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": {"l": "e + 13", "o": "l + 20", "a": "o + 5", "k": "a + 10", "v": "k + 7", "s": "v + 5", "c": "e + 10", "x": "c + 17", "d": "x + 13", "b": "d + 9", "t": "b + 1", "h": "t + 12", "e": 4}, "premises": {"e": 4}, "target": "s"}, "answer": {"steps": [["v", "k + 7", "k + 12"], ["k", "a + 10", "a + 22"], ["a", "o + 5", "o + 27"], ["o", "l + 20", "l + 47"], ["l", "e + 13", "e + 60"], ["e", 4, "64"]], "target_var_name": "s", "target_value": 64, "value_dict": {"e": 4}, "is_reverse": true}} | 16,800 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = k + 7; t = b + 1; e = 4; s = v + 5; c = e + 10; h = t + 12; x = c + 17; b = d + 9; d = x + 13; l = e + 13; k = a + 10; o = l + 20; a = o + 5. Given that e = 4, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 7 to s, which gives s = k + 12.\n2. Substitute k = a + 10 to s, which gives s = a + 22.\n3. Substitute a = o + 5 to s, which gives s = o + 27.\n4. Substitute o = l + 20 to s, which gives s = l + 47.\n5. Substitute l = e + 13 to s, which gives s = e + 60.\n6. Substitute e = 4 to s, which gives s = 64.\n\nThus, the final answer is s = \\boxed{64}.",
"index": 16800,
"question": "Suppose a collection of variables is related by the following definitions: v = k + 7; t = b + 1; e = 4; s = v + 5; c = e + 10; h = t + 12; x = c + 17; b = d + 9; d = x + 13; l = e + 13; k = a + 10; o = l + 20; a = o + 5. Given that e = 4, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 20", "y": "g + 15", "m": "y + 5", "x": "m + 1", "u": "x + 1", "e": "u + 18", "f": "z + 1", "i": "f + 6", "l": "i + 3", "d": "l + 7", "j": "d + 4", "n": "j + 12", "z": 18}, "premises": {"z": 18}, "target": "e"}, "answer": {"steps": [["u", "x + 1", "x + 19"], ["x", "m + 1", "m + 20"], ["m", "y + 5", "y + 25"], ["y", "g + 15", "g + 40"], ["g", "z + 20", "z + 60"], ["z", 18, "78"]], "target_var_name": "e", "target_value": 78, "value_dict": {"z": 18}, "is_reverse": true}} | 16,801 | 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 = f + 6; l = i + 3; d = l + 7; m = y + 5; j = d + 4; e = u + 18; x = m + 1; z = 18; f = z + 1; u = x + 1; g = z + 20; y = g + 15; n = j + 12. If z = 18, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 1 to e, which gives e = x + 19.\n2. Substitute x = m + 1 to e, which gives e = m + 20.\n3. Substitute m = y + 5 to e, which gives e = y + 25.\n4. Substitute y = g + 15 to e, which gives e = g + 40.\n5. Substitute g = z + 20 to e, which gives e = z + 60.\n6. Substitute z = 18 to e, which gives e = 78.\n\nThus, the final answer is e = \\boxed{78}.",
"index": 16801,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 6; l = i + 3; d = l + 7; m = y + 5; j = d + 4; e = u + 18; x = m + 1; z = 18; f = z + 1; u = x + 1; g = z + 20; y = g + 15; n = j + 12. If z = 18, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 4", "r": "d + 3", "o": "r + 9", "j": "o + 11", "b": "j + 16", "i": "b + 18", "f": "q + 9", "h": "f + 14", "l": "h + 3", "z": "l + 7", "u": "z + 12", "v": "u + 15", "q": 5}, "premises": {"q": 5}, "target": "i"}, "answer": {"steps": [["b", "j + 16", "j + 34"], ["j", "o + 11", "o + 45"], ["o", "r + 9", "r + 54"], ["r", "d + 3", "d + 57"], ["d", "q + 4", "q + 61"], ["q", 5, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"q": 5}, "is_reverse": true}} | 16,802 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = h + 3; h = f + 14; b = j + 16; r = d + 3; z = l + 7; f = q + 9; d = q + 4; q = 5; v = u + 15; u = z + 12; i = b + 18; o = r + 9; j = o + 11. Given that q = 5, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 16 to i, which gives i = j + 34.\n2. Substitute j = o + 11 to i, which gives i = o + 45.\n3. Substitute o = r + 9 to i, which gives i = r + 54.\n4. Substitute r = d + 3 to i, which gives i = d + 57.\n5. Substitute d = q + 4 to i, which gives i = q + 61.\n6. Substitute q = 5 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 16802,
"question": "Suppose a collection of variables is related by the following definitions: l = h + 3; h = f + 14; b = j + 16; r = d + 3; z = l + 7; f = q + 9; d = q + 4; q = 5; v = u + 15; u = z + 12; i = b + 18; o = r + 9; j = o + 11. Given that q = 5, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"f": "m + 16", "o": "f + 5", "i": "o + 9", "s": "i + 19", "d": "s + 17", "r": "d + 7", "u": "m + 20", "b": "u + 6", "c": "b + 13", "t": "c + 10", "z": "t + 8", "a": "z + 15", "m": 2}, "premises": {"m": 2}, "target": "r"}, "answer": {"steps": [["d", "s + 17", "s + 24"], ["s", "i + 19", "i + 43"], ["i", "o + 9", "o + 52"], ["o", "f + 5", "f + 57"], ["f", "m + 16", "m + 73"], ["m", 2, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"m": 2}, "is_reverse": true}} | 16,803 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 20; m = 2; a = z + 15; s = i + 19; c = b + 13; d = s + 17; b = u + 6; z = t + 8; i = o + 9; f = m + 16; t = c + 10; o = f + 5; r = d + 7. If m = 2, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 17 to r, which gives r = s + 24.\n2. Substitute s = i + 19 to r, which gives r = i + 43.\n3. Substitute i = o + 9 to r, which gives r = o + 52.\n4. Substitute o = f + 5 to r, which gives r = f + 57.\n5. Substitute f = m + 16 to r, which gives r = m + 73.\n6. Substitute m = 2 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 16803,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 20; m = 2; a = z + 15; s = i + 19; c = b + 13; d = s + 17; b = u + 6; z = t + 8; i = o + 9; f = m + 16; t = c + 10; o = f + 5; r = d + 7. If m = 2, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"n": "p + 15", "k": "n + 18", "e": "k + 12", "h": "e + 9", "g": "h + 7", "l": "g + 15", "u": "p + 9", "t": "u + 12", "c": "t + 4", "q": "c + 2", "f": "q + 8", "i": "f + 18", "p": 14}, "premises": {"p": 14}, "target": "l"}, "answer": {"steps": [["g", "h + 7", "h + 22"], ["h", "e + 9", "e + 31"], ["e", "k + 12", "k + 43"], ["k", "n + 18", "n + 61"], ["n", "p + 15", "p + 76"], ["p", 14, "90"]], "target_var_name": "l", "target_value": 90, "value_dict": {"p": 14}, "is_reverse": true}} | 16,804 | 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 = k + 12; h = e + 9; n = p + 15; t = u + 12; l = g + 15; c = t + 4; k = n + 18; u = p + 9; p = 14; q = c + 2; f = q + 8; g = h + 7; i = f + 18. If p = 14, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 7 to l, which gives l = h + 22.\n2. Substitute h = e + 9 to l, which gives l = e + 31.\n3. Substitute e = k + 12 to l, which gives l = k + 43.\n4. Substitute k = n + 18 to l, which gives l = n + 61.\n5. Substitute n = p + 15 to l, which gives l = p + 76.\n6. Substitute p = 14 to l, which gives l = 90.\n\nThus, the final answer is l = \\boxed{90}.",
"index": 16804,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = k + 12; h = e + 9; n = p + 15; t = u + 12; l = g + 15; c = t + 4; k = n + 18; u = p + 9; p = 14; q = c + 2; f = q + 8; g = h + 7; i = f + 18. If p = 14, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 7", "l": "y + 1", "w": "l + 12", "x": "w + 11", "s": "x + 8", "v": "s + 12", "t": "f + 7", "p": "t + 1", "d": "p + 20", "c": "d + 19", "j": "c + 11", "g": "j + 20", "f": 19}, "premises": {"f": 19}, "target": "v"}, "answer": {"steps": [["s", "x + 8", "x + 20"], ["x", "w + 11", "w + 31"], ["w", "l + 12", "l + 43"], ["l", "y + 1", "y + 44"], ["y", "f + 7", "f + 51"], ["f", 19, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"f": 19}, "is_reverse": true}} | 16,805 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = x + 8; j = c + 11; g = j + 20; p = t + 1; f = 19; x = w + 11; y = f + 7; l = y + 1; t = f + 7; w = l + 12; v = s + 12; d = p + 20; c = d + 19. If f = 19, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 8 to v, which gives v = x + 20.\n2. Substitute x = w + 11 to v, which gives v = w + 31.\n3. Substitute w = l + 12 to v, which gives v = l + 43.\n4. Substitute l = y + 1 to v, which gives v = y + 44.\n5. Substitute y = f + 7 to v, which gives v = f + 51.\n6. Substitute f = 19 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 16805,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = x + 8; j = c + 11; g = j + 20; p = t + 1; f = 19; x = w + 11; y = f + 7; l = y + 1; t = f + 7; w = l + 12; v = s + 12; d = p + 20; c = d + 19. If f = 19, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 13", "n": "j + 1", "p": "n + 12", "l": "p + 19", "t": "l + 20", "w": "t + 17", "k": "q + 5", "c": "k + 17", "d": "c + 15", "a": "d + 15", "h": "a + 15", "v": "h + 7", "q": 9}, "premises": {"q": 9}, "target": "w"}, "answer": {"steps": [["t", "l + 20", "l + 37"], ["l", "p + 19", "p + 56"], ["p", "n + 12", "n + 68"], ["n", "j + 1", "j + 69"], ["j", "q + 13", "q + 82"], ["q", 9, "91"]], "target_var_name": "w", "target_value": 91, "value_dict": {"q": 9}, "is_reverse": true}} | 16,806 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = d + 15; w = t + 17; v = h + 7; k = q + 5; n = j + 1; l = p + 19; t = l + 20; d = c + 15; h = a + 15; j = q + 13; q = 9; c = k + 17; p = n + 12. If q = 9, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 20 to w, which gives w = l + 37.\n2. Substitute l = p + 19 to w, which gives w = p + 56.\n3. Substitute p = n + 12 to w, which gives w = n + 68.\n4. Substitute n = j + 1 to w, which gives w = j + 69.\n5. Substitute j = q + 13 to w, which gives w = q + 82.\n6. Substitute q = 9 to w, which gives w = 91.\n\nThus, the final answer is w = \\boxed{91}.",
"index": 16806,
"question": "Consider a system of variables where each variable is defined as follows: a = d + 15; w = t + 17; v = h + 7; k = q + 5; n = j + 1; l = p + 19; t = l + 20; d = c + 15; h = a + 15; j = q + 13; q = 9; c = k + 17; p = n + 12. If q = 9, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 5", "d": "v + 20", "a": "d + 7", "i": "a + 14", "p": "i + 12", "l": "p + 16", "c": "f + 4", "e": "c + 1", "m": "e + 20", "j": "m + 16", "y": "j + 13", "q": "y + 19", "f": 4}, "premises": {"f": 4}, "target": "l"}, "answer": {"steps": [["p", "i + 12", "i + 28"], ["i", "a + 14", "a + 42"], ["a", "d + 7", "d + 49"], ["d", "v + 20", "v + 69"], ["v", "f + 5", "f + 74"], ["f", 4, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"f": 4}, "is_reverse": true}} | 16,807 | 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 = a + 14; j = m + 16; c = f + 4; p = i + 12; v = f + 5; e = c + 1; d = v + 20; l = p + 16; y = j + 13; f = 4; a = d + 7; m = e + 20; q = y + 19. If f = 4, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 12 to l, which gives l = i + 28.\n2. Substitute i = a + 14 to l, which gives l = a + 42.\n3. Substitute a = d + 7 to l, which gives l = d + 49.\n4. Substitute d = v + 20 to l, which gives l = v + 69.\n5. Substitute v = f + 5 to l, which gives l = f + 74.\n6. Substitute f = 4 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 16807,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = a + 14; j = m + 16; c = f + 4; p = i + 12; v = f + 5; e = c + 1; d = v + 20; l = p + 16; y = j + 13; f = 4; a = d + 7; m = e + 20; q = y + 19. If f = 4, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 4", "v": "y + 7", "w": "v + 14", "t": "w + 12", "n": "t + 17", "a": "n + 7", "j": "h + 5", "e": "j + 12", "l": "e + 10", "i": "l + 2", "k": "i + 8", "f": "k + 18", "h": 18}, "premises": {"h": 18}, "target": "a"}, "answer": {"steps": [["n", "t + 17", "t + 24"], ["t", "w + 12", "w + 36"], ["w", "v + 14", "v + 50"], ["v", "y + 7", "y + 57"], ["y", "h + 4", "h + 61"], ["h", 18, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"h": 18}, "is_reverse": true}} | 16,808 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = n + 7; w = v + 14; l = e + 10; j = h + 5; e = j + 12; n = t + 17; v = y + 7; f = k + 18; i = l + 2; h = 18; k = i + 8; t = w + 12; y = h + 4. If h = 18, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 17 to a, which gives a = t + 24.\n2. Substitute t = w + 12 to a, which gives a = w + 36.\n3. Substitute w = v + 14 to a, which gives a = v + 50.\n4. Substitute v = y + 7 to a, which gives a = y + 57.\n5. Substitute y = h + 4 to a, which gives a = h + 61.\n6. Substitute h = 18 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 16808,
"question": "Consider a system of variables where each variable is defined as follows: a = n + 7; w = v + 14; l = e + 10; j = h + 5; e = j + 12; n = t + 17; v = y + 7; f = k + 18; i = l + 2; h = 18; k = i + 8; t = w + 12; y = h + 4. If h = 18, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 13", "r": "m + 9", "b": "r + 8", "f": "b + 16", "w": "f + 18", "d": "w + 7", "g": "s + 4", "a": "g + 10", "x": "a + 10", "y": "x + 16", "o": "y + 16", "l": "o + 6", "s": 5}, "premises": {"s": 5}, "target": "d"}, "answer": {"steps": [["w", "f + 18", "f + 25"], ["f", "b + 16", "b + 41"], ["b", "r + 8", "r + 49"], ["r", "m + 9", "m + 58"], ["m", "s + 13", "s + 71"], ["s", 5, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"s": 5}, "is_reverse": true}} | 16,809 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = a + 10; r = m + 9; l = o + 6; w = f + 18; b = r + 8; d = w + 7; f = b + 16; m = s + 13; a = g + 10; o = y + 16; g = s + 4; y = x + 16; s = 5. Given that s = 5, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 18 to d, which gives d = f + 25.\n2. Substitute f = b + 16 to d, which gives d = b + 41.\n3. Substitute b = r + 8 to d, which gives d = r + 49.\n4. Substitute r = m + 9 to d, which gives d = m + 58.\n5. Substitute m = s + 13 to d, which gives d = s + 71.\n6. Substitute s = 5 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 16809,
"question": "Suppose a collection of variables is related by the following definitions: x = a + 10; r = m + 9; l = o + 6; w = f + 18; b = r + 8; d = w + 7; f = b + 16; m = s + 13; a = g + 10; o = y + 16; g = s + 4; y = x + 16; s = 5. Given that s = 5, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 20", "i": "l + 9", "c": "i + 12", "t": "c + 13", "o": "t + 15", "e": "o + 13", "s": "f + 18", "q": "s + 15", "a": "q + 13", "v": "a + 14", "r": "v + 1", "m": "r + 14", "f": 11}, "premises": {"f": 11}, "target": "e"}, "answer": {"steps": [["o", "t + 15", "t + 28"], ["t", "c + 13", "c + 41"], ["c", "i + 12", "i + 53"], ["i", "l + 9", "l + 62"], ["l", "f + 20", "f + 82"], ["f", 11, "93"]], "target_var_name": "e", "target_value": 93, "value_dict": {"f": 11}, "is_reverse": true}} | 16,810 | 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 = s + 15; v = a + 14; i = l + 9; m = r + 14; o = t + 15; a = q + 13; t = c + 13; c = i + 12; e = o + 13; r = v + 1; s = f + 18; l = f + 20; f = 11. If f = 11, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 15 to e, which gives e = t + 28.\n2. Substitute t = c + 13 to e, which gives e = c + 41.\n3. Substitute c = i + 12 to e, which gives e = i + 53.\n4. Substitute i = l + 9 to e, which gives e = l + 62.\n5. Substitute l = f + 20 to e, which gives e = f + 82.\n6. Substitute f = 11 to e, which gives e = 93.\n\nThus, the final answer is e = \\boxed{93}.",
"index": 16810,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = s + 15; v = a + 14; i = l + 9; m = r + 14; o = t + 15; a = q + 13; t = c + 13; c = i + 12; e = o + 13; r = v + 1; s = f + 18; l = f + 20; f = 11. If f = 11, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 13", "d": "p + 17", "f": "d + 13", "c": "f + 8", "k": "c + 15", "s": "k + 20", "r": "o + 8", "l": "r + 15", "h": "l + 2", "j": "h + 20", "t": "j + 18", "z": "t + 6", "o": 4}, "premises": {"o": 4}, "target": "s"}, "answer": {"steps": [["k", "c + 15", "c + 35"], ["c", "f + 8", "f + 43"], ["f", "d + 13", "d + 56"], ["d", "p + 17", "p + 73"], ["p", "o + 13", "o + 86"], ["o", 4, "90"]], "target_var_name": "s", "target_value": 90, "value_dict": {"o": 4}, "is_reverse": true}} | 16,811 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = l + 2; z = t + 6; t = j + 18; r = o + 8; s = k + 20; p = o + 13; j = h + 20; c = f + 8; l = r + 15; f = d + 13; k = c + 15; d = p + 17; o = 4. If o = 4, determine the 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 k = c + 15 to s, which gives s = c + 35.\n2. Substitute c = f + 8 to s, which gives s = f + 43.\n3. Substitute f = d + 13 to s, which gives s = d + 56.\n4. Substitute d = p + 17 to s, which gives s = p + 73.\n5. Substitute p = o + 13 to s, which gives s = o + 86.\n6. Substitute o = 4 to s, which gives s = 90.\n\nThus, the final answer is s = \\boxed{90}.",
"index": 16811,
"question": "Consider a system of variables where each variable is defined as follows: h = l + 2; z = t + 6; t = j + 18; r = o + 8; s = k + 20; p = o + 13; j = h + 20; c = f + 8; l = r + 15; f = d + 13; k = c + 15; d = p + 17; o = 4. If o = 4, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"b": "z + 3", "x": "b + 6", "y": "x + 1", "p": "y + 2", "e": "p + 14", "k": "e + 6", "c": "z + 3", "v": "c + 11", "t": "v + 9", "q": "t + 13", "o": "q + 17", "w": "o + 11", "z": 10}, "premises": {"z": 10}, "target": "k"}, "answer": {"steps": [["e", "p + 14", "p + 20"], ["p", "y + 2", "y + 22"], ["y", "x + 1", "x + 23"], ["x", "b + 6", "b + 29"], ["b", "z + 3", "z + 32"], ["z", 10, "42"]], "target_var_name": "k", "target_value": 42, "value_dict": {"z": 10}, "is_reverse": true}} | 16,812 | 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 = v + 9; v = c + 11; k = e + 6; x = b + 6; b = z + 3; z = 10; c = z + 3; p = y + 2; w = o + 11; q = t + 13; y = x + 1; e = p + 14; o = q + 17. If z = 10, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 14 to k, which gives k = p + 20.\n2. Substitute p = y + 2 to k, which gives k = y + 22.\n3. Substitute y = x + 1 to k, which gives k = x + 23.\n4. Substitute x = b + 6 to k, which gives k = b + 29.\n5. Substitute b = z + 3 to k, which gives k = z + 32.\n6. Substitute z = 10 to k, which gives k = 42.\n\nThus, the final answer is k = \\boxed{42}.",
