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": {"r": "n + 17", "w": "r + 16", "h": "w + 14", "s": "h + 3", "m": "s + 6", "g": "m + 13", "k": "n + 10", "j": "k + 2", "p": "j + 13", "v": "p + 11", "b": "v + 8", "i": "b + 8", "n": 7}, "premises": {"n": 7}, "target": "g"}, "answer": {"steps": [["m", "s + 6", "s + 19"], ["s", "h + 3", "h + 22"], ["h", "w + 14", "w + 36"], ["w", "r + 16", "r + 52"], ["r", "n + 17", "n + 69"], ["n", 7, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"n": 7}, "is_reverse": true}} | 16,500 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = w + 14; v = p + 11; r = n + 17; m = s + 6; w = r + 16; g = m + 13; n = 7; i = b + 8; p = j + 13; j = k + 2; k = n + 10; b = v + 8; s = h + 3. Given that n = 7, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 6 to g, which gives g = s + 19.\n2. Substitute s = h + 3 to g, which gives g = h + 22.\n3. Substitute h = w + 14 to g, which gives g = w + 36.\n4. Substitute w = r + 16 to g, which gives g = r + 52.\n5. Substitute r = n + 17 to g, which gives g = n + 69.\n6. Substitute n = 7 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 16500,
"question": "Suppose a collection of variables is related by the following definitions: h = w + 14; v = p + 11; r = n + 17; m = s + 6; w = r + 16; g = m + 13; n = 7; i = b + 8; p = j + 13; j = k + 2; k = n + 10; b = v + 8; s = h + 3. Given that n = 7, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 17", "x": "r + 5", "m": "x + 7", "j": "m + 5", "d": "j + 17", "y": "d + 19", "v": "s + 17", "g": "v + 3", "p": "g + 4", "q": "p + 20", "i": "q + 19", "z": "i + 6", "s": 20}, "premises": {"s": 20}, "target": "y"}, "answer": {"steps": [["d", "j + 17", "j + 36"], ["j", "m + 5", "m + 41"], ["m", "x + 7", "x + 48"], ["x", "r + 5", "r + 53"], ["r", "s + 17", "s + 70"], ["s", 20, "90"]], "target_var_name": "y", "target_value": 90, "value_dict": {"s": 20}, "is_reverse": true}} | 16,501 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = v + 3; i = q + 19; x = r + 5; s = 20; r = s + 17; z = i + 6; m = x + 7; v = s + 17; j = m + 5; p = g + 4; q = p + 20; d = j + 17; y = d + 19. Given that s = 20, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 17 to y, which gives y = j + 36.\n2. Substitute j = m + 5 to y, which gives y = m + 41.\n3. Substitute m = x + 7 to y, which gives y = x + 48.\n4. Substitute x = r + 5 to y, which gives y = r + 53.\n5. Substitute r = s + 17 to y, which gives y = s + 70.\n6. Substitute s = 20 to y, which gives y = 90.\n\nThus, the final answer is y = \\boxed{90}.",
"index": 16501,
"question": "Suppose a collection of variables is related by the following definitions: g = v + 3; i = q + 19; x = r + 5; s = 20; r = s + 17; z = i + 6; m = x + 7; v = s + 17; j = m + 5; p = g + 4; q = p + 20; d = j + 17; y = d + 19. Given that s = 20, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"q": "l + 4", "z": "q + 16", "h": "z + 11", "r": "h + 6", "d": "r + 12", "x": "d + 15", "b": "l + 19", "v": "b + 13", "s": "v + 17", "m": "s + 9", "i": "m + 4", "p": "i + 8", "l": 17}, "premises": {"l": 17}, "target": "x"}, "answer": {"steps": [["d", "r + 12", "r + 27"], ["r", "h + 6", "h + 33"], ["h", "z + 11", "z + 44"], ["z", "q + 16", "q + 60"], ["q", "l + 4", "l + 64"], ["l", 17, "81"]], "target_var_name": "x", "target_value": 81, "value_dict": {"l": 17}, "is_reverse": true}} | 16,502 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = m + 4; v = b + 13; h = z + 11; l = 17; x = d + 15; d = r + 12; q = l + 4; s = v + 17; p = i + 8; b = l + 19; z = q + 16; r = h + 6; m = s + 9. If l = 17, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 12 to x, which gives x = r + 27.\n2. Substitute r = h + 6 to x, which gives x = h + 33.\n3. Substitute h = z + 11 to x, which gives x = z + 44.\n4. Substitute z = q + 16 to x, which gives x = q + 60.\n5. Substitute q = l + 4 to x, which gives x = l + 64.\n6. Substitute l = 17 to x, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 16502,
"question": "Consider a system of variables where each variable is defined as follows: i = m + 4; v = b + 13; h = z + 11; l = 17; x = d + 15; d = r + 12; q = l + 4; s = v + 17; p = i + 8; b = l + 19; z = q + 16; r = h + 6; m = s + 9. If l = 17, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 9", "f": "r + 4", "c": "f + 17", "p": "c + 8", "b": "p + 10", "a": "b + 2", "n": "h + 9", "u": "n + 13", "t": "u + 19", "g": "t + 2", "j": "g + 9", "v": "j + 9", "h": 4}, "premises": {"h": 4}, "target": "a"}, "answer": {"steps": [["b", "p + 10", "p + 12"], ["p", "c + 8", "c + 20"], ["c", "f + 17", "f + 37"], ["f", "r + 4", "r + 41"], ["r", "h + 9", "h + 50"], ["h", 4, "54"]], "target_var_name": "a", "target_value": 54, "value_dict": {"h": 4}, "is_reverse": true}} | 16,503 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 9; f = r + 4; u = n + 13; a = b + 2; c = f + 17; v = j + 9; g = t + 2; h = 4; n = h + 9; t = u + 19; p = c + 8; b = p + 10; j = g + 9. If h = 4, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 10 to a, which gives a = p + 12.\n2. Substitute p = c + 8 to a, which gives a = c + 20.\n3. Substitute c = f + 17 to a, which gives a = f + 37.\n4. Substitute f = r + 4 to a, which gives a = r + 41.\n5. Substitute r = h + 9 to a, which gives a = h + 50.\n6. Substitute h = 4 to a, which gives a = 54.\n\nThus, the final answer is a = \\boxed{54}.",
"index": 16503,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 9; f = r + 4; u = n + 13; a = b + 2; c = f + 17; v = j + 9; g = t + 2; h = 4; n = h + 9; t = u + 19; p = c + 8; b = p + 10; j = g + 9. If h = 4, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 15", "o": "w + 16", "p": "o + 20", "l": "p + 9", "c": "l + 3", "a": "c + 3", "e": "y + 3", "m": "e + 16", "x": "m + 20", "t": "x + 17", "f": "t + 15", "j": "f + 13", "y": 7}, "premises": {"y": 7}, "target": "a"}, "answer": {"steps": [["c", "l + 3", "l + 6"], ["l", "p + 9", "p + 15"], ["p", "o + 20", "o + 35"], ["o", "w + 16", "w + 51"], ["w", "y + 15", "y + 66"], ["y", 7, "73"]], "target_var_name": "a", "target_value": 73, "value_dict": {"y": 7}, "is_reverse": true}} | 16,504 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = p + 9; w = y + 15; t = x + 17; x = m + 20; y = 7; a = c + 3; m = e + 16; p = o + 20; e = y + 3; c = l + 3; j = f + 13; f = t + 15; o = w + 16. If y = 7, 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 c = l + 3 to a, which gives a = l + 6.\n2. Substitute l = p + 9 to a, which gives a = p + 15.\n3. Substitute p = o + 20 to a, which gives a = o + 35.\n4. Substitute o = w + 16 to a, which gives a = w + 51.\n5. Substitute w = y + 15 to a, which gives a = y + 66.\n6. Substitute y = 7 to a, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 16504,
"question": "Consider a system of variables where each variable is defined as follows: l = p + 9; w = y + 15; t = x + 17; x = m + 20; y = 7; a = c + 3; m = e + 16; p = o + 20; e = y + 3; c = l + 3; j = f + 13; f = t + 15; o = w + 16. If y = 7, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 9", "x": "j + 18", "s": "x + 5", "o": "s + 10", "g": "o + 7", "n": "g + 14", "y": "b + 6", "r": "y + 17", "m": "r + 5", "v": "m + 15", "z": "v + 3", "q": "z + 11", "b": 1}, "premises": {"b": 1}, "target": "n"}, "answer": {"steps": [["g", "o + 7", "o + 21"], ["o", "s + 10", "s + 31"], ["s", "x + 5", "x + 36"], ["x", "j + 18", "j + 54"], ["j", "b + 9", "b + 63"], ["b", 1, "64"]], "target_var_name": "n", "target_value": 64, "value_dict": {"b": 1}, "is_reverse": true}} | 16,505 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = s + 10; s = x + 5; j = b + 9; m = r + 5; q = z + 11; b = 1; r = y + 17; y = b + 6; x = j + 18; v = m + 15; g = o + 7; z = v + 3; n = g + 14. If b = 1, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 7 to n, which gives n = o + 21.\n2. Substitute o = s + 10 to n, which gives n = s + 31.\n3. Substitute s = x + 5 to n, which gives n = x + 36.\n4. Substitute x = j + 18 to n, which gives n = j + 54.\n5. Substitute j = b + 9 to n, which gives n = b + 63.\n6. Substitute b = 1 to n, which gives n = 64.\n\nThus, the final answer is n = \\boxed{64}.",
"index": 16505,
"question": "Consider a system of variables where each variable is defined as follows: o = s + 10; s = x + 5; j = b + 9; m = r + 5; q = z + 11; b = 1; r = y + 17; y = b + 6; x = j + 18; v = m + 15; g = o + 7; z = v + 3; n = g + 14. If b = 1, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"o": "a + 7", "b": "o + 8", "i": "b + 14", "q": "i + 17", "j": "q + 10", "s": "j + 10", "k": "a + 16", "r": "k + 3", "t": "r + 14", "d": "t + 2", "x": "d + 14", "e": "x + 5", "a": 10}, "premises": {"a": 10}, "target": "s"}, "answer": {"steps": [["j", "q + 10", "q + 20"], ["q", "i + 17", "i + 37"], ["i", "b + 14", "b + 51"], ["b", "o + 8", "o + 59"], ["o", "a + 7", "a + 66"], ["a", 10, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"a": 10}, "is_reverse": true}} | 16,506 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 14; j = q + 10; k = a + 16; i = b + 14; q = i + 17; s = j + 10; r = k + 3; x = d + 14; o = a + 7; e = x + 5; b = o + 8; a = 10; d = t + 2. If a = 10, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 10 to s, which gives s = q + 20.\n2. Substitute q = i + 17 to s, which gives s = i + 37.\n3. Substitute i = b + 14 to s, which gives s = b + 51.\n4. Substitute b = o + 8 to s, which gives s = o + 59.\n5. Substitute o = a + 7 to s, which gives s = a + 66.\n6. Substitute a = 10 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 16506,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 14; j = q + 10; k = a + 16; i = b + 14; q = i + 17; s = j + 10; r = k + 3; x = d + 14; o = a + 7; e = x + 5; b = o + 8; a = 10; d = t + 2. If a = 10, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 5", "r": "f + 15", "d": "r + 20", "p": "d + 9", "m": "p + 3", "u": "m + 6", "h": "c + 19", "v": "h + 16", "i": "v + 10", "l": "i + 1", "o": "l + 5", "j": "o + 9", "c": 8}, "premises": {"c": 8}, "target": "u"}, "answer": {"steps": [["m", "p + 3", "p + 9"], ["p", "d + 9", "d + 18"], ["d", "r + 20", "r + 38"], ["r", "f + 15", "f + 53"], ["f", "c + 5", "c + 58"], ["c", 8, "66"]], "target_var_name": "u", "target_value": 66, "value_dict": {"c": 8}, "is_reverse": true}} | 16,507 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = f + 15; d = r + 20; h = c + 19; m = p + 3; f = c + 5; u = m + 6; o = l + 5; j = o + 9; v = h + 16; p = d + 9; l = i + 1; c = 8; i = v + 10. Given that c = 8, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 3 to u, which gives u = p + 9.\n2. Substitute p = d + 9 to u, which gives u = d + 18.\n3. Substitute d = r + 20 to u, which gives u = r + 38.\n4. Substitute r = f + 15 to u, which gives u = f + 53.\n5. Substitute f = c + 5 to u, which gives u = c + 58.\n6. Substitute c = 8 to u, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 16507,
"question": "Suppose a collection of variables is related by the following definitions: r = f + 15; d = r + 20; h = c + 19; m = p + 3; f = c + 5; u = m + 6; o = l + 5; j = o + 9; v = h + 16; p = d + 9; l = i + 1; c = 8; i = v + 10. Given that c = 8, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"n": "i + 14", "l": "n + 17", "s": "l + 5", "v": "s + 18", "d": "v + 10", "k": "d + 3", "j": "i + 6", "o": "j + 16", "a": "o + 3", "u": "a + 18", "e": "u + 16", "c": "e + 6", "i": 5}, "premises": {"i": 5}, "target": "k"}, "answer": {"steps": [["d", "v + 10", "v + 13"], ["v", "s + 18", "s + 31"], ["s", "l + 5", "l + 36"], ["l", "n + 17", "n + 53"], ["n", "i + 14", "i + 67"], ["i", 5, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"i": 5}, "is_reverse": true}} | 16,508 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = l + 5; i = 5; u = a + 18; e = u + 16; d = v + 10; o = j + 16; n = i + 14; l = n + 17; c = e + 6; v = s + 18; j = i + 6; k = d + 3; a = o + 3. If i = 5, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 10 to k, which gives k = v + 13.\n2. Substitute v = s + 18 to k, which gives k = s + 31.\n3. Substitute s = l + 5 to k, which gives k = l + 36.\n4. Substitute l = n + 17 to k, which gives k = n + 53.\n5. Substitute n = i + 14 to k, which gives k = i + 67.\n6. Substitute i = 5 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 16508,
"question": "Consider a system of variables where each variable is defined as follows: s = l + 5; i = 5; u = a + 18; e = u + 16; d = v + 10; o = j + 16; n = i + 14; l = n + 17; c = e + 6; v = s + 18; j = i + 6; k = d + 3; a = o + 3. If i = 5, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 13", "e": "s + 19", "a": "e + 12", "g": "a + 6", "l": "g + 1", "f": "l + 2", "t": "m + 12", "r": "t + 6", "u": "r + 20", "q": "u + 1", "k": "q + 18", "i": "k + 20", "m": 8}, "premises": {"m": 8}, "target": "f"}, "answer": {"steps": [["l", "g + 1", "g + 3"], ["g", "a + 6", "a + 9"], ["a", "e + 12", "e + 21"], ["e", "s + 19", "s + 40"], ["s", "m + 13", "m + 53"], ["m", 8, "61"]], "target_var_name": "f", "target_value": 61, "value_dict": {"m": 8}, "is_reverse": true}} | 16,509 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = e + 12; q = u + 1; r = t + 6; f = l + 2; t = m + 12; s = m + 13; g = a + 6; k = q + 18; l = g + 1; m = 8; u = r + 20; e = s + 19; i = k + 20. Given that m = 8, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 1 to f, which gives f = g + 3.\n2. Substitute g = a + 6 to f, which gives f = a + 9.\n3. Substitute a = e + 12 to f, which gives f = e + 21.\n4. Substitute e = s + 19 to f, which gives f = s + 40.\n5. Substitute s = m + 13 to f, which gives f = m + 53.\n6. Substitute m = 8 to f, which gives f = 61.\n\nThus, the final answer is f = \\boxed{61}.",
"index": 16509,
"question": "Suppose a collection of variables is related by the following definitions: a = e + 12; q = u + 1; r = t + 6; f = l + 2; t = m + 12; s = m + 13; g = a + 6; k = q + 18; l = g + 1; m = 8; u = r + 20; e = s + 19; i = k + 20. Given that m = 8, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"a": "w + 20", "n": "a + 20", "q": "n + 13", "u": "q + 2", "e": "u + 9", "d": "e + 10", "j": "w + 17", "r": "j + 11", "z": "r + 16", "t": "z + 8", "g": "t + 13", "i": "g + 11", "w": 9}, "premises": {"w": 9}, "target": "d"}, "answer": {"steps": [["e", "u + 9", "u + 19"], ["u", "q + 2", "q + 21"], ["q", "n + 13", "n + 34"], ["n", "a + 20", "a + 54"], ["a", "w + 20", "w + 74"], ["w", 9, "83"]], "target_var_name": "d", "target_value": 83, "value_dict": {"w": 9}, "is_reverse": true}} | 16,510 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = g + 11; d = e + 10; a = w + 20; r = j + 11; t = z + 8; g = t + 13; u = q + 2; e = u + 9; z = r + 16; q = n + 13; w = 9; j = w + 17; n = a + 20. If w = 9, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 9 to d, which gives d = u + 19.\n2. Substitute u = q + 2 to d, which gives d = q + 21.\n3. Substitute q = n + 13 to d, which gives d = n + 34.\n4. Substitute n = a + 20 to d, which gives d = a + 54.\n5. Substitute a = w + 20 to d, which gives d = w + 74.\n6. Substitute w = 9 to d, which gives d = 83.\n\nThus, the final answer is d = \\boxed{83}.",
"index": 16510,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 11; d = e + 10; a = w + 20; r = j + 11; t = z + 8; g = t + 13; u = q + 2; e = u + 9; z = r + 16; q = n + 13; w = 9; j = w + 17; n = a + 20. If w = 9, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 5", "t": "r + 2", "d": "t + 7", "z": "d + 2", "y": "z + 8", "m": "y + 20", "q": "s + 14", "h": "q + 18", "x": "h + 16", "g": "x + 17", "n": "g + 1", "u": "n + 9", "s": 1}, "premises": {"s": 1}, "target": "m"}, "answer": {"steps": [["y", "z + 8", "z + 28"], ["z", "d + 2", "d + 30"], ["d", "t + 7", "t + 37"], ["t", "r + 2", "r + 39"], ["r", "s + 5", "s + 44"], ["s", 1, "45"]], "target_var_name": "m", "target_value": 45, "value_dict": {"s": 1}, "is_reverse": true}} | 16,511 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = z + 8; x = h + 16; h = q + 18; r = s + 5; m = y + 20; d = t + 7; n = g + 1; u = n + 9; s = 1; g = x + 17; q = s + 14; t = r + 2; z = d + 2. If s = 1, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 8 to m, which gives m = z + 28.\n2. Substitute z = d + 2 to m, which gives m = d + 30.\n3. Substitute d = t + 7 to m, which gives m = t + 37.\n4. Substitute t = r + 2 to m, which gives m = r + 39.\n5. Substitute r = s + 5 to m, which gives m = s + 44.\n6. Substitute s = 1 to m, which gives m = 45.\n\nThus, the final answer is m = \\boxed{45}.",
"index": 16511,
"question": "Consider a system of variables where each variable is defined as follows: y = z + 8; x = h + 16; h = q + 18; r = s + 5; m = y + 20; d = t + 7; n = g + 1; u = n + 9; s = 1; g = x + 17; q = s + 14; t = r + 2; z = d + 2. If s = 1, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 10", "j": "u + 20", "g": "j + 9", "a": "g + 19", "i": "a + 19", "b": "i + 19", "n": "t + 16", "p": "n + 2", "v": "p + 17", "e": "v + 2", "k": "e + 19", "y": "k + 4", "t": 19}, "premises": {"t": 19}, "target": "b"}, "answer": {"steps": [["i", "a + 19", "a + 38"], ["a", "g + 19", "g + 57"], ["g", "j + 9", "j + 66"], ["j", "u + 20", "u + 86"], ["u", "t + 10", "t + 96"], ["t", 19, "115"]], "target_var_name": "b", "target_value": 115, "value_dict": {"t": 19}, "is_reverse": true}} | 16,512 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = t + 16; y = k + 4; k = e + 19; b = i + 19; e = v + 2; u = t + 10; i = a + 19; a = g + 19; p = n + 2; j = u + 20; v = p + 17; t = 19; g = j + 9. Given that t = 19, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 115,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 19 to b, which gives b = a + 38.\n2. Substitute a = g + 19 to b, which gives b = g + 57.\n3. Substitute g = j + 9 to b, which gives b = j + 66.\n4. Substitute j = u + 20 to b, which gives b = u + 86.\n5. Substitute u = t + 10 to b, which gives b = t + 96.\n6. Substitute t = 19 to b, which gives b = 115.\n\nThus, the final answer is b = \\boxed{115}.",
