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": {"x": "z + 10", "g": "x + 18", "b": "g + 4", "f": "b + 9", "r": "f + 3", "y": "r + 11", "t": "z + 3", "e": "t + 10", "d": "e + 11", "c": "d + 15", "w": "c + 8", "k": "w + 3", "z": 17}, "premises": {"z": 17}, "target": "y"}, "answer": {"steps": [["r", "f + 3", "f + 14"], ["f", "b + 9", "b + 23"], ["b", "g + 4", "g + 27"], ["g", "x + 18", "x + 45"], ["x", "z + 10", "z + 55"], ["z", 17, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"z": 17}, "is_reverse": true}} | 8,200 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = f + 3; e = t + 10; x = z + 10; c = d + 15; t = z + 3; f = b + 9; b = g + 4; w = c + 8; d = e + 11; z = 17; k = w + 3; g = x + 18; y = r + 11. Given that z = 17, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 3 to y, which gives y = f + 14.\n2. Substitute f = b + 9 to y, which gives y = b + 23.\n3. Substitute b = g + 4 to y, which gives y = g + 27.\n4. Substitute g = x + 18 to y, which gives y = x + 45.\n5. Substitute x = z + 10 to y, which gives y = z + 55.\n6. Substitute z = 17 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 8200,
"question": "Suppose a collection of variables is related by the following definitions: r = f + 3; e = t + 10; x = z + 10; c = d + 15; t = z + 3; f = b + 9; b = g + 4; w = c + 8; d = e + 11; z = 17; k = w + 3; g = x + 18; y = r + 11. Given that z = 17, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 20", "s": "z + 19", "u": "s + 10", "c": "u + 10", "t": "c + 18", "r": "t + 2", "m": "l + 15", "v": "m + 17", "i": "v + 9", "g": "i + 15", "o": "g + 5", "x": "o + 14", "l": 1}, "premises": {"l": 1}, "target": "r"}, "answer": {"steps": [["t", "c + 18", "c + 20"], ["c", "u + 10", "u + 30"], ["u", "s + 10", "s + 40"], ["s", "z + 19", "z + 59"], ["z", "l + 20", "l + 79"], ["l", 1, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"l": 1}, "is_reverse": true}} | 8,201 | 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 = t + 2; s = z + 19; z = l + 20; m = l + 15; x = o + 14; c = u + 10; o = g + 5; u = s + 10; t = c + 18; i = v + 9; g = i + 15; v = m + 17; l = 1. If l = 1, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 18 to r, which gives r = c + 20.\n2. Substitute c = u + 10 to r, which gives r = u + 30.\n3. Substitute u = s + 10 to r, which gives r = s + 40.\n4. Substitute s = z + 19 to r, which gives r = z + 59.\n5. Substitute z = l + 20 to r, which gives r = l + 79.\n6. Substitute l = 1 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 8201,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = t + 2; s = z + 19; z = l + 20; m = l + 15; x = o + 14; c = u + 10; o = g + 5; u = s + 10; t = c + 18; i = v + 9; g = i + 15; v = m + 17; l = 1. If l = 1, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 12", "p": "s + 10", "m": "p + 5", "d": "m + 13", "y": "d + 12", "i": "y + 8", "k": "t + 14", "a": "k + 11", "f": "a + 15", "c": "f + 11", "g": "c + 16", "x": "g + 6", "t": 15}, "premises": {"t": 15}, "target": "i"}, "answer": {"steps": [["y", "d + 12", "d + 20"], ["d", "m + 13", "m + 33"], ["m", "p + 5", "p + 38"], ["p", "s + 10", "s + 48"], ["s", "t + 12", "t + 60"], ["t", 15, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"t": 15}, "is_reverse": true}} | 8,202 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = 15; x = g + 6; s = t + 12; f = a + 15; i = y + 8; c = f + 11; y = d + 12; d = m + 13; a = k + 11; m = p + 5; k = t + 14; p = s + 10; g = c + 16. Given that t = 15, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 12 to i, which gives i = d + 20.\n2. Substitute d = m + 13 to i, which gives i = m + 33.\n3. Substitute m = p + 5 to i, which gives i = p + 38.\n4. Substitute p = s + 10 to i, which gives i = s + 48.\n5. Substitute s = t + 12 to i, which gives i = t + 60.\n6. Substitute t = 15 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 8202,
"question": "Suppose a collection of variables is related by the following definitions: t = 15; x = g + 6; s = t + 12; f = a + 15; i = y + 8; c = f + 11; y = d + 12; d = m + 13; a = k + 11; m = p + 5; k = t + 14; p = s + 10; g = c + 16. Given that t = 15, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"g": "w + 12", "l": "g + 1", "q": "l + 16", "b": "q + 10", "v": "b + 10", "f": "v + 1", "h": "w + 9", "y": "h + 16", "k": "y + 17", "x": "k + 5", "z": "x + 13", "a": "z + 18", "w": 16}, "premises": {"w": 16}, "target": "f"}, "answer": {"steps": [["v", "b + 10", "b + 11"], ["b", "q + 10", "q + 21"], ["q", "l + 16", "l + 37"], ["l", "g + 1", "g + 38"], ["g", "w + 12", "w + 50"], ["w", 16, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"w": 16}, "is_reverse": true}} | 8,203 | 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 = k + 5; l = g + 1; f = v + 1; w = 16; h = w + 9; q = l + 16; a = z + 18; z = x + 13; b = q + 10; v = b + 10; y = h + 16; k = y + 17; g = w + 12. If w = 16, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 10 to f, which gives f = b + 11.\n2. Substitute b = q + 10 to f, which gives f = q + 21.\n3. Substitute q = l + 16 to f, which gives f = l + 37.\n4. Substitute l = g + 1 to f, which gives f = g + 38.\n5. Substitute g = w + 12 to f, which gives f = w + 50.\n6. Substitute w = 16 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 8203,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = k + 5; l = g + 1; f = v + 1; w = 16; h = w + 9; q = l + 16; a = z + 18; z = x + 13; b = q + 10; v = b + 10; y = h + 16; k = y + 17; g = w + 12. If w = 16, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 11", "r": "f + 17", "q": "r + 7", "h": "q + 3", "z": "h + 1", "w": "z + 12", "m": "c + 7", "j": "m + 9", "a": "j + 18", "x": "a + 20", "o": "x + 9", "t": "o + 12", "c": 8}, "premises": {"c": 8}, "target": "w"}, "answer": {"steps": [["z", "h + 1", "h + 13"], ["h", "q + 3", "q + 16"], ["q", "r + 7", "r + 23"], ["r", "f + 17", "f + 40"], ["f", "c + 11", "c + 51"], ["c", 8, "59"]], "target_var_name": "w", "target_value": 59, "value_dict": {"c": 8}, "is_reverse": true}} | 8,204 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = z + 12; q = r + 7; m = c + 7; x = a + 20; a = j + 18; o = x + 9; f = c + 11; z = h + 1; t = o + 12; j = m + 9; c = 8; r = f + 17; h = q + 3. Given that c = 8, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 1 to w, which gives w = h + 13.\n2. Substitute h = q + 3 to w, which gives w = q + 16.\n3. Substitute q = r + 7 to w, which gives w = r + 23.\n4. Substitute r = f + 17 to w, which gives w = f + 40.\n5. Substitute f = c + 11 to w, which gives w = c + 51.\n6. Substitute c = 8 to w, which gives w = 59.\n\nThus, the final answer is w = \\boxed{59}.",
"index": 8204,
