meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"t": "k + 10", "z": "t + 18", "l": "z + 18", "i": "l + 6", "x": "i + 4", "j": "x + 3", "m": "k + 7", "q": "m + 13", "n": "q + 19", "p": "n + 5", "s": "p + 6", "b": "s + 12", "k": 8}, "premises": {"k": 8}, "target": "j"}, "answer": {"steps": [["x", "i + 4", "i + 7"], ["i", "l + 6", "l + 13"], ["l", "z + 18", "z + 31"], ["z", "t + 18", "t + 49"], ["t", "k + 10", "k + 59"], ["k", 8, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"k": 8}, "is_reverse": true}} | 14,800 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = n + 5; t = k + 10; k = 8; n = q + 19; x = i + 4; b = s + 12; q = m + 13; m = k + 7; s = p + 6; j = x + 3; i = l + 6; l = z + 18; z = t + 18. If k = 8, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 4 to j, which gives j = i + 7.\n2. Substitute i = l + 6 to j, which gives j = l + 13.\n3. Substitute l = z + 18 to j, which gives j = z + 31.\n4. Substitute z = t + 18 to j, which gives j = t + 49.\n5. Substitute t = k + 10 to j, which gives j = k + 59.\n6. Substitute k = 8 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 14800,
"question": "Consider a system of variables where each variable is defined as follows: p = n + 5; t = k + 10; k = 8; n = q + 19; x = i + 4; b = s + 12; q = m + 13; m = k + 7; s = p + 6; j = x + 3; i = l + 6; l = z + 18; z = t + 18. If k = 8, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 13", "h": "r + 10", "c": "h + 11", "f": "c + 18", "k": "f + 9", "v": "k + 15", "q": "j + 11", "i": "q + 4", "a": "i + 17", "u": "a + 19", "e": "u + 19", "b": "e + 17", "j": 3}, "premises": {"j": 3}, "target": "v"}, "answer": {"steps": [["k", "f + 9", "f + 24"], ["f", "c + 18", "c + 42"], ["c", "h + 11", "h + 53"], ["h", "r + 10", "r + 63"], ["r", "j + 13", "j + 76"], ["j", 3, "79"]], "target_var_name": "v", "target_value": 79, "value_dict": {"j": 3}, "is_reverse": true}} | 14,801 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = f + 9; u = a + 19; v = k + 15; j = 3; h = r + 10; c = h + 11; r = j + 13; f = c + 18; b = e + 17; e = u + 19; a = i + 17; q = j + 11; i = q + 4. If j = 3, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 9 to v, which gives v = f + 24.\n2. Substitute f = c + 18 to v, which gives v = c + 42.\n3. Substitute c = h + 11 to v, which gives v = h + 53.\n4. Substitute h = r + 10 to v, which gives v = r + 63.\n5. Substitute r = j + 13 to v, which gives v = j + 76.\n6. Substitute j = 3 to v, which gives v = 79.\n\nThus, the final answer is v = \\boxed{79}.",
"index": 14801,
"question": "Consider a system of variables where each variable is defined as follows: k = f + 9; u = a + 19; v = k + 15; j = 3; h = r + 10; c = h + 11; r = j + 13; f = c + 18; b = e + 17; e = u + 19; a = i + 17; q = j + 11; i = q + 4. If j = 3, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"l": "j + 5", "h": "l + 1", "d": "h + 11", "y": "d + 14", "m": "y + 7", "z": "m + 18", "p": "j + 4", "n": "p + 1", "i": "n + 2", "r": "i + 15", "x": "r + 8", "u": "x + 17", "j": 7}, "premises": {"j": 7}, "target": "z"}, "answer": {"steps": [["m", "y + 7", "y + 25"], ["y", "d + 14", "d + 39"], ["d", "h + 11", "h + 50"], ["h", "l + 1", "l + 51"], ["l", "j + 5", "j + 56"], ["j", 7, "63"]], "target_var_name": "z", "target_value": 63, "value_dict": {"j": 7}, "is_reverse": true}} | 14,802 | 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 + 17; n = p + 1; h = l + 1; i = n + 2; d = h + 11; x = r + 8; z = m + 18; y = d + 14; r = i + 15; j = 7; p = j + 4; m = y + 7; l = j + 5. If j = 7, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 7 to z, which gives z = y + 25.\n2. Substitute y = d + 14 to z, which gives z = d + 39.\n3. Substitute d = h + 11 to z, which gives z = h + 50.\n4. Substitute h = l + 1 to z, which gives z = l + 51.\n5. Substitute l = j + 5 to z, which gives z = j + 56.\n6. Substitute j = 7 to z, which gives z = 63.\n\nThus, the final answer is z = \\boxed{63}.",
"index": 14802,
"question": "Consider a system of variables where each variable is defined as follows: u = x + 17; n = p + 1; h = l + 1; i = n + 2; d = h + 11; x = r + 8; z = m + 18; y = d + 14; r = i + 15; j = 7; p = j + 4; m = y + 7; l = j + 5. If j = 7, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 4", "p": "e + 4", "s": "p + 6", "o": "s + 17", "z": "o + 14", "r": "z + 5", "k": "d + 13", "x": "k + 16", "a": "x + 13", "q": "a + 15", "w": "q + 12", "g": "w + 18", "d": 16}, "premises": {"d": 16}, "target": "r"}, "answer": {"steps": [["z", "o + 14", "o + 19"], ["o", "s + 17", "s + 36"], ["s", "p + 6", "p + 42"], ["p", "e + 4", "e + 46"], ["e", "d + 4", "d + 50"], ["d", 16, "66"]], "target_var_name": "r", "target_value": 66, "value_dict": {"d": 16}, "is_reverse": true}} | 14,803 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = x + 13; g = w + 18; p = e + 4; w = q + 12; d = 16; r = z + 5; q = a + 15; k = d + 13; e = d + 4; z = o + 14; o = s + 17; s = p + 6; x = k + 16. Given that d = 16, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 14 to r, which gives r = o + 19.\n2. Substitute o = s + 17 to r, which gives r = s + 36.\n3. Substitute s = p + 6 to r, which gives r = p + 42.\n4. Substitute p = e + 4 to r, which gives r = e + 46.\n5. Substitute e = d + 4 to r, which gives r = d + 50.\n6. Substitute d = 16 to r, which gives r = 66.\n\nThus, the final answer is r = \\boxed{66}.",
"index": 14803,
"question": "Suppose a collection of variables is related by the following definitions: a = x + 13; g = w + 18; p = e + 4; w = q + 12; d = 16; r = z + 5; q = a + 15; k = d + 13; e = d + 4; z = o + 14; o = s + 17; s = p + 6; x = k + 16. Given that d = 16, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 10", "c": "z + 4", "d": "c + 17", "t": "d + 12", "m": "t + 1", "j": "m + 3", "k": "l + 14", "a": "k + 16", "y": "a + 9", "q": "y + 9", "o": "q + 18", "e": "o + 14", "l": 13}, "premises": {"l": 13}, "target": "j"}, "answer": {"steps": [["m", "t + 1", "t + 4"], ["t", "d + 12", "d + 16"], ["d", "c + 17", "c + 33"], ["c", "z + 4", "z + 37"], ["z", "l + 10", "l + 47"], ["l", 13, "60"]], "target_var_name": "j", "target_value": 60, "value_dict": {"l": 13}, "is_reverse": true}} | 14,804 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = q + 18; d = c + 17; a = k + 16; c = z + 4; k = l + 14; l = 13; q = y + 9; y = a + 9; j = m + 3; e = o + 14; t = d + 12; m = t + 1; z = l + 10. Given that l = 13, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 1 to j, which gives j = t + 4.\n2. Substitute t = d + 12 to j, which gives j = d + 16.\n3. Substitute d = c + 17 to j, which gives j = c + 33.\n4. Substitute c = z + 4 to j, which gives j = z + 37.\n5. Substitute z = l + 10 to j, which gives j = l + 47.\n6. Substitute l = 13 to j, which gives j = 60.\n\nThus, the final answer is j = \\boxed{60}.",
"index": 14804,
"question": "Suppose a collection of variables is related by the following definitions: o = q + 18; d = c + 17; a = k + 16; c = z + 4; k = l + 14; l = 13; q = y + 9; y = a + 9; j = m + 3; e = o + 14; t = d + 12; m = t + 1; z = l + 10. Given that l = 13, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 19", "l": "a + 20", "y": "l + 19", "o": "y + 14", "q": "o + 2", "m": "q + 11", "d": "v + 11", "z": "d + 19", "g": "z + 5", "e": "g + 17", "k": "e + 9", "u": "k + 14", "v": 13}, "premises": {"v": 13}, "target": "m"}, "answer": {"steps": [["q", "o + 2", "o + 13"], ["o", "y + 14", "y + 27"], ["y", "l + 19", "l + 46"], ["l", "a + 20", "a + 66"], ["a", "v + 19", "v + 85"], ["v", 13, "98"]], "target_var_name": "m", "target_value": 98, "value_dict": {"v": 13}, "is_reverse": true}} | 14,805 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = g + 17; a = v + 19; v = 13; z = d + 19; g = z + 5; k = e + 9; d = v + 11; y = l + 19; m = q + 11; q = o + 2; o = y + 14; l = a + 20; u = k + 14. If v = 13, what is the resulting value of m?",
"role": "u... | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 2 to m, which gives m = o + 13.\n2. Substitute o = y + 14 to m, which gives m = y + 27.\n3. Substitute y = l + 19 to m, which gives m = l + 46.\n4. Substitute l = a + 20 to m, which gives m = a + 66.\n5. Substitute a = v + 19 to m, which gives m = v + 85.\n6. Substitute v = 13 to m, which gives m = 98.\n\nThus, the final answer is m = \\boxed{98}.",
"index": 14805,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = g + 17; a = v + 19; v = 13; z = d + 19; g = z + 5; k = e + 9; d = v + 11; y = l + 19; m = q + 11; q = o + 2; o = y + 14; l = a + 20; u = k + 14. If v = 13, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 20", "x": "s + 14", "w": "x + 1", "i": "w + 1", "g": "i + 6", "p": "g + 10", "r": "a + 13", "q": "r + 3", "v": "q + 14", "t": "v + 10", "d": "t + 7", "h": "d + 1", "a": 1}, "premises": {"a": 1}, "target": "p"}, "answer": {"steps": [["g", "i + 6", "i + 16"], ["i", "w + 1", "w + 17"], ["w", "x + 1", "x + 18"], ["x", "s + 14", "s + 32"], ["s", "a + 20", "a + 52"], ["a", 1, "53"]], "target_var_name": "p", "target_value": 53, "value_dict": {"a": 1}, "is_reverse": true}} | 14,806 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = q + 14; d = t + 7; w = x + 1; p = g + 10; s = a + 20; a = 1; i = w + 1; r = a + 13; t = v + 10; q = r + 3; h = d + 1; x = s + 14; g = i + 6. If a = 1, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 6 to p, which gives p = i + 16.\n2. Substitute i = w + 1 to p, which gives p = w + 17.\n3. Substitute w = x + 1 to p, which gives p = x + 18.\n4. Substitute x = s + 14 to p, which gives p = s + 32.\n5. Substitute s = a + 20 to p, which gives p = a + 52.\n6. Substitute a = 1 to p, which gives p = 53.\n\nThus, the final answer is p = \\boxed{53}.",
"index": 14806,
"question": "Consider a system of variables where each variable is defined as follows: v = q + 14; d = t + 7; w = x + 1; p = g + 10; s = a + 20; a = 1; i = w + 1; r = a + 13; t = v + 10; q = r + 3; h = d + 1; x = s + 14; g = i + 6. If a = 1, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"f": "y + 20", "k": "f + 15", "g": "k + 8", "z": "g + 6", "l": "z + 17", "i": "l + 6", "x": "y + 11", "h": "x + 11", "t": "h + 1", "e": "t + 8", "p": "e + 6", "m": "p + 20", "y": 2}, "premises": {"y": 2}, "target": "i"}, "answer": {"steps": [["l", "z + 17", "z + 23"], ["z", "g + 6", "g + 29"], ["g", "k + 8", "k + 37"], ["k", "f + 15", "f + 52"], ["f", "y + 20", "y + 72"], ["y", 2, "74"]], "target_var_name": "i", "target_value": 74, "value_dict": {"y": 2}, "is_reverse": true}} | 14,807 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = t + 8; h = x + 11; i = l + 6; p = e + 6; g = k + 8; k = f + 15; t = h + 1; x = y + 11; m = p + 20; l = z + 17; z = g + 6; f = y + 20; y = 2. Given that y = 2, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 17 to i, which gives i = z + 23.\n2. Substitute z = g + 6 to i, which gives i = g + 29.\n3. Substitute g = k + 8 to i, which gives i = k + 37.\n4. Substitute k = f + 15 to i, which gives i = f + 52.\n5. Substitute f = y + 20 to i, which gives i = y + 72.\n6. Substitute y = 2 to i, which gives i = 74.\n\nThus, the final answer is i = \\boxed{74}.",
"index": 14807,
"question": "Suppose a collection of variables is related by the following definitions: e = t + 8; h = x + 11; i = l + 6; p = e + 6; g = k + 8; k = f + 15; t = h + 1; x = y + 11; m = p + 20; l = z + 17; z = g + 6; f = y + 20; y = 2. Given that y = 2, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 10", "y": "k + 19", "b": "y + 20", "v": "b + 3", "d": "v + 4", "e": "d + 20", "a": "s + 2", "x": "a + 19", "o": "x + 2", "h": "o + 19", "t": "h + 14", "j": "t + 11", "s": 9}, "premises": {"s": 9}, "target": "e"}, "answer": {"steps": [["d", "v + 4", "v + 24"], ["v", "b + 3", "b + 27"], ["b", "y + 20", "y + 47"], ["y", "k + 19", "k + 66"], ["k", "s + 10", "s + 76"], ["s", 9, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"s": 9}, "is_reverse": true}} | 14,808 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = y + 20; y = k + 19; x = a + 19; e = d + 20; j = t + 11; v = b + 3; o = x + 2; t = h + 14; a = s + 2; k = s + 10; h = o + 19; s = 9; d = v + 4. Given that s = 9, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 4 to e, which gives e = v + 24.\n2. Substitute v = b + 3 to e, which gives e = b + 27.\n3. Substitute b = y + 20 to e, which gives e = y + 47.\n4. Substitute y = k + 19 to e, which gives e = k + 66.\n5. Substitute k = s + 10 to e, which gives e = s + 76.\n6. Substitute s = 9 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 14808,
"question": "Suppose a collection of variables is related by the following definitions: b = y + 20; y = k + 19; x = a + 19; e = d + 20; j = t + 11; v = b + 3; o = x + 2; t = h + 14; a = s + 2; k = s + 10; h = o + 19; s = 9; d = v + 4. Given that s = 9, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 4", "l": "z + 8", "n": "l + 1", "a": "n + 7", "e": "a + 6", "o": "e + 15", "b": "r + 5", "p": "b + 4", "x": "p + 15", "k": "x + 15", "f": "k + 18", "y": "f + 15", "r": 18}, "premises": {"r": 18}, "target": "o"}, "answer": {"steps": [["e", "a + 6", "a + 21"], ["a", "n + 7", "n + 28"], ["n", "l + 1", "l + 29"], ["l", "z + 8", "z + 37"], ["z", "r + 4", "r + 41"], ["r", 18, "59"]], "target_var_name": "o", "target_value": 59, "value_dict": {"r": 18}, "is_reverse": true}} | 14,809 | 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 = e + 15; n = l + 1; b = r + 5; e = a + 6; y = f + 15; r = 18; x = p + 15; k = x + 15; z = r + 4; f = k + 18; p = b + 4; a = n + 7; l = z + 8. If r = 18, what is the resulting value of o?",
"role": "user"... | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 6 to o, which gives o = a + 21.\n2. Substitute a = n + 7 to o, which gives o = n + 28.\n3. Substitute n = l + 1 to o, which gives o = l + 29.\n4. Substitute l = z + 8 to o, which gives o = z + 37.\n5. Substitute z = r + 4 to o, which gives o = r + 41.\n6. Substitute r = 18 to o, which gives o = 59.\n\nThus, the final answer is o = \\boxed{59}.",
"index": 14809,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 15; n = l + 1; b = r + 5; e = a + 6; y = f + 15; r = 18; x = p + 15; k = x + 15; z = r + 4; f = k + 18; p = b + 4; a = n + 7; l = z + 8. If r = 18, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 3", "n": "k + 6", "q": "n + 7", "m": "q + 9", "i": "m + 7", "l": "i + 4", "f": "g + 1", "u": "f + 20", "b": "u + 7", "j": "b + 20", "r": "j + 15", "p": "r + 4", "g": 10}, "premises": {"g": 10}, "target": "l"}, "answer": {"steps": [["i", "m + 7", "m + 11"], ["m", "q + 9", "q + 20"], ["q", "n + 7", "n + 27"], ["n", "k + 6", "k + 33"], ["k", "g + 3", "g + 36"], ["g", 10, "46"]], "target_var_name": "l", "target_value": 46, "value_dict": {"g": 10}, "is_reverse": true}} | 14,810 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 3; m = q + 9; r = j + 15; l = i + 4; p = r + 4; u = f + 20; n = k + 6; j = b + 20; i = m + 7; g = 10; b = u + 7; f = g + 1; q = n + 7. If g = 10, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 7 to l, which gives l = m + 11.\n2. Substitute m = q + 9 to l, which gives l = q + 20.\n3. Substitute q = n + 7 to l, which gives l = n + 27.\n4. Substitute n = k + 6 to l, which gives l = k + 33.\n5. Substitute k = g + 3 to l, which gives l = g + 36.\n6. Substitute g = 10 to l, which gives l = 46.\n\nThus, the final answer is l = \\boxed{46}.",
"index": 14810,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 3; m = q + 9; r = j + 15; l = i + 4; p = r + 4; u = f + 20; n = k + 6; j = b + 20; i = m + 7; g = 10; b = u + 7; f = g + 1; q = n + 7. If g = 10, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 13", "s": "o + 15", "e": "s + 14", "x": "e + 3", "b": "x + 11", "c": "b + 5", "j": "h + 4", "t": "j + 7", "y": "t + 19", "w": "y + 8", "m": "w + 1", "p": "m + 6", "h": 18}, "premises": {"h": 18}, "target": "c"}, "answer": {"steps": [["b", "x + 11", "x + 16"], ["x", "e + 3", "e + 19"], ["e", "s + 14", "s + 33"], ["s", "o + 15", "o + 48"], ["o", "h + 13", "h + 61"], ["h", 18, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"h": 18}, "is_reverse": true}} | 14,811 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = y + 8; e = s + 14; b = x + 11; h = 18; c = b + 5; j = h + 4; y = t + 19; x = e + 3; m = w + 1; o = h + 13; p = m + 6; s = o + 15; t = j + 7. Given that h = 18, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 11 to c, which gives c = x + 16.\n2. Substitute x = e + 3 to c, which gives c = e + 19.\n3. Substitute e = s + 14 to c, which gives c = s + 33.\n4. Substitute s = o + 15 to c, which gives c = o + 48.\n5. Substitute o = h + 13 to c, which gives c = h + 61.\n6. Substitute h = 18 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 14811,
"question": "Suppose a collection of variables is related by the following definitions: w = y + 8; e = s + 14; b = x + 11; h = 18; c = b + 5; j = h + 4; y = t + 19; x = e + 3; m = w + 1; o = h + 13; p = m + 6; s = o + 15; t = j + 7. Given that h = 18, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 1", "v": "l + 8", "c": "v + 13", "d": "c + 10", "o": "d + 19", "a": "o + 8", "j": "u + 9", "g": "j + 13", "h": "g + 11", "y": "h + 12", "x": "y + 11", "q": "x + 13", "u": 6}, "premises": {"u": 6}, "target": "a"}, "answer": {"steps": [["o", "d + 19", "d + 27"], ["d", "c + 10", "c + 37"], ["c", "v + 13", "v + 50"], ["v", "l + 8", "l + 58"], ["l", "u + 1", "u + 59"], ["u", 6, "65"]], "target_var_name": "a", "target_value": 65, "value_dict": {"u": 6}, "is_reverse": true}} | 14,812 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = u + 9; g = j + 13; v = l + 8; l = u + 1; c = v + 13; d = c + 10; q = x + 13; x = y + 11; y = h + 12; u = 6; a = o + 8; o = d + 19; h = g + 11. Given that u = 6, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 19 to a, which gives a = d + 27.\n2. Substitute d = c + 10 to a, which gives a = c + 37.\n3. Substitute c = v + 13 to a, which gives a = v + 50.\n4. Substitute v = l + 8 to a, which gives a = l + 58.\n5. Substitute l = u + 1 to a, which gives a = u + 59.\n6. Substitute u = 6 to a, which gives a = 65.\n\nThus, the final answer is a = \\boxed{65}.",