"index": 16512,
"question": "Suppose a collection of variables is related by the following definitions: n = t + 16; y = k + 4; k = e + 19; b = i + 19; e = v + 2; u = t + 10; i = a + 19; a = g + 19; p = n + 2; j = u + 20; v = p + 17; t = 19; g = j + 9. Given that t = 19, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 10", "f": "r + 8", "j": "f + 15", "v": "j + 3", "k": "v + 19", "i": "k + 5", "x": "d + 17", "l": "x + 8", "b": "l + 8", "y": "b + 14", "h": "y + 6", "e": "h + 13", "d": 19}, "premises": {"d": 19}, "target": "i"}, "answer": {"steps": [["k", "v + 19", "v + 24"], ["v", "j + 3", "j + 27"], ["j", "f + 15", "f + 42"], ["f", "r + 8", "r + 50"], ["r", "d + 10", "d + 60"], ["d", 19, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"d": 19}, "is_reverse": true}} | 16,513 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = 19; v = j + 3; r = d + 10; e = h + 13; f = r + 8; x = d + 17; b = l + 8; h = y + 6; l = x + 8; k = v + 19; i = k + 5; y = b + 14; j = f + 15. Given that d = 19, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 19 to i, which gives i = v + 24.\n2. Substitute v = j + 3 to i, which gives i = j + 27.\n3. Substitute j = f + 15 to i, which gives i = f + 42.\n4. Substitute f = r + 8 to i, which gives i = r + 50.\n5. Substitute r = d + 10 to i, which gives i = d + 60.\n6. Substitute d = 19 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 16513,
"question": "Suppose a collection of variables is related by the following definitions: d = 19; v = j + 3; r = d + 10; e = h + 13; f = r + 8; x = d + 17; b = l + 8; h = y + 6; l = x + 8; k = v + 19; i = k + 5; y = b + 14; j = f + 15. Given that d = 19, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 16", "h": "r + 5", "x": "h + 10", "k": "x + 2", "i": "k + 20", "p": "i + 1", "j": "u + 1", "g": "j + 17", "q": "g + 4", "z": "q + 18", "o": "z + 10", "d": "o + 3", "u": 10}, "premises": {"u": 10}, "target": "p"}, "answer": {"steps": [["i", "k + 20", "k + 21"], ["k", "x + 2", "x + 23"], ["x", "h + 10", "h + 33"], ["h", "r + 5", "r + 38"], ["r", "u + 16", "u + 54"], ["u", 10, "64"]], "target_var_name": "p", "target_value": 64, "value_dict": {"u": 10}, "is_reverse": true}} | 16,514 | 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 = k + 20; o = z + 10; h = r + 5; z = q + 18; g = j + 17; d = o + 3; x = h + 10; r = u + 16; p = i + 1; j = u + 1; k = x + 2; u = 10; q = g + 4. If u = 10, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 20 to p, which gives p = k + 21.\n2. Substitute k = x + 2 to p, which gives p = x + 23.\n3. Substitute x = h + 10 to p, which gives p = h + 33.\n4. Substitute h = r + 5 to p, which gives p = r + 38.\n5. Substitute r = u + 16 to p, which gives p = u + 54.\n6. Substitute u = 10 to p, which gives p = 64.\n\nThus, the final answer is p = \\boxed{64}.",
"index": 16514,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 20; o = z + 10; h = r + 5; z = q + 18; g = j + 17; d = o + 3; x = h + 10; r = u + 16; p = i + 1; j = u + 1; k = x + 2; u = 10; q = g + 4. If u = 10, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 15", "f": "g + 5", "u": "f + 17", "l": "u + 19", "t": "l + 5", "y": "t + 3", "a": "q + 17", "e": "a + 9", "j": "e + 8", "r": "j + 11", "b": "r + 2", "k": "b + 13", "q": 8}, "premises": {"q": 8}, "target": "y"}, "answer": {"steps": [["t", "l + 5", "l + 8"], ["l", "u + 19", "u + 27"], ["u", "f + 17", "f + 44"], ["f", "g + 5", "g + 49"], ["g", "q + 15", "q + 64"], ["q", 8, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"q": 8}, "is_reverse": true}} | 16,515 | 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 = 8; u = f + 17; j = e + 8; y = t + 3; r = j + 11; t = l + 5; b = r + 2; a = q + 17; e = a + 9; l = u + 19; f = g + 5; k = b + 13; g = q + 15. If q = 8, what is the resulting 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 t = l + 5 to y, which gives y = l + 8.\n2. Substitute l = u + 19 to y, which gives y = u + 27.\n3. Substitute u = f + 17 to y, which gives y = f + 44.\n4. Substitute f = g + 5 to y, which gives y = g + 49.\n5. Substitute g = q + 15 to y, which gives y = q + 64.\n6. Substitute q = 8 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 16515,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 8; u = f + 17; j = e + 8; y = t + 3; r = j + 11; t = l + 5; b = r + 2; a = q + 17; e = a + 9; l = u + 19; f = g + 5; k = b + 13; g = q + 15. If q = 8, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"i": "t + 6", "a": "i + 15", "v": "a + 9", "w": "v + 18", "b": "w + 4", "x": "b + 12", "z": "t + 5", "n": "z + 15", "p": "n + 6", "l": "p + 11", "y": "l + 5", "j": "y + 11", "t": 13}, "premises": {"t": 13}, "target": "x"}, "answer": {"steps": [["b", "w + 4", "w + 16"], ["w", "v + 18", "v + 34"], ["v", "a + 9", "a + 43"], ["a", "i + 15", "i + 58"], ["i", "t + 6", "t + 64"], ["t", 13, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"t": 13}, "is_reverse": true}} | 16,516 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = 13; y = l + 5; a = i + 15; z = t + 5; i = t + 6; v = a + 9; p = n + 6; x = b + 12; b = w + 4; j = y + 11; w = v + 18; n = z + 15; l = p + 11. Given that t = 13, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 4 to x, which gives x = w + 16.\n2. Substitute w = v + 18 to x, which gives x = v + 34.\n3. Substitute v = a + 9 to x, which gives x = a + 43.\n4. Substitute a = i + 15 to x, which gives x = i + 58.\n5. Substitute i = t + 6 to x, which gives x = t + 64.\n6. Substitute t = 13 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 16516,
"question": "Suppose a collection of variables is related by the following definitions: t = 13; y = l + 5; a = i + 15; z = t + 5; i = t + 6; v = a + 9; p = n + 6; x = b + 12; b = w + 4; j = y + 11; w = v + 18; n = z + 15; l = p + 11. Given that t = 13, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 20", "w": "s + 11", "d": "w + 18", "g": "d + 17", "z": "g + 2", "a": "z + 19", "o": "x + 16", "n": "o + 6", "j": "n + 18", "m": "j + 18", "h": "m + 16", "q": "h + 4", "x": 17}, "premises": {"x": 17}, "target": "a"}, "answer": {"steps": [["z", "g + 2", "g + 21"], ["g", "d + 17", "d + 38"], ["d", "w + 18", "w + 56"], ["w", "s + 11", "s + 67"], ["s", "x + 20", "x + 87"], ["x", 17, "104"]], "target_var_name": "a", "target_value": 104, "value_dict": {"x": 17}, "is_reverse": true}} | 16,517 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 18; o = x + 16; g = d + 17; h = m + 16; z = g + 2; s = x + 20; m = j + 18; w = s + 11; d = w + 18; n = o + 6; q = h + 4; a = z + 19; x = 17. If x = 17, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 2 to a, which gives a = g + 21.\n2. Substitute g = d + 17 to a, which gives a = d + 38.\n3. Substitute d = w + 18 to a, which gives a = w + 56.\n4. Substitute w = s + 11 to a, which gives a = s + 67.\n5. Substitute s = x + 20 to a, which gives a = x + 87.\n6. Substitute x = 17 to a, which gives a = 104.\n\nThus, the final answer is a = \\boxed{104}.",
"index": 16517,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 18; o = x + 16; g = d + 17; h = m + 16; z = g + 2; s = x + 20; m = j + 18; w = s + 11; d = w + 18; n = o + 6; q = h + 4; a = z + 19; x = 17. If x = 17, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 3", "s": "j + 4", "i": "s + 3", "v": "i + 14", "e": "v + 6", "b": "e + 7", "z": "o + 16", "k": "z + 3", "d": "k + 1", "h": "d + 2", "y": "h + 6", "l": "y + 7", "o": 16}, "premises": {"o": 16}, "target": "b"}, "answer": {"steps": [["e", "v + 6", "v + 13"], ["v", "i + 14", "i + 27"], ["i", "s + 3", "s + 30"], ["s", "j + 4", "j + 34"], ["j", "o + 3", "o + 37"], ["o", 16, "53"]], "target_var_name": "b", "target_value": 53, "value_dict": {"o": 16}, "is_reverse": true}} | 16,518 | 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 = v + 6; j = o + 3; d = k + 1; k = z + 3; b = e + 7; l = y + 7; h = d + 2; i = s + 3; z = o + 16; o = 16; s = j + 4; v = i + 14; y = h + 6. If o = 16, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 6 to b, which gives b = v + 13.\n2. Substitute v = i + 14 to b, which gives b = i + 27.\n3. Substitute i = s + 3 to b, which gives b = s + 30.\n4. Substitute s = j + 4 to b, which gives b = j + 34.\n5. Substitute j = o + 3 to b, which gives b = o + 37.\n6. Substitute o = 16 to b, which gives b = 53.\n\nThus, the final answer is b = \\boxed{53}.",
"index": 16518,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 6; j = o + 3; d = k + 1; k = z + 3; b = e + 7; l = y + 7; h = d + 2; i = s + 3; z = o + 16; o = 16; s = j + 4; v = i + 14; y = h + 6. If o = 16, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 20", "x": "g + 16", "h": "x + 3", "d": "h + 14", "z": "d + 2", "s": "z + 10", "f": "v + 6", "y": "f + 9", "b": "y + 4", "o": "b + 20", "m": "o + 5", "r": "m + 20", "v": 15}, "premises": {"v": 15}, "target": "s"}, "answer": {"steps": [["z", "d + 2", "d + 12"], ["d", "h + 14", "h + 26"], ["h", "x + 3", "x + 29"], ["x", "g + 16", "g + 45"], ["g", "v + 20", "v + 65"], ["v", 15, "80"]], "target_var_name": "s", "target_value": 80, "value_dict": {"v": 15}, "is_reverse": true}} | 16,519 | 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 = f + 9; z = d + 2; v = 15; o = b + 20; r = m + 20; h = x + 3; g = v + 20; m = o + 5; b = y + 4; s = z + 10; f = v + 6; d = h + 14; x = g + 16. If v = 15, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 2 to s, which gives s = d + 12.\n2. Substitute d = h + 14 to s, which gives s = h + 26.\n3. Substitute h = x + 3 to s, which gives s = x + 29.\n4. Substitute x = g + 16 to s, which gives s = g + 45.\n5. Substitute g = v + 20 to s, which gives s = v + 65.\n6. Substitute v = 15 to s, which gives s = 80.\n\nThus, the final answer is s = \\boxed{80}.",
"index": 16519,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = f + 9; z = d + 2; v = 15; o = b + 20; r = m + 20; h = x + 3; g = v + 20; m = o + 5; b = y + 4; s = z + 10; f = v + 6; d = h + 14; x = g + 16. If v = 15, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 5", "p": "i + 11", "e": "p + 8", "k": "e + 14", "l": "k + 3", "u": "l + 14", "o": "x + 1", "d": "o + 3", "g": "d + 1", "m": "g + 10", "s": "m + 17", "h": "s + 15", "x": 6}, "premises": {"x": 6}, "target": "u"}, "answer": {"steps": [["l", "k + 3", "k + 17"], ["k", "e + 14", "e + 31"], ["e", "p + 8", "p + 39"], ["p", "i + 11", "i + 50"], ["i", "x + 5", "x + 55"], ["x", 6, "61"]], "target_var_name": "u", "target_value": 61, "value_dict": {"x": 6}, "is_reverse": true}} | 16,520 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = m + 17; u = l + 14; k = e + 14; p = i + 11; x = 6; d = o + 3; g = d + 1; h = s + 15; e = p + 8; o = x + 1; i = x + 5; m = g + 10; l = k + 3. If x = 6, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 3 to u, which gives u = k + 17.\n2. Substitute k = e + 14 to u, which gives u = e + 31.\n3. Substitute e = p + 8 to u, which gives u = p + 39.\n4. Substitute p = i + 11 to u, which gives u = i + 50.\n5. Substitute i = x + 5 to u, which gives u = x + 55.\n6. Substitute x = 6 to u, which gives u = 61.\n\nThus, the final answer is u = \\boxed{61}.",
"index": 16520,
"question": "Consider a system of variables where each variable is defined as follows: s = m + 17; u = l + 14; k = e + 14; p = i + 11; x = 6; d = o + 3; g = d + 1; h = s + 15; e = p + 8; o = x + 1; i = x + 5; m = g + 10; l = k + 3. If x = 6, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 11", "a": "t + 16", "p": "a + 6", "e": "p + 19", "b": "e + 17", "l": "b + 18", "u": "x + 15", "r": "u + 4", "g": "r + 13", "c": "g + 6", "m": "c + 15", "s": "m + 16", "x": 9}, "premises": {"x": 9}, "target": "l"}, "answer": {"steps": [["b", "e + 17", "e + 35"], ["e", "p + 19", "p + 54"], ["p", "a + 6", "a + 60"], ["a", "t + 16", "t + 76"], ["t", "x + 11", "x + 87"], ["x", 9, "96"]], "target_var_name": "l", "target_value": 96, "value_dict": {"x": 9}, "is_reverse": true}} | 16,521 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = u + 4; c = g + 6; p = a + 6; t = x + 11; x = 9; u = x + 15; s = m + 16; l = b + 18; b = e + 17; a = t + 16; e = p + 19; g = r + 13; m = c + 15. Given that x = 9, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 17 to l, which gives l = e + 35.\n2. Substitute e = p + 19 to l, which gives l = p + 54.\n3. Substitute p = a + 6 to l, which gives l = a + 60.\n4. Substitute a = t + 16 to l, which gives l = t + 76.\n5. Substitute t = x + 11 to l, which gives l = x + 87.\n6. Substitute x = 9 to l, which gives l = 96.\n\nThus, the final answer is l = \\boxed{96}.",
"index": 16521,
"question": "Suppose a collection of variables is related by the following definitions: r = u + 4; c = g + 6; p = a + 6; t = x + 11; x = 9; u = x + 15; s = m + 16; l = b + 18; b = e + 17; a = t + 16; e = p + 19; g = r + 13; m = c + 15. Given that x = 9, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"t": "b + 8", "g": "t + 20", "e": "g + 6", "v": "e + 9", "c": "v + 12", "m": "c + 13", "p": "b + 10", "u": "p + 13", "s": "u + 5", "q": "s + 9", "f": "q + 14", "i": "f + 19", "b": 14}, "premises": {"b": 14}, "target": "m"}, "answer": {"steps": [["c", "v + 12", "v + 25"], ["v", "e + 9", "e + 34"], ["e", "g + 6", "g + 40"], ["g", "t + 20", "t + 60"], ["t", "b + 8", "b + 68"], ["b", 14, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"b": 14}, "is_reverse": true}} | 16,522 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = b + 8; f = q + 14; i = f + 19; g = t + 20; m = c + 13; c = v + 12; q = s + 9; p = b + 10; b = 14; v = e + 9; u = p + 13; s = u + 5; e = g + 6. Given that b = 14, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 12 to m, which gives m = v + 25.\n2. Substitute v = e + 9 to m, which gives m = e + 34.\n3. Substitute e = g + 6 to m, which gives m = g + 40.\n4. Substitute g = t + 20 to m, which gives m = t + 60.\n5. Substitute t = b + 8 to m, which gives m = b + 68.\n6. Substitute b = 14 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 16522,
"question": "Suppose a collection of variables is related by the following definitions: t = b + 8; f = q + 14; i = f + 19; g = t + 20; m = c + 13; c = v + 12; q = s + 9; p = b + 10; b = 14; v = e + 9; u = p + 13; s = u + 5; e = g + 6. Given that b = 14, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"d": "k + 5", "e": "d + 17", "v": "e + 17", "a": "v + 1", "r": "a + 6", "t": "r + 14", "h": "k + 9", "w": "h + 1", "z": "w + 4", "x": "z + 20", "y": "x + 4", "i": "y + 10", "k": 2}, "premises": {"k": 2}, "target": "t"}, "answer": {"steps": [["r", "a + 6", "a + 20"], ["a", "v + 1", "v + 21"], ["v", "e + 17", "e + 38"], ["e", "d + 17", "d + 55"], ["d", "k + 5", "k + 60"], ["k", 2, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"k": 2}, "is_reverse": true}} | 16,523 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = x + 4; k = 2; i = y + 10; z = w + 4; w = h + 1; r = a + 6; a = v + 1; t = r + 14; d = k + 5; v = e + 17; x = z + 20; e = d + 17; h = k + 9. Given that k = 2, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 6 to t, which gives t = a + 20.\n2. Substitute a = v + 1 to t, which gives t = v + 21.\n3. Substitute v = e + 17 to t, which gives t = e + 38.\n4. Substitute e = d + 17 to t, which gives t = d + 55.\n5. Substitute d = k + 5 to t, which gives t = k + 60.\n6. Substitute k = 2 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 16523,
"question": "Suppose a collection of variables is related by the following definitions: y = x + 4; k = 2; i = y + 10; z = w + 4; w = h + 1; r = a + 6; a = v + 1; t = r + 14; d = k + 5; v = e + 17; x = z + 20; e = d + 17; h = k + 9. Given that k = 2, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 18", "f": "h + 15", "s": "f + 9", "l": "s + 20", "z": "l + 8", "d": "z + 12", "c": "j + 6", "t": "c + 19", "y": "t + 20", "a": "y + 8", "e": "a + 4", "m": "e + 8", "j": 11}, "premises": {"j": 11}, "target": "d"}, "answer": {"steps": [["z", "l + 8", "l + 20"], ["l", "s + 20", "s + 40"], ["s", "f + 9", "f + 49"], ["f", "h + 15", "h + 64"], ["h", "j + 18", "j + 82"], ["j", 11, "93"]], "target_var_name": "d", "target_value": 93, "value_dict": {"j": 11}, "is_reverse": true}} | 16,524 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = h + 15; s = f + 9; e = a + 4; t = c + 19; m = e + 8; z = l + 8; d = z + 12; h = j + 18; l = s + 20; c = j + 6; a = y + 8; y = t + 20; j = 11. Given that j = 11, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 8 to d, which gives d = l + 20.\n2. Substitute l = s + 20 to d, which gives d = s + 40.\n3. Substitute s = f + 9 to d, which gives d = f + 49.\n4. Substitute f = h + 15 to d, which gives d = h + 64.\n5. Substitute h = j + 18 to d, which gives d = j + 82.\n6. Substitute j = 11 to d, which gives d = 93.\n\nThus, the final answer is d = \\boxed{93}.",
"index": 16524,