"question": "Suppose a collection of variables is related by the following definitions: w = z + 12; q = r + 7; m = c + 7; x = a + 20; a = j + 18; o = x + 9; f = c + 11; z = h + 1; t = o + 12; j = m + 9; c = 8; r = f + 17; h = q + 3. Given that c = 8, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 1", "o": "h + 9", "w": "o + 5", "a": "w + 18", "j": "a + 16", "g": "j + 10", "l": "c + 16", "q": "l + 5", "s": "q + 12", "f": "s + 13", "u": "f + 4", "n": "u + 14", "c": 1}, "premises": {"c": 1}, "target": "g"}, "answer": {"steps": [["j", "a + 16", "a + 26"], ["a", "w + 18", "w + 44"], ["w", "o + 5", "o + 49"], ["o", "h + 9", "h + 58"], ["h", "c + 1", "c + 59"], ["c", 1, "60"]], "target_var_name": "g", "target_value": 60, "value_dict": {"c": 1}, "is_reverse": true}} | 8,205 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = l + 5; c = 1; f = s + 13; u = f + 4; a = w + 18; j = a + 16; g = j + 10; h = c + 1; o = h + 9; s = q + 12; n = u + 14; l = c + 16; w = o + 5. Given that c = 1, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 16 to g, which gives g = a + 26.\n2. Substitute a = w + 18 to g, which gives g = w + 44.\n3. Substitute w = o + 5 to g, which gives g = o + 49.\n4. Substitute o = h + 9 to g, which gives g = h + 58.\n5. Substitute h = c + 1 to g, which gives g = c + 59.\n6. Substitute c = 1 to g, which gives g = 60.\n\nThus, the final answer is g = \\boxed{60}.",
"index": 8205,
"question": "Suppose a collection of variables is related by the following definitions: q = l + 5; c = 1; f = s + 13; u = f + 4; a = w + 18; j = a + 16; g = j + 10; h = c + 1; o = h + 9; s = q + 12; n = u + 14; l = c + 16; w = o + 5. Given that c = 1, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"q": "c + 14", "a": "q + 15", "w": "a + 18", "x": "w + 5", "t": "x + 11", "g": "t + 14", "j": "c + 18", "d": "j + 17", "o": "d + 9", "r": "o + 17", "e": "r + 14", "l": "e + 18", "c": 12}, "premises": {"c": 12}, "target": "g"}, "answer": {"steps": [["t", "x + 11", "x + 25"], ["x", "w + 5", "w + 30"], ["w", "a + 18", "a + 48"], ["a", "q + 15", "q + 63"], ["q", "c + 14", "c + 77"], ["c", 12, "89"]], "target_var_name": "g", "target_value": 89, "value_dict": {"c": 12}, "is_reverse": true}} | 8,206 | 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 = e + 18; d = j + 17; g = t + 14; x = w + 5; e = r + 14; o = d + 9; a = q + 15; r = o + 17; c = 12; t = x + 11; j = c + 18; w = a + 18; q = c + 14. If c = 12, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 11 to g, which gives g = x + 25.\n2. Substitute x = w + 5 to g, which gives g = w + 30.\n3. Substitute w = a + 18 to g, which gives g = a + 48.\n4. Substitute a = q + 15 to g, which gives g = q + 63.\n5. Substitute q = c + 14 to g, which gives g = c + 77.\n6. Substitute c = 12 to g, which gives g = 89.\n\nThus, the final answer is g = \\boxed{89}.",
"index": 8206,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = e + 18; d = j + 17; g = t + 14; x = w + 5; e = r + 14; o = d + 9; a = q + 15; r = o + 17; c = 12; t = x + 11; j = c + 18; w = a + 18; q = c + 14. If c = 12, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"l": "t + 17", "x": "l + 5", "n": "x + 16", "p": "n + 8", "w": "p + 17", "f": "w + 20", "a": "t + 15", "s": "a + 5", "u": "s + 14", "m": "u + 5", "z": "m + 8", "k": "z + 19", "t": 18}, "premises": {"t": 18}, "target": "f"}, "answer": {"steps": [["w", "p + 17", "p + 37"], ["p", "n + 8", "n + 45"], ["n", "x + 16", "x + 61"], ["x", "l + 5", "l + 66"], ["l", "t + 17", "t + 83"], ["t", 18, "101"]], "target_var_name": "f", "target_value": 101, "value_dict": {"t": 18}, "is_reverse": true}} | 8,207 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = u + 5; t = 18; z = m + 8; n = x + 16; f = w + 20; l = t + 17; w = p + 17; x = l + 5; p = n + 8; a = t + 15; s = a + 5; u = s + 14; k = z + 19. Given that t = 18, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 17 to f, which gives f = p + 37.\n2. Substitute p = n + 8 to f, which gives f = n + 45.\n3. Substitute n = x + 16 to f, which gives f = x + 61.\n4. Substitute x = l + 5 to f, which gives f = l + 66.\n5. Substitute l = t + 17 to f, which gives f = t + 83.\n6. Substitute t = 18 to f, which gives f = 101.\n\nThus, the final answer is f = \\boxed{101}.",
"index": 8207,
"question": "Suppose a collection of variables is related by the following definitions: m = u + 5; t = 18; z = m + 8; n = x + 16; f = w + 20; l = t + 17; w = p + 17; x = l + 5; p = n + 8; a = t + 15; s = a + 5; u = s + 14; k = z + 19. Given that t = 18, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 5", "e": "d + 15", "q": "e + 14", "y": "q + 20", "r": "y + 2", "s": "r + 14", "i": "x + 3", "g": "i + 17", "l": "g + 20", "p": "l + 9", "o": "p + 18", "m": "o + 3", "x": 20}, "premises": {"x": 20}, "target": "s"}, "answer": {"steps": [["r", "y + 2", "y + 16"], ["y", "q + 20", "q + 36"], ["q", "e + 14", "e + 50"], ["e", "d + 15", "d + 65"], ["d", "x + 5", "x + 70"], ["x", 20, "90"]], "target_var_name": "s", "target_value": 90, "value_dict": {"x": 20}, "is_reverse": true}} | 8,208 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = o + 3; i = x + 3; r = y + 2; q = e + 14; p = l + 9; y = q + 20; d = x + 5; e = d + 15; s = r + 14; x = 20; l = g + 20; g = i + 17; o = p + 18. Given that x = 20, find 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 r = y + 2 to s, which gives s = y + 16.\n2. Substitute y = q + 20 to s, which gives s = q + 36.\n3. Substitute q = e + 14 to s, which gives s = e + 50.\n4. Substitute e = d + 15 to s, which gives s = d + 65.\n5. Substitute d = x + 5 to s, which gives s = x + 70.\n6. Substitute x = 20 to s, which gives s = 90.\n\nThus, the final answer is s = \\boxed{90}.",
"index": 8208,
"question": "Suppose a collection of variables is related by the following definitions: m = o + 3; i = x + 3; r = y + 2; q = e + 14; p = l + 9; y = q + 20; d = x + 5; e = d + 15; s = r + 14; x = 20; l = g + 20; g = i + 17; o = p + 18. Given that x = 20, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 17", "v": "w + 18", "e": "v + 18", "d": "e + 5", "a": "d + 9", "u": "a + 12", "s": "k + 11", "z": "s + 3", "c": "z + 8", "i": "c + 3", "g": "i + 16", "x": "g + 15", "k": 10}, "premises": {"k": 10}, "target": "u"}, "answer": {"steps": [["a", "d + 9", "d + 21"], ["d", "e + 5", "e + 26"], ["e", "v + 18", "v + 44"], ["v", "w + 18", "w + 62"], ["w", "k + 17", "k + 79"], ["k", 10, "89"]], "target_var_name": "u", "target_value": 89, "value_dict": {"k": 10}, "is_reverse": true}} | 8,209 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 18; x = g + 15; s = k + 11; z = s + 3; u = a + 12; c = z + 8; d = e + 5; v = w + 18; a = d + 9; i = c + 3; w = k + 17; k = 10; g = i + 16. If k = 10, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 9 to u, which gives u = d + 21.\n2. Substitute d = e + 5 to u, which gives u = e + 26.\n3. Substitute e = v + 18 to u, which gives u = v + 44.\n4. Substitute v = w + 18 to u, which gives u = w + 62.\n5. Substitute w = k + 17 to u, which gives u = k + 79.\n6. Substitute k = 10 to u, which gives u = 89.\n\nThus, the final answer is u = \\boxed{89}.",