"index": 14812,
"question": "Suppose a collection of variables is related by the following definitions: j = u + 9; g = j + 13; v = l + 8; l = u + 1; c = v + 13; d = c + 10; q = x + 13; x = y + 11; y = h + 12; u = 6; a = o + 8; o = d + 19; h = g + 11. Given that u = 6, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"b": "q + 20", "g": "b + 1", "l": "g + 11", "u": "l + 7", "v": "u + 8", "s": "v + 7", "x": "q + 18", "t": "x + 1", "p": "t + 20", "c": "p + 15", "e": "c + 9", "j": "e + 14", "q": 2}, "premises": {"q": 2}, "target": "s"}, "answer": {"steps": [["v", "u + 8", "u + 15"], ["u", "l + 7", "l + 22"], ["l", "g + 11", "g + 33"], ["g", "b + 1", "b + 34"], ["b", "q + 20", "q + 54"], ["q", 2, "56"]], "target_var_name": "s", "target_value": 56, "value_dict": {"q": 2}, "is_reverse": true}} | 14,813 | 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 = q + 18; j = e + 14; b = q + 20; p = t + 20; s = v + 7; q = 2; g = b + 1; v = u + 8; t = x + 1; u = l + 7; l = g + 11; e = c + 9; c = p + 15. If q = 2, what is the resulting value of s?",
"role": "user"
... | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 8 to s, which gives s = u + 15.\n2. Substitute u = l + 7 to s, which gives s = l + 22.\n3. Substitute l = g + 11 to s, which gives s = g + 33.\n4. Substitute g = b + 1 to s, which gives s = b + 34.\n5. Substitute b = q + 20 to s, which gives s = q + 54.\n6. Substitute q = 2 to s, which gives s = 56.\n\nThus, the final answer is s = \\boxed{56}.",
"index": 14813,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = q + 18; j = e + 14; b = q + 20; p = t + 20; s = v + 7; q = 2; g = b + 1; v = u + 8; t = x + 1; u = l + 7; l = g + 11; e = c + 9; c = p + 15. If q = 2, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"n": "i + 17", "v": "n + 9", "d": "v + 9", "f": "d + 8", "e": "f + 3", "z": "e + 8", "p": "i + 8", "w": "p + 17", "c": "w + 20", "g": "c + 18", "t": "g + 11", "q": "t + 20", "i": 8}, "premises": {"i": 8}, "target": "z"}, "answer": {"steps": [["e", "f + 3", "f + 11"], ["f", "d + 8", "d + 19"], ["d", "v + 9", "v + 28"], ["v", "n + 9", "n + 37"], ["n", "i + 17", "i + 54"], ["i", 8, "62"]], "target_var_name": "z", "target_value": 62, "value_dict": {"i": 8}, "is_reverse": true}} | 14,814 | 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 = w + 20; g = c + 18; t = g + 11; e = f + 3; q = t + 20; w = p + 17; n = i + 17; d = v + 9; v = n + 9; p = i + 8; i = 8; z = e + 8; f = d + 8. If i = 8, what is the resulting value of z?",
"role": "user"
... | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 3 to z, which gives z = f + 11.\n2. Substitute f = d + 8 to z, which gives z = d + 19.\n3. Substitute d = v + 9 to z, which gives z = v + 28.\n4. Substitute v = n + 9 to z, which gives z = n + 37.\n5. Substitute n = i + 17 to z, which gives z = i + 54.\n6. Substitute i = 8 to z, which gives z = 62.\n\nThus, the final answer is z = \\boxed{62}.",
"index": 14814,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = w + 20; g = c + 18; t = g + 11; e = f + 3; q = t + 20; w = p + 17; n = i + 17; d = v + 9; v = n + 9; p = i + 8; i = 8; z = e + 8; f = d + 8. If i = 8, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"y": "a + 20", "x": "y + 12", "c": "x + 13", "j": "c + 1", "n": "j + 7", "i": "n + 17", "m": "a + 1", "s": "m + 7", "e": "s + 2", "t": "e + 13", "o": "t + 2", "w": "o + 19", "a": 15}, "premises": {"a": 15}, "target": "i"}, "answer": {"steps": [["n", "j + 7", "j + 24"], ["j", "c + 1", "c + 25"], ["c", "x + 13", "x + 38"], ["x", "y + 12", "y + 50"], ["y", "a + 20", "a + 70"], ["a", 15, "85"]], "target_var_name": "i", "target_value": 85, "value_dict": {"a": 15}, "is_reverse": true}} | 14,815 | 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 = x + 13; t = e + 13; a = 15; s = m + 7; x = y + 12; w = o + 19; e = s + 2; o = t + 2; n = j + 7; i = n + 17; j = c + 1; y = a + 20; m = a + 1. If a = 15, what is the resulting value of i?",
"role": "user... | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 7 to i, which gives i = j + 24.\n2. Substitute j = c + 1 to i, which gives i = c + 25.\n3. Substitute c = x + 13 to i, which gives i = x + 38.\n4. Substitute x = y + 12 to i, which gives i = y + 50.\n5. Substitute y = a + 20 to i, which gives i = a + 70.\n6. Substitute a = 15 to i, which gives i = 85.\n\nThus, the final answer is i = \\boxed{85}.",
"index": 14815,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = x + 13; t = e + 13; a = 15; s = m + 7; x = y + 12; w = o + 19; e = s + 2; o = t + 2; n = j + 7; i = n + 17; j = c + 1; y = a + 20; m = a + 1. If a = 15, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 6", "j": "k + 14", "s": "j + 6", "g": "s + 11", "t": "g + 14", "e": "t + 4", "f": "a + 1", "h": "f + 12", "r": "h + 5", "w": "r + 18", "y": "w + 1", "n": "y + 13", "a": 7}, "premises": {"a": 7}, "target": "e"}, "answer": {"steps": [["t", "g + 14", "g + 18"], ["g", "s + 11", "s + 29"], ["s", "j + 6", "j + 35"], ["j", "k + 14", "k + 49"], ["k", "a + 6", "a + 55"], ["a", 7, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"a": 7}, "is_reverse": true}} | 14,816 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = g + 14; r = h + 5; a = 7; h = f + 12; e = t + 4; f = a + 1; k = a + 6; s = j + 6; w = r + 18; g = s + 11; y = w + 1; n = y + 13; j = k + 14. Given that a = 7, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 14 to e, which gives e = g + 18.\n2. Substitute g = s + 11 to e, which gives e = s + 29.\n3. Substitute s = j + 6 to e, which gives e = j + 35.\n4. Substitute j = k + 14 to e, which gives e = k + 49.\n5. Substitute k = a + 6 to e, which gives e = a + 55.\n6. Substitute a = 7 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 14816,
"question": "Suppose a collection of variables is related by the following definitions: t = g + 14; r = h + 5; a = 7; h = f + 12; e = t + 4; f = a + 1; k = a + 6; s = j + 6; w = r + 18; g = s + 11; y = w + 1; n = y + 13; j = k + 14. Given that a = 7, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"a": "e + 8", "r": "a + 13", "x": "r + 15", "i": "x + 20", "c": "i + 5", "d": "c + 11", "h": "e + 3", "z": "h + 6", "v": "z + 14", "q": "v + 19", "j": "q + 17", "g": "j + 13", "e": 17}, "premises": {"e": 17}, "target": "d"}, "answer": {"steps": [["c", "i + 5", "i + 16"], ["i", "x + 20", "x + 36"], ["x", "r + 15", "r + 51"], ["r", "a + 13", "a + 64"], ["a", "e + 8", "e + 72"], ["e", 17, "89"]], "target_var_name": "d", "target_value": 89, "value_dict": {"e": 17}, "is_reverse": true}} | 14,817 | 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 = z + 14; q = v + 19; d = c + 11; r = a + 13; g = j + 13; i = x + 20; e = 17; h = e + 3; c = i + 5; z = h + 6; x = r + 15; j = q + 17; a = e + 8. If e = 17, what is the resulting value of d?",
"role": "us... | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 5 to d, which gives d = i + 16.\n2. Substitute i = x + 20 to d, which gives d = x + 36.\n3. Substitute x = r + 15 to d, which gives d = r + 51.\n4. Substitute r = a + 13 to d, which gives d = a + 64.\n5. Substitute a = e + 8 to d, which gives d = e + 72.\n6. Substitute e = 17 to d, which gives d = 89.\n\nThus, the final answer is d = \\boxed{89}.",
"index": 14817,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = z + 14; q = v + 19; d = c + 11; r = a + 13; g = j + 13; i = x + 20; e = 17; h = e + 3; c = i + 5; z = h + 6; x = r + 15; j = q + 17; a = e + 8. If e = 17, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 2", "m": "n + 10", "y": "m + 5", "w": "y + 16", "i": "w + 5", "e": "i + 10", "g": "f + 15", "b": "g + 8", "h": "b + 16", "q": "h + 7", "j": "q + 15", "c": "j + 19", "f": 3}, "premises": {"f": 3}, "target": "e"}, "answer": {"steps": [["i", "w + 5", "w + 15"], ["w", "y + 16", "y + 31"], ["y", "m + 5", "m + 36"], ["m", "n + 10", "n + 46"], ["n", "f + 2", "f + 48"], ["f", 3, "51"]], "target_var_name": "e", "target_value": 51, "value_dict": {"f": 3}, "is_reverse": true}} | 14,818 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = 3; i = w + 5; n = f + 2; b = g + 8; g = f + 15; e = i + 10; q = h + 7; m = n + 10; y = m + 5; j = q + 15; c = j + 19; h = b + 16; w = y + 16. If f = 3, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 5 to e, which gives e = w + 15.\n2. Substitute w = y + 16 to e, which gives e = y + 31.\n3. Substitute y = m + 5 to e, which gives e = m + 36.\n4. Substitute m = n + 10 to e, which gives e = n + 46.\n5. Substitute n = f + 2 to e, which gives e = f + 48.\n6. Substitute f = 3 to e, which gives e = 51.\n\nThus, the final answer is e = \\boxed{51}.",
"index": 14818,
"question": "Consider a system of variables where each variable is defined as follows: f = 3; i = w + 5; n = f + 2; b = g + 8; g = f + 15; e = i + 10; q = h + 7; m = n + 10; y = m + 5; j = q + 15; c = j + 19; h = b + 16; w = y + 16. If f = 3, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"w": "o + 11", "r": "w + 17", "p": "r + 2", "d": "p + 10", "x": "d + 5", "e": "x + 3", "g": "o + 11", "m": "g + 3", "q": "m + 3", "y": "q + 4", "z": "y + 3", "u": "z + 17", "o": 17}, "premises": {"o": 17}, "target": "e"}, "answer": {"steps": [["x", "d + 5", "d + 8"], ["d", "p + 10", "p + 18"], ["p", "r + 2", "r + 20"], ["r", "w + 17", "w + 37"], ["w", "o + 11", "o + 48"], ["o", 17, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"o": 17}, "is_reverse": true}} | 14,819 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = x + 3; q = m + 3; u = z + 17; o = 17; m = g + 3; z = y + 3; d = p + 10; w = o + 11; r = w + 17; y = q + 4; p = r + 2; x = d + 5; g = o + 11. If o = 17, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 5 to e, which gives e = d + 8.\n2. Substitute d = p + 10 to e, which gives e = p + 18.\n3. Substitute p = r + 2 to e, which gives e = r + 20.\n4. Substitute r = w + 17 to e, which gives e = w + 37.\n5. Substitute w = o + 11 to e, which gives e = o + 48.\n6. Substitute o = 17 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 14819,
"question": "Consider a system of variables where each variable is defined as follows: e = x + 3; q = m + 3; u = z + 17; o = 17; m = g + 3; z = y + 3; d = p + 10; w = o + 11; r = w + 17; y = q + 4; p = r + 2; x = d + 5; g = o + 11. If o = 17, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"y": "v + 4", "n": "y + 14", "z": "n + 6", "e": "z + 8", "l": "e + 13", "m": "l + 10", "t": "v + 9", "c": "t + 12", "h": "c + 2", "i": "h + 11", "j": "i + 4", "r": "j + 17", "v": 4}, "premises": {"v": 4}, "target": "m"}, "answer": {"steps": [["l", "e + 13", "e + 23"], ["e", "z + 8", "z + 31"], ["z", "n + 6", "n + 37"], ["n", "y + 14", "y + 51"], ["y", "v + 4", "v + 55"], ["v", 4, "59"]], "target_var_name": "m", "target_value": 59, "value_dict": {"v": 4}, "is_reverse": true}} | 14,820 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = t + 12; z = n + 6; n = y + 14; r = j + 17; i = h + 11; e = z + 8; m = l + 10; y = v + 4; t = v + 9; h = c + 2; j = i + 4; v = 4; l = e + 13. Given that v = 4, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 13 to m, which gives m = e + 23.\n2. Substitute e = z + 8 to m, which gives m = z + 31.\n3. Substitute z = n + 6 to m, which gives m = n + 37.\n4. Substitute n = y + 14 to m, which gives m = y + 51.\n5. Substitute y = v + 4 to m, which gives m = v + 55.\n6. Substitute v = 4 to m, which gives m = 59.\n\nThus, the final answer is m = \\boxed{59}.",
"index": 14820,
"question": "Suppose a collection of variables is related by the following definitions: c = t + 12; z = n + 6; n = y + 14; r = j + 17; i = h + 11; e = z + 8; m = l + 10; y = v + 4; t = v + 9; h = c + 2; j = i + 4; v = 4; l = e + 13. Given that v = 4, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 20", "k": "c + 1", "y": "k + 4", "z": "y + 5", "a": "z + 11", "n": "a + 11", "g": "x + 15", "h": "g + 18", "t": "h + 15", "e": "t + 5", "v": "e + 8", "u": "v + 15", "x": 1}, "premises": {"x": 1}, "target": "n"}, "answer": {"steps": [["a", "z + 11", "z + 22"], ["z", "y + 5", "y + 27"], ["y", "k + 4", "k + 31"], ["k", "c + 1", "c + 32"], ["c", "x + 20", "x + 52"], ["x", 1, "53"]], "target_var_name": "n", "target_value": 53, "value_dict": {"x": 1}, "is_reverse": true}} | 14,821 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = e + 8; x = 1; a = z + 11; h = g + 18; g = x + 15; e = t + 5; k = c + 1; c = x + 20; z = y + 5; t = h + 15; n = a + 11; u = v + 15; y = k + 4. If x = 1, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 11 to n, which gives n = z + 22.\n2. Substitute z = y + 5 to n, which gives n = y + 27.\n3. Substitute y = k + 4 to n, which gives n = k + 31.\n4. Substitute k = c + 1 to n, which gives n = c + 32.\n5. Substitute c = x + 20 to n, which gives n = x + 52.\n6. Substitute x = 1 to n, which gives n = 53.\n\nThus, the final answer is n = \\boxed{53}.",
"index": 14821,
"question": "Consider a system of variables where each variable is defined as follows: v = e + 8; x = 1; a = z + 11; h = g + 18; g = x + 15; e = t + 5; k = c + 1; c = x + 20; z = y + 5; t = h + 15; n = a + 11; u = v + 15; y = k + 4. If x = 1, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 20", "p": "k + 14", "f": "p + 1", "g": "f + 7", "z": "g + 16", "b": "z + 12", "o": "y + 4", "u": "o + 14", "t": "u + 10", "a": "t + 5", "v": "a + 2", "c": "v + 4", "y": 17}, "premises": {"y": 17}, "target": "b"}, "answer": {"steps": [["z", "g + 16", "g + 28"], ["g", "f + 7", "f + 35"], ["f", "p + 1", "p + 36"], ["p", "k + 14", "k + 50"], ["k", "y + 20", "y + 70"], ["y", 17, "87"]], "target_var_name": "b", "target_value": 87, "value_dict": {"y": 17}, "is_reverse": true}} | 14,822 | 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 = f + 7; c = v + 4; z = g + 16; u = o + 14; b = z + 12; o = y + 4; p = k + 14; y = 17; a = t + 5; v = a + 2; t = u + 10; f = p + 1; k = y + 20. If y = 17, what is the resulting value of b?",
"role": "user... | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 16 to b, which gives b = g + 28.\n2. Substitute g = f + 7 to b, which gives b = f + 35.\n3. Substitute f = p + 1 to b, which gives b = p + 36.\n4. Substitute p = k + 14 to b, which gives b = k + 50.\n5. Substitute k = y + 20 to b, which gives b = y + 70.\n6. Substitute y = 17 to b, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 14822,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = f + 7; c = v + 4; z = g + 16; u = o + 14; b = z + 12; o = y + 4; p = k + 14; y = 17; a = t + 5; v = a + 2; t = u + 10; f = p + 1; k = y + 20. If y = 17, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 11", "c": "t + 11", "x": "c + 10", "e": "x + 8", "i": "e + 12", "h": "i + 6", "u": "g + 9", "s": "u + 18", "r": "s + 14", "a": "r + 20", "j": "a + 19", "k": "j + 20", "g": 18}, "premises": {"g": 18}, "target": "h"}, "answer": {"steps": [["i", "e + 12", "e + 18"], ["e", "x + 8", "x + 26"], ["x", "c + 10", "c + 36"], ["c", "t + 11", "t + 47"], ["t", "g + 11", "g + 58"], ["g", 18, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"g": 18}, "is_reverse": true}} | 14,823 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = r + 20; g = 18; h = i + 6; x = c + 10; j = a + 19; c = t + 11; u = g + 9; r = s + 14; i = e + 12; k = j + 20; s = u + 18; t = g + 11; e = x + 8. Given that g = 18, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 12 to h, which gives h = e + 18.\n2. Substitute e = x + 8 to h, which gives h = x + 26.\n3. Substitute x = c + 10 to h, which gives h = c + 36.\n4. Substitute c = t + 11 to h, which gives h = t + 47.\n5. Substitute t = g + 11 to h, which gives h = g + 58.\n6. Substitute g = 18 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 14823,
"question": "Suppose a collection of variables is related by the following definitions: a = r + 20; g = 18; h = i + 6; x = c + 10; j = a + 19; c = t + 11; u = g + 9; r = s + 14; i = e + 12; k = j + 20; s = u + 18; t = g + 11; e = x + 8. Given that g = 18, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 19", "a": "c + 8", "t": "a + 20", "h": "t + 7", "k": "h + 7", "l": "k + 19", "q": "m + 19", "r": "q + 3", "j": "r + 1", "p": "j + 15", "n": "p + 2", "b": "n + 10", "m": 3}, "premises": {"m": 3}, "target": "l"}, "answer": {"steps": [["k", "h + 7", "h + 26"], ["h", "t + 7", "t + 33"], ["t", "a + 20", "a + 53"], ["a", "c + 8", "c + 61"], ["c", "m + 19", "m + 80"], ["m", 3, "83"]], "target_var_name": "l", "target_value": 83, "value_dict": {"m": 3}, "is_reverse": true}} | 14,824 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = r + 1; k = h + 7; r = q + 3; c = m + 19; n = p + 2; q = m + 19; t = a + 20; l = k + 19; a = c + 8; m = 3; h = t + 7; b = n + 10; p = j + 15. If m = 3, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 7 to l, which gives l = h + 26.\n2. Substitute h = t + 7 to l, which gives l = t + 33.\n3. Substitute t = a + 20 to l, which gives l = a + 53.\n4. Substitute a = c + 8 to l, which gives l = c + 61.\n5. Substitute c = m + 19 to l, which gives l = m + 80.\n6. Substitute m = 3 to l, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 14824,