"index": 16812,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = v + 9; v = c + 11; k = e + 6; x = b + 6; b = z + 3; z = 10; c = z + 3; p = y + 2; w = o + 11; q = t + 13; y = x + 1; e = p + 14; o = q + 17. If z = 10, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 7", "v": "x + 13", "b": "v + 11", "s": "b + 4", "t": "s + 8", "a": "t + 2", "m": "n + 4", "l": "m + 16", "q": "l + 12", "w": "q + 8", "e": "w + 9", "i": "e + 4", "n": 18}, "premises": {"n": 18}, "target": "a"}, "answer": {"steps": [["t", "s + 8", "s + 10"], ["s", "b + 4", "b + 14"], ["b", "v + 11", "v + 25"], ["v", "x + 13", "x + 38"], ["x", "n + 7", "n + 45"], ["n", 18, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"n": 18}, "is_reverse": true}} | 16,813 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = s + 8; a = t + 2; w = q + 8; n = 18; m = n + 4; s = b + 4; e = w + 9; l = m + 16; x = n + 7; b = v + 11; i = e + 4; v = x + 13; q = l + 12. Given that n = 18, find 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 t = s + 8 to a, which gives a = s + 10.\n2. Substitute s = b + 4 to a, which gives a = b + 14.\n3. Substitute b = v + 11 to a, which gives a = v + 25.\n4. Substitute v = x + 13 to a, which gives a = x + 38.\n5. Substitute x = n + 7 to a, which gives a = n + 45.\n6. Substitute n = 18 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 16813,
"question": "Suppose a collection of variables is related by the following definitions: t = s + 8; a = t + 2; w = q + 8; n = 18; m = n + 4; s = b + 4; e = w + 9; l = m + 16; x = n + 7; b = v + 11; i = e + 4; v = x + 13; q = l + 12. Given that n = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"v": "y + 2", "e": "v + 15", "f": "e + 9", "a": "f + 4", "h": "a + 9", "t": "h + 8", "c": "y + 1", "m": "c + 4", "o": "m + 11", "s": "o + 18", "l": "s + 15", "u": "l + 4", "y": 13}, "premises": {"y": 13}, "target": "t"}, "answer": {"steps": [["h", "a + 9", "a + 17"], ["a", "f + 4", "f + 21"], ["f", "e + 9", "e + 30"], ["e", "v + 15", "v + 45"], ["v", "y + 2", "y + 47"], ["y", 13, "60"]], "target_var_name": "t", "target_value": 60, "value_dict": {"y": 13}, "is_reverse": true}} | 16,814 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = c + 4; a = f + 4; l = s + 15; o = m + 11; c = y + 1; y = 13; e = v + 15; v = y + 2; h = a + 9; s = o + 18; u = l + 4; t = h + 8; f = e + 9. If y = 13, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 9 to t, which gives t = a + 17.\n2. Substitute a = f + 4 to t, which gives t = f + 21.\n3. Substitute f = e + 9 to t, which gives t = e + 30.\n4. Substitute e = v + 15 to t, which gives t = v + 45.\n5. Substitute v = y + 2 to t, which gives t = y + 47.\n6. Substitute y = 13 to t, which gives t = 60.\n\nThus, the final answer is t = \\boxed{60}.",
"index": 16814,
"question": "Consider a system of variables where each variable is defined as follows: m = c + 4; a = f + 4; l = s + 15; o = m + 11; c = y + 1; y = 13; e = v + 15; v = y + 2; h = a + 9; s = o + 18; u = l + 4; t = h + 8; f = e + 9. If y = 13, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"h": "k + 12", "z": "h + 18", "a": "z + 11", "e": "a + 17", "r": "e + 20", "d": "r + 5", "j": "k + 5", "o": "j + 8", "s": "o + 11", "t": "s + 3", "w": "t + 15", "i": "w + 2", "k": 8}, "premises": {"k": 8}, "target": "d"}, "answer": {"steps": [["r", "e + 20", "e + 25"], ["e", "a + 17", "a + 42"], ["a", "z + 11", "z + 53"], ["z", "h + 18", "h + 71"], ["h", "k + 12", "k + 83"], ["k", 8, "91"]], "target_var_name": "d", "target_value": 91, "value_dict": {"k": 8}, "is_reverse": true}} | 16,815 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = r + 5; r = e + 20; k = 8; z = h + 18; h = k + 12; w = t + 15; i = w + 2; s = o + 11; e = a + 17; t = s + 3; a = z + 11; j = k + 5; o = j + 8. Given that k = 8, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 20 to d, which gives d = e + 25.\n2. Substitute e = a + 17 to d, which gives d = a + 42.\n3. Substitute a = z + 11 to d, which gives d = z + 53.\n4. Substitute z = h + 18 to d, which gives d = h + 71.\n5. Substitute h = k + 12 to d, which gives d = k + 83.\n6. Substitute k = 8 to d, which gives d = 91.\n\nThus, the final answer is d = \\boxed{91}.",
"index": 16815,
"question": "Suppose a collection of variables is related by the following definitions: d = r + 5; r = e + 20; k = 8; z = h + 18; h = k + 12; w = t + 15; i = w + 2; s = o + 11; e = a + 17; t = s + 3; a = z + 11; j = k + 5; o = j + 8. Given that k = 8, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 9", "x": "g + 16", "y": "x + 14", "w": "y + 10", "d": "w + 13", "h": "d + 5", "a": "i + 1", "t": "a + 14", "q": "t + 8", "f": "q + 5", "k": "f + 13", "p": "k + 2", "i": 12}, "premises": {"i": 12}, "target": "h"}, "answer": {"steps": [["d", "w + 13", "w + 18"], ["w", "y + 10", "y + 28"], ["y", "x + 14", "x + 42"], ["x", "g + 16", "g + 58"], ["g", "i + 9", "i + 67"], ["i", 12, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"i": 12}, "is_reverse": true}} | 16,816 | 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 = x + 14; p = k + 2; i = 12; g = i + 9; f = q + 5; h = d + 5; w = y + 10; k = f + 13; a = i + 1; x = g + 16; q = t + 8; d = w + 13; t = a + 14. If i = 12, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 13 to h, which gives h = w + 18.\n2. Substitute w = y + 10 to h, which gives h = y + 28.\n3. Substitute y = x + 14 to h, which gives h = x + 42.\n4. Substitute x = g + 16 to h, which gives h = g + 58.\n5. Substitute g = i + 9 to h, which gives h = i + 67.\n6. Substitute i = 12 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 16816,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 14; p = k + 2; i = 12; g = i + 9; f = q + 5; h = d + 5; w = y + 10; k = f + 13; a = i + 1; x = g + 16; q = t + 8; d = w + 13; t = a + 14. If i = 12, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 10", "s": "q + 5", "h": "s + 7", "z": "h + 1", "n": "z + 2", "c": "n + 15", "o": "y + 12", "i": "o + 6", "t": "i + 8", "f": "t + 13", "j": "f + 4", "l": "j + 15", "y": 2}, "premises": {"y": 2}, "target": "c"}, "answer": {"steps": [["n", "z + 2", "z + 17"], ["z", "h + 1", "h + 18"], ["h", "s + 7", "s + 25"], ["s", "q + 5", "q + 30"], ["q", "y + 10", "y + 40"], ["y", 2, "42"]], "target_var_name": "c", "target_value": 42, "value_dict": {"y": 2}, "is_reverse": true}} | 16,817 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = y + 12; i = o + 6; q = y + 10; s = q + 5; c = n + 15; z = h + 1; h = s + 7; n = z + 2; l = j + 15; j = f + 4; t = i + 8; f = t + 13; y = 2. Given that y = 2, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 2 to c, which gives c = z + 17.\n2. Substitute z = h + 1 to c, which gives c = h + 18.\n3. Substitute h = s + 7 to c, which gives c = s + 25.\n4. Substitute s = q + 5 to c, which gives c = q + 30.\n5. Substitute q = y + 10 to c, which gives c = y + 40.\n6. Substitute y = 2 to c, which gives c = 42.\n\nThus, the final answer is c = \\boxed{42}.",
"index": 16817,
"question": "Suppose a collection of variables is related by the following definitions: o = y + 12; i = o + 6; q = y + 10; s = q + 5; c = n + 15; z = h + 1; h = s + 7; n = z + 2; l = j + 15; j = f + 4; t = i + 8; f = t + 13; y = 2. Given that y = 2, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 15", "r": "j + 8", "w": "r + 8", "p": "w + 20", "v": "p + 9", "l": "v + 18", "d": "i + 16", "s": "d + 6", "a": "s + 11", "e": "a + 20", "x": "e + 5", "m": "x + 2", "i": 15}, "premises": {"i": 15}, "target": "l"}, "answer": {"steps": [["v", "p + 9", "p + 27"], ["p", "w + 20", "w + 47"], ["w", "r + 8", "r + 55"], ["r", "j + 8", "j + 63"], ["j", "i + 15", "i + 78"], ["i", 15, "93"]], "target_var_name": "l", "target_value": 93, "value_dict": {"i": 15}, "is_reverse": true}} | 16,818 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = i + 16; j = i + 15; i = 15; v = p + 9; l = v + 18; x = e + 5; p = w + 20; s = d + 6; a = s + 11; w = r + 8; e = a + 20; r = j + 8; m = x + 2. If i = 15, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 9 to l, which gives l = p + 27.\n2. Substitute p = w + 20 to l, which gives l = w + 47.\n3. Substitute w = r + 8 to l, which gives l = r + 55.\n4. Substitute r = j + 8 to l, which gives l = j + 63.\n5. Substitute j = i + 15 to l, which gives l = i + 78.\n6. Substitute i = 15 to l, which gives l = 93.\n\nThus, the final answer is l = \\boxed{93}.",
"index": 16818,
"question": "Consider a system of variables where each variable is defined as follows: d = i + 16; j = i + 15; i = 15; v = p + 9; l = v + 18; x = e + 5; p = w + 20; s = d + 6; a = s + 11; w = r + 8; e = a + 20; r = j + 8; m = x + 2. If i = 15, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 16", "i": "z + 18", "w": "i + 13", "s": "w + 8", "p": "s + 18", "e": "p + 2", "c": "b + 5", "v": "c + 10", "y": "v + 17", "x": "y + 2", "f": "x + 19", "k": "f + 12", "b": 17}, "premises": {"b": 17}, "target": "e"}, "answer": {"steps": [["p", "s + 18", "s + 20"], ["s", "w + 8", "w + 28"], ["w", "i + 13", "i + 41"], ["i", "z + 18", "z + 59"], ["z", "b + 16", "b + 75"], ["b", 17, "92"]], "target_var_name": "e", "target_value": 92, "value_dict": {"b": 17}, "is_reverse": true}} | 16,819 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = x + 19; s = w + 8; x = y + 2; y = v + 17; c = b + 5; b = 17; w = i + 13; z = b + 16; p = s + 18; i = z + 18; e = p + 2; k = f + 12; v = c + 10. Given that b = 17, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 18 to e, which gives e = s + 20.\n2. Substitute s = w + 8 to e, which gives e = w + 28.\n3. Substitute w = i + 13 to e, which gives e = i + 41.\n4. Substitute i = z + 18 to e, which gives e = z + 59.\n5. Substitute z = b + 16 to e, which gives e = b + 75.\n6. Substitute b = 17 to e, which gives e = 92.\n\nThus, the final answer is e = \\boxed{92}.",
"index": 16819,
"question": "Suppose a collection of variables is related by the following definitions: f = x + 19; s = w + 8; x = y + 2; y = v + 17; c = b + 5; b = 17; w = i + 13; z = b + 16; p = s + 18; i = z + 18; e = p + 2; k = f + 12; v = c + 10. Given that b = 17, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 14", "u": "z + 3", "c": "u + 1", "b": "c + 20", "w": "b + 7", "t": "w + 13", "v": "d + 7", "a": "v + 11", "e": "a + 2", "p": "e + 5", "o": "p + 15", "n": "o + 9", "d": 10}, "premises": {"d": 10}, "target": "t"}, "answer": {"steps": [["w", "b + 7", "b + 20"], ["b", "c + 20", "c + 40"], ["c", "u + 1", "u + 41"], ["u", "z + 3", "z + 44"], ["z", "d + 14", "d + 58"], ["d", 10, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"d": 10}, "is_reverse": true}} | 16,820 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = d + 14; e = a + 2; t = w + 13; u = z + 3; c = u + 1; n = o + 9; v = d + 7; w = b + 7; p = e + 5; o = p + 15; d = 10; a = v + 11; b = c + 20. Given that d = 10, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 7 to t, which gives t = b + 20.\n2. Substitute b = c + 20 to t, which gives t = c + 40.\n3. Substitute c = u + 1 to t, which gives t = u + 41.\n4. Substitute u = z + 3 to t, which gives t = z + 44.\n5. Substitute z = d + 14 to t, which gives t = d + 58.\n6. Substitute d = 10 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 16820,
"question": "Suppose a collection of variables is related by the following definitions: z = d + 14; e = a + 2; t = w + 13; u = z + 3; c = u + 1; n = o + 9; v = d + 7; w = b + 7; p = e + 5; o = p + 15; d = 10; a = v + 11; b = c + 20. Given that d = 10, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 10", "i": "e + 13", "r": "i + 13", "a": "r + 1", "m": "a + 9", "p": "m + 3", "g": "b + 4", "u": "g + 6", "w": "u + 5", "x": "w + 7", "o": "x + 12", "h": "o + 7", "b": 7}, "premises": {"b": 7}, "target": "p"}, "answer": {"steps": [["m", "a + 9", "a + 12"], ["a", "r + 1", "r + 13"], ["r", "i + 13", "i + 26"], ["i", "e + 13", "e + 39"], ["e", "b + 10", "b + 49"], ["b", 7, "56"]], "target_var_name": "p", "target_value": 56, "value_dict": {"b": 7}, "is_reverse": true}} | 16,821 | 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 = m + 3; x = w + 7; o = x + 12; h = o + 7; i = e + 13; w = u + 5; e = b + 10; u = g + 6; g = b + 4; m = a + 9; b = 7; a = r + 1; r = i + 13. If b = 7, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 9 to p, which gives p = a + 12.\n2. Substitute a = r + 1 to p, which gives p = r + 13.\n3. Substitute r = i + 13 to p, which gives p = i + 26.\n4. Substitute i = e + 13 to p, which gives p = e + 39.\n5. Substitute e = b + 10 to p, which gives p = b + 49.\n6. Substitute b = 7 to p, which gives p = 56.\n\nThus, the final answer is p = \\boxed{56}.",
"index": 16821,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = m + 3; x = w + 7; o = x + 12; h = o + 7; i = e + 13; w = u + 5; e = b + 10; u = g + 6; g = b + 4; m = a + 9; b = 7; a = r + 1; r = i + 13. If b = 7, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 15", "z": "g + 12", "v": "z + 13", "o": "v + 4", "i": "o + 13", "a": "i + 14", "c": "l + 15", "u": "c + 14", "q": "u + 1", "m": "q + 12", "t": "m + 16", "p": "t + 12", "l": 14}, "premises": {"l": 14}, "target": "a"}, "answer": {"steps": [["i", "o + 13", "o + 27"], ["o", "v + 4", "v + 31"], ["v", "z + 13", "z + 44"], ["z", "g + 12", "g + 56"], ["g", "l + 15", "l + 71"], ["l", 14, "85"]], "target_var_name": "a", "target_value": 85, "value_dict": {"l": 14}, "is_reverse": true}} | 16,822 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 13; a = i + 14; z = g + 12; m = q + 12; l = 14; p = t + 12; u = c + 14; g = l + 15; o = v + 4; v = z + 13; c = l + 15; q = u + 1; t = m + 16. If l = 14, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 13 to a, which gives a = o + 27.\n2. Substitute o = v + 4 to a, which gives a = v + 31.\n3. Substitute v = z + 13 to a, which gives a = z + 44.\n4. Substitute z = g + 12 to a, which gives a = g + 56.\n5. Substitute g = l + 15 to a, which gives a = l + 71.\n6. Substitute l = 14 to a, which gives a = 85.\n\nThus, the final answer is a = \\boxed{85}.",
"index": 16822,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 13; a = i + 14; z = g + 12; m = q + 12; l = 14; p = t + 12; u = c + 14; g = l + 15; o = v + 4; v = z + 13; c = l + 15; q = u + 1; t = m + 16. If l = 14, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 20", "s": "e + 20", "k": "s + 1", "d": "k + 14", "u": "d + 9", "g": "u + 17", "x": "r + 11", "t": "x + 17", "w": "t + 15", "z": "w + 13", "y": "z + 8", "o": "y + 13", "r": 9}, "premises": {"r": 9}, "target": "g"}, "answer": {"steps": [["u", "d + 9", "d + 26"], ["d", "k + 14", "k + 40"], ["k", "s + 1", "s + 41"], ["s", "e + 20", "e + 61"], ["e", "r + 20", "r + 81"], ["r", 9, "90"]], "target_var_name": "g", "target_value": 90, "value_dict": {"r": 9}, "is_reverse": true}} | 16,823 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = u + 17; r = 9; e = r + 20; u = d + 9; o = y + 13; t = x + 17; z = w + 13; w = t + 15; d = k + 14; s = e + 20; y = z + 8; k = s + 1; x = r + 11. If r = 9, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 9 to g, which gives g = d + 26.\n2. Substitute d = k + 14 to g, which gives g = k + 40.\n3. Substitute k = s + 1 to g, which gives g = s + 41.\n4. Substitute s = e + 20 to g, which gives g = e + 61.\n5. Substitute e = r + 20 to g, which gives g = r + 81.\n6. Substitute r = 9 to g, which gives g = 90.\n\nThus, the final answer is g = \\boxed{90}.",
"index": 16823,
"question": "Consider a system of variables where each variable is defined as follows: g = u + 17; r = 9; e = r + 20; u = d + 9; o = y + 13; t = x + 17; z = w + 13; w = t + 15; d = k + 14; s = e + 20; y = z + 8; k = s + 1; x = r + 11. If r = 9, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 7", "g": "i + 14", "p": "g + 19", "r": "p + 19", "h": "r + 13", "s": "h + 18", "t": "q + 18", "l": "t + 12", "n": "l + 20", "v": "n + 3", "f": "v + 5", "z": "f + 3", "q": 6}, "premises": {"q": 6}, "target": "s"}, "answer": {"steps": [["h", "r + 13", "r + 31"], ["r", "p + 19", "p + 50"], ["p", "g + 19", "g + 69"], ["g", "i + 14", "i + 83"], ["i", "q + 7", "q + 90"], ["q", 6, "96"]], "target_var_name": "s", "target_value": 96, "value_dict": {"q": 6}, "is_reverse": true}} | 16,824 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = l + 20; i = q + 7; v = n + 3; t = q + 18; g = i + 14; r = p + 19; p = g + 19; f = v + 5; q = 6; z = f + 3; h = r + 13; s = h + 18; l = t + 12. If q = 6, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 13 to s, which gives s = r + 31.\n2. Substitute r = p + 19 to s, which gives s = p + 50.\n3. Substitute p = g + 19 to s, which gives s = g + 69.\n4. Substitute g = i + 14 to s, which gives s = i + 83.\n5. Substitute i = q + 7 to s, which gives s = q + 90.\n6. Substitute q = 6 to s, which gives s = 96.\n\nThus, the final answer is s = \\boxed{96}.",
"index": 16824,