"index": 8209,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 18; x = g + 15; s = k + 11; z = s + 3; u = a + 12; c = z + 8; d = e + 5; v = w + 18; a = d + 9; i = c + 3; w = k + 17; k = 10; g = i + 16. If k = 10, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"f": "y + 5", "q": "f + 17", "s": "q + 4", "d": "s + 9", "u": "d + 16", "p": "u + 6", "m": "y + 7", "w": "m + 16", "a": "w + 20", "x": "a + 19", "c": "x + 17", "b": "c + 17", "y": 12}, "premises": {"y": 12}, "target": "p"}, "answer": {"steps": [["u", "d + 16", "d + 22"], ["d", "s + 9", "s + 31"], ["s", "q + 4", "q + 35"], ["q", "f + 17", "f + 52"], ["f", "y + 5", "y + 57"], ["y", 12, "69"]], "target_var_name": "p", "target_value": 69, "value_dict": {"y": 12}, "is_reverse": true}} | 8,210 | 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 = u + 6; c = x + 17; q = f + 17; d = s + 9; u = d + 16; s = q + 4; m = y + 7; f = y + 5; y = 12; x = a + 19; b = c + 17; a = w + 20; w = m + 16. If y = 12, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 16 to p, which gives p = d + 22.\n2. Substitute d = s + 9 to p, which gives p = s + 31.\n3. Substitute s = q + 4 to p, which gives p = q + 35.\n4. Substitute q = f + 17 to p, which gives p = f + 52.\n5. Substitute f = y + 5 to p, which gives p = y + 57.\n6. Substitute y = 12 to p, which gives p = 69.\n\nThus, the final answer is p = \\boxed{69}.",
"index": 8210,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 6; c = x + 17; q = f + 17; d = s + 9; u = d + 16; s = q + 4; m = y + 7; f = y + 5; y = 12; x = a + 19; b = c + 17; a = w + 20; w = m + 16. If y = 12, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 17", "c": "z + 1", "d": "c + 4", "n": "d + 11", "s": "n + 9", "l": "s + 13", "q": "k + 4", "m": "q + 20", "i": "m + 4", "f": "i + 2", "e": "f + 19", "j": "e + 16", "k": 7}, "premises": {"k": 7}, "target": "l"}, "answer": {"steps": [["s", "n + 9", "n + 22"], ["n", "d + 11", "d + 33"], ["d", "c + 4", "c + 37"], ["c", "z + 1", "z + 38"], ["z", "k + 17", "k + 55"], ["k", 7, "62"]], "target_var_name": "l", "target_value": 62, "value_dict": {"k": 7}, "is_reverse": true}} | 8,211 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = i + 2; j = e + 16; c = z + 1; q = k + 4; n = d + 11; l = s + 13; k = 7; i = m + 4; s = n + 9; d = c + 4; e = f + 19; m = q + 20; z = k + 17. If k = 7, determine 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 s = n + 9 to l, which gives l = n + 22.\n2. Substitute n = d + 11 to l, which gives l = d + 33.\n3. Substitute d = c + 4 to l, which gives l = c + 37.\n4. Substitute c = z + 1 to l, which gives l = z + 38.\n5. Substitute z = k + 17 to l, which gives l = k + 55.\n6. Substitute k = 7 to l, which gives l = 62.\n\nThus, the final answer is l = \\boxed{62}.",
"index": 8211,
"question": "Consider a system of variables where each variable is defined as follows: f = i + 2; j = e + 16; c = z + 1; q = k + 4; n = d + 11; l = s + 13; k = 7; i = m + 4; s = n + 9; d = c + 4; e = f + 19; m = q + 20; z = k + 17. If k = 7, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 9", "s": "y + 6", "l": "s + 14", "a": "l + 8", "e": "a + 20", "x": "e + 8", "v": "d + 19", "t": "v + 3", "j": "t + 16", "n": "j + 13", "b": "n + 1", "u": "b + 8", "d": 19}, "premises": {"d": 19}, "target": "x"}, "answer": {"steps": [["e", "a + 20", "a + 28"], ["a", "l + 8", "l + 36"], ["l", "s + 14", "s + 50"], ["s", "y + 6", "y + 56"], ["y", "d + 9", "d + 65"], ["d", 19, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"d": 19}, "is_reverse": true}} | 8,212 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = l + 8; t = v + 3; d = 19; y = d + 9; l = s + 14; s = y + 6; u = b + 8; n = j + 13; j = t + 16; x = e + 8; e = a + 20; v = d + 19; b = n + 1. If d = 19, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 20 to x, which gives x = a + 28.\n2. Substitute a = l + 8 to x, which gives x = l + 36.\n3. Substitute l = s + 14 to x, which gives x = s + 50.\n4. Substitute s = y + 6 to x, which gives x = y + 56.\n5. Substitute y = d + 9 to x, which gives x = d + 65.\n6. Substitute d = 19 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 8212,
"question": "Consider a system of variables where each variable is defined as follows: a = l + 8; t = v + 3; d = 19; y = d + 9; l = s + 14; s = y + 6; u = b + 8; n = j + 13; j = t + 16; x = e + 8; e = a + 20; v = d + 19; b = n + 1. If d = 19, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 15", "j": "g + 15", "r": "j + 9", "h": "r + 3", "s": "h + 1", "q": "s + 12", "v": "n + 12", "z": "v + 18", "u": "z + 16", "a": "u + 12", "t": "a + 20", "i": "t + 13", "n": 6}, "premises": {"n": 6}, "target": "q"}, "answer": {"steps": [["s", "h + 1", "h + 13"], ["h", "r + 3", "r + 16"], ["r", "j + 9", "j + 25"], ["j", "g + 15", "g + 40"], ["g", "n + 15", "n + 55"], ["n", 6, "61"]], "target_var_name": "q", "target_value": 61, "value_dict": {"n": 6}, "is_reverse": true}} | 8,213 | 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 = 6; i = t + 13; u = z + 16; r = j + 9; g = n + 15; q = s + 12; h = r + 3; a = u + 12; t = a + 20; v = n + 12; s = h + 1; z = v + 18; j = g + 15. If n = 6, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 1 to q, which gives q = h + 13.\n2. Substitute h = r + 3 to q, which gives q = r + 16.\n3. Substitute r = j + 9 to q, which gives q = j + 25.\n4. Substitute j = g + 15 to q, which gives q = g + 40.\n5. Substitute g = n + 15 to q, which gives q = n + 55.\n6. Substitute n = 6 to q, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 8213,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = 6; i = t + 13; u = z + 16; r = j + 9; g = n + 15; q = s + 12; h = r + 3; a = u + 12; t = a + 20; v = n + 12; s = h + 1; z = v + 18; j = g + 15. If n = 6, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 7", "e": "l + 8", "w": "e + 15", "v": "w + 3", "g": "v + 14", "y": "g + 19", "f": "u + 14", "r": "f + 1", "j": "r + 15", "x": "j + 12", "o": "x + 13", "i": "o + 12", "u": 20}, "premises": {"u": 20}, "target": "y"}, "answer": {"steps": [["g", "v + 14", "v + 33"], ["v", "w + 3", "w + 36"], ["w", "e + 15", "e + 51"], ["e", "l + 8", "l + 59"], ["l", "u + 7", "u + 66"], ["u", 20, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"u": 20}, "is_reverse": true}} | 8,214 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = l + 8; x = j + 12; i = o + 12; v = w + 3; j = r + 15; w = e + 15; y = g + 19; l = u + 7; g = v + 14; f = u + 14; o = x + 13; r = f + 1; u = 20. If u = 20, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 14 to y, which gives y = v + 33.\n2. Substitute v = w + 3 to y, which gives y = w + 36.\n3. Substitute w = e + 15 to y, which gives y = e + 51.\n4. Substitute e = l + 8 to y, which gives y = l + 59.\n5. Substitute l = u + 7 to y, which gives y = u + 66.\n6. Substitute u = 20 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 8214,