"question": "Consider a system of variables where each variable is defined as follows: j = r + 1; k = h + 7; r = q + 3; c = m + 19; n = p + 2; q = m + 19; t = a + 20; l = k + 19; a = c + 8; m = 3; h = t + 7; b = n + 10; p = j + 15. If m = 3, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 6", "z": "w + 3", "y": "z + 12", "u": "y + 7", "r": "u + 2", "a": "r + 12", "q": "x + 17", "d": "q + 14", "t": "d + 8", "g": "t + 15", "f": "g + 15", "v": "f + 6", "x": 18}, "premises": {"x": 18}, "target": "a"}, "answer": {"steps": [["r", "u + 2", "u + 14"], ["u", "y + 7", "y + 21"], ["y", "z + 12", "z + 33"], ["z", "w + 3", "w + 36"], ["w", "x + 6", "x + 42"], ["x", 18, "60"]], "target_var_name": "a", "target_value": 60, "value_dict": {"x": 18}, "is_reverse": true}} | 14,825 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = z + 12; q = x + 17; a = r + 12; v = f + 6; w = x + 6; u = y + 7; z = w + 3; d = q + 14; r = u + 2; x = 18; g = t + 15; t = d + 8; f = g + 15. If x = 18, what is the resulting value of a?",
"role": "user... | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 2 to a, which gives a = u + 14.\n2. Substitute u = y + 7 to a, which gives a = y + 21.\n3. Substitute y = z + 12 to a, which gives a = z + 33.\n4. Substitute z = w + 3 to a, which gives a = w + 36.\n5. Substitute w = x + 6 to a, which gives a = x + 42.\n6. Substitute x = 18 to a, which gives a = 60.\n\nThus, the final answer is a = \\boxed{60}.",
"index": 14825,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = z + 12; q = x + 17; a = r + 12; v = f + 6; w = x + 6; u = y + 7; z = w + 3; d = q + 14; r = u + 2; x = 18; g = t + 15; t = d + 8; f = g + 15. If x = 18, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 19", "s": "v + 20", "g": "s + 13", "r": "g + 14", "y": "r + 4", "j": "y + 8", "p": "e + 16", "f": "p + 4", "k": "f + 8", "u": "k + 1", "c": "u + 9", "l": "c + 7", "e": 1}, "premises": {"e": 1}, "target": "j"}, "answer": {"steps": [["y", "r + 4", "r + 12"], ["r", "g + 14", "g + 26"], ["g", "s + 13", "s + 39"], ["s", "v + 20", "v + 59"], ["v", "e + 19", "e + 78"], ["e", 1, "79"]], "target_var_name": "j", "target_value": 79, "value_dict": {"e": 1}, "is_reverse": true}} | 14,826 | 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 = e + 19; c = u + 9; k = f + 8; u = k + 1; f = p + 4; r = g + 14; l = c + 7; g = s + 13; s = v + 20; e = 1; p = e + 16; j = y + 8; y = r + 4. If e = 1, what is the resulting value of j?",
"role": "user"
... | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 4 to j, which gives j = r + 12.\n2. Substitute r = g + 14 to j, which gives j = g + 26.\n3. Substitute g = s + 13 to j, which gives j = s + 39.\n4. Substitute s = v + 20 to j, which gives j = v + 59.\n5. Substitute v = e + 19 to j, which gives j = e + 78.\n6. Substitute e = 1 to j, which gives j = 79.\n\nThus, the final answer is j = \\boxed{79}.",
"index": 14826,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 19; c = u + 9; k = f + 8; u = k + 1; f = p + 4; r = g + 14; l = c + 7; g = s + 13; s = v + 20; e = 1; p = e + 16; j = y + 8; y = r + 4. If e = 1, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"v": "s + 6", "n": "v + 6", "u": "n + 20", "c": "u + 11", "y": "c + 19", "a": "y + 19", "o": "s + 14", "i": "o + 19", "k": "i + 14", "m": "k + 10", "t": "m + 11", "e": "t + 19", "s": 10}, "premises": {"s": 10}, "target": "a"}, "answer": {"steps": [["y", "c + 19", "c + 38"], ["c", "u + 11", "u + 49"], ["u", "n + 20", "n + 69"], ["n", "v + 6", "v + 75"], ["v", "s + 6", "s + 81"], ["s", 10, "91"]], "target_var_name": "a", "target_value": 91, "value_dict": {"s": 10}, "is_reverse": true}} | 14,827 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = s + 14; e = t + 19; u = n + 20; c = u + 11; n = v + 6; a = y + 19; s = 10; v = s + 6; t = m + 11; i = o + 19; m = k + 10; y = c + 19; k = i + 14. Given that s = 10, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 19 to a, which gives a = c + 38.\n2. Substitute c = u + 11 to a, which gives a = u + 49.\n3. Substitute u = n + 20 to a, which gives a = n + 69.\n4. Substitute n = v + 6 to a, which gives a = v + 75.\n5. Substitute v = s + 6 to a, which gives a = s + 81.\n6. Substitute s = 10 to a, which gives a = 91.\n\nThus, the final answer is a = \\boxed{91}.",
"index": 14827,
"question": "Suppose a collection of variables is related by the following definitions: o = s + 14; e = t + 19; u = n + 20; c = u + 11; n = v + 6; a = y + 19; s = 10; v = s + 6; t = m + 11; i = o + 19; m = k + 10; y = c + 19; k = i + 14. Given that s = 10, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 15", "c": "v + 20", "y": "c + 8", "a": "y + 8", "r": "a + 20", "z": "r + 17", "o": "x + 12", "l": "o + 4", "p": "l + 16", "e": "p + 15", "s": "e + 19", "q": "s + 14", "x": 12}, "premises": {"x": 12}, "target": "z"}, "answer": {"steps": [["r", "a + 20", "a + 37"], ["a", "y + 8", "y + 45"], ["y", "c + 8", "c + 53"], ["c", "v + 20", "v + 73"], ["v", "x + 15", "x + 88"], ["x", 12, "100"]], "target_var_name": "z", "target_value": 100, "value_dict": {"x": 12}, "is_reverse": true}} | 14,828 | 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 = x + 12; l = o + 4; p = l + 16; z = r + 17; x = 12; e = p + 15; c = v + 20; s = e + 19; v = x + 15; q = s + 14; a = y + 8; r = a + 20; y = c + 8. If x = 12, what is the resulting value of z?",
"role": "u... | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 20 to z, which gives z = a + 37.\n2. Substitute a = y + 8 to z, which gives z = y + 45.\n3. Substitute y = c + 8 to z, which gives z = c + 53.\n4. Substitute c = v + 20 to z, which gives z = v + 73.\n5. Substitute v = x + 15 to z, which gives z = x + 88.\n6. Substitute x = 12 to z, which gives z = 100.\n\nThus, the final answer is z = \\boxed{100}.",
"index": 14828,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = x + 12; l = o + 4; p = l + 16; z = r + 17; x = 12; e = p + 15; c = v + 20; s = e + 19; v = x + 15; q = s + 14; a = y + 8; r = a + 20; y = c + 8. If x = 12, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 2", "y": "m + 18", "j": "y + 2", "n": "j + 5", "r": "n + 18", "i": "r + 4", "h": "p + 2", "e": "h + 7", "l": "e + 1", "f": "l + 19", "q": "f + 14", "s": "q + 8", "p": 11}, "premises": {"p": 11}, "target": "i"}, "answer": {"steps": [["r", "n + 18", "n + 22"], ["n", "j + 5", "j + 27"], ["j", "y + 2", "y + 29"], ["y", "m + 18", "m + 47"], ["m", "p + 2", "p + 49"], ["p", 11, "60"]], "target_var_name": "i", "target_value": 60, "value_dict": {"p": 11}, "is_reverse": true}} | 14,829 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = p + 2; q = f + 14; h = p + 2; n = j + 5; f = l + 19; l = e + 1; y = m + 18; j = y + 2; e = h + 7; r = n + 18; s = q + 8; i = r + 4; p = 11. If p = 11, what is the resulting value of i?",
"role": "user"
... | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 18 to i, which gives i = n + 22.\n2. Substitute n = j + 5 to i, which gives i = j + 27.\n3. Substitute j = y + 2 to i, which gives i = y + 29.\n4. Substitute y = m + 18 to i, which gives i = m + 47.\n5. Substitute m = p + 2 to i, which gives i = p + 49.\n6. Substitute p = 11 to i, which gives i = 60.\n\nThus, the final answer is i = \\boxed{60}.",
"index": 14829,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = p + 2; q = f + 14; h = p + 2; n = j + 5; f = l + 19; l = e + 1; y = m + 18; j = y + 2; e = h + 7; r = n + 18; s = q + 8; i = r + 4; p = 11. If p = 11, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 12", "z": "k + 18", "b": "z + 7", "h": "b + 6", "q": "h + 1", "u": "q + 16", "n": "s + 6", "e": "n + 17", "j": "e + 13", "t": "j + 17", "l": "t + 7", "c": "l + 15", "s": 13}, "premises": {"s": 13}, "target": "u"}, "answer": {"steps": [["q", "h + 1", "h + 17"], ["h", "b + 6", "b + 23"], ["b", "z + 7", "z + 30"], ["z", "k + 18", "k + 48"], ["k", "s + 12", "s + 60"], ["s", 13, "73"]], "target_var_name": "u", "target_value": 73, "value_dict": {"s": 13}, "is_reverse": true}} | 14,830 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = b + 6; n = s + 6; j = e + 13; b = z + 7; z = k + 18; q = h + 1; u = q + 16; l = t + 7; c = l + 15; e = n + 17; t = j + 17; s = 13; k = s + 12. If s = 13, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 1 to u, which gives u = h + 17.\n2. Substitute h = b + 6 to u, which gives u = b + 23.\n3. Substitute b = z + 7 to u, which gives u = z + 30.\n4. Substitute z = k + 18 to u, which gives u = k + 48.\n5. Substitute k = s + 12 to u, which gives u = s + 60.\n6. Substitute s = 13 to u, which gives u = 73.\n\nThus, the final answer is u = \\boxed{73}.",
"index": 14830,
"question": "Consider a system of variables where each variable is defined as follows: h = b + 6; n = s + 6; j = e + 13; b = z + 7; z = k + 18; q = h + 1; u = q + 16; l = t + 7; c = l + 15; e = n + 17; t = j + 17; s = 13; k = s + 12. If s = 13, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 10", "e": "o + 10", "l": "e + 20", "x": "l + 7", "p": "x + 14", "k": "p + 2", "t": "g + 10", "r": "t + 14", "s": "r + 17", "j": "s + 6", "v": "j + 1", "i": "v + 16", "g": 15}, "premises": {"g": 15}, "target": "k"}, "answer": {"steps": [["p", "x + 14", "x + 16"], ["x", "l + 7", "l + 23"], ["l", "e + 20", "e + 43"], ["e", "o + 10", "o + 53"], ["o", "g + 10", "g + 63"], ["g", 15, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"g": 15}, "is_reverse": true}} | 14,831 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = j + 1; s = r + 17; r = t + 14; j = s + 6; i = v + 16; x = l + 7; l = e + 20; k = p + 2; e = o + 10; p = x + 14; g = 15; o = g + 10; t = g + 10. If g = 15, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 14 to k, which gives k = x + 16.\n2. Substitute x = l + 7 to k, which gives k = l + 23.\n3. Substitute l = e + 20 to k, which gives k = e + 43.\n4. Substitute e = o + 10 to k, which gives k = o + 53.\n5. Substitute o = g + 10 to k, which gives k = g + 63.\n6. Substitute g = 15 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 14831,
"question": "Consider a system of variables where each variable is defined as follows: v = j + 1; s = r + 17; r = t + 14; j = s + 6; i = v + 16; x = l + 7; l = e + 20; k = p + 2; e = o + 10; p = x + 14; g = 15; o = g + 10; t = g + 10. If g = 15, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"b": "f + 19", "y": "b + 7", "l": "y + 9", "h": "l + 2", "o": "h + 7", "m": "o + 18", "n": "f + 19", "g": "n + 10", "d": "g + 3", "i": "d + 14", "c": "i + 7", "q": "c + 9", "f": 18}, "premises": {"f": 18}, "target": "m"}, "answer": {"steps": [["o", "h + 7", "h + 25"], ["h", "l + 2", "l + 27"], ["l", "y + 9", "y + 36"], ["y", "b + 7", "b + 43"], ["b", "f + 19", "f + 62"], ["f", 18, "80"]], "target_var_name": "m", "target_value": 80, "value_dict": {"f": 18}, "is_reverse": true}} | 14,832 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = y + 9; y = b + 7; q = c + 9; m = o + 18; i = d + 14; h = l + 2; c = i + 7; d = g + 3; f = 18; b = f + 19; o = h + 7; n = f + 19; g = n + 10. If f = 18, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 7 to m, which gives m = h + 25.\n2. Substitute h = l + 2 to m, which gives m = l + 27.\n3. Substitute l = y + 9 to m, which gives m = y + 36.\n4. Substitute y = b + 7 to m, which gives m = b + 43.\n5. Substitute b = f + 19 to m, which gives m = f + 62.\n6. Substitute f = 18 to m, which gives m = 80.\n\nThus, the final answer is m = \\boxed{80}.",
"index": 14832,
"question": "Consider a system of variables where each variable is defined as follows: l = y + 9; y = b + 7; q = c + 9; m = o + 18; i = d + 14; h = l + 2; c = i + 7; d = g + 3; f = 18; b = f + 19; o = h + 7; n = f + 19; g = n + 10. If f = 18, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"l": "z + 8", "c": "l + 12", "n": "c + 19", "j": "n + 10", "a": "j + 17", "r": "a + 18", "p": "z + 19", "e": "p + 2", "t": "e + 14", "k": "t + 11", "i": "k + 3", "m": "i + 2", "z": 12}, "premises": {"z": 12}, "target": "r"}, "answer": {"steps": [["a", "j + 17", "j + 35"], ["j", "n + 10", "n + 45"], ["n", "c + 19", "c + 64"], ["c", "l + 12", "l + 76"], ["l", "z + 8", "z + 84"], ["z", 12, "96"]], "target_var_name": "r", "target_value": 96, "value_dict": {"z": 12}, "is_reverse": true}} | 14,833 | 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 = a + 18; t = e + 14; c = l + 12; z = 12; l = z + 8; i = k + 3; p = z + 19; a = j + 17; n = c + 19; j = n + 10; m = i + 2; e = p + 2; k = t + 11. If z = 12, what is the resulting value of r?",
"role": "us... | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 17 to r, which gives r = j + 35.\n2. Substitute j = n + 10 to r, which gives r = n + 45.\n3. Substitute n = c + 19 to r, which gives r = c + 64.\n4. Substitute c = l + 12 to r, which gives r = l + 76.\n5. Substitute l = z + 8 to r, which gives r = z + 84.\n6. Substitute z = 12 to r, which gives r = 96.\n\nThus, the final answer is r = \\boxed{96}.",
"index": 14833,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = a + 18; t = e + 14; c = l + 12; z = 12; l = z + 8; i = k + 3; p = z + 19; a = j + 17; n = c + 19; j = n + 10; m = i + 2; e = p + 2; k = t + 11. If z = 12, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 10", "u": "r + 14", "q": "u + 7", "z": "q + 12", "p": "z + 6", "w": "p + 18", "d": "o + 5", "l": "d + 1", "c": "l + 8", "k": "c + 1", "a": "k + 15", "s": "a + 7", "o": 13}, "premises": {"o": 13}, "target": "w"}, "answer": {"steps": [["p", "z + 6", "z + 24"], ["z", "q + 12", "q + 36"], ["q", "u + 7", "u + 43"], ["u", "r + 14", "r + 57"], ["r", "o + 10", "o + 67"], ["o", 13, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"o": 13}, "is_reverse": true}} | 14,834 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = o + 10; p = z + 6; l = d + 1; q = u + 7; c = l + 8; z = q + 12; o = 13; w = p + 18; a = k + 15; k = c + 1; d = o + 5; u = r + 14; s = a + 7. If o = 13, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 6 to w, which gives w = z + 24.\n2. Substitute z = q + 12 to w, which gives w = q + 36.\n3. Substitute q = u + 7 to w, which gives w = u + 43.\n4. Substitute u = r + 14 to w, which gives w = r + 57.\n5. Substitute r = o + 10 to w, which gives w = o + 67.\n6. Substitute o = 13 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 14834,
"question": "Consider a system of variables where each variable is defined as follows: r = o + 10; p = z + 6; l = d + 1; q = u + 7; c = l + 8; z = q + 12; o = 13; w = p + 18; a = k + 15; k = c + 1; d = o + 5; u = r + 14; s = a + 7. If o = 13, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 14", "z": "a + 17", "v": "z + 19", "d": "v + 10", "i": "d + 19", "c": "i + 18", "u": "p + 13", "n": "u + 2", "e": "n + 12", "f": "e + 8", "y": "f + 17", "o": "y + 1", "p": 11}, "premises": {"p": 11}, "target": "c"}, "answer": {"steps": [["i", "d + 19", "d + 37"], ["d", "v + 10", "v + 47"], ["v", "z + 19", "z + 66"], ["z", "a + 17", "a + 83"], ["a", "p + 14", "p + 97"], ["p", 11, "108"]], "target_var_name": "c", "target_value": 108, "value_dict": {"p": 11}, "is_reverse": true}} | 14,835 | 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 + 19; e = n + 12; c = i + 18; f = e + 8; a = p + 14; u = p + 13; y = f + 17; o = y + 1; v = z + 19; n = u + 2; z = a + 17; p = 11; d = v + 10. If p = 11, what is the resulting value of c?",
"role": "u... | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 19 to c, which gives c = d + 37.\n2. Substitute d = v + 10 to c, which gives c = v + 47.\n3. Substitute v = z + 19 to c, which gives c = z + 66.\n4. Substitute z = a + 17 to c, which gives c = a + 83.\n5. Substitute a = p + 14 to c, which gives c = p + 97.\n6. Substitute p = 11 to c, which gives c = 108.\n\nThus, the final answer is c = \\boxed{108}.",
"index": 14835,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 19; e = n + 12; c = i + 18; f = e + 8; a = p + 14; u = p + 13; y = f + 17; o = y + 1; v = z + 19; n = u + 2; z = a + 17; p = 11; d = v + 10. If p = 11, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 15", "d": "v + 17", "k": "d + 10", "q": "k + 5", "o": "q + 20", "c": "o + 20", "i": "x + 8", "r": "i + 3", "g": "r + 16", "p": "g + 17", "y": "p + 19", "u": "y + 10", "x": 3}, "premises": {"x": 3}, "target": "c"}, "answer": {"steps": [["o", "q + 20", "q + 40"], ["q", "k + 5", "k + 45"], ["k", "d + 10", "d + 55"], ["d", "v + 17", "v + 72"], ["v", "x + 15", "x + 87"], ["x", 3, "90"]], "target_var_name": "c", "target_value": 90, "value_dict": {"x": 3}, "is_reverse": true}} | 14,836 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = o + 20; k = d + 10; r = i + 3; p = g + 17; y = p + 19; g = r + 16; o = q + 20; x = 3; q = k + 5; v = x + 15; i = x + 8; u = y + 10; d = v + 17. If x = 3, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 20 to c, which gives c = q + 40.\n2. Substitute q = k + 5 to c, which gives c = k + 45.\n3. Substitute k = d + 10 to c, which gives c = d + 55.\n4. Substitute d = v + 17 to c, which gives c = v + 72.\n5. Substitute v = x + 15 to c, which gives c = x + 87.\n6. Substitute x = 3 to c, which gives c = 90.\n\nThus, the final answer is c = \\boxed{90}.",
"index": 14836,
"question": "Consider a system of variables where each variable is defined as follows: c = o + 20; k = d + 10; r = i + 3; p = g + 17; y = p + 19; g = r + 16; o = q + 20; x = 3; q = k + 5; v = x + 15; i = x + 8; u = y + 10; d = v + 17. If x = 3, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 1", "a": "h + 16", "c": "a + 3", "g": "c + 19", "o": "g + 15", "j": "o + 1", "z": "e + 19", "u": "z + 20", "y": "u + 15", "i": "y + 12", "b": "i + 8", "q": "b + 5", "e": 17}, "premises": {"e": 17}, "target": "j"}, "answer": {"steps": [["o", "g + 15", "g + 16"], ["g", "c + 19", "c + 35"], ["c", "a + 3", "a + 38"], ["a", "h + 16", "h + 54"], ["h", "e + 1", "e + 55"], ["e", 17, "72"]], "target_var_name": "j", "target_value": 72, "value_dict": {"e": 17}, "is_reverse": true}} | 14,837 | 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; g = c + 19; b = i + 8; u = z + 20; a = h + 16; y = u + 15; i = y + 12; h = e + 1; c = a + 3; z = e + 19; e = 17; q = b + 5; j = o + 1. Given that e = 17, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 15 to j, which gives j = g + 16.\n2. Substitute g = c + 19 to j, which gives j = c + 35.\n3. Substitute c = a + 3 to j, which gives j = a + 38.\n4. Substitute a = h + 16 to j, which gives j = h + 54.\n5. Substitute h = e + 1 to j, which gives j = e + 55.\n6. Substitute e = 17 to j, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 14837,
