "j + 18", "w": "u + 5", "y": "w + 11", "g": "y + 8", "a": 4}, "premises": {"a": 4}, "target": "o"}, "answer": {"steps": [["f", "a + 12", 16], ["n", "f + 2", 18], ["x", "n + 20", 38], ["r", "x + 19", 57], ["s", "r + 5", 62], ["o", "s + 7", 69]], "target_var_name": "o", "target_value": 69, "value_dict": {"a": 4, "f": 16, "n": 18, "x": 38, "r": 57, "s": 62, "o": 69}, "is_reverse": false}} | 740 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = r + 5; a = 4; n = f + 2; x = n + 20; w = u + 5; g = y + 8; r = x + 19; u = j + 18; f = a + 12; o = s + 7; p = a + 12; y = w + 11; j = p + 17. If a = 4, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = a + 12, which gives f = 16.\n2. Compute n using n = f + 2, which gives n = 18.\n3. Compute x using x = n + 20, which gives x = 38.\n4. Compute r using r = x + 19, which gives r = 57.\n5. Compute s using s = r + 5, which gives s = 62.\n6. Compute o using o = s + 7, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 740,
"question": "Consider a system of variables where each variable is defined as follows: s = r + 5; a = 4; n = f + 2; x = n + 20; w = u + 5; g = y + 8; r = x + 19; u = j + 18; f = a + 12; o = s + 7; p = a + 12; y = w + 11; j = p + 17. If a = 4, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 4", "i": "a + 16", "r": "i + 20", "v": "r + 20", "b": "v + 18", "y": "b + 10", "m": "n + 15", "g": "m + 9", "o": "g + 16", "p": "o + 6", "u": "p + 10", "t": "u + 16", "n": 1}, "premises": {"n": 1}, "target": "y"}, "answer": {"steps": [["a", "n + 4", 5], ["i", "a + 16", 21], ["r", "i + 20", 41], ["v", "r + 20", 61], ["b", "v + 18", 79], ["y", "b + 10", 89]], "target_var_name": "y", "target_value": 89, "value_dict": {"n": 1, "a": 5, "i": 21, "r": 41, "v": 61, "b": 79, "y": 89}, "is_reverse": false}} | 741 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = m + 9; n = 1; u = p + 10; p = o + 6; v = r + 20; i = a + 16; y = b + 10; r = i + 20; m = n + 15; t = u + 16; b = v + 18; o = g + 16; a = n + 4. If n = 1, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = n + 4, which gives a = 5.\n2. Compute i using i = a + 16, which gives i = 21.\n3. Compute r using r = i + 20, which gives r = 41.\n4. Compute v using v = r + 20, which gives v = 61.\n5. Compute b using b = v + 18, which gives b = 79.\n6. Compute y using y = b + 10, which gives y = 89.\n\nThus, the final answer is y = \\boxed{89}.",
"index": 741,
"question": "Consider a system of variables where each variable is defined as follows: g = m + 9; n = 1; u = p + 10; p = o + 6; v = r + 20; i = a + 16; y = b + 10; r = i + 20; m = n + 15; t = u + 16; b = v + 18; o = g + 16; a = n + 4. If n = 1, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "w + 13", "x": "k + 9", "g": "x + 17", "l": "g + 13", "c": "l + 2", "j": "c + 19", "m": "w + 19", "v": "m + 1", "r": "v + 18", "p": "r + 9", "h": "p + 17", "t": "h + 16", "w": 20}, "premises": {"w": 20}, "target": "j"}, "answer": {"steps": [["k", "w + 13", 33], ["x", "k + 9", 42], ["g", "x + 17", 59], ["l", "g + 13", 72], ["c", "l + 2", 74], ["j", "c + 19", 93]], "target_var_name": "j", "target_value": 93, "value_dict": {"w": 20, "k": 33, "x": 42, "g": 59, "l": 72, "c": 74, "j": 93}, "is_reverse": false}} | 742 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = m + 1; k = w + 13; t = h + 16; x = k + 9; g = x + 17; w = 20; p = r + 9; h = p + 17; l = g + 13; c = l + 2; m = w + 19; r = v + 18; j = c + 19. If w = 20, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = w + 13, which gives k = 33.\n2. Compute x using x = k + 9, which gives x = 42.\n3. Compute g using g = x + 17, which gives g = 59.\n4. Compute l using l = g + 13, which gives l = 72.\n5. Compute c using c = l + 2, which gives c = 74.\n6. Compute j using j = c + 19, which gives j = 93.\n\nThus, the final answer is j = \\boxed{93}.",
"index": 742,
"question": "Consider a system of variables where each variable is defined as follows: v = m + 1; k = w + 13; t = h + 16; x = k + 9; g = x + 17; w = 20; p = r + 9; h = p + 17; l = g + 13; c = l + 2; m = w + 19; r = v + 18; j = c + 19. If w = 20, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 13", "f": "d + 8", "r": "f + 5", "y": "r + 19", "q": "y + 14", "x": "q + 14", "j": "v + 12", "t": "j + 4", "w": "t + 11", "s": "w + 3", "m": "s + 3", "c": "m + 18", "v": 13}, "premises": {"v": 13}, "target": "x"}, "answer": {"steps": [["d", "v + 13", 26], ["f", "d + 8", 34], ["r", "f + 5", 39], ["y", "r + 19", 58], ["q", "y + 14", 72], ["x", "q + 14", 86]], "target_var_name": "x", "target_value": 86, "value_dict": {"v": 13, "d": 26, "f": 34, "r": 39, "y": 58, "q": 72, "x": 86}, "is_reverse": false}} | 743 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = j + 4; q = y + 14; x = q + 14; f = d + 8; y = r + 19; s = w + 3; w = t + 11; r = f + 5; d = v + 13; m = s + 3; c = m + 18; j = v + 12; v = 13. If v = 13, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = v + 13, which gives d = 26.\n2. Compute f using f = d + 8, which gives f = 34.\n3. Compute r using r = f + 5, which gives r = 39.\n4. Compute y using y = r + 19, which gives y = 58.\n5. Compute q using q = y + 14, which gives q = 72.\n6. Compute x using x = q + 14, which gives x = 86.\n\nThus, the final answer is x = \\boxed{86}.",
"index": 743,
"question": "Consider a system of variables where each variable is defined as follows: t = j + 4; q = y + 14; x = q + 14; f = d + 8; y = r + 19; s = w + 3; w = t + 11; r = f + 5; d = v + 13; m = s + 3; c = m + 18; j = v + 12; v = 13. If v = 13, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"l": "d + 16", "w": "l + 16", "q": "w + 11", "y": "q + 1", "v": "y + 8", "f": "v + 7", "o": "d + 13", "z": "o + 14", "s": "z + 15", "i": "s + 16", "j": "i + 9", "p": "j + 16", "d": 16}, "premises": {"d": 16}, "target": "f"}, "answer": {"steps": [["l", "d + 16", 32], ["w", "l + 16", 48], ["q", "w + 11", 59], ["y", "q + 1", 60], ["v", "y + 8", 68], ["f", "v + 7", 75]], "target_var_name": "f", "target_value": 75, "value_dict": {"d": 16, "l": 32, "w": 48, "q": 59, "y": 60, "v": 68, "f": 75}, "is_reverse": false}} | 744 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = s + 16; z = o + 14; y = q + 1; v = y + 8; p = j + 16; o = d + 13; j = i + 9; d = 16; l = d + 16; q = w + 11; w = l + 16; f = v + 7; s = z + 15. If d = 16, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = d + 16, which gives l = 32.\n2. Compute w using w = l + 16, which gives w = 48.\n3. Compute q using q = w + 11, which gives q = 59.\n4. Compute y using y = q + 1, which gives y = 60.\n5. Compute v using v = y + 8, which gives v = 68.\n6. Compute f using f = v + 7, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 744,
"question": "Consider a system of variables where each variable is defined as follows: i = s + 16; z = o + 14; y = q + 1; v = y + 8; p = j + 16; o = d + 13; j = i + 9; d = 16; l = d + 16; q = w + 11; w = l + 16; f = v + 7; s = z + 15. If d = 16, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 18", "m": "r + 10", "p": "m + 18", "x": "p + 3", "z": "x + 15", "b": "z + 8", "q": "w + 4", "y": "q + 4", "s": "y + 19", "v": "s + 3", "u": "v + 2", "i": "u + 13", "w": 4}, "premises": {"w": 4}, "target": "b"}, "answer": {"steps": [["r", "w + 18", 22], ["m", "r + 10", 32], ["p", "m + 18", 50], ["x", "p + 3", 53], ["z", "x + 15", 68], ["b", "z + 8", 76]], "target_var_name": "b", "target_value": 76, "value_dict": {"w": 4, "r": 22, "m": 32, "p": 50, "x": 53, "z": 68, "b": 76}, "is_reverse": false}} | 745 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = p + 3; w = 4; p = m + 18; y = q + 4; z = x + 15; s = y + 19; u = v + 2; r = w + 18; q = w + 4; m = r + 10; v = s + 3; i = u + 13; b = z + 8. If w = 4, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = w + 18, which gives r = 22.\n2. Compute m using m = r + 10, which gives m = 32.\n3. Compute p using p = m + 18, which gives p = 50.\n4. Compute x using x = p + 3, which gives x = 53.\n5. Compute z using z = x + 15, which gives z = 68.\n6. Compute b using b = z + 8, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 745,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = p + 3; w = 4; p = m + 18; y = q + 4; z = x + 15; s = y + 19; u = v + 2; r = w + 18; q = w + 4; m = r + 10; v = s + 3; i = u + 13; b = z + 8. If w = 4, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"y": "q + 8", "w": "y + 14", "f": "w + 2", "l": "f + 2", "k": "l + 17", "b": "k + 8", "s": "q + 6", "c": "s + 17", "v": "c + 10", "o": "v + 6", "i": "o + 16", "n": "i + 15", "q": 18}, "premises": {"q": 18}, "target": "b"}, "answer": {"steps": [["y", "q + 8", 26], ["w", "y + 14", 40], ["f", "w + 2", 42], ["l", "f + 2", 44], ["k", "l + 17", 61], ["b", "k + 8", 69]], "target_var_name": "b", "target_value": 69, "value_dict": {"q": 18, "y": 26, "w": 40, "f": 42, "l": 44, "k": 61, "b": 69}, "is_reverse": false}} | 746 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = i + 15; v = c + 10; y = q + 8; o = v + 6; q = 18; l = f + 2; i = o + 16; w = y + 14; c = s + 17; s = q + 6; k = l + 17; b = k + 8; f = w + 2. Given that q = 18, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = q + 8, which gives y = 26.\n2. Compute w using w = y + 14, which gives w = 40.\n3. Compute f using f = w + 2, which gives f = 42.\n4. Compute l using l = f + 2, which gives l = 44.\n5. Compute k using k = l + 17, which gives k = 61.\n6. Compute b using b = k + 8, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 746,
"question": "Suppose a collection of variables is related by the following definitions: n = i + 15; v = c + 10; y = q + 8; o = v + 6; q = 18; l = f + 2; i = o + 16; w = y + 14; c = s + 17; s = q + 6; k = l + 17; b = k + 8; f = w + 2. Given that q = 18, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 15", "g": "q + 8", "y": "g + 1", "p": "y + 13", "m": "p + 8", "o": "m + 18", "z": "r + 12", "h": "z + 14", "v": "h + 12", "e": "v + 19", "l": "e + 15", "j": "l + 19", "r": 2}, "premises": {"r": 2}, "target": "o"}, "answer": {"steps": [["q", "r + 15", 17], ["g", "q + 8", 25], ["y", "g + 1", 26], ["p", "y + 13", 39], ["m", "p + 8", 47], ["o", "m + 18", 65]], "target_var_name": "o", "target_value": 65, "value_dict": {"r": 2, "q": 17, "g": 25, "y": 26, "p": 39, "m": 47, "o": 65}, "is_reverse": false}} | 747 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = z + 14; q = r + 15; r = 2; v = h + 12; y = g + 1; o = m + 18; j = l + 19; m = p + 8; g = q + 8; z = r + 12; l = e + 15; e = v + 19; p = y + 13. Given that r = 2, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = r + 15, which gives q = 17.\n2. Compute g using g = q + 8, which gives g = 25.\n3. Compute y using y = g + 1, which gives y = 26.\n4. Compute p using p = y + 13, which gives p = 39.\n5. Compute m using m = p + 8, which gives m = 47.\n6. Compute o using o = m + 18, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 747,