"question": "Consider a system of variables where each variable is defined as follows: n = l + 20; i = q + 7; v = n + 3; t = q + 18; g = i + 14; r = p + 19; p = g + 19; f = v + 5; q = 6; z = f + 3; h = r + 13; s = h + 18; l = t + 12. If q = 6, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 7", "f": "k + 3", "d": "f + 7", "c": "d + 20", "t": "c + 6", "m": "t + 14", "w": "q + 8", "s": "w + 2", "i": "s + 13", "u": "i + 20", "l": "u + 14", "r": "l + 9", "q": 16}, "premises": {"q": 16}, "target": "m"}, "answer": {"steps": [["t", "c + 6", "c + 20"], ["c", "d + 20", "d + 40"], ["d", "f + 7", "f + 47"], ["f", "k + 3", "k + 50"], ["k", "q + 7", "q + 57"], ["q", 16, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"q": 16}, "is_reverse": true}} | 16,825 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = l + 9; d = f + 7; l = u + 14; c = d + 20; s = w + 2; t = c + 6; i = s + 13; q = 16; w = q + 8; k = q + 7; m = t + 14; f = k + 3; u = i + 20. Given that q = 16, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 6 to m, which gives m = c + 20.\n2. Substitute c = d + 20 to m, which gives m = d + 40.\n3. Substitute d = f + 7 to m, which gives m = f + 47.\n4. Substitute f = k + 3 to m, which gives m = k + 50.\n5. Substitute k = q + 7 to m, which gives m = q + 57.\n6. Substitute q = 16 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 16825,
"question": "Suppose a collection of variables is related by the following definitions: r = l + 9; d = f + 7; l = u + 14; c = d + 20; s = w + 2; t = c + 6; i = s + 13; q = 16; w = q + 8; k = q + 7; m = t + 14; f = k + 3; u = i + 20. Given that q = 16, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 3", "z": "l + 13", "u": "z + 7", "p": "u + 4", "y": "p + 9", "i": "y + 16", "a": "w + 20", "n": "a + 1", "d": "n + 10", "v": "d + 7", "r": "v + 13", "b": "r + 14", "w": 7}, "premises": {"w": 7}, "target": "i"}, "answer": {"steps": [["y", "p + 9", "p + 25"], ["p", "u + 4", "u + 29"], ["u", "z + 7", "z + 36"], ["z", "l + 13", "l + 49"], ["l", "w + 3", "w + 52"], ["w", 7, "59"]], "target_var_name": "i", "target_value": 59, "value_dict": {"w": 7}, "is_reverse": true}} | 16,826 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = n + 10; l = w + 3; u = z + 7; p = u + 4; z = l + 13; a = w + 20; i = y + 16; b = r + 14; y = p + 9; v = d + 7; r = v + 13; n = a + 1; w = 7. If w = 7, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 9 to i, which gives i = p + 25.\n2. Substitute p = u + 4 to i, which gives i = u + 29.\n3. Substitute u = z + 7 to i, which gives i = z + 36.\n4. Substitute z = l + 13 to i, which gives i = l + 49.\n5. Substitute l = w + 3 to i, which gives i = w + 52.\n6. Substitute w = 7 to i, which gives i = 59.\n\nThus, the final answer is i = \\boxed{59}.",
"index": 16826,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = n + 10; l = w + 3; u = z + 7; p = u + 4; z = l + 13; a = w + 20; i = y + 16; b = r + 14; y = p + 9; v = d + 7; r = v + 13; n = a + 1; w = 7. If w = 7, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"m": "d + 14", "t": "m + 8", "u": "t + 5", "b": "u + 11", "i": "b + 11", "c": "i + 11", "k": "d + 9", "r": "k + 14", "q": "r + 1", "e": "q + 5", "h": "e + 15", "v": "h + 19", "d": 10}, "premises": {"d": 10}, "target": "c"}, "answer": {"steps": [["i", "b + 11", "b + 22"], ["b", "u + 11", "u + 33"], ["u", "t + 5", "t + 38"], ["t", "m + 8", "m + 46"], ["m", "d + 14", "d + 60"], ["d", 10, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"d": 10}, "is_reverse": true}} | 16,827 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = k + 14; m = d + 14; h = e + 15; e = q + 5; t = m + 8; v = h + 19; k = d + 9; c = i + 11; q = r + 1; b = u + 11; d = 10; u = t + 5; i = b + 11. If d = 10, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 11 to c, which gives c = b + 22.\n2. Substitute b = u + 11 to c, which gives c = u + 33.\n3. Substitute u = t + 5 to c, which gives c = t + 38.\n4. Substitute t = m + 8 to c, which gives c = m + 46.\n5. Substitute m = d + 14 to c, which gives c = d + 60.\n6. Substitute d = 10 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 16827,
"question": "Consider a system of variables where each variable is defined as follows: r = k + 14; m = d + 14; h = e + 15; e = q + 5; t = m + 8; v = h + 19; k = d + 9; c = i + 11; q = r + 1; b = u + 11; d = 10; u = t + 5; i = b + 11. If d = 10, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 5", "e": "p + 1", "a": "e + 20", "w": "a + 5", "o": "w + 15", "d": "o + 18", "u": "g + 7", "r": "u + 5", "m": "r + 12", "h": "m + 14", "c": "h + 6", "v": "c + 12", "g": 11}, "premises": {"g": 11}, "target": "d"}, "answer": {"steps": [["o", "w + 15", "w + 33"], ["w", "a + 5", "a + 38"], ["a", "e + 20", "e + 58"], ["e", "p + 1", "p + 59"], ["p", "g + 5", "g + 64"], ["g", 11, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"g": 11}, "is_reverse": true}} | 16,828 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = e + 20; w = a + 5; p = g + 5; r = u + 5; e = p + 1; m = r + 12; c = h + 6; g = 11; h = m + 14; d = o + 18; o = w + 15; v = c + 12; u = g + 7. Given that g = 11, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 15 to d, which gives d = w + 33.\n2. Substitute w = a + 5 to d, which gives d = a + 38.\n3. Substitute a = e + 20 to d, which gives d = e + 58.\n4. Substitute e = p + 1 to d, which gives d = p + 59.\n5. Substitute p = g + 5 to d, which gives d = g + 64.\n6. Substitute g = 11 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 16828,
"question": "Suppose a collection of variables is related by the following definitions: a = e + 20; w = a + 5; p = g + 5; r = u + 5; e = p + 1; m = r + 12; c = h + 6; g = 11; h = m + 14; d = o + 18; o = w + 15; v = c + 12; u = g + 7. Given that g = 11, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 20", "z": "c + 14", "r": "z + 9", "v": "r + 17", "f": "v + 11", "e": "f + 6", "u": "p + 4", "h": "u + 11", "a": "h + 8", "q": "a + 13", "k": "q + 8", "m": "k + 10", "p": 19}, "premises": {"p": 19}, "target": "e"}, "answer": {"steps": [["f", "v + 11", "v + 17"], ["v", "r + 17", "r + 34"], ["r", "z + 9", "z + 43"], ["z", "c + 14", "c + 57"], ["c", "p + 20", "p + 77"], ["p", 19, "96"]], "target_var_name": "e", "target_value": 96, "value_dict": {"p": 19}, "is_reverse": true}} | 16,829 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 4; r = z + 9; v = r + 17; k = q + 8; f = v + 11; h = u + 11; m = k + 10; p = 19; c = p + 20; a = h + 8; q = a + 13; z = c + 14; e = f + 6. If p = 19, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 11 to e, which gives e = v + 17.\n2. Substitute v = r + 17 to e, which gives e = r + 34.\n3. Substitute r = z + 9 to e, which gives e = z + 43.\n4. Substitute z = c + 14 to e, which gives e = c + 57.\n5. Substitute c = p + 20 to e, which gives e = p + 77.\n6. Substitute p = 19 to e, which gives e = 96.\n\nThus, the final answer is e = \\boxed{96}.",
"index": 16829,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 4; r = z + 9; v = r + 17; k = q + 8; f = v + 11; h = u + 11; m = k + 10; p = 19; c = p + 20; a = h + 8; q = a + 13; z = c + 14; e = f + 6. If p = 19, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 14", "u": "v + 6", "k": "u + 13", "j": "k + 4", "y": "j + 8", "l": "y + 5", "h": "i + 10", "z": "h + 14", "a": "z + 20", "n": "a + 9", "d": "n + 1", "m": "d + 12", "i": 10}, "premises": {"i": 10}, "target": "l"}, "answer": {"steps": [["y", "j + 8", "j + 13"], ["j", "k + 4", "k + 17"], ["k", "u + 13", "u + 30"], ["u", "v + 6", "v + 36"], ["v", "i + 14", "i + 50"], ["i", 10, "60"]], "target_var_name": "l", "target_value": 60, "value_dict": {"i": 10}, "is_reverse": true}} | 16,830 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = d + 12; u = v + 6; z = h + 14; k = u + 13; h = i + 10; d = n + 1; y = j + 8; i = 10; n = a + 9; a = z + 20; v = i + 14; j = k + 4; l = y + 5. Given that i = 10, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 8 to l, which gives l = j + 13.\n2. Substitute j = k + 4 to l, which gives l = k + 17.\n3. Substitute k = u + 13 to l, which gives l = u + 30.\n4. Substitute u = v + 6 to l, which gives l = v + 36.\n5. Substitute v = i + 14 to l, which gives l = i + 50.\n6. Substitute i = 10 to l, which gives l = 60.\n\nThus, the final answer is l = \\boxed{60}.",
"index": 16830,
"question": "Suppose a collection of variables is related by the following definitions: m = d + 12; u = v + 6; z = h + 14; k = u + 13; h = i + 10; d = n + 1; y = j + 8; i = 10; n = a + 9; a = z + 20; v = i + 14; j = k + 4; l = y + 5. Given that i = 10, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 19", "s": "z + 2", "t": "s + 18", "l": "t + 14", "h": "l + 16", "g": "h + 14", "r": "k + 12", "f": "r + 3", "c": "f + 18", "o": "c + 11", "m": "o + 16", "x": "m + 19", "k": 8}, "premises": {"k": 8}, "target": "g"}, "answer": {"steps": [["h", "l + 16", "l + 30"], ["l", "t + 14", "t + 44"], ["t", "s + 18", "s + 62"], ["s", "z + 2", "z + 64"], ["z", "k + 19", "k + 83"], ["k", 8, "91"]], "target_var_name": "g", "target_value": 91, "value_dict": {"k": 8}, "is_reverse": true}} | 16,831 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 11; l = t + 14; x = m + 19; g = h + 14; k = 8; z = k + 19; c = f + 18; t = s + 18; h = l + 16; m = o + 16; s = z + 2; f = r + 3; r = k + 12. If k = 8, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 16 to g, which gives g = l + 30.\n2. Substitute l = t + 14 to g, which gives g = t + 44.\n3. Substitute t = s + 18 to g, which gives g = s + 62.\n4. Substitute s = z + 2 to g, which gives g = z + 64.\n5. Substitute z = k + 19 to g, which gives g = k + 83.\n6. Substitute k = 8 to g, which gives g = 91.\n\nThus, the final answer is g = \\boxed{91}.",
"index": 16831,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 11; l = t + 14; x = m + 19; g = h + 14; k = 8; z = k + 19; c = f + 18; t = s + 18; h = l + 16; m = o + 16; s = z + 2; f = r + 3; r = k + 12. If k = 8, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 11", "m": "x + 6", "g": "m + 4", "r": "g + 20", "y": "r + 16", "u": "y + 2", "t": "l + 20", "z": "t + 16", "a": "z + 18", "w": "a + 1", "v": "w + 17", "c": "v + 10", "l": 19}, "premises": {"l": 19}, "target": "u"}, "answer": {"steps": [["y", "r + 16", "r + 18"], ["r", "g + 20", "g + 38"], ["g", "m + 4", "m + 42"], ["m", "x + 6", "x + 48"], ["x", "l + 11", "l + 59"], ["l", 19, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"l": 19}, "is_reverse": true}} | 16,832 | 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 = 19; g = m + 4; z = t + 16; t = l + 20; x = l + 11; c = v + 10; u = y + 2; a = z + 18; m = x + 6; v = w + 17; y = r + 16; r = g + 20; w = a + 1. If l = 19, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 16 to u, which gives u = r + 18.\n2. Substitute r = g + 20 to u, which gives u = g + 38.\n3. Substitute g = m + 4 to u, which gives u = m + 42.\n4. Substitute m = x + 6 to u, which gives u = x + 48.\n5. Substitute x = l + 11 to u, which gives u = l + 59.\n6. Substitute l = 19 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 16832,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 19; g = m + 4; z = t + 16; t = l + 20; x = l + 11; c = v + 10; u = y + 2; a = z + 18; m = x + 6; v = w + 17; y = r + 16; r = g + 20; w = a + 1. If l = 19, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"y": "x + 4", "f": "y + 6", "j": "f + 12", "b": "j + 4", "i": "b + 19", "c": "i + 3", "z": "x + 10", "u": "z + 2", "n": "u + 11", "e": "n + 4", "w": "e + 18", "h": "w + 5", "x": 3}, "premises": {"x": 3}, "target": "c"}, "answer": {"steps": [["i", "b + 19", "b + 22"], ["b", "j + 4", "j + 26"], ["j", "f + 12", "f + 38"], ["f", "y + 6", "y + 44"], ["y", "x + 4", "x + 48"], ["x", 3, "51"]], "target_var_name": "c", "target_value": 51, "value_dict": {"x": 3}, "is_reverse": true}} | 16,833 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 6; b = j + 4; c = i + 3; w = e + 18; n = u + 11; y = x + 4; j = f + 12; i = b + 19; x = 3; h = w + 5; u = z + 2; z = x + 10; e = n + 4. If x = 3, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 19 to c, which gives c = b + 22.\n2. Substitute b = j + 4 to c, which gives c = j + 26.\n3. Substitute j = f + 12 to c, which gives c = f + 38.\n4. Substitute f = y + 6 to c, which gives c = y + 44.\n5. Substitute y = x + 4 to c, which gives c = x + 48.\n6. Substitute x = 3 to c, which gives c = 51.\n\nThus, the final answer is c = \\boxed{51}.",
"index": 16833,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 6; b = j + 4; c = i + 3; w = e + 18; n = u + 11; y = x + 4; j = f + 12; i = b + 19; x = 3; h = w + 5; u = z + 2; z = x + 10; e = n + 4. If x = 3, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 6", "m": "k + 15", "x": "m + 8", "l": "x + 19", "i": "l + 5", "n": "i + 6", "e": "s + 5", "z": "e + 2", "a": "z + 18", "r": "a + 16", "u": "r + 12", "q": "u + 14", "s": 12}, "premises": {"s": 12}, "target": "n"}, "answer": {"steps": [["i", "l + 5", "l + 11"], ["l", "x + 19", "x + 30"], ["x", "m + 8", "m + 38"], ["m", "k + 15", "k + 53"], ["k", "s + 6", "s + 59"], ["s", 12, "71"]], "target_var_name": "n", "target_value": 71, "value_dict": {"s": 12}, "is_reverse": true}} | 16,834 | 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 = x + 19; a = z + 18; x = m + 8; r = a + 16; n = i + 6; i = l + 5; z = e + 2; e = s + 5; m = k + 15; u = r + 12; q = u + 14; s = 12; k = s + 6. If s = 12, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 5 to n, which gives n = l + 11.\n2. Substitute l = x + 19 to n, which gives n = x + 30.\n3. Substitute x = m + 8 to n, which gives n = m + 38.\n4. Substitute m = k + 15 to n, which gives n = k + 53.\n5. Substitute k = s + 6 to n, which gives n = s + 59.\n6. Substitute s = 12 to n, which gives n = 71.\n\nThus, the final answer is n = \\boxed{71}.",
"index": 16834,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = x + 19; a = z + 18; x = m + 8; r = a + 16; n = i + 6; i = l + 5; z = e + 2; e = s + 5; m = k + 15; u = r + 12; q = u + 14; s = 12; k = s + 6. If s = 12, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"e": "v + 19", "a": "e + 4", "s": "a + 9", "z": "s + 20", "u": "z + 3", "i": "u + 13", "j": "v + 11", "b": "j + 15", "m": "b + 20", "o": "m + 16", "d": "o + 8", "p": "d + 11", "v": 19}, "premises": {"v": 19}, "target": "i"}, "answer": {"steps": [["u", "z + 3", "z + 16"], ["z", "s + 20", "s + 36"], ["s", "a + 9", "a + 45"], ["a", "e + 4", "e + 49"], ["e", "v + 19", "v + 68"], ["v", 19, "87"]], "target_var_name": "i", "target_value": 87, "value_dict": {"v": 19}, "is_reverse": true}} | 16,835 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 16; u = z + 3; i = u + 13; s = a + 9; z = s + 20; m = b + 20; a = e + 4; j = v + 11; e = v + 19; p = d + 11; v = 19; b = j + 15; d = o + 8. If v = 19, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 3 to i, which gives i = z + 16.\n2. Substitute z = s + 20 to i, which gives i = s + 36.\n3. Substitute s = a + 9 to i, which gives i = a + 45.\n4. Substitute a = e + 4 to i, which gives i = e + 49.\n5. Substitute e = v + 19 to i, which gives i = v + 68.\n6. Substitute v = 19 to i, which gives i = 87.\n\nThus, the final answer is i = \\boxed{87}.",
"index": 16835,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 16; u = z + 3; i = u + 13; s = a + 9; z = s + 20; m = b + 20; a = e + 4; j = v + 11; e = v + 19; p = d + 11; v = 19; b = j + 15; d = o + 8. If v = 19, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 8", "e": "c + 20", "f": "e + 18", "g": "f + 1", "x": "g + 16", "s": "x + 4", "p": "l + 8", "u": "p + 4", "a": "u + 5", "m": "a + 7", "y": "m + 6", "h": "y + 10", "l": 19}, "premises": {"l": 19}, "target": "s"}, "answer": {"steps": [["x", "g + 16", "g + 20"], ["g", "f + 1", "f + 21"], ["f", "e + 18", "e + 39"], ["e", "c + 20", "c + 59"], ["c", "l + 8", "l + 67"], ["l", 19, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"l": 19}, "is_reverse": true}} | 16,836 | 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 = y + 10; x = g + 16; a = u + 5; f = e + 18; c = l + 8; g = f + 1; e = c + 20; u = p + 4; l = 19; m = a + 7; s = x + 4; y = m + 6; p = l + 8. If l = 19, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 16 to s, which gives s = g + 20.\n2. Substitute g = f + 1 to s, which gives s = f + 21.\n3. Substitute f = e + 18 to s, which gives s = e + 39.\n4. Substitute e = c + 20 to s, which gives s = c + 59.\n5. Substitute c = l + 8 to s, which gives s = l + 67.\n6. Substitute l = 19 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 16836,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = y + 10; x = g + 16; a = u + 5; f = e + 18; c = l + 8; g = f + 1; e = c + 20; u = p + 4; l = 19; m = a + 7; s = x + 4; y = m + 6; p = l + 8. If l = 19, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 7", "x": "o + 15", "l": "x + 5", "h": "l + 3", "t": "h + 18", "c": "t + 8", "y": "r + 1", "e": "y + 3", "a": "e + 16", "d": "a + 9", "b": "d + 13", "q": "b + 7", "r": 19}, "premises": {"r": 19}, "target": "c"}, "answer": {"steps": [["t", "h + 18", "h + 26"], ["h", "l + 3", "l + 29"], ["l", "x + 5", "x + 34"], ["x", "o + 15", "o + 49"], ["o", "r + 7", "r + 56"], ["r", 19, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"r": 19}, "is_reverse": true}} | 16,837 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = b + 7; y = r + 1; h = l + 3; x = o + 15; e = y + 3; l = x + 5; b = d + 13; o = r + 7; c = t + 8; t = h + 18; a = e + 16; r = 19; d = a + 9. If r = 19, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 18 to c, which gives c = h + 26.\n2. Substitute h = l + 3 to c, which gives c = l + 29.\n3. Substitute l = x + 5 to c, which gives c = x + 34.\n4. Substitute x = o + 15 to c, which gives c = o + 49.\n5. Substitute o = r + 7 to c, which gives c = r + 56.\n6. Substitute r = 19 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 16837,