"question": "Consider a system of variables where each variable is defined as follows: e = l + 8; x = j + 12; i = o + 12; v = w + 3; j = r + 15; w = e + 15; y = g + 19; l = u + 7; g = v + 14; f = u + 14; o = x + 13; r = f + 1; u = 20. If u = 20, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 16", "j": "o + 18", "q": "j + 18", "w": "q + 2", "z": "w + 16", "c": "z + 16", "m": "f + 1", "p": "m + 17", "d": "p + 10", "v": "d + 13", "t": "v + 8", "y": "t + 5", "f": 1}, "premises": {"f": 1}, "target": "c"}, "answer": {"steps": [["z", "w + 16", "w + 32"], ["w", "q + 2", "q + 34"], ["q", "j + 18", "j + 52"], ["j", "o + 18", "o + 70"], ["o", "f + 16", "f + 86"], ["f", 1, "87"]], "target_var_name": "c", "target_value": 87, "value_dict": {"f": 1}, "is_reverse": true}} | 8,215 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = o + 18; m = f + 1; c = z + 16; v = d + 13; p = m + 17; f = 1; d = p + 10; y = t + 5; q = j + 18; o = f + 16; w = q + 2; z = w + 16; t = v + 8. If f = 1, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 16 to c, which gives c = w + 32.\n2. Substitute w = q + 2 to c, which gives c = q + 34.\n3. Substitute q = j + 18 to c, which gives c = j + 52.\n4. Substitute j = o + 18 to c, which gives c = o + 70.\n5. Substitute o = f + 16 to c, which gives c = f + 86.\n6. Substitute f = 1 to c, which gives c = 87.\n\nThus, the final answer is c = \\boxed{87}.",
"index": 8215,
"question": "Consider a system of variables where each variable is defined as follows: j = o + 18; m = f + 1; c = z + 16; v = d + 13; p = m + 17; f = 1; d = p + 10; y = t + 5; q = j + 18; o = f + 16; w = q + 2; z = w + 16; t = v + 8. If f = 1, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 7", "f": "p + 18", "v": "f + 19", "o": "v + 4", "w": "o + 13", "m": "w + 1", "j": "i + 10", "g": "j + 7", "z": "g + 17", "d": "z + 14", "y": "d + 6", "a": "y + 14", "i": 5}, "premises": {"i": 5}, "target": "m"}, "answer": {"steps": [["w", "o + 13", "o + 14"], ["o", "v + 4", "v + 18"], ["v", "f + 19", "f + 37"], ["f", "p + 18", "p + 55"], ["p", "i + 7", "i + 62"], ["i", 5, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"i": 5}, "is_reverse": true}} | 8,216 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 7; f = p + 18; o = v + 4; j = i + 10; m = w + 1; w = o + 13; v = f + 19; z = g + 17; y = d + 6; d = z + 14; p = i + 7; a = y + 14; i = 5. Given that i = 5, find 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 w = o + 13 to m, which gives m = o + 14.\n2. Substitute o = v + 4 to m, which gives m = v + 18.\n3. Substitute v = f + 19 to m, which gives m = f + 37.\n4. Substitute f = p + 18 to m, which gives m = p + 55.\n5. Substitute p = i + 7 to m, which gives m = i + 62.\n6. Substitute i = 5 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 8216,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 7; f = p + 18; o = v + 4; j = i + 10; m = w + 1; w = o + 13; v = f + 19; z = g + 17; y = d + 6; d = z + 14; p = i + 7; a = y + 14; i = 5. Given that i = 5, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"t": "r + 2", "i": "t + 8", "j": "i + 3", "o": "j + 10", "w": "o + 5", "z": "w + 6", "d": "r + 12", "q": "d + 12", "b": "q + 13", "s": "b + 12", "m": "s + 14", "n": "m + 10", "r": 19}, "premises": {"r": 19}, "target": "z"}, "answer": {"steps": [["w", "o + 5", "o + 11"], ["o", "j + 10", "j + 21"], ["j", "i + 3", "i + 24"], ["i", "t + 8", "t + 32"], ["t", "r + 2", "r + 34"], ["r", 19, "53"]], "target_var_name": "z", "target_value": 53, "value_dict": {"r": 19}, "is_reverse": true}} | 8,217 | 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 = b + 12; z = w + 6; t = r + 2; w = o + 5; d = r + 12; i = t + 8; m = s + 14; q = d + 12; j = i + 3; o = j + 10; r = 19; b = q + 13; n = m + 10. If r = 19, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 5 to z, which gives z = o + 11.\n2. Substitute o = j + 10 to z, which gives z = j + 21.\n3. Substitute j = i + 3 to z, which gives z = i + 24.\n4. Substitute i = t + 8 to z, which gives z = t + 32.\n5. Substitute t = r + 2 to z, which gives z = r + 34.\n6. Substitute r = 19 to z, which gives z = 53.\n\nThus, the final answer is z = \\boxed{53}.",
"index": 8217,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = b + 12; z = w + 6; t = r + 2; w = o + 5; d = r + 12; i = t + 8; m = s + 14; q = d + 12; j = i + 3; o = j + 10; r = 19; b = q + 13; n = m + 10. If r = 19, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 19", "g": "y + 7", "a": "g + 12", "w": "a + 16", "z": "w + 19", "k": "z + 6", "l": "u + 5", "o": "l + 1", "t": "o + 6", "c": "t + 12", "r": "c + 13", "p": "r + 18", "u": 19}, "premises": {"u": 19}, "target": "k"}, "answer": {"steps": [["z", "w + 19", "w + 25"], ["w", "a + 16", "a + 41"], ["a", "g + 12", "g + 53"], ["g", "y + 7", "y + 60"], ["y", "u + 19", "u + 79"], ["u", 19, "98"]], "target_var_name": "k", "target_value": 98, "value_dict": {"u": 19}, "is_reverse": true}} | 8,218 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = y + 7; l = u + 5; o = l + 1; c = t + 12; k = z + 6; p = r + 18; a = g + 12; t = o + 6; r = c + 13; u = 19; z = w + 19; w = a + 16; y = u + 19. If u = 19, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 19 to k, which gives k = w + 25.\n2. Substitute w = a + 16 to k, which gives k = a + 41.\n3. Substitute a = g + 12 to k, which gives k = g + 53.\n4. Substitute g = y + 7 to k, which gives k = y + 60.\n5. Substitute y = u + 19 to k, which gives k = u + 79.\n6. Substitute u = 19 to k, which gives k = 98.\n\nThus, the final answer is k = \\boxed{98}.",
"index": 8218,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = y + 7; l = u + 5; o = l + 1; c = t + 12; k = z + 6; p = r + 18; a = g + 12; t = o + 6; r = c + 13; u = 19; z = w + 19; w = a + 16; y = u + 19. If u = 19, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 10", "o": "e + 1", "w": "o + 1", "y": "w + 13", "j": "y + 15", "s": "j + 9", "z": "i + 7", "l": "z + 12", "b": "l + 16", "u": "b + 3", "q": "u + 16", "r": "q + 6", "i": 18}, "premises": {"i": 18}, "target": "s"}, "answer": {"steps": [["j", "y + 15", "y + 24"], ["y", "w + 13", "w + 37"], ["w", "o + 1", "o + 38"], ["o", "e + 1", "e + 39"], ["e", "i + 10", "i + 49"], ["i", 18, "67"]], "target_var_name": "s", "target_value": 67, "value_dict": {"i": 18}, "is_reverse": true}} | 8,219 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = 18; j = y + 15; q = u + 16; b = l + 16; u = b + 3; z = i + 7; l = z + 12; e = i + 10; y = w + 13; w = o + 1; s = j + 9; o = e + 1; r = q + 6. Given that i = 18, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 15 to s, which gives s = y + 24.\n2. Substitute y = w + 13 to s, which gives s = w + 37.\n3. Substitute w = o + 1 to s, which gives s = o + 38.\n4. Substitute o = e + 1 to s, which gives s = e + 39.\n5. Substitute e = i + 10 to s, which gives s = i + 49.\n6. Substitute i = 18 to s, which gives s = 67.\n\nThus, the final answer is s = \\boxed{67}.",
"index": 8219,