"question": "Suppose a collection of variables is related by the following definitions: f = h + 15; s = f + 9; e = a + 4; t = c + 19; m = e + 8; z = l + 8; d = z + 12; h = j + 18; l = s + 20; c = j + 6; a = y + 8; y = t + 20; j = 11. Given that j = 11, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 12", "f": "w + 1", "a": "f + 8", "u": "a + 2", "h": "u + 17", "s": "h + 17", "v": "p + 15", "b": "v + 9", "k": "b + 13", "z": "k + 18", "o": "z + 20", "y": "o + 12", "p": 8}, "premises": {"p": 8}, "target": "s"}, "answer": {"steps": [["h", "u + 17", "u + 34"], ["u", "a + 2", "a + 36"], ["a", "f + 8", "f + 44"], ["f", "w + 1", "w + 45"], ["w", "p + 12", "p + 57"], ["p", 8, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"p": 8}, "is_reverse": true}} | 16,525 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = b + 13; y = o + 12; z = k + 18; f = w + 1; h = u + 17; w = p + 12; o = z + 20; u = a + 2; s = h + 17; b = v + 9; v = p + 15; a = f + 8; p = 8. If p = 8, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 17 to s, which gives s = u + 34.\n2. Substitute u = a + 2 to s, which gives s = a + 36.\n3. Substitute a = f + 8 to s, which gives s = f + 44.\n4. Substitute f = w + 1 to s, which gives s = w + 45.\n5. Substitute w = p + 12 to s, which gives s = p + 57.\n6. Substitute p = 8 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 16525,
"question": "Consider a system of variables where each variable is defined as follows: k = b + 13; y = o + 12; z = k + 18; f = w + 1; h = u + 17; w = p + 12; o = z + 20; u = a + 2; s = h + 17; b = v + 9; v = p + 15; a = f + 8; p = 8. If p = 8, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 5", "w": "m + 12", "n": "w + 4", "f": "n + 15", "r": "f + 2", "j": "r + 10", "z": "g + 12", "o": "z + 11", "y": "o + 5", "k": "y + 15", "e": "k + 14", "b": "e + 10", "g": 3}, "premises": {"g": 3}, "target": "j"}, "answer": {"steps": [["r", "f + 2", "f + 12"], ["f", "n + 15", "n + 27"], ["n", "w + 4", "w + 31"], ["w", "m + 12", "m + 43"], ["m", "g + 5", "g + 48"], ["g", 3, "51"]], "target_var_name": "j", "target_value": 51, "value_dict": {"g": 3}, "is_reverse": true}} | 16,526 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = w + 4; e = k + 14; w = m + 12; g = 3; f = n + 15; z = g + 12; m = g + 5; b = e + 10; k = y + 15; r = f + 2; y = o + 5; j = r + 10; o = z + 11. Given that g = 3, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 2 to j, which gives j = f + 12.\n2. Substitute f = n + 15 to j, which gives j = n + 27.\n3. Substitute n = w + 4 to j, which gives j = w + 31.\n4. Substitute w = m + 12 to j, which gives j = m + 43.\n5. Substitute m = g + 5 to j, which gives j = g + 48.\n6. Substitute g = 3 to j, which gives j = 51.\n\nThus, the final answer is j = \\boxed{51}.",
"index": 16526,
"question": "Suppose a collection of variables is related by the following definitions: n = w + 4; e = k + 14; w = m + 12; g = 3; f = n + 15; z = g + 12; m = g + 5; b = e + 10; k = y + 15; r = f + 2; y = o + 5; j = r + 10; o = z + 11. Given that g = 3, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 8", "n": "l + 17", "b": "n + 4", "s": "b + 9", "a": "s + 6", "c": "a + 2", "p": "u + 12", "h": "p + 16", "i": "h + 15", "r": "i + 7", "t": "r + 10", "x": "t + 1", "u": 7}, "premises": {"u": 7}, "target": "c"}, "answer": {"steps": [["a", "s + 6", "s + 8"], ["s", "b + 9", "b + 17"], ["b", "n + 4", "n + 21"], ["n", "l + 17", "l + 38"], ["l", "u + 8", "u + 46"], ["u", 7, "53"]], "target_var_name": "c", "target_value": 53, "value_dict": {"u": 7}, "is_reverse": true}} | 16,527 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = p + 16; p = u + 12; b = n + 4; c = a + 2; s = b + 9; l = u + 8; a = s + 6; n = l + 17; i = h + 15; r = i + 7; t = r + 10; u = 7; x = t + 1. If u = 7, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 6 to c, which gives c = s + 8.\n2. Substitute s = b + 9 to c, which gives c = b + 17.\n3. Substitute b = n + 4 to c, which gives c = n + 21.\n4. Substitute n = l + 17 to c, which gives c = l + 38.\n5. Substitute l = u + 8 to c, which gives c = u + 46.\n6. Substitute u = 7 to c, which gives c = 53.\n\nThus, the final answer is c = \\boxed{53}.",
"index": 16527,
"question": "Consider a system of variables where each variable is defined as follows: h = p + 16; p = u + 12; b = n + 4; c = a + 2; s = b + 9; l = u + 8; a = s + 6; n = l + 17; i = h + 15; r = i + 7; t = r + 10; u = 7; x = t + 1. If u = 7, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 4", "v": "u + 19", "y": "v + 13", "n": "y + 15", "m": "n + 20", "q": "m + 16", "k": "i + 6", "g": "k + 11", "p": "g + 16", "d": "p + 2", "s": "d + 16", "j": "s + 18", "i": 2}, "premises": {"i": 2}, "target": "q"}, "answer": {"steps": [["m", "n + 20", "n + 36"], ["n", "y + 15", "y + 51"], ["y", "v + 13", "v + 64"], ["v", "u + 19", "u + 83"], ["u", "i + 4", "i + 87"], ["i", 2, "89"]], "target_var_name": "q", "target_value": 89, "value_dict": {"i": 2}, "is_reverse": true}} | 16,528 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 2; m = n + 20; g = k + 11; p = g + 16; y = v + 13; j = s + 18; s = d + 16; k = i + 6; d = p + 2; q = m + 16; n = y + 15; v = u + 19; u = i + 4. If i = 2, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 20 to q, which gives q = n + 36.\n2. Substitute n = y + 15 to q, which gives q = y + 51.\n3. Substitute y = v + 13 to q, which gives q = v + 64.\n4. Substitute v = u + 19 to q, which gives q = u + 83.\n5. Substitute u = i + 4 to q, which gives q = i + 87.\n6. Substitute i = 2 to q, which gives q = 89.\n\nThus, the final answer is q = \\boxed{89}.",
"index": 16528,
"question": "Consider a system of variables where each variable is defined as follows: i = 2; m = n + 20; g = k + 11; p = g + 16; y = v + 13; j = s + 18; s = d + 16; k = i + 6; d = p + 2; q = m + 16; n = y + 15; v = u + 19; u = i + 4. If i = 2, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 12", "v": "k + 14", "b": "v + 5", "t": "b + 5", "z": "t + 3", "u": "z + 12", "m": "g + 9", "c": "m + 5", "j": "c + 6", "o": "j + 1", "w": "o + 7", "a": "w + 11", "g": 9}, "premises": {"g": 9}, "target": "u"}, "answer": {"steps": [["z", "t + 3", "t + 15"], ["t", "b + 5", "b + 20"], ["b", "v + 5", "v + 25"], ["v", "k + 14", "k + 39"], ["k", "g + 12", "g + 51"], ["g", 9, "60"]], "target_var_name": "u", "target_value": 60, "value_dict": {"g": 9}, "is_reverse": true}} | 16,529 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = b + 5; g = 9; m = g + 9; c = m + 5; o = j + 1; v = k + 14; w = o + 7; a = w + 11; j = c + 6; b = v + 5; u = z + 12; z = t + 3; k = g + 12. Given that g = 9, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 3 to u, which gives u = t + 15.\n2. Substitute t = b + 5 to u, which gives u = b + 20.\n3. Substitute b = v + 5 to u, which gives u = v + 25.\n4. Substitute v = k + 14 to u, which gives u = k + 39.\n5. Substitute k = g + 12 to u, which gives u = g + 51.\n6. Substitute g = 9 to u, which gives u = 60.\n\nThus, the final answer is u = \\boxed{60}.",
"index": 16529,
"question": "Suppose a collection of variables is related by the following definitions: t = b + 5; g = 9; m = g + 9; c = m + 5; o = j + 1; v = k + 14; w = o + 7; a = w + 11; j = c + 6; b = v + 5; u = z + 12; z = t + 3; k = g + 12. Given that g = 9, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 19", "m": "d + 14", "u": "m + 14", "r": "u + 17", "i": "r + 5", "h": "i + 3", "w": "s + 14", "a": "w + 6", "j": "a + 2", "q": "j + 20", "t": "q + 19", "c": "t + 17", "s": 16}, "premises": {"s": 16}, "target": "h"}, "answer": {"steps": [["i", "r + 5", "r + 8"], ["r", "u + 17", "u + 25"], ["u", "m + 14", "m + 39"], ["m", "d + 14", "d + 53"], ["d", "s + 19", "s + 72"], ["s", 16, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"s": 16}, "is_reverse": true}} | 16,530 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = q + 19; d = s + 19; r = u + 17; h = i + 3; a = w + 6; j = a + 2; q = j + 20; s = 16; i = r + 5; w = s + 14; m = d + 14; u = m + 14; c = t + 17. Given that s = 16, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 5 to h, which gives h = r + 8.\n2. Substitute r = u + 17 to h, which gives h = u + 25.\n3. Substitute u = m + 14 to h, which gives h = m + 39.\n4. Substitute m = d + 14 to h, which gives h = d + 53.\n5. Substitute d = s + 19 to h, which gives h = s + 72.\n6. Substitute s = 16 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 16530,
"question": "Suppose a collection of variables is related by the following definitions: t = q + 19; d = s + 19; r = u + 17; h = i + 3; a = w + 6; j = a + 2; q = j + 20; s = 16; i = r + 5; w = s + 14; m = d + 14; u = m + 14; c = t + 17. Given that s = 16, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 8", "y": "x + 12", "g": "y + 6", "n": "g + 7", "c": "n + 11", "q": "c + 8", "r": "p + 16", "b": "r + 15", "w": "b + 9", "j": "w + 17", "s": "j + 12", "a": "s + 8", "p": 3}, "premises": {"p": 3}, "target": "q"}, "answer": {"steps": [["c", "n + 11", "n + 19"], ["n", "g + 7", "g + 26"], ["g", "y + 6", "y + 32"], ["y", "x + 12", "x + 44"], ["x", "p + 8", "p + 52"], ["p", 3, "55"]], "target_var_name": "q", "target_value": 55, "value_dict": {"p": 3}, "is_reverse": true}} | 16,531 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = y + 6; b = r + 15; c = n + 11; s = j + 12; y = x + 12; w = b + 9; x = p + 8; r = p + 16; j = w + 17; n = g + 7; a = s + 8; q = c + 8; p = 3. Given that p = 3, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 11 to q, which gives q = n + 19.\n2. Substitute n = g + 7 to q, which gives q = g + 26.\n3. Substitute g = y + 6 to q, which gives q = y + 32.\n4. Substitute y = x + 12 to q, which gives q = x + 44.\n5. Substitute x = p + 8 to q, which gives q = p + 52.\n6. Substitute p = 3 to q, which gives q = 55.\n\nThus, the final answer is q = \\boxed{55}.",
"index": 16531,
"question": "Suppose a collection of variables is related by the following definitions: g = y + 6; b = r + 15; c = n + 11; s = j + 12; y = x + 12; w = b + 9; x = p + 8; r = p + 16; j = w + 17; n = g + 7; a = s + 8; q = c + 8; p = 3. Given that p = 3, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 5", "h": "c + 5", "j": "h + 15", "r": "j + 1", "q": "r + 12", "b": "q + 20", "z": "p + 3", "m": "z + 1", "t": "m + 12", "x": "t + 10", "l": "x + 10", "g": "l + 12", "p": 12}, "premises": {"p": 12}, "target": "b"}, "answer": {"steps": [["q", "r + 12", "r + 32"], ["r", "j + 1", "j + 33"], ["j", "h + 15", "h + 48"], ["h", "c + 5", "c + 53"], ["c", "p + 5", "p + 58"], ["p", 12, "70"]], "target_var_name": "b", "target_value": 70, "value_dict": {"p": 12}, "is_reverse": true}} | 16,532 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = z + 1; p = 12; z = p + 3; h = c + 5; c = p + 5; j = h + 15; b = q + 20; x = t + 10; t = m + 12; l = x + 10; q = r + 12; r = j + 1; g = l + 12. If p = 12, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 12 to b, which gives b = r + 32.\n2. Substitute r = j + 1 to b, which gives b = j + 33.\n3. Substitute j = h + 15 to b, which gives b = h + 48.\n4. Substitute h = c + 5 to b, which gives b = c + 53.\n5. Substitute c = p + 5 to b, which gives b = p + 58.\n6. Substitute p = 12 to b, which gives b = 70.\n\nThus, the final answer is b = \\boxed{70}.",
"index": 16532,
"question": "Consider a system of variables where each variable is defined as follows: m = z + 1; p = 12; z = p + 3; h = c + 5; c = p + 5; j = h + 15; b = q + 20; x = t + 10; t = m + 12; l = x + 10; q = r + 12; r = j + 1; g = l + 12. If p = 12, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"p": "q + 16", "m": "p + 20", "y": "m + 10", "r": "y + 6", "h": "r + 13", "z": "h + 10", "l": "q + 3", "s": "l + 11", "k": "s + 12", "b": "k + 10", "e": "b + 13", "j": "e + 9", "q": 17}, "premises": {"q": 17}, "target": "z"}, "answer": {"steps": [["h", "r + 13", "r + 23"], ["r", "y + 6", "y + 29"], ["y", "m + 10", "m + 39"], ["m", "p + 20", "p + 59"], ["p", "q + 16", "q + 75"], ["q", 17, "92"]], "target_var_name": "z", "target_value": 92, "value_dict": {"q": 17}, "is_reverse": true}} | 16,533 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = s + 12; l = q + 3; y = m + 10; h = r + 13; q = 17; s = l + 11; e = b + 13; z = h + 10; m = p + 20; b = k + 10; p = q + 16; j = e + 9; r = y + 6. Given that q = 17, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 13 to z, which gives z = r + 23.\n2. Substitute r = y + 6 to z, which gives z = y + 29.\n3. Substitute y = m + 10 to z, which gives z = m + 39.\n4. Substitute m = p + 20 to z, which gives z = p + 59.\n5. Substitute p = q + 16 to z, which gives z = q + 75.\n6. Substitute q = 17 to z, which gives z = 92.\n\nThus, the final answer is z = \\boxed{92}.",
"index": 16533,
"question": "Suppose a collection of variables is related by the following definitions: k = s + 12; l = q + 3; y = m + 10; h = r + 13; q = 17; s = l + 11; e = b + 13; z = h + 10; m = p + 20; b = k + 10; p = q + 16; j = e + 9; r = y + 6. Given that q = 17, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"j": "u + 7", "d": "j + 19", "w": "d + 15", "m": "w + 3", "e": "m + 10", "s": "e + 14", "p": "u + 5", "x": "p + 16", "z": "x + 17", "q": "z + 9", "o": "q + 18", "g": "o + 14", "u": 11}, "premises": {"u": 11}, "target": "s"}, "answer": {"steps": [["e", "m + 10", "m + 24"], ["m", "w + 3", "w + 27"], ["w", "d + 15", "d + 42"], ["d", "j + 19", "j + 61"], ["j", "u + 7", "u + 68"], ["u", 11, "79"]], "target_var_name": "s", "target_value": 79, "value_dict": {"u": 11}, "is_reverse": true}} | 16,534 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = j + 19; s = e + 14; o = q + 18; g = o + 14; e = m + 10; p = u + 5; m = w + 3; x = p + 16; u = 11; j = u + 7; z = x + 17; w = d + 15; q = z + 9. If u = 11, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 10 to s, which gives s = m + 24.\n2. Substitute m = w + 3 to s, which gives s = w + 27.\n3. Substitute w = d + 15 to s, which gives s = d + 42.\n4. Substitute d = j + 19 to s, which gives s = j + 61.\n5. Substitute j = u + 7 to s, which gives s = u + 68.\n6. Substitute u = 11 to s, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 16534,
"question": "Consider a system of variables where each variable is defined as follows: d = j + 19; s = e + 14; o = q + 18; g = o + 14; e = m + 10; p = u + 5; m = w + 3; x = p + 16; u = 11; j = u + 7; z = x + 17; w = d + 15; q = z + 9. If u = 11, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 16", "i": "e + 9", "a": "i + 17", "s": "a + 1", "d": "s + 12", "u": "d + 6", "q": "b + 6", "z": "q + 13", "k": "z + 13", "h": "k + 8", "t": "h + 4", "v": "t + 7", "b": 16}, "premises": {"b": 16}, "target": "u"}, "answer": {"steps": [["d", "s + 12", "s + 18"], ["s", "a + 1", "a + 19"], ["a", "i + 17", "i + 36"], ["i", "e + 9", "e + 45"], ["e", "b + 16", "b + 61"], ["b", 16, "77"]], "target_var_name": "u", "target_value": 77, "value_dict": {"b": 16}, "is_reverse": true}} | 16,535 | 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 = s + 12; t = h + 4; u = d + 6; h = k + 8; k = z + 13; q = b + 6; e = b + 16; v = t + 7; a = i + 17; s = a + 1; z = q + 13; i = e + 9; b = 16. If b = 16, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 12 to u, which gives u = s + 18.\n2. Substitute s = a + 1 to u, which gives u = a + 19.\n3. Substitute a = i + 17 to u, which gives u = i + 36.\n4. Substitute i = e + 9 to u, which gives u = e + 45.\n5. Substitute e = b + 16 to u, which gives u = b + 61.\n6. Substitute b = 16 to u, which gives u = 77.\n\nThus, the final answer is u = \\boxed{77}.",
"index": 16535,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = s + 12; t = h + 4; u = d + 6; h = k + 8; k = z + 13; q = b + 6; e = b + 16; v = t + 7; a = i + 17; s = a + 1; z = q + 13; i = e + 9; b = 16. If b = 16, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 16", "q": "b + 10", "g": "q + 3", "x": "g + 7", "h": "x + 4", "u": "h + 11", "m": "o + 14", "s": "m + 12", "v": "s + 16", "c": "v + 19", "p": "c + 10", "n": "p + 13", "o": 4}, "premises": {"o": 4}, "target": "u"}, "answer": {"steps": [["h", "x + 4", "x + 15"], ["x", "g + 7", "g + 22"], ["g", "q + 3", "q + 25"], ["q", "b + 10", "b + 35"], ["b", "o + 16", "o + 51"], ["o", 4, "55"]], "target_var_name": "u", "target_value": 55, "value_dict": {"o": 4}, "is_reverse": true}} | 16,536 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = b + 10; c = v + 19; n = p + 13; u = h + 11; x = g + 7; o = 4; p = c + 10; b = o + 16; m = o + 14; h = x + 4; v = s + 16; g = q + 3; s = m + 12. Given that o = 4, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 4 to u, which gives u = x + 15.\n2. Substitute x = g + 7 to u, which gives u = g + 22.\n3. Substitute g = q + 3 to u, which gives u = q + 25.\n4. Substitute q = b + 10 to u, which gives u = b + 35.\n5. Substitute b = o + 16 to u, which gives u = o + 51.\n6. Substitute o = 4 to u, which gives u = 55.\n\nThus, the final answer is u = \\boxed{55}.",
"index": 16536,
"question": "Suppose a collection of variables is related by the following definitions: q = b + 10; c = v + 19; n = p + 13; u = h + 11; x = g + 7; o = 4; p = c + 10; b = o + 16; m = o + 14; h = x + 4; v = s + 16; g = q + 3; s = m + 12. Given that o = 4, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"b": "i + 11", "g": "b + 18", "f": "g + 14", "e": "f + 11", "n": "e + 5", "l": "n + 19", "t": "i + 16", "w": "t + 19", "o": "w + 13", "d": "o + 19", "v": "d + 11", "h": "v + 14", "i": 20}, "premises": {"i": 20}, "target": "l"}, "answer": {"steps": [["n", "e + 5", "e + 24"], ["e", "f + 11", "f + 35"], ["f", "g + 14", "g + 49"], ["g", "b + 18", "b + 67"], ["b", "i + 11", "i + 78"], ["i", 20, "98"]], "target_var_name": "l", "target_value": 98, "value_dict": {"i": 20}, "is_reverse": true}} | 16,537 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = i + 16; i = 20; l = n + 19; b = i + 11; e = f + 11; n = e + 5; g = b + 18; v = d + 11; d = o + 19; h = v + 14; o = w + 13; w = t + 19; f = g + 14. If i = 20, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 5 to l, which gives l = e + 24.\n2. Substitute e = f + 11 to l, which gives l = f + 35.\n3. Substitute f = g + 14 to l, which gives l = g + 49.\n4. Substitute g = b + 18 to l, which gives l = b + 67.\n5. Substitute b = i + 11 to l, which gives l = i + 78.\n6. Substitute i = 20 to l, which gives l = 98.\n\nThus, the final answer is l = \\boxed{98}.",