"question": "Consider a system of variables where each variable is defined as follows: q = b + 7; y = r + 1; h = l + 3; x = o + 15; e = y + 3; l = x + 5; b = d + 13; o = r + 7; c = t + 8; t = h + 18; a = e + 16; r = 19; d = a + 9. If r = 19, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"u": "y + 1", "v": "u + 1", "b": "v + 5", "m": "b + 2", "g": "m + 16", "k": "g + 14", "t": "y + 12", "o": "t + 16", "w": "o + 11", "n": "w + 17", "e": "n + 8", "s": "e + 5", "y": 9}, "premises": {"y": 9}, "target": "k"}, "answer": {"steps": [["g", "m + 16", "m + 30"], ["m", "b + 2", "b + 32"], ["b", "v + 5", "v + 37"], ["v", "u + 1", "u + 38"], ["u", "y + 1", "y + 39"], ["y", 9, "48"]], "target_var_name": "k", "target_value": 48, "value_dict": {"y": 9}, "is_reverse": true}} | 16,838 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = g + 14; m = b + 2; b = v + 5; o = t + 16; y = 9; n = w + 17; u = y + 1; s = e + 5; v = u + 1; e = n + 8; t = y + 12; w = o + 11; g = m + 16. Given that y = 9, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 16 to k, which gives k = m + 30.\n2. Substitute m = b + 2 to k, which gives k = b + 32.\n3. Substitute b = v + 5 to k, which gives k = v + 37.\n4. Substitute v = u + 1 to k, which gives k = u + 38.\n5. Substitute u = y + 1 to k, which gives k = y + 39.\n6. Substitute y = 9 to k, which gives k = 48.\n\nThus, the final answer is k = \\boxed{48}.",
"index": 16838,
"question": "Suppose a collection of variables is related by the following definitions: k = g + 14; m = b + 2; b = v + 5; o = t + 16; y = 9; n = w + 17; u = y + 1; s = e + 5; v = u + 1; e = n + 8; t = y + 12; w = o + 11; g = m + 16. Given that y = 9, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"y": "t + 1", "c": "y + 16", "w": "c + 6", "r": "w + 9", "a": "r + 18", "k": "a + 18", "l": "t + 18", "n": "l + 2", "f": "n + 17", "h": "f + 7", "o": "h + 8", "i": "o + 17", "t": 10}, "premises": {"t": 10}, "target": "k"}, "answer": {"steps": [["a", "r + 18", "r + 36"], ["r", "w + 9", "w + 45"], ["w", "c + 6", "c + 51"], ["c", "y + 16", "y + 67"], ["y", "t + 1", "t + 68"], ["t", 10, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"t": 10}, "is_reverse": true}} | 16,839 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = t + 18; a = r + 18; h = f + 7; y = t + 1; k = a + 18; c = y + 16; n = l + 2; o = h + 8; r = w + 9; f = n + 17; i = o + 17; w = c + 6; t = 10. Given that t = 10, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 18 to k, which gives k = r + 36.\n2. Substitute r = w + 9 to k, which gives k = w + 45.\n3. Substitute w = c + 6 to k, which gives k = c + 51.\n4. Substitute c = y + 16 to k, which gives k = y + 67.\n5. Substitute y = t + 1 to k, which gives k = t + 68.\n6. Substitute t = 10 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 16839,
"question": "Suppose a collection of variables is related by the following definitions: l = t + 18; a = r + 18; h = f + 7; y = t + 1; k = a + 18; c = y + 16; n = l + 2; o = h + 8; r = w + 9; f = n + 17; i = o + 17; w = c + 6; t = 10. Given that t = 10, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 5", "r": "x + 19", "b": "r + 16", "c": "b + 5", "w": "c + 2", "h": "w + 9", "o": "v + 18", "a": "o + 11", "f": "a + 10", "i": "f + 2", "n": "i + 16", "u": "n + 20", "v": 18}, "premises": {"v": 18}, "target": "h"}, "answer": {"steps": [["w", "c + 2", "c + 11"], ["c", "b + 5", "b + 16"], ["b", "r + 16", "r + 32"], ["r", "x + 19", "x + 51"], ["x", "v + 5", "v + 56"], ["v", 18, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"v": 18}, "is_reverse": true}} | 16,840 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 5; w = c + 2; a = o + 11; h = w + 9; c = b + 5; o = v + 18; n = i + 16; b = r + 16; f = a + 10; v = 18; r = x + 19; u = n + 20; i = f + 2. If v = 18, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 2 to h, which gives h = c + 11.\n2. Substitute c = b + 5 to h, which gives h = b + 16.\n3. Substitute b = r + 16 to h, which gives h = r + 32.\n4. Substitute r = x + 19 to h, which gives h = x + 51.\n5. Substitute x = v + 5 to h, which gives h = v + 56.\n6. Substitute v = 18 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 16840,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 5; w = c + 2; a = o + 11; h = w + 9; c = b + 5; o = v + 18; n = i + 16; b = r + 16; f = a + 10; v = 18; r = x + 19; u = n + 20; i = f + 2. If v = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 18", "h": "q + 18", "k": "h + 19", "c": "k + 11", "a": "c + 12", "f": "a + 1", "d": "o + 15", "n": "d + 8", "e": "n + 17", "y": "e + 11", "u": "y + 19", "b": "u + 4", "o": 12}, "premises": {"o": 12}, "target": "f"}, "answer": {"steps": [["a", "c + 12", "c + 13"], ["c", "k + 11", "k + 24"], ["k", "h + 19", "h + 43"], ["h", "q + 18", "q + 61"], ["q", "o + 18", "o + 79"], ["o", 12, "91"]], "target_var_name": "f", "target_value": 91, "value_dict": {"o": 12}, "is_reverse": true}} | 16,841 | 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 = o + 18; n = d + 8; b = u + 4; k = h + 19; a = c + 12; f = a + 1; e = n + 17; o = 12; y = e + 11; u = y + 19; h = q + 18; d = o + 15; c = k + 11. If o = 12, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 12 to f, which gives f = c + 13.\n2. Substitute c = k + 11 to f, which gives f = k + 24.\n3. Substitute k = h + 19 to f, which gives f = h + 43.\n4. Substitute h = q + 18 to f, which gives f = q + 61.\n5. Substitute q = o + 18 to f, which gives f = o + 79.\n6. Substitute o = 12 to f, which gives f = 91.\n\nThus, the final answer is f = \\boxed{91}.",
"index": 16841,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = o + 18; n = d + 8; b = u + 4; k = h + 19; a = c + 12; f = a + 1; e = n + 17; o = 12; y = e + 11; u = y + 19; h = q + 18; d = o + 15; c = k + 11. If o = 12, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"t": "h + 2", "j": "t + 6", "x": "j + 4", "i": "x + 16", "c": "i + 15", "v": "c + 13", "l": "h + 16", "w": "l + 16", "s": "w + 9", "z": "s + 14", "y": "z + 19", "r": "y + 13", "h": 12}, "premises": {"h": 12}, "target": "v"}, "answer": {"steps": [["c", "i + 15", "i + 28"], ["i", "x + 16", "x + 44"], ["x", "j + 4", "j + 48"], ["j", "t + 6", "t + 54"], ["t", "h + 2", "h + 56"], ["h", 12, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"h": 12}, "is_reverse": true}} | 16,842 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 4; t = h + 2; r = y + 13; i = x + 16; s = w + 9; z = s + 14; h = 12; j = t + 6; v = c + 13; l = h + 16; y = z + 19; w = l + 16; c = i + 15. If h = 12, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 15 to v, which gives v = i + 28.\n2. Substitute i = x + 16 to v, which gives v = x + 44.\n3. Substitute x = j + 4 to v, which gives v = j + 48.\n4. Substitute j = t + 6 to v, which gives v = t + 54.\n5. Substitute t = h + 2 to v, which gives v = h + 56.\n6. Substitute h = 12 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 16842,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 4; t = h + 2; r = y + 13; i = x + 16; s = w + 9; z = s + 14; h = 12; j = t + 6; v = c + 13; l = h + 16; y = z + 19; w = l + 16; c = i + 15. If h = 12, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"l": "j + 20", "h": "l + 17", "q": "h + 3", "u": "q + 13", "d": "u + 13", "t": "d + 17", "n": "j + 12", "p": "n + 16", "k": "p + 7", "f": "k + 3", "v": "f + 2", "b": "v + 9", "j": 16}, "premises": {"j": 16}, "target": "t"}, "answer": {"steps": [["d", "u + 13", "u + 30"], ["u", "q + 13", "q + 43"], ["q", "h + 3", "h + 46"], ["h", "l + 17", "l + 63"], ["l", "j + 20", "j + 83"], ["j", 16, "99"]], "target_var_name": "t", "target_value": 99, "value_dict": {"j": 16}, "is_reverse": true}} | 16,843 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = l + 17; f = k + 3; b = v + 9; k = p + 7; u = q + 13; t = d + 17; j = 16; p = n + 16; d = u + 13; q = h + 3; v = f + 2; l = j + 20; n = j + 12. If j = 16, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 13 to t, which gives t = u + 30.\n2. Substitute u = q + 13 to t, which gives t = q + 43.\n3. Substitute q = h + 3 to t, which gives t = h + 46.\n4. Substitute h = l + 17 to t, which gives t = l + 63.\n5. Substitute l = j + 20 to t, which gives t = j + 83.\n6. Substitute j = 16 to t, which gives t = 99.\n\nThus, the final answer is t = \\boxed{99}.",
"index": 16843,
"question": "Consider a system of variables where each variable is defined as follows: h = l + 17; f = k + 3; b = v + 9; k = p + 7; u = q + 13; t = d + 17; j = 16; p = n + 16; d = u + 13; q = h + 3; v = f + 2; l = j + 20; n = j + 12. If j = 16, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"l": "a + 2", "z": "l + 6", "q": "z + 4", "y": "q + 4", "v": "y + 6", "j": "v + 20", "g": "a + 15", "i": "g + 16", "e": "i + 19", "f": "e + 16", "c": "f + 9", "o": "c + 15", "a": 11}, "premises": {"a": 11}, "target": "j"}, "answer": {"steps": [["v", "y + 6", "y + 26"], ["y", "q + 4", "q + 30"], ["q", "z + 4", "z + 34"], ["z", "l + 6", "l + 40"], ["l", "a + 2", "a + 42"], ["a", 11, "53"]], "target_var_name": "j", "target_value": 53, "value_dict": {"a": 11}, "is_reverse": true}} | 16,844 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = i + 19; o = c + 15; f = e + 16; y = q + 4; c = f + 9; a = 11; j = v + 20; v = y + 6; q = z + 4; i = g + 16; z = l + 6; g = a + 15; l = a + 2. Given that a = 11, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 6 to j, which gives j = y + 26.\n2. Substitute y = q + 4 to j, which gives j = q + 30.\n3. Substitute q = z + 4 to j, which gives j = z + 34.\n4. Substitute z = l + 6 to j, which gives j = l + 40.\n5. Substitute l = a + 2 to j, which gives j = a + 42.\n6. Substitute a = 11 to j, which gives j = 53.\n\nThus, the final answer is j = \\boxed{53}.",
"index": 16844,
"question": "Suppose a collection of variables is related by the following definitions: e = i + 19; o = c + 15; f = e + 16; y = q + 4; c = f + 9; a = 11; j = v + 20; v = y + 6; q = z + 4; i = g + 16; z = l + 6; g = a + 15; l = a + 2. Given that a = 11, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"x": "c + 18", "d": "x + 1", "b": "d + 5", "j": "b + 1", "l": "j + 1", "o": "l + 4", "s": "c + 19", "w": "s + 11", "f": "w + 18", "t": "f + 5", "p": "t + 15", "u": "p + 7", "c": 13}, "premises": {"c": 13}, "target": "o"}, "answer": {"steps": [["l", "j + 1", "j + 5"], ["j", "b + 1", "b + 6"], ["b", "d + 5", "d + 11"], ["d", "x + 1", "x + 12"], ["x", "c + 18", "c + 30"], ["c", 13, "43"]], "target_var_name": "o", "target_value": 43, "value_dict": {"c": 13}, "is_reverse": true}} | 16,845 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = p + 7; p = t + 15; x = c + 18; b = d + 5; o = l + 4; j = b + 1; c = 13; w = s + 11; d = x + 1; f = w + 18; l = j + 1; s = c + 19; t = f + 5. Given that c = 13, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 1 to o, which gives o = j + 5.\n2. Substitute j = b + 1 to o, which gives o = b + 6.\n3. Substitute b = d + 5 to o, which gives o = d + 11.\n4. Substitute d = x + 1 to o, which gives o = x + 12.\n5. Substitute x = c + 18 to o, which gives o = c + 30.\n6. Substitute c = 13 to o, which gives o = 43.\n\nThus, the final answer is o = \\boxed{43}.",
"index": 16845,
"question": "Suppose a collection of variables is related by the following definitions: u = p + 7; p = t + 15; x = c + 18; b = d + 5; o = l + 4; j = b + 1; c = 13; w = s + 11; d = x + 1; f = w + 18; l = j + 1; s = c + 19; t = f + 5. Given that c = 13, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 13", "i": "n + 2", "z": "i + 10", "k": "z + 1", "e": "k + 17", "w": "e + 20", "t": "a + 17", "c": "t + 16", "p": "c + 18", "y": "p + 3", "v": "y + 8", "u": "v + 20", "a": 5}, "premises": {"a": 5}, "target": "w"}, "answer": {"steps": [["e", "k + 17", "k + 37"], ["k", "z + 1", "z + 38"], ["z", "i + 10", "i + 48"], ["i", "n + 2", "n + 50"], ["n", "a + 13", "a + 63"], ["a", 5, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"a": 5}, "is_reverse": true}} | 16,846 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = 5; i = n + 2; v = y + 8; t = a + 17; k = z + 1; n = a + 13; p = c + 18; z = i + 10; u = v + 20; y = p + 3; c = t + 16; w = e + 20; e = k + 17. If a = 5, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 17 to w, which gives w = k + 37.\n2. Substitute k = z + 1 to w, which gives w = z + 38.\n3. Substitute z = i + 10 to w, which gives w = i + 48.\n4. Substitute i = n + 2 to w, which gives w = n + 50.\n5. Substitute n = a + 13 to w, which gives w = a + 63.\n6. Substitute a = 5 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 16846,
"question": "Consider a system of variables where each variable is defined as follows: a = 5; i = n + 2; v = y + 8; t = a + 17; k = z + 1; n = a + 13; p = c + 18; z = i + 10; u = v + 20; y = p + 3; c = t + 16; w = e + 20; e = k + 17. If a = 5, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "a + 8", "h": "l + 13", "t": "h + 18", "z": "t + 2", "k": "z + 17", "m": "k + 18", "g": "a + 12", "d": "g + 14", "i": "d + 1", "u": "i + 14", "n": "u + 17", "v": "n + 1", "a": 16}, "premises": {"a": 16}, "target": "m"}, "answer": {"steps": [["k", "z + 17", "z + 35"], ["z", "t + 2", "t + 37"], ["t", "h + 18", "h + 55"], ["h", "l + 13", "l + 68"], ["l", "a + 8", "a + 76"], ["a", 16, "92"]], "target_var_name": "m", "target_value": 92, "value_dict": {"a": 16}, "is_reverse": true}} | 16,847 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = k + 18; h = l + 13; d = g + 14; a = 16; l = a + 8; u = i + 14; k = z + 17; i = d + 1; z = t + 2; t = h + 18; n = u + 17; g = a + 12; v = n + 1. If a = 16, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 17 to m, which gives m = z + 35.\n2. Substitute z = t + 2 to m, which gives m = t + 37.\n3. Substitute t = h + 18 to m, which gives m = h + 55.\n4. Substitute h = l + 13 to m, which gives m = l + 68.\n5. Substitute l = a + 8 to m, which gives m = a + 76.\n6. Substitute a = 16 to m, which gives m = 92.\n\nThus, the final answer is m = \\boxed{92}.",
"index": 16847,
"question": "Consider a system of variables where each variable is defined as follows: m = k + 18; h = l + 13; d = g + 14; a = 16; l = a + 8; u = i + 14; k = z + 17; i = d + 1; z = t + 2; t = h + 18; n = u + 17; g = a + 12; v = n + 1. If a = 16, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 14", "w": "k + 4", "n": "w + 11", "o": "n + 6", "h": "o + 11", "d": "h + 1", "i": "v + 16", "c": "i + 18", "m": "c + 10", "y": "m + 3", "q": "y + 14", "a": "q + 6", "v": 16}, "premises": {"v": 16}, "target": "d"}, "answer": {"steps": [["h", "o + 11", "o + 12"], ["o", "n + 6", "n + 18"], ["n", "w + 11", "w + 29"], ["w", "k + 4", "k + 33"], ["k", "v + 14", "v + 47"], ["v", 16, "63"]], "target_var_name": "d", "target_value": 63, "value_dict": {"v": 16}, "is_reverse": true}} | 16,848 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = o + 11; d = h + 1; y = m + 3; a = q + 6; q = y + 14; c = i + 18; w = k + 4; m = c + 10; n = w + 11; i = v + 16; k = v + 14; o = n + 6; v = 16. If v = 16, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 11 to d, which gives d = o + 12.\n2. Substitute o = n + 6 to d, which gives d = n + 18.\n3. Substitute n = w + 11 to d, which gives d = w + 29.\n4. Substitute w = k + 4 to d, which gives d = k + 33.\n5. Substitute k = v + 14 to d, which gives d = v + 47.\n6. Substitute v = 16 to d, which gives d = 63.\n\nThus, the final answer is d = \\boxed{63}.",
"index": 16848,
"question": "Consider a system of variables where each variable is defined as follows: h = o + 11; d = h + 1; y = m + 3; a = q + 6; q = y + 14; c = i + 18; w = k + 4; m = c + 10; n = w + 11; i = v + 16; k = v + 14; o = n + 6; v = 16. If v = 16, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 7", "n": "y + 18", "x": "n + 3", "p": "x + 9", "c": "p + 7", "f": "c + 19", "h": "s + 9", "u": "h + 5", "z": "u + 4", "k": "z + 6", "t": "k + 12", "j": "t + 7", "s": 12}, "premises": {"s": 12}, "target": "f"}, "answer": {"steps": [["c", "p + 7", "p + 26"], ["p", "x + 9", "x + 35"], ["x", "n + 3", "n + 38"], ["n", "y + 18", "y + 56"], ["y", "s + 7", "s + 63"], ["s", 12, "75"]], "target_var_name": "f", "target_value": 75, "value_dict": {"s": 12}, "is_reverse": true}} | 16,849 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = c + 19; z = u + 4; y = s + 7; j = t + 7; t = k + 12; s = 12; k = z + 6; p = x + 9; h = s + 9; n = y + 18; u = h + 5; x = n + 3; c = p + 7. If s = 12, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 7 to f, which gives f = p + 26.\n2. Substitute p = x + 9 to f, which gives f = x + 35.\n3. Substitute x = n + 3 to f, which gives f = n + 38.\n4. Substitute n = y + 18 to f, which gives f = y + 56.\n5. Substitute y = s + 7 to f, which gives f = s + 63.\n6. Substitute s = 12 to f, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 16849,