"question": "Suppose a collection of variables is related by the following definitions: h = z + 14; q = r + 15; r = 2; v = h + 12; y = g + 1; o = m + 18; j = l + 19; m = p + 8; g = q + 8; z = r + 12; l = e + 15; e = v + 19; p = y + 13. Given that r = 2, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"p": "f + 12", "e": "p + 16", "a": "e + 19", "t": "a + 12", "x": "t + 20", "z": "x + 6", "m": "f + 7", "n": "m + 4", "s": "n + 13", "d": "s + 7", "i": "d + 5", "b": "i + 3", "f": 3}, "premises": {"f": 3}, "target": "z"}, "answer": {"steps": [["p", "f + 12", 15], ["e", "p + 16", 31], ["a", "e + 19", 50], ["t", "a + 12", 62], ["x", "t + 20", 82], ["z", "x + 6", 88]], "target_var_name": "z", "target_value": 88, "value_dict": {"f": 3, "p": 15, "e": 31, "a": 50, "t": 62, "x": 82, "z": 88}, "is_reverse": false}} | 748 | 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 = d + 5; m = f + 7; a = e + 19; n = m + 4; s = n + 13; e = p + 16; f = 3; b = i + 3; z = x + 6; x = t + 20; p = f + 12; d = s + 7; t = a + 12. If f = 3, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = f + 12, which gives p = 15.\n2. Compute e using e = p + 16, which gives e = 31.\n3. Compute a using a = e + 19, which gives a = 50.\n4. Compute t using t = a + 12, which gives t = 62.\n5. Compute x using x = t + 20, which gives x = 82.\n6. Compute z using z = x + 6, which gives z = 88.\n\nThus, the final answer is z = \\boxed{88}.",
"index": 748,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 5; m = f + 7; a = e + 19; n = m + 4; s = n + 13; e = p + 16; f = 3; b = i + 3; z = x + 6; x = t + 20; p = f + 12; d = s + 7; t = a + 12. If f = 3, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 10", "s": "n + 1", "u": "s + 14", "v": "u + 20", "f": "v + 13", "j": "f + 9", "c": "g + 11", "a": "c + 2", "o": "a + 2", "e": "o + 9", "l": "e + 20", "w": "l + 10", "g": 8}, "premises": {"g": 8}, "target": "j"}, "answer": {"steps": [["n", "g + 10", 18], ["s", "n + 1", 19], ["u", "s + 14", 33], ["v", "u + 20", 53], ["f", "v + 13", 66], ["j", "f + 9", 75]], "target_var_name": "j", "target_value": 75, "value_dict": {"g": 8, "n": 18, "s": 19, "u": 33, "v": 53, "f": 66, "j": 75}, "is_reverse": false}} | 749 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = u + 20; a = c + 2; c = g + 11; j = f + 9; o = a + 2; n = g + 10; g = 8; e = o + 9; s = n + 1; w = l + 10; u = s + 14; l = e + 20; f = v + 13. If g = 8, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = g + 10, which gives n = 18.\n2. Compute s using s = n + 1, which gives s = 19.\n3. Compute u using u = s + 14, which gives u = 33.\n4. Compute v using v = u + 20, which gives v = 53.\n5. Compute f using f = v + 13, which gives f = 66.\n6. Compute j using j = f + 9, which gives j = 75.\n\nThus, the final answer is j = \\boxed{75}.",
"index": 749,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = u + 20; a = c + 2; c = g + 11; j = f + 9; o = a + 2; n = g + 10; g = 8; e = o + 9; s = n + 1; w = l + 10; u = s + 14; l = e + 20; f = v + 13. If g = 8, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 14", "o": "v + 13", "e": "o + 10", "w": "e + 17", "i": "w + 12", "b": "i + 1", "y": "l + 11", "k": "y + 20", "x": "k + 3", "q": "x + 13", "z": "q + 18", "p": "z + 15", "l": 12}, "premises": {"l": 12}, "target": "b"}, "answer": {"steps": [["v", "l + 14", 26], ["o", "v + 13", 39], ["e", "o + 10", 49], ["w", "e + 17", 66], ["i", "w + 12", 78], ["b", "i + 1", 79]], "target_var_name": "b", "target_value": 79, "value_dict": {"l": 12, "v": 26, "o": 39, "e": 49, "w": 66, "i": 78, "b": 79}, "is_reverse": false}} | 750 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = i + 1; p = z + 15; i = w + 12; v = l + 14; x = k + 3; w = e + 17; l = 12; y = l + 11; e = o + 10; k = y + 20; z = q + 18; q = x + 13; o = v + 13. Given that l = 12, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = l + 14, which gives v = 26.\n2. Compute o using o = v + 13, which gives o = 39.\n3. Compute e using e = o + 10, which gives e = 49.\n4. Compute w using w = e + 17, which gives w = 66.\n5. Compute i using i = w + 12, which gives i = 78.\n6. Compute b using b = i + 1, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 750,
"question": "Suppose a collection of variables is related by the following definitions: b = i + 1; p = z + 15; i = w + 12; v = l + 14; x = k + 3; w = e + 17; l = 12; y = l + 11; e = o + 10; k = y + 20; z = q + 18; q = x + 13; o = v + 13. Given that l = 12, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 16", "d": "o + 20", "p": "d + 3", "q": "p + 12", "e": "q + 3", "r": "e + 10", "h": "m + 8", "f": "h + 5", "a": "f + 19", "b": "a + 19", "v": "b + 19", "l": "v + 2", "m": 12}, "premises": {"m": 12}, "target": "r"}, "answer": {"steps": [["o", "m + 16", 28], ["d", "o + 20", 48], ["p", "d + 3", 51], ["q", "p + 12", 63], ["e", "q + 3", 66], ["r", "e + 10", 76]], "target_var_name": "r", "target_value": 76, "value_dict": {"m": 12, "o": 28, "d": 48, "p": 51, "q": 63, "e": 66, "r": 76}, "is_reverse": false}} | 751 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = h + 5; h = m + 8; o = m + 16; l = v + 2; e = q + 3; v = b + 19; d = o + 20; p = d + 3; q = p + 12; m = 12; r = e + 10; b = a + 19; a = f + 19. Given that m = 12, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = m + 16, which gives o = 28.\n2. Compute d using d = o + 20, which gives d = 48.\n3. Compute p using p = d + 3, which gives p = 51.\n4. Compute q using q = p + 12, which gives q = 63.\n5. Compute e using e = q + 3, which gives e = 66.\n6. Compute r using r = e + 10, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 751,
"question": "Suppose a collection of variables is related by the following definitions: f = h + 5; h = m + 8; o = m + 16; l = v + 2; e = q + 3; v = b + 19; d = o + 20; p = d + 3; q = p + 12; m = 12; r = e + 10; b = a + 19; a = f + 19. Given that m = 12, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 7", "a": "k + 10", "e": "a + 11", "o": "e + 18", "u": "o + 16", "g": "u + 20", "t": "y + 3", "q": "t + 14", "c": "q + 10", "l": "c + 10", "m": "l + 4", "x": "m + 16", "y": 12}, "premises": {"y": 12}, "target": "g"}, "answer": {"steps": [["k", "y + 7", 19], ["a", "k + 10", 29], ["e", "a + 11", 40], ["o", "e + 18", 58], ["u", "o + 16", 74], ["g", "u + 20", 94]], "target_var_name": "g", "target_value": 94, "value_dict": {"y": 12, "k": 19, "a": 29, "e": 40, "o": 58, "u": 74, "g": 94}, "is_reverse": false}} | 752 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = y + 7; t = y + 3; a = k + 10; g = u + 20; l = c + 10; m = l + 4; x = m + 16; c = q + 10; e = a + 11; y = 12; q = t + 14; o = e + 18; u = o + 16. If y = 12, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = y + 7, which gives k = 19.\n2. Compute a using a = k + 10, which gives a = 29.\n3. Compute e using e = a + 11, which gives e = 40.\n4. Compute o using o = e + 18, which gives o = 58.\n5. Compute u using u = o + 16, which gives u = 74.\n6. Compute g using g = u + 20, which gives g = 94.\n\nThus, the final answer is g = \\boxed{94}.",
"index": 752,
"question": "Consider a system of variables where each variable is defined as follows: k = y + 7; t = y + 3; a = k + 10; g = u + 20; l = c + 10; m = l + 4; x = m + 16; c = q + 10; e = a + 11; y = 12; q = t + 14; o = e + 18; u = o + 16. If y = 12, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"q": "l + 15", "m": "q + 16", "t": "m + 2", "r": "t + 9", "z": "r + 7", "k": "z + 9", "d": "l + 12", "j": "d + 7", "s": "j + 12", "x": "s + 16", "n": "x + 14", "f": "n + 20", "l": 5}, "premises": {"l": 5}, "target": "k"}, "answer": {"steps": [["q", "l + 15", 20], ["m", "q + 16", 36], ["t", "m + 2", 38], ["r", "t + 9", 47], ["z", "r + 7", 54], ["k", "z + 9", 63]], "target_var_name": "k", "target_value": 63, "value_dict": {"l": 5, "q": 20, "m": 36, "t": 38, "r": 47, "z": 54, "k": 63}, "is_reverse": false}} | 753 | 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 = z + 9; j = d + 7; d = l + 12; n = x + 14; s = j + 12; z = r + 7; l = 5; m = q + 16; f = n + 20; t = m + 2; x = s + 16; q = l + 15; r = t + 9. If l = 5, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = l + 15, which gives q = 20.\n2. Compute m using m = q + 16, which gives m = 36.\n3. Compute t using t = m + 2, which gives t = 38.\n4. Compute r using r = t + 9, which gives r = 47.\n5. Compute z using z = r + 7, which gives z = 54.\n6. Compute k using k = z + 9, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 753,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 9; j = d + 7; d = l + 12; n = x + 14; s = j + 12; z = r + 7; l = 5; m = q + 16; f = n + 20; t = m + 2; x = s + 16; q = l + 15; r = t + 9. If l = 5, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 3", "h": "o + 16", "g": "h + 7", "b": "g + 12", "v": "b + 19", "f": "v + 6", "k": "j + 11", "z": "k + 9", "c": "z + 14", "a": "c + 13", "r": "a + 3", "e": "r + 12", "j": 8}, "premises": {"j": 8}, "target": "f"}, "answer": {"steps": [["o", "j + 3", 11], ["h", "o + 16", 27], ["g", "h + 7", 34], ["b", "g + 12", 46], ["v", "b + 19", 65], ["f", "v + 6", 71]], "target_var_name": "f", "target_value": 71, "value_dict": {"j": 8, "o": 11, "h": 27, "g": 34, "b": 46, "v": 65, "f": 71}, "is_reverse": false}} | 754 | 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 + 11; j = 8; o = j + 3; b = g + 12; g = h + 7; v = b + 19; c = z + 14; a = c + 13; e = r + 12; r = a + 3; h = o + 16; f = v + 6; z = k + 9. If j = 8, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = j + 3, which gives o = 11.\n2. Compute h using h = o + 16, which gives h = 27.\n3. Compute g using g = h + 7, which gives g = 34.\n4. Compute b using b = g + 12, which gives b = 46.\n5. Compute v using v = b + 19, which gives v = 65.\n6. Compute f using f = v + 6, which gives f = 71.\n\nThus, the final answer is f = \\boxed{71}.",
"index": 754,