"index": 16537,
"question": "Consider a system of variables where each variable is defined as follows: t = i + 16; i = 20; l = n + 19; b = i + 11; e = f + 11; n = e + 5; g = b + 18; v = d + 11; d = o + 19; h = v + 14; o = w + 13; w = t + 19; f = g + 14. If i = 20, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"l": "r + 5", "c": "l + 11", "h": "c + 5", "g": "h + 12", "u": "g + 12", "t": "u + 2", "k": "r + 7", "z": "k + 20", "x": "z + 2", "v": "x + 4", "a": "v + 18", "i": "a + 7", "r": 1}, "premises": {"r": 1}, "target": "t"}, "answer": {"steps": [["u", "g + 12", "g + 14"], ["g", "h + 12", "h + 26"], ["h", "c + 5", "c + 31"], ["c", "l + 11", "l + 42"], ["l", "r + 5", "r + 47"], ["r", 1, "48"]], "target_var_name": "t", "target_value": 48, "value_dict": {"r": 1}, "is_reverse": true}} | 16,538 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = l + 11; t = u + 2; l = r + 5; h = c + 5; g = h + 12; a = v + 18; z = k + 20; x = z + 2; r = 1; i = a + 7; u = g + 12; k = r + 7; v = x + 4. Given that r = 1, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 12 to t, which gives t = g + 14.\n2. Substitute g = h + 12 to t, which gives t = h + 26.\n3. Substitute h = c + 5 to t, which gives t = c + 31.\n4. Substitute c = l + 11 to t, which gives t = l + 42.\n5. Substitute l = r + 5 to t, which gives t = r + 47.\n6. Substitute r = 1 to t, which gives t = 48.\n\nThus, the final answer is t = \\boxed{48}.",
"index": 16538,
"question": "Suppose a collection of variables is related by the following definitions: c = l + 11; t = u + 2; l = r + 5; h = c + 5; g = h + 12; a = v + 18; z = k + 20; x = z + 2; r = 1; i = a + 7; u = g + 12; k = r + 7; v = x + 4. Given that r = 1, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"f": "z + 4", "g": "f + 18", "o": "g + 17", "k": "o + 8", "m": "k + 20", "j": "m + 17", "s": "z + 20", "h": "s + 18", "v": "h + 7", "w": "v + 12", "c": "w + 9", "i": "c + 15", "z": 16}, "premises": {"z": 16}, "target": "j"}, "answer": {"steps": [["m", "k + 20", "k + 37"], ["k", "o + 8", "o + 45"], ["o", "g + 17", "g + 62"], ["g", "f + 18", "f + 80"], ["f", "z + 4", "z + 84"], ["z", 16, "100"]], "target_var_name": "j", "target_value": 100, "value_dict": {"z": 16}, "is_reverse": true}} | 16,539 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = c + 15; c = w + 9; s = z + 20; w = v + 12; z = 16; j = m + 17; v = h + 7; o = g + 17; g = f + 18; k = o + 8; h = s + 18; m = k + 20; f = z + 4. If z = 16, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 20 to j, which gives j = k + 37.\n2. Substitute k = o + 8 to j, which gives j = o + 45.\n3. Substitute o = g + 17 to j, which gives j = g + 62.\n4. Substitute g = f + 18 to j, which gives j = f + 80.\n5. Substitute f = z + 4 to j, which gives j = z + 84.\n6. Substitute z = 16 to j, which gives j = 100.\n\nThus, the final answer is j = \\boxed{100}.",
"index": 16539,
"question": "Consider a system of variables where each variable is defined as follows: i = c + 15; c = w + 9; s = z + 20; w = v + 12; z = 16; j = m + 17; v = h + 7; o = g + 17; g = f + 18; k = o + 8; h = s + 18; m = k + 20; f = z + 4. If z = 16, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"g": "k + 11", "y": "g + 12", "u": "y + 5", "b": "u + 8", "h": "b + 11", "r": "h + 11", "n": "k + 13", "m": "n + 13", "z": "m + 9", "i": "z + 17", "x": "i + 4", "q": "x + 20", "k": 9}, "premises": {"k": 9}, "target": "r"}, "answer": {"steps": [["h", "b + 11", "b + 22"], ["b", "u + 8", "u + 30"], ["u", "y + 5", "y + 35"], ["y", "g + 12", "g + 47"], ["g", "k + 11", "k + 58"], ["k", 9, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"k": 9}, "is_reverse": true}} | 16,540 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = y + 5; k = 9; b = u + 8; r = h + 11; h = b + 11; g = k + 11; n = k + 13; x = i + 4; m = n + 13; q = x + 20; y = g + 12; z = m + 9; i = z + 17. If k = 9, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 11 to r, which gives r = b + 22.\n2. Substitute b = u + 8 to r, which gives r = u + 30.\n3. Substitute u = y + 5 to r, which gives r = y + 35.\n4. Substitute y = g + 12 to r, which gives r = g + 47.\n5. Substitute g = k + 11 to r, which gives r = k + 58.\n6. Substitute k = 9 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 16540,
"question": "Consider a system of variables where each variable is defined as follows: u = y + 5; k = 9; b = u + 8; r = h + 11; h = b + 11; g = k + 11; n = k + 13; x = i + 4; m = n + 13; q = x + 20; y = g + 12; z = m + 9; i = z + 17. If k = 9, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 4", "x": "o + 2", "h": "x + 4", "d": "h + 3", "j": "d + 1", "k": "j + 6", "n": "i + 19", "r": "n + 3", "q": "r + 16", "c": "q + 13", "m": "c + 3", "s": "m + 1", "i": 8}, "premises": {"i": 8}, "target": "k"}, "answer": {"steps": [["j", "d + 1", "d + 7"], ["d", "h + 3", "h + 10"], ["h", "x + 4", "x + 14"], ["x", "o + 2", "o + 16"], ["o", "i + 4", "i + 20"], ["i", 8, "28"]], "target_var_name": "k", "target_value": 28, "value_dict": {"i": 8}, "is_reverse": true}} | 16,541 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = r + 16; s = m + 1; x = o + 2; r = n + 3; j = d + 1; h = x + 4; c = q + 13; m = c + 3; i = 8; k = j + 6; n = i + 19; d = h + 3; o = i + 4. If i = 8, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 28,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 1 to k, which gives k = d + 7.\n2. Substitute d = h + 3 to k, which gives k = h + 10.\n3. Substitute h = x + 4 to k, which gives k = x + 14.\n4. Substitute x = o + 2 to k, which gives k = o + 16.\n5. Substitute o = i + 4 to k, which gives k = i + 20.\n6. Substitute i = 8 to k, which gives k = 28.\n\nThus, the final answer is k = \\boxed{28}.",
"index": 16541,
"question": "Consider a system of variables where each variable is defined as follows: q = r + 16; s = m + 1; x = o + 2; r = n + 3; j = d + 1; h = x + 4; c = q + 13; m = c + 3; i = 8; k = j + 6; n = i + 19; d = h + 3; o = i + 4. If i = 8, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"b": "m + 19", "e": "b + 8", "u": "e + 9", "o": "u + 20", "t": "o + 15", "j": "t + 10", "v": "m + 14", "s": "v + 6", "g": "s + 9", "y": "g + 6", "i": "y + 1", "k": "i + 16", "m": 8}, "premises": {"m": 8}, "target": "j"}, "answer": {"steps": [["t", "o + 15", "o + 25"], ["o", "u + 20", "u + 45"], ["u", "e + 9", "e + 54"], ["e", "b + 8", "b + 62"], ["b", "m + 19", "m + 81"], ["m", 8, "89"]], "target_var_name": "j", "target_value": 89, "value_dict": {"m": 8}, "is_reverse": true}} | 16,542 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = b + 8; b = m + 19; i = y + 1; t = o + 15; k = i + 16; u = e + 9; g = s + 9; m = 8; s = v + 6; j = t + 10; v = m + 14; o = u + 20; y = g + 6. If m = 8, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 15 to j, which gives j = o + 25.\n2. Substitute o = u + 20 to j, which gives j = u + 45.\n3. Substitute u = e + 9 to j, which gives j = e + 54.\n4. Substitute e = b + 8 to j, which gives j = b + 62.\n5. Substitute b = m + 19 to j, which gives j = m + 81.\n6. Substitute m = 8 to j, which gives j = 89.\n\nThus, the final answer is j = \\boxed{89}.",
"index": 16542,
"question": "Consider a system of variables where each variable is defined as follows: e = b + 8; b = m + 19; i = y + 1; t = o + 15; k = i + 16; u = e + 9; g = s + 9; m = 8; s = v + 6; j = t + 10; v = m + 14; o = u + 20; y = g + 6. If m = 8, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 13", "y": "b + 16", "p": "y + 6", "q": "p + 15", "g": "q + 20", "c": "g + 5", "w": "o + 20", "j": "w + 16", "k": "j + 10", "e": "k + 5", "f": "e + 20", "s": "f + 10", "o": 13}, "premises": {"o": 13}, "target": "c"}, "answer": {"steps": [["g", "q + 20", "q + 25"], ["q", "p + 15", "p + 40"], ["p", "y + 6", "y + 46"], ["y", "b + 16", "b + 62"], ["b", "o + 13", "o + 75"], ["o", 13, "88"]], "target_var_name": "c", "target_value": 88, "value_dict": {"o": 13}, "is_reverse": true}} | 16,543 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = o + 13; q = p + 15; p = y + 6; c = g + 5; y = b + 16; w = o + 20; g = q + 20; k = j + 10; o = 13; e = k + 5; j = w + 16; f = e + 20; s = f + 10. If o = 13, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 20 to c, which gives c = q + 25.\n2. Substitute q = p + 15 to c, which gives c = p + 40.\n3. Substitute p = y + 6 to c, which gives c = y + 46.\n4. Substitute y = b + 16 to c, which gives c = b + 62.\n5. Substitute b = o + 13 to c, which gives c = o + 75.\n6. Substitute o = 13 to c, which gives c = 88.\n\nThus, the final answer is c = \\boxed{88}.",
"index": 16543,
"question": "Consider a system of variables where each variable is defined as follows: b = o + 13; q = p + 15; p = y + 6; c = g + 5; y = b + 16; w = o + 20; g = q + 20; k = j + 10; o = 13; e = k + 5; j = w + 16; f = e + 20; s = f + 10. If o = 13, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 18", "e": "h + 2", "g": "e + 7", "a": "g + 9", "v": "a + 1", "w": "v + 18", "q": "m + 18", "i": "q + 9", "c": "i + 19", "u": "c + 6", "x": "u + 10", "d": "x + 15", "m": 19}, "premises": {"m": 19}, "target": "w"}, "answer": {"steps": [["v", "a + 1", "a + 19"], ["a", "g + 9", "g + 28"], ["g", "e + 7", "e + 35"], ["e", "h + 2", "h + 37"], ["h", "m + 18", "m + 55"], ["m", 19, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"m": 19}, "is_reverse": true}} | 16,544 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = h + 2; m = 19; w = v + 18; u = c + 6; q = m + 18; g = e + 7; d = x + 15; v = a + 1; a = g + 9; x = u + 10; i = q + 9; c = i + 19; h = m + 18. Given that m = 19, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 1 to w, which gives w = a + 19.\n2. Substitute a = g + 9 to w, which gives w = g + 28.\n3. Substitute g = e + 7 to w, which gives w = e + 35.\n4. Substitute e = h + 2 to w, which gives w = h + 37.\n5. Substitute h = m + 18 to w, which gives w = m + 55.\n6. Substitute m = 19 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 16544,
"question": "Suppose a collection of variables is related by the following definitions: e = h + 2; m = 19; w = v + 18; u = c + 6; q = m + 18; g = e + 7; d = x + 15; v = a + 1; a = g + 9; x = u + 10; i = q + 9; c = i + 19; h = m + 18. Given that m = 19, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 20", "c": "w + 5", "r": "c + 4", "b": "r + 5", "v": "b + 8", "j": "v + 8", "i": "n + 1", "x": "i + 14", "h": "x + 10", "l": "h + 1", "d": "l + 12", "g": "d + 18", "n": 8}, "premises": {"n": 8}, "target": "j"}, "answer": {"steps": [["v", "b + 8", "b + 16"], ["b", "r + 5", "r + 21"], ["r", "c + 4", "c + 25"], ["c", "w + 5", "w + 30"], ["w", "n + 20", "n + 50"], ["n", 8, "58"]], "target_var_name": "j", "target_value": 58, "value_dict": {"n": 8}, "is_reverse": true}} | 16,545 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = x + 10; v = b + 8; i = n + 1; d = l + 12; r = c + 4; w = n + 20; n = 8; b = r + 5; c = w + 5; j = v + 8; g = d + 18; l = h + 1; x = i + 14. If n = 8, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 8 to j, which gives j = b + 16.\n2. Substitute b = r + 5 to j, which gives j = r + 21.\n3. Substitute r = c + 4 to j, which gives j = c + 25.\n4. Substitute c = w + 5 to j, which gives j = w + 30.\n5. Substitute w = n + 20 to j, which gives j = n + 50.\n6. Substitute n = 8 to j, which gives j = 58.\n\nThus, the final answer is j = \\boxed{58}.",
"index": 16545,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = x + 10; v = b + 8; i = n + 1; d = l + 12; r = c + 4; w = n + 20; n = 8; b = r + 5; c = w + 5; j = v + 8; g = d + 18; l = h + 1; x = i + 14. If n = 8, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"d": "w + 6", "n": "d + 18", "f": "n + 14", "h": "f + 18", "j": "h + 11", "s": "j + 13", "o": "w + 4", "i": "o + 12", "c": "i + 3", "p": "c + 8", "u": "p + 3", "z": "u + 6", "w": 9}, "premises": {"w": 9}, "target": "s"}, "answer": {"steps": [["j", "h + 11", "h + 24"], ["h", "f + 18", "f + 42"], ["f", "n + 14", "n + 56"], ["n", "d + 18", "d + 74"], ["d", "w + 6", "w + 80"], ["w", 9, "89"]], "target_var_name": "s", "target_value": 89, "value_dict": {"w": 9}, "is_reverse": true}} | 16,546 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = d + 18; w = 9; u = p + 3; j = h + 11; o = w + 4; p = c + 8; d = w + 6; s = j + 13; z = u + 6; i = o + 12; f = n + 14; c = i + 3; h = f + 18. If w = 9, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 11 to s, which gives s = h + 24.\n2. Substitute h = f + 18 to s, which gives s = f + 42.\n3. Substitute f = n + 14 to s, which gives s = n + 56.\n4. Substitute n = d + 18 to s, which gives s = d + 74.\n5. Substitute d = w + 6 to s, which gives s = w + 80.\n6. Substitute w = 9 to s, which gives s = 89.\n\nThus, the final answer is s = \\boxed{89}.",
"index": 16546,
"question": "Consider a system of variables where each variable is defined as follows: n = d + 18; w = 9; u = p + 3; j = h + 11; o = w + 4; p = c + 8; d = w + 6; s = j + 13; z = u + 6; i = o + 12; f = n + 14; c = i + 3; h = f + 18. If w = 9, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"p": "q + 7", "g": "p + 4", "l": "g + 2", "s": "l + 16", "d": "s + 16", "x": "d + 5", "y": "q + 15", "z": "y + 13", "h": "z + 10", "c": "h + 6", "n": "c + 11", "f": "n + 9", "q": 8}, "premises": {"q": 8}, "target": "x"}, "answer": {"steps": [["d", "s + 16", "s + 21"], ["s", "l + 16", "l + 37"], ["l", "g + 2", "g + 39"], ["g", "p + 4", "p + 43"], ["p", "q + 7", "q + 50"], ["q", 8, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"q": 8}, "is_reverse": true}} | 16,547 | 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 + 5; c = h + 6; s = l + 16; f = n + 9; l = g + 2; y = q + 15; g = p + 4; z = y + 13; n = c + 11; q = 8; d = s + 16; h = z + 10; p = q + 7. If q = 8, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 16 to x, which gives x = s + 21.\n2. Substitute s = l + 16 to x, which gives x = l + 37.\n3. Substitute l = g + 2 to x, which gives x = g + 39.\n4. Substitute g = p + 4 to x, which gives x = p + 43.\n5. Substitute p = q + 7 to x, which gives x = q + 50.\n6. Substitute q = 8 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 16547,
"question": "Consider a system of variables where each variable is defined as follows: x = d + 5; c = h + 6; s = l + 16; f = n + 9; l = g + 2; y = q + 15; g = p + 4; z = y + 13; n = c + 11; q = 8; d = s + 16; h = z + 10; p = q + 7. If q = 8, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 5", "z": "o + 8", "i": "z + 13", "b": "i + 13", "a": "b + 19", "e": "a + 3", "d": "v + 19", "c": "d + 15", "w": "c + 11", "m": "w + 1", "j": "m + 11", "g": "j + 7", "v": 3}, "premises": {"v": 3}, "target": "e"}, "answer": {"steps": [["a", "b + 19", "b + 22"], ["b", "i + 13", "i + 35"], ["i", "z + 13", "z + 48"], ["z", "o + 8", "o + 56"], ["o", "v + 5", "v + 61"], ["v", 3, "64"]], "target_var_name": "e", "target_value": 64, "value_dict": {"v": 3}, "is_reverse": true}} | 16,548 | 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 = i + 13; a = b + 19; o = v + 5; d = v + 19; i = z + 13; e = a + 3; z = o + 8; c = d + 15; m = w + 1; j = m + 11; w = c + 11; g = j + 7; v = 3. If v = 3, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 19 to e, which gives e = b + 22.\n2. Substitute b = i + 13 to e, which gives e = i + 35.\n3. Substitute i = z + 13 to e, which gives e = z + 48.\n4. Substitute z = o + 8 to e, which gives e = o + 56.\n5. Substitute o = v + 5 to e, which gives e = v + 61.\n6. Substitute v = 3 to e, which gives e = 64.\n\nThus, the final answer is e = \\boxed{64}.",
"index": 16548,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 13; a = b + 19; o = v + 5; d = v + 19; i = z + 13; e = a + 3; z = o + 8; c = d + 15; m = w + 1; j = m + 11; w = c + 11; g = j + 7; v = 3. If v = 3, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"t": "b + 7", "j": "t + 3", "k": "j + 17", "w": "k + 6", "n": "w + 13", "l": "n + 9", "g": "b + 13", "c": "g + 20", "h": "c + 10", "d": "h + 2", "x": "d + 18", "a": "x + 12", "b": 1}, "premises": {"b": 1}, "target": "l"}, "answer": {"steps": [["n", "w + 13", "w + 22"], ["w", "k + 6", "k + 28"], ["k", "j + 17", "j + 45"], ["j", "t + 3", "t + 48"], ["t", "b + 7", "b + 55"], ["b", 1, "56"]], "target_var_name": "l", "target_value": 56, "value_dict": {"b": 1}, "is_reverse": true}} | 16,549 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = j + 17; j = t + 3; n = w + 13; t = b + 7; l = n + 9; x = d + 18; c = g + 20; h = c + 10; w = k + 6; b = 1; a = x + 12; d = h + 2; g = b + 13. Given that b = 1, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 13 to l, which gives l = w + 22.\n2. Substitute w = k + 6 to l, which gives l = k + 28.\n3. Substitute k = j + 17 to l, which gives l = j + 45.\n4. Substitute j = t + 3 to l, which gives l = t + 48.\n5. Substitute t = b + 7 to l, which gives l = b + 55.\n6. Substitute b = 1 to l, which gives l = 56.\n\nThus, the final answer is l = \\boxed{56}.",