"question": "Consider a system of variables where each variable is defined as follows: f = c + 19; z = u + 4; y = s + 7; j = t + 7; t = k + 12; s = 12; k = z + 6; p = x + 9; h = s + 9; n = y + 18; u = h + 5; x = n + 3; c = p + 7. If s = 12, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 16", "v": "t + 8", "u": "v + 2", "f": "u + 3", "q": "f + 9", "b": "q + 2", "a": "k + 19", "i": "a + 1", "j": "i + 13", "w": "j + 10", "r": "w + 20", "c": "r + 7", "k": 4}, "premises": {"k": 4}, "target": "b"}, "answer": {"steps": [["q", "f + 9", "f + 11"], ["f", "u + 3", "u + 14"], ["u", "v + 2", "v + 16"], ["v", "t + 8", "t + 24"], ["t", "k + 16", "k + 40"], ["k", 4, "44"]], "target_var_name": "b", "target_value": 44, "value_dict": {"k": 4}, "is_reverse": true}} | 16,850 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = v + 2; c = r + 7; i = a + 1; a = k + 19; v = t + 8; k = 4; r = w + 20; w = j + 10; j = i + 13; q = f + 9; b = q + 2; t = k + 16; f = u + 3. If k = 4, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 9 to b, which gives b = f + 11.\n2. Substitute f = u + 3 to b, which gives b = u + 14.\n3. Substitute u = v + 2 to b, which gives b = v + 16.\n4. Substitute v = t + 8 to b, which gives b = t + 24.\n5. Substitute t = k + 16 to b, which gives b = k + 40.\n6. Substitute k = 4 to b, which gives b = 44.\n\nThus, the final answer is b = \\boxed{44}.",
"index": 16850,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = v + 2; c = r + 7; i = a + 1; a = k + 19; v = t + 8; k = 4; r = w + 20; w = j + 10; j = i + 13; q = f + 9; b = q + 2; t = k + 16; f = u + 3. If k = 4, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 15", "z": "l + 10", "m": "z + 4", "n": "m + 5", "j": "n + 5", "x": "j + 2", "i": "b + 13", "o": "i + 17", "h": "o + 14", "r": "h + 14", "t": "r + 6", "a": "t + 17", "b": 9}, "premises": {"b": 9}, "target": "x"}, "answer": {"steps": [["j", "n + 5", "n + 7"], ["n", "m + 5", "m + 12"], ["m", "z + 4", "z + 16"], ["z", "l + 10", "l + 26"], ["l", "b + 15", "b + 41"], ["b", 9, "50"]], "target_var_name": "x", "target_value": 50, "value_dict": {"b": 9}, "is_reverse": true}} | 16,851 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 2; i = b + 13; h = o + 14; r = h + 14; b = 9; m = z + 4; z = l + 10; t = r + 6; a = t + 17; j = n + 5; o = i + 17; n = m + 5; l = b + 15. If b = 9, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 5 to x, which gives x = n + 7.\n2. Substitute n = m + 5 to x, which gives x = m + 12.\n3. Substitute m = z + 4 to x, which gives x = z + 16.\n4. Substitute z = l + 10 to x, which gives x = l + 26.\n5. Substitute l = b + 15 to x, which gives x = b + 41.\n6. Substitute b = 9 to x, which gives x = 50.\n\nThus, the final answer is x = \\boxed{50}.",
"index": 16851,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 2; i = b + 13; h = o + 14; r = h + 14; b = 9; m = z + 4; z = l + 10; t = r + 6; a = t + 17; j = n + 5; o = i + 17; n = m + 5; l = b + 15. If b = 9, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"t": "r + 14", "h": "t + 2", "q": "h + 6", "y": "q + 12", "x": "y + 16", "l": "x + 9", "g": "r + 20", "v": "g + 10", "b": "v + 17", "s": "b + 19", "p": "s + 15", "w": "p + 3", "r": 16}, "premises": {"r": 16}, "target": "l"}, "answer": {"steps": [["x", "y + 16", "y + 25"], ["y", "q + 12", "q + 37"], ["q", "h + 6", "h + 43"], ["h", "t + 2", "t + 45"], ["t", "r + 14", "r + 59"], ["r", 16, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"r": 16}, "is_reverse": true}} | 16,852 | 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 = x + 9; b = v + 17; p = s + 15; r = 16; h = t + 2; t = r + 14; w = p + 3; x = y + 16; y = q + 12; q = h + 6; s = b + 19; v = g + 10; g = r + 20. If r = 16, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 16 to l, which gives l = y + 25.\n2. Substitute y = q + 12 to l, which gives l = q + 37.\n3. Substitute q = h + 6 to l, which gives l = h + 43.\n4. Substitute h = t + 2 to l, which gives l = t + 45.\n5. Substitute t = r + 14 to l, which gives l = r + 59.\n6. Substitute r = 16 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 16852,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = x + 9; b = v + 17; p = s + 15; r = 16; h = t + 2; t = r + 14; w = p + 3; x = y + 16; y = q + 12; q = h + 6; s = b + 19; v = g + 10; g = r + 20. If r = 16, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 6", "m": "k + 4", "d": "m + 14", "h": "d + 10", "s": "h + 16", "u": "s + 12", "b": "n + 19", "f": "b + 18", "t": "f + 13", "a": "t + 6", "e": "a + 11", "o": "e + 14", "n": 12}, "premises": {"n": 12}, "target": "u"}, "answer": {"steps": [["s", "h + 16", "h + 28"], ["h", "d + 10", "d + 38"], ["d", "m + 14", "m + 52"], ["m", "k + 4", "k + 56"], ["k", "n + 6", "n + 62"], ["n", 12, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"n": 12}, "is_reverse": true}} | 16,853 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 16; b = n + 19; k = n + 6; h = d + 10; f = b + 18; t = f + 13; o = e + 14; n = 12; e = a + 11; u = s + 12; m = k + 4; a = t + 6; d = m + 14. If n = 12, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 16 to u, which gives u = h + 28.\n2. Substitute h = d + 10 to u, which gives u = d + 38.\n3. Substitute d = m + 14 to u, which gives u = m + 52.\n4. Substitute m = k + 4 to u, which gives u = k + 56.\n5. Substitute k = n + 6 to u, which gives u = n + 62.\n6. Substitute n = 12 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 16853,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 16; b = n + 19; k = n + 6; h = d + 10; f = b + 18; t = f + 13; o = e + 14; n = 12; e = a + 11; u = s + 12; m = k + 4; a = t + 6; d = m + 14. If n = 12, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"g": "k + 18", "p": "g + 17", "x": "p + 2", "r": "x + 19", "a": "r + 15", "h": "a + 15", "t": "k + 5", "f": "t + 13", "n": "f + 9", "o": "n + 17", "j": "o + 7", "m": "j + 20", "k": 12}, "premises": {"k": 12}, "target": "h"}, "answer": {"steps": [["a", "r + 15", "r + 30"], ["r", "x + 19", "x + 49"], ["x", "p + 2", "p + 51"], ["p", "g + 17", "g + 68"], ["g", "k + 18", "k + 86"], ["k", 12, "98"]], "target_var_name": "h", "target_value": 98, "value_dict": {"k": 12}, "is_reverse": true}} | 16,854 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = k + 18; o = n + 17; a = r + 15; k = 12; x = p + 2; r = x + 19; n = f + 9; j = o + 7; p = g + 17; m = j + 20; f = t + 13; t = k + 5; h = a + 15. If k = 12, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 15 to h, which gives h = r + 30.\n2. Substitute r = x + 19 to h, which gives h = x + 49.\n3. Substitute x = p + 2 to h, which gives h = p + 51.\n4. Substitute p = g + 17 to h, which gives h = g + 68.\n5. Substitute g = k + 18 to h, which gives h = k + 86.\n6. Substitute k = 12 to h, which gives h = 98.\n\nThus, the final answer is h = \\boxed{98}.",
"index": 16854,
"question": "Consider a system of variables where each variable is defined as follows: g = k + 18; o = n + 17; a = r + 15; k = 12; x = p + 2; r = x + 19; n = f + 9; j = o + 7; p = g + 17; m = j + 20; f = t + 13; t = k + 5; h = a + 15. If k = 12, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"p": "w + 14", "q": "p + 5", "m": "q + 11", "o": "m + 6", "u": "o + 3", "i": "u + 18", "k": "w + 18", "y": "k + 4", "c": "y + 1", "a": "c + 7", "b": "a + 11", "t": "b + 11", "w": 3}, "premises": {"w": 3}, "target": "i"}, "answer": {"steps": [["u", "o + 3", "o + 21"], ["o", "m + 6", "m + 27"], ["m", "q + 11", "q + 38"], ["q", "p + 5", "p + 43"], ["p", "w + 14", "w + 57"], ["w", 3, "60"]], "target_var_name": "i", "target_value": 60, "value_dict": {"w": 3}, "is_reverse": true}} | 16,855 | 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 = u + 18; m = q + 11; u = o + 3; k = w + 18; y = k + 4; a = c + 7; b = a + 11; q = p + 5; c = y + 1; w = 3; p = w + 14; t = b + 11; o = m + 6. If w = 3, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 3 to i, which gives i = o + 21.\n2. Substitute o = m + 6 to i, which gives i = m + 27.\n3. Substitute m = q + 11 to i, which gives i = q + 38.\n4. Substitute q = p + 5 to i, which gives i = p + 43.\n5. Substitute p = w + 14 to i, which gives i = w + 57.\n6. Substitute w = 3 to i, which gives i = 60.\n\nThus, the final answer is i = \\boxed{60}.",
"index": 16855,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = u + 18; m = q + 11; u = o + 3; k = w + 18; y = k + 4; a = c + 7; b = a + 11; q = p + 5; c = y + 1; w = 3; p = w + 14; t = b + 11; o = m + 6. If w = 3, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 10", "w": "z + 6", "v": "w + 18", "h": "v + 2", "n": "h + 14", "o": "n + 15", "s": "f + 3", "u": "s + 11", "j": "u + 9", "m": "j + 19", "y": "m + 20", "p": "y + 6", "f": 1}, "premises": {"f": 1}, "target": "o"}, "answer": {"steps": [["n", "h + 14", "h + 29"], ["h", "v + 2", "v + 31"], ["v", "w + 18", "w + 49"], ["w", "z + 6", "z + 55"], ["z", "f + 10", "f + 65"], ["f", 1, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"f": 1}, "is_reverse": true}} | 16,856 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = 1; z = f + 10; s = f + 3; h = v + 2; u = s + 11; m = j + 19; o = n + 15; v = w + 18; w = z + 6; y = m + 20; p = y + 6; n = h + 14; j = u + 9. If f = 1, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 14 to o, which gives o = h + 29.\n2. Substitute h = v + 2 to o, which gives o = v + 31.\n3. Substitute v = w + 18 to o, which gives o = w + 49.\n4. Substitute w = z + 6 to o, which gives o = z + 55.\n5. Substitute z = f + 10 to o, which gives o = f + 65.\n6. Substitute f = 1 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 16856,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 1; z = f + 10; s = f + 3; h = v + 2; u = s + 11; m = j + 19; o = n + 15; v = w + 18; w = z + 6; y = m + 20; p = y + 6; n = h + 14; j = u + 9. If f = 1, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 2", "u": "q + 12", "r": "u + 10", "b": "r + 17", "y": "b + 6", "m": "y + 16", "i": "w + 4", "l": "i + 20", "h": "l + 4", "t": "h + 8", "c": "t + 10", "z": "c + 8", "w": 4}, "premises": {"w": 4}, "target": "m"}, "answer": {"steps": [["y", "b + 6", "b + 22"], ["b", "r + 17", "r + 39"], ["r", "u + 10", "u + 49"], ["u", "q + 12", "q + 61"], ["q", "w + 2", "w + 63"], ["w", 4, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"w": 4}, "is_reverse": true}} | 16,857 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = r + 17; i = w + 4; y = b + 6; r = u + 10; t = h + 8; m = y + 16; c = t + 10; q = w + 2; w = 4; l = i + 20; h = l + 4; z = c + 8; u = q + 12. If w = 4, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 6 to m, which gives m = b + 22.\n2. Substitute b = r + 17 to m, which gives m = r + 39.\n3. Substitute r = u + 10 to m, which gives m = u + 49.\n4. Substitute u = q + 12 to m, which gives m = q + 61.\n5. Substitute q = w + 2 to m, which gives m = w + 63.\n6. Substitute w = 4 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 16857,
"question": "Consider a system of variables where each variable is defined as follows: b = r + 17; i = w + 4; y = b + 6; r = u + 10; t = h + 8; m = y + 16; c = t + 10; q = w + 2; w = 4; l = i + 20; h = l + 4; z = c + 8; u = q + 12. If w = 4, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 17", "a": "g + 18", "r": "a + 7", "n": "r + 19", "p": "n + 18", "t": "p + 11", "o": "d + 14", "b": "o + 16", "v": "b + 4", "l": "v + 13", "h": "l + 4", "e": "h + 7", "d": 1}, "premises": {"d": 1}, "target": "t"}, "answer": {"steps": [["p", "n + 18", "n + 29"], ["n", "r + 19", "r + 48"], ["r", "a + 7", "a + 55"], ["a", "g + 18", "g + 73"], ["g", "d + 17", "d + 90"], ["d", 1, "91"]], "target_var_name": "t", "target_value": 91, "value_dict": {"d": 1}, "is_reverse": true}} | 16,858 | 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 = n + 18; h = l + 4; b = o + 16; v = b + 4; a = g + 18; o = d + 14; g = d + 17; l = v + 13; r = a + 7; t = p + 11; d = 1; n = r + 19; e = h + 7. If d = 1, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 18 to t, which gives t = n + 29.\n2. Substitute n = r + 19 to t, which gives t = r + 48.\n3. Substitute r = a + 7 to t, which gives t = a + 55.\n4. Substitute a = g + 18 to t, which gives t = g + 73.\n5. Substitute g = d + 17 to t, which gives t = d + 90.\n6. Substitute d = 1 to t, which gives t = 91.\n\nThus, the final answer is t = \\boxed{91}.",
"index": 16858,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = n + 18; h = l + 4; b = o + 16; v = b + 4; a = g + 18; o = d + 14; g = d + 17; l = v + 13; r = a + 7; t = p + 11; d = 1; n = r + 19; e = h + 7. If d = 1, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 8", "d": "o + 14", "q": "d + 18", "m": "q + 13", "g": "m + 10", "t": "g + 3", "z": "l + 12", "y": "z + 14", "v": "y + 4", "i": "v + 8", "j": "i + 20", "f": "j + 2", "l": 4}, "premises": {"l": 4}, "target": "t"}, "answer": {"steps": [["g", "m + 10", "m + 13"], ["m", "q + 13", "q + 26"], ["q", "d + 18", "d + 44"], ["d", "o + 14", "o + 58"], ["o", "l + 8", "l + 66"], ["l", 4, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"l": 4}, "is_reverse": true}} | 16,859 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = y + 4; z = l + 12; g = m + 10; i = v + 8; q = d + 18; t = g + 3; f = j + 2; d = o + 14; l = 4; y = z + 14; o = l + 8; m = q + 13; j = i + 20. If l = 4, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 10 to t, which gives t = m + 13.\n2. Substitute m = q + 13 to t, which gives t = q + 26.\n3. Substitute q = d + 18 to t, which gives t = d + 44.\n4. Substitute d = o + 14 to t, which gives t = o + 58.\n5. Substitute o = l + 8 to t, which gives t = l + 66.\n6. Substitute l = 4 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 16859,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = y + 4; z = l + 12; g = m + 10; i = v + 8; q = d + 18; t = g + 3; f = j + 2; d = o + 14; l = 4; y = z + 14; o = l + 8; m = q + 13; j = i + 20. If l = 4, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 11", "b": "r + 17", "p": "b + 8", "j": "p + 3", "t": "j + 7", "e": "t + 15", "o": "c + 15", "a": "o + 3", "y": "a + 19", "n": "y + 17", "d": "n + 15", "m": "d + 16", "c": 1}, "premises": {"c": 1}, "target": "e"}, "answer": {"steps": [["t", "j + 7", "j + 22"], ["j", "p + 3", "p + 25"], ["p", "b + 8", "b + 33"], ["b", "r + 17", "r + 50"], ["r", "c + 11", "c + 61"], ["c", 1, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"c": 1}, "is_reverse": true}} | 16,860 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = r + 17; r = c + 11; c = 1; a = o + 3; m = d + 16; j = p + 3; o = c + 15; y = a + 19; e = t + 15; p = b + 8; n = y + 17; d = n + 15; t = j + 7. If c = 1, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 7 to e, which gives e = j + 22.\n2. Substitute j = p + 3 to e, which gives e = p + 25.\n3. Substitute p = b + 8 to e, which gives e = b + 33.\n4. Substitute b = r + 17 to e, which gives e = r + 50.\n5. Substitute r = c + 11 to e, which gives e = c + 61.\n6. Substitute c = 1 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 16860,
"question": "Consider a system of variables where each variable is defined as follows: b = r + 17; r = c + 11; c = 1; a = o + 3; m = d + 16; j = p + 3; o = c + 15; y = a + 19; e = t + 15; p = b + 8; n = y + 17; d = n + 15; t = j + 7. If c = 1, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 19", "u": "c + 1", "l": "u + 7", "b": "l + 16", "n": "b + 3", "q": "n + 9", "h": "x + 10", "g": "h + 5", "v": "g + 6", "i": "v + 19", "r": "i + 13", "j": "r + 8", "x": 18}, "premises": {"x": 18}, "target": "q"}, "answer": {"steps": [["n", "b + 3", "b + 12"], ["b", "l + 16", "l + 28"], ["l", "u + 7", "u + 35"], ["u", "c + 1", "c + 36"], ["c", "x + 19", "x + 55"], ["x", 18, "73"]], "target_var_name": "q", "target_value": 73, "value_dict": {"x": 18}, "is_reverse": true}} | 16,861 | 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 = u + 7; x = 18; v = g + 6; r = i + 13; q = n + 9; i = v + 19; b = l + 16; n = b + 3; h = x + 10; g = h + 5; j = r + 8; u = c + 1; c = x + 19. If x = 18, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 3 to q, which gives q = b + 12.\n2. Substitute b = l + 16 to q, which gives q = l + 28.\n3. Substitute l = u + 7 to q, which gives q = u + 35.\n4. Substitute u = c + 1 to q, which gives q = c + 36.\n5. Substitute c = x + 19 to q, which gives q = x + 55.\n6. Substitute x = 18 to q, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 16861,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = u + 7; x = 18; v = g + 6; r = i + 13; q = n + 9; i = v + 19; b = l + 16; n = b + 3; h = x + 10; g = h + 5; j = r + 8; u = c + 1; c = x + 19. If x = 18, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"b": "l + 19", "v": "b + 6", "s": "v + 14", "j": "s + 15", "g": "j + 11", "w": "g + 12", "x": "l + 12", "i": "x + 16", "f": "i + 16", "t": "f + 6", "a": "t + 16", "c": "a + 8", "l": 15}, "premises": {"l": 15}, "target": "w"}, "answer": {"steps": [["g", "j + 11", "j + 23"], ["j", "s + 15", "s + 38"], ["s", "v + 14", "v + 52"], ["v", "b + 6", "b + 58"], ["b", "l + 19", "l + 77"], ["l", 15, "92"]], "target_var_name": "w", "target_value": 92, "value_dict": {"l": 15}, "is_reverse": true}} | 16,862 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = t + 16; s = v + 14; g = j + 11; i = x + 16; w = g + 12; c = a + 8; j = s + 15; x = l + 12; b = l + 19; l = 15; v = b + 6; f = i + 16; t = f + 6. Given that l = 15, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 11 to w, which gives w = j + 23.\n2. Substitute j = s + 15 to w, which gives w = s + 38.\n3. Substitute s = v + 14 to w, which gives w = v + 52.\n4. Substitute v = b + 6 to w, which gives w = b + 58.\n5. Substitute b = l + 19 to w, which gives w = l + 77.\n6. Substitute l = 15 to w, which gives w = 92.\n\nThus, the final answer is w = \\boxed{92}.",