"question": "Suppose a collection of variables is related by the following definitions: i = 18; j = y + 15; q = u + 16; b = l + 16; u = b + 3; z = i + 7; l = z + 12; e = i + 10; y = w + 13; w = o + 1; s = j + 9; o = e + 1; r = q + 6. Given that i = 18, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"q": "m + 5", "v": "q + 18", "i": "v + 7", "z": "i + 16", "n": "z + 10", "p": "n + 12", "j": "m + 11", "d": "j + 5", "s": "d + 14", "f": "s + 13", "c": "f + 15", "r": "c + 13", "m": 3}, "premises": {"m": 3}, "target": "p"}, "answer": {"steps": [["n", "z + 10", "z + 22"], ["z", "i + 16", "i + 38"], ["i", "v + 7", "v + 45"], ["v", "q + 18", "q + 63"], ["q", "m + 5", "m + 68"], ["m", 3, "71"]], "target_var_name": "p", "target_value": 71, "value_dict": {"m": 3}, "is_reverse": true}} | 8,220 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = z + 10; r = c + 13; m = 3; i = v + 7; q = m + 5; s = d + 14; c = f + 15; f = s + 13; p = n + 12; v = q + 18; z = i + 16; j = m + 11; d = j + 5. If m = 3, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 10 to p, which gives p = z + 22.\n2. Substitute z = i + 16 to p, which gives p = i + 38.\n3. Substitute i = v + 7 to p, which gives p = v + 45.\n4. Substitute v = q + 18 to p, which gives p = q + 63.\n5. Substitute q = m + 5 to p, which gives p = m + 68.\n6. Substitute m = 3 to p, which gives p = 71.\n\nThus, the final answer is p = \\boxed{71}.",
"index": 8220,
"question": "Consider a system of variables where each variable is defined as follows: n = z + 10; r = c + 13; m = 3; i = v + 7; q = m + 5; s = d + 14; c = f + 15; f = s + 13; p = n + 12; v = q + 18; z = i + 16; j = m + 11; d = j + 5. If m = 3, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 8", "z": "t + 20", "h": "z + 12", "s": "h + 19", "c": "s + 4", "r": "c + 13", "e": "m + 2", "w": "e + 5", "l": "w + 4", "b": "l + 1", "g": "b + 20", "o": "g + 18", "m": 8}, "premises": {"m": 8}, "target": "r"}, "answer": {"steps": [["c", "s + 4", "s + 17"], ["s", "h + 19", "h + 36"], ["h", "z + 12", "z + 48"], ["z", "t + 20", "t + 68"], ["t", "m + 8", "m + 76"], ["m", 8, "84"]], "target_var_name": "r", "target_value": 84, "value_dict": {"m": 8}, "is_reverse": true}} | 8,221 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = b + 20; r = c + 13; t = m + 8; w = e + 5; h = z + 12; c = s + 4; e = m + 2; o = g + 18; z = t + 20; b = l + 1; l = w + 4; s = h + 19; m = 8. Given that m = 8, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 4 to r, which gives r = s + 17.\n2. Substitute s = h + 19 to r, which gives r = h + 36.\n3. Substitute h = z + 12 to r, which gives r = z + 48.\n4. Substitute z = t + 20 to r, which gives r = t + 68.\n5. Substitute t = m + 8 to r, which gives r = m + 76.\n6. Substitute m = 8 to r, which gives r = 84.\n\nThus, the final answer is r = \\boxed{84}.",
"index": 8221,
"question": "Suppose a collection of variables is related by the following definitions: g = b + 20; r = c + 13; t = m + 8; w = e + 5; h = z + 12; c = s + 4; e = m + 2; o = g + 18; z = t + 20; b = l + 1; l = w + 4; s = h + 19; m = 8. Given that m = 8, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"m": "y + 16", "x": "m + 19", "d": "x + 1", "h": "d + 7", "e": "h + 14", "n": "e + 1", "o": "y + 14", "r": "o + 9", "k": "r + 14", "l": "k + 6", "c": "l + 5", "v": "c + 11", "y": 20}, "premises": {"y": 20}, "target": "n"}, "answer": {"steps": [["e", "h + 14", "h + 15"], ["h", "d + 7", "d + 22"], ["d", "x + 1", "x + 23"], ["x", "m + 19", "m + 42"], ["m", "y + 16", "y + 58"], ["y", 20, "78"]], "target_var_name": "n", "target_value": 78, "value_dict": {"y": 20}, "is_reverse": true}} | 8,222 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = y + 14; y = 20; r = o + 9; e = h + 14; h = d + 7; k = r + 14; x = m + 19; l = k + 6; c = l + 5; d = x + 1; v = c + 11; m = y + 16; n = e + 1. If y = 20, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 14 to n, which gives n = h + 15.\n2. Substitute h = d + 7 to n, which gives n = d + 22.\n3. Substitute d = x + 1 to n, which gives n = x + 23.\n4. Substitute x = m + 19 to n, which gives n = m + 42.\n5. Substitute m = y + 16 to n, which gives n = y + 58.\n6. Substitute y = 20 to n, which gives n = 78.\n\nThus, the final answer is n = \\boxed{78}.",
"index": 8222,
"question": "Consider a system of variables where each variable is defined as follows: o = y + 14; y = 20; r = o + 9; e = h + 14; h = d + 7; k = r + 14; x = m + 19; l = k + 6; c = l + 5; d = x + 1; v = c + 11; m = y + 16; n = e + 1. If y = 20, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 19", "i": "f + 12", "x": "i + 10", "r": "x + 4", "h": "r + 2", "l": "h + 16", "j": "k + 2", "o": "j + 3", "g": "o + 3", "a": "g + 19", "b": "a + 5", "n": "b + 17", "k": 14}, "premises": {"k": 14}, "target": "l"}, "answer": {"steps": [["h", "r + 2", "r + 18"], ["r", "x + 4", "x + 22"], ["x", "i + 10", "i + 32"], ["i", "f + 12", "f + 44"], ["f", "k + 19", "k + 63"], ["k", 14, "77"]], "target_var_name": "l", "target_value": 77, "value_dict": {"k": 14}, "is_reverse": true}} | 8,223 | 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 = g + 19; h = r + 2; f = k + 19; k = 14; r = x + 4; j = k + 2; x = i + 10; g = o + 3; i = f + 12; o = j + 3; l = h + 16; n = b + 17; b = a + 5. If k = 14, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 2 to l, which gives l = r + 18.\n2. Substitute r = x + 4 to l, which gives l = x + 22.\n3. Substitute x = i + 10 to l, which gives l = i + 32.\n4. Substitute i = f + 12 to l, which gives l = f + 44.\n5. Substitute f = k + 19 to l, which gives l = k + 63.\n6. Substitute k = 14 to l, which gives l = 77.\n\nThus, the final answer is l = \\boxed{77}.",
"index": 8223,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 19; h = r + 2; f = k + 19; k = 14; r = x + 4; j = k + 2; x = i + 10; g = o + 3; i = f + 12; o = j + 3; l = h + 16; n = b + 17; b = a + 5. If k = 14, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"v": "y + 17", "i": "v + 4", "r": "i + 16", "q": "r + 20", "g": "q + 1", "j": "g + 18", "z": "y + 9", "s": "z + 17", "p": "s + 13", "k": "p + 2", "h": "k + 19", "e": "h + 13", "y": 10}, "premises": {"y": 10}, "target": "j"}, "answer": {"steps": [["g", "q + 1", "q + 19"], ["q", "r + 20", "r + 39"], ["r", "i + 16", "i + 55"], ["i", "v + 4", "v + 59"], ["v", "y + 17", "y + 76"], ["y", 10, "86"]], "target_var_name": "j", "target_value": 86, "value_dict": {"y": 10}, "is_reverse": true}} | 8,224 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = q + 1; v = y + 17; r = i + 16; q = r + 20; h = k + 19; y = 10; e = h + 13; i = v + 4; k = p + 2; s = z + 17; j = g + 18; p = s + 13; z = y + 9. If y = 10, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 1 to j, which gives j = q + 19.\n2. Substitute q = r + 20 to j, which gives j = r + 39.\n3. Substitute r = i + 16 to j, which gives j = i + 55.\n4. Substitute i = v + 4 to j, which gives j = v + 59.\n5. Substitute v = y + 17 to j, which gives j = y + 76.\n6. Substitute y = 10 to j, which gives j = 86.\n\nThus, the final answer is j = \\boxed{86}.",