"index": 16549,
"question": "Suppose a collection of variables is related by the following definitions: k = j + 17; j = t + 3; n = w + 13; t = b + 7; l = n + 9; x = d + 18; c = g + 20; h = c + 10; w = k + 6; b = 1; a = x + 12; d = h + 2; g = b + 13. Given that b = 1, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"p": "w + 18", "x": "p + 7", "z": "x + 9", "o": "z + 14", "y": "o + 18", "g": "y + 4", "d": "w + 6", "n": "d + 16", "a": "n + 12", "c": "a + 7", "h": "c + 16", "r": "h + 3", "w": 6}, "premises": {"w": 6}, "target": "g"}, "answer": {"steps": [["y", "o + 18", "o + 22"], ["o", "z + 14", "z + 36"], ["z", "x + 9", "x + 45"], ["x", "p + 7", "p + 52"], ["p", "w + 18", "w + 70"], ["w", 6, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"w": 6}, "is_reverse": true}} | 16,550 | 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 = d + 16; g = y + 4; a = n + 12; z = x + 9; p = w + 18; x = p + 7; c = a + 7; y = o + 18; h = c + 16; o = z + 14; w = 6; r = h + 3; d = w + 6. If w = 6, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 18 to g, which gives g = o + 22.\n2. Substitute o = z + 14 to g, which gives g = z + 36.\n3. Substitute z = x + 9 to g, which gives g = x + 45.\n4. Substitute x = p + 7 to g, which gives g = p + 52.\n5. Substitute p = w + 18 to g, which gives g = w + 70.\n6. Substitute w = 6 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 16550,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = d + 16; g = y + 4; a = n + 12; z = x + 9; p = w + 18; x = p + 7; c = a + 7; y = o + 18; h = c + 16; o = z + 14; w = 6; r = h + 3; d = w + 6. If w = 6, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 18", "w": "j + 6", "e": "w + 12", "r": "e + 13", "f": "r + 5", "i": "f + 20", "a": "c + 3", "n": "a + 18", "p": "n + 2", "s": "p + 8", "x": "s + 2", "o": "x + 16", "c": 17}, "premises": {"c": 17}, "target": "i"}, "answer": {"steps": [["f", "r + 5", "r + 25"], ["r", "e + 13", "e + 38"], ["e", "w + 12", "w + 50"], ["w", "j + 6", "j + 56"], ["j", "c + 18", "c + 74"], ["c", 17, "91"]], "target_var_name": "i", "target_value": 91, "value_dict": {"c": 17}, "is_reverse": true}} | 16,551 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = e + 13; x = s + 2; w = j + 6; o = x + 16; p = n + 2; a = c + 3; n = a + 18; c = 17; i = f + 20; s = p + 8; j = c + 18; f = r + 5; e = w + 12. Given that c = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 5 to i, which gives i = r + 25.\n2. Substitute r = e + 13 to i, which gives i = e + 38.\n3. Substitute e = w + 12 to i, which gives i = w + 50.\n4. Substitute w = j + 6 to i, which gives i = j + 56.\n5. Substitute j = c + 18 to i, which gives i = c + 74.\n6. Substitute c = 17 to i, which gives i = 91.\n\nThus, the final answer is i = \\boxed{91}.",
"index": 16551,
"question": "Suppose a collection of variables is related by the following definitions: r = e + 13; x = s + 2; w = j + 6; o = x + 16; p = n + 2; a = c + 3; n = a + 18; c = 17; i = f + 20; s = p + 8; j = c + 18; f = r + 5; e = w + 12. Given that c = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"d": "k + 4", "f": "d + 12", "j": "f + 7", "m": "j + 5", "z": "m + 5", "q": "z + 14", "i": "k + 3", "n": "i + 7", "o": "n + 15", "b": "o + 2", "a": "b + 8", "g": "a + 2", "k": 1}, "premises": {"k": 1}, "target": "q"}, "answer": {"steps": [["z", "m + 5", "m + 19"], ["m", "j + 5", "j + 24"], ["j", "f + 7", "f + 31"], ["f", "d + 12", "d + 43"], ["d", "k + 4", "k + 47"], ["k", 1, "48"]], "target_var_name": "q", "target_value": 48, "value_dict": {"k": 1}, "is_reverse": true}} | 16,552 | 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 = a + 2; q = z + 14; z = m + 5; j = f + 7; d = k + 4; a = b + 8; b = o + 2; k = 1; o = n + 15; n = i + 7; m = j + 5; f = d + 12; i = k + 3. If k = 1, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 5 to q, which gives q = m + 19.\n2. Substitute m = j + 5 to q, which gives q = j + 24.\n3. Substitute j = f + 7 to q, which gives q = f + 31.\n4. Substitute f = d + 12 to q, which gives q = d + 43.\n5. Substitute d = k + 4 to q, which gives q = k + 47.\n6. Substitute k = 1 to q, which gives q = 48.\n\nThus, the final answer is q = \\boxed{48}.",
"index": 16552,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = a + 2; q = z + 14; z = m + 5; j = f + 7; d = k + 4; a = b + 8; b = o + 2; k = 1; o = n + 15; n = i + 7; m = j + 5; f = d + 12; i = k + 3. If k = 1, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"t": "r + 6", "n": "t + 8", "e": "n + 20", "v": "e + 8", "o": "v + 18", "w": "o + 11", "m": "r + 15", "g": "m + 11", "i": "g + 7", "q": "i + 17", "u": "q + 1", "z": "u + 15", "r": 1}, "premises": {"r": 1}, "target": "w"}, "answer": {"steps": [["o", "v + 18", "v + 29"], ["v", "e + 8", "e + 37"], ["e", "n + 20", "n + 57"], ["n", "t + 8", "t + 65"], ["t", "r + 6", "r + 71"], ["r", 1, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"r": 1}, "is_reverse": true}} | 16,553 | 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; e = n + 20; w = o + 11; o = v + 18; i = g + 7; n = t + 8; u = q + 1; t = r + 6; r = 1; q = i + 17; m = r + 15; g = m + 11; z = u + 15. If r = 1, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 18 to w, which gives w = v + 29.\n2. Substitute v = e + 8 to w, which gives w = e + 37.\n3. Substitute e = n + 20 to w, which gives w = n + 57.\n4. Substitute n = t + 8 to w, which gives w = t + 65.\n5. Substitute t = r + 6 to w, which gives w = r + 71.\n6. Substitute r = 1 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 16553,
"question": "Consider a system of variables where each variable is defined as follows: v = e + 8; e = n + 20; w = o + 11; o = v + 18; i = g + 7; n = t + 8; u = q + 1; t = r + 6; r = 1; q = i + 17; m = r + 15; g = m + 11; z = u + 15. If r = 1, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 13", "c": "w + 15", "y": "c + 18", "f": "y + 6", "o": "f + 8", "v": "o + 3", "g": "b + 6", "s": "g + 6", "k": "s + 17", "d": "k + 2", "h": "d + 16", "m": "h + 17", "b": 10}, "premises": {"b": 10}, "target": "v"}, "answer": {"steps": [["o", "f + 8", "f + 11"], ["f", "y + 6", "y + 17"], ["y", "c + 18", "c + 35"], ["c", "w + 15", "w + 50"], ["w", "b + 13", "b + 63"], ["b", 10, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"b": 10}, "is_reverse": true}} | 16,554 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = k + 2; h = d + 16; m = h + 17; s = g + 6; w = b + 13; v = o + 3; g = b + 6; k = s + 17; b = 10; o = f + 8; c = w + 15; y = c + 18; f = y + 6. If b = 10, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 8 to v, which gives v = f + 11.\n2. Substitute f = y + 6 to v, which gives v = y + 17.\n3. Substitute y = c + 18 to v, which gives v = c + 35.\n4. Substitute c = w + 15 to v, which gives v = w + 50.\n5. Substitute w = b + 13 to v, which gives v = b + 63.\n6. Substitute b = 10 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 16554,
"question": "Consider a system of variables where each variable is defined as follows: d = k + 2; h = d + 16; m = h + 17; s = g + 6; w = b + 13; v = o + 3; g = b + 6; k = s + 17; b = 10; o = f + 8; c = w + 15; y = c + 18; f = y + 6. If b = 10, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 3", "e": "y + 20", "m": "e + 2", "j": "m + 15", "q": "j + 5", "t": "q + 14", "x": "f + 8", "v": "x + 1", "i": "v + 5", "c": "i + 10", "w": "c + 7", "k": "w + 10", "f": 3}, "premises": {"f": 3}, "target": "t"}, "answer": {"steps": [["q", "j + 5", "j + 19"], ["j", "m + 15", "m + 34"], ["m", "e + 2", "e + 36"], ["e", "y + 20", "y + 56"], ["y", "f + 3", "f + 59"], ["f", 3, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"f": 3}, "is_reverse": true}} | 16,555 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 15; c = i + 10; x = f + 8; y = f + 3; i = v + 5; e = y + 20; m = e + 2; f = 3; k = w + 10; v = x + 1; q = j + 5; t = q + 14; w = c + 7. If f = 3, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 5 to t, which gives t = j + 19.\n2. Substitute j = m + 15 to t, which gives t = m + 34.\n3. Substitute m = e + 2 to t, which gives t = e + 36.\n4. Substitute e = y + 20 to t, which gives t = y + 56.\n5. Substitute y = f + 3 to t, which gives t = f + 59.\n6. Substitute f = 3 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 16555,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 15; c = i + 10; x = f + 8; y = f + 3; i = v + 5; e = y + 20; m = e + 2; f = 3; k = w + 10; v = x + 1; q = j + 5; t = q + 14; w = c + 7. If f = 3, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 2", "u": "h + 20", "k": "u + 15", "a": "k + 16", "i": "a + 16", "s": "i + 20", "p": "q + 20", "j": "p + 11", "z": "j + 18", "g": "z + 10", "b": "g + 14", "n": "b + 4", "q": 1}, "premises": {"q": 1}, "target": "s"}, "answer": {"steps": [["i", "a + 16", "a + 36"], ["a", "k + 16", "k + 52"], ["k", "u + 15", "u + 67"], ["u", "h + 20", "h + 87"], ["h", "q + 2", "q + 89"], ["q", 1, "90"]], "target_var_name": "s", "target_value": 90, "value_dict": {"q": 1}, "is_reverse": true}} | 16,556 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 2; s = i + 20; i = a + 16; p = q + 20; j = p + 11; z = j + 18; a = k + 16; g = z + 10; q = 1; u = h + 20; n = b + 4; k = u + 15; b = g + 14. If q = 1, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 16 to s, which gives s = a + 36.\n2. Substitute a = k + 16 to s, which gives s = k + 52.\n3. Substitute k = u + 15 to s, which gives s = u + 67.\n4. Substitute u = h + 20 to s, which gives s = h + 87.\n5. Substitute h = q + 2 to s, which gives s = q + 89.\n6. Substitute q = 1 to s, which gives s = 90.\n\nThus, the final answer is s = \\boxed{90}.",
"index": 16556,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 2; s = i + 20; i = a + 16; p = q + 20; j = p + 11; z = j + 18; a = k + 16; g = z + 10; q = 1; u = h + 20; n = b + 4; k = u + 15; b = g + 14. If q = 1, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 4", "k": "c + 16", "p": "k + 10", "e": "p + 19", "b": "e + 7", "x": "b + 12", "u": "m + 19", "l": "u + 12", "v": "l + 1", "q": "v + 6", "n": "q + 20", "g": "n + 4", "m": 15}, "premises": {"m": 15}, "target": "x"}, "answer": {"steps": [["b", "e + 7", "e + 19"], ["e", "p + 19", "p + 38"], ["p", "k + 10", "k + 48"], ["k", "c + 16", "c + 64"], ["c", "m + 4", "m + 68"], ["m", 15, "83"]], "target_var_name": "x", "target_value": 83, "value_dict": {"m": 15}, "is_reverse": true}} | 16,557 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = n + 4; n = q + 20; p = k + 10; v = l + 1; b = e + 7; u = m + 19; e = p + 19; k = c + 16; l = u + 12; x = b + 12; m = 15; c = m + 4; q = v + 6. If m = 15, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 7 to x, which gives x = e + 19.\n2. Substitute e = p + 19 to x, which gives x = p + 38.\n3. Substitute p = k + 10 to x, which gives x = k + 48.\n4. Substitute k = c + 16 to x, which gives x = c + 64.\n5. Substitute c = m + 4 to x, which gives x = m + 68.\n6. Substitute m = 15 to x, which gives x = 83.\n\nThus, the final answer is x = \\boxed{83}.",
"index": 16557,
"question": "Consider a system of variables where each variable is defined as follows: g = n + 4; n = q + 20; p = k + 10; v = l + 1; b = e + 7; u = m + 19; e = p + 19; k = c + 16; l = u + 12; x = b + 12; m = 15; c = m + 4; q = v + 6. If m = 15, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"b": "f + 20", "k": "b + 20", "g": "k + 2", "j": "g + 4", "x": "j + 4", "q": "x + 16", "r": "f + 11", "z": "r + 5", "d": "z + 19", "v": "d + 11", "h": "v + 4", "s": "h + 5", "f": 17}, "premises": {"f": 17}, "target": "q"}, "answer": {"steps": [["x", "j + 4", "j + 20"], ["j", "g + 4", "g + 24"], ["g", "k + 2", "k + 26"], ["k", "b + 20", "b + 46"], ["b", "f + 20", "f + 66"], ["f", 17, "83"]], "target_var_name": "q", "target_value": 83, "value_dict": {"f": 17}, "is_reverse": true}} | 16,558 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = b + 20; d = z + 19; z = r + 5; v = d + 11; q = x + 16; s = h + 5; x = j + 4; j = g + 4; g = k + 2; h = v + 4; r = f + 11; b = f + 20; f = 17. If f = 17, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 4 to q, which gives q = j + 20.\n2. Substitute j = g + 4 to q, which gives q = g + 24.\n3. Substitute g = k + 2 to q, which gives q = k + 26.\n4. Substitute k = b + 20 to q, which gives q = b + 46.\n5. Substitute b = f + 20 to q, which gives q = f + 66.\n6. Substitute f = 17 to q, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 16558,
"question": "Consider a system of variables where each variable is defined as follows: k = b + 20; d = z + 19; z = r + 5; v = d + 11; q = x + 16; s = h + 5; x = j + 4; j = g + 4; g = k + 2; h = v + 4; r = f + 11; b = f + 20; f = 17. If f = 17, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 8", "c": "w + 12", "h": "c + 5", "x": "h + 1", "t": "x + 8", "n": "t + 9", "o": "i + 13", "a": "o + 15", "k": "a + 12", "z": "k + 12", "m": "z + 7", "r": "m + 19", "i": 12}, "premises": {"i": 12}, "target": "n"}, "answer": {"steps": [["t", "x + 8", "x + 17"], ["x", "h + 1", "h + 18"], ["h", "c + 5", "c + 23"], ["c", "w + 12", "w + 35"], ["w", "i + 8", "i + 43"], ["i", 12, "55"]], "target_var_name": "n", "target_value": 55, "value_dict": {"i": 12}, "is_reverse": true}} | 16,559 | 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 = t + 9; x = h + 1; t = x + 8; k = a + 12; c = w + 12; h = c + 5; o = i + 13; a = o + 15; m = z + 7; r = m + 19; z = k + 12; w = i + 8; i = 12. If i = 12, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 8 to n, which gives n = x + 17.\n2. Substitute x = h + 1 to n, which gives n = h + 18.\n3. Substitute h = c + 5 to n, which gives n = c + 23.\n4. Substitute c = w + 12 to n, which gives n = w + 35.\n5. Substitute w = i + 8 to n, which gives n = i + 43.\n6. Substitute i = 12 to n, which gives n = 55.\n\nThus, the final answer is n = \\boxed{55}.",
"index": 16559,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 9; x = h + 1; t = x + 8; k = a + 12; c = w + 12; h = c + 5; o = i + 13; a = o + 15; m = z + 7; r = m + 19; z = k + 12; w = i + 8; i = 12. If i = 12, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"f": "l + 7", "d": "f + 18", "z": "d + 7", "p": "z + 6", "e": "p + 20", "y": "e + 1", "q": "l + 6", "j": "q + 7", "h": "j + 2", "o": "h + 4", "t": "o + 7", "r": "t + 17", "l": 11}, "premises": {"l": 11}, "target": "y"}, "answer": {"steps": [["e", "p + 20", "p + 21"], ["p", "z + 6", "z + 27"], ["z", "d + 7", "d + 34"], ["d", "f + 18", "f + 52"], ["f", "l + 7", "l + 59"], ["l", 11, "70"]], "target_var_name": "y", "target_value": 70, "value_dict": {"l": 11}, "is_reverse": true}} | 16,560 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 6; l = 11; r = t + 17; t = o + 7; h = j + 2; o = h + 4; e = p + 20; f = l + 7; z = d + 7; q = l + 6; d = f + 18; y = e + 1; j = q + 7. If l = 11, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 20 to y, which gives y = p + 21.\n2. Substitute p = z + 6 to y, which gives y = z + 27.\n3. Substitute z = d + 7 to y, which gives y = d + 34.\n4. Substitute d = f + 18 to y, which gives y = f + 52.\n5. Substitute f = l + 7 to y, which gives y = l + 59.\n6. Substitute l = 11 to y, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 16560,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 6; l = 11; r = t + 17; t = o + 7; h = j + 2; o = h + 4; e = p + 20; f = l + 7; z = d + 7; q = l + 6; d = f + 18; y = e + 1; j = q + 7. If l = 11, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"s": "i + 7", "b": "s + 6", "v": "b + 18", "r": "v + 3", "m": "r + 14", "u": "m + 8", "z": "i + 17", "w": "z + 18", "f": "w + 6", "d": "f + 9", "a": "d + 17", "n": "a + 12", "i": 16}, "premises": {"i": 16}, "target": "u"}, "answer": {"steps": [["m", "r + 14", "r + 22"], ["r", "v + 3", "v + 25"], ["v", "b + 18", "b + 43"], ["b", "s + 6", "s + 49"], ["s", "i + 7", "i + 56"], ["i", 16, "72"]], "target_var_name": "u", "target_value": 72, "value_dict": {"i": 16}, "is_reverse": true}} | 16,561 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = m + 8; n = a + 12; i = 16; s = i + 7; z = i + 17; v = b + 18; d = f + 9; f = w + 6; r = v + 3; a = d + 17; w = z + 18; b = s + 6; m = r + 14. If i = 16, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 14 to u, which gives u = r + 22.\n2. Substitute r = v + 3 to u, which gives u = v + 25.\n3. Substitute v = b + 18 to u, which gives u = b + 43.\n4. Substitute b = s + 6 to u, which gives u = s + 49.\n5. Substitute s = i + 7 to u, which gives u = i + 56.\n6. Substitute i = 16 to u, which gives u = 72.\n\nThus, the final answer is u = \\boxed{72}.",
"index": 16561,