"index": 16862,
"question": "Suppose a collection of variables is related by the following definitions: a = t + 16; s = v + 14; g = j + 11; i = x + 16; w = g + 12; c = a + 8; j = s + 15; x = l + 12; b = l + 19; l = 15; v = b + 6; f = i + 16; t = f + 6. Given that l = 15, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 9", "v": "g + 5", "x": "v + 20", "c": "x + 16", "n": "c + 17", "z": "n + 2", "e": "j + 3", "u": "e + 5", "r": "u + 15", "q": "r + 11", "p": "q + 12", "a": "p + 15", "j": 7}, "premises": {"j": 7}, "target": "z"}, "answer": {"steps": [["n", "c + 17", "c + 19"], ["c", "x + 16", "x + 35"], ["x", "v + 20", "v + 55"], ["v", "g + 5", "g + 60"], ["g", "j + 9", "j + 69"], ["j", 7, "76"]], "target_var_name": "z", "target_value": 76, "value_dict": {"j": 7}, "is_reverse": true}} | 16,863 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 20; a = p + 15; n = c + 17; v = g + 5; z = n + 2; r = u + 15; g = j + 9; p = q + 12; q = r + 11; c = x + 16; u = e + 5; j = 7; e = j + 3. If j = 7, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 17 to z, which gives z = c + 19.\n2. Substitute c = x + 16 to z, which gives z = x + 35.\n3. Substitute x = v + 20 to z, which gives z = v + 55.\n4. Substitute v = g + 5 to z, which gives z = g + 60.\n5. Substitute g = j + 9 to z, which gives z = j + 69.\n6. Substitute j = 7 to z, which gives z = 76.\n\nThus, the final answer is z = \\boxed{76}.",
"index": 16863,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 20; a = p + 15; n = c + 17; v = g + 5; z = n + 2; r = u + 15; g = j + 9; p = q + 12; q = r + 11; c = x + 16; u = e + 5; j = 7; e = j + 3. If j = 7, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 10", "r": "s + 10", "h": "r + 11", "q": "h + 7", "v": "q + 19", "g": "v + 7", "e": "p + 10", "m": "e + 5", "u": "m + 14", "c": "u + 11", "t": "c + 13", "k": "t + 18", "p": 13}, "premises": {"p": 13}, "target": "g"}, "answer": {"steps": [["v", "q + 19", "q + 26"], ["q", "h + 7", "h + 33"], ["h", "r + 11", "r + 44"], ["r", "s + 10", "s + 54"], ["s", "p + 10", "p + 64"], ["p", 13, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"p": 13}, "is_reverse": true}} | 16,864 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = m + 14; g = v + 7; t = c + 13; s = p + 10; e = p + 10; h = r + 11; p = 13; q = h + 7; v = q + 19; r = s + 10; c = u + 11; m = e + 5; k = t + 18. Given that p = 13, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 19 to g, which gives g = q + 26.\n2. Substitute q = h + 7 to g, which gives g = h + 33.\n3. Substitute h = r + 11 to g, which gives g = r + 44.\n4. Substitute r = s + 10 to g, which gives g = s + 54.\n5. Substitute s = p + 10 to g, which gives g = p + 64.\n6. Substitute p = 13 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 16864,
"question": "Suppose a collection of variables is related by the following definitions: u = m + 14; g = v + 7; t = c + 13; s = p + 10; e = p + 10; h = r + 11; p = 13; q = h + 7; v = q + 19; r = s + 10; c = u + 11; m = e + 5; k = t + 18. Given that p = 13, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 3", "l": "p + 20", "n": "l + 10", "d": "n + 5", "q": "d + 15", "y": "q + 19", "g": "b + 12", "c": "g + 4", "i": "c + 12", "w": "i + 13", "s": "w + 20", "h": "s + 18", "b": 10}, "premises": {"b": 10}, "target": "y"}, "answer": {"steps": [["q", "d + 15", "d + 34"], ["d", "n + 5", "n + 39"], ["n", "l + 10", "l + 49"], ["l", "p + 20", "p + 69"], ["p", "b + 3", "b + 72"], ["b", 10, "82"]], "target_var_name": "y", "target_value": 82, "value_dict": {"b": 10}, "is_reverse": true}} | 16,865 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = 10; y = q + 19; l = p + 20; c = g + 4; s = w + 20; i = c + 12; n = l + 10; d = n + 5; p = b + 3; w = i + 13; q = d + 15; g = b + 12; h = s + 18. Given that b = 10, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 15 to y, which gives y = d + 34.\n2. Substitute d = n + 5 to y, which gives y = n + 39.\n3. Substitute n = l + 10 to y, which gives y = l + 49.\n4. Substitute l = p + 20 to y, which gives y = p + 69.\n5. Substitute p = b + 3 to y, which gives y = b + 72.\n6. Substitute b = 10 to y, which gives y = 82.\n\nThus, the final answer is y = \\boxed{82}.",
"index": 16865,
"question": "Suppose a collection of variables is related by the following definitions: b = 10; y = q + 19; l = p + 20; c = g + 4; s = w + 20; i = c + 12; n = l + 10; d = n + 5; p = b + 3; w = i + 13; q = d + 15; g = b + 12; h = s + 18. Given that b = 10, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 5", "m": "v + 13", "y": "m + 19", "c": "y + 14", "b": "c + 3", "d": "b + 16", "o": "k + 20", "j": "o + 14", "p": "j + 20", "i": "p + 11", "x": "i + 1", "u": "x + 7", "k": 10}, "premises": {"k": 10}, "target": "d"}, "answer": {"steps": [["b", "c + 3", "c + 19"], ["c", "y + 14", "y + 33"], ["y", "m + 19", "m + 52"], ["m", "v + 13", "v + 65"], ["v", "k + 5", "k + 70"], ["k", 10, "80"]], "target_var_name": "d", "target_value": 80, "value_dict": {"k": 10}, "is_reverse": true}} | 16,866 | 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 = o + 14; d = b + 16; i = p + 11; u = x + 7; y = m + 19; k = 10; o = k + 20; p = j + 20; x = i + 1; c = y + 14; m = v + 13; v = k + 5; b = c + 3. If k = 10, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 3 to d, which gives d = c + 19.\n2. Substitute c = y + 14 to d, which gives d = y + 33.\n3. Substitute y = m + 19 to d, which gives d = m + 52.\n4. Substitute m = v + 13 to d, which gives d = v + 65.\n5. Substitute v = k + 5 to d, which gives d = k + 70.\n6. Substitute k = 10 to d, which gives d = 80.\n\nThus, the final answer is d = \\boxed{80}.",
"index": 16866,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = o + 14; d = b + 16; i = p + 11; u = x + 7; y = m + 19; k = 10; o = k + 20; p = j + 20; x = i + 1; c = y + 14; m = v + 13; v = k + 5; b = c + 3. If k = 10, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 12", "q": "b + 13", "x": "q + 1", "z": "x + 15", "r": "z + 12", "f": "r + 11", "y": "e + 10", "d": "y + 17", "a": "d + 15", "j": "a + 3", "g": "j + 7", "c": "g + 12", "e": 15}, "premises": {"e": 15}, "target": "f"}, "answer": {"steps": [["r", "z + 12", "z + 23"], ["z", "x + 15", "x + 38"], ["x", "q + 1", "q + 39"], ["q", "b + 13", "b + 52"], ["b", "e + 12", "e + 64"], ["e", 15, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"e": 15}, "is_reverse": true}} | 16,867 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = y + 17; r = z + 12; z = x + 15; g = j + 7; y = e + 10; f = r + 11; e = 15; b = e + 12; x = q + 1; q = b + 13; c = g + 12; a = d + 15; j = a + 3. If e = 15, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 12 to f, which gives f = z + 23.\n2. Substitute z = x + 15 to f, which gives f = x + 38.\n3. Substitute x = q + 1 to f, which gives f = q + 39.\n4. Substitute q = b + 13 to f, which gives f = b + 52.\n5. Substitute b = e + 12 to f, which gives f = e + 64.\n6. Substitute e = 15 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 16867,
"question": "Consider a system of variables where each variable is defined as follows: d = y + 17; r = z + 12; z = x + 15; g = j + 7; y = e + 10; f = r + 11; e = 15; b = e + 12; x = q + 1; q = b + 13; c = g + 12; a = d + 15; j = a + 3. If e = 15, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 2", "s": "n + 8", "v": "s + 17", "f": "v + 11", "g": "f + 14", "y": "g + 3", "h": "r + 16", "o": "h + 18", "z": "o + 5", "e": "z + 5", "t": "e + 12", "x": "t + 11", "r": 1}, "premises": {"r": 1}, "target": "y"}, "answer": {"steps": [["g", "f + 14", "f + 17"], ["f", "v + 11", "v + 28"], ["v", "s + 17", "s + 45"], ["s", "n + 8", "n + 53"], ["n", "r + 2", "r + 55"], ["r", 1, "56"]], "target_var_name": "y", "target_value": 56, "value_dict": {"r": 1}, "is_reverse": true}} | 16,868 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = 1; g = f + 14; n = r + 2; y = g + 3; v = s + 17; t = e + 12; o = h + 18; x = t + 11; e = z + 5; h = r + 16; f = v + 11; s = n + 8; z = o + 5. If r = 1, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 14 to y, which gives y = f + 17.\n2. Substitute f = v + 11 to y, which gives y = v + 28.\n3. Substitute v = s + 17 to y, which gives y = s + 45.\n4. Substitute s = n + 8 to y, which gives y = n + 53.\n5. Substitute n = r + 2 to y, which gives y = r + 55.\n6. Substitute r = 1 to y, which gives y = 56.\n\nThus, the final answer is y = \\boxed{56}.",
"index": 16868,
"question": "Consider a system of variables where each variable is defined as follows: r = 1; g = f + 14; n = r + 2; y = g + 3; v = s + 17; t = e + 12; o = h + 18; x = t + 11; e = z + 5; h = r + 16; f = v + 11; s = n + 8; z = o + 5. If r = 1, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"i": "h + 18", "e": "i + 6", "a": "e + 5", "l": "a + 17", "o": "l + 13", "p": "o + 19", "t": "h + 13", "m": "t + 15", "k": "m + 6", "d": "k + 1", "v": "d + 9", "u": "v + 1", "h": 14}, "premises": {"h": 14}, "target": "p"}, "answer": {"steps": [["o", "l + 13", "l + 32"], ["l", "a + 17", "a + 49"], ["a", "e + 5", "e + 54"], ["e", "i + 6", "i + 60"], ["i", "h + 18", "h + 78"], ["h", 14, "92"]], "target_var_name": "p", "target_value": 92, "value_dict": {"h": 14}, "is_reverse": true}} | 16,869 | 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 + 1; a = e + 5; u = v + 1; l = a + 17; m = t + 15; p = o + 19; k = m + 6; o = l + 13; i = h + 18; h = 14; t = h + 13; v = d + 9; e = i + 6. If h = 14, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 13 to p, which gives p = l + 32.\n2. Substitute l = a + 17 to p, which gives p = a + 49.\n3. Substitute a = e + 5 to p, which gives p = e + 54.\n4. Substitute e = i + 6 to p, which gives p = i + 60.\n5. Substitute i = h + 18 to p, which gives p = h + 78.\n6. Substitute h = 14 to p, which gives p = 92.\n\nThus, the final answer is p = \\boxed{92}.",
"index": 16869,
"question": "Consider a system of variables where each variable is defined as follows: d = k + 1; a = e + 5; u = v + 1; l = a + 17; m = t + 15; p = o + 19; k = m + 6; o = l + 13; i = h + 18; h = 14; t = h + 13; v = d + 9; e = i + 6. If h = 14, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 12", "f": "o + 7", "c": "f + 9", "i": "c + 4", "a": "i + 10", "v": "a + 15", "y": "u + 11", "n": "y + 5", "d": "n + 7", "q": "d + 11", "p": "q + 13", "w": "p + 10", "u": 12}, "premises": {"u": 12}, "target": "v"}, "answer": {"steps": [["a", "i + 10", "i + 25"], ["i", "c + 4", "c + 29"], ["c", "f + 9", "f + 38"], ["f", "o + 7", "o + 45"], ["o", "u + 12", "u + 57"], ["u", 12, "69"]], "target_var_name": "v", "target_value": 69, "value_dict": {"u": 12}, "is_reverse": true}} | 16,870 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 11; a = i + 10; u = 12; d = n + 7; p = q + 13; o = u + 12; f = o + 7; i = c + 4; w = p + 10; q = d + 11; c = f + 9; n = y + 5; v = a + 15. If u = 12, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 10 to v, which gives v = i + 25.\n2. Substitute i = c + 4 to v, which gives v = c + 29.\n3. Substitute c = f + 9 to v, which gives v = f + 38.\n4. Substitute f = o + 7 to v, which gives v = o + 45.\n5. Substitute o = u + 12 to v, which gives v = u + 57.\n6. Substitute u = 12 to v, which gives v = 69.\n\nThus, the final answer is v = \\boxed{69}.",
"index": 16870,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 11; a = i + 10; u = 12; d = n + 7; p = q + 13; o = u + 12; f = o + 7; i = c + 4; w = p + 10; q = d + 11; c = f + 9; n = y + 5; v = a + 15. If u = 12, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 2", "q": "r + 19", "b": "q + 4", "p": "b + 20", "h": "p + 20", "m": "h + 11", "a": "y + 4", "x": "a + 18", "o": "x + 9", "f": "o + 12", "d": "f + 6", "j": "d + 15", "y": 15}, "premises": {"y": 15}, "target": "m"}, "answer": {"steps": [["h", "p + 20", "p + 31"], ["p", "b + 20", "b + 51"], ["b", "q + 4", "q + 55"], ["q", "r + 19", "r + 74"], ["r", "y + 2", "y + 76"], ["y", 15, "91"]], "target_var_name": "m", "target_value": 91, "value_dict": {"y": 15}, "is_reverse": true}} | 16,871 | 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 + 20; x = a + 18; q = r + 19; d = f + 6; p = b + 20; m = h + 11; o = x + 9; y = 15; b = q + 4; f = o + 12; j = d + 15; a = y + 4; r = y + 2. If y = 15, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 20 to m, which gives m = p + 31.\n2. Substitute p = b + 20 to m, which gives m = b + 51.\n3. Substitute b = q + 4 to m, which gives m = q + 55.\n4. Substitute q = r + 19 to m, which gives m = r + 74.\n5. Substitute r = y + 2 to m, which gives m = y + 76.\n6. Substitute y = 15 to m, which gives m = 91.\n\nThus, the final answer is m = \\boxed{91}.",
"index": 16871,
"question": "Consider a system of variables where each variable is defined as follows: h = p + 20; x = a + 18; q = r + 19; d = f + 6; p = b + 20; m = h + 11; o = x + 9; y = 15; b = q + 4; f = o + 12; j = d + 15; a = y + 4; r = y + 2. If y = 15, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 13", "i": "s + 17", "a": "i + 12", "j": "a + 15", "k": "j + 5", "t": "k + 1", "m": "h + 7", "g": "m + 15", "d": "g + 4", "b": "d + 6", "y": "b + 11", "o": "y + 13", "h": 12}, "premises": {"h": 12}, "target": "t"}, "answer": {"steps": [["k", "j + 5", "j + 6"], ["j", "a + 15", "a + 21"], ["a", "i + 12", "i + 33"], ["i", "s + 17", "s + 50"], ["s", "h + 13", "h + 63"], ["h", 12, "75"]], "target_var_name": "t", "target_value": 75, "value_dict": {"h": 12}, "is_reverse": true}} | 16,872 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = y + 13; g = m + 15; d = g + 4; y = b + 11; i = s + 17; k = j + 5; h = 12; m = h + 7; a = i + 12; j = a + 15; s = h + 13; t = k + 1; b = d + 6. Given that h = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 5 to t, which gives t = j + 6.\n2. Substitute j = a + 15 to t, which gives t = a + 21.\n3. Substitute a = i + 12 to t, which gives t = i + 33.\n4. Substitute i = s + 17 to t, which gives t = s + 50.\n5. Substitute s = h + 13 to t, which gives t = h + 63.\n6. Substitute h = 12 to t, which gives t = 75.\n\nThus, the final answer is t = \\boxed{75}.",
"index": 16872,
"question": "Suppose a collection of variables is related by the following definitions: o = y + 13; g = m + 15; d = g + 4; y = b + 11; i = s + 17; k = j + 5; h = 12; m = h + 7; a = i + 12; j = a + 15; s = h + 13; t = k + 1; b = d + 6. Given that h = 12, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 4", "k": "w + 17", "g": "k + 14", "y": "g + 13", "o": "y + 2", "b": "o + 4", "p": "l + 18", "s": "p + 16", "e": "s + 18", "f": "e + 6", "z": "f + 19", "x": "z + 17", "l": 10}, "premises": {"l": 10}, "target": "b"}, "answer": {"steps": [["o", "y + 2", "y + 6"], ["y", "g + 13", "g + 19"], ["g", "k + 14", "k + 33"], ["k", "w + 17", "w + 50"], ["w", "l + 4", "l + 54"], ["l", 10, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"l": 10}, "is_reverse": true}} | 16,873 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 16; e = s + 18; w = l + 4; l = 10; y = g + 13; z = f + 19; f = e + 6; p = l + 18; o = y + 2; x = z + 17; b = o + 4; k = w + 17; g = k + 14. If l = 10, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 2 to b, which gives b = y + 6.\n2. Substitute y = g + 13 to b, which gives b = g + 19.\n3. Substitute g = k + 14 to b, which gives b = k + 33.\n4. Substitute k = w + 17 to b, which gives b = w + 50.\n5. Substitute w = l + 4 to b, which gives b = l + 54.\n6. Substitute l = 10 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 16873,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 16; e = s + 18; w = l + 4; l = 10; y = g + 13; z = f + 19; f = e + 6; p = l + 18; o = y + 2; x = z + 17; b = o + 4; k = w + 17; g = k + 14. If l = 10, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"p": "q + 20", "v": "p + 7", "s": "v + 7", "r": "s + 20", "y": "r + 14", "o": "y + 4", "a": "q + 16", "m": "a + 14", "l": "m + 4", "c": "l + 19", "g": "c + 14", "t": "g + 7", "q": 2}, "premises": {"q": 2}, "target": "o"}, "answer": {"steps": [["y", "r + 14", "r + 18"], ["r", "s + 20", "s + 38"], ["s", "v + 7", "v + 45"], ["v", "p + 7", "p + 52"], ["p", "q + 20", "q + 72"], ["q", 2, "74"]], "target_var_name": "o", "target_value": 74, "value_dict": {"q": 2}, "is_reverse": true}} | 16,874 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 2; t = g + 7; g = c + 14; a = q + 16; c = l + 19; v = p + 7; s = v + 7; l = m + 4; p = q + 20; o = y + 4; m = a + 14; y = r + 14; r = s + 20. If q = 2, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 14 to o, which gives o = r + 18.\n2. Substitute r = s + 20 to o, which gives o = s + 38.\n3. Substitute s = v + 7 to o, which gives o = v + 45.\n4. Substitute v = p + 7 to o, which gives o = p + 52.\n5. Substitute p = q + 20 to o, which gives o = q + 72.\n6. Substitute q = 2 to o, which gives o = 74.\n\nThus, the final answer is o = \\boxed{74}.",
"index": 16874,