"index": 8224,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = q + 1; v = y + 17; r = i + 16; q = r + 20; h = k + 19; y = 10; e = h + 13; i = v + 4; k = p + 2; s = z + 17; j = g + 18; p = s + 13; z = y + 9. If y = 10, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 2", "q": "c + 4", "z": "q + 5", "a": "z + 9", "f": "a + 17", "k": "f + 10", "m": "s + 11", "y": "m + 11", "r": "y + 14", "j": "r + 18", "b": "j + 7", "g": "b + 10", "s": 6}, "premises": {"s": 6}, "target": "k"}, "answer": {"steps": [["f", "a + 17", "a + 27"], ["a", "z + 9", "z + 36"], ["z", "q + 5", "q + 41"], ["q", "c + 4", "c + 45"], ["c", "s + 2", "s + 47"], ["s", 6, "53"]], "target_var_name": "k", "target_value": 53, "value_dict": {"s": 6}, "is_reverse": true}} | 8,225 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = a + 17; j = r + 18; q = c + 4; c = s + 2; s = 6; g = b + 10; k = f + 10; z = q + 5; a = z + 9; b = j + 7; y = m + 11; m = s + 11; r = y + 14. Given that s = 6, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 17 to k, which gives k = a + 27.\n2. Substitute a = z + 9 to k, which gives k = z + 36.\n3. Substitute z = q + 5 to k, which gives k = q + 41.\n4. Substitute q = c + 4 to k, which gives k = c + 45.\n5. Substitute c = s + 2 to k, which gives k = s + 47.\n6. Substitute s = 6 to k, which gives k = 53.\n\nThus, the final answer is k = \\boxed{53}.",
"index": 8225,
"question": "Suppose a collection of variables is related by the following definitions: f = a + 17; j = r + 18; q = c + 4; c = s + 2; s = 6; g = b + 10; k = f + 10; z = q + 5; a = z + 9; b = j + 7; y = m + 11; m = s + 11; r = y + 14. Given that s = 6, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 10", "w": "k + 17", "i": "w + 16", "t": "i + 2", "b": "t + 13", "j": "b + 4", "y": "r + 15", "l": "y + 13", "m": "l + 12", "o": "m + 20", "g": "o + 19", "e": "g + 17", "r": 4}, "premises": {"r": 4}, "target": "j"}, "answer": {"steps": [["b", "t + 13", "t + 17"], ["t", "i + 2", "i + 19"], ["i", "w + 16", "w + 35"], ["w", "k + 17", "k + 52"], ["k", "r + 10", "r + 62"], ["r", 4, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"r": 4}, "is_reverse": true}} | 8,226 | 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 = y + 13; o = m + 20; j = b + 4; y = r + 15; e = g + 17; r = 4; w = k + 17; t = i + 2; g = o + 19; i = w + 16; b = t + 13; k = r + 10; m = l + 12. If r = 4, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 13 to j, which gives j = t + 17.\n2. Substitute t = i + 2 to j, which gives j = i + 19.\n3. Substitute i = w + 16 to j, which gives j = w + 35.\n4. Substitute w = k + 17 to j, which gives j = k + 52.\n5. Substitute k = r + 10 to j, which gives j = r + 62.\n6. Substitute r = 4 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 8226,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = y + 13; o = m + 20; j = b + 4; y = r + 15; e = g + 17; r = 4; w = k + 17; t = i + 2; g = o + 19; i = w + 16; b = t + 13; k = r + 10; m = l + 12. If r = 4, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 19", "r": "o + 10", "c": "r + 3", "k": "c + 19", "i": "k + 5", "u": "i + 10", "f": "x + 17", "e": "f + 5", "z": "e + 19", "b": "z + 5", "m": "b + 18", "n": "m + 14", "x": 2}, "premises": {"x": 2}, "target": "u"}, "answer": {"steps": [["i", "k + 5", "k + 15"], ["k", "c + 19", "c + 34"], ["c", "r + 3", "r + 37"], ["r", "o + 10", "o + 47"], ["o", "x + 19", "x + 66"], ["x", 2, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"x": 2}, "is_reverse": true}} | 8,227 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = x + 19; u = i + 10; x = 2; i = k + 5; z = e + 19; b = z + 5; m = b + 18; c = r + 3; n = m + 14; f = x + 17; e = f + 5; r = o + 10; k = c + 19. Given that x = 2, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 5 to u, which gives u = k + 15.\n2. Substitute k = c + 19 to u, which gives u = c + 34.\n3. Substitute c = r + 3 to u, which gives u = r + 37.\n4. Substitute r = o + 10 to u, which gives u = o + 47.\n5. Substitute o = x + 19 to u, which gives u = x + 66.\n6. Substitute x = 2 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 8227,
"question": "Suppose a collection of variables is related by the following definitions: o = x + 19; u = i + 10; x = 2; i = k + 5; z = e + 19; b = z + 5; m = b + 18; c = r + 3; n = m + 14; f = x + 17; e = f + 5; r = o + 10; k = c + 19. Given that x = 2, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 1", "t": "q + 18", "u": "t + 1", "b": "u + 3", "h": "b + 3", "f": "h + 5", "m": "k + 19", "v": "m + 17", "c": "v + 7", "w": "c + 12", "r": "w + 12", "x": "r + 1", "k": 2}, "premises": {"k": 2}, "target": "f"}, "answer": {"steps": [["h", "b + 3", "b + 8"], ["b", "u + 3", "u + 11"], ["u", "t + 1", "t + 12"], ["t", "q + 18", "q + 30"], ["q", "k + 1", "k + 31"], ["k", 2, "33"]], "target_var_name": "f", "target_value": 33, "value_dict": {"k": 2}, "is_reverse": true}} | 8,228 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 2; w = c + 12; b = u + 3; m = k + 19; x = r + 1; u = t + 1; f = h + 5; h = b + 3; v = m + 17; t = q + 18; c = v + 7; q = k + 1; r = w + 12. Given that k = 2, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 33,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 3 to f, which gives f = b + 8.\n2. Substitute b = u + 3 to f, which gives f = u + 11.\n3. Substitute u = t + 1 to f, which gives f = t + 12.\n4. Substitute t = q + 18 to f, which gives f = q + 30.\n5. Substitute q = k + 1 to f, which gives f = k + 31.\n6. Substitute k = 2 to f, which gives f = 33.\n\nThus, the final answer is f = \\boxed{33}.",
"index": 8228,
"question": "Suppose a collection of variables is related by the following definitions: k = 2; w = c + 12; b = u + 3; m = k + 19; x = r + 1; u = t + 1; f = h + 5; h = b + 3; v = m + 17; t = q + 18; c = v + 7; q = k + 1; r = w + 12. Given that k = 2, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "s + 16", "o": "n + 11", "j": "o + 11", "f": "j + 6", "l": "f + 14", "c": "l + 17", "q": "s + 9", "h": "q + 12", "m": "h + 12", "z": "m + 2", "u": "z + 3", "e": "u + 15", "s": 3}, "premises": {"s": 3}, "target": "c"}, "answer": {"steps": [["l", "f + 14", "f + 31"], ["f", "j + 6", "j + 37"], ["j", "o + 11", "o + 48"], ["o", "n + 11", "n + 59"], ["n", "s + 16", "s + 75"], ["s", 3, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"s": 3}, "is_reverse": true}} | 8,229 | 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 + 9; c = l + 17; j = o + 11; n = s + 16; e = u + 15; u = z + 3; m = h + 12; o = n + 11; f = j + 6; l = f + 14; s = 3; z = m + 2; h = q + 12. If s = 3, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 14 to c, which gives c = f + 31.\n2. Substitute f = j + 6 to c, which gives c = j + 37.\n3. Substitute j = o + 11 to c, which gives c = o + 48.\n4. Substitute o = n + 11 to c, which gives c = n + 59.\n5. Substitute n = s + 16 to c, which gives c = s + 75.