"question": "Consider a system of variables where each variable is defined as follows: u = m + 8; n = a + 12; i = 16; s = i + 7; z = i + 17; v = b + 18; d = f + 9; f = w + 6; r = v + 3; a = d + 17; w = z + 18; b = s + 6; m = r + 14. If i = 16, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 8", "k": "z + 18", "b": "k + 9", "r": "b + 17", "e": "r + 8", "m": "e + 19", "i": "c + 9", "d": "i + 9", "f": "d + 3", "p": "f + 10", "g": "p + 3", "n": "g + 14", "c": 7}, "premises": {"c": 7}, "target": "m"}, "answer": {"steps": [["e", "r + 8", "r + 27"], ["r", "b + 17", "b + 44"], ["b", "k + 9", "k + 53"], ["k", "z + 18", "z + 71"], ["z", "c + 8", "c + 79"], ["c", 7, "86"]], "target_var_name": "m", "target_value": 86, "value_dict": {"c": 7}, "is_reverse": true}} | 16,562 | 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 = b + 17; k = z + 18; f = d + 3; n = g + 14; d = i + 9; e = r + 8; i = c + 9; p = f + 10; m = e + 19; b = k + 9; c = 7; z = c + 8; g = p + 3. If c = 7, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 8 to m, which gives m = r + 27.\n2. Substitute r = b + 17 to m, which gives m = b + 44.\n3. Substitute b = k + 9 to m, which gives m = k + 53.\n4. Substitute k = z + 18 to m, which gives m = z + 71.\n5. Substitute z = c + 8 to m, which gives m = c + 79.\n6. Substitute c = 7 to m, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 16562,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = b + 17; k = z + 18; f = d + 3; n = g + 14; d = i + 9; e = r + 8; i = c + 9; p = f + 10; m = e + 19; b = k + 9; c = 7; z = c + 8; g = p + 3. If c = 7, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 19", "e": "d + 3", "q": "e + 11", "z": "q + 6", "m": "z + 14", "j": "m + 3", "v": "r + 2", "o": "v + 16", "n": "o + 6", "p": "n + 4", "b": "p + 9", "g": "b + 15", "r": 15}, "premises": {"r": 15}, "target": "j"}, "answer": {"steps": [["m", "z + 14", "z + 17"], ["z", "q + 6", "q + 23"], ["q", "e + 11", "e + 34"], ["e", "d + 3", "d + 37"], ["d", "r + 19", "r + 56"], ["r", 15, "71"]], "target_var_name": "j", "target_value": 71, "value_dict": {"r": 15}, "is_reverse": true}} | 16,563 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = r + 19; g = b + 15; n = o + 6; q = e + 11; m = z + 14; r = 15; p = n + 4; b = p + 9; e = d + 3; v = r + 2; j = m + 3; z = q + 6; o = v + 16. If r = 15, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 14 to j, which gives j = z + 17.\n2. Substitute z = q + 6 to j, which gives j = q + 23.\n3. Substitute q = e + 11 to j, which gives j = e + 34.\n4. Substitute e = d + 3 to j, which gives j = d + 37.\n5. Substitute d = r + 19 to j, which gives j = r + 56.\n6. Substitute r = 15 to j, which gives j = 71.\n\nThus, the final answer is j = \\boxed{71}.",
"index": 16563,
"question": "Consider a system of variables where each variable is defined as follows: d = r + 19; g = b + 15; n = o + 6; q = e + 11; m = z + 14; r = 15; p = n + 4; b = p + 9; e = d + 3; v = r + 2; j = m + 3; z = q + 6; o = v + 16. If r = 15, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 20", "x": "v + 5", "i": "x + 12", "f": "i + 1", "h": "f + 16", "e": "h + 18", "z": "l + 13", "r": "z + 7", "m": "r + 3", "t": "m + 3", "s": "t + 14", "q": "s + 6", "l": 4}, "premises": {"l": 4}, "target": "e"}, "answer": {"steps": [["h", "f + 16", "f + 34"], ["f", "i + 1", "i + 35"], ["i", "x + 12", "x + 47"], ["x", "v + 5", "v + 52"], ["v", "l + 20", "l + 72"], ["l", 4, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"l": 4}, "is_reverse": true}} | 16,564 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = 4; i = x + 12; t = m + 3; h = f + 16; v = l + 20; m = r + 3; r = z + 7; f = i + 1; q = s + 6; s = t + 14; z = l + 13; x = v + 5; e = h + 18. If l = 4, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 16 to e, which gives e = f + 34.\n2. Substitute f = i + 1 to e, which gives e = i + 35.\n3. Substitute i = x + 12 to e, which gives e = x + 47.\n4. Substitute x = v + 5 to e, which gives e = v + 52.\n5. Substitute v = l + 20 to e, which gives e = l + 72.\n6. Substitute l = 4 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 16564,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 4; i = x + 12; t = m + 3; h = f + 16; v = l + 20; m = r + 3; r = z + 7; f = i + 1; q = s + 6; s = t + 14; z = l + 13; x = v + 5; e = h + 18. If l = 4, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"f": "v + 8", "n": "f + 15", "p": "n + 3", "t": "p + 2", "c": "t + 10", "i": "c + 8", "r": "v + 12", "u": "r + 19", "a": "u + 7", "g": "a + 2", "x": "g + 6", "q": "x + 19", "v": 9}, "premises": {"v": 9}, "target": "i"}, "answer": {"steps": [["c", "t + 10", "t + 18"], ["t", "p + 2", "p + 20"], ["p", "n + 3", "n + 23"], ["n", "f + 15", "f + 38"], ["f", "v + 8", "v + 46"], ["v", 9, "55"]], "target_var_name": "i", "target_value": 55, "value_dict": {"v": 9}, "is_reverse": true}} | 16,565 | 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 + 3; a = u + 7; u = r + 19; i = c + 8; q = x + 19; f = v + 8; t = p + 2; v = 9; r = v + 12; g = a + 2; x = g + 6; c = t + 10; n = f + 15. If v = 9, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 10 to i, which gives i = t + 18.\n2. Substitute t = p + 2 to i, which gives i = p + 20.\n3. Substitute p = n + 3 to i, which gives i = n + 23.\n4. Substitute n = f + 15 to i, which gives i = f + 38.\n5. Substitute f = v + 8 to i, which gives i = v + 46.\n6. Substitute v = 9 to i, which gives i = 55.\n\nThus, the final answer is i = \\boxed{55}.",
"index": 16565,
"question": "Consider a system of variables where each variable is defined as follows: p = n + 3; a = u + 7; u = r + 19; i = c + 8; q = x + 19; f = v + 8; t = p + 2; v = 9; r = v + 12; g = a + 2; x = g + 6; c = t + 10; n = f + 15. If v = 9, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"n": "m + 12", "q": "n + 6", "h": "q + 20", "i": "h + 17", "d": "i + 3", "w": "d + 11", "c": "m + 13", "f": "c + 3", "r": "f + 8", "s": "r + 13", "k": "s + 10", "x": "k + 12", "m": 10}, "premises": {"m": 10}, "target": "w"}, "answer": {"steps": [["d", "i + 3", "i + 14"], ["i", "h + 17", "h + 31"], ["h", "q + 20", "q + 51"], ["q", "n + 6", "n + 57"], ["n", "m + 12", "m + 69"], ["m", 10, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"m": 10}, "is_reverse": true}} | 16,566 | 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 = n + 6; k = s + 10; n = m + 12; c = m + 13; d = i + 3; s = r + 13; x = k + 12; r = f + 8; f = c + 3; h = q + 20; i = h + 17; m = 10; w = d + 11. If m = 10, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 3 to w, which gives w = i + 14.\n2. Substitute i = h + 17 to w, which gives w = h + 31.\n3. Substitute h = q + 20 to w, which gives w = q + 51.\n4. Substitute q = n + 6 to w, which gives w = n + 57.\n5. Substitute n = m + 12 to w, which gives w = m + 69.\n6. Substitute m = 10 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 16566,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 6; k = s + 10; n = m + 12; c = m + 13; d = i + 3; s = r + 13; x = k + 12; r = f + 8; f = c + 3; h = q + 20; i = h + 17; m = 10; w = d + 11. If m = 10, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 9", "c": "d + 14", "n": "c + 8", "q": "n + 4", "j": "q + 15", "z": "j + 16", "l": "p + 20", "o": "l + 18", "r": "o + 2", "a": "r + 2", "g": "a + 10", "m": "g + 3", "p": 1}, "premises": {"p": 1}, "target": "z"}, "answer": {"steps": [["j", "q + 15", "q + 31"], ["q", "n + 4", "n + 35"], ["n", "c + 8", "c + 43"], ["c", "d + 14", "d + 57"], ["d", "p + 9", "p + 66"], ["p", 1, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"p": 1}, "is_reverse": true}} | 16,567 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = 1; r = o + 2; m = g + 3; c = d + 14; g = a + 10; n = c + 8; q = n + 4; o = l + 18; z = j + 16; j = q + 15; a = r + 2; l = p + 20; d = p + 9. If p = 1, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 15 to z, which gives z = q + 31.\n2. Substitute q = n + 4 to z, which gives z = n + 35.\n3. Substitute n = c + 8 to z, which gives z = c + 43.\n4. Substitute c = d + 14 to z, which gives z = d + 57.\n5. Substitute d = p + 9 to z, which gives z = p + 66.\n6. Substitute p = 1 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 16567,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = 1; r = o + 2; m = g + 3; c = d + 14; g = a + 10; n = c + 8; q = n + 4; o = l + 18; z = j + 16; j = q + 15; a = r + 2; l = p + 20; d = p + 9. If p = 1, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 2", "m": "t + 17", "l": "m + 17", "f": "l + 5", "p": "f + 18", "j": "p + 6", "k": "w + 6", "o": "k + 14", "i": "o + 4", "d": "i + 15", "y": "d + 16", "g": "y + 19", "w": 18}, "premises": {"w": 18}, "target": "j"}, "answer": {"steps": [["p", "f + 18", "f + 24"], ["f", "l + 5", "l + 29"], ["l", "m + 17", "m + 46"], ["m", "t + 17", "t + 63"], ["t", "w + 2", "w + 65"], ["w", 18, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"w": 18}, "is_reverse": true}} | 16,568 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 2; w = 18; j = p + 6; k = w + 6; g = y + 19; y = d + 16; p = f + 18; i = o + 4; o = k + 14; m = t + 17; l = m + 17; d = i + 15; f = l + 5. Given that w = 18, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 18 to j, which gives j = f + 24.\n2. Substitute f = l + 5 to j, which gives j = l + 29.\n3. Substitute l = m + 17 to j, which gives j = m + 46.\n4. Substitute m = t + 17 to j, which gives j = t + 63.\n5. Substitute t = w + 2 to j, which gives j = w + 65.\n6. Substitute w = 18 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 16568,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 2; w = 18; j = p + 6; k = w + 6; g = y + 19; y = d + 16; p = f + 18; i = o + 4; o = k + 14; m = t + 17; l = m + 17; d = i + 15; f = l + 5. Given that w = 18, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 4", "l": "q + 1", "a": "l + 16", "y": "a + 11", "s": "y + 17", "f": "s + 18", "j": "u + 18", "x": "j + 7", "o": "x + 6", "p": "o + 2", "b": "p + 13", "d": "b + 18", "u": 18}, "premises": {"u": 18}, "target": "f"}, "answer": {"steps": [["s", "y + 17", "y + 35"], ["y", "a + 11", "a + 46"], ["a", "l + 16", "l + 62"], ["l", "q + 1", "q + 63"], ["q", "u + 4", "u + 67"], ["u", 18, "85"]], "target_var_name": "f", "target_value": 85, "value_dict": {"u": 18}, "is_reverse": true}} | 16,569 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = 18; f = s + 18; o = x + 6; a = l + 16; x = j + 7; j = u + 18; b = p + 13; d = b + 18; p = o + 2; l = q + 1; q = u + 4; y = a + 11; s = y + 17. Given that u = 18, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 17 to f, which gives f = y + 35.\n2. Substitute y = a + 11 to f, which gives f = a + 46.\n3. Substitute a = l + 16 to f, which gives f = l + 62.\n4. Substitute l = q + 1 to f, which gives f = q + 63.\n5. Substitute q = u + 4 to f, which gives f = u + 67.\n6. Substitute u = 18 to f, which gives f = 85.\n\nThus, the final answer is f = \\boxed{85}.",
"index": 16569,
"question": "Suppose a collection of variables is related by the following definitions: u = 18; f = s + 18; o = x + 6; a = l + 16; x = j + 7; j = u + 18; b = p + 13; d = b + 18; p = o + 2; l = q + 1; q = u + 4; y = a + 11; s = y + 17. Given that u = 18, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 13", "b": "n + 8", "r": "b + 14", "d": "r + 11", "h": "d + 7", "j": "h + 4", "s": "x + 1", "k": "s + 2", "f": "k + 10", "q": "f + 15", "p": "q + 7", "e": "p + 18", "x": 4}, "premises": {"x": 4}, "target": "j"}, "answer": {"steps": [["h", "d + 7", "d + 11"], ["d", "r + 11", "r + 22"], ["r", "b + 14", "b + 36"], ["b", "n + 8", "n + 44"], ["n", "x + 13", "x + 57"], ["x", 4, "61"]], "target_var_name": "j", "target_value": 61, "value_dict": {"x": 4}, "is_reverse": true}} | 16,570 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = k + 10; d = r + 11; p = q + 7; q = f + 15; b = n + 8; k = s + 2; e = p + 18; j = h + 4; r = b + 14; n = x + 13; x = 4; h = d + 7; s = x + 1. If x = 4, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 7 to j, which gives j = d + 11.\n2. Substitute d = r + 11 to j, which gives j = r + 22.\n3. Substitute r = b + 14 to j, which gives j = b + 36.\n4. Substitute b = n + 8 to j, which gives j = n + 44.\n5. Substitute n = x + 13 to j, which gives j = x + 57.\n6. Substitute x = 4 to j, which gives j = 61.\n\nThus, the final answer is j = \\boxed{61}.",
"index": 16570,
"question": "Consider a system of variables where each variable is defined as follows: f = k + 10; d = r + 11; p = q + 7; q = f + 15; b = n + 8; k = s + 2; e = p + 18; j = h + 4; r = b + 14; n = x + 13; x = 4; h = d + 7; s = x + 1. If x = 4, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 11", "u": "s + 20", "v": "u + 20", "y": "v + 17", "a": "y + 10", "m": "a + 18", "n": "g + 11", "h": "n + 19", "z": "h + 7", "x": "z + 3", "b": "x + 9", "t": "b + 13", "g": 20}, "premises": {"g": 20}, "target": "m"}, "answer": {"steps": [["a", "y + 10", "y + 28"], ["y", "v + 17", "v + 45"], ["v", "u + 20", "u + 65"], ["u", "s + 20", "s + 85"], ["s", "g + 11", "g + 96"], ["g", 20, "116"]], "target_var_name": "m", "target_value": 116, "value_dict": {"g": 20}, "is_reverse": true}} | 16,571 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = g + 11; x = z + 3; b = x + 9; y = v + 17; v = u + 20; m = a + 18; u = s + 20; n = g + 11; a = y + 10; z = h + 7; h = n + 19; g = 20; t = b + 13. Given that g = 20, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 116,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 10 to m, which gives m = y + 28.\n2. Substitute y = v + 17 to m, which gives m = v + 45.\n3. Substitute v = u + 20 to m, which gives m = u + 65.\n4. Substitute u = s + 20 to m, which gives m = s + 85.\n5. Substitute s = g + 11 to m, which gives m = g + 96.\n6. Substitute g = 20 to m, which gives m = 116.\n\nThus, the final answer is m = \\boxed{116}.",
"index": 16571,
"question": "Suppose a collection of variables is related by the following definitions: s = g + 11; x = z + 3; b = x + 9; y = v + 17; v = u + 20; m = a + 18; u = s + 20; n = g + 11; a = y + 10; z = h + 7; h = n + 19; g = 20; t = b + 13. Given that g = 20, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 4", "g": "w + 6", "u": "g + 20", "s": "u + 1", "k": "s + 3", "q": "k + 9", "t": "d + 12", "p": "t + 17", "f": "p + 17", "m": "f + 16", "n": "m + 10", "a": "n + 20", "d": 5}, "premises": {"d": 5}, "target": "q"}, "answer": {"steps": [["k", "s + 3", "s + 12"], ["s", "u + 1", "u + 13"], ["u", "g + 20", "g + 33"], ["g", "w + 6", "w + 39"], ["w", "d + 4", "d + 43"], ["d", 5, "48"]], "target_var_name": "q", "target_value": 48, "value_dict": {"d": 5}, "is_reverse": true}} | 16,572 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = p + 17; s = u + 1; g = w + 6; p = t + 17; m = f + 16; n = m + 10; a = n + 20; d = 5; q = k + 9; t = d + 12; w = d + 4; u = g + 20; k = s + 3. Given that d = 5, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 3 to q, which gives q = s + 12.\n2. Substitute s = u + 1 to q, which gives q = u + 13.\n3. Substitute u = g + 20 to q, which gives q = g + 33.\n4. Substitute g = w + 6 to q, which gives q = w + 39.\n5. Substitute w = d + 4 to q, which gives q = d + 43.\n6. Substitute d = 5 to q, which gives q = 48.\n\nThus, the final answer is q = \\boxed{48}.",
"index": 16572,
"question": "Suppose a collection of variables is related by the following definitions: f = p + 17; s = u + 1; g = w + 6; p = t + 17; m = f + 16; n = m + 10; a = n + 20; d = 5; q = k + 9; t = d + 12; w = d + 4; u = g + 20; k = s + 3. Given that d = 5, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 2", "v": "m + 9", "q": "v + 2", "r": "q + 10", "e": "r + 9", "z": "e + 2", "o": "w + 7", "l": "o + 5", "b": "l + 13", "x": "b + 19", "k": "x + 12", "p": "k + 3", "w": 10}, "premises": {"w": 10}, "target": "z"}, "answer": {"steps": [["e", "r + 9", "r + 11"], ["r", "q + 10", "q + 21"], ["q", "v + 2", "v + 23"], ["v", "m + 9", "m + 32"], ["m", "w + 2", "w + 34"], ["w", 10, "44"]], "target_var_name": "z", "target_value": 44, "value_dict": {"w": 10}, "is_reverse": true}} | 16,573 | 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 = m + 9; e = r + 9; b = l + 13; o = w + 7; x = b + 19; m = w + 2; r = q + 10; p = k + 3; k = x + 12; q = v + 2; l = o + 5; w = 10; z = e + 2. If w = 10, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 9 to z, which gives z = r + 11.\n2. Substitute r = q + 10 to z, which gives z = q + 21.\n3. Substitute q = v + 2 to z, which gives z = v + 23.\n4. Substitute v = m + 9 to z, which gives z = m + 32.\n5. Substitute m = w + 2 to z, which gives z = w + 34.\n6. Substitute w = 10 to z, which gives z = 44.\n\nThus, the final answer is z = \\boxed{44}.",
"index": 16573,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = m + 9; e = r + 9; b = l + 13; o = w + 7; x = b + 19; m = w + 2; r = q + 10; p = k + 3; k = x + 12; q = v + 2; l = o + 5; w = 10; z = e + 2. If w = 10, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 16", "v": "c + 2", "d": "v + 13", "l": "d + 3", "x": "l + 19", "k": "x + 14", "r": "a + 6", "q": "r + 14", "p": "q + 18", "s": "p + 3", "n": "s + 7", "t": "n + 8", "a": 15}, "premises": {"a": 15}, "target": "k"}, "answer": {"steps": [["x", "l + 19", "l + 33"], ["l", "d + 3", "d + 36"], ["d", "v + 13", "v + 49"], ["v", "c + 2", "c + 51"], ["c", "a + 16", "a + 67"], ["a", 15, "82"]], "target_var_name": "k", "target_value": 82, "value_dict": {"a": 15}, "is_reverse": true}} | 16,574 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = q + 18; n = s + 7; s = p + 3; a = 15; c = a + 16; d = v + 13; v = c + 2; q = r + 14; t = n + 8; x = l + 19; k = x + 14; r = a + 6; l = d + 3. Given that a = 15, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 19 to k, which gives k = l + 33.\n2. Substitute l = d + 3 to k, which gives k = d + 36.\n3. Substitute d = v + 13 to k, which gives k = v + 49.\n4. Substitute v = c + 2 to k, which gives k = c + 51.\n5. Substitute c = a + 16 to k, which gives k = a + 67.\n6. Substitute a = 15 to k, which gives k = 82.\n\nThus, the final answer is k = \\boxed{82}.",
"index": 16574,