"question": "Suppose a collection of variables is related by the following definitions: o = g + 15; g = c + 19; b = i + 8; u = z + 20; a = h + 16; y = u + 15; i = y + 12; h = e + 1; c = a + 3; z = e + 19; e = 17; q = b + 5; j = o + 1. Given that e = 17, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 15", "s": "k + 16", "l": "s + 10", "p": "l + 19", "a": "p + 5", "q": "a + 9", "h": "m + 5", "w": "h + 5", "n": "w + 9", "e": "n + 2", "y": "e + 7", "f": "y + 9", "m": 3}, "premises": {"m": 3}, "target": "q"}, "answer": {"steps": [["a", "p + 5", "p + 14"], ["p", "l + 19", "l + 33"], ["l", "s + 10", "s + 43"], ["s", "k + 16", "k + 59"], ["k", "m + 15", "m + 74"], ["m", 3, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"m": 3}, "is_reverse": true}} | 14,838 | 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 = y + 9; p = l + 19; y = e + 7; w = h + 5; l = s + 10; a = p + 5; s = k + 16; k = m + 15; q = a + 9; e = n + 2; n = w + 9; m = 3; h = m + 5. If m = 3, what is the resulting value of q?",
"role": "user"
... | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 5 to q, which gives q = p + 14.\n2. Substitute p = l + 19 to q, which gives q = l + 33.\n3. Substitute l = s + 10 to q, which gives q = s + 43.\n4. Substitute s = k + 16 to q, which gives q = k + 59.\n5. Substitute k = m + 15 to q, which gives q = m + 74.\n6. Substitute m = 3 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 14838,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 9; p = l + 19; y = e + 7; w = h + 5; l = s + 10; a = p + 5; s = k + 16; k = m + 15; q = a + 9; e = n + 2; n = w + 9; m = 3; h = m + 5. If m = 3, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"t": "r + 11", "s": "t + 18", "g": "s + 7", "h": "g + 8", "n": "h + 6", "y": "n + 9", "j": "r + 14", "c": "j + 6", "i": "c + 16", "e": "i + 17", "f": "e + 3", "m": "f + 4", "r": 13}, "premises": {"r": 13}, "target": "y"}, "answer": {"steps": [["n", "h + 6", "h + 15"], ["h", "g + 8", "g + 23"], ["g", "s + 7", "s + 30"], ["s", "t + 18", "t + 48"], ["t", "r + 11", "r + 59"], ["r", 13, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"r": 13}, "is_reverse": true}} | 14,839 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = h + 6; m = f + 4; i = c + 16; j = r + 14; h = g + 8; r = 13; c = j + 6; t = r + 11; y = n + 9; f = e + 3; e = i + 17; s = t + 18; g = s + 7. If r = 13, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 6 to y, which gives y = h + 15.\n2. Substitute h = g + 8 to y, which gives y = g + 23.\n3. Substitute g = s + 7 to y, which gives y = s + 30.\n4. Substitute s = t + 18 to y, which gives y = t + 48.\n5. Substitute t = r + 11 to y, which gives y = r + 59.\n6. Substitute r = 13 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 14839,
"question": "Consider a system of variables where each variable is defined as follows: n = h + 6; m = f + 4; i = c + 16; j = r + 14; h = g + 8; r = 13; c = j + 6; t = r + 11; y = n + 9; f = e + 3; e = i + 17; s = t + 18; g = s + 7. If r = 13, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 4", "h": "z + 4", "d": "h + 18", "q": "d + 1", "k": "q + 13", "r": "k + 16", "n": "b + 12", "x": "n + 5", "p": "x + 9", "u": "p + 6", "l": "u + 18", "o": "l + 17", "b": 7}, "premises": {"b": 7}, "target": "r"}, "answer": {"steps": [["k", "q + 13", "q + 29"], ["q", "d + 1", "d + 30"], ["d", "h + 18", "h + 48"], ["h", "z + 4", "z + 52"], ["z", "b + 4", "b + 56"], ["b", 7, "63"]], "target_var_name": "r", "target_value": 63, "value_dict": {"b": 7}, "is_reverse": true}} | 14,840 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 12; p = x + 9; r = k + 16; b = 7; l = u + 18; h = z + 4; x = n + 5; u = p + 6; z = b + 4; q = d + 1; d = h + 18; o = l + 17; k = q + 13. If b = 7, what is the resulting value of r?",
"role": "user"
... | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 13 to r, which gives r = q + 29.\n2. Substitute q = d + 1 to r, which gives r = d + 30.\n3. Substitute d = h + 18 to r, which gives r = h + 48.\n4. Substitute h = z + 4 to r, which gives r = z + 52.\n5. Substitute z = b + 4 to r, which gives r = b + 56.\n6. Substitute b = 7 to r, which gives r = 63.\n\nThus, the final answer is r = \\boxed{63}.",
"index": 14840,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 12; p = x + 9; r = k + 16; b = 7; l = u + 18; h = z + 4; x = n + 5; u = p + 6; z = b + 4; q = d + 1; d = h + 18; o = l + 17; k = q + 13. If b = 7, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 6", "f": "s + 18", "i": "f + 8", "j": "i + 6", "q": "j + 11", "p": "q + 6", "a": "h + 1", "m": "a + 16", "d": "m + 16", "v": "d + 3", "b": "v + 7", "r": "b + 8", "h": 1}, "premises": {"h": 1}, "target": "p"}, "answer": {"steps": [["q", "j + 11", "j + 17"], ["j", "i + 6", "i + 23"], ["i", "f + 8", "f + 31"], ["f", "s + 18", "s + 49"], ["s", "h + 6", "h + 55"], ["h", 1, "56"]], "target_var_name": "p", "target_value": 56, "value_dict": {"h": 1}, "is_reverse": true}} | 14,841 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = m + 16; m = a + 16; j = i + 6; b = v + 7; r = b + 8; s = h + 6; q = j + 11; f = s + 18; v = d + 3; h = 1; a = h + 1; p = q + 6; i = f + 8. Given that h = 1, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 11 to p, which gives p = j + 17.\n2. Substitute j = i + 6 to p, which gives p = i + 23.\n3. Substitute i = f + 8 to p, which gives p = f + 31.\n4. Substitute f = s + 18 to p, which gives p = s + 49.\n5. Substitute s = h + 6 to p, which gives p = h + 55.\n6. Substitute h = 1 to p, which gives p = 56.\n\nThus, the final answer is p = \\boxed{56}.",
"index": 14841,
"question": "Suppose a collection of variables is related by the following definitions: d = m + 16; m = a + 16; j = i + 6; b = v + 7; r = b + 8; s = h + 6; q = j + 11; f = s + 18; v = d + 3; h = 1; a = h + 1; p = q + 6; i = f + 8. Given that h = 1, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"u": "s + 10", "n": "u + 18", "a": "n + 4", "b": "a + 8", "e": "b + 9", "o": "e + 14", "q": "s + 13", "m": "q + 15", "r": "m + 4", "g": "r + 9", "z": "g + 1", "j": "z + 20", "s": 8}, "premises": {"s": 8}, "target": "o"}, "answer": {"steps": [["e", "b + 9", "b + 23"], ["b", "a + 8", "a + 31"], ["a", "n + 4", "n + 35"], ["n", "u + 18", "u + 53"], ["u", "s + 10", "s + 63"], ["s", 8, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"s": 8}, "is_reverse": true}} | 14,842 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = m + 4; m = q + 15; a = n + 4; n = u + 18; e = b + 9; z = g + 1; s = 8; b = a + 8; q = s + 13; o = e + 14; g = r + 9; j = z + 20; u = s + 10. If s = 8, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 9 to o, which gives o = b + 23.\n2. Substitute b = a + 8 to o, which gives o = a + 31.\n3. Substitute a = n + 4 to o, which gives o = n + 35.\n4. Substitute n = u + 18 to o, which gives o = u + 53.\n5. Substitute u = s + 10 to o, which gives o = s + 63.\n6. Substitute s = 8 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 14842,
"question": "Consider a system of variables where each variable is defined as follows: r = m + 4; m = q + 15; a = n + 4; n = u + 18; e = b + 9; z = g + 1; s = 8; b = a + 8; q = s + 13; o = e + 14; g = r + 9; j = z + 20; u = s + 10. If s = 8, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "q + 8", "f": "u + 8", "s": "f + 13", "h": "s + 19", "k": "h + 20", "v": "k + 6", "e": "q + 15", "d": "e + 14", "n": "d + 1", "c": "n + 1", "p": "c + 17", "r": "p + 13", "q": 6}, "premises": {"q": 6}, "target": "v"}, "answer": {"steps": [["k", "h + 20", "h + 26"], ["h", "s + 19", "s + 45"], ["s", "f + 13", "f + 58"], ["f", "u + 8", "u + 66"], ["u", "q + 8", "q + 74"], ["q", 6, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"q": 6}, "is_reverse": true}} | 14,843 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 6; d = e + 14; e = q + 15; p = c + 17; h = s + 19; c = n + 1; f = u + 8; n = d + 1; v = k + 6; u = q + 8; s = f + 13; r = p + 13; k = h + 20. If q = 6, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 20 to v, which gives v = h + 26.\n2. Substitute h = s + 19 to v, which gives v = s + 45.\n3. Substitute s = f + 13 to v, which gives v = f + 58.\n4. Substitute f = u + 8 to v, which gives v = u + 66.\n5. Substitute u = q + 8 to v, which gives v = q + 74.\n6. Substitute q = 6 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 14843,
"question": "Consider a system of variables where each variable is defined as follows: q = 6; d = e + 14; e = q + 15; p = c + 17; h = s + 19; c = n + 1; f = u + 8; n = d + 1; v = k + 6; u = q + 8; s = f + 13; r = p + 13; k = h + 20. If q = 6, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 8", "h": "n + 12", "v": "h + 8", "k": "v + 5", "b": "k + 6", "a": "b + 15", "i": "e + 18", "u": "i + 2", "w": "u + 1", "z": "w + 9", "r": "z + 18", "m": "r + 20", "e": 8}, "premises": {"e": 8}, "target": "a"}, "answer": {"steps": [["b", "k + 6", "k + 21"], ["k", "v + 5", "v + 26"], ["v", "h + 8", "h + 34"], ["h", "n + 12", "n + 46"], ["n", "e + 8", "e + 54"], ["e", 8, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"e": 8}, "is_reverse": true}} | 14,844 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = k + 6; n = e + 8; m = r + 20; i = e + 18; z = w + 9; a = b + 15; w = u + 1; u = i + 2; r = z + 18; k = v + 5; v = h + 8; h = n + 12; e = 8. Given that e = 8, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 6 to a, which gives a = k + 21.\n2. Substitute k = v + 5 to a, which gives a = v + 26.\n3. Substitute v = h + 8 to a, which gives a = h + 34.\n4. Substitute h = n + 12 to a, which gives a = n + 46.\n5. Substitute n = e + 8 to a, which gives a = e + 54.\n6. Substitute e = 8 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 14844,
"question": "Suppose a collection of variables is related by the following definitions: b = k + 6; n = e + 8; m = r + 20; i = e + 18; z = w + 9; a = b + 15; w = u + 1; u = i + 2; r = z + 18; k = v + 5; v = h + 8; h = n + 12; e = 8. Given that e = 8, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 16", "e": "v + 18", "t": "e + 17", "q": "t + 14", "b": "q + 14", "f": "b + 20", "n": "p + 9", "a": "n + 14", "d": "a + 6", "c": "d + 12", "j": "c + 2", "l": "j + 12", "p": 8}, "premises": {"p": 8}, "target": "f"}, "answer": {"steps": [["b", "q + 14", "q + 34"], ["q", "t + 14", "t + 48"], ["t", "e + 17", "e + 65"], ["e", "v + 18", "v + 83"], ["v", "p + 16", "p + 99"], ["p", 8, "107"]], "target_var_name": "f", "target_value": 107, "value_dict": {"p": 8}, "is_reverse": true}} | 14,845 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = e + 17; e = v + 18; v = p + 16; p = 8; b = q + 14; l = j + 12; j = c + 2; c = d + 12; a = n + 14; f = b + 20; q = t + 14; n = p + 9; d = a + 6. If p = 8, what is the resulting value of f?",
"role": "use... | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 14 to f, which gives f = q + 34.\n2. Substitute q = t + 14 to f, which gives f = t + 48.\n3. Substitute t = e + 17 to f, which gives f = e + 65.\n4. Substitute e = v + 18 to f, which gives f = v + 83.\n5. Substitute v = p + 16 to f, which gives f = p + 99.\n6. Substitute p = 8 to f, which gives f = 107.\n\nThus, the final answer is f = \\boxed{107}.",
"index": 14845,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = e + 17; e = v + 18; v = p + 16; p = 8; b = q + 14; l = j + 12; j = c + 2; c = d + 12; a = n + 14; f = b + 20; q = t + 14; n = p + 9; d = a + 6. If p = 8, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 13", "w": "x + 17", "j": "w + 16", "g": "j + 20", "f": "g + 7", "q": "f + 16", "d": "r + 15", "o": "d + 16", "u": "o + 5", "e": "u + 3", "k": "e + 10", "y": "k + 8", "r": 12}, "premises": {"r": 12}, "target": "q"}, "answer": {"steps": [["f", "g + 7", "g + 23"], ["g", "j + 20", "j + 43"], ["j", "w + 16", "w + 59"], ["w", "x + 17", "x + 76"], ["x", "r + 13", "r + 89"], ["r", 12, "101"]], "target_var_name": "q", "target_value": 101, "value_dict": {"r": 12}, "is_reverse": true}} | 14,846 | 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 + 7; r = 12; x = r + 13; e = u + 3; o = d + 16; w = x + 17; j = w + 16; y = k + 8; g = j + 20; q = f + 16; k = e + 10; d = r + 15; u = o + 5. If r = 12, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 7 to q, which gives q = g + 23.\n2. Substitute g = j + 20 to q, which gives q = j + 43.\n3. Substitute j = w + 16 to q, which gives q = w + 59.\n4. Substitute w = x + 17 to q, which gives q = x + 76.\n5. Substitute x = r + 13 to q, which gives q = r + 89.\n6. Substitute r = 12 to q, which gives q = 101.\n\nThus, the final answer is q = \\boxed{101}.",
"index": 14846,
"question": "Consider a system of variables where each variable is defined as follows: f = g + 7; r = 12; x = r + 13; e = u + 3; o = d + 16; w = x + 17; j = w + 16; y = k + 8; g = j + 20; q = f + 16; k = e + 10; d = r + 15; u = o + 5. If r = 12, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"b": "x + 9", "r": "b + 10", "q": "r + 12", "t": "q + 14", "f": "t + 16", "p": "f + 7", "m": "x + 9", "h": "m + 7", "k": "h + 17", "j": "k + 3", "v": "j + 19", "a": "v + 16", "x": 4}, "premises": {"x": 4}, "target": "p"}, "answer": {"steps": [["f", "t + 16", "t + 23"], ["t", "q + 14", "q + 37"], ["q", "r + 12", "r + 49"], ["r", "b + 10", "b + 59"], ["b", "x + 9", "x + 68"], ["x", 4, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"x": 4}, "is_reverse": true}} | 14,847 | 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 = 4; f = t + 16; v = j + 19; p = f + 7; t = q + 14; j = k + 3; r = b + 10; k = h + 17; m = x + 9; q = r + 12; b = x + 9; h = m + 7; a = v + 16. If x = 4, what is the resulting value of p?",
"role": "user"... | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 16 to p, which gives p = t + 23.\n2. Substitute t = q + 14 to p, which gives p = q + 37.\n3. Substitute q = r + 12 to p, which gives p = r + 49.\n4. Substitute r = b + 10 to p, which gives p = b + 59.\n5. Substitute b = x + 9 to p, which gives p = x + 68.\n6. Substitute x = 4 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 14847,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 4; f = t + 16; v = j + 19; p = f + 7; t = q + 14; j = k + 3; r = b + 10; k = h + 17; m = x + 9; q = r + 12; b = x + 9; h = m + 7; a = v + 16. If x = 4, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"t": "e + 11", "f": "t + 12", "x": "f + 10", "q": "x + 13", "v": "q + 20", "y": "v + 10", "s": "e + 10", "c": "s + 18", "g": "c + 10", "n": "g + 16", "l": "n + 10", "u": "l + 14", "e": 11}, "premises": {"e": 11}, "target": "y"}, "answer": {"steps": [["v", "q + 20", "q + 30"], ["q", "x + 13", "x + 43"], ["x", "f + 10", "f + 53"], ["f", "t + 12", "t + 65"], ["t", "e + 11", "e + 76"], ["e", 11, "87"]], "target_var_name": "y", "target_value": 87, "value_dict": {"e": 11}, "is_reverse": true}} | 14,848 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = f + 10; t = e + 11; c = s + 18; e = 11; s = e + 10; q = x + 13; n = g + 16; y = v + 10; l = n + 10; f = t + 12; g = c + 10; u = l + 14; v = q + 20. If e = 11, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 20 to y, which gives y = q + 30.\n2. Substitute q = x + 13 to y, which gives y = x + 43.\n3. Substitute x = f + 10 to y, which gives y = f + 53.\n4. Substitute f = t + 12 to y, which gives y = t + 65.\n5. Substitute t = e + 11 to y, which gives y = e + 76.\n6. Substitute e = 11 to y, which gives y = 87.\n\nThus, the final answer is y = \\boxed{87}.",
"index": 14848,
"question": "Consider a system of variables where each variable is defined as follows: x = f + 10; t = e + 11; c = s + 18; e = 11; s = e + 10; q = x + 13; n = g + 16; y = v + 10; l = n + 10; f = t + 12; g = c + 10; u = l + 14; v = q + 20. If e = 11, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"d": "w + 13", "i": "d + 17", "j": "i + 15", "h": "j + 11", "q": "h + 4", "s": "q + 16", "g": "w + 1", "l": "g + 6", "x": "l + 15", "v": "x + 11", "t": "v + 12", "e": "t + 19", "w": 5}, "premises": {"w": 5}, "target": "s"}, "answer": {"steps": [["q", "h + 4", "h + 20"], ["h", "j + 11", "j + 31"], ["j", "i + 15", "i + 46"], ["i", "d + 17", "d + 63"], ["d", "w + 13", "w + 76"], ["w", 5, "81"]], "target_var_name": "s", "target_value": 81, "value_dict": {"w": 5}, "is_reverse": true}} | 14,849 | 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 = w + 13; s = q + 16; q = h + 4; w = 5; x = l + 15; l = g + 6; g = w + 1; j = i + 15; t = v + 12; v = x + 11; h = j + 11; e = t + 19; i = d + 17. If w = 5, what is the resulting value of s?",