\n6. Substitute s = 3 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 8229,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = s + 9; c = l + 17; j = o + 11; n = s + 16; e = u + 15; u = z + 3; m = h + 12; o = n + 11; f = j + 6; l = f + 14; s = 3; z = m + 2; h = q + 12. If s = 3, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"t": "s + 8", "n": "t + 3", "q": "n + 13", "d": "q + 8", "m": "d + 10", "a": "m + 4", "w": "s + 3", "x": "w + 8", "u": "x + 11", "b": "u + 12", "i": "b + 10", "e": "i + 8", "s": 17}, "premises": {"s": 17}, "target": "a"}, "answer": {"steps": [["m", "d + 10", "d + 14"], ["d", "q + 8", "q + 22"], ["q", "n + 13", "n + 35"], ["n", "t + 3", "t + 38"], ["t", "s + 8", "s + 46"], ["s", 17, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"s": 17}, "is_reverse": true}} | 8,230 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = n + 13; s = 17; a = m + 4; w = s + 3; i = b + 10; n = t + 3; m = d + 10; t = s + 8; e = i + 8; b = u + 12; u = x + 11; d = q + 8; x = w + 8. If s = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 10 to a, which gives a = d + 14.\n2. Substitute d = q + 8 to a, which gives a = q + 22.\n3. Substitute q = n + 13 to a, which gives a = n + 35.\n4. Substitute n = t + 3 to a, which gives a = t + 38.\n5. Substitute t = s + 8 to a, which gives a = s + 46.\n6. Substitute s = 17 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 8230,
"question": "Consider a system of variables where each variable is defined as follows: q = n + 13; s = 17; a = m + 4; w = s + 3; i = b + 10; n = t + 3; m = d + 10; t = s + 8; e = i + 8; b = u + 12; u = x + 11; d = q + 8; x = w + 8. If s = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 3", "q": "y + 13", "d": "q + 16", "r": "d + 8", "e": "r + 16", "b": "e + 2", "g": "l + 12", "x": "g + 10", "p": "x + 11", "m": "p + 18", "k": "m + 6", "j": "k + 8", "l": 3}, "premises": {"l": 3}, "target": "b"}, "answer": {"steps": [["e", "r + 16", "r + 18"], ["r", "d + 8", "d + 26"], ["d", "q + 16", "q + 42"], ["q", "y + 13", "y + 55"], ["y", "l + 3", "l + 58"], ["l", 3, "61"]], "target_var_name": "b", "target_value": 61, "value_dict": {"l": 3}, "is_reverse": true}} | 8,231 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = k + 8; k = m + 6; b = e + 2; q = y + 13; r = d + 8; g = l + 12; p = x + 11; m = p + 18; l = 3; y = l + 3; x = g + 10; e = r + 16; d = q + 16. If l = 3, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 16 to b, which gives b = r + 18.\n2. Substitute r = d + 8 to b, which gives b = d + 26.\n3. Substitute d = q + 16 to b, which gives b = q + 42.\n4. Substitute q = y + 13 to b, which gives b = y + 55.\n5. Substitute y = l + 3 to b, which gives b = l + 58.\n6. Substitute l = 3 to b, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 8231,
"question": "Consider a system of variables where each variable is defined as follows: j = k + 8; k = m + 6; b = e + 2; q = y + 13; r = d + 8; g = l + 12; p = x + 11; m = p + 18; l = 3; y = l + 3; x = g + 10; e = r + 16; d = q + 16. If l = 3, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"y": "g + 18", "e": "y + 9", "l": "e + 18", "j": "l + 3", "h": "j + 9", "c": "h + 17", "w": "g + 16", "m": "w + 7", "u": "m + 10", "r": "u + 19", "s": "r + 8", "x": "s + 6", "g": 14}, "premises": {"g": 14}, "target": "c"}, "answer": {"steps": [["h", "j + 9", "j + 26"], ["j", "l + 3", "l + 29"], ["l", "e + 18", "e + 47"], ["e", "y + 9", "y + 56"], ["y", "g + 18", "g + 74"], ["g", 14, "88"]], "target_var_name": "c", "target_value": 88, "value_dict": {"g": 14}, "is_reverse": true}} | 8,232 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = 14; r = u + 19; u = m + 10; c = h + 17; s = r + 8; m = w + 7; w = g + 16; y = g + 18; l = e + 18; j = l + 3; h = j + 9; x = s + 6; e = y + 9. If g = 14, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 9 to c, which gives c = j + 26.\n2. Substitute j = l + 3 to c, which gives c = l + 29.\n3. Substitute l = e + 18 to c, which gives c = e + 47.\n4. Substitute e = y + 9 to c, which gives c = y + 56.\n5. Substitute y = g + 18 to c, which gives c = g + 74.\n6. Substitute g = 14 to c, which gives c = 88.\n\nThus, the final answer is c = \\boxed{88}.",
"index": 8232,
"question": "Consider a system of variables where each variable is defined as follows: g = 14; r = u + 19; u = m + 10; c = h + 17; s = r + 8; m = w + 7; w = g + 16; y = g + 18; l = e + 18; j = l + 3; h = j + 9; x = s + 6; e = y + 9. If g = 14, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 2", "k": "j + 15", "s": "k + 7", "y": "s + 5", "e": "y + 13", "d": "e + 10", "r": "f + 10", "t": "r + 8", "n": "t + 2", "c": "n + 5", "a": "c + 1", "u": "a + 18", "f": 13}, "premises": {"f": 13}, "target": "d"}, "answer": {"steps": [["e", "y + 13", "y + 23"], ["y", "s + 5", "s + 28"], ["s", "k + 7", "k + 35"], ["k", "j + 15", "j + 50"], ["j", "f + 2", "f + 52"], ["f", 13, "65"]], "target_var_name": "d", "target_value": 65, "value_dict": {"f": 13}, "is_reverse": true}} | 8,233 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = t + 2; d = e + 10; u = a + 18; f = 13; r = f + 10; t = r + 8; k = j + 15; s = k + 7; c = n + 5; y = s + 5; e = y + 13; a = c + 1; j = f + 2. Given that f = 13, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 13 to d, which gives d = y + 23.\n2. Substitute y = s + 5 to d, which gives d = s + 28.\n3. Substitute s = k + 7 to d, which gives d = k + 35.\n4. Substitute k = j + 15 to d, which gives d = j + 50.\n5. Substitute j = f + 2 to d, which gives d = f + 52.\n6. Substitute f = 13 to d, which gives d = 65.\n\nThus, the final answer is d = \\boxed{65}.",
"index": 8233,
"question": "Suppose a collection of variables is related by the following definitions: n = t + 2; d = e + 10; u = a + 18; f = 13; r = f + 10; t = r + 8; k = j + 15; s = k + 7; c = n + 5; y = s + 5; e = y + 13; a = c + 1; j = f + 2. Given that f = 13, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "x + 9", "k": "q + 13", "d": "k + 1", "g": "d + 5", "v": "g + 15", "w": "v + 3", "e": "x + 4", "c": "e + 4", "f": "c + 8", "j": "f + 19", "n": "j + 11", "p": "n + 19", "x": 6}, "premises": {"x": 6}, "target": "w"}, "answer": {"steps": [["v", "g + 15", "g + 18"], ["g", "d + 5", "d + 23"], ["d", "k + 1", "k + 24"], ["k", "q + 13", "q + 37"], ["q", "x + 9", "x + 46"], ["x", 6, "52"]], "target_var_name": "w", "target_value": 52, "value_dict": {"x": 6}, "is_reverse": true}} | 8,234 | 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 = j + 11; x = 6; p = n + 19; v = g + 15; g = d + 5; f = c + 8; q = x + 9; d = k + 1; w = v + 3; c = e + 4; j = f + 19; e = x + 4; k = q + 13. If x = 6, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 15 to w, which gives w = g + 18.\n2. Substitute g = d + 5 to w, which gives w = d + 23.\n3. Substitute d = k + 1 to w, which gives w = k + 24.\n4. Substitute k = q + 13 to w, which gives w = q + 37.\n5. Substitute q = x + 9 to w, which gives w = x + 46.\n6. Substitute x = 6 to w, which gives w = 52.\n\nThus, the final answer is w = \\boxed{52}.",