"question": "Suppose a collection of variables is related by the following definitions: p = q + 18; n = s + 7; s = p + 3; a = 15; c = a + 16; d = v + 13; v = c + 2; q = r + 14; t = n + 8; x = l + 19; k = x + 14; r = a + 6; l = d + 3. Given that a = 15, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 14", "x": "e + 5", "p": "x + 15", "f": "p + 13", "z": "f + 5", "n": "z + 15", "b": "r + 13", "c": "b + 18", "g": "c + 10", "j": "g + 8", "d": "j + 4", "k": "d + 9", "r": 1}, "premises": {"r": 1}, "target": "n"}, "answer": {"steps": [["z", "f + 5", "f + 20"], ["f", "p + 13", "p + 33"], ["p", "x + 15", "x + 48"], ["x", "e + 5", "e + 53"], ["e", "r + 14", "r + 67"], ["r", 1, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"r": 1}, "is_reverse": true}} | 16,575 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = z + 15; x = e + 5; z = f + 5; r = 1; e = r + 14; p = x + 15; d = j + 4; k = d + 9; b = r + 13; c = b + 18; g = c + 10; f = p + 13; j = g + 8. Given that r = 1, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 5 to n, which gives n = f + 20.\n2. Substitute f = p + 13 to n, which gives n = p + 33.\n3. Substitute p = x + 15 to n, which gives n = x + 48.\n4. Substitute x = e + 5 to n, which gives n = e + 53.\n5. Substitute e = r + 14 to n, which gives n = r + 67.\n6. Substitute r = 1 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 16575,
"question": "Suppose a collection of variables is related by the following definitions: n = z + 15; x = e + 5; z = f + 5; r = 1; e = r + 14; p = x + 15; d = j + 4; k = d + 9; b = r + 13; c = b + 18; g = c + 10; f = p + 13; j = g + 8. Given that r = 1, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 3", "j": "v + 14", "a": "j + 15", "f": "a + 19", "r": "f + 4", "e": "r + 9", "o": "h + 18", "m": "o + 1", "t": "m + 4", "q": "t + 14", "x": "q + 11", "d": "x + 7", "h": 16}, "premises": {"h": 16}, "target": "e"}, "answer": {"steps": [["r", "f + 4", "f + 13"], ["f", "a + 19", "a + 32"], ["a", "j + 15", "j + 47"], ["j", "v + 14", "v + 61"], ["v", "h + 3", "h + 64"], ["h", 16, "80"]], "target_var_name": "e", "target_value": 80, "value_dict": {"h": 16}, "is_reverse": true}} | 16,576 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = o + 1; f = a + 19; x = q + 11; o = h + 18; r = f + 4; e = r + 9; d = x + 7; q = t + 14; t = m + 4; a = j + 15; h = 16; v = h + 3; j = v + 14. If h = 16, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 4 to e, which gives e = f + 13.\n2. Substitute f = a + 19 to e, which gives e = a + 32.\n3. Substitute a = j + 15 to e, which gives e = j + 47.\n4. Substitute j = v + 14 to e, which gives e = v + 61.\n5. Substitute v = h + 3 to e, which gives e = h + 64.\n6. Substitute h = 16 to e, which gives e = 80.\n\nThus, the final answer is e = \\boxed{80}.",
"index": 16576,
"question": "Consider a system of variables where each variable is defined as follows: m = o + 1; f = a + 19; x = q + 11; o = h + 18; r = f + 4; e = r + 9; d = x + 7; q = t + 14; t = m + 4; a = j + 15; h = 16; v = h + 3; j = v + 14. If h = 16, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 1", "q": "k + 9", "n": "q + 5", "h": "n + 1", "f": "h + 11", "c": "f + 16", "i": "o + 4", "y": "i + 7", "v": "y + 6", "e": "v + 11", "l": "e + 7", "a": "l + 13", "o": 7}, "premises": {"o": 7}, "target": "c"}, "answer": {"steps": [["f", "h + 11", "h + 27"], ["h", "n + 1", "n + 28"], ["n", "q + 5", "q + 33"], ["q", "k + 9", "k + 42"], ["k", "o + 1", "o + 43"], ["o", 7, "50"]], "target_var_name": "c", "target_value": 50, "value_dict": {"o": 7}, "is_reverse": true}} | 16,577 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = o + 1; o = 7; f = h + 11; q = k + 9; h = n + 1; v = y + 6; y = i + 7; c = f + 16; a = l + 13; i = o + 4; e = v + 11; n = q + 5; l = e + 7. If o = 7, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 11 to c, which gives c = h + 27.\n2. Substitute h = n + 1 to c, which gives c = n + 28.\n3. Substitute n = q + 5 to c, which gives c = q + 33.\n4. Substitute q = k + 9 to c, which gives c = k + 42.\n5. Substitute k = o + 1 to c, which gives c = o + 43.\n6. Substitute o = 7 to c, which gives c = 50.\n\nThus, the final answer is c = \\boxed{50}.",
"index": 16577,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = o + 1; o = 7; f = h + 11; q = k + 9; h = n + 1; v = y + 6; y = i + 7; c = f + 16; a = l + 13; i = o + 4; e = v + 11; n = q + 5; l = e + 7. If o = 7, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 7", "m": "h + 20", "w": "m + 17", "z": "w + 2", "c": "z + 8", "r": "c + 1", "u": "y + 5", "t": "u + 13", "d": "t + 1", "i": "d + 11", "p": "i + 15", "l": "p + 16", "y": 5}, "premises": {"y": 5}, "target": "r"}, "answer": {"steps": [["c", "z + 8", "z + 9"], ["z", "w + 2", "w + 11"], ["w", "m + 17", "m + 28"], ["m", "h + 20", "h + 48"], ["h", "y + 7", "y + 55"], ["y", 5, "60"]], "target_var_name": "r", "target_value": 60, "value_dict": {"y": 5}, "is_reverse": true}} | 16,578 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = y + 7; t = u + 13; z = w + 2; i = d + 11; d = t + 1; w = m + 17; p = i + 15; r = c + 1; c = z + 8; m = h + 20; y = 5; l = p + 16; u = y + 5. If y = 5, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 8 to r, which gives r = z + 9.\n2. Substitute z = w + 2 to r, which gives r = w + 11.\n3. Substitute w = m + 17 to r, which gives r = m + 28.\n4. Substitute m = h + 20 to r, which gives r = h + 48.\n5. Substitute h = y + 7 to r, which gives r = y + 55.\n6. Substitute y = 5 to r, which gives r = 60.\n\nThus, the final answer is r = \\boxed{60}.",
"index": 16578,
"question": "Consider a system of variables where each variable is defined as follows: h = y + 7; t = u + 13; z = w + 2; i = d + 11; d = t + 1; w = m + 17; p = i + 15; r = c + 1; c = z + 8; m = h + 20; y = 5; l = p + 16; u = y + 5. If y = 5, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 14", "k": "w + 12", "h": "k + 16", "z": "h + 6", "g": "z + 20", "b": "g + 13", "u": "x + 3", "e": "u + 7", "s": "e + 18", "y": "s + 12", "o": "y + 1", "m": "o + 9", "x": 10}, "premises": {"x": 10}, "target": "b"}, "answer": {"steps": [["g", "z + 20", "z + 33"], ["z", "h + 6", "h + 39"], ["h", "k + 16", "k + 55"], ["k", "w + 12", "w + 67"], ["w", "x + 14", "x + 81"], ["x", 10, "91"]], "target_var_name": "b", "target_value": 91, "value_dict": {"x": 10}, "is_reverse": true}} | 16,579 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = o + 9; h = k + 16; g = z + 20; s = e + 18; k = w + 12; o = y + 1; z = h + 6; y = s + 12; x = 10; e = u + 7; b = g + 13; u = x + 3; w = x + 14. If x = 10, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 20 to b, which gives b = z + 33.\n2. Substitute z = h + 6 to b, which gives b = h + 39.\n3. Substitute h = k + 16 to b, which gives b = k + 55.\n4. Substitute k = w + 12 to b, which gives b = w + 67.\n5. Substitute w = x + 14 to b, which gives b = x + 81.\n6. Substitute x = 10 to b, which gives b = 91.\n\nThus, the final answer is b = \\boxed{91}.",
"index": 16579,
"question": "Consider a system of variables where each variable is defined as follows: m = o + 9; h = k + 16; g = z + 20; s = e + 18; k = w + 12; o = y + 1; z = h + 6; y = s + 12; x = 10; e = u + 7; b = g + 13; u = x + 3; w = x + 14. If x = 10, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"s": "v + 18", "r": "s + 9", "k": "r + 6", "o": "k + 14", "c": "o + 13", "e": "c + 13", "l": "v + 6", "y": "l + 8", "b": "y + 19", "m": "b + 11", "u": "m + 6", "g": "u + 7", "v": 17}, "premises": {"v": 17}, "target": "e"}, "answer": {"steps": [["c", "o + 13", "o + 26"], ["o", "k + 14", "k + 40"], ["k", "r + 6", "r + 46"], ["r", "s + 9", "s + 55"], ["s", "v + 18", "v + 73"], ["v", 17, "90"]], "target_var_name": "e", "target_value": 90, "value_dict": {"v": 17}, "is_reverse": true}} | 16,580 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = b + 11; r = s + 9; s = v + 18; v = 17; u = m + 6; b = y + 19; o = k + 14; c = o + 13; g = u + 7; e = c + 13; k = r + 6; y = l + 8; l = v + 6. Given that v = 17, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 13 to e, which gives e = o + 26.\n2. Substitute o = k + 14 to e, which gives e = k + 40.\n3. Substitute k = r + 6 to e, which gives e = r + 46.\n4. Substitute r = s + 9 to e, which gives e = s + 55.\n5. Substitute s = v + 18 to e, which gives e = v + 73.\n6. Substitute v = 17 to e, which gives e = 90.\n\nThus, the final answer is e = \\boxed{90}.",
"index": 16580,
"question": "Suppose a collection of variables is related by the following definitions: m = b + 11; r = s + 9; s = v + 18; v = 17; u = m + 6; b = y + 19; o = k + 14; c = o + 13; g = u + 7; e = c + 13; k = r + 6; y = l + 8; l = v + 6. Given that v = 17, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 17", "n": "z + 18", "e": "n + 4", "o": "e + 20", "r": "o + 5", "m": "r + 5", "s": "t + 4", "l": "s + 1", "k": "l + 13", "p": "k + 11", "a": "p + 14", "w": "a + 1", "t": 7}, "premises": {"t": 7}, "target": "m"}, "answer": {"steps": [["r", "o + 5", "o + 10"], ["o", "e + 20", "e + 30"], ["e", "n + 4", "n + 34"], ["n", "z + 18", "z + 52"], ["z", "t + 17", "t + 69"], ["t", 7, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"t": 7}, "is_reverse": true}} | 16,581 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = l + 13; l = s + 1; n = z + 18; t = 7; r = o + 5; z = t + 17; m = r + 5; a = p + 14; o = e + 20; s = t + 4; p = k + 11; w = a + 1; e = n + 4. If t = 7, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 5 to m, which gives m = o + 10.\n2. Substitute o = e + 20 to m, which gives m = e + 30.\n3. Substitute e = n + 4 to m, which gives m = n + 34.\n4. Substitute n = z + 18 to m, which gives m = z + 52.\n5. Substitute z = t + 17 to m, which gives m = t + 69.\n6. Substitute t = 7 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 16581,
"question": "Consider a system of variables where each variable is defined as follows: k = l + 13; l = s + 1; n = z + 18; t = 7; r = o + 5; z = t + 17; m = r + 5; a = p + 14; o = e + 20; s = t + 4; p = k + 11; w = a + 1; e = n + 4. If t = 7, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 4", "l": "y + 17", "d": "l + 1", "c": "d + 20", "q": "c + 13", "w": "q + 12", "k": "i + 20", "h": "k + 9", "r": "h + 10", "t": "r + 3", "e": "t + 2", "z": "e + 5", "i": 6}, "premises": {"i": 6}, "target": "w"}, "answer": {"steps": [["q", "c + 13", "c + 25"], ["c", "d + 20", "d + 45"], ["d", "l + 1", "l + 46"], ["l", "y + 17", "y + 63"], ["y", "i + 4", "i + 67"], ["i", 6, "73"]], "target_var_name": "w", "target_value": 73, "value_dict": {"i": 6}, "is_reverse": true}} | 16,582 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 9; r = h + 10; c = d + 20; d = l + 1; q = c + 13; l = y + 17; t = r + 3; e = t + 2; w = q + 12; k = i + 20; i = 6; y = i + 4; z = e + 5. If i = 6, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 13 to w, which gives w = c + 25.\n2. Substitute c = d + 20 to w, which gives w = d + 45.\n3. Substitute d = l + 1 to w, which gives w = l + 46.\n4. Substitute l = y + 17 to w, which gives w = y + 63.\n5. Substitute y = i + 4 to w, which gives w = i + 67.\n6. Substitute i = 6 to w, which gives w = 73.\n\nThus, the final answer is w = \\boxed{73}.",
"index": 16582,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 9; r = h + 10; c = d + 20; d = l + 1; q = c + 13; l = y + 17; t = r + 3; e = t + 2; w = q + 12; k = i + 20; i = 6; y = i + 4; z = e + 5. If i = 6, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"y": "w + 6", "n": "y + 20", "k": "n + 17", "e": "k + 11", "p": "e + 5", "q": "p + 12", "u": "w + 5", "d": "u + 19", "r": "d + 20", "h": "r + 4", "g": "h + 9", "v": "g + 3", "w": 18}, "premises": {"w": 18}, "target": "q"}, "answer": {"steps": [["p", "e + 5", "e + 17"], ["e", "k + 11", "k + 28"], ["k", "n + 17", "n + 45"], ["n", "y + 20", "y + 65"], ["y", "w + 6", "w + 71"], ["w", 18, "89"]], "target_var_name": "q", "target_value": 89, "value_dict": {"w": 18}, "is_reverse": true}} | 16,583 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = g + 3; w = 18; g = h + 9; n = y + 20; k = n + 17; y = w + 6; d = u + 19; q = p + 12; e = k + 11; p = e + 5; h = r + 4; r = d + 20; u = w + 5. If w = 18, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 5 to q, which gives q = e + 17.\n2. Substitute e = k + 11 to q, which gives q = k + 28.\n3. Substitute k = n + 17 to q, which gives q = n + 45.\n4. Substitute n = y + 20 to q, which gives q = y + 65.\n5. Substitute y = w + 6 to q, which gives q = w + 71.\n6. Substitute w = 18 to q, which gives q = 89.\n\nThus, the final answer is q = \\boxed{89}.",
"index": 16583,
"question": "Consider a system of variables where each variable is defined as follows: v = g + 3; w = 18; g = h + 9; n = y + 20; k = n + 17; y = w + 6; d = u + 19; q = p + 12; e = k + 11; p = e + 5; h = r + 4; r = d + 20; u = w + 5. If w = 18, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 3", "s": "d + 20", "p": "s + 3", "m": "p + 10", "b": "m + 15", "n": "b + 7", "c": "l + 11", "o": "c + 17", "y": "o + 16", "x": "y + 19", "g": "x + 19", "e": "g + 1", "l": 14}, "premises": {"l": 14}, "target": "n"}, "answer": {"steps": [["b", "m + 15", "m + 22"], ["m", "p + 10", "p + 32"], ["p", "s + 3", "s + 35"], ["s", "d + 20", "d + 55"], ["d", "l + 3", "l + 58"], ["l", 14, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"l": 14}, "is_reverse": true}} | 16,584 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 15; s = d + 20; e = g + 1; c = l + 11; n = b + 7; g = x + 19; l = 14; p = s + 3; y = o + 16; d = l + 3; o = c + 17; m = p + 10; x = y + 19. Given that l = 14, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 15 to n, which gives n = m + 22.\n2. Substitute m = p + 10 to n, which gives n = p + 32.\n3. Substitute p = s + 3 to n, which gives n = s + 35.\n4. Substitute s = d + 20 to n, which gives n = d + 55.\n5. Substitute d = l + 3 to n, which gives n = l + 58.\n6. Substitute l = 14 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 16584,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 15; s = d + 20; e = g + 1; c = l + 11; n = b + 7; g = x + 19; l = 14; p = s + 3; y = o + 16; d = l + 3; o = c + 17; m = p + 10; x = y + 19. Given that l = 14, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 19", "i": "e + 15", "r": "i + 7", "v": "r + 7", "l": "v + 18", "q": "l + 11", "d": "x + 17", "t": "d + 12", "c": "t + 3", "z": "c + 19", "k": "z + 13", "a": "k + 7", "x": 6}, "premises": {"x": 6}, "target": "q"}, "answer": {"steps": [["l", "v + 18", "v + 29"], ["v", "r + 7", "r + 36"], ["r", "i + 7", "i + 43"], ["i", "e + 15", "e + 58"], ["e", "x + 19", "x + 77"], ["x", 6, "83"]], "target_var_name": "q", "target_value": 83, "value_dict": {"x": 6}, "is_reverse": true}} | 16,585 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = z + 13; l = v + 18; q = l + 11; a = k + 7; i = e + 15; v = r + 7; d = x + 17; t = d + 12; c = t + 3; z = c + 19; r = i + 7; x = 6; e = x + 19. Given that x = 6, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 18 to q, which gives q = v + 29.\n2. Substitute v = r + 7 to q, which gives q = r + 36.\n3. Substitute r = i + 7 to q, which gives q = i + 43.\n4. Substitute i = e + 15 to q, which gives q = e + 58.\n5. Substitute e = x + 19 to q, which gives q = x + 77.\n6. Substitute x = 6 to q, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 16585,
"question": "Suppose a collection of variables is related by the following definitions: k = z + 13; l = v + 18; q = l + 11; a = k + 7; i = e + 15; v = r + 7; d = x + 17; t = d + 12; c = t + 3; z = c + 19; r = i + 7; x = 6; e = x + 19. Given that x = 6, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 10", "g": "s + 17", "d": "g + 10", "w": "d + 6", "q": "w + 6", "h": "q + 15", "r": "c + 5", "f": "r + 9", "o": "f + 3", "y": "o + 13", "j": "y + 3", "m": "j + 2", "c": 2}, "premises": {"c": 2}, "target": "h"}, "answer": {"steps": [["q", "w + 6", "w + 21"], ["w", "d + 6", "d + 27"], ["d", "g + 10", "g + 37"], ["g", "s + 17", "s + 54"], ["s", "c + 10", "c + 64"], ["c", 2, "66"]], "target_var_name": "h", "target_value": 66, "value_dict": {"c": 2}, "is_reverse": true}} | 16,586 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = o + 13; m = j + 2; r = c + 5; o = f + 3; s = c + 10; g = s + 17; w = d + 6; f = r + 9; d = g + 10; h = q + 15; q = w + 6; c = 2; j = y + 3. Given that c = 2, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 6 to h, which gives h = w + 21.\n2. Substitute w = d + 6 to h, which gives h = d + 27.\n3. Substitute d = g + 10 to h, which gives h = g + 37.\n4. Substitute g = s + 17 to h, which gives h = s + 54.\n5. Substitute s = c + 10 to h, which gives h = c + 64.\n6. Substitute c = 2 to h, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 16586,
"question": "Suppose a collection of variables is related by the following definitions: y = o + 13; m = j + 2; r = c + 5; o = f + 3; s = c + 10; g = s + 17; w = d + 6; f = r + 9; d = g + 10; h = q + 15; q = w + 6; c = 2; j = y + 3. Given that c = 2, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 12", "z": "t + 12", "j": "z + 3", "p": "j + 20", "g": "p + 18", "i": "g + 17", "f": "l + 14", "r": "f + 9", "a": "r + 11", "q": "a + 13", "y": "q + 6", "k": "y + 1", "l": 20}, "premises": {"l": 20}, "target": "i"}, "answer": {"steps": [["g", "p + 18", "p + 35"], ["p", "j + 20", "j + 55"], ["j", "z + 3", "z + 58"], ["z", "t + 12", "t + 70"], ["t", "l + 12", "l + 82"], ["l", 20, "102"]], "target_var_name": "i", "target_value": 102, "value_dict": {"l": 20}, "is_reverse": true}} | 16,587 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = q + 6; q = a + 13; l = 20; f = l + 14; z = t + 12; i = g + 17; t = l + 12; r = f + 9; k = y + 1; a = r + 11; p = j + 20; g = p + 18; j = z + 3. If l = 20, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 18 to i, which gives i = p + 35.\n2. Substitute p = j + 20 to i, which gives i = j + 55.\n3. Substitute j = z + 3 to i, which gives i = z + 58.\n4. Substitute z = t + 12 to i, which gives i = t + 70.\n5. Substitute t = l + 12 to i, which gives i = l + 82.\n6. Substitute l = 20 to i, which gives i = 102.\n\nThus, the final answer is i = \\boxed{102}.",