"role": "use... | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 4 to s, which gives s = h + 20.\n2. Substitute h = j + 11 to s, which gives s = j + 31.\n3. Substitute j = i + 15 to s, which gives s = i + 46.\n4. Substitute i = d + 17 to s, which gives s = d + 63.\n5. Substitute d = w + 13 to s, which gives s = w + 76.\n6. Substitute w = 5 to s, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 14849,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = w + 13; s = q + 16; q = h + 4; w = 5; x = l + 15; l = g + 6; g = w + 1; j = i + 15; t = v + 12; v = x + 11; h = j + 11; e = t + 19; i = d + 17. If w = 5, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"o": "a + 7", "k": "o + 5", "h": "k + 8", "v": "h + 6", "j": "v + 10", "c": "j + 1", "m": "a + 4", "z": "m + 7", "q": "z + 12", "f": "q + 15", "g": "f + 13", "e": "g + 1", "a": 3}, "premises": {"a": 3}, "target": "c"}, "answer": {"steps": [["j", "v + 10", "v + 11"], ["v", "h + 6", "h + 17"], ["h", "k + 8", "k + 25"], ["k", "o + 5", "o + 30"], ["o", "a + 7", "a + 37"], ["a", 3, "40"]], "target_var_name": "c", "target_value": 40, "value_dict": {"a": 3}, "is_reverse": true}} | 14,850 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = k + 8; o = a + 7; m = a + 4; a = 3; g = f + 13; k = o + 5; z = m + 7; v = h + 6; f = q + 15; j = v + 10; e = g + 1; c = j + 1; q = z + 12. Given that a = 3, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 10 to c, which gives c = v + 11.\n2. Substitute v = h + 6 to c, which gives c = h + 17.\n3. Substitute h = k + 8 to c, which gives c = k + 25.\n4. Substitute k = o + 5 to c, which gives c = o + 30.\n5. Substitute o = a + 7 to c, which gives c = a + 37.\n6. Substitute a = 3 to c, which gives c = 40.\n\nThus, the final answer is c = \\boxed{40}.",
"index": 14850,
"question": "Suppose a collection of variables is related by the following definitions: h = k + 8; o = a + 7; m = a + 4; a = 3; g = f + 13; k = o + 5; z = m + 7; v = h + 6; f = q + 15; j = v + 10; e = g + 1; c = j + 1; q = z + 12. Given that a = 3, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 14", "h": "l + 5", "y": "h + 19", "g": "y + 12", "f": "g + 2", "u": "f + 13", "i": "w + 4", "z": "i + 15", "j": "z + 19", "e": "j + 5", "k": "e + 5", "b": "k + 13", "w": 6}, "premises": {"w": 6}, "target": "u"}, "answer": {"steps": [["f", "g + 2", "g + 15"], ["g", "y + 12", "y + 27"], ["y", "h + 19", "h + 46"], ["h", "l + 5", "l + 51"], ["l", "w + 14", "w + 65"], ["w", 6, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"w": 6}, "is_reverse": true}} | 14,851 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = k + 13; e = j + 5; l = w + 14; k = e + 5; f = g + 2; i = w + 4; u = f + 13; g = y + 12; h = l + 5; y = h + 19; w = 6; z = i + 15; j = z + 19. Given that w = 6, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 2 to u, which gives u = g + 15.\n2. Substitute g = y + 12 to u, which gives u = y + 27.\n3. Substitute y = h + 19 to u, which gives u = h + 46.\n4. Substitute h = l + 5 to u, which gives u = l + 51.\n5. Substitute l = w + 14 to u, which gives u = w + 65.\n6. Substitute w = 6 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 14851,
"question": "Suppose a collection of variables is related by the following definitions: b = k + 13; e = j + 5; l = w + 14; k = e + 5; f = g + 2; i = w + 4; u = f + 13; g = y + 12; h = l + 5; y = h + 19; w = 6; z = i + 15; j = z + 19. Given that w = 6, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 2", "l": "r + 13", "m": "l + 4", "u": "m + 13", "g": "u + 2", "x": "g + 16", "v": "c + 3", "i": "v + 5", "n": "i + 17", "t": "n + 15", "y": "t + 7", "q": "y + 14", "c": 4}, "premises": {"c": 4}, "target": "x"}, "answer": {"steps": [["g", "u + 2", "u + 18"], ["u", "m + 13", "m + 31"], ["m", "l + 4", "l + 35"], ["l", "r + 13", "r + 48"], ["r", "c + 2", "c + 50"], ["c", 4, "54"]], "target_var_name": "x", "target_value": 54, "value_dict": {"c": 4}, "is_reverse": true}} | 14,852 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = i + 17; l = r + 13; y = t + 7; i = v + 5; m = l + 4; v = c + 3; u = m + 13; t = n + 15; r = c + 2; q = y + 14; x = g + 16; g = u + 2; c = 4. If c = 4, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 2 to x, which gives x = u + 18.\n2. Substitute u = m + 13 to x, which gives x = m + 31.\n3. Substitute m = l + 4 to x, which gives x = l + 35.\n4. Substitute l = r + 13 to x, which gives x = r + 48.\n5. Substitute r = c + 2 to x, which gives x = c + 50.\n6. Substitute c = 4 to x, which gives x = 54.\n\nThus, the final answer is x = \\boxed{54}.",
"index": 14852,
"question": "Consider a system of variables where each variable is defined as follows: n = i + 17; l = r + 13; y = t + 7; i = v + 5; m = l + 4; v = c + 3; u = m + 13; t = n + 15; r = c + 2; q = y + 14; x = g + 16; g = u + 2; c = 4. If c = 4, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 16", "j": "o + 15", "r": "j + 7", "q": "r + 10", "i": "q + 14", "p": "i + 19", "x": "t + 14", "g": "x + 18", "c": "g + 11", "l": "c + 12", "k": "l + 8", "z": "k + 7", "t": 10}, "premises": {"t": 10}, "target": "p"}, "answer": {"steps": [["i", "q + 14", "q + 33"], ["q", "r + 10", "r + 43"], ["r", "j + 7", "j + 50"], ["j", "o + 15", "o + 65"], ["o", "t + 16", "t + 81"], ["t", 10, "91"]], "target_var_name": "p", "target_value": 91, "value_dict": {"t": 10}, "is_reverse": true}} | 14,853 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = q + 14; t = 10; g = x + 18; q = r + 10; c = g + 11; k = l + 8; z = k + 7; j = o + 15; p = i + 19; l = c + 12; r = j + 7; x = t + 14; o = t + 16. Given that t = 10, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 14 to p, which gives p = q + 33.\n2. Substitute q = r + 10 to p, which gives p = r + 43.\n3. Substitute r = j + 7 to p, which gives p = j + 50.\n4. Substitute j = o + 15 to p, which gives p = o + 65.\n5. Substitute o = t + 16 to p, which gives p = t + 81.\n6. Substitute t = 10 to p, which gives p = 91.\n\nThus, the final answer is p = \\boxed{91}.",
"index": 14853,
"question": "Suppose a collection of variables is related by the following definitions: i = q + 14; t = 10; g = x + 18; q = r + 10; c = g + 11; k = l + 8; z = k + 7; j = o + 15; p = i + 19; l = c + 12; r = j + 7; x = t + 14; o = t + 16. Given that t = 10, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 9", "a": "n + 2", "q": "a + 10", "w": "q + 12", "b": "w + 15", "o": "b + 17", "x": "t + 13", "p": "x + 4", "e": "p + 6", "r": "e + 16", "g": "r + 17", "u": "g + 12", "t": 16}, "premises": {"t": 16}, "target": "o"}, "answer": {"steps": [["b", "w + 15", "w + 32"], ["w", "q + 12", "q + 44"], ["q", "a + 10", "a + 54"], ["a", "n + 2", "n + 56"], ["n", "t + 9", "t + 65"], ["t", 16, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"t": 16}, "is_reverse": true}} | 14,854 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 6; x = t + 13; n = t + 9; p = x + 4; o = b + 17; t = 16; b = w + 15; w = q + 12; g = r + 17; a = n + 2; u = g + 12; q = a + 10; r = e + 16. If t = 16, what is the resulting value of o?",
"role": "us... | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 15 to o, which gives o = w + 32.\n2. Substitute w = q + 12 to o, which gives o = q + 44.\n3. Substitute q = a + 10 to o, which gives o = a + 54.\n4. Substitute a = n + 2 to o, which gives o = n + 56.\n5. Substitute n = t + 9 to o, which gives o = t + 65.\n6. Substitute t = 16 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 14854,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 6; x = t + 13; n = t + 9; p = x + 4; o = b + 17; t = 16; b = w + 15; w = q + 12; g = r + 17; a = n + 2; u = g + 12; q = a + 10; r = e + 16. If t = 16, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 6", "s": "r + 19", "g": "s + 12", "a": "g + 16", "p": "a + 8", "i": "p + 6", "j": "y + 20", "v": "j + 11", "q": "v + 12", "e": "q + 9", "d": "e + 16", "f": "d + 10", "y": 5}, "premises": {"y": 5}, "target": "i"}, "answer": {"steps": [["p", "a + 8", "a + 14"], ["a", "g + 16", "g + 30"], ["g", "s + 12", "s + 42"], ["s", "r + 19", "r + 61"], ["r", "y + 6", "y + 67"], ["y", 5, "72"]], "target_var_name": "i", "target_value": 72, "value_dict": {"y": 5}, "is_reverse": true}} | 14,855 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = r + 19; a = g + 16; f = d + 10; q = v + 12; g = s + 12; i = p + 6; e = q + 9; r = y + 6; d = e + 16; j = y + 20; p = a + 8; v = j + 11; y = 5. Given that y = 5, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 8 to i, which gives i = a + 14.\n2. Substitute a = g + 16 to i, which gives i = g + 30.\n3. Substitute g = s + 12 to i, which gives i = s + 42.\n4. Substitute s = r + 19 to i, which gives i = r + 61.\n5. Substitute r = y + 6 to i, which gives i = y + 67.\n6. Substitute y = 5 to i, which gives i = 72.\n\nThus, the final answer is i = \\boxed{72}.",
"index": 14855,
"question": "Suppose a collection of variables is related by the following definitions: s = r + 19; a = g + 16; f = d + 10; q = v + 12; g = s + 12; i = p + 6; e = q + 9; r = y + 6; d = e + 16; j = y + 20; p = a + 8; v = j + 11; y = 5. Given that y = 5, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 9", "o": "l + 12", "k": "o + 17", "c": "k + 5", "x": "c + 7", "r": "x + 12", "g": "b + 20", "d": "g + 10", "w": "d + 2", "f": "w + 7", "n": "f + 14", "a": "n + 12", "b": 12}, "premises": {"b": 12}, "target": "r"}, "answer": {"steps": [["x", "c + 7", "c + 19"], ["c", "k + 5", "k + 24"], ["k", "o + 17", "o + 41"], ["o", "l + 12", "l + 53"], ["l", "b + 9", "b + 62"], ["b", 12, "74"]], "target_var_name": "r", "target_value": 74, "value_dict": {"b": 12}, "is_reverse": true}} | 14,856 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = n + 12; k = o + 17; b = 12; f = w + 7; x = c + 7; d = g + 10; l = b + 9; w = d + 2; r = x + 12; n = f + 14; c = k + 5; g = b + 20; o = l + 12. Given that b = 12, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 7 to r, which gives r = c + 19.\n2. Substitute c = k + 5 to r, which gives r = k + 24.\n3. Substitute k = o + 17 to r, which gives r = o + 41.\n4. Substitute o = l + 12 to r, which gives r = l + 53.\n5. Substitute l = b + 9 to r, which gives r = b + 62.\n6. Substitute b = 12 to r, which gives r = 74.\n\nThus, the final answer is r = \\boxed{74}.",
"index": 14856,
"question": "Suppose a collection of variables is related by the following definitions: a = n + 12; k = o + 17; b = 12; f = w + 7; x = c + 7; d = g + 10; l = b + 9; w = d + 2; r = x + 12; n = f + 14; c = k + 5; g = b + 20; o = l + 12. Given that b = 12, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 16", "h": "g + 16", "r": "h + 15", "f": "r + 14", "s": "f + 2", "d": "s + 15", "e": "c + 9", "l": "e + 10", "x": "l + 9", "w": "x + 18", "o": "w + 11", "z": "o + 4", "c": 10}, "premises": {"c": 10}, "target": "d"}, "answer": {"steps": [["s", "f + 2", "f + 17"], ["f", "r + 14", "r + 31"], ["r", "h + 15", "h + 46"], ["h", "g + 16", "g + 62"], ["g", "c + 16", "c + 78"], ["c", 10, "88"]], "target_var_name": "d", "target_value": 88, "value_dict": {"c": 10}, "is_reverse": true}} | 14,857 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = s + 15; x = l + 9; c = 10; f = r + 14; e = c + 9; z = o + 4; r = h + 15; g = c + 16; o = w + 11; w = x + 18; l = e + 10; s = f + 2; h = g + 16. If c = 10, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 2 to d, which gives d = f + 17.\n2. Substitute f = r + 14 to d, which gives d = r + 31.\n3. Substitute r = h + 15 to d, which gives d = h + 46.\n4. Substitute h = g + 16 to d, which gives d = g + 62.\n5. Substitute g = c + 16 to d, which gives d = c + 78.\n6. Substitute c = 10 to d, which gives d = 88.\n\nThus, the final answer is d = \\boxed{88}.",
"index": 14857,
"question": "Consider a system of variables where each variable is defined as follows: d = s + 15; x = l + 9; c = 10; f = r + 14; e = c + 9; z = o + 4; r = h + 15; g = c + 16; o = w + 11; w = x + 18; l = e + 10; s = f + 2; h = g + 16. If c = 10, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 16", "i": "j + 16", "x": "i + 17", "v": "x + 19", "h": "v + 16", "o": "h + 7", "w": "b + 8", "z": "w + 18", "r": "z + 16", "f": "r + 9", "u": "f + 2", "a": "u + 19", "b": 9}, "premises": {"b": 9}, "target": "o"}, "answer": {"steps": [["h", "v + 16", "v + 23"], ["v", "x + 19", "x + 42"], ["x", "i + 17", "i + 59"], ["i", "j + 16", "j + 75"], ["j", "b + 16", "b + 91"], ["b", 9, "100"]], "target_var_name": "o", "target_value": 100, "value_dict": {"b": 9}, "is_reverse": true}} | 14,858 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = b + 8; i = j + 16; v = x + 19; z = w + 18; a = u + 19; u = f + 2; o = h + 7; r = z + 16; f = r + 9; h = v + 16; x = i + 17; b = 9; j = b + 16. Given that b = 9, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 16 to o, which gives o = v + 23.\n2. Substitute v = x + 19 to o, which gives o = x + 42.\n3. Substitute x = i + 17 to o, which gives o = i + 59.\n4. Substitute i = j + 16 to o, which gives o = j + 75.\n5. Substitute j = b + 16 to o, which gives o = b + 91.\n6. Substitute b = 9 to o, which gives o = 100.\n\nThus, the final answer is o = \\boxed{100}.",
"index": 14858,
"question": "Suppose a collection of variables is related by the following definitions: w = b + 8; i = j + 16; v = x + 19; z = w + 18; a = u + 19; u = f + 2; o = h + 7; r = z + 16; f = r + 9; h = v + 16; x = i + 17; b = 9; j = b + 16. Given that b = 9, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"p": "w + 11", "q": "p + 17", "v": "q + 8", "y": "v + 20", "j": "y + 14", "r": "j + 14", "d": "w + 18", "n": "d + 2", "l": "n + 10", "h": "l + 18", "t": "h + 15", "m": "t + 4", "w": 10}, "premises": {"w": 10}, "target": "r"}, "answer": {"steps": [["j", "y + 14", "y + 28"], ["y", "v + 20", "v + 48"], ["v", "q + 8", "q + 56"], ["q", "p + 17", "p + 73"], ["p", "w + 11", "w + 84"], ["w", 10, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"w": 10}, "is_reverse": true}} | 14,859 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 4; d = w + 18; y = v + 20; j = y + 14; r = j + 14; v = q + 8; l = n + 10; t = h + 15; w = 10; p = w + 11; h = l + 18; q = p + 17; n = d + 2. If w = 10, what is the resulting value of r?",
"role": "u... | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 14 to r, which gives r = y + 28.\n2. Substitute y = v + 20 to r, which gives r = v + 48.\n3. Substitute v = q + 8 to r, which gives r = q + 56.\n4. Substitute q = p + 17 to r, which gives r = p + 73.\n5. Substitute p = w + 11 to r, which gives r = w + 84.\n6. Substitute w = 10 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 14859,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 4; d = w + 18; y = v + 20; j = y + 14; r = j + 14; v = q + 8; l = n + 10; t = h + 15; w = 10; p = w + 11; h = l + 18; q = p + 17; n = d + 2. If w = 10, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 20", "v": "a + 17", "y": "v + 9", "z": "y + 13", "m": "z + 1", "b": "m + 15", "p": "g + 16", "k": "p + 6", "e": "k + 9", "w": "e + 15", "n": "w + 20", "o": "n + 4", "g": 15}, "premises": {"g": 15}, "target": "b"}, "answer": {"steps": [["m", "z + 1", "z + 16"], ["z", "y + 13", "y + 29"], ["y", "v + 9", "v + 38"], ["v", "a + 17", "a + 55"], ["a", "g + 20", "g + 75"], ["g", 15, "90"]], "target_var_name": "b", "target_value": 90, "value_dict": {"g": 15}, "is_reverse": true}} | 14,860 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = a + 17; b = m + 15; g = 15; y = v + 9; k = p + 6; m = z + 1; p = g + 16; w = e + 15; o = n + 4; z = y + 13; a = g + 20; n = w + 20; e = k + 9. Given that g = 15, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 1 to b, which gives b = z + 16.\n2. Substitute z = y + 13 to b, which gives b = y + 29.\n3. Substitute y = v + 9 to b, which gives b = v + 38.\n4. Substitute v = a + 17 to b, which gives b = a + 55.\n5. Substitute a = g + 20 to b, which gives b = g + 75.\n6. Substitute g = 15 to b, which gives b = 90.\n\nThus, the final answer is b = \\boxed{90}.",
"index": 14860,
"question": "Suppose a collection of variables is related by the following definitions: v = a + 17; b = m + 15; g = 15; y = v + 9; k = p + 6; m = z + 1; p = g + 16; w = e + 15; o = n + 4; z = y + 13; a = g + 20; n = w + 20; e = k + 9. Given that g = 15, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 11", "w": "u + 14", "g": "w + 16", "v": "g + 17", "o": "v + 10", "j": "o + 1", "z": "t + 8", "c": "z + 11", "y": "c + 8", "r": "y + 9", "m": "r + 7", "e": "m + 17", "t": 6}, "premises": {"t": 6}, "target": "j"}, "answer": {"steps": [["o", "v + 10", "v + 11"], ["v", "g + 17", "g + 28"], ["g", "w + 16", "w + 44"], ["w", "u + 14", "u + 58"], ["u", "t + 11", "t + 69"], ["t", 6, "75"]], "target_var_name": "j", "target_value": 75, "value_dict": {"t": 6}, "is_reverse": true}} | 14,861 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = o + 1; m = r + 7; g = w + 16; v = g + 17; z = t + 8; w = u + 14; t = 6; y = c + 8; o = v + 10; e = m + 17; r = y + 9; u = t + 11; c = z + 11. Given that t = 6, find the 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. Substitute o = v + 10 to j, which gives j = v + 11.\n2. Substitute v = g + 17 to j, which gives j = g + 28.\n3. Substitute g = w + 16 to j, which gives j = w + 44.\n4. Substitute w = u + 14 to j, which gives j = u + 58.\n5. Substitute u = t + 11 to j, which gives j = t + 69.\n6. Substitute t = 6 to j, which gives j = 75.\n\nThus, the final answer is j = \\boxed{75}.",
"index": 14861,
"question": "Suppose a collection of variables is related by the following definitions: j = o + 1; m = r + 7; g = w + 16; v = g + 17; z = t + 8; w = u + 14; t = 6; y = c + 8; o = v + 10; e = m + 17; r = y + 9; u = t + 11; c = z + 11. Given that t = 6, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 13", "f": "h + 4", "g": "f + 4", "q": "g + 8", "k": "q + 8", "o": "k + 4", "d": "r + 9", "v": "d + 16", "t": "v + 4", "n": "t + 16", "x": "n + 11", "b": "x + 17", "r": 13}, "premises": {"r": 13}, "target": "o"}, "answer": {"steps": [["k", "q + 8", "q + 12"], ["q", "g + 8", "g + 20"], ["g", "f + 4", "f + 24"], ["f", "h + 4", "h + 28"], ["h", "r + 13", "r + 41"], ["r", 13, "54"]], "target_var_name": "o", "target_value": 54, "value_dict": {"r": 13}, "is_reverse": true}} | 14,862 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = n + 11; r = 13; k = q + 8; o = k + 4; t = v + 4; n = t + 16; d = r + 9; h = r + 13; q = g + 8; v = d + 16; b = x + 17; f = h + 4; g = f + 4. If r = 13, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 8 to o, which gives o = q + 12.\n2. Substitute q = g + 8 to o, which gives o = g + 20.\n3. Substitute g = f + 4 to o, which gives o = f + 24.\n4. Substitute f = h + 4 to o, which gives o = h + 28.\n5. Substitute h = r + 13 to o, which gives o = r + 41.\n6. Substitute r = 13 to o, which gives o = 54.\n\nThus, the final answer is o = \\boxed{54}.",