"question": "Consider a system of variables where each variable is defined as follows: k = j + 11; j = 8; o = j + 3; b = g + 12; g = h + 7; v = b + 19; c = z + 14; a = c + 13; e = r + 12; r = a + 3; h = o + 16; f = v + 6; z = k + 9. If j = 8, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 15", "s": "o + 1", "h": "s + 18", "j": "h + 12", "m": "j + 2", "e": "m + 7", "n": "g + 4", "t": "n + 4", "a": "t + 20", "u": "a + 17", "k": "u + 11", "x": "k + 15", "g": 14}, "premises": {"g": 14}, "target": "e"}, "answer": {"steps": [["o", "g + 15", 29], ["s", "o + 1", 30], ["h", "s + 18", 48], ["j", "h + 12", 60], ["m", "j + 2", 62], ["e", "m + 7", 69]], "target_var_name": "e", "target_value": 69, "value_dict": {"g": 14, "o": 29, "s": 30, "h": 48, "j": 60, "m": 62, "e": 69}, "is_reverse": false}} | 755 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = g + 15; t = n + 4; k = u + 11; x = k + 15; e = m + 7; n = g + 4; m = j + 2; s = o + 1; a = t + 20; u = a + 17; h = s + 18; j = h + 12; g = 14. Given that g = 14, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = g + 15, which gives o = 29.\n2. Compute s using s = o + 1, which gives s = 30.\n3. Compute h using h = s + 18, which gives h = 48.\n4. Compute j using j = h + 12, which gives j = 60.\n5. Compute m using m = j + 2, which gives m = 62.\n6. Compute e using e = m + 7, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 755,
"question": "Suppose a collection of variables is related by the following definitions: o = g + 15; t = n + 4; k = u + 11; x = k + 15; e = m + 7; n = g + 4; m = j + 2; s = o + 1; a = t + 20; u = a + 17; h = s + 18; j = h + 12; g = 14. Given that g = 14, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"j": "s + 13", "i": "j + 13", "w": "i + 1", "o": "w + 15", "r": "o + 16", "d": "r + 1", "u": "s + 20", "f": "u + 2", "q": "f + 5", "a": "q + 12", "v": "a + 5", "y": "v + 18", "s": 19}, "premises": {"s": 19}, "target": "d"}, "answer": {"steps": [["j", "s + 13", 32], ["i", "j + 13", 45], ["w", "i + 1", 46], ["o", "w + 15", 61], ["r", "o + 16", 77], ["d", "r + 1", 78]], "target_var_name": "d", "target_value": 78, "value_dict": {"s": 19, "j": 32, "i": 45, "w": 46, "o": 61, "r": 77, "d": 78}, "is_reverse": false}} | 756 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = q + 12; u = s + 20; d = r + 1; q = f + 5; y = v + 18; i = j + 13; v = a + 5; r = o + 16; j = s + 13; w = i + 1; f = u + 2; o = w + 15; s = 19. If s = 19, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = s + 13, which gives j = 32.\n2. Compute i using i = j + 13, which gives i = 45.\n3. Compute w using w = i + 1, which gives w = 46.\n4. Compute o using o = w + 15, which gives o = 61.\n5. Compute r using r = o + 16, which gives r = 77.\n6. Compute d using d = r + 1, which gives d = 78.\n\nThus, the final answer is d = \\boxed{78}.",
"index": 756,
"question": "Consider a system of variables where each variable is defined as follows: a = q + 12; u = s + 20; d = r + 1; q = f + 5; y = v + 18; i = j + 13; v = a + 5; r = o + 16; j = s + 13; w = i + 1; f = u + 2; o = w + 15; s = 19. If s = 19, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 14", "a": "w + 12", "d": "a + 14", "m": "d + 9", "s": "m + 16", "n": "s + 6", "i": "u + 20", "t": "i + 11", "r": "t + 19", "k": "r + 9", "f": "k + 4", "g": "f + 14", "u": 18}, "premises": {"u": 18}, "target": "n"}, "answer": {"steps": [["w", "u + 14", 32], ["a", "w + 12", 44], ["d", "a + 14", 58], ["m", "d + 9", 67], ["s", "m + 16", 83], ["n", "s + 6", 89]], "target_var_name": "n", "target_value": 89, "value_dict": {"u": 18, "w": 32, "a": 44, "d": 58, "m": 67, "s": 83, "n": 89}, "is_reverse": false}} | 757 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = f + 14; n = s + 6; a = w + 12; u = 18; s = m + 16; r = t + 19; k = r + 9; d = a + 14; i = u + 20; m = d + 9; t = i + 11; f = k + 4; w = u + 14. If u = 18, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = u + 14, which gives w = 32.\n2. Compute a using a = w + 12, which gives a = 44.\n3. Compute d using d = a + 14, which gives d = 58.\n4. Compute m using m = d + 9, which gives m = 67.\n5. Compute s using s = m + 16, which gives s = 83.\n6. Compute n using n = s + 6, which gives n = 89.\n\nThus, the final answer is n = \\boxed{89}.",
"index": 757,
"question": "Consider a system of variables where each variable is defined as follows: g = f + 14; n = s + 6; a = w + 12; u = 18; s = m + 16; r = t + 19; k = r + 9; d = a + 14; i = u + 20; m = d + 9; t = i + 11; f = k + 4; w = u + 14. If u = 18, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 17", "c": "w + 11", "d": "c + 8", "t": "d + 13", "j": "t + 7", "r": "j + 17", "x": "p + 13", "s": "x + 19", "i": "s + 2", "v": "i + 4", "k": "v + 15", "o": "k + 9", "p": 16}, "premises": {"p": 16}, "target": "r"}, "answer": {"steps": [["w", "p + 17", 33], ["c", "w + 11", 44], ["d", "c + 8", 52], ["t", "d + 13", 65], ["j", "t + 7", 72], ["r", "j + 17", 89]], "target_var_name": "r", "target_value": 89, "value_dict": {"p": 16, "w": 33, "c": 44, "d": 52, "t": 65, "j": 72, "r": 89}, "is_reverse": false}} | 758 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = 16; x = p + 13; s = x + 19; r = j + 17; v = i + 4; k = v + 15; c = w + 11; d = c + 8; j = t + 7; t = d + 13; o = k + 9; i = s + 2; w = p + 17. If p = 16, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = p + 17, which gives w = 33.\n2. Compute c using c = w + 11, which gives c = 44.\n3. Compute d using d = c + 8, which gives d = 52.\n4. Compute t using t = d + 13, which gives t = 65.\n5. Compute j using j = t + 7, which gives j = 72.\n6. Compute r using r = j + 17, which gives r = 89.\n\nThus, the final answer is r = \\boxed{89}.",
"index": 758,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = 16; x = p + 13; s = x + 19; r = j + 17; v = i + 4; k = v + 15; c = w + 11; d = c + 8; j = t + 7; t = d + 13; o = k + 9; i = s + 2; w = p + 17. If p = 16, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 15", "j": "m + 2", "h": "j + 13", "w": "h + 4", "b": "w + 10", "v": "b + 17", "x": "e + 7", "g": "x + 8", "z": "g + 17", "q": "z + 20", "y": "q + 7", "o": "y + 14", "e": 11}, "premises": {"e": 11}, "target": "v"}, "answer": {"steps": [["m", "e + 15", 26], ["j", "m + 2", 28], ["h", "j + 13", 41], ["w", "h + 4", 45], ["b", "w + 10", 55], ["v", "b + 17", 72]], "target_var_name": "v", "target_value": 72, "value_dict": {"e": 11, "m": 26, "j": 28, "h": 41, "w": 45, "b": 55, "v": 72}, "is_reverse": false}} | 759 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = z + 20; e = 11; y = q + 7; z = g + 17; v = b + 17; m = e + 15; o = y + 14; b = w + 10; j = m + 2; w = h + 4; x = e + 7; h = j + 13; g = x + 8. If e = 11, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = e + 15, which gives m = 26.\n2. Compute j using j = m + 2, which gives j = 28.\n3. Compute h using h = j + 13, which gives h = 41.\n4. Compute w using w = h + 4, which gives w = 45.\n5. Compute b using b = w + 10, which gives b = 55.\n6. Compute v using v = b + 17, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 759,
"question": "Consider a system of variables where each variable is defined as follows: q = z + 20; e = 11; y = q + 7; z = g + 17; v = b + 17; m = e + 15; o = y + 14; b = w + 10; j = m + 2; w = h + 4; x = e + 7; h = j + 13; g = x + 8. If e = 11, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 17", "e": "d + 20", "l": "e + 19", "f": "l + 19", "y": "f + 9", "v": "y + 8", "k": "h + 2", "t": "k + 4", "m": "t + 10", "a": "m + 13", "w": "a + 5", "q": "w + 6", "h": 8}, "premises": {"h": 8}, "target": "v"}, "answer": {"steps": [["d", "h + 17", 25], ["e", "d + 20", 45], ["l", "e + 19", 64], ["f", "l + 19", 83], ["y", "f + 9", 92], ["v", "y + 8", 100]], "target_var_name": "v", "target_value": 100, "value_dict": {"h": 8, "d": 25, "e": 45, "l": 64, "f": 83, "y": 92, "v": 100}, "is_reverse": false}} | 760 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = h + 2; h = 8; d = h + 17; y = f + 9; f = l + 19; e = d + 20; m = t + 10; l = e + 19; t = k + 4; w = a + 5; q = w + 6; a = m + 13; v = y + 8. Given that h = 8, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = h + 17, which gives d = 25.\n2. Compute e using e = d + 20, which gives e = 45.\n3. Compute l using l = e + 19, which gives l = 64.\n4. Compute f using f = l + 19, which gives f = 83.\n5. Compute y using y = f + 9, which gives y = 92.\n6. Compute v using v = y + 8, which gives v = 100.\n\nThus, the final answer is v = \\boxed{100}.",
"index": 760,
"question": "Suppose a collection of variables is related by the following definitions: k = h + 2; h = 8; d = h + 17; y = f + 9; f = l + 19; e = d + 20; m = t + 10; l = e + 19; t = k + 4; w = a + 5; q = w + 6; a = m + 13; v = y + 8. Given that h = 8, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 10", "b": "x + 13", "q": "b + 14", "r": "q + 20", "m": "r + 3", "j": "m + 5", "z": "f + 6", "o": "z + 8", "e": "o + 9", "h": "e + 20", "t": "h + 7", "w": "t + 1", "f": 15}, "premises": {"f": 15}, "target": "j"}, "answer": {"steps": [["x", "f + 10", 25], ["b", "x + 13", 38], ["q", "b + 14", 52], ["r", "q + 20", 72], ["m", "r + 3", 75], ["j", "m + 5", 80]], "target_var_name": "j", "target_value": 80, "value_dict": {"f": 15, "x": 25, "b": 38, "q": 52, "r": 72, "m": 75, "j": 80}, "is_reverse": false}} | 761 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = b + 14; f = 15; j = m + 5; z = f + 6; t = h + 7; x = f + 10; w = t + 1; b = x + 13; e = o + 9; r = q + 20; h = e + 20; m = r + 3; o = z + 8. Given that f = 15, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = f + 10, which gives x = 25.\n2. Compute b using b = x + 13, which gives b = 38.\n3. Compute q using q = b + 14, which gives q = 52.\n4. Compute r using r = q + 20, which gives r = 72.\n5. Compute m using m = r + 3, which gives m = 75.\n6. Compute j using j = m + 5, which gives j = 80.\n\nThus, the final answer is j = \\boxed{80}.",
"index": 761,
"question": "Suppose a collection of variables is related by the following definitions: q = b + 14; f = 15; j = m + 5; z = f + 6; t = h + 7; x = f + 10; w = t + 1; b = x + 13; e = o + 9; r = q + 20; h = e + 20; m = r + 3; o = z + 8. Given that f = 15, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 13", "d": "v + 16", "g": "d + 18", "h": "g + 13", "r": "h + 3", "a": "r + 3", "j": "i + 4", "f": "j + 3", "l": "f + 18", "o": "l + 2", "p": "o + 16", "s": "p + 1", "i": 3}, "premises": {"i": 3}, "target": "a"}, "answer": {"steps": [["v", "i + 13", 16], ["d", "v + 16", 32], ["g", "d + 18", 50], ["h", "g + 13", 63], ["r", "h + 3", 66], ["a", "r + 3", 69]], "target_var_name": "a", "target_value": 69, "value_dict": {"i": 3, "v": 16, "d": 32, "g": 50, "h": 63, "r": 66, "a": 69}, "is_reverse": false}} | 762 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = j + 3; a = r + 3; r = h + 3; p = o + 16; d = v + 16; l = f + 18; i = 3; v = i + 13; s = p + 1; o = l + 2; j = i + 4; h = g + 13; g = d + 18. If i = 3, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = i + 13, which gives v = 16.\n2. Compute d using d = v + 16, which gives d = 32.\n3. Compute g using g = d + 18, which gives g = 50.\n4. Compute h using h = g + 13, which gives h = 63.\n5. Compute r using r = h + 3, which gives r = 66.\n6. Compute a using a = r + 3, which gives a = 69.\n\nThus, the final answer is a = \\boxed{69}.",