"question": "Consider a system of variables where each variable is defined as follows: q = 2; t = g + 7; g = c + 14; a = q + 16; c = l + 19; v = p + 7; s = v + 7; l = m + 4; p = q + 20; o = y + 4; m = a + 14; y = r + 14; r = s + 20. If q = 2, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 2", "k": "w + 7", "y": "k + 16", "r": "y + 9", "g": "r + 17", "n": "g + 6", "t": "b + 7", "h": "t + 4", "p": "h + 12", "x": "p + 15", "v": "x + 18", "d": "v + 5", "b": 5}, "premises": {"b": 5}, "target": "n"}, "answer": {"steps": [["g", "r + 17", "r + 23"], ["r", "y + 9", "y + 32"], ["y", "k + 16", "k + 48"], ["k", "w + 7", "w + 55"], ["w", "b + 2", "b + 57"], ["b", 5, "62"]], "target_var_name": "n", "target_value": 62, "value_dict": {"b": 5}, "is_reverse": true}} | 16,875 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = k + 16; r = y + 9; p = h + 12; x = p + 15; w = b + 2; b = 5; v = x + 18; g = r + 17; t = b + 7; k = w + 7; n = g + 6; h = t + 4; d = v + 5. If b = 5, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 17 to n, which gives n = r + 23.\n2. Substitute r = y + 9 to n, which gives n = y + 32.\n3. Substitute y = k + 16 to n, which gives n = k + 48.\n4. Substitute k = w + 7 to n, which gives n = w + 55.\n5. Substitute w = b + 2 to n, which gives n = b + 57.\n6. Substitute b = 5 to n, which gives n = 62.\n\nThus, the final answer is n = \\boxed{62}.",
"index": 16875,
"question": "Consider a system of variables where each variable is defined as follows: y = k + 16; r = y + 9; p = h + 12; x = p + 15; w = b + 2; b = 5; v = x + 18; g = r + 17; t = b + 7; k = w + 7; n = g + 6; h = t + 4; d = v + 5. If b = 5, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "q + 1", "u": "e + 11", "y": "u + 16", "t": "y + 18", "g": "t + 4", "a": "g + 11", "x": "q + 15", "m": "x + 4", "o": "m + 10", "w": "o + 10", "c": "w + 10", "d": "c + 5", "q": 4}, "premises": {"q": 4}, "target": "a"}, "answer": {"steps": [["g", "t + 4", "t + 15"], ["t", "y + 18", "y + 33"], ["y", "u + 16", "u + 49"], ["u", "e + 11", "e + 60"], ["e", "q + 1", "q + 61"], ["q", 4, "65"]], "target_var_name": "a", "target_value": 65, "value_dict": {"q": 4}, "is_reverse": true}} | 16,876 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = x + 4; w = o + 10; c = w + 10; d = c + 5; g = t + 4; x = q + 15; e = q + 1; y = u + 16; u = e + 11; o = m + 10; t = y + 18; a = g + 11; q = 4. If q = 4, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 4 to a, which gives a = t + 15.\n2. Substitute t = y + 18 to a, which gives a = y + 33.\n3. Substitute y = u + 16 to a, which gives a = u + 49.\n4. Substitute u = e + 11 to a, which gives a = e + 60.\n5. Substitute e = q + 1 to a, which gives a = q + 61.\n6. Substitute q = 4 to a, which gives a = 65.\n\nThus, the final answer is a = \\boxed{65}.",
"index": 16876,
"question": "Consider a system of variables where each variable is defined as follows: m = x + 4; w = o + 10; c = w + 10; d = c + 5; g = t + 4; x = q + 15; e = q + 1; y = u + 16; u = e + 11; o = m + 10; t = y + 18; a = g + 11; q = 4. If q = 4, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 20", "b": "l + 13", "z": "b + 19", "a": "z + 19", "x": "a + 2", "e": "x + 17", "q": "h + 12", "s": "q + 3", "n": "s + 10", "i": "n + 11", "m": "i + 2", "p": "m + 13", "h": 20}, "premises": {"h": 20}, "target": "e"}, "answer": {"steps": [["x", "a + 2", "a + 19"], ["a", "z + 19", "z + 38"], ["z", "b + 19", "b + 57"], ["b", "l + 13", "l + 70"], ["l", "h + 20", "h + 90"], ["h", 20, "110"]], "target_var_name": "e", "target_value": 110, "value_dict": {"h": 20}, "is_reverse": true}} | 16,877 | 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 = l + 13; q = h + 12; e = x + 17; s = q + 3; z = b + 19; h = 20; i = n + 11; p = m + 13; n = s + 10; l = h + 20; x = a + 2; a = z + 19; m = i + 2. If h = 20, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 2 to e, which gives e = a + 19.\n2. Substitute a = z + 19 to e, which gives e = z + 38.\n3. Substitute z = b + 19 to e, which gives e = b + 57.\n4. Substitute b = l + 13 to e, which gives e = l + 70.\n5. Substitute l = h + 20 to e, which gives e = h + 90.\n6. Substitute h = 20 to e, which gives e = 110.\n\nThus, the final answer is e = \\boxed{110}.",
"index": 16877,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 13; q = h + 12; e = x + 17; s = q + 3; z = b + 19; h = 20; i = n + 11; p = m + 13; n = s + 10; l = h + 20; x = a + 2; a = z + 19; m = i + 2. If h = 20, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 13", "s": "c + 5", "p": "s + 5", "b": "p + 7", "k": "b + 16", "n": "k + 5", "o": "l + 20", "f": "o + 11", "y": "f + 9", "i": "y + 6", "q": "i + 14", "g": "q + 4", "l": 2}, "premises": {"l": 2}, "target": "n"}, "answer": {"steps": [["k", "b + 16", "b + 21"], ["b", "p + 7", "p + 28"], ["p", "s + 5", "s + 33"], ["s", "c + 5", "c + 38"], ["c", "l + 13", "l + 51"], ["l", 2, "53"]], "target_var_name": "n", "target_value": 53, "value_dict": {"l": 2}, "is_reverse": true}} | 16,878 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = l + 13; f = o + 11; y = f + 9; i = y + 6; g = q + 4; k = b + 16; n = k + 5; s = c + 5; l = 2; q = i + 14; o = l + 20; p = s + 5; b = p + 7. If l = 2, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 16 to n, which gives n = b + 21.\n2. Substitute b = p + 7 to n, which gives n = p + 28.\n3. Substitute p = s + 5 to n, which gives n = s + 33.\n4. Substitute s = c + 5 to n, which gives n = c + 38.\n5. Substitute c = l + 13 to n, which gives n = l + 51.\n6. Substitute l = 2 to n, which gives n = 53.\n\nThus, the final answer is n = \\boxed{53}.",
"index": 16878,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = l + 13; f = o + 11; y = f + 9; i = y + 6; g = q + 4; k = b + 16; n = k + 5; s = c + 5; l = 2; q = i + 14; o = l + 20; p = s + 5; b = p + 7. If l = 2, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 18", "d": "p + 3", "z": "d + 1", "q": "z + 6", "r": "q + 7", "y": "r + 8", "o": "u + 15", "b": "o + 16", "l": "b + 17", "i": "l + 15", "s": "i + 1", "j": "s + 4", "u": 19}, "premises": {"u": 19}, "target": "y"}, "answer": {"steps": [["r", "q + 7", "q + 15"], ["q", "z + 6", "z + 21"], ["z", "d + 1", "d + 22"], ["d", "p + 3", "p + 25"], ["p", "u + 18", "u + 43"], ["u", 19, "62"]], "target_var_name": "y", "target_value": 62, "value_dict": {"u": 19}, "is_reverse": true}} | 16,879 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = l + 15; y = r + 8; o = u + 15; r = q + 7; j = s + 4; p = u + 18; z = d + 1; l = b + 17; q = z + 6; s = i + 1; u = 19; b = o + 16; d = p + 3. Given that u = 19, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 7 to y, which gives y = q + 15.\n2. Substitute q = z + 6 to y, which gives y = z + 21.\n3. Substitute z = d + 1 to y, which gives y = d + 22.\n4. Substitute d = p + 3 to y, which gives y = p + 25.\n5. Substitute p = u + 18 to y, which gives y = u + 43.\n6. Substitute u = 19 to y, which gives y = 62.\n\nThus, the final answer is y = \\boxed{62}.",
"index": 16879,
"question": "Suppose a collection of variables is related by the following definitions: i = l + 15; y = r + 8; o = u + 15; r = q + 7; j = s + 4; p = u + 18; z = d + 1; l = b + 17; q = z + 6; s = i + 1; u = 19; b = o + 16; d = p + 3. Given that u = 19, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 5", "i": "e + 16", "b": "i + 8", "u": "b + 2", "z": "u + 11", "y": "z + 15", "k": "x + 7", "h": "k + 10", "n": "h + 9", "c": "n + 2", "v": "c + 2", "o": "v + 7", "x": 6}, "premises": {"x": 6}, "target": "y"}, "answer": {"steps": [["z", "u + 11", "u + 26"], ["u", "b + 2", "b + 28"], ["b", "i + 8", "i + 36"], ["i", "e + 16", "e + 52"], ["e", "x + 5", "x + 57"], ["x", 6, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"x": 6}, "is_reverse": true}} | 16,880 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = n + 2; o = v + 7; y = z + 15; e = x + 5; u = b + 2; h = k + 10; b = i + 8; v = c + 2; k = x + 7; z = u + 11; n = h + 9; x = 6; i = e + 16. Given that x = 6, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 11 to y, which gives y = u + 26.\n2. Substitute u = b + 2 to y, which gives y = b + 28.\n3. Substitute b = i + 8 to y, which gives y = i + 36.\n4. Substitute i = e + 16 to y, which gives y = e + 52.\n5. Substitute e = x + 5 to y, which gives y = x + 57.\n6. Substitute x = 6 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 16880,
"question": "Suppose a collection of variables is related by the following definitions: c = n + 2; o = v + 7; y = z + 15; e = x + 5; u = b + 2; h = k + 10; b = i + 8; v = c + 2; k = x + 7; z = u + 11; n = h + 9; x = 6; i = e + 16. Given that x = 6, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 16", "k": "v + 3", "m": "k + 16", "l": "m + 11", "n": "l + 5", "t": "n + 20", "y": "e + 10", "d": "y + 14", "q": "d + 15", "x": "q + 10", "c": "x + 9", "r": "c + 9", "e": 12}, "premises": {"e": 12}, "target": "t"}, "answer": {"steps": [["n", "l + 5", "l + 25"], ["l", "m + 11", "m + 36"], ["m", "k + 16", "k + 52"], ["k", "v + 3", "v + 55"], ["v", "e + 16", "e + 71"], ["e", 12, "83"]], "target_var_name": "t", "target_value": 83, "value_dict": {"e": 12}, "is_reverse": true}} | 16,881 | 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 = v + 3; d = y + 14; m = k + 16; n = l + 5; l = m + 11; q = d + 15; r = c + 9; x = q + 10; v = e + 16; t = n + 20; c = x + 9; y = e + 10; e = 12. If e = 12, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 5 to t, which gives t = l + 25.\n2. Substitute l = m + 11 to t, which gives t = m + 36.\n3. Substitute m = k + 16 to t, which gives t = k + 52.\n4. Substitute k = v + 3 to t, which gives t = v + 55.\n5. Substitute v = e + 16 to t, which gives t = e + 71.\n6. Substitute e = 12 to t, which gives t = 83.\n\nThus, the final answer is t = \\boxed{83}.",
"index": 16881,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = v + 3; d = y + 14; m = k + 16; n = l + 5; l = m + 11; q = d + 15; r = c + 9; x = q + 10; v = e + 16; t = n + 20; c = x + 9; y = e + 10; e = 12. If e = 12, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 20", "v": "f + 16", "q": "v + 5", "w": "q + 19", "y": "w + 5", "e": "y + 8", "i": "p + 3", "a": "i + 16", "j": "a + 15", "b": "j + 4", "m": "b + 9", "t": "m + 20", "p": 10}, "premises": {"p": 10}, "target": "e"}, "answer": {"steps": [["y", "w + 5", "w + 13"], ["w", "q + 19", "q + 32"], ["q", "v + 5", "v + 37"], ["v", "f + 16", "f + 53"], ["f", "p + 20", "p + 73"], ["p", 10, "83"]], "target_var_name": "e", "target_value": 83, "value_dict": {"p": 10}, "is_reverse": true}} | 16,882 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = j + 4; e = y + 8; t = m + 20; j = a + 15; y = w + 5; m = b + 9; w = q + 19; p = 10; v = f + 16; q = v + 5; i = p + 3; a = i + 16; f = p + 20. Given that p = 10, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 5 to e, which gives e = w + 13.\n2. Substitute w = q + 19 to e, which gives e = q + 32.\n3. Substitute q = v + 5 to e, which gives e = v + 37.\n4. Substitute v = f + 16 to e, which gives e = f + 53.\n5. Substitute f = p + 20 to e, which gives e = p + 73.\n6. Substitute p = 10 to e, which gives e = 83.\n\nThus, the final answer is e = \\boxed{83}.",
"index": 16882,
"question": "Suppose a collection of variables is related by the following definitions: b = j + 4; e = y + 8; t = m + 20; j = a + 15; y = w + 5; m = b + 9; w = q + 19; p = 10; v = f + 16; q = v + 5; i = p + 3; a = i + 16; f = p + 20. Given that p = 10, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 15", "x": "z + 19", "t": "x + 3", "p": "t + 9", "m": "p + 7", "u": "m + 17", "n": "s + 10", "c": "n + 12", "r": "c + 14", "f": "r + 1", "o": "f + 8", "g": "o + 1", "s": 2}, "premises": {"s": 2}, "target": "u"}, "answer": {"steps": [["m", "p + 7", "p + 24"], ["p", "t + 9", "t + 33"], ["t", "x + 3", "x + 36"], ["x", "z + 19", "z + 55"], ["z", "s + 15", "s + 70"], ["s", 2, "72"]], "target_var_name": "u", "target_value": 72, "value_dict": {"s": 2}, "is_reverse": true}} | 16,883 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = p + 7; x = z + 19; t = x + 3; g = o + 1; s = 2; z = s + 15; r = c + 14; c = n + 12; p = t + 9; u = m + 17; o = f + 8; f = r + 1; n = s + 10. Given that s = 2, find 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 = p + 7 to u, which gives u = p + 24.\n2. Substitute p = t + 9 to u, which gives u = t + 33.\n3. Substitute t = x + 3 to u, which gives u = x + 36.\n4. Substitute x = z + 19 to u, which gives u = z + 55.\n5. Substitute z = s + 15 to u, which gives u = s + 70.\n6. Substitute s = 2 to u, which gives u = 72.\n\nThus, the final answer is u = \\boxed{72}.",
"index": 16883,
"question": "Suppose a collection of variables is related by the following definitions: m = p + 7; x = z + 19; t = x + 3; g = o + 1; s = 2; z = s + 15; r = c + 14; c = n + 12; p = t + 9; u = m + 17; o = f + 8; f = r + 1; n = s + 10. Given that s = 2, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"a": "x + 5", "h": "a + 3", "q": "h + 4", "o": "q + 2", "e": "o + 5", "g": "e + 10", "b": "x + 17", "v": "b + 17", "d": "v + 17", "s": "d + 1", "u": "s + 13", "j": "u + 8", "x": 15}, "premises": {"x": 15}, "target": "g"}, "answer": {"steps": [["e", "o + 5", "o + 15"], ["o", "q + 2", "q + 17"], ["q", "h + 4", "h + 21"], ["h", "a + 3", "a + 24"], ["a", "x + 5", "x + 29"], ["x", 15, "44"]], "target_var_name": "g", "target_value": 44, "value_dict": {"x": 15}, "is_reverse": true}} | 16,884 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = o + 5; g = e + 10; u = s + 13; x = 15; o = q + 2; v = b + 17; b = x + 17; s = d + 1; a = x + 5; d = v + 17; j = u + 8; q = h + 4; h = a + 3. If x = 15, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 5 to g, which gives g = o + 15.\n2. Substitute o = q + 2 to g, which gives g = q + 17.\n3. Substitute q = h + 4 to g, which gives g = h + 21.\n4. Substitute h = a + 3 to g, which gives g = a + 24.\n5. Substitute a = x + 5 to g, which gives g = x + 29.\n6. Substitute x = 15 to g, which gives g = 44.\n\nThus, the final answer is g = \\boxed{44}.",
"index": 16884,
"question": "Consider a system of variables where each variable is defined as follows: e = o + 5; g = e + 10; u = s + 13; x = 15; o = q + 2; v = b + 17; b = x + 17; s = d + 1; a = x + 5; d = v + 17; j = u + 8; q = h + 4; h = a + 3. If x = 15, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 7", "f": "h + 11", "e": "f + 20", "s": "e + 2", "y": "s + 4", "x": "y + 5", "c": "r + 4", "o": "c + 2", "p": "o + 11", "v": "p + 19", "g": "v + 5", "n": "g + 14", "r": 19}, "premises": {"r": 19}, "target": "x"}, "answer": {"steps": [["y", "s + 4", "s + 9"], ["s", "e + 2", "e + 11"], ["e", "f + 20", "f + 31"], ["f", "h + 11", "h + 42"], ["h", "r + 7", "r + 49"], ["r", 19, "68"]], "target_var_name": "x", "target_value": 68, "value_dict": {"r": 19}, "is_reverse": true}} | 16,885 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = e + 2; y = s + 4; f = h + 11; o = c + 2; v = p + 19; r = 19; n = g + 14; e = f + 20; p = o + 11; x = y + 5; c = r + 4; g = v + 5; h = r + 7. If r = 19, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 4 to x, which gives x = s + 9.\n2. Substitute s = e + 2 to x, which gives x = e + 11.\n3. Substitute e = f + 20 to x, which gives x = f + 31.\n4. Substitute f = h + 11 to x, which gives x = h + 42.\n5. Substitute h = r + 7 to x, which gives x = r + 49.\n6. Substitute r = 19 to x, which gives x = 68.\n\nThus, the final answer is x = \\boxed{68}.",
"index": 16885,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = e + 2; y = s + 4; f = h + 11; o = c + 2; v = p + 19; r = 19; n = g + 14; e = f + 20; p = o + 11; x = y + 5; c = r + 4; g = v + 5; h = r + 7. If r = 19, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 12", "m": "l + 3", "c": "m + 13", "x": "c + 20", "w": "x + 1", "g": "w + 9", "s": "b + 7", "n": "s + 1", "q": "n + 12", "v": "q + 3", "p": "v + 16", "j": "p + 1", "b": 11}, "premises": {"b": 11}, "target": "g"}, "answer": {"steps": [["w", "x + 1", "x + 10"], ["x", "c + 20", "c + 30"], ["c", "m + 13", "m + 43"], ["m", "l + 3", "l + 46"], ["l", "b + 12", "b + 58"], ["b", 11, "69"]], "target_var_name": "g", "target_value": 69, "value_dict": {"b": 11}, "is_reverse": true}} | 16,886 | 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 = s + 1; p = v + 16; l = b + 12; j = p + 1; b = 11; s = b + 7; x = c + 20; w = x + 1; c = m + 13; v = q + 3; g = w + 9; q = n + 12; m = l + 3. If b = 11, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 1 to g, which gives g = x + 10.\n2. Substitute x = c + 20 to g, which gives g = c + 30.\n3. Substitute c = m + 13 to g, which gives g = m + 43.\n4. Substitute m = l + 3 to g, which gives g = l + 46.\n5. Substitute l = b + 12 to g, which gives g = b + 58.\n6. Substitute b = 11 to g, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 16886,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = s + 1; p = v + 16; l = b + 12; j = p + 1; b = 11; s = b + 7; x = c + 20; w = x + 1; c = m + 13; v = q + 3; g = w + 9; q = n + 12; m = l + 3. If b = 11, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 10", "k": "v + 2", "t": "k + 20", "n": "t + 19", "g": "n + 14", "y": "g + 16", "w": "l + 6", "d": "w + 4", "j": "d + 19", "e": "j + 7", "m": "e + 4", "z": "m + 6", "l": 4}, "premises": {"l": 4}, "target": "y"}, "answer": {"steps": [["g", "n + 14", "n + 30"], ["n", "t + 19", "t + 49"], ["t", "k + 20", "k + 69"], ["k", "v + 2", "v + 71"], ["v", "l + 10", "l + 81"], ["l", 4, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"l": 4}, "is_reverse": true}} | 16,887 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = l + 10; g = n + 14; k = v + 2; w = l + 6; l = 4; t = k + 20; y = g + 16; z = m + 6; d = w + 4; j = d + 19; n = t + 19; e = j + 7; m = e + 4. Given that l = 4, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 14 to y, which gives y = n + 30.\n2. Substitute n = t + 19 to y, which gives y = t + 49.\n3. Substitute t = k + 20 to y, which gives y = k + 69.\n4. Substitute k = v + 2 to y, which gives y = v + 71.\n5. Substitute v = l + 10 to y, which gives y = l + 81.\n6. Substitute l = 4 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 16887,