"index": 14862,
"question": "Consider a system of variables where each variable is defined as follows: x = n + 11; r = 13; k = q + 8; o = k + 4; t = v + 4; n = t + 16; d = r + 9; h = r + 13; q = g + 8; v = d + 16; b = x + 17; f = h + 4; g = f + 4. If r = 13, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 15", "k": "x + 8", "a": "k + 17", "w": "a + 10", "z": "w + 20", "v": "z + 2", "y": "f + 10", "g": "y + 19", "c": "g + 6", "o": "c + 11", "s": "o + 4", "m": "s + 6", "f": 1}, "premises": {"f": 1}, "target": "v"}, "answer": {"steps": [["z", "w + 20", "w + 22"], ["w", "a + 10", "a + 32"], ["a", "k + 17", "k + 49"], ["k", "x + 8", "x + 57"], ["x", "f + 15", "f + 72"], ["f", 1, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"f": 1}, "is_reverse": true}} | 14,863 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 20; g = y + 19; c = g + 6; s = o + 4; m = s + 6; a = k + 17; k = x + 8; o = c + 11; w = a + 10; x = f + 15; y = f + 10; v = z + 2; f = 1. Given that f = 1, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 20 to v, which gives v = w + 22.\n2. Substitute w = a + 10 to v, which gives v = a + 32.\n3. Substitute a = k + 17 to v, which gives v = k + 49.\n4. Substitute k = x + 8 to v, which gives v = x + 57.\n5. Substitute x = f + 15 to v, which gives v = f + 72.\n6. Substitute f = 1 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 14863,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 20; g = y + 19; c = g + 6; s = o + 4; m = s + 6; a = k + 17; k = x + 8; o = c + 11; w = a + 10; x = f + 15; y = f + 10; v = z + 2; f = 1. Given that f = 1, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"l": "j + 6", "x": "l + 7", "v": "x + 10", "o": "v + 12", "q": "o + 4", "n": "q + 12", "z": "j + 8", "a": "z + 20", "h": "a + 12", "f": "h + 4", "d": "f + 8", "m": "d + 13", "j": 12}, "premises": {"j": 12}, "target": "n"}, "answer": {"steps": [["q", "o + 4", "o + 16"], ["o", "v + 12", "v + 28"], ["v", "x + 10", "x + 38"], ["x", "l + 7", "l + 45"], ["l", "j + 6", "j + 51"], ["j", 12, "63"]], "target_var_name": "n", "target_value": 63, "value_dict": {"j": 12}, "is_reverse": true}} | 14,864 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = l + 7; m = d + 13; l = j + 6; z = j + 8; a = z + 20; h = a + 12; j = 12; o = v + 12; d = f + 8; q = o + 4; n = q + 12; v = x + 10; f = h + 4. Given that j = 12, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 4 to n, which gives n = o + 16.\n2. Substitute o = v + 12 to n, which gives n = v + 28.\n3. Substitute v = x + 10 to n, which gives n = x + 38.\n4. Substitute x = l + 7 to n, which gives n = l + 45.\n5. Substitute l = j + 6 to n, which gives n = j + 51.\n6. Substitute j = 12 to n, which gives n = 63.\n\nThus, the final answer is n = \\boxed{63}.",
"index": 14864,
"question": "Suppose a collection of variables is related by the following definitions: x = l + 7; m = d + 13; l = j + 6; z = j + 8; a = z + 20; h = a + 12; j = 12; o = v + 12; d = f + 8; q = o + 4; n = q + 12; v = x + 10; f = h + 4. Given that j = 12, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 2", "d": "l + 12", "z": "d + 13", "o": "z + 6", "u": "o + 9", "a": "u + 15", "c": "p + 3", "t": "c + 9", "v": "t + 15", "y": "v + 20", "b": "y + 16", "g": "b + 8", "p": 16}, "premises": {"p": 16}, "target": "a"}, "answer": {"steps": [["u", "o + 9", "o + 24"], ["o", "z + 6", "z + 30"], ["z", "d + 13", "d + 43"], ["d", "l + 12", "l + 55"], ["l", "p + 2", "p + 57"], ["p", 16, "73"]], "target_var_name": "a", "target_value": 73, "value_dict": {"p": 16}, "is_reverse": true}} | 14,865 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = l + 12; p = 16; b = y + 16; z = d + 13; a = u + 15; v = t + 15; y = v + 20; l = p + 2; g = b + 8; c = p + 3; t = c + 9; o = z + 6; u = o + 9. If p = 16, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 9 to a, which gives a = o + 24.\n2. Substitute o = z + 6 to a, which gives a = z + 30.\n3. Substitute z = d + 13 to a, which gives a = d + 43.\n4. Substitute d = l + 12 to a, which gives a = l + 55.\n5. Substitute l = p + 2 to a, which gives a = p + 57.\n6. Substitute p = 16 to a, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 14865,
"question": "Consider a system of variables where each variable is defined as follows: d = l + 12; p = 16; b = y + 16; z = d + 13; a = u + 15; v = t + 15; y = v + 20; l = p + 2; g = b + 8; c = p + 3; t = c + 9; o = z + 6; u = o + 9. If p = 16, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 17", "z": "k + 2", "b": "z + 5", "m": "b + 5", "t": "m + 19", "f": "t + 6", "h": "o + 1", "u": "h + 15", "c": "u + 15", "x": "c + 8", "n": "x + 5", "y": "n + 17", "o": 4}, "premises": {"o": 4}, "target": "f"}, "answer": {"steps": [["t", "m + 19", "m + 25"], ["m", "b + 5", "b + 30"], ["b", "z + 5", "z + 35"], ["z", "k + 2", "k + 37"], ["k", "o + 17", "o + 54"], ["o", 4, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"o": 4}, "is_reverse": true}} | 14,866 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = m + 19; z = k + 2; c = u + 15; f = t + 6; n = x + 5; o = 4; x = c + 8; m = b + 5; h = o + 1; u = h + 15; b = z + 5; y = n + 17; k = o + 17. If o = 4, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 19 to f, which gives f = m + 25.\n2. Substitute m = b + 5 to f, which gives f = b + 30.\n3. Substitute b = z + 5 to f, which gives f = z + 35.\n4. Substitute z = k + 2 to f, which gives f = k + 37.\n5. Substitute k = o + 17 to f, which gives f = o + 54.\n6. Substitute o = 4 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 14866,
"question": "Consider a system of variables where each variable is defined as follows: t = m + 19; z = k + 2; c = u + 15; f = t + 6; n = x + 5; o = 4; x = c + 8; m = b + 5; h = o + 1; u = h + 15; b = z + 5; y = n + 17; k = o + 17. If o = 4, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 16", "l": "t + 4", "z": "l + 10", "h": "z + 6", "v": "h + 13", "b": "v + 18", "f": "p + 1", "c": "f + 5", "i": "c + 16", "g": "i + 14", "m": "g + 4", "d": "m + 11", "p": 12}, "premises": {"p": 12}, "target": "b"}, "answer": {"steps": [["v", "h + 13", "h + 31"], ["h", "z + 6", "z + 37"], ["z", "l + 10", "l + 47"], ["l", "t + 4", "t + 51"], ["t", "p + 16", "p + 67"], ["p", 12, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"p": 12}, "is_reverse": true}} | 14,867 | 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 = f + 5; h = z + 6; t = p + 16; b = v + 18; g = i + 14; z = l + 10; d = m + 11; v = h + 13; i = c + 16; l = t + 4; f = p + 1; p = 12; m = g + 4. If p = 12, what is the resulting value of b?",
"role": "use... | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 13 to b, which gives b = h + 31.\n2. Substitute h = z + 6 to b, which gives b = z + 37.\n3. Substitute z = l + 10 to b, which gives b = l + 47.\n4. Substitute l = t + 4 to b, which gives b = t + 51.\n5. Substitute t = p + 16 to b, which gives b = p + 67.\n6. Substitute p = 12 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 14867,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 5; h = z + 6; t = p + 16; b = v + 18; g = i + 14; z = l + 10; d = m + 11; v = h + 13; i = c + 16; l = t + 4; f = p + 1; p = 12; m = g + 4. If p = 12, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 3", "z": "i + 7", "g": "z + 4", "l": "g + 12", "o": "l + 4", "c": "o + 7", "t": "b + 17", "r": "t + 12", "q": "r + 9", "a": "q + 16", "n": "a + 18", "w": "n + 18", "b": 3}, "premises": {"b": 3}, "target": "c"}, "answer": {"steps": [["o", "l + 4", "l + 11"], ["l", "g + 12", "g + 23"], ["g", "z + 4", "z + 27"], ["z", "i + 7", "i + 34"], ["i", "b + 3", "b + 37"], ["b", 3, "40"]], "target_var_name": "c", "target_value": 40, "value_dict": {"b": 3}, "is_reverse": true}} | 14,868 | 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 = l + 4; a = q + 16; t = b + 17; z = i + 7; b = 3; w = n + 18; n = a + 18; c = o + 7; r = t + 12; i = b + 3; q = r + 9; l = g + 12; g = z + 4. If b = 3, what is the resulting value of c?",
"role": "user"
... | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 4 to c, which gives c = l + 11.\n2. Substitute l = g + 12 to c, which gives c = g + 23.\n3. Substitute g = z + 4 to c, which gives c = z + 27.\n4. Substitute z = i + 7 to c, which gives c = i + 34.\n5. Substitute i = b + 3 to c, which gives c = b + 37.\n6. Substitute b = 3 to c, which gives c = 40.\n\nThus, the final answer is c = \\boxed{40}.",
"index": 14868,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = l + 4; a = q + 16; t = b + 17; z = i + 7; b = 3; w = n + 18; n = a + 18; c = o + 7; r = t + 12; i = b + 3; q = r + 9; l = g + 12; g = z + 4. If b = 3, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 8", "c": "m + 3", "z": "c + 16", "n": "z + 8", "f": "n + 1", "i": "f + 7", "g": "r + 11", "a": "g + 6", "x": "a + 20", "e": "x + 17", "v": "e + 10", "b": "v + 11", "r": 2}, "premises": {"r": 2}, "target": "i"}, "answer": {"steps": [["f", "n + 1", "n + 8"], ["n", "z + 8", "z + 16"], ["z", "c + 16", "c + 32"], ["c", "m + 3", "m + 35"], ["m", "r + 8", "r + 43"], ["r", 2, "45"]], "target_var_name": "i", "target_value": 45, "value_dict": {"r": 2}, "is_reverse": true}} | 14,869 | 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 = v + 11; a = g + 6; n = z + 8; e = x + 17; z = c + 16; i = f + 7; g = r + 11; r = 2; m = r + 8; f = n + 1; v = e + 10; c = m + 3; x = a + 20. If r = 2, what is the resulting value of i?",
"role": "user"
... | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 1 to i, which gives i = n + 8.\n2. Substitute n = z + 8 to i, which gives i = z + 16.\n3. Substitute z = c + 16 to i, which gives i = c + 32.\n4. Substitute c = m + 3 to i, which gives i = m + 35.\n5. Substitute m = r + 8 to i, which gives i = r + 43.\n6. Substitute r = 2 to i, which gives i = 45.\n\nThus, the final answer is i = \\boxed{45}.",
"index": 14869,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = v + 11; a = g + 6; n = z + 8; e = x + 17; z = c + 16; i = f + 7; g = r + 11; r = 2; m = r + 8; f = n + 1; v = e + 10; c = m + 3; x = a + 20. If r = 2, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 11", "c": "s + 17", "o": "c + 11", "p": "o + 19", "d": "p + 12", "z": "d + 6", "n": "a + 19", "f": "n + 1", "w": "f + 15", "k": "w + 12", "u": "k + 15", "y": "u + 19", "a": 6}, "premises": {"a": 6}, "target": "z"}, "answer": {"steps": [["d", "p + 12", "p + 18"], ["p", "o + 19", "o + 37"], ["o", "c + 11", "c + 48"], ["c", "s + 17", "s + 65"], ["s", "a + 11", "a + 76"], ["a", 6, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"a": 6}, "is_reverse": true}} | 14,870 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 19; k = w + 12; n = a + 19; a = 6; z = d + 6; s = a + 11; d = p + 12; u = k + 15; c = s + 17; w = f + 15; p = o + 19; f = n + 1; o = c + 11. If a = 6, what is the resulting value of z?",
"role": "us... | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 12 to z, which gives z = p + 18.\n2. Substitute p = o + 19 to z, which gives z = o + 37.\n3. Substitute o = c + 11 to z, which gives z = c + 48.\n4. Substitute c = s + 17 to z, which gives z = s + 65.\n5. Substitute s = a + 11 to z, which gives z = a + 76.\n6. Substitute a = 6 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 14870,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 19; k = w + 12; n = a + 19; a = 6; z = d + 6; s = a + 11; d = p + 12; u = k + 15; c = s + 17; w = f + 15; p = o + 19; f = n + 1; o = c + 11. If a = 6, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 5", "a": "w + 20", "r": "a + 12", "b": "r + 5", "k": "b + 8", "q": "k + 10", "v": "y + 8", "t": "v + 14", "f": "t + 18", "s": "f + 8", "d": "s + 2", "o": "d + 7", "y": 17}, "premises": {"y": 17}, "target": "q"}, "answer": {"steps": [["k", "b + 8", "b + 18"], ["b", "r + 5", "r + 23"], ["r", "a + 12", "a + 35"], ["a", "w + 20", "w + 55"], ["w", "y + 5", "y + 60"], ["y", 17, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"y": 17}, "is_reverse": true}} | 14,871 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = f + 8; r = a + 12; d = s + 2; v = y + 8; w = y + 5; k = b + 8; a = w + 20; b = r + 5; o = d + 7; q = k + 10; y = 17; t = v + 14; f = t + 18. If y = 17, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 8 to q, which gives q = b + 18.\n2. Substitute b = r + 5 to q, which gives q = r + 23.\n3. Substitute r = a + 12 to q, which gives q = a + 35.\n4. Substitute a = w + 20 to q, which gives q = w + 55.\n5. Substitute w = y + 5 to q, which gives q = y + 60.\n6. Substitute y = 17 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 14871,
"question": "Consider a system of variables where each variable is defined as follows: s = f + 8; r = a + 12; d = s + 2; v = y + 8; w = y + 5; k = b + 8; a = w + 20; b = r + 5; o = d + 7; q = k + 10; y = 17; t = v + 14; f = t + 18. If y = 17, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"w": "v + 6", "z": "w + 6", "i": "z + 17", "c": "i + 9", "h": "c + 12", "o": "h + 3", "d": "v + 5", "t": "d + 10", "b": "t + 16", "j": "b + 17", "k": "j + 11", "e": "k + 19", "v": 5}, "premises": {"v": 5}, "target": "o"}, "answer": {"steps": [["h", "c + 12", "c + 15"], ["c", "i + 9", "i + 24"], ["i", "z + 17", "z + 41"], ["z", "w + 6", "w + 47"], ["w", "v + 6", "v + 53"], ["v", 5, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"v": 5}, "is_reverse": true}} | 14,872 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = b + 17; z = w + 6; t = d + 10; b = t + 16; w = v + 6; d = v + 5; v = 5; h = c + 12; e = k + 19; c = i + 9; k = j + 11; o = h + 3; i = z + 17. If v = 5, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 12 to o, which gives o = c + 15.\n2. Substitute c = i + 9 to o, which gives o = i + 24.\n3. Substitute i = z + 17 to o, which gives o = z + 41.\n4. Substitute z = w + 6 to o, which gives o = w + 47.\n5. Substitute w = v + 6 to o, which gives o = v + 53.\n6. Substitute v = 5 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 14872,
"question": "Consider a system of variables where each variable is defined as follows: j = b + 17; z = w + 6; t = d + 10; b = t + 16; w = v + 6; d = v + 5; v = 5; h = c + 12; e = k + 19; c = i + 9; k = j + 11; o = h + 3; i = z + 17. If v = 5, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"n": "p + 6", "s": "n + 14", "y": "s + 15", "o": "y + 8", "d": "o + 14", "t": "d + 13", "r": "p + 3", "e": "r + 3", "u": "e + 11", "h": "u + 9", "f": "h + 19", "x": "f + 12", "p": 9}, "premises": {"p": 9}, "target": "t"}, "answer": {"steps": [["d", "o + 14", "o + 27"], ["o", "y + 8", "y + 35"], ["y", "s + 15", "s + 50"], ["s", "n + 14", "n + 64"], ["n", "p + 6", "p + 70"], ["p", 9, "79"]], "target_var_name": "t", "target_value": 79, "value_dict": {"p": 9}, "is_reverse": true}} | 14,873 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = f + 12; r = p + 3; e = r + 3; o = y + 8; f = h + 19; s = n + 14; n = p + 6; t = d + 13; p = 9; d = o + 14; h = u + 9; y = s + 15; u = e + 11. If p = 9, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 14 to t, which gives t = o + 27.\n2. Substitute o = y + 8 to t, which gives t = y + 35.\n3. Substitute y = s + 15 to t, which gives t = s + 50.\n4. Substitute s = n + 14 to t, which gives t = n + 64.\n5. Substitute n = p + 6 to t, which gives t = p + 70.\n6. Substitute p = 9 to t, which gives t = 79.\n\nThus, the final answer is t = \\boxed{79}.",
"index": 14873,
"question": "Consider a system of variables where each variable is defined as follows: x = f + 12; r = p + 3; e = r + 3; o = y + 8; f = h + 19; s = n + 14; n = p + 6; t = d + 13; p = 9; d = o + 14; h = u + 9; y = s + 15; u = e + 11. If p = 9, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 7", "r": "h + 19", "f": "r + 1", "o": "f + 11", "b": "o + 1", "a": "b + 2", "x": "u + 12", "d": "x + 14", "n": "d + 13", "k": "n + 9", "j": "k + 9", "t": "j + 13", "u": 6}, "premises": {"u": 6}, "target": "a"}, "answer": {"steps": [["b", "o + 1", "o + 3"], ["o", "f + 11", "f + 14"], ["f", "r + 1", "r + 15"], ["r", "h + 19", "h + 34"], ["h", "u + 7", "u + 41"], ["u", 6, "47"]], "target_var_name": "a", "target_value": 47, "value_dict": {"u": 6}, "is_reverse": true}} | 14,874 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = 6; t = j + 13; x = u + 12; o = f + 11; a = b + 2; f = r + 1; b = o + 1; r = h + 19; d = x + 14; h = u + 7; j = k + 9; k = n + 9; n = d + 13. Given that u = 6, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 1 to a, which gives a = o + 3.\n2. Substitute o = f + 11 to a, which gives a = f + 14.\n3. Substitute f = r + 1 to a, which gives a = r + 15.\n4. Substitute r = h + 19 to a, which gives a = h + 34.\n5. Substitute h = u + 7 to a, which gives a = u + 41.\n6. Substitute u = 6 to a, which gives a = 47.\n\nThus, the final answer is a = \\boxed{47}.",
"index": 14874,