"index": 762,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = j + 3; a = r + 3; r = h + 3; p = o + 16; d = v + 16; l = f + 18; i = 3; v = i + 13; s = p + 1; o = l + 2; j = i + 4; h = g + 13; g = d + 18. If i = 3, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 15", "p": "o + 7", "q": "p + 10", "u": "q + 18", "i": "u + 19", "d": "i + 9", "r": "g + 5", "s": "r + 3", "w": "s + 20", "m": "w + 3", "f": "m + 19", "b": "f + 19", "g": 3}, "premises": {"g": 3}, "target": "d"}, "answer": {"steps": [["o", "g + 15", 18], ["p", "o + 7", 25], ["q", "p + 10", 35], ["u", "q + 18", 53], ["i", "u + 19", 72], ["d", "i + 9", 81]], "target_var_name": "d", "target_value": 81, "value_dict": {"g": 3, "o": 18, "p": 25, "q": 35, "u": 53, "i": 72, "d": 81}, "is_reverse": false}} | 763 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = g + 5; w = s + 20; i = u + 19; q = p + 10; s = r + 3; u = q + 18; d = i + 9; b = f + 19; p = o + 7; g = 3; m = w + 3; o = g + 15; f = m + 19. If g = 3, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = g + 15, which gives o = 18.\n2. Compute p using p = o + 7, which gives p = 25.\n3. Compute q using q = p + 10, which gives q = 35.\n4. Compute u using u = q + 18, which gives u = 53.\n5. Compute i using i = u + 19, which gives i = 72.\n6. Compute d using d = i + 9, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 763,
"question": "Consider a system of variables where each variable is defined as follows: r = g + 5; w = s + 20; i = u + 19; q = p + 10; s = r + 3; u = q + 18; d = i + 9; b = f + 19; p = o + 7; g = 3; m = w + 3; o = g + 15; f = m + 19. If g = 3, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 4", "b": "j + 3", "n": "b + 12", "l": "n + 20", "t": "l + 18", "y": "t + 11", "p": "k + 4", "g": "p + 20", "f": "g + 16", "o": "f + 1", "c": "o + 5", "m": "c + 1", "k": 14}, "premises": {"k": 14}, "target": "y"}, "answer": {"steps": [["j", "k + 4", 18], ["b", "j + 3", 21], ["n", "b + 12", 33], ["l", "n + 20", 53], ["t", "l + 18", 71], ["y", "t + 11", 82]], "target_var_name": "y", "target_value": 82, "value_dict": {"k": 14, "j": 18, "b": 21, "n": 33, "l": 53, "t": 71, "y": 82}, "is_reverse": false}} | 764 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = g + 16; m = c + 1; y = t + 11; t = l + 18; l = n + 20; g = p + 20; p = k + 4; c = o + 5; o = f + 1; j = k + 4; b = j + 3; n = b + 12; k = 14. If k = 14, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = k + 4, which gives j = 18.\n2. Compute b using b = j + 3, which gives b = 21.\n3. Compute n using n = b + 12, which gives n = 33.\n4. Compute l using l = n + 20, which gives l = 53.\n5. Compute t using t = l + 18, which gives t = 71.\n6. Compute y using y = t + 11, which gives y = 82.\n\nThus, the final answer is y = \\boxed{82}.",
"index": 764,
"question": "Consider a system of variables where each variable is defined as follows: f = g + 16; m = c + 1; y = t + 11; t = l + 18; l = n + 20; g = p + 20; p = k + 4; c = o + 5; o = f + 1; j = k + 4; b = j + 3; n = b + 12; k = 14. If k = 14, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 6", "e": "r + 3", "k": "e + 19", "g": "k + 8", "c": "g + 17", "f": "c + 18", "n": "v + 16", "z": "n + 4", "j": "z + 5", "w": "j + 8", "h": "w + 9", "y": "h + 5", "v": 5}, "premises": {"v": 5}, "target": "f"}, "answer": {"steps": [["r", "v + 6", 11], ["e", "r + 3", 14], ["k", "e + 19", 33], ["g", "k + 8", 41], ["c", "g + 17", 58], ["f", "c + 18", 76]], "target_var_name": "f", "target_value": 76, "value_dict": {"v": 5, "r": 11, "e": 14, "k": 33, "g": 41, "c": 58, "f": 76}, "is_reverse": false}} | 765 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = g + 17; z = n + 4; v = 5; j = z + 5; h = w + 9; f = c + 18; e = r + 3; g = k + 8; n = v + 16; w = j + 8; r = v + 6; k = e + 19; y = h + 5. If v = 5, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = v + 6, which gives r = 11.\n2. Compute e using e = r + 3, which gives e = 14.\n3. Compute k using k = e + 19, which gives k = 33.\n4. Compute g using g = k + 8, which gives g = 41.\n5. Compute c using c = g + 17, which gives c = 58.\n6. Compute f using f = c + 18, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 765,
"question": "Consider a system of variables where each variable is defined as follows: c = g + 17; z = n + 4; v = 5; j = z + 5; h = w + 9; f = c + 18; e = r + 3; g = k + 8; n = v + 16; w = j + 8; r = v + 6; k = e + 19; y = h + 5. If v = 5, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 14", "a": "w + 15", "y": "a + 12", "j": "y + 18", "h": "j + 19", "d": "h + 1", "z": "u + 10", "b": "z + 7", "e": "b + 15", "t": "e + 8", "g": "t + 12", "n": "g + 9", "u": 12}, "premises": {"u": 12}, "target": "d"}, "answer": {"steps": [["w", "u + 14", 26], ["a", "w + 15", 41], ["y", "a + 12", 53], ["j", "y + 18", 71], ["h", "j + 19", 90], ["d", "h + 1", 91]], "target_var_name": "d", "target_value": 91, "value_dict": {"u": 12, "w": 26, "a": 41, "y": 53, "j": 71, "h": 90, "d": 91}, "is_reverse": false}} | 766 | 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 + 7; t = e + 8; h = j + 19; z = u + 10; j = y + 18; d = h + 1; w = u + 14; e = b + 15; g = t + 12; a = w + 15; n = g + 9; u = 12; y = a + 12. If u = 12, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = u + 14, which gives w = 26.\n2. Compute a using a = w + 15, which gives a = 41.\n3. Compute y using y = a + 12, which gives y = 53.\n4. Compute j using j = y + 18, which gives j = 71.\n5. Compute h using h = j + 19, which gives h = 90.\n6. Compute d using d = h + 1, which gives d = 91.\n\nThus, the final answer is d = \\boxed{91}.",
"index": 766,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = z + 7; t = e + 8; h = j + 19; z = u + 10; j = y + 18; d = h + 1; w = u + 14; e = b + 15; g = t + 12; a = w + 15; n = g + 9; u = 12; y = a + 12. If u = 12, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"n": "s + 2", "p": "n + 17", "x": "p + 7", "o": "x + 5", "i": "o + 13", "j": "i + 18", "z": "s + 8", "v": "z + 1", "d": "v + 8", "k": "d + 10", "e": "k + 3", "l": "e + 2", "s": 12}, "premises": {"s": 12}, "target": "j"}, "answer": {"steps": [["n", "s + 2", 14], ["p", "n + 17", 31], ["x", "p + 7", 38], ["o", "x + 5", 43], ["i", "o + 13", 56], ["j", "i + 18", 74]], "target_var_name": "j", "target_value": 74, "value_dict": {"s": 12, "n": 14, "p": 31, "x": 38, "o": 43, "i": 56, "j": 74}, "is_reverse": false}} | 767 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = d + 10; n = s + 2; p = n + 17; s = 12; o = x + 5; e = k + 3; d = v + 8; x = p + 7; j = i + 18; l = e + 2; z = s + 8; v = z + 1; i = o + 13. If s = 12, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = s + 2, which gives n = 14.\n2. Compute p using p = n + 17, which gives p = 31.\n3. Compute x using x = p + 7, which gives x = 38.\n4. Compute o using o = x + 5, which gives o = 43.\n5. Compute i using i = o + 13, which gives i = 56.\n6. Compute j using j = i + 18, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 767,
"question": "Consider a system of variables where each variable is defined as follows: k = d + 10; n = s + 2; p = n + 17; s = 12; o = x + 5; e = k + 3; d = v + 8; x = p + 7; j = i + 18; l = e + 2; z = s + 8; v = z + 1; i = o + 13. If s = 12, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 10", "x": "s + 3", "k": "x + 11", "h": "k + 18", "g": "h + 18", "b": "g + 9", "v": "p + 20", "e": "v + 18", "z": "e + 10", "n": "z + 14", "q": "n + 8", "r": "q + 20", "p": 9}, "premises": {"p": 9}, "target": "b"}, "answer": {"steps": [["s", "p + 10", 19], ["x", "s + 3", 22], ["k", "x + 11", 33], ["h", "k + 18", 51], ["g", "h + 18", 69], ["b", "g + 9", 78]], "target_var_name": "b", "target_value": 78, "value_dict": {"p": 9, "s": 19, "x": 22, "k": 33, "h": 51, "g": 69, "b": 78}, "is_reverse": false}} | 768 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = v + 18; z = e + 10; n = z + 14; x = s + 3; s = p + 10; v = p + 20; r = q + 20; h = k + 18; b = g + 9; p = 9; k = x + 11; q = n + 8; g = h + 18. If p = 9, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = p + 10, which gives s = 19.\n2. Compute x using x = s + 3, which gives x = 22.\n3. Compute k using k = x + 11, which gives k = 33.\n4. Compute h using h = k + 18, which gives h = 51.\n5. Compute g using g = h + 18, which gives g = 69.\n6. Compute b using b = g + 9, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 768,
"question": "Consider a system of variables where each variable is defined as follows: e = v + 18; z = e + 10; n = z + 14; x = s + 3; s = p + 10; v = p + 20; r = q + 20; h = k + 18; b = g + 9; p = 9; k = x + 11; q = n + 8; g = h + 18. If p = 9, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 8", "j": "r + 4", "a": "j + 11", "e": "a + 20", "k": "e + 16", "v": "k + 12", "x": "h + 2", "q": "x + 1", "w": "q + 4", "b": "w + 8", "z": "b + 20", "f": "z + 5", "h": 2}, "premises": {"h": 2}, "target": "v"}, "answer": {"steps": [["r", "h + 8", 10], ["j", "r + 4", 14], ["a", "j + 11", 25], ["e", "a + 20", 45], ["k", "e + 16", 61], ["v", "k + 12", 73]], "target_var_name": "v", "target_value": 73, "value_dict": {"h": 2, "r": 10, "j": 14, "a": 25, "e": 45, "k": 61, "v": 73}, "is_reverse": false}} | 769 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 4; x = h + 2; b = w + 8; z = b + 20; f = z + 5; h = 2; a = j + 11; e = a + 20; v = k + 12; r = h + 8; w = q + 4; k = e + 16; q = x + 1. If h = 2, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = h + 8, which gives r = 10.\n2. Compute j using j = r + 4, which gives j = 14.\n3. Compute a using a = j + 11, which gives a = 25.\n4. Compute e using e = a + 20, which gives e = 45.\n5. Compute k using k = e + 16, which gives k = 61.\n6. Compute v using v = k + 12, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 769,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 4; x = h + 2; b = w + 8; z = b + 20; f = z + 5; h = 2; a = j + 11; e = a + 20; v = k + 12; r = h + 8; w = q + 4; k = e + 16; q = x + 1. If h = 2, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 13", "u": "a + 6", "h": "u + 3", "o": "h + 16", "f": "o + 10", "r": "f + 7", "v": "k + 11", "g": "v + 11", "z": "g + 18", "m": "z + 15", "t": "m + 19", "d": "t + 3", "k": 7}, "premises": {"k": 7}, "target": "r"}, "answer": {"steps": [["a", "k + 13", 20], ["u", "a + 6", 26], ["h", "u + 3", 29], ["o", "h + 16", 45], ["f", "o + 10", 55], ["r", "f + 7", 62]], "target_var_name": "r", "target_value": 62, "value_dict": {"k": 7, "a": 20, "u": 26, "h": 29, "o": 45, "f": 55, "r": 62}, "is_reverse": false}} | 770 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 6; h = u + 3; r = f + 7; f = o + 10; o = h + 16; z = g + 18; v = k + 11; d = t + 3; k = 7; a = k + 13; g = v + 11; t = m + 19; m = z + 15. If k = 7, what is the resulting value of r?",