"index": 16587,
"question": "Consider a system of variables where each variable is defined as follows: y = q + 6; q = a + 13; l = 20; f = l + 14; z = t + 12; i = g + 17; t = l + 12; r = f + 9; k = y + 1; a = r + 11; p = j + 20; g = p + 18; j = z + 3. If l = 20, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 16", "i": "b + 3", "r": "i + 2", "x": "r + 5", "y": "x + 17", "a": "y + 5", "l": "e + 10", "p": "l + 6", "g": "p + 8", "h": "g + 13", "w": "h + 19", "s": "w + 7", "e": 15}, "premises": {"e": 15}, "target": "a"}, "answer": {"steps": [["y", "x + 17", "x + 22"], ["x", "r + 5", "r + 27"], ["r", "i + 2", "i + 29"], ["i", "b + 3", "b + 32"], ["b", "e + 16", "e + 48"], ["e", 15, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"e": 15}, "is_reverse": true}} | 16,588 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = e + 10; r = i + 2; s = w + 7; p = l + 6; a = y + 5; b = e + 16; i = b + 3; x = r + 5; g = p + 8; e = 15; w = h + 19; y = x + 17; h = g + 13. If e = 15, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 17 to a, which gives a = x + 22.\n2. Substitute x = r + 5 to a, which gives a = r + 27.\n3. Substitute r = i + 2 to a, which gives a = i + 29.\n4. Substitute i = b + 3 to a, which gives a = b + 32.\n5. Substitute b = e + 16 to a, which gives a = e + 48.\n6. Substitute e = 15 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 16588,
"question": "Consider a system of variables where each variable is defined as follows: l = e + 10; r = i + 2; s = w + 7; p = l + 6; a = y + 5; b = e + 16; i = b + 3; x = r + 5; g = p + 8; e = 15; w = h + 19; y = x + 17; h = g + 13. If e = 15, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 17", "g": "y + 2", "l": "g + 11", "u": "l + 11", "p": "u + 14", "o": "p + 19", "t": "j + 7", "m": "t + 18", "d": "m + 15", "w": "d + 8", "x": "w + 14", "r": "x + 3", "j": 15}, "premises": {"j": 15}, "target": "o"}, "answer": {"steps": [["p", "u + 14", "u + 33"], ["u", "l + 11", "l + 44"], ["l", "g + 11", "g + 55"], ["g", "y + 2", "y + 57"], ["y", "j + 17", "j + 74"], ["j", 15, "89"]], "target_var_name": "o", "target_value": 89, "value_dict": {"j": 15}, "is_reverse": true}} | 16,589 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = j + 17; j = 15; l = g + 11; g = y + 2; o = p + 19; w = d + 8; r = x + 3; p = u + 14; u = l + 11; m = t + 18; d = m + 15; t = j + 7; x = w + 14. Given that j = 15, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 14 to o, which gives o = u + 33.\n2. Substitute u = l + 11 to o, which gives o = l + 44.\n3. Substitute l = g + 11 to o, which gives o = g + 55.\n4. Substitute g = y + 2 to o, which gives o = y + 57.\n5. Substitute y = j + 17 to o, which gives o = j + 74.\n6. Substitute j = 15 to o, which gives o = 89.\n\nThus, the final answer is o = \\boxed{89}.",
"index": 16589,
"question": "Suppose a collection of variables is related by the following definitions: y = j + 17; j = 15; l = g + 11; g = y + 2; o = p + 19; w = d + 8; r = x + 3; p = u + 14; u = l + 11; m = t + 18; d = m + 15; t = j + 7; x = w + 14. Given that j = 15, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 2", "r": "i + 4", "m": "r + 11", "h": "m + 18", "k": "h + 8", "u": "k + 10", "n": "w + 16", "y": "n + 10", "t": "y + 15", "v": "t + 15", "j": "v + 11", "a": "j + 3", "w": 18}, "premises": {"w": 18}, "target": "u"}, "answer": {"steps": [["k", "h + 8", "h + 18"], ["h", "m + 18", "m + 36"], ["m", "r + 11", "r + 47"], ["r", "i + 4", "i + 51"], ["i", "w + 2", "w + 53"], ["w", 18, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"w": 18}, "is_reverse": true}} | 16,590 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = t + 15; n = w + 16; r = i + 4; y = n + 10; u = k + 10; j = v + 11; a = j + 3; m = r + 11; t = y + 15; h = m + 18; w = 18; i = w + 2; k = h + 8. If w = 18, determine 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 k = h + 8 to u, which gives u = h + 18.\n2. Substitute h = m + 18 to u, which gives u = m + 36.\n3. Substitute m = r + 11 to u, which gives u = r + 47.\n4. Substitute r = i + 4 to u, which gives u = i + 51.\n5. Substitute i = w + 2 to u, which gives u = w + 53.\n6. Substitute w = 18 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 16590,
"question": "Consider a system of variables where each variable is defined as follows: v = t + 15; n = w + 16; r = i + 4; y = n + 10; u = k + 10; j = v + 11; a = j + 3; m = r + 11; t = y + 15; h = m + 18; w = 18; i = w + 2; k = h + 8. If w = 18, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"p": "t + 7", "u": "p + 9", "z": "u + 4", "y": "z + 6", "h": "y + 16", "e": "h + 18", "f": "t + 16", "s": "f + 11", "g": "s + 14", "j": "g + 7", "c": "j + 15", "d": "c + 8", "t": 19}, "premises": {"t": 19}, "target": "e"}, "answer": {"steps": [["h", "y + 16", "y + 34"], ["y", "z + 6", "z + 40"], ["z", "u + 4", "u + 44"], ["u", "p + 9", "p + 53"], ["p", "t + 7", "t + 60"], ["t", 19, "79"]], "target_var_name": "e", "target_value": 79, "value_dict": {"t": 19}, "is_reverse": true}} | 16,591 | 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 + 11; d = c + 8; e = h + 18; c = j + 15; u = p + 9; f = t + 16; y = z + 6; h = y + 16; j = g + 7; t = 19; z = u + 4; p = t + 7; g = s + 14. If t = 19, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 16 to e, which gives e = y + 34.\n2. Substitute y = z + 6 to e, which gives e = z + 40.\n3. Substitute z = u + 4 to e, which gives e = u + 44.\n4. Substitute u = p + 9 to e, which gives e = p + 53.\n5. Substitute p = t + 7 to e, which gives e = t + 60.\n6. Substitute t = 19 to e, which gives e = 79.\n\nThus, the final answer is e = \\boxed{79}.",
"index": 16591,
"question": "Consider a system of variables where each variable is defined as follows: s = f + 11; d = c + 8; e = h + 18; c = j + 15; u = p + 9; f = t + 16; y = z + 6; h = y + 16; j = g + 7; t = 19; z = u + 4; p = t + 7; g = s + 14. If t = 19, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 16", "v": "x + 18", "u": "v + 5", "l": "u + 19", "n": "l + 6", "s": "n + 10", "c": "t + 16", "w": "c + 3", "j": "w + 9", "z": "j + 9", "r": "z + 11", "e": "r + 18", "t": 4}, "premises": {"t": 4}, "target": "s"}, "answer": {"steps": [["n", "l + 6", "l + 16"], ["l", "u + 19", "u + 35"], ["u", "v + 5", "v + 40"], ["v", "x + 18", "x + 58"], ["x", "t + 16", "t + 74"], ["t", 4, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"t": 4}, "is_reverse": true}} | 16,592 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = t + 16; s = n + 10; w = c + 3; j = w + 9; t = 4; c = t + 16; r = z + 11; n = l + 6; l = u + 19; e = r + 18; z = j + 9; v = x + 18; u = v + 5. Given that t = 4, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 6 to s, which gives s = l + 16.\n2. Substitute l = u + 19 to s, which gives s = u + 35.\n3. Substitute u = v + 5 to s, which gives s = v + 40.\n4. Substitute v = x + 18 to s, which gives s = x + 58.\n5. Substitute x = t + 16 to s, which gives s = t + 74.\n6. Substitute t = 4 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 16592,
"question": "Suppose a collection of variables is related by the following definitions: x = t + 16; s = n + 10; w = c + 3; j = w + 9; t = 4; c = t + 16; r = z + 11; n = l + 6; l = u + 19; e = r + 18; z = j + 9; v = x + 18; u = v + 5. Given that t = 4, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 20", "q": "b + 5", "v": "q + 13", "f": "v + 13", "i": "f + 8", "z": "i + 3", "c": "d + 17", "s": "c + 5", "k": "s + 16", "o": "k + 19", "e": "o + 7", "x": "e + 20", "d": 8}, "premises": {"d": 8}, "target": "z"}, "answer": {"steps": [["i", "f + 8", "f + 11"], ["f", "v + 13", "v + 24"], ["v", "q + 13", "q + 37"], ["q", "b + 5", "b + 42"], ["b", "d + 20", "d + 62"], ["d", 8, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"d": 8}, "is_reverse": true}} | 16,593 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = c + 5; o = k + 19; i = f + 8; e = o + 7; v = q + 13; d = 8; x = e + 20; f = v + 13; q = b + 5; k = s + 16; z = i + 3; c = d + 17; b = d + 20. If d = 8, 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 i = f + 8 to z, which gives z = f + 11.\n2. Substitute f = v + 13 to z, which gives z = v + 24.\n3. Substitute v = q + 13 to z, which gives z = q + 37.\n4. Substitute q = b + 5 to z, which gives z = b + 42.\n5. Substitute b = d + 20 to z, which gives z = d + 62.\n6. Substitute d = 8 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 16593,
"question": "Consider a system of variables where each variable is defined as follows: s = c + 5; o = k + 19; i = f + 8; e = o + 7; v = q + 13; d = 8; x = e + 20; f = v + 13; q = b + 5; k = s + 16; z = i + 3; c = d + 17; b = d + 20. If d = 8, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 2", "z": "g + 18", "b": "z + 8", "p": "b + 8", "i": "p + 13", "a": "i + 16", "r": "l + 12", "q": "r + 10", "w": "q + 8", "s": "w + 5", "f": "s + 17", "u": "f + 18", "l": 6}, "premises": {"l": 6}, "target": "a"}, "answer": {"steps": [["i", "p + 13", "p + 29"], ["p", "b + 8", "b + 37"], ["b", "z + 8", "z + 45"], ["z", "g + 18", "g + 63"], ["g", "l + 2", "l + 65"], ["l", 6, "71"]], "target_var_name": "a", "target_value": 71, "value_dict": {"l": 6}, "is_reverse": true}} | 16,594 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = l + 12; p = b + 8; b = z + 8; i = p + 13; w = q + 8; f = s + 17; g = l + 2; q = r + 10; u = f + 18; z = g + 18; s = w + 5; l = 6; a = i + 16. If l = 6, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 13 to a, which gives a = p + 29.\n2. Substitute p = b + 8 to a, which gives a = b + 37.\n3. Substitute b = z + 8 to a, which gives a = z + 45.\n4. Substitute z = g + 18 to a, which gives a = g + 63.\n5. Substitute g = l + 2 to a, which gives a = l + 65.\n6. Substitute l = 6 to a, which gives a = 71.\n\nThus, the final answer is a = \\boxed{71}.",
"index": 16594,
"question": "Consider a system of variables where each variable is defined as follows: r = l + 12; p = b + 8; b = z + 8; i = p + 13; w = q + 8; f = s + 17; g = l + 2; q = r + 10; u = f + 18; z = g + 18; s = w + 5; l = 6; a = i + 16. If l = 6, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"p": "w + 10", "s": "p + 8", "l": "s + 16", "y": "l + 17", "m": "y + 18", "f": "m + 6", "n": "w + 18", "x": "n + 20", "o": "x + 9", "c": "o + 7", "h": "c + 11", "t": "h + 12", "w": 7}, "premises": {"w": 7}, "target": "f"}, "answer": {"steps": [["m", "y + 18", "y + 24"], ["y", "l + 17", "l + 41"], ["l", "s + 16", "s + 57"], ["s", "p + 8", "p + 65"], ["p", "w + 10", "w + 75"], ["w", 7, "82"]], "target_var_name": "f", "target_value": 82, "value_dict": {"w": 7}, "is_reverse": true}} | 16,595 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = x + 9; s = p + 8; f = m + 6; y = l + 17; n = w + 18; x = n + 20; t = h + 12; m = y + 18; h = c + 11; c = o + 7; w = 7; p = w + 10; l = s + 16. If w = 7, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 18 to f, which gives f = y + 24.\n2. Substitute y = l + 17 to f, which gives f = l + 41.\n3. Substitute l = s + 16 to f, which gives f = s + 57.\n4. Substitute s = p + 8 to f, which gives f = p + 65.\n5. Substitute p = w + 10 to f, which gives f = w + 75.\n6. Substitute w = 7 to f, which gives f = 82.\n\nThus, the final answer is f = \\boxed{82}.",
"index": 16595,
"question": "Consider a system of variables where each variable is defined as follows: o = x + 9; s = p + 8; f = m + 6; y = l + 17; n = w + 18; x = n + 20; t = h + 12; m = y + 18; h = c + 11; c = o + 7; w = 7; p = w + 10; l = s + 16. If w = 7, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 1", "d": "q + 4", "m": "d + 14", "f": "m + 7", "i": "f + 14", "b": "i + 14", "v": "z + 3", "c": "v + 11", "h": "c + 8", "r": "h + 5", "o": "r + 13", "w": "o + 13", "z": 8}, "premises": {"z": 8}, "target": "b"}, "answer": {"steps": [["i", "f + 14", "f + 28"], ["f", "m + 7", "m + 35"], ["m", "d + 14", "d + 49"], ["d", "q + 4", "q + 53"], ["q", "z + 1", "z + 54"], ["z", 8, "62"]], "target_var_name": "b", "target_value": 62, "value_dict": {"z": 8}, "is_reverse": true}} | 16,596 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 5; v = z + 3; h = c + 8; d = q + 4; b = i + 14; w = o + 13; o = r + 13; q = z + 1; f = m + 7; m = d + 14; i = f + 14; z = 8; c = v + 11. If z = 8, what is the resulting 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 i = f + 14 to b, which gives b = f + 28.\n2. Substitute f = m + 7 to b, which gives b = m + 35.\n3. Substitute m = d + 14 to b, which gives b = d + 49.\n4. Substitute d = q + 4 to b, which gives b = q + 53.\n5. Substitute q = z + 1 to b, which gives b = z + 54.\n6. Substitute z = 8 to b, which gives b = 62.\n\nThus, the final answer is b = \\boxed{62}.",
"index": 16596,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 5; v = z + 3; h = c + 8; d = q + 4; b = i + 14; w = o + 13; o = r + 13; q = z + 1; f = m + 7; m = d + 14; i = f + 14; z = 8; c = v + 11. If z = 8, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"t": "h + 20", "m": "t + 15", "z": "m + 8", "p": "z + 2", "f": "p + 11", "j": "f + 14", "l": "h + 14", "a": "l + 12", "k": "a + 18", "s": "k + 4", "y": "s + 19", "d": "y + 17", "h": 4}, "premises": {"h": 4}, "target": "j"}, "answer": {"steps": [["f", "p + 11", "p + 25"], ["p", "z + 2", "z + 27"], ["z", "m + 8", "m + 35"], ["m", "t + 15", "t + 50"], ["t", "h + 20", "h + 70"], ["h", 4, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"h": 4}, "is_reverse": true}} | 16,597 | 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 + 15; p = z + 2; l = h + 14; k = a + 18; z = m + 8; j = f + 14; a = l + 12; f = p + 11; s = k + 4; h = 4; y = s + 19; t = h + 20; d = y + 17. If h = 4, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 11 to j, which gives j = p + 25.\n2. Substitute p = z + 2 to j, which gives j = z + 27.\n3. Substitute z = m + 8 to j, which gives j = m + 35.\n4. Substitute m = t + 15 to j, which gives j = t + 50.\n5. Substitute t = h + 20 to j, which gives j = h + 70.\n6. Substitute h = 4 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 16597,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 15; p = z + 2; l = h + 14; k = a + 18; z = m + 8; j = f + 14; a = l + 12; f = p + 11; s = k + 4; h = 4; y = s + 19; t = h + 20; d = y + 17. If h = 4, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 15", "h": "e + 18", "n": "h + 9", "i": "n + 3", "l": "i + 13", "s": "l + 12", "c": "u + 13", "j": "c + 11", "a": "j + 8", "w": "a + 20", "b": "w + 18", "p": "b + 9", "u": 9}, "premises": {"u": 9}, "target": "s"}, "answer": {"steps": [["l", "i + 13", "i + 25"], ["i", "n + 3", "n + 28"], ["n", "h + 9", "h + 37"], ["h", "e + 18", "e + 55"], ["e", "u + 15", "u + 70"], ["u", 9, "79"]], "target_var_name": "s", "target_value": 79, "value_dict": {"u": 9}, "is_reverse": true}} | 16,598 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = w + 18; a = j + 8; s = l + 12; n = h + 9; w = a + 20; h = e + 18; j = c + 11; u = 9; i = n + 3; p = b + 9; e = u + 15; c = u + 13; l = i + 13. Given that u = 9, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 13 to s, which gives s = i + 25.\n2. Substitute i = n + 3 to s, which gives s = n + 28.\n3. Substitute n = h + 9 to s, which gives s = h + 37.\n4. Substitute h = e + 18 to s, which gives s = e + 55.\n5. Substitute e = u + 15 to s, which gives s = u + 70.\n6. Substitute u = 9 to s, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 16598,
"question": "Suppose a collection of variables is related by the following definitions: b = w + 18; a = j + 8; s = l + 12; n = h + 9; w = a + 20; h = e + 18; j = c + 11; u = 9; i = n + 3; p = b + 9; e = u + 15; c = u + 13; l = i + 13. Given that u = 9, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"u": "z + 14", "p": "u + 16", "f": "p + 8", "a": "f + 6", "v": "a + 19", "x": "v + 12", "i": "z + 6", "d": "i + 10", "g": "d + 16", "m": "g + 3", "t": "m + 7", "q": "t + 8", "z": 15}, "premises": {"z": 15}, "target": "x"}, "answer": {"steps": [["v", "a + 19", "a + 31"], ["a", "f + 6", "f + 37"], ["f", "p + 8", "p + 45"], ["p", "u + 16", "u + 61"], ["u", "z + 14", "z + 75"], ["z", 15, "90"]], "target_var_name": "x", "target_value": 90, "value_dict": {"z": 15}, "is_reverse": true}} | 16,599 | 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 = d + 16; p = u + 16; d = i + 10; m = g + 3; i = z + 6; x = v + 12; z = 15; a = f + 6; v = a + 19; f = p + 8; q = t + 8; t = m + 7; u = z + 14. If z = 15, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 19 to x, which gives x = a + 31.\n2. Substitute a = f + 6 to x, which gives x = f + 37.\n3. Substitute f = p + 8 to x, which gives x = p + 45.\n4. Substitute p = u + 16 to x, which gives x = u + 61.\n5. Substitute u = z + 14 to x, which gives x = z + 75.\n6. Substitute z = 15 to x, which gives x = 90.\n\nThus, the final answer is x = \\boxed{90}.",
"index": 16599,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = d + 16; p = u + 16; d = i + 10; m = g + 3; i = z + 6; x = v + 12; z = 15; a = f + 6; v = a + 19; f = p + 8; q = t + 8; t = m + 7; u = z + 14. If z = 15, what is the resulting value of x?",
"split": "train"
} |
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