"question": "Suppose a collection of variables is related by the following definitions: u = 6; t = j + 13; x = u + 12; o = f + 11; a = b + 2; f = r + 1; b = o + 1; r = h + 19; d = x + 14; h = u + 7; j = k + 9; k = n + 9; n = d + 13. Given that u = 6, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 18", "v": "i + 13", "n": "v + 11", "o": "n + 13", "a": "o + 15", "e": "a + 18", "h": "g + 17", "l": "h + 18", "x": "l + 2", "z": "x + 13", "u": "z + 13", "m": "u + 18", "g": 1}, "premises": {"g": 1}, "target": "e"}, "answer": {"steps": [["a", "o + 15", "o + 33"], ["o", "n + 13", "n + 46"], ["n", "v + 11", "v + 57"], ["v", "i + 13", "i + 70"], ["i", "g + 18", "g + 88"], ["g", 1, "89"]], "target_var_name": "e", "target_value": 89, "value_dict": {"g": 1}, "is_reverse": true}} | 14,875 | 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 = n + 13; l = h + 18; i = g + 18; v = i + 13; m = u + 18; u = z + 13; a = o + 15; z = x + 13; g = 1; n = v + 11; e = a + 18; h = g + 17; x = l + 2. If g = 1, what is the resulting value of e?",
"role": "u... | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 15 to e, which gives e = o + 33.\n2. Substitute o = n + 13 to e, which gives e = n + 46.\n3. Substitute n = v + 11 to e, which gives e = v + 57.\n4. Substitute v = i + 13 to e, which gives e = i + 70.\n5. Substitute i = g + 18 to e, which gives e = g + 88.\n6. Substitute g = 1 to e, which gives e = 89.\n\nThus, the final answer is e = \\boxed{89}.",
"index": 14875,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 13; l = h + 18; i = g + 18; v = i + 13; m = u + 18; u = z + 13; a = o + 15; z = x + 13; g = 1; n = v + 11; e = a + 18; h = g + 17; x = l + 2. If g = 1, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 1", "q": "y + 20", "t": "q + 13", "d": "t + 18", "c": "d + 10", "v": "c + 16", "k": "s + 16", "l": "k + 10", "m": "l + 15", "e": "m + 7", "p": "e + 7", "w": "p + 6", "s": 4}, "premises": {"s": 4}, "target": "v"}, "answer": {"steps": [["c", "d + 10", "d + 26"], ["d", "t + 18", "t + 44"], ["t", "q + 13", "q + 57"], ["q", "y + 20", "y + 77"], ["y", "s + 1", "s + 78"], ["s", 4, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"s": 4}, "is_reverse": true}} | 14,876 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = p + 6; k = s + 16; e = m + 7; l = k + 10; m = l + 15; q = y + 20; t = q + 13; s = 4; v = c + 16; y = s + 1; d = t + 18; c = d + 10; p = e + 7. Given that s = 4, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 10 to v, which gives v = d + 26.\n2. Substitute d = t + 18 to v, which gives v = t + 44.\n3. Substitute t = q + 13 to v, which gives v = q + 57.\n4. Substitute q = y + 20 to v, which gives v = y + 77.\n5. Substitute y = s + 1 to v, which gives v = s + 78.\n6. Substitute s = 4 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 14876,
"question": "Suppose a collection of variables is related by the following definitions: w = p + 6; k = s + 16; e = m + 7; l = k + 10; m = l + 15; q = y + 20; t = q + 13; s = 4; v = c + 16; y = s + 1; d = t + 18; c = d + 10; p = e + 7. Given that s = 4, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 2", "b": "s + 3", "y": "b + 15", "g": "y + 3", "k": "g + 15", "n": "k + 14", "j": "z + 1", "f": "j + 20", "c": "f + 20", "v": "c + 17", "o": "v + 2", "m": "o + 8", "z": 14}, "premises": {"z": 14}, "target": "n"}, "answer": {"steps": [["k", "g + 15", "g + 29"], ["g", "y + 3", "y + 32"], ["y", "b + 15", "b + 47"], ["b", "s + 3", "s + 50"], ["s", "z + 2", "z + 52"], ["z", 14, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"z": 14}, "is_reverse": true}} | 14,877 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = c + 17; b = s + 3; j = z + 1; o = v + 2; g = y + 3; s = z + 2; z = 14; c = f + 20; f = j + 20; n = k + 14; m = o + 8; y = b + 15; k = g + 15. Given that z = 14, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 15 to n, which gives n = g + 29.\n2. Substitute g = y + 3 to n, which gives n = y + 32.\n3. Substitute y = b + 15 to n, which gives n = b + 47.\n4. Substitute b = s + 3 to n, which gives n = s + 50.\n5. Substitute s = z + 2 to n, which gives n = z + 52.\n6. Substitute z = 14 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 14877,
"question": "Suppose a collection of variables is related by the following definitions: v = c + 17; b = s + 3; j = z + 1; o = v + 2; g = y + 3; s = z + 2; z = 14; c = f + 20; f = j + 20; n = k + 14; m = o + 8; y = b + 15; k = g + 15. Given that z = 14, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 4", "j": "h + 12", "x": "j + 13", "k": "x + 16", "e": "k + 8", "q": "e + 6", "f": "z + 1", "t": "f + 13", "g": "t + 6", "o": "g + 1", "r": "o + 6", "b": "r + 1", "z": 15}, "premises": {"z": 15}, "target": "q"}, "answer": {"steps": [["e", "k + 8", "k + 14"], ["k", "x + 16", "x + 30"], ["x", "j + 13", "j + 43"], ["j", "h + 12", "h + 55"], ["h", "z + 4", "z + 59"], ["z", 15, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"z": 15}, "is_reverse": true}} | 14,878 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = f + 13; q = e + 6; o = g + 1; r = o + 6; z = 15; k = x + 16; j = h + 12; f = z + 1; x = j + 13; g = t + 6; b = r + 1; e = k + 8; h = z + 4. Given that z = 15, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 8 to q, which gives q = k + 14.\n2. Substitute k = x + 16 to q, which gives q = x + 30.\n3. Substitute x = j + 13 to q, which gives q = j + 43.\n4. Substitute j = h + 12 to q, which gives q = h + 55.\n5. Substitute h = z + 4 to q, which gives q = z + 59.\n6. Substitute z = 15 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 14878,
"question": "Suppose a collection of variables is related by the following definitions: t = f + 13; q = e + 6; o = g + 1; r = o + 6; z = 15; k = x + 16; j = h + 12; f = z + 1; x = j + 13; g = t + 6; b = r + 1; e = k + 8; h = z + 4. Given that z = 15, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 7", "n": "g + 8", "j": "n + 13", "t": "j + 2", "k": "t + 9", "r": "k + 12", "u": "h + 19", "e": "u + 17", "p": "e + 2", "d": "p + 3", "w": "d + 6", "b": "w + 6", "h": 5}, "premises": {"h": 5}, "target": "r"}, "answer": {"steps": [["k", "t + 9", "t + 21"], ["t", "j + 2", "j + 23"], ["j", "n + 13", "n + 36"], ["n", "g + 8", "g + 44"], ["g", "h + 7", "h + 51"], ["h", 5, "56"]], "target_var_name": "r", "target_value": 56, "value_dict": {"h": 5}, "is_reverse": true}} | 14,879 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = 5; d = p + 3; j = n + 13; n = g + 8; g = h + 7; e = u + 17; p = e + 2; u = h + 19; t = j + 2; b = w + 6; r = k + 12; w = d + 6; k = t + 9. Given that h = 5, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 9 to r, which gives r = t + 21.\n2. Substitute t = j + 2 to r, which gives r = j + 23.\n3. Substitute j = n + 13 to r, which gives r = n + 36.\n4. Substitute n = g + 8 to r, which gives r = g + 44.\n5. Substitute g = h + 7 to r, which gives r = h + 51.\n6. Substitute h = 5 to r, which gives r = 56.\n\nThus, the final answer is r = \\boxed{56}.",
"index": 14879,
"question": "Suppose a collection of variables is related by the following definitions: h = 5; d = p + 3; j = n + 13; n = g + 8; g = h + 7; e = u + 17; p = e + 2; u = h + 19; t = j + 2; b = w + 6; r = k + 12; w = d + 6; k = t + 9. Given that h = 5, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 14", "i": "f + 9", "q": "i + 10", "b": "q + 1", "z": "b + 10", "h": "z + 14", "t": "n + 10", "x": "t + 12", "y": "x + 7", "g": "y + 6", "o": "g + 6", "e": "o + 16", "n": 2}, "premises": {"n": 2}, "target": "h"}, "answer": {"steps": [["z", "b + 10", "b + 24"], ["b", "q + 1", "q + 25"], ["q", "i + 10", "i + 35"], ["i", "f + 9", "f + 44"], ["f", "n + 14", "n + 58"], ["n", 2, "60"]], "target_var_name": "h", "target_value": 60, "value_dict": {"n": 2}, "is_reverse": true}} | 14,880 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = o + 16; b = q + 1; t = n + 10; y = x + 7; n = 2; q = i + 10; o = g + 6; z = b + 10; g = y + 6; f = n + 14; h = z + 14; x = t + 12; i = f + 9. Given that n = 2, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 10 to h, which gives h = b + 24.\n2. Substitute b = q + 1 to h, which gives h = q + 25.\n3. Substitute q = i + 10 to h, which gives h = i + 35.\n4. Substitute i = f + 9 to h, which gives h = f + 44.\n5. Substitute f = n + 14 to h, which gives h = n + 58.\n6. Substitute n = 2 to h, which gives h = 60.\n\nThus, the final answer is h = \\boxed{60}.",
"index": 14880,
"question": "Suppose a collection of variables is related by the following definitions: e = o + 16; b = q + 1; t = n + 10; y = x + 7; n = 2; q = i + 10; o = g + 6; z = b + 10; g = y + 6; f = n + 14; h = z + 14; x = t + 12; i = f + 9. Given that n = 2, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 3", "z": "b + 6", "h": "z + 18", "n": "h + 11", "c": "n + 12", "r": "c + 12", "a": "g + 19", "o": "a + 4", "i": "o + 6", "l": "i + 20", "s": "l + 17", "d": "s + 11", "g": 8}, "premises": {"g": 8}, "target": "r"}, "answer": {"steps": [["c", "n + 12", "n + 24"], ["n", "h + 11", "h + 35"], ["h", "z + 18", "z + 53"], ["z", "b + 6", "b + 59"], ["b", "g + 3", "g + 62"], ["g", 8, "70"]], "target_var_name": "r", "target_value": 70, "value_dict": {"g": 8}, "is_reverse": true}} | 14,881 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = h + 11; c = n + 12; s = l + 17; l = i + 20; h = z + 18; r = c + 12; a = g + 19; o = a + 4; i = o + 6; g = 8; z = b + 6; b = g + 3; d = s + 11. Given that g = 8, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 12 to r, which gives r = n + 24.\n2. Substitute n = h + 11 to r, which gives r = h + 35.\n3. Substitute h = z + 18 to r, which gives r = z + 53.\n4. Substitute z = b + 6 to r, which gives r = b + 59.\n5. Substitute b = g + 3 to r, which gives r = g + 62.\n6. Substitute g = 8 to r, which gives r = 70.\n\nThus, the final answer is r = \\boxed{70}.",
"index": 14881,
"question": "Suppose a collection of variables is related by the following definitions: n = h + 11; c = n + 12; s = l + 17; l = i + 20; h = z + 18; r = c + 12; a = g + 19; o = a + 4; i = o + 6; g = 8; z = b + 6; b = g + 3; d = s + 11. Given that g = 8, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"f": "l + 5", "t": "f + 4", "z": "t + 13", "q": "z + 16", "e": "q + 8", "c": "e + 1", "h": "l + 5", "s": "h + 12", "o": "s + 15", "p": "o + 19", "g": "p + 20", "y": "g + 13", "l": 2}, "premises": {"l": 2}, "target": "c"}, "answer": {"steps": [["e", "q + 8", "q + 9"], ["q", "z + 16", "z + 25"], ["z", "t + 13", "t + 38"], ["t", "f + 4", "f + 42"], ["f", "l + 5", "l + 47"], ["l", 2, "49"]], "target_var_name": "c", "target_value": 49, "value_dict": {"l": 2}, "is_reverse": true}} | 14,882 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = h + 12; q = z + 16; t = f + 4; g = p + 20; z = t + 13; l = 2; c = e + 1; p = o + 19; h = l + 5; e = q + 8; o = s + 15; y = g + 13; f = l + 5. If l = 2, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 8 to c, which gives c = q + 9.\n2. Substitute q = z + 16 to c, which gives c = z + 25.\n3. Substitute z = t + 13 to c, which gives c = t + 38.\n4. Substitute t = f + 4 to c, which gives c = f + 42.\n5. Substitute f = l + 5 to c, which gives c = l + 47.\n6. Substitute l = 2 to c, which gives c = 49.\n\nThus, the final answer is c = \\boxed{49}.",
"index": 14882,
"question": "Consider a system of variables where each variable is defined as follows: s = h + 12; q = z + 16; t = f + 4; g = p + 20; z = t + 13; l = 2; c = e + 1; p = o + 19; h = l + 5; e = q + 8; o = s + 15; y = g + 13; f = l + 5. If l = 2, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 6", "n": "s + 12", "y": "n + 7", "u": "y + 8", "f": "u + 12", "a": "f + 11", "j": "c + 6", "b": "j + 15", "x": "b + 4", "p": "x + 3", "e": "p + 14", "d": "e + 1", "c": 20}, "premises": {"c": 20}, "target": "a"}, "answer": {"steps": [["f", "u + 12", "u + 23"], ["u", "y + 8", "y + 31"], ["y", "n + 7", "n + 38"], ["n", "s + 12", "s + 50"], ["s", "c + 6", "c + 56"], ["c", 20, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"c": 20}, "is_reverse": true}} | 14,883 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = x + 3; a = f + 11; b = j + 15; n = s + 12; s = c + 6; f = u + 12; c = 20; u = y + 8; x = b + 4; y = n + 7; j = c + 6; d = e + 1; e = p + 14. Given that c = 20, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 12 to a, which gives a = u + 23.\n2. Substitute u = y + 8 to a, which gives a = y + 31.\n3. Substitute y = n + 7 to a, which gives a = n + 38.\n4. Substitute n = s + 12 to a, which gives a = s + 50.\n5. Substitute s = c + 6 to a, which gives a = c + 56.\n6. Substitute c = 20 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 14883,
"question": "Suppose a collection of variables is related by the following definitions: p = x + 3; a = f + 11; b = j + 15; n = s + 12; s = c + 6; f = u + 12; c = 20; u = y + 8; x = b + 4; y = n + 7; j = c + 6; d = e + 1; e = p + 14. Given that c = 20, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"p": "z + 15", "h": "p + 17", "o": "h + 5", "u": "o + 9", "v": "u + 16", "t": "v + 12", "i": "z + 14", "g": "i + 15", "r": "g + 6", "b": "r + 1", "c": "b + 18", "q": "c + 4", "z": 14}, "premises": {"z": 14}, "target": "t"}, "answer": {"steps": [["v", "u + 16", "u + 28"], ["u", "o + 9", "o + 37"], ["o", "h + 5", "h + 42"], ["h", "p + 17", "p + 59"], ["p", "z + 15", "z + 74"], ["z", 14, "88"]], "target_var_name": "t", "target_value": 88, "value_dict": {"z": 14}, "is_reverse": true}} | 14,884 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 4; h = p + 17; o = h + 5; i = z + 14; z = 14; b = r + 1; u = o + 9; r = g + 6; p = z + 15; g = i + 15; t = v + 12; v = u + 16; c = b + 18. If z = 14, what is the resulting value of t?",
"role": "use... | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 16 to t, which gives t = u + 28.\n2. Substitute u = o + 9 to t, which gives t = o + 37.\n3. Substitute o = h + 5 to t, which gives t = h + 42.\n4. Substitute h = p + 17 to t, which gives t = p + 59.\n5. Substitute p = z + 15 to t, which gives t = z + 74.\n6. Substitute z = 14 to t, which gives t = 88.\n\nThus, the final answer is t = \\boxed{88}.",
"index": 14884,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 4; h = p + 17; o = h + 5; i = z + 14; z = 14; b = r + 1; u = o + 9; r = g + 6; p = z + 15; g = i + 15; t = v + 12; v = u + 16; c = b + 18. If z = 14, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 19", "b": "p + 3", "v": "b + 12", "j": "v + 14", "s": "j + 3", "l": "s + 13", "w": "m + 18", "a": "w + 7", "h": "a + 9", "k": "h + 14", "d": "k + 10", "x": "d + 11", "m": 15}, "premises": {"m": 15}, "target": "l"}, "answer": {"steps": [["s", "j + 3", "j + 16"], ["j", "v + 14", "v + 30"], ["v", "b + 12", "b + 42"], ["b", "p + 3", "p + 45"], ["p", "m + 19", "m + 64"], ["m", 15, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"m": 15}, "is_reverse": true}} | 14,885 | 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 = v + 14; l = s + 13; a = w + 7; x = d + 11; b = p + 3; v = b + 12; s = j + 3; m = 15; d = k + 10; w = m + 18; k = h + 14; h = a + 9; p = m + 19. If m = 15, what is the resulting value of l?",
"role": "us... | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 3 to l, which gives l = j + 16.\n2. Substitute j = v + 14 to l, which gives l = v + 30.\n3. Substitute v = b + 12 to l, which gives l = b + 42.\n4. Substitute b = p + 3 to l, which gives l = p + 45.\n5. Substitute p = m + 19 to l, which gives l = m + 64.\n6. Substitute m = 15 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 14885,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 14; l = s + 13; a = w + 7; x = d + 11; b = p + 3; v = b + 12; s = j + 3; m = 15; d = k + 10; w = m + 18; k = h + 14; h = a + 9; p = m + 19. If m = 15, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 1", "g": "q + 15", "o": "g + 7", "k": "o + 4", "w": "k + 11", "c": "w + 16", "x": "i + 12", "s": "x + 16", "r": "s + 11", "d": "r + 14", "f": "d + 8", "j": "f + 4", "i": 7}, "premises": {"i": 7}, "target": "c"}, "answer": {"steps": [["w", "k + 11", "k + 27"], ["k", "o + 4", "o + 31"], ["o", "g + 7", "g + 38"], ["g", "q + 15", "q + 53"], ["q", "i + 1", "i + 54"], ["i", 7, "61"]], "target_var_name": "c", "target_value": 61, "value_dict": {"i": 7}, "is_reverse": true}} | 14,886 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = w + 16; x = i + 12; f = d + 8; q = i + 1; d = r + 14; g = q + 15; w = k + 11; j = f + 4; s = x + 16; k = o + 4; r = s + 11; o = g + 7; i = 7. If i = 7, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 11 to c, which gives c = k + 27.\n2. Substitute k = o + 4 to c, which gives c = o + 31.\n3. Substitute o = g + 7 to c, which gives c = g + 38.\n4. Substitute g = q + 15 to c, which gives c = q + 53.\n5. Substitute q = i + 1 to c, which gives c = i + 54.\n6. Substitute i = 7 to c, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 14886,
"question": "Consider a system of variables where each variable is defined as follows: c = w + 16; x = i + 12; f = d + 8; q = i + 1; d = r + 14; g = q + 15; w = k + 11; j = f + 4; s = x + 16; k = o + 4; r = s + 11; o = g + 7; i = 7. If i = 7, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 6", "e": "h + 10", "x": "e + 8", "u": "x + 14", "b": "u + 8", "s": "b + 4", "v": "m + 2", "c": "v + 7", "l": "c + 11", "z": "l + 8", "g": "z + 6", "o": "g + 18", "m": 14}, "premises": {"m": 14}, "target": "s"}, "answer": {"steps": [["b", "u + 8", "u + 12"], ["u", "x + 14", "x + 26"], ["x", "e + 8", "e + 34"], ["e", "h + 10", "h + 44"], ["h", "m + 6", "m + 50"], ["m", 14, "64"]], "target_var_name": "s", "target_value": 64, "value_dict": {"m": 14}, "is_reverse": true}} | 14,887 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = 14; c = v + 7; g = z + 6; u = x + 14; b = u + 8; s = b + 4; x = e + 8; z = l + 8; e = h + 10; l = c + 11; o = g + 18; h = m + 6; v = m + 2. If m = 14, what is the resulting value of s?",