"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 = k + 13, which gives a = 20.\n2. Compute u using u = a + 6, which gives u = 26.\n3. Compute h using h = u + 3, which gives h = 29.\n4. Compute o using o = h + 16, which gives o = 45.\n5. Compute f using f = o + 10, which gives f = 55.\n6. Compute r using r = f + 7, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 770,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 6; h = u + 3; r = f + 7; f = o + 10; o = h + 16; z = g + 18; v = k + 11; d = t + 3; k = 7; a = k + 13; g = v + 11; t = m + 19; m = z + 15. If k = 7, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"p": "w + 15", "z": "p + 12", "a": "z + 9", "o": "a + 8", "y": "o + 15", "d": "y + 16", "g": "w + 16", "i": "g + 17", "u": "i + 18", "c": "u + 8", "h": "c + 20", "r": "h + 15", "w": 16}, "premises": {"w": 16}, "target": "d"}, "answer": {"steps": [["p", "w + 15", 31], ["z", "p + 12", 43], ["a", "z + 9", 52], ["o", "a + 8", 60], ["y", "o + 15", 75], ["d", "y + 16", 91]], "target_var_name": "d", "target_value": 91, "value_dict": {"w": 16, "p": 31, "z": 43, "a": 52, "o": 60, "y": 75, "d": 91}, "is_reverse": false}} | 771 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = c + 20; w = 16; g = w + 16; y = o + 15; c = u + 8; r = h + 15; u = i + 18; o = a + 8; p = w + 15; i = g + 17; z = p + 12; a = z + 9; d = y + 16. Given that w = 16, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = w + 15, which gives p = 31.\n2. Compute z using z = p + 12, which gives z = 43.\n3. Compute a using a = z + 9, which gives a = 52.\n4. Compute o using o = a + 8, which gives o = 60.\n5. Compute y using y = o + 15, which gives y = 75.\n6. Compute d using d = y + 16, which gives d = 91.\n\nThus, the final answer is d = \\boxed{91}.",
"index": 771,
"question": "Suppose a collection of variables is related by the following definitions: h = c + 20; w = 16; g = w + 16; y = o + 15; c = u + 8; r = h + 15; u = i + 18; o = a + 8; p = w + 15; i = g + 17; z = p + 12; a = z + 9; d = y + 16. Given that w = 16, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 18", "y": "n + 4", "m": "y + 3", "t": "m + 20", "x": "t + 19", "b": "x + 2", "g": "o + 19", "w": "g + 16", "i": "w + 7", "p": "i + 15", "z": "p + 6", "k": "z + 11", "o": 15}, "premises": {"o": 15}, "target": "b"}, "answer": {"steps": [["n", "o + 18", 33], ["y", "n + 4", 37], ["m", "y + 3", 40], ["t", "m + 20", 60], ["x", "t + 19", 79], ["b", "x + 2", 81]], "target_var_name": "b", "target_value": 81, "value_dict": {"o": 15, "n": 33, "y": 37, "m": 40, "t": 60, "x": 79, "b": 81}, "is_reverse": false}} | 772 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = p + 6; t = m + 20; w = g + 16; b = x + 2; n = o + 18; g = o + 19; x = t + 19; k = z + 11; m = y + 3; y = n + 4; p = i + 15; o = 15; i = w + 7. If o = 15, determine the value of b.",
"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 = o + 18, which gives n = 33.\n2. Compute y using y = n + 4, which gives y = 37.\n3. Compute m using m = y + 3, which gives m = 40.\n4. Compute t using t = m + 20, which gives t = 60.\n5. Compute x using x = t + 19, which gives x = 79.\n6. Compute b using b = x + 2, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 772,
"question": "Consider a system of variables where each variable is defined as follows: z = p + 6; t = m + 20; w = g + 16; b = x + 2; n = o + 18; g = o + 19; x = t + 19; k = z + 11; m = y + 3; y = n + 4; p = i + 15; o = 15; i = w + 7. If o = 15, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 2", "a": "r + 6", "i": "a + 4", "e": "i + 19", "u": "e + 8", "o": "u + 17", "h": "c + 7", "m": "h + 18", "w": "m + 2", "f": "w + 19", "k": "f + 19", "n": "k + 12", "c": 5}, "premises": {"c": 5}, "target": "o"}, "answer": {"steps": [["r", "c + 2", 7], ["a", "r + 6", 13], ["i", "a + 4", 17], ["e", "i + 19", 36], ["u", "e + 8", 44], ["o", "u + 17", 61]], "target_var_name": "o", "target_value": 61, "value_dict": {"c": 5, "r": 7, "a": 13, "i": 17, "e": 36, "u": 44, "o": 61}, "is_reverse": false}} | 773 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = r + 6; f = w + 19; r = c + 2; e = i + 19; m = h + 18; n = k + 12; c = 5; k = f + 19; i = a + 4; u = e + 8; h = c + 7; w = m + 2; o = u + 17. Given that c = 5, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = c + 2, which gives r = 7.\n2. Compute a using a = r + 6, which gives a = 13.\n3. Compute i using i = a + 4, which gives i = 17.\n4. Compute e using e = i + 19, which gives e = 36.\n5. Compute u using u = e + 8, which gives u = 44.\n6. Compute o using o = u + 17, which gives o = 61.\n\nThus, the final answer is o = \\boxed{61}.",
"index": 773,
"question": "Suppose a collection of variables is related by the following definitions: a = r + 6; f = w + 19; r = c + 2; e = i + 19; m = h + 18; n = k + 12; c = 5; k = f + 19; i = a + 4; u = e + 8; h = c + 7; w = m + 2; o = u + 17. Given that c = 5, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 9", "o": "q + 3", "a": "o + 9", "r": "a + 17", "u": "r + 5", "s": "u + 3", "m": "d + 10", "e": "m + 5", "i": "e + 16", "t": "i + 7", "w": "t + 10", "g": "w + 4", "d": 15}, "premises": {"d": 15}, "target": "s"}, "answer": {"steps": [["q", "d + 9", 24], ["o", "q + 3", 27], ["a", "o + 9", 36], ["r", "a + 17", 53], ["u", "r + 5", 58], ["s", "u + 3", 61]], "target_var_name": "s", "target_value": 61, "value_dict": {"d": 15, "q": 24, "o": 27, "a": 36, "r": 53, "u": 58, "s": 61}, "is_reverse": false}} | 774 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = w + 4; m = d + 10; s = u + 3; t = i + 7; d = 15; u = r + 5; o = q + 3; e = m + 5; i = e + 16; w = t + 10; r = a + 17; q = d + 9; a = o + 9. If d = 15, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = d + 9, which gives q = 24.\n2. Compute o using o = q + 3, which gives o = 27.\n3. Compute a using a = o + 9, which gives a = 36.\n4. Compute r using r = a + 17, which gives r = 53.\n5. Compute u using u = r + 5, which gives u = 58.\n6. Compute s using s = u + 3, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 774,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = w + 4; m = d + 10; s = u + 3; t = i + 7; d = 15; u = r + 5; o = q + 3; e = m + 5; i = e + 16; w = t + 10; r = a + 17; q = d + 9; a = o + 9. If d = 15, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 7", "u": "x + 14", "s": "u + 7", "a": "s + 8", "f": "a + 5", "r": "f + 12", "m": "g + 7", "v": "m + 9", "e": "v + 6", "w": "e + 2", "o": "w + 6", "c": "o + 17", "g": 12}, "premises": {"g": 12}, "target": "r"}, "answer": {"steps": [["x", "g + 7", 19], ["u", "x + 14", 33], ["s", "u + 7", 40], ["a", "s + 8", 48], ["f", "a + 5", 53], ["r", "f + 12", 65]], "target_var_name": "r", "target_value": 65, "value_dict": {"g": 12, "x": 19, "u": 33, "s": 40, "a": 48, "f": 53, "r": 65}, "is_reverse": false}} | 775 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = g + 7; c = o + 17; g = 12; r = f + 12; s = u + 7; a = s + 8; v = m + 9; u = x + 14; m = g + 7; o = w + 6; w = e + 2; f = a + 5; e = v + 6. If g = 12, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = g + 7, which gives x = 19.\n2. Compute u using u = x + 14, which gives u = 33.\n3. Compute s using s = u + 7, which gives s = 40.\n4. Compute a using a = s + 8, which gives a = 48.\n5. Compute f using f = a + 5, which gives f = 53.\n6. Compute r using r = f + 12, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 775,
"question": "Consider a system of variables where each variable is defined as follows: x = g + 7; c = o + 17; g = 12; r = f + 12; s = u + 7; a = s + 8; v = m + 9; u = x + 14; m = g + 7; o = w + 6; w = e + 2; f = a + 5; e = v + 6. If g = 12, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 15", "n": "p + 15", "w": "n + 14", "j": "w + 3", "u": "j + 1", "y": "u + 19", "m": "i + 18", "t": "m + 3", "v": "t + 2", "a": "v + 5", "h": "a + 18", "d": "h + 1", "i": 16}, "premises": {"i": 16}, "target": "y"}, "answer": {"steps": [["p", "i + 15", 31], ["n", "p + 15", 46], ["w", "n + 14", 60], ["j", "w + 3", 63], ["u", "j + 1", 64], ["y", "u + 19", 83]], "target_var_name": "y", "target_value": 83, "value_dict": {"i": 16, "p": 31, "n": 46, "w": 60, "j": 63, "u": 64, "y": 83}, "is_reverse": false}} | 776 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = a + 18; v = t + 2; d = h + 1; u = j + 1; a = v + 5; j = w + 3; i = 16; y = u + 19; t = m + 3; w = n + 14; n = p + 15; m = i + 18; p = i + 15. If i = 16, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = i + 15, which gives p = 31.\n2. Compute n using n = p + 15, which gives n = 46.\n3. Compute w using w = n + 14, which gives w = 60.\n4. Compute j using j = w + 3, which gives j = 63.\n5. Compute u using u = j + 1, which gives u = 64.\n6. Compute y using y = u + 19, which gives y = 83.\n\nThus, the final answer is y = \\boxed{83}.",
"index": 776,
"question": "Consider a system of variables where each variable is defined as follows: h = a + 18; v = t + 2; d = h + 1; u = j + 1; a = v + 5; j = w + 3; i = 16; y = u + 19; t = m + 3; w = n + 14; n = p + 15; m = i + 18; p = i + 15. If i = 16, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 5", "o": "k + 8", "a": "o + 11", "y": "a + 12", "p": "y + 12", "q": "p + 2", "c": "z + 4", "t": "c + 18", "e": "t + 19", "u": "e + 20", "m": "u + 16", "g": "m + 16", "z": 10}, "premises": {"z": 10}, "target": "q"}, "answer": {"steps": [["k", "z + 5", 15], ["o", "k + 8", 23], ["a", "o + 11", 34], ["y", "a + 12", 46], ["p", "y + 12", 58], ["q", "p + 2", 60]], "target_var_name": "q", "target_value": 60, "value_dict": {"z": 10, "k": 15, "o": 23, "a": 34, "y": 46, "p": 58, "q": 60}, "is_reverse": false}} | 777 | 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 = k + 8; z = 10; q = p + 2; t = c + 18; a = o + 11; g = m + 16; k = z + 5; p = y + 12; c = z + 4; u = e + 20; y = a + 12; e = t + 19; m = u + 16. If z = 10, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = z + 5, which gives k = 15.\n2. Compute o using o = k + 8, which gives o = 23.\n3. Compute a using a = o + 11, which gives a = 34.\n4. Compute y using y = a + 12, which gives y = 46.\n5. Compute p using p = y + 12, which gives p = 58.\n6. Compute q using q = p + 2, which gives q = 60.\n\nThus, the final answer is q = \\boxed{60}.",