"question": "Suppose a collection of variables is related by the following definitions: v = l + 10; g = n + 14; k = v + 2; w = l + 6; l = 4; t = k + 20; y = g + 16; z = m + 6; d = w + 4; j = d + 19; n = t + 19; e = j + 7; m = e + 4. Given that l = 4, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 8", "z": "w + 13", "g": "z + 8", "b": "g + 6", "h": "b + 13", "p": "h + 7", "o": "l + 2", "u": "o + 17", "q": "u + 20", "a": "q + 3", "e": "a + 2", "d": "e + 4", "l": 7}, "premises": {"l": 7}, "target": "p"}, "answer": {"steps": [["h", "b + 13", "b + 20"], ["b", "g + 6", "g + 26"], ["g", "z + 8", "z + 34"], ["z", "w + 13", "w + 47"], ["w", "l + 8", "l + 55"], ["l", 7, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"l": 7}, "is_reverse": true}} | 16,888 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = l + 2; b = g + 6; e = a + 2; l = 7; w = l + 8; d = e + 4; g = z + 8; q = u + 20; h = b + 13; a = q + 3; p = h + 7; u = o + 17; z = w + 13. If l = 7, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 13 to p, which gives p = b + 20.\n2. Substitute b = g + 6 to p, which gives p = g + 26.\n3. Substitute g = z + 8 to p, which gives p = z + 34.\n4. Substitute z = w + 13 to p, which gives p = w + 47.\n5. Substitute w = l + 8 to p, which gives p = l + 55.\n6. Substitute l = 7 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 16888,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = l + 2; b = g + 6; e = a + 2; l = 7; w = l + 8; d = e + 4; g = z + 8; q = u + 20; h = b + 13; a = q + 3; p = h + 7; u = o + 17; z = w + 13. If l = 7, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"b": "x + 14", "i": "b + 12", "u": "i + 10", "f": "u + 10", "g": "f + 1", "z": "g + 19", "h": "x + 4", "e": "h + 20", "s": "e + 18", "o": "s + 19", "y": "o + 6", "n": "y + 14", "x": 5}, "premises": {"x": 5}, "target": "z"}, "answer": {"steps": [["g", "f + 1", "f + 20"], ["f", "u + 10", "u + 30"], ["u", "i + 10", "i + 40"], ["i", "b + 12", "b + 52"], ["b", "x + 14", "x + 66"], ["x", 5, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"x": 5}, "is_reverse": true}} | 16,889 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = e + 18; i = b + 12; x = 5; u = i + 10; f = u + 10; y = o + 6; e = h + 20; z = g + 19; o = s + 19; n = y + 14; g = f + 1; b = x + 14; h = x + 4. If x = 5, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 1 to z, which gives z = f + 20.\n2. Substitute f = u + 10 to z, which gives z = u + 30.\n3. Substitute u = i + 10 to z, which gives z = i + 40.\n4. Substitute i = b + 12 to z, which gives z = b + 52.\n5. Substitute b = x + 14 to z, which gives z = x + 66.\n6. Substitute x = 5 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 16889,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = e + 18; i = b + 12; x = 5; u = i + 10; f = u + 10; y = o + 6; e = h + 20; z = g + 19; o = s + 19; n = y + 14; g = f + 1; b = x + 14; h = x + 4. If x = 5, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"p": "v + 15", "l": "p + 7", "t": "l + 4", "a": "t + 17", "i": "a + 1", "j": "i + 7", "z": "v + 18", "c": "z + 19", "r": "c + 15", "f": "r + 20", "k": "f + 7", "q": "k + 17", "v": 8}, "premises": {"v": 8}, "target": "j"}, "answer": {"steps": [["i", "a + 1", "a + 8"], ["a", "t + 17", "t + 25"], ["t", "l + 4", "l + 29"], ["l", "p + 7", "p + 36"], ["p", "v + 15", "v + 51"], ["v", 8, "59"]], "target_var_name": "j", "target_value": 59, "value_dict": {"v": 8}, "is_reverse": true}} | 16,890 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = r + 20; p = v + 15; v = 8; r = c + 15; q = k + 17; c = z + 19; i = a + 1; a = t + 17; t = l + 4; k = f + 7; l = p + 7; j = i + 7; z = v + 18. If v = 8, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 1 to j, which gives j = a + 8.\n2. Substitute a = t + 17 to j, which gives j = t + 25.\n3. Substitute t = l + 4 to j, which gives j = l + 29.\n4. Substitute l = p + 7 to j, which gives j = p + 36.\n5. Substitute p = v + 15 to j, which gives j = v + 51.\n6. Substitute v = 8 to j, which gives j = 59.\n\nThus, the final answer is j = \\boxed{59}.",
"index": 16890,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = r + 20; p = v + 15; v = 8; r = c + 15; q = k + 17; c = z + 19; i = a + 1; a = t + 17; t = l + 4; k = f + 7; l = p + 7; j = i + 7; z = v + 18. If v = 8, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 13", "m": "r + 16", "s": "m + 14", "g": "s + 16", "f": "g + 2", "i": "f + 15", "j": "b + 2", "n": "j + 11", "h": "n + 13", "k": "h + 8", "l": "k + 3", "y": "l + 8", "b": 3}, "premises": {"b": 3}, "target": "i"}, "answer": {"steps": [["f", "g + 2", "g + 17"], ["g", "s + 16", "s + 33"], ["s", "m + 14", "m + 47"], ["m", "r + 16", "r + 63"], ["r", "b + 13", "b + 76"], ["b", 3, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"b": 3}, "is_reverse": true}} | 16,891 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = b + 2; n = j + 11; y = l + 8; l = k + 3; g = s + 16; f = g + 2; b = 3; s = m + 14; i = f + 15; k = h + 8; m = r + 16; h = n + 13; r = b + 13. If b = 3, determine 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 f = g + 2 to i, which gives i = g + 17.\n2. Substitute g = s + 16 to i, which gives i = s + 33.\n3. Substitute s = m + 14 to i, which gives i = m + 47.\n4. Substitute m = r + 16 to i, which gives i = r + 63.\n5. Substitute r = b + 13 to i, which gives i = b + 76.\n6. Substitute b = 3 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 16891,
"question": "Consider a system of variables where each variable is defined as follows: j = b + 2; n = j + 11; y = l + 8; l = k + 3; g = s + 16; f = g + 2; b = 3; s = m + 14; i = f + 15; k = h + 8; m = r + 16; h = n + 13; r = b + 13. If b = 3, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"h": "n + 15", "w": "h + 17", "q": "w + 19", "y": "q + 14", "c": "y + 3", "g": "c + 3", "i": "n + 18", "a": "i + 17", "r": "a + 7", "v": "r + 10", "d": "v + 8", "p": "d + 1", "n": 11}, "premises": {"n": 11}, "target": "g"}, "answer": {"steps": [["c", "y + 3", "y + 6"], ["y", "q + 14", "q + 20"], ["q", "w + 19", "w + 39"], ["w", "h + 17", "h + 56"], ["h", "n + 15", "n + 71"], ["n", 11, "82"]], "target_var_name": "g", "target_value": 82, "value_dict": {"n": 11}, "is_reverse": true}} | 16,892 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = i + 17; c = y + 3; h = n + 15; w = h + 17; r = a + 7; v = r + 10; g = c + 3; y = q + 14; q = w + 19; d = v + 8; p = d + 1; n = 11; i = n + 18. If n = 11, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 3 to g, which gives g = y + 6.\n2. Substitute y = q + 14 to g, which gives g = q + 20.\n3. Substitute q = w + 19 to g, which gives g = w + 39.\n4. Substitute w = h + 17 to g, which gives g = h + 56.\n5. Substitute h = n + 15 to g, which gives g = n + 71.\n6. Substitute n = 11 to g, which gives g = 82.\n\nThus, the final answer is g = \\boxed{82}.",
"index": 16892,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = i + 17; c = y + 3; h = n + 15; w = h + 17; r = a + 7; v = r + 10; g = c + 3; y = q + 14; q = w + 19; d = v + 8; p = d + 1; n = 11; i = n + 18. If n = 11, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 18", "q": "a + 1", "o": "q + 15", "f": "o + 9", "u": "f + 3", "l": "u + 12", "d": "t + 19", "s": "d + 17", "p": "s + 7", "e": "p + 13", "i": "e + 20", "h": "i + 12", "t": 14}, "premises": {"t": 14}, "target": "l"}, "answer": {"steps": [["u", "f + 3", "f + 15"], ["f", "o + 9", "o + 24"], ["o", "q + 15", "q + 39"], ["q", "a + 1", "a + 40"], ["a", "t + 18", "t + 58"], ["t", 14, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"t": 14}, "is_reverse": true}} | 16,893 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = f + 3; o = q + 15; e = p + 13; p = s + 7; i = e + 20; s = d + 17; t = 14; f = o + 9; q = a + 1; l = u + 12; a = t + 18; d = t + 19; h = i + 12. If t = 14, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = f + 3 to l, which gives l = f + 15.\n2. Substitute f = o + 9 to l, which gives l = o + 24.\n3. Substitute o = q + 15 to l, which gives l = q + 39.\n4. Substitute q = a + 1 to l, which gives l = a + 40.\n5. Substitute a = t + 18 to l, which gives l = t + 58.\n6. Substitute t = 14 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 16893,
"question": "Consider a system of variables where each variable is defined as follows: u = f + 3; o = q + 15; e = p + 13; p = s + 7; i = e + 20; s = d + 17; t = 14; f = o + 9; q = a + 1; l = u + 12; a = t + 18; d = t + 19; h = i + 12. If t = 14, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 3", "c": "f + 10", "t": "c + 17", "o": "t + 16", "g": "o + 6", "l": "g + 5", "k": "s + 19", "m": "k + 5", "v": "m + 3", "z": "v + 4", "y": "z + 13", "j": "y + 16", "s": 5}, "premises": {"s": 5}, "target": "l"}, "answer": {"steps": [["g", "o + 6", "o + 11"], ["o", "t + 16", "t + 27"], ["t", "c + 17", "c + 44"], ["c", "f + 10", "f + 54"], ["f", "s + 3", "s + 57"], ["s", 5, "62"]], "target_var_name": "l", "target_value": 62, "value_dict": {"s": 5}, "is_reverse": true}} | 16,894 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = t + 16; c = f + 10; l = g + 5; k = s + 19; y = z + 13; t = c + 17; s = 5; j = y + 16; m = k + 5; f = s + 3; v = m + 3; g = o + 6; z = v + 4. Given that s = 5, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 6 to l, which gives l = o + 11.\n2. Substitute o = t + 16 to l, which gives l = t + 27.\n3. Substitute t = c + 17 to l, which gives l = c + 44.\n4. Substitute c = f + 10 to l, which gives l = f + 54.\n5. Substitute f = s + 3 to l, which gives l = s + 57.\n6. Substitute s = 5 to l, which gives l = 62.\n\nThus, the final answer is l = \\boxed{62}.",
"index": 16894,
"question": "Suppose a collection of variables is related by the following definitions: o = t + 16; c = f + 10; l = g + 5; k = s + 19; y = z + 13; t = c + 17; s = 5; j = y + 16; m = k + 5; f = s + 3; v = m + 3; g = o + 6; z = v + 4. Given that s = 5, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"u": "l + 14", "d": "u + 11", "b": "d + 4", "o": "b + 18", "j": "o + 16", "w": "j + 15", "z": "l + 11", "k": "z + 13", "n": "k + 6", "a": "n + 4", "v": "a + 4", "m": "v + 8", "l": 10}, "premises": {"l": 10}, "target": "w"}, "answer": {"steps": [["j", "o + 16", "o + 31"], ["o", "b + 18", "b + 49"], ["b", "d + 4", "d + 53"], ["d", "u + 11", "u + 64"], ["u", "l + 14", "l + 78"], ["l", 10, "88"]], "target_var_name": "w", "target_value": 88, "value_dict": {"l": 10}, "is_reverse": true}} | 16,895 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = b + 18; n = k + 6; a = n + 4; l = 10; m = v + 8; w = j + 15; d = u + 11; u = l + 14; j = o + 16; v = a + 4; z = l + 11; b = d + 4; k = z + 13. Given that l = 10, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 16 to w, which gives w = o + 31.\n2. Substitute o = b + 18 to w, which gives w = b + 49.\n3. Substitute b = d + 4 to w, which gives w = d + 53.\n4. Substitute d = u + 11 to w, which gives w = u + 64.\n5. Substitute u = l + 14 to w, which gives w = l + 78.\n6. Substitute l = 10 to w, which gives w = 88.\n\nThus, the final answer is w = \\boxed{88}.",
"index": 16895,
"question": "Suppose a collection of variables is related by the following definitions: o = b + 18; n = k + 6; a = n + 4; l = 10; m = v + 8; w = j + 15; d = u + 11; u = l + 14; j = o + 16; v = a + 4; z = l + 11; b = d + 4; k = z + 13. Given that l = 10, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 18", "j": "v + 16", "t": "j + 9", "g": "t + 6", "k": "g + 9", "o": "k + 4", "e": "f + 15", "b": "e + 5", "d": "b + 8", "m": "d + 1", "u": "m + 13", "h": "u + 2", "f": 19}, "premises": {"f": 19}, "target": "o"}, "answer": {"steps": [["k", "g + 9", "g + 13"], ["g", "t + 6", "t + 19"], ["t", "j + 9", "j + 28"], ["j", "v + 16", "v + 44"], ["v", "f + 18", "f + 62"], ["f", 19, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"f": 19}, "is_reverse": true}} | 16,896 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = m + 13; v = f + 18; k = g + 9; j = v + 16; d = b + 8; h = u + 2; f = 19; e = f + 15; o = k + 4; g = t + 6; t = j + 9; b = e + 5; m = d + 1. Given that f = 19, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 9 to o, which gives o = g + 13.\n2. Substitute g = t + 6 to o, which gives o = t + 19.\n3. Substitute t = j + 9 to o, which gives o = j + 28.\n4. Substitute j = v + 16 to o, which gives o = v + 44.\n5. Substitute v = f + 18 to o, which gives o = f + 62.\n6. Substitute f = 19 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 16896,
"question": "Suppose a collection of variables is related by the following definitions: u = m + 13; v = f + 18; k = g + 9; j = v + 16; d = b + 8; h = u + 2; f = 19; e = f + 15; o = k + 4; g = t + 6; t = j + 9; b = e + 5; m = d + 1. Given that f = 19, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"n": "s + 4", "w": "n + 10", "h": "w + 12", "d": "h + 8", "f": "d + 18", "a": "f + 6", "l": "s + 15", "y": "l + 8", "g": "y + 7", "r": "g + 16", "j": "r + 17", "p": "j + 14", "s": 13}, "premises": {"s": 13}, "target": "a"}, "answer": {"steps": [["f", "d + 18", "d + 24"], ["d", "h + 8", "h + 32"], ["h", "w + 12", "w + 44"], ["w", "n + 10", "n + 54"], ["n", "s + 4", "s + 58"], ["s", 13, "71"]], "target_var_name": "a", "target_value": 71, "value_dict": {"s": 13}, "is_reverse": true}} | 16,897 | 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 = g + 16; a = f + 6; s = 13; h = w + 12; y = l + 8; f = d + 18; d = h + 8; n = s + 4; w = n + 10; j = r + 17; g = y + 7; l = s + 15; p = j + 14. If s = 13, what is the resulting 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 f = d + 18 to a, which gives a = d + 24.\n2. Substitute d = h + 8 to a, which gives a = h + 32.\n3. Substitute h = w + 12 to a, which gives a = w + 44.\n4. Substitute w = n + 10 to a, which gives a = n + 54.\n5. Substitute n = s + 4 to a, which gives a = s + 58.\n6. Substitute s = 13 to a, which gives a = 71.\n\nThus, the final answer is a = \\boxed{71}.",
"index": 16897,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = g + 16; a = f + 6; s = 13; h = w + 12; y = l + 8; f = d + 18; d = h + 8; n = s + 4; w = n + 10; j = r + 17; g = y + 7; l = s + 15; p = j + 14. If s = 13, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 9", "r": "k + 11", "y": "r + 13", "a": "y + 10", "q": "a + 20", "t": "q + 20", "h": "p + 2", "w": "h + 5", "x": "w + 1", "s": "x + 17", "z": "s + 11", "j": "z + 19", "p": 1}, "premises": {"p": 1}, "target": "t"}, "answer": {"steps": [["q", "a + 20", "a + 40"], ["a", "y + 10", "y + 50"], ["y", "r + 13", "r + 63"], ["r", "k + 11", "k + 74"], ["k", "p + 9", "p + 83"], ["p", 1, "84"]], "target_var_name": "t", "target_value": 84, "value_dict": {"p": 1}, "is_reverse": true}} | 16,898 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = s + 11; s = x + 17; r = k + 11; h = p + 2; x = w + 1; a = y + 10; p = 1; y = r + 13; w = h + 5; j = z + 19; k = p + 9; t = q + 20; q = a + 20. If p = 1, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 20 to t, which gives t = a + 40.\n2. Substitute a = y + 10 to t, which gives t = y + 50.\n3. Substitute y = r + 13 to t, which gives t = r + 63.\n4. Substitute r = k + 11 to t, which gives t = k + 74.\n5. Substitute k = p + 9 to t, which gives t = p + 83.\n6. Substitute p = 1 to t, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 16898,
"question": "Consider a system of variables where each variable is defined as follows: z = s + 11; s = x + 17; r = k + 11; h = p + 2; x = w + 1; a = y + 10; p = 1; y = r + 13; w = h + 5; j = z + 19; k = p + 9; t = q + 20; q = a + 20. If p = 1, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 19", "j": "k + 11", "r": "j + 19", "w": "r + 17", "m": "w + 13", "g": "m + 8", "n": "o + 5", "f": "n + 9", "y": "f + 1", "t": "y + 5", "v": "t + 11", "e": "v + 9", "o": 18}, "premises": {"o": 18}, "target": "g"}, "answer": {"steps": [["m", "w + 13", "w + 21"], ["w", "r + 17", "r + 38"], ["r", "j + 19", "j + 57"], ["j", "k + 11", "k + 68"], ["k", "o + 19", "o + 87"], ["o", 18, "105"]], "target_var_name": "g", "target_value": 105, "value_dict": {"o": 18}, "is_reverse": true}} | 16,899 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = o + 19; t = y + 5; o = 18; y = f + 1; v = t + 11; r = j + 19; f = n + 9; m = w + 13; g = m + 8; w = r + 17; n = o + 5; j = k + 11; e = v + 9. If o = 18, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 13 to g, which gives g = w + 21.\n2. Substitute w = r + 17 to g, which gives g = r + 38.\n3. Substitute r = j + 19 to g, which gives g = j + 57.\n4. Substitute j = k + 11 to g, which gives g = k + 68.\n5. Substitute k = o + 19 to g, which gives g = o + 87.\n6. Substitute o = 18 to g, which gives g = 105.\n\nThus, the final answer is g = \\boxed{105}.",
"index": 16899,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = o + 19; t = y + 5; o = 18; y = f + 1; v = t + 11; r = j + 19; f = n + 9; m = w + 13; g = m + 8; w = r + 17; n = o + 5; j = k + 11; e = v + 9. If o = 18, what is the resulting value of g?",
"split": "train"
} |
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