"role": "user"
... | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 8 to s, which gives s = u + 12.\n2. Substitute u = x + 14 to s, which gives s = x + 26.\n3. Substitute x = e + 8 to s, which gives s = e + 34.\n4. Substitute e = h + 10 to s, which gives s = h + 44.\n5. Substitute h = m + 6 to s, which gives s = m + 50.\n6. Substitute m = 14 to s, which gives s = 64.\n\nThus, the final answer is s = \\boxed{64}.",
"index": 14887,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = 14; c = v + 7; g = z + 6; u = x + 14; b = u + 8; s = b + 4; x = e + 8; z = l + 8; e = h + 10; l = c + 11; o = g + 18; h = m + 6; v = m + 2. If m = 14, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 13", "t": "e + 4", "k": "t + 12", "y": "k + 9", "q": "y + 16", "b": "q + 6", "s": "u + 17", "l": "s + 12", "h": "l + 11", "c": "h + 16", "r": "c + 13", "o": "r + 11", "u": 2}, "premises": {"u": 2}, "target": "b"}, "answer": {"steps": [["q", "y + 16", "y + 22"], ["y", "k + 9", "k + 31"], ["k", "t + 12", "t + 43"], ["t", "e + 4", "e + 47"], ["e", "u + 13", "u + 60"], ["u", 2, "62"]], "target_var_name": "b", "target_value": 62, "value_dict": {"u": 2}, "is_reverse": true}} | 14,888 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = u + 13; h = l + 11; c = h + 16; u = 2; b = q + 6; q = y + 16; l = s + 12; s = u + 17; t = e + 4; k = t + 12; y = k + 9; o = r + 11; r = c + 13. Given that u = 2, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 16 to b, which gives b = y + 22.\n2. Substitute y = k + 9 to b, which gives b = k + 31.\n3. Substitute k = t + 12 to b, which gives b = t + 43.\n4. Substitute t = e + 4 to b, which gives b = e + 47.\n5. Substitute e = u + 13 to b, which gives b = u + 60.\n6. Substitute u = 2 to b, which gives b = 62.\n\nThus, the final answer is b = \\boxed{62}.",
"index": 14888,
"question": "Suppose a collection of variables is related by the following definitions: e = u + 13; h = l + 11; c = h + 16; u = 2; b = q + 6; q = y + 16; l = s + 12; s = u + 17; t = e + 4; k = t + 12; y = k + 9; o = r + 11; r = c + 13. Given that u = 2, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 5", "k": "z + 18", "y": "k + 20", "a": "y + 19", "e": "a + 18", "t": "e + 1", "x": "d + 14", "q": "x + 18", "r": "q + 18", "n": "r + 14", "o": "n + 18", "i": "o + 1", "d": 16}, "premises": {"d": 16}, "target": "t"}, "answer": {"steps": [["e", "a + 18", "a + 19"], ["a", "y + 19", "y + 38"], ["y", "k + 20", "k + 58"], ["k", "z + 18", "z + 76"], ["z", "d + 5", "d + 81"], ["d", 16, "97"]], "target_var_name": "t", "target_value": 97, "value_dict": {"d": 16}, "is_reverse": true}} | 14,889 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = d + 14; i = o + 1; t = e + 1; y = k + 20; q = x + 18; o = n + 18; k = z + 18; n = r + 14; e = a + 18; d = 16; a = y + 19; z = d + 5; r = q + 18. If d = 16, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 18 to t, which gives t = a + 19.\n2. Substitute a = y + 19 to t, which gives t = y + 38.\n3. Substitute y = k + 20 to t, which gives t = k + 58.\n4. Substitute k = z + 18 to t, which gives t = z + 76.\n5. Substitute z = d + 5 to t, which gives t = d + 81.\n6. Substitute d = 16 to t, which gives t = 97.\n\nThus, the final answer is t = \\boxed{97}.",
"index": 14889,
"question": "Consider a system of variables where each variable is defined as follows: x = d + 14; i = o + 1; t = e + 1; y = k + 20; q = x + 18; o = n + 18; k = z + 18; n = r + 14; e = a + 18; d = 16; a = y + 19; z = d + 5; r = q + 18. If d = 16, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"j": "m + 10", "d": "j + 19", "n": "d + 8", "x": "n + 15", "p": "x + 11", "k": "p + 3", "f": "m + 4", "v": "f + 8", "u": "v + 15", "b": "u + 16", "t": "b + 6", "g": "t + 10", "m": 12}, "premises": {"m": 12}, "target": "k"}, "answer": {"steps": [["p", "x + 11", "x + 14"], ["x", "n + 15", "n + 29"], ["n", "d + 8", "d + 37"], ["d", "j + 19", "j + 56"], ["j", "m + 10", "m + 66"], ["m", 12, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"m": 12}, "is_reverse": true}} | 14,890 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = f + 8; n = d + 8; m = 12; j = m + 10; t = b + 6; u = v + 15; d = j + 19; f = m + 4; b = u + 16; x = n + 15; p = x + 11; k = p + 3; g = t + 10. Given that m = 12, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 11 to k, which gives k = x + 14.\n2. Substitute x = n + 15 to k, which gives k = n + 29.\n3. Substitute n = d + 8 to k, which gives k = d + 37.\n4. Substitute d = j + 19 to k, which gives k = j + 56.\n5. Substitute j = m + 10 to k, which gives k = m + 66.\n6. Substitute m = 12 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 14890,
"question": "Suppose a collection of variables is related by the following definitions: v = f + 8; n = d + 8; m = 12; j = m + 10; t = b + 6; u = v + 15; d = j + 19; f = m + 4; b = u + 16; x = n + 15; p = x + 11; k = p + 3; g = t + 10. Given that m = 12, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"s": "o + 10", "d": "s + 1", "k": "d + 10", "v": "k + 11", "h": "v + 15", "b": "h + 19", "p": "o + 10", "m": "p + 9", "l": "m + 3", "f": "l + 18", "e": "f + 7", "z": "e + 5", "o": 15}, "premises": {"o": 15}, "target": "b"}, "answer": {"steps": [["h", "v + 15", "v + 34"], ["v", "k + 11", "k + 45"], ["k", "d + 10", "d + 55"], ["d", "s + 1", "s + 56"], ["s", "o + 10", "o + 66"], ["o", 15, "81"]], "target_var_name": "b", "target_value": 81, "value_dict": {"o": 15}, "is_reverse": true}} | 14,891 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = l + 18; h = v + 15; v = k + 11; m = p + 9; d = s + 1; z = e + 5; o = 15; p = o + 10; e = f + 7; s = o + 10; k = d + 10; l = m + 3; b = h + 19. Given that o = 15, find 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. Substitute h = v + 15 to b, which gives b = v + 34.\n2. Substitute v = k + 11 to b, which gives b = k + 45.\n3. Substitute k = d + 10 to b, which gives b = d + 55.\n4. Substitute d = s + 1 to b, which gives b = s + 56.\n5. Substitute s = o + 10 to b, which gives b = o + 66.\n6. Substitute o = 15 to b, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 14891,
"question": "Suppose a collection of variables is related by the following definitions: f = l + 18; h = v + 15; v = k + 11; m = p + 9; d = s + 1; z = e + 5; o = 15; p = o + 10; e = f + 7; s = o + 10; k = d + 10; l = m + 3; b = h + 19. Given that o = 15, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"d": "c + 8", "l": "d + 2", "r": "l + 8", "j": "r + 20", "h": "j + 9", "a": "h + 18", "s": "c + 6", "p": "s + 2", "k": "p + 1", "y": "k + 6", "b": "y + 8", "i": "b + 14", "c": 3}, "premises": {"c": 3}, "target": "a"}, "answer": {"steps": [["h", "j + 9", "j + 27"], ["j", "r + 20", "r + 47"], ["r", "l + 8", "l + 55"], ["l", "d + 2", "d + 57"], ["d", "c + 8", "c + 65"], ["c", 3, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"c": 3}, "is_reverse": true}} | 14,892 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = 3; h = j + 9; d = c + 8; s = c + 6; p = s + 2; a = h + 18; b = y + 8; r = l + 8; j = r + 20; y = k + 6; k = p + 1; i = b + 14; l = d + 2. If c = 3, what is the resulting value of a?",
"role": "user"
}... | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 9 to a, which gives a = j + 27.\n2. Substitute j = r + 20 to a, which gives a = r + 47.\n3. Substitute r = l + 8 to a, which gives a = l + 55.\n4. Substitute l = d + 2 to a, which gives a = d + 57.\n5. Substitute d = c + 8 to a, which gives a = c + 65.\n6. Substitute c = 3 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 14892,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = 3; h = j + 9; d = c + 8; s = c + 6; p = s + 2; a = h + 18; b = y + 8; r = l + 8; j = r + 20; y = k + 6; k = p + 1; i = b + 14; l = d + 2. If c = 3, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 7", "g": "o + 16", "m": "g + 3", "t": "m + 15", "f": "t + 15", "v": "f + 10", "c": "n + 5", "w": "c + 16", "l": "w + 19", "q": "l + 13", "r": "q + 17", "z": "r + 3", "n": 4}, "premises": {"n": 4}, "target": "v"}, "answer": {"steps": [["f", "t + 15", "t + 25"], ["t", "m + 15", "m + 40"], ["m", "g + 3", "g + 43"], ["g", "o + 16", "o + 59"], ["o", "n + 7", "n + 66"], ["n", 4, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"n": 4}, "is_reverse": true}} | 14,893 | 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 = r + 3; w = c + 16; q = l + 13; c = n + 5; m = g + 3; v = f + 10; r = q + 17; o = n + 7; t = m + 15; f = t + 15; l = w + 19; n = 4; g = o + 16. If n = 4, what is the resulting value of v?",
"role": "user... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 15 to v, which gives v = t + 25.\n2. Substitute t = m + 15 to v, which gives v = m + 40.\n3. Substitute m = g + 3 to v, which gives v = g + 43.\n4. Substitute g = o + 16 to v, which gives v = o + 59.\n5. Substitute o = n + 7 to v, which gives v = n + 66.\n6. Substitute n = 4 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 14893,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 3; w = c + 16; q = l + 13; c = n + 5; m = g + 3; v = f + 10; r = q + 17; o = n + 7; t = m + 15; f = t + 15; l = w + 19; n = 4; g = o + 16. If n = 4, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"m": "y + 2", "u": "m + 14", "i": "u + 13", "w": "i + 15", "q": "w + 18", "p": "q + 11", "a": "y + 13", "d": "a + 20", "c": "d + 16", "v": "c + 20", "t": "v + 8", "r": "t + 11", "y": 4}, "premises": {"y": 4}, "target": "p"}, "answer": {"steps": [["q", "w + 18", "w + 29"], ["w", "i + 15", "i + 44"], ["i", "u + 13", "u + 57"], ["u", "m + 14", "m + 71"], ["m", "y + 2", "y + 73"], ["y", 4, "77"]], "target_var_name": "p", "target_value": 77, "value_dict": {"y": 4}, "is_reverse": true}} | 14,894 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 2; w = i + 15; p = q + 11; u = m + 14; i = u + 13; c = d + 16; t = v + 8; a = y + 13; d = a + 20; y = 4; r = t + 11; q = w + 18; v = c + 20. If y = 4, what is the resulting value of p?",
"role": "us... | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 18 to p, which gives p = w + 29.\n2. Substitute w = i + 15 to p, which gives p = i + 44.\n3. Substitute i = u + 13 to p, which gives p = u + 57.\n4. Substitute u = m + 14 to p, which gives p = m + 71.\n5. Substitute m = y + 2 to p, which gives p = y + 73.\n6. Substitute y = 4 to p, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 14894,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 2; w = i + 15; p = q + 11; u = m + 14; i = u + 13; c = d + 16; t = v + 8; a = y + 13; d = a + 20; y = 4; r = t + 11; q = w + 18; v = c + 20. If y = 4, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 9", "r": "x + 5", "v": "r + 15", "e": "v + 19", "l": "e + 17", "h": "l + 6", "b": "k + 7", "j": "b + 7", "o": "j + 17", "f": "o + 16", "a": "f + 10", "c": "a + 8", "k": 15}, "premises": {"k": 15}, "target": "h"}, "answer": {"steps": [["l", "e + 17", "e + 23"], ["e", "v + 19", "v + 42"], ["v", "r + 15", "r + 57"], ["r", "x + 5", "x + 62"], ["x", "k + 9", "k + 71"], ["k", 15, "86"]], "target_var_name": "h", "target_value": 86, "value_dict": {"k": 15}, "is_reverse": true}} | 14,895 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = a + 8; f = o + 16; l = e + 17; b = k + 7; k = 15; o = j + 17; x = k + 9; a = f + 10; h = l + 6; e = v + 19; r = x + 5; v = r + 15; j = b + 7. If k = 15, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 17 to h, which gives h = e + 23.\n2. Substitute e = v + 19 to h, which gives h = v + 42.\n3. Substitute v = r + 15 to h, which gives h = r + 57.\n4. Substitute r = x + 5 to h, which gives h = x + 62.\n5. Substitute x = k + 9 to h, which gives h = k + 71.\n6. Substitute k = 15 to h, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 14895,
"question": "Consider a system of variables where each variable is defined as follows: c = a + 8; f = o + 16; l = e + 17; b = k + 7; k = 15; o = j + 17; x = k + 9; a = f + 10; h = l + 6; e = v + 19; r = x + 5; v = r + 15; j = b + 7. If k = 15, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"i": "d + 7", "p": "i + 20", "j": "p + 1", "t": "j + 8", "v": "t + 20", "b": "v + 11", "r": "d + 5", "a": "r + 9", "k": "a + 10", "h": "k + 12", "c": "h + 9", "o": "c + 11", "d": 6}, "premises": {"d": 6}, "target": "b"}, "answer": {"steps": [["v", "t + 20", "t + 31"], ["t", "j + 8", "j + 39"], ["j", "p + 1", "p + 40"], ["p", "i + 20", "i + 60"], ["i", "d + 7", "d + 67"], ["d", 6, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"d": 6}, "is_reverse": true}} | 14,896 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = 6; h = k + 12; t = j + 8; i = d + 7; b = v + 11; p = i + 20; j = p + 1; o = c + 11; k = a + 10; a = r + 9; c = h + 9; v = t + 20; r = d + 5. If d = 6, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 20 to b, which gives b = t + 31.\n2. Substitute t = j + 8 to b, which gives b = j + 39.\n3. Substitute j = p + 1 to b, which gives b = p + 40.\n4. Substitute p = i + 20 to b, which gives b = i + 60.\n5. Substitute i = d + 7 to b, which gives b = d + 67.\n6. Substitute d = 6 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 14896,
"question": "Consider a system of variables where each variable is defined as follows: d = 6; h = k + 12; t = j + 8; i = d + 7; b = v + 11; p = i + 20; j = p + 1; o = c + 11; k = a + 10; a = r + 9; c = h + 9; v = t + 20; r = d + 5. If d = 6, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "j + 4", "h": "t + 11", "b": "h + 9", "w": "b + 12", "m": "w + 16", "z": "m + 13", "y": "j + 1", "n": "y + 9", "g": "n + 14", "k": "g + 17", "u": "k + 14", "d": "u + 9", "j": 5}, "premises": {"j": 5}, "target": "z"}, "answer": {"steps": [["m", "w + 16", "w + 29"], ["w", "b + 12", "b + 41"], ["b", "h + 9", "h + 50"], ["h", "t + 11", "t + 61"], ["t", "j + 4", "j + 65"], ["j", 5, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"j": 5}, "is_reverse": true}} | 14,897 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 17; h = t + 11; g = n + 14; z = m + 13; n = y + 9; d = u + 9; t = j + 4; b = h + 9; m = w + 16; u = k + 14; j = 5; y = j + 1; w = b + 12. If j = 5, determine the 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. Substitute m = w + 16 to z, which gives z = w + 29.\n2. Substitute w = b + 12 to z, which gives z = b + 41.\n3. Substitute b = h + 9 to z, which gives z = h + 50.\n4. Substitute h = t + 11 to z, which gives z = t + 61.\n5. Substitute t = j + 4 to z, which gives z = j + 65.\n6. Substitute j = 5 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 14897,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 17; h = t + 11; g = n + 14; z = m + 13; n = y + 9; d = u + 9; t = j + 4; b = h + 9; m = w + 16; u = k + 14; j = 5; y = j + 1; w = b + 12. If j = 5, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 3", "y": "t + 1", "b": "y + 14", "o": "b + 5", "w": "o + 2", "e": "w + 14", "d": "k + 8", "j": "d + 9", "r": "j + 3", "z": "r + 15", "n": "z + 2", "a": "n + 11", "k": 6}, "premises": {"k": 6}, "target": "e"}, "answer": {"steps": [["w", "o + 2", "o + 16"], ["o", "b + 5", "b + 21"], ["b", "y + 14", "y + 35"], ["y", "t + 1", "t + 36"], ["t", "k + 3", "k + 39"], ["k", 6, "45"]], "target_var_name": "e", "target_value": 45, "value_dict": {"k": 6}, "is_reverse": true}} | 14,898 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = k + 3; w = o + 2; n = z + 2; k = 6; y = t + 1; a = n + 11; o = b + 5; d = k + 8; r = j + 3; j = d + 9; e = w + 14; b = y + 14; z = r + 15. If k = 6, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 2 to e, which gives e = o + 16.\n2. Substitute o = b + 5 to e, which gives e = b + 21.\n3. Substitute b = y + 14 to e, which gives e = y + 35.\n4. Substitute y = t + 1 to e, which gives e = t + 36.\n5. Substitute t = k + 3 to e, which gives e = k + 39.\n6. Substitute k = 6 to e, which gives e = 45.\n\nThus, the final answer is e = \\boxed{45}.",
"index": 14898,
"question": "Consider a system of variables where each variable is defined as follows: t = k + 3; w = o + 2; n = z + 2; k = 6; y = t + 1; a = n + 11; o = b + 5; d = k + 8; r = j + 3; j = d + 9; e = w + 14; b = y + 14; z = r + 15. If k = 6, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 10", "b": "x + 11", "u": "b + 10", "d": "u + 11", "z": "d + 4", "e": "z + 3", "j": "k + 2", "s": "j + 11", "r": "s + 13", "c": "r + 4", "v": "c + 3", "w": "v + 15", "k": 16}, "premises": {"k": 16}, "target": "e"}, "answer": {"steps": [["z", "d + 4", "d + 7"], ["d", "u + 11", "u + 18"], ["u", "b + 10", "b + 28"], ["b", "x + 11", "x + 39"], ["x", "k + 10", "k + 49"], ["k", 16, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"k": 16}, "is_reverse": true}} | 14,899 | 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 = 16; w = v + 15; z = d + 4; c = r + 4; r = s + 13; d = u + 11; v = c + 3; s = j + 11; j = k + 2; u = b + 10; e = z + 3; x = k + 10; b = x + 11. If k = 16, what is the resulting value of e?",
"role": "use... | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 4 to e, which gives e = d + 7.\n2. Substitute d = u + 11 to e, which gives e = u + 18.\n3. Substitute u = b + 10 to e, which gives e = b + 28.\n4. Substitute b = x + 11 to e, which gives e = x + 39.\n5. Substitute x = k + 10 to e, which gives e = k + 49.\n6. Substitute k = 16 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 14899,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = 16; w = v + 15; z = d + 4; c = r + 4; r = s + 13; d = u + 11; v = c + 3; s = j + 11; j = k + 2; u = b + 10; e = z + 3; x = k + 10; b = x + 11. If k = 16, what is the resulting value of e?",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.