"index": 777,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = k + 8; z = 10; q = p + 2; t = c + 18; a = o + 11; g = m + 16; k = z + 5; p = y + 12; c = z + 4; u = e + 20; y = a + 12; e = t + 19; m = u + 16. If z = 10, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 16", "p": "z + 19", "j": "p + 3", "v": "j + 3", "m": "v + 9", "c": "m + 10", "d": "q + 1", "f": "d + 8", "h": "f + 10", "u": "h + 6", "r": "u + 14", "n": "r + 6", "q": 9}, "premises": {"q": 9}, "target": "c"}, "answer": {"steps": [["z", "q + 16", 25], ["p", "z + 19", 44], ["j", "p + 3", 47], ["v", "j + 3", 50], ["m", "v + 9", 59], ["c", "m + 10", 69]], "target_var_name": "c", "target_value": 69, "value_dict": {"q": 9, "z": 25, "p": 44, "j": 47, "v": 50, "m": 59, "c": 69}, "is_reverse": false}} | 778 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = p + 3; m = v + 9; z = q + 16; q = 9; h = f + 10; n = r + 6; r = u + 14; c = m + 10; p = z + 19; u = h + 6; v = j + 3; d = q + 1; f = d + 8. If q = 9, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = q + 16, which gives z = 25.\n2. Compute p using p = z + 19, which gives p = 44.\n3. Compute j using j = p + 3, which gives j = 47.\n4. Compute v using v = j + 3, which gives v = 50.\n5. Compute m using m = v + 9, which gives m = 59.\n6. Compute c using c = m + 10, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 778,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = p + 3; m = v + 9; z = q + 16; q = 9; h = f + 10; n = r + 6; r = u + 14; c = m + 10; p = z + 19; u = h + 6; v = j + 3; d = q + 1; f = d + 8. If q = 9, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 9", "f": "z + 1", "a": "f + 4", "k": "a + 9", "y": "k + 9", "j": "y + 4", "n": "u + 15", "s": "n + 16", "o": "s + 9", "h": "o + 1", "r": "h + 2", "b": "r + 8", "u": 14}, "premises": {"u": 14}, "target": "j"}, "answer": {"steps": [["z", "u + 9", 23], ["f", "z + 1", 24], ["a", "f + 4", 28], ["k", "a + 9", 37], ["y", "k + 9", 46], ["j", "y + 4", 50]], "target_var_name": "j", "target_value": 50, "value_dict": {"u": 14, "z": 23, "f": 24, "a": 28, "k": 37, "y": 46, "j": 50}, "is_reverse": false}} | 779 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = z + 1; r = h + 2; a = f + 4; z = u + 9; h = o + 1; o = s + 9; j = y + 4; b = r + 8; k = a + 9; s = n + 16; n = u + 15; y = k + 9; u = 14. If u = 14, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = u + 9, which gives z = 23.\n2. Compute f using f = z + 1, which gives f = 24.\n3. Compute a using a = f + 4, which gives a = 28.\n4. Compute k using k = a + 9, which gives k = 37.\n5. Compute y using y = k + 9, which gives y = 46.\n6. Compute j using j = y + 4, which gives j = 50.\n\nThus, the final answer is j = \\boxed{50}.",
"index": 779,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = z + 1; r = h + 2; a = f + 4; z = u + 9; h = o + 1; o = s + 9; j = y + 4; b = r + 8; k = a + 9; s = n + 16; n = u + 15; y = k + 9; u = 14. If u = 14, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 20", "c": "j + 13", "l": "c + 11", "i": "l + 15", "f": "i + 15", "s": "f + 10", "b": "q + 7", "w": "b + 14", "a": "w + 9", "o": "a + 10", "v": "o + 20", "e": "v + 15", "q": 20}, "premises": {"q": 20}, "target": "s"}, "answer": {"steps": [["j", "q + 20", 40], ["c", "j + 13", 53], ["l", "c + 11", 64], ["i", "l + 15", 79], ["f", "i + 15", 94], ["s", "f + 10", 104]], "target_var_name": "s", "target_value": 104, "value_dict": {"q": 20, "j": 40, "c": 53, "l": 64, "i": 79, "f": 94, "s": 104}, "is_reverse": false}} | 780 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = c + 11; c = j + 13; i = l + 15; f = i + 15; a = w + 9; o = a + 10; v = o + 20; q = 20; b = q + 7; e = v + 15; j = q + 20; w = b + 14; s = f + 10. If q = 20, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = q + 20, which gives j = 40.\n2. Compute c using c = j + 13, which gives c = 53.\n3. Compute l using l = c + 11, which gives l = 64.\n4. Compute i using i = l + 15, which gives i = 79.\n5. Compute f using f = i + 15, which gives f = 94.\n6. Compute s using s = f + 10, which gives s = 104.\n\nThus, the final answer is s = \\boxed{104}.",
"index": 780,
"question": "Consider a system of variables where each variable is defined as follows: l = c + 11; c = j + 13; i = l + 15; f = i + 15; a = w + 9; o = a + 10; v = o + 20; q = 20; b = q + 7; e = v + 15; j = q + 20; w = b + 14; s = f + 10. If q = 20, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 10", "f": "g + 17", "l": "f + 5", "a": "l + 20", "p": "a + 17", "y": "p + 20", "z": "v + 14", "m": "z + 20", "b": "m + 10", "x": "b + 1", "e": "x + 10", "h": "e + 6", "v": 1}, "premises": {"v": 1}, "target": "y"}, "answer": {"steps": [["g", "v + 10", 11], ["f", "g + 17", 28], ["l", "f + 5", 33], ["a", "l + 20", 53], ["p", "a + 17", 70], ["y", "p + 20", 90]], "target_var_name": "y", "target_value": 90, "value_dict": {"v": 1, "g": 11, "f": 28, "l": 33, "a": 53, "p": 70, "y": 90}, "is_reverse": false}} | 781 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = 1; a = l + 20; l = f + 5; z = v + 14; b = m + 10; p = a + 17; f = g + 17; x = b + 1; y = p + 20; e = x + 10; h = e + 6; m = z + 20; g = v + 10. If v = 1, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = v + 10, which gives g = 11.\n2. Compute f using f = g + 17, which gives f = 28.\n3. Compute l using l = f + 5, which gives l = 33.\n4. Compute a using a = l + 20, which gives a = 53.\n5. Compute p using p = a + 17, which gives p = 70.\n6. Compute y using y = p + 20, which gives y = 90.\n\nThus, the final answer is y = \\boxed{90}.",
"index": 781,
"question": "Consider a system of variables where each variable is defined as follows: v = 1; a = l + 20; l = f + 5; z = v + 14; b = m + 10; p = a + 17; f = g + 17; x = b + 1; y = p + 20; e = x + 10; h = e + 6; m = z + 20; g = v + 10. If v = 1, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 20", "b": "c + 11", "s": "b + 13", "m": "s + 15", "w": "m + 18", "r": "w + 13", "f": "t + 13", "x": "f + 12", "u": "x + 13", "v": "u + 12", "i": "v + 13", "o": "i + 20", "t": 18}, "premises": {"t": 18}, "target": "r"}, "answer": {"steps": [["c", "t + 20", 38], ["b", "c + 11", 49], ["s", "b + 13", 62], ["m", "s + 15", 77], ["w", "m + 18", 95], ["r", "w + 13", 108]], "target_var_name": "r", "target_value": 108, "value_dict": {"t": 18, "c": 38, "b": 49, "s": 62, "m": 77, "w": 95, "r": 108}, "is_reverse": false}} | 782 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = w + 13; c = t + 20; i = v + 13; w = m + 18; f = t + 13; v = u + 12; b = c + 11; m = s + 15; o = i + 20; u = x + 13; t = 18; x = f + 12; s = b + 13. Given that t = 18, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = t + 20, which gives c = 38.\n2. Compute b using b = c + 11, which gives b = 49.\n3. Compute s using s = b + 13, which gives s = 62.\n4. Compute m using m = s + 15, which gives m = 77.\n5. Compute w using w = m + 18, which gives w = 95.\n6. Compute r using r = w + 13, which gives r = 108.\n\nThus, the final answer is r = \\boxed{108}.",
"index": 782,
"question": "Suppose a collection of variables is related by the following definitions: r = w + 13; c = t + 20; i = v + 13; w = m + 18; f = t + 13; v = u + 12; b = c + 11; m = s + 15; o = i + 20; u = x + 13; t = 18; x = f + 12; s = b + 13. Given that t = 18, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "e + 18", "l": "r + 9", "x": "l + 8", "k": "x + 6", "i": "k + 13", "f": "i + 4", "b": "e + 13", "q": "b + 13", "p": "q + 15", "v": "p + 11", "d": "v + 12", "s": "d + 16", "e": 16}, "premises": {"e": 16}, "target": "f"}, "answer": {"steps": [["r", "e + 18", 34], ["l", "r + 9", 43], ["x", "l + 8", 51], ["k", "x + 6", 57], ["i", "k + 13", 70], ["f", "i + 4", 74]], "target_var_name": "f", "target_value": 74, "value_dict": {"e": 16, "r": 34, "l": 43, "x": 51, "k": 57, "i": 70, "f": 74}, "is_reverse": false}} | 783 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = v + 12; l = r + 9; k = x + 6; i = k + 13; b = e + 13; x = l + 8; p = q + 15; q = b + 13; f = i + 4; s = d + 16; r = e + 18; v = p + 11; e = 16. If e = 16, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = e + 18, which gives r = 34.\n2. Compute l using l = r + 9, which gives l = 43.\n3. Compute x using x = l + 8, which gives x = 51.\n4. Compute k using k = x + 6, which gives k = 57.\n5. Compute i using i = k + 13, which gives i = 70.\n6. Compute f using f = i + 4, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 783,
"question": "Consider a system of variables where each variable is defined as follows: d = v + 12; l = r + 9; k = x + 6; i = k + 13; b = e + 13; x = l + 8; p = q + 15; q = b + 13; f = i + 4; s = d + 16; r = e + 18; v = p + 11; e = 16. If e = 16, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 12", "r": "d + 5", "q": "r + 1", "z": "q + 18", "f": "z + 12", "j": "f + 9", "p": "a + 9", "n": "p + 7", "m": "n + 4", "l": "m + 9", "s": "l + 5", "t": "s + 12", "a": 10}, "premises": {"a": 10}, "target": "j"}, "answer": {"steps": [["d", "a + 12", 22], ["r", "d + 5", 27], ["q", "r + 1", 28], ["z", "q + 18", 46], ["f", "z + 12", 58], ["j", "f + 9", 67]], "target_var_name": "j", "target_value": 67, "value_dict": {"a": 10, "d": 22, "r": 27, "q": 28, "z": 46, "f": 58, "j": 67}, "is_reverse": false}} | 784 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = f + 9; l = m + 9; m = n + 4; t = s + 12; p = a + 9; d = a + 12; n = p + 7; z = q + 18; q = r + 1; s = l + 5; r = d + 5; a = 10; f = z + 12. If a = 10, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = a + 12, which gives d = 22.\n2. Compute r using r = d + 5, which gives r = 27.\n3. Compute q using q = r + 1, which gives q = 28.\n4. Compute z using z = q + 18, which gives z = 46.\n5. Compute f using f = z + 12, which gives f = 58.\n6. Compute j using j = f + 9, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 784,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = f + 9; l = m + 9; m = n + 4; t = s + 12; p = a + 9; d = a + 12; n = p + 7; z = q + 18; q = r + 1; s = l + 5; r = d + 5; a = 10; f = z + 12. If a = 10, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 20", "d": "r + 20", "t": "d + 1", "a": "t + 4", "w": "a + 20", "x": "w + 4", "j": "p + 1", "m": "j + 6", "i": "m + 18", "e": "i + 4", "l": "e + 4", "f": "l + 18", "p": 15}, "premises": {"p": 15}, "target": "x"}, "answer": {"steps": [["r", "p + 20", 35], ["d", "r + 20", 55], ["t", "d + 1", 56], ["a", "t + 4", 60], ["w", "a + 20", 80], ["x", "w + 4", 84]], "target_var_name": "x", "target_value": 84, "value_dict": {"p": 15, "r": 35, "d": 55, "t": 56, "a": 60, "w": 80, "x": 84}, "is_reverse": false}} | 785 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = p + 20; i = m + 18; l = e + 4; f = l + 18; a = t + 4; t = d + 1; w = a + 20; d = r + 20; m = j + 6; j = p + 1; x = w + 4; p = 15; e = i + 4. Given that p = 15, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = p + 20, which gives r = 35.\n2. Compute d using d = r + 20, which gives d = 55.\n3. Compute t using t = d + 1, which gives t = 56.\n4. Compute a using a = t + 4, which gives a = 60.\n5. Compute w using w = a + 20, which gives w = 80.\n6. Compute x using x = w + 4, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 785,
"question": "Suppose a collection of variables is related by the following definitions: r = p + 20; i = m + 18; l = e + 4; f = l + 18; a = t + 4; t = d + 1; w = a + 20; d = r + 20; m = j + 6; j = p + 1; x = w + 4; p = 15; e = i + 4. Given that p = 15, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 1", "f": "z + 9", "x": "f + 4", "s": "x + 7", "i": "s + 12", "r": "i + 9", "t": "n + 11", "q": "t + 9", "m": "q + 13", "h": "m + 8", "v": "h + 9", "u": "v + 4", "n": 12}, "premises": {"n": 12}, "target": "r"}, "answer": {"steps": [["z", "n + 1", 13], ["f", "z + 9", 22], ["x", "f + 4", 26], ["s", "x + 7", 33], ["i", "s + 12", 45], ["r", "i + 9", 54]], "target_var_name": "r", "target_value": 54, "value_dict": {"n": 12, "z": 13, "f": 22, "x": 26, "s": 33, "i": 45, "r": 54}, "is_reverse": false}} | 786 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = f + 4; z = n + 1; u = v + 4; f = z + 9; n = 12; m = q + 13; i = s + 12; h = m + 8; s = x + 7; r = i + 9; q = t + 9; v = h + 9; t = n + 11. If n = 12, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = n + 1, which gives z = 13.\n2. Compute f using f = z + 9, which gives f = 22.\n3. Compute x using x = f + 4, which gives x = 26.\n4. Compute s using s = x + 7, which gives s = 33.\n5. Compute i using i = s + 12, which gives i = 45.\n6. Compute r using r = i + 9, which gives r = 54.\n\nThus, the final answer is r = \\boxed{54}.",
"index": 786,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = f + 4; z = n + 1; u = v + 4; f = z + 9; n = 12; m = q + 13; i = s + 12; h = m + 8; s = x + 7; r = i + 9; q = t + 9; v = h + 9; t = n + 11. If n = 12, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 7", "s": "g + 10", "a": "s + 4", "p": "a + 18", "n": "p + 10", "t": "n + 9", "f": "v + 17", "u": "f + 20", "o": "u + 19", "z": "o + 19", "w": "z + 2", "y": "w + 7", "v": 19}, "premises": {"v": 19}, "target": "t"}, "answer": {"steps": [["g", "v + 7", 26], ["s", "g + 10", 36], ["a", "s + 4", 40], ["p", "a + 18", 58], ["n", "p + 10", 68], ["t", "n + 9", 77]], "target_var_name": "t", "target_value": 77, "value_dict": {"v": 19, "g": 26, "s": 36, "a": 40, "p": 58, "n": 68, "t": 77}, "is_reverse": false}} | 787 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = z + 2; f = v + 17; z = o + 19; n = p + 10; p = a + 18; v = 19; o = u + 19; a = s + 4; s = g + 10; y = w + 7; u = f + 20; t = n + 9; g = v + 7. If v = 19, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = v + 7, which gives g = 26.\n2. Compute s using s = g + 10, which gives s = 36.\n3. Compute a using a = s + 4, which gives a = 40.\n4. Compute p using p = a + 18, which gives p = 58.\n5. Compute n using n = p + 10, which gives n = 68.\n6. Compute t using t = n + 9, which gives t = 77.\n\nThus, the final answer is t = \\boxed{77}.",
"index": 787,
"question": "Consider a system of variables where each variable is defined as follows: w = z + 2; f = v + 17; z = o + 19; n = p + 10; p = a + 18; v = 19; o = u + 19; a = s + 4; s = g + 10; y = w + 7; u = f + 20; t = n + 9; g = v + 7. If v = 19, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"j": "g + 17", "z": "j + 8", "y": "z + 5", "r": "y + 11", "o": "r + 16", "u": "o + 17", "t": "g + 19", "d": "t + 12", "k": "d + 7", "h": "k + 10", "q": "h + 18", "l": "q + 19", "g": 5}, "premises": {"g": 5}, "target": "u"}, "answer": {"steps": [["j", "g + 17", 22], ["z", "j + 8", 30], ["y", "z + 5", 35], ["r", "y + 11", 46], ["o", "r + 16", 62], ["u", "o + 17", 79]], "target_var_name": "u", "target_value": 79, "value_dict": {"g": 5, "j": 22, "z": 30, "y": 35, "r": 46, "o": 62, "u": 79}, "is_reverse": false}} | 788 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = j + 8; y = z + 5; d = t + 12; r = y + 11; l = q + 19; q = h + 18; k = d + 7; j = g + 17; u = o + 17; h = k + 10; o = r + 16; t = g + 19; g = 5. Given that g = 5, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = g + 17, which gives j = 22.\n2. Compute z using z = j + 8, which gives z = 30.\n3. Compute y using y = z + 5, which gives y = 35.\n4. Compute r using r = y + 11, which gives r = 46.\n5. Compute o using o = r + 16, which gives o = 62.\n6. Compute u using u = o + 17, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 788,
"question": "Suppose a collection of variables is related by the following definitions: z = j + 8; y = z + 5; d = t + 12; r = y + 11; l = q + 19; q = h + 18; k = d + 7; j = g + 17; u = o + 17; h = k + 10; o = r + 16; t = g + 19; g = 5. Given that g = 5, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"c": "k + 4", "q": "c + 2", "h": "q + 16", "l": "h + 19", "e": "l + 18", "u": "e + 12", "j": "k + 8", "w": "j + 15", "n": "w + 19", "i": "n + 8", "y": "i + 15", "g": "y + 20", "k": 1}, "premises": {"k": 1}, "target": "u"}, "answer": {"steps": [["c", "k + 4", 5], ["q", "c + 2", 7], ["h", "q + 16", 23], ["l", "h + 19", 42], ["e", "l + 18", 60], ["u", "e + 12", 72]], "target_var_name": "u", "target_value": 72, "value_dict": {"k": 1, "c": 5, "q": 7, "h": 23, "l": 42, "e": 60, "u": 72}, "is_reverse": false}} | 789 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = k + 4; g = y + 20; q = c + 2; j = k + 8; l = h + 19; n = w + 19; y = i + 15; k = 1; h = q + 16; w = j + 15; u = e + 12; i = n + 8; e = l + 18. If k = 1, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = k + 4, which gives c = 5.\n2. Compute q using q = c + 2, which gives q = 7.\n3. Compute h using h = q + 16, which gives h = 23.\n4. Compute l using l = h + 19, which gives l = 42.\n5. Compute e using e = l + 18, which gives e = 60.\n6. Compute u using u = e + 12, which gives u = 72.\n\nThus, the final answer is u = \\boxed{72}.",
"index": 789,
"question": "Consider a system of variables where each variable is defined as follows: c = k + 4; g = y + 20; q = c + 2; j = k + 8; l = h + 19; n = w + 19; y = i + 15; k = 1; h = q + 16; w = j + 15; u = e + 12; i = n + 8; e = l + 18. If k = 1, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"p": "q + 5", "j": "p + 2", "e": "j + 17", "h": "e + 7", "z": "h + 10", "c": "z + 5", "m": "q + 3", "f": "m + 9", "w": "f + 4", "b": "w + 18", "g": "b + 5", "v": "g + 16", "q": 18}, "premises": {"q": 18}, "target": "c"}, "answer": {"steps": [["p", "q + 5", 23], ["j", "p + 2", 25], ["e", "j + 17", 42], ["h", "e + 7", 49], ["z", "h + 10", 59], ["c", "z + 5", 64]], "target_var_name": "c", "target_value": 64, "value_dict": {"q": 18, "p": 23, "j": 25, "e": 42, "h": 49, "z": 59, "c": 64}, "is_reverse": false}} | 790 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = q + 5; z = h + 10; j = p + 2; m = q + 3; h = e + 7; w = f + 4; b = w + 18; c = z + 5; q = 18; f = m + 9; e = j + 17; g = b + 5; v = g + 16. If q = 18, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = q + 5, which gives p = 23.\n2. Compute j using j = p + 2, which gives j = 25.\n3. Compute e using e = j + 17, which gives e = 42.\n4. Compute h using h = e + 7, which gives h = 49.\n5. Compute z using z = h + 10, which gives z = 59.\n6. Compute c using c = z + 5, which gives c = 64.\n\nThus, the final answer is c = \\boxed{64}.",
"index": 790,
"question": "Consider a system of variables where each variable is defined as follows: p = q + 5; z = h + 10; j = p + 2; m = q + 3; h = e + 7; w = f + 4; b = w + 18; c = z + 5; q = 18; f = m + 9; e = j + 17; g = b + 5; v = g + 16. If q = 18, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 8", "i": "b + 7", "a": "i + 14", "x": "a + 20", "j": "x + 15", "n": "j + 6", "q": "c + 6", "r": "q + 16", "p": "r + 7", "g": "p + 12", "y": "g + 2", "d": "y + 16", "c": 2}, "premises": {"c": 2}, "target": "n"}, "answer": {"steps": [["b", "c + 8", 10], ["i", "b + 7", 17], ["a", "i + 14", 31], ["x", "a + 20", 51], ["j", "x + 15", 66], ["n", "j + 6", 72]], "target_var_name": "n", "target_value": 72, "value_dict": {"c": 2, "b": 10, "i": 17, "a": 31, "x": 51, "j": 66, "n": 72}, "is_reverse": false}} | 791 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = 2; n = j + 6; g = p + 12; r = q + 16; b = c + 8; p = r + 7; j = x + 15; y = g + 2; i = b + 7; d = y + 16; x = a + 20; a = i + 14; q = c + 6. If c = 2, what is the resulting 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 b using b = c + 8, which gives b = 10.\n2. Compute i using i = b + 7, which gives i = 17.\n3. Compute a using a = i + 14, which gives a = 31.\n4. Compute x using x = a + 20, which gives x = 51.\n5. Compute j using j = x + 15, which gives j = 66.\n6. Compute n using n = j + 6, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 791,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = 2; n = j + 6; g = p + 12; r = q + 16; b = c + 8; p = r + 7; j = x + 15; y = g + 2; i = b + 7; d = y + 16; x = a + 20; a = i + 14; q = c + 6. If c = 2, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"y": "e + 11", "q": "y + 17", "m": "q + 11", "z": "m + 4", "u": "z + 9", "a": "u + 16", "p": "e + 3", "s": "p + 15", "x": "s + 5", "c": "x + 2", "w": "c + 19", "l": "w + 13", "e": 4}, "premises": {"e": 4}, "target": "a"}, "answer": {"steps": [["y", "e + 11", 15], ["q", "y + 17", 32], ["m", "q + 11", 43], ["z", "m + 4", 47], ["u", "z + 9", 56], ["a", "u + 16", 72]], "target_var_name": "a", "target_value": 72, "value_dict": {"e": 4, "y": 15, "q": 32, "m": 43, "z": 47, "u": 56, "a": 72}, "is_reverse": false}} | 792 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = z + 9; z = m + 4; w = c + 19; y = e + 11; c = x + 2; a = u + 16; e = 4; p = e + 3; s = p + 15; l = w + 13; q = y + 17; x = s + 5; m = q + 11. If e = 4, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = e + 11, which gives y = 15.\n2. Compute q using q = y + 17, which gives q = 32.\n3. Compute m using m = q + 11, which gives m = 43.\n4. Compute z using z = m + 4, which gives z = 47.\n5. Compute u using u = z + 9, which gives u = 56.\n6. Compute a using a = u + 16, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 792,
"question": "Consider a system of variables where each variable is defined as follows: u = z + 9; z = m + 4; w = c + 19; y = e + 11; c = x + 2; a = u + 16; e = 4; p = e + 3; s = p + 15; l = w + 13; q = y + 17; x = s + 5; m = q + 11. If e = 4, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"g": "w + 1", "b": "g + 7", "i": "b + 1", "f": "i + 15", "e": "f + 5", "n": "e + 17", "q": "w + 9", "l": "q + 16", "t": "l + 20", "s": "t + 11", "y": "s + 4", "h": "y + 18", "w": 19}, "premises": {"w": 19}, "target": "n"}, "answer": {"steps": [["g", "w + 1", 20], ["b", "g + 7", 27], ["i", "b + 1", 28], ["f", "i + 15", 43], ["e", "f + 5", 48], ["n", "e + 17", 65]], "target_var_name": "n", "target_value": 65, "value_dict": {"w": 19, "g": 20, "b": 27, "i": 28, "f": 43, "e": 48, "n": 65}, "is_reverse": false}} | 793 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = y + 18; i = b + 1; w = 19; q = w + 9; s = t + 11; n = e + 17; g = w + 1; e = f + 5; l = q + 16; f = i + 15; t = l + 20; b = g + 7; y = s + 4. Given that w = 19, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = w + 1, which gives g = 20.\n2. Compute b using b = g + 7, which gives b = 27.\n3. Compute i using i = b + 1, which gives i = 28.\n4. Compute f using f = i + 15, which gives f = 43.\n5. Compute e using e = f + 5, which gives e = 48.\n6. Compute n using n = e + 17, which gives n = 65.\n\nThus, the final answer is n = \\boxed{65}.",
"index": 793,
"question": "Suppose a collection of variables is related by the following definitions: h = y + 18; i = b + 1; w = 19; q = w + 9; s = t + 11; n = e + 17; g = w + 1; e = f + 5; l = q + 16; f = i + 15; t = l + 20; b = g + 7; y = s + 4. Given that w = 19, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 3", "i": "q + 8", "y": "i + 14", "s": "y + 13", "h": "s + 3", "t": "h + 13", "d": "u + 2", "j": "d + 5", "f": "j + 7", "o": "f + 2", "x": "o + 17", "e": "x + 14", "u": 10}, "premises": {"u": 10}, "target": "t"}, "answer": {"steps": [["q", "u + 3", 13], ["i", "q + 8", 21], ["y", "i + 14", 35], ["s", "y + 13", 48], ["h", "s + 3", 51], ["t", "h + 13", 64]], "target_var_name": "t", "target_value": 64, "value_dict": {"u": 10, "q": 13, "i": 21, "y": 35, "s": 48, "h": 51, "t": 64}, "is_reverse": false}} | 794 | 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 = h + 13; s = y + 13; i = q + 8; h = s + 3; x = o + 17; u = 10; f = j + 7; d = u + 2; o = f + 2; j = d + 5; q = u + 3; y = i + 14; e = x + 14. If u = 10, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = u + 3, which gives q = 13.\n2. Compute i using i = q + 8, which gives i = 21.\n3. Compute y using y = i + 14, which gives y = 35.\n4. Compute s using s = y + 13, which gives s = 48.\n5. Compute h using h = s + 3, which gives h = 51.\n6. Compute t using t = h + 13, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 794,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = h + 13; s = y + 13; i = q + 8; h = s + 3; x = o + 17; u = 10; f = j + 7; d = u + 2; o = f + 2; j = d + 5; q = u + 3; y = i + 14; e = x + 14. If u = 10, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 20", "n": "h + 16", "a": "n + 3", "k": "a + 8", "g": "k + 20", "o": "g + 10", "d": "p + 14", "v": "d + 15", "s": "v + 3", "y": "s + 17", "i": "y + 15", "l": "i + 6", "p": 19}, "premises": {"p": 19}, "target": "o"}, "answer": {"steps": [["h", "p + 20", 39], ["n", "h + 16", 55], ["a", "n + 3", 58], ["k", "a + 8", 66], ["g", "k + 20", 86], ["o", "g + 10", 96]], "target_var_name": "o", "target_value": 96, "value_dict": {"p": 19, "h": 39, "n": 55, "a": 58, "k": 66, "g": 86, "o": 96}, "is_reverse": false}} | 795 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = y + 15; v = d + 15; y = s + 17; s = v + 3; d = p + 14; k = a + 8; p = 19; o = g + 10; a = n + 3; g = k + 20; h = p + 20; l = i + 6; n = h + 16. If p = 19, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = p + 20, which gives h = 39.\n2. Compute n using n = h + 16, which gives n = 55.\n3. Compute a using a = n + 3, which gives a = 58.\n4. Compute k using k = a + 8, which gives k = 66.\n5. Compute g using g = k + 20, which gives g = 86.\n6. Compute o using o = g + 10, which gives o = 96.\n\nThus, the final answer is o = \\boxed{96}.",
"index": 795,
"question": "Consider a system of variables where each variable is defined as follows: i = y + 15; v = d + 15; y = s + 17; s = v + 3; d = p + 14; k = a + 8; p = 19; o = g + 10; a = n + 3; g = k + 20; h = p + 20; l = i + 6; n = h + 16. If p = 19, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 19", "c": "b + 15", "i": "c + 3", "g": "i + 15", "v": "g + 14", "y": "v + 12", "q": "r + 14", "z": "q + 3", "d": "z + 5", "l": "d + 16", "n": "l + 5", "x": "n + 14", "r": 16}, "premises": {"r": 16}, "target": "y"}, "answer": {"steps": [["b", "r + 19", 35], ["c", "b + 15", 50], ["i", "c + 3", 53], ["g", "i + 15", 68], ["v", "g + 14", 82], ["y", "v + 12", 94]], "target_var_name": "y", "target_value": 94, "value_dict": {"r": 16, "b": 35, "c": 50, "i": 53, "g": 68, "v": 82, "y": 94}, "is_reverse": false}} | 796 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = q + 3; y = v + 12; q = r + 14; x = n + 14; d = z + 5; r = 16; c = b + 15; n = l + 5; b = r + 19; g = i + 15; l = d + 16; i = c + 3; v = g + 14. Given that r = 16, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = r + 19, which gives b = 35.\n2. Compute c using c = b + 15, which gives c = 50.\n3. Compute i using i = c + 3, which gives i = 53.\n4. Compute g using g = i + 15, which gives g = 68.\n5. Compute v using v = g + 14, which gives v = 82.\n6. Compute y using y = v + 12, which gives y = 94.\n\nThus, the final answer is y = \\boxed{94}.",
"index": 796,
"question": "Suppose a collection of variables is related by the following definitions: z = q + 3; y = v + 12; q = r + 14; x = n + 14; d = z + 5; r = 16; c = b + 15; n = l + 5; b = r + 19; g = i + 15; l = d + 16; i = c + 3; v = g + 14. Given that r = 16, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"g": "p + 8", "h": "g + 14", "k": "h + 17", "o": "k + 1", "c": "o + 10", "y": "c + 16", "r": "p + 20", "z": "r + 8", "e": "z + 10", "x": "e + 11", "f": "x + 19", "i": "f + 3", "p": 10}, "premises": {"p": 10}, "target": "y"}, "answer": {"steps": [["g", "p + 8", 18], ["h", "g + 14", 32], ["k", "h + 17", 49], ["o", "k + 1", 50], ["c", "o + 10", 60], ["y", "c + 16", 76]], "target_var_name": "y", "target_value": 76, "value_dict": {"p": 10, "g": 18, "h": 32, "k": 49, "o": 50, "c": 60, "y": 76}, "is_reverse": false}} | 797 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = p + 20; z = r + 8; f = x + 19; y = c + 16; x = e + 11; o = k + 1; h = g + 14; k = h + 17; p = 10; c = o + 10; g = p + 8; e = z + 10; i = f + 3. If p = 10, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = p + 8, which gives g = 18.\n2. Compute h using h = g + 14, which gives h = 32.\n3. Compute k using k = h + 17, which gives k = 49.\n4. Compute o using o = k + 1, which gives o = 50.\n5. Compute c using c = o + 10, which gives c = 60.\n6. Compute y using y = c + 16, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 797,
"question": "Consider a system of variables where each variable is defined as follows: r = p + 20; z = r + 8; f = x + 19; y = c + 16; x = e + 11; o = k + 1; h = g + 14; k = h + 17; p = 10; c = o + 10; g = p + 8; e = z + 10; i = f + 3. If p = 10, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 13", "t": "b + 2", "z": "t + 14", "w": "z + 8", "h": "w + 17", "l": "h + 9", "e": "o + 19", "q": "e + 16", "m": "q + 10", "u": "m + 18", "d": "u + 8", "p": "d + 6", "o": 16}, "premises": {"o": 16}, "target": "l"}, "answer": {"steps": [["b", "o + 13", 29], ["t", "b + 2", 31], ["z", "t + 14", 45], ["w", "z + 8", 53], ["h", "w + 17", 70], ["l", "h + 9", 79]], "target_var_name": "l", "target_value": 79, "value_dict": {"o": 16, "b": 29, "t": 31, "z": 45, "w": 53, "h": 70, "l": 79}, "is_reverse": false}} | 798 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = t + 14; e = o + 19; m = q + 10; d = u + 8; p = d + 6; b = o + 13; w = z + 8; u = m + 18; o = 16; q = e + 16; h = w + 17; l = h + 9; t = b + 2. Given that o = 16, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = o + 13, which gives b = 29.\n2. Compute t using t = b + 2, which gives t = 31.\n3. Compute z using z = t + 14, which gives z = 45.\n4. Compute w using w = z + 8, which gives w = 53.\n5. Compute h using h = w + 17, which gives h = 70.\n6. Compute l using l = h + 9, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 798,
"question": "Suppose a collection of variables is related by the following definitions: z = t + 14; e = o + 19; m = q + 10; d = u + 8; p = d + 6; b = o + 13; w = z + 8; u = m + 18; o = 16; q = e + 16; h = w + 17; l = h + 9; t = b + 2. Given that o = 16, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 17", "f": "r + 20", "e": "f + 20", "j": "e + 10", "a": "j + 5", "y": "a + 17", "i": "o + 16", "x": "i + 7", "z": "x + 19", "m": "z + 17", "l": "m + 15", "d": "l + 15", "o": 12}, "premises": {"o": 12}, "target": "y"}, "answer": {"steps": [["r", "o + 17", 29], ["f", "r + 20", 49], ["e", "f + 20", 69], ["j", "e + 10", 79], ["a", "j + 5", 84], ["y", "a + 17", 101]], "target_var_name": "y", "target_value": 101, "value_dict": {"o": 12, "r": 29, "f": 49, "e": 69, "j": 79, "a": 84, "y": 101}, "is_reverse": false}} | 799 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = i + 7; i = o + 16; m = z + 17; l = m + 15; f = r + 20; r = o + 17; z = x + 19; a = j + 5; e = f + 20; o = 12; j = e + 10; y = a + 17; d = l + 15. Given that o = 12, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = o + 17, which gives r = 29.\n2. Compute f using f = r + 20, which gives f = 49.\n3. Compute e using e = f + 20, which gives e = 69.\n4. Compute j using j = e + 10, which gives j = 79.\n5. Compute a using a = j + 5, which gives a = 84.\n6. Compute y using y = a + 17, which gives y = 101.\n\nThus, the final answer is y = \\boxed{101}.",
"index": 799,
"question": "Suppose a collection of variables is related by the following definitions: x = i + 7; i = o + 16; m = z + 17; l = m + 15; f = r + 20; r = o + 17; z = x + 19; a = j + 5; e = f + 20; o = 12; j = e + 10; y = a + 17; d = l + 15. Given that o = 12, find the value of y.",
"split": "train"
} |
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