"index": 8234,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = j + 11; x = 6; p = n + 19; v = g + 15; g = d + 5; f = c + 8; q = x + 9; d = k + 1; w = v + 3; c = e + 4; j = f + 19; e = x + 4; k = q + 13. If x = 6, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 12", "t": "d + 18", "b": "t + 2", "q": "b + 11", "z": "q + 12", "n": "z + 18", "e": "x + 2", "f": "e + 12", "i": "f + 16", "y": "i + 13", "p": "y + 13", "o": "p + 20", "x": 1}, "premises": {"x": 1}, "target": "n"}, "answer": {"steps": [["z", "q + 12", "q + 30"], ["q", "b + 11", "b + 41"], ["b", "t + 2", "t + 43"], ["t", "d + 18", "d + 61"], ["d", "x + 12", "x + 73"], ["x", 1, "74"]], "target_var_name": "n", "target_value": 74, "value_dict": {"x": 1}, "is_reverse": true}} | 8,235 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = i + 13; x = 1; p = y + 13; i = f + 16; b = t + 2; t = d + 18; f = e + 12; z = q + 12; n = z + 18; o = p + 20; d = x + 12; q = b + 11; e = x + 2. If x = 1, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 12 to n, which gives n = q + 30.\n2. Substitute q = b + 11 to n, which gives n = b + 41.\n3. Substitute b = t + 2 to n, which gives n = t + 43.\n4. Substitute t = d + 18 to n, which gives n = d + 61.\n5. Substitute d = x + 12 to n, which gives n = x + 73.\n6. Substitute x = 1 to n, which gives n = 74.\n\nThus, the final answer is n = \\boxed{74}.",
"index": 8235,
"question": "Consider a system of variables where each variable is defined as follows: y = i + 13; x = 1; p = y + 13; i = f + 16; b = t + 2; t = d + 18; f = e + 12; z = q + 12; n = z + 18; o = p + 20; d = x + 12; q = b + 11; e = x + 2. If x = 1, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 9", "q": "c + 19", "v": "q + 16", "d": "v + 11", "r": "d + 1", "z": "r + 6", "s": "w + 2", "o": "s + 15", "h": "o + 15", "l": "h + 12", "t": "l + 15", "y": "t + 13", "w": 3}, "premises": {"w": 3}, "target": "z"}, "answer": {"steps": [["r", "d + 1", "d + 7"], ["d", "v + 11", "v + 18"], ["v", "q + 16", "q + 34"], ["q", "c + 19", "c + 53"], ["c", "w + 9", "w + 62"], ["w", 3, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"w": 3}, "is_reverse": true}} | 8,236 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = v + 11; h = o + 15; q = c + 19; o = s + 15; v = q + 16; r = d + 1; c = w + 9; y = t + 13; z = r + 6; s = w + 2; w = 3; t = l + 15; l = h + 12. If w = 3, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 1 to z, which gives z = d + 7.\n2. Substitute d = v + 11 to z, which gives z = v + 18.\n3. Substitute v = q + 16 to z, which gives z = q + 34.\n4. Substitute q = c + 19 to z, which gives z = c + 53.\n5. Substitute c = w + 9 to z, which gives z = w + 62.\n6. Substitute w = 3 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 8236,
"question": "Consider a system of variables where each variable is defined as follows: d = v + 11; h = o + 15; q = c + 19; o = s + 15; v = q + 16; r = d + 1; c = w + 9; y = t + 13; z = r + 6; s = w + 2; w = 3; t = l + 15; l = h + 12. If w = 3, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"x": "c + 11", "t": "x + 6", "o": "t + 5", "u": "o + 19", "v": "u + 20", "h": "v + 13", "z": "c + 13", "q": "z + 1", "s": "q + 11", "y": "s + 8", "d": "y + 15", "g": "d + 4", "c": 15}, "premises": {"c": 15}, "target": "h"}, "answer": {"steps": [["v", "u + 20", "u + 33"], ["u", "o + 19", "o + 52"], ["o", "t + 5", "t + 57"], ["t", "x + 6", "x + 63"], ["x", "c + 11", "c + 74"], ["c", 15, "89"]], "target_var_name": "h", "target_value": 89, "value_dict": {"c": 15}, "is_reverse": true}} | 8,237 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = z + 1; x = c + 11; t = x + 6; u = o + 19; o = t + 5; v = u + 20; d = y + 15; g = d + 4; c = 15; z = c + 13; h = v + 13; s = q + 11; y = s + 8. If c = 15, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 20 to h, which gives h = u + 33.\n2. Substitute u = o + 19 to h, which gives h = o + 52.\n3. Substitute o = t + 5 to h, which gives h = t + 57.\n4. Substitute t = x + 6 to h, which gives h = x + 63.\n5. Substitute x = c + 11 to h, which gives h = c + 74.\n6. Substitute c = 15 to h, which gives h = 89.\n\nThus, the final answer is h = \\boxed{89}.",
"index": 8237,
"question": "Consider a system of variables where each variable is defined as follows: q = z + 1; x = c + 11; t = x + 6; u = o + 19; o = t + 5; v = u + 20; d = y + 15; g = d + 4; c = 15; z = c + 13; h = v + 13; s = q + 11; y = s + 8. If c = 15, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"x": "s + 8", "i": "x + 15", "t": "i + 13", "p": "t + 11", "c": "p + 1", "w": "c + 20", "e": "s + 19", "r": "e + 11", "k": "r + 10", "j": "k + 11", "b": "j + 14", "g": "b + 18", "s": 17}, "premises": {"s": 17}, "target": "w"}, "answer": {"steps": [["c", "p + 1", "p + 21"], ["p", "t + 11", "t + 32"], ["t", "i + 13", "i + 45"], ["i", "x + 15", "x + 60"], ["x", "s + 8", "s + 68"], ["s", 17, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"s": 17}, "is_reverse": true}} | 8,238 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = t + 11; s = 17; g = b + 18; x = s + 8; e = s + 19; w = c + 20; r = e + 11; b = j + 14; k = r + 10; i = x + 15; t = i + 13; c = p + 1; j = k + 11. If s = 17, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 1 to w, which gives w = p + 21.\n2. Substitute p = t + 11 to w, which gives w = t + 32.\n3. Substitute t = i + 13 to w, which gives w = i + 45.\n4. Substitute i = x + 15 to w, which gives w = x + 60.\n5. Substitute x = s + 8 to w, which gives w = s + 68.\n6. Substitute s = 17 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 8238,
"question": "Consider a system of variables where each variable is defined as follows: p = t + 11; s = 17; g = b + 18; x = s + 8; e = s + 19; w = c + 20; r = e + 11; b = j + 14; k = r + 10; i = x + 15; t = i + 13; c = p + 1; j = k + 11. If s = 17, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 8", "z": "t + 18", "y": "z + 20", "b": "y + 7", "h": "b + 4", "s": "h + 4", "d": "m + 18", "o": "d + 17", "a": "o + 11", "u": "a + 14", "g": "u + 1", "f": "g + 1", "m": 2}, "premises": {"m": 2}, "target": "s"}, "answer": {"steps": [["h", "b + 4", "b + 8"], ["b", "y + 7", "y + 15"], ["y", "z + 20", "z + 35"], ["z", "t + 18", "t + 53"], ["t", "m + 8", "m + 61"], ["m", 2, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"m": 2}, "is_reverse": true}} | 8,239 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = t + 18; o = d + 17; s = h + 4; t = m + 8; h = b + 4; m = 2; b = y + 7; a = o + 11; d = m + 18; f = g + 1; y = z + 20; g = u + 1; u = a + 14. If m = 2, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 4 to s, which gives s = b + 8.\n2. Substitute b = y + 7 to s, which gives s = y + 15.\n3. Substitute y = z + 20 to s, which gives s = z + 35.\n4. Substitute z = t + 18 to s, which gives s = t + 53.\n5. Substitute t = m + 8 to s, which gives s = m + 61.\n6. Substitute m = 2 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 8239,
"question": "Consider a system of variables where each variable is defined as follows: z = t + 18; o = d + 17; s = h + 4; t = m + 8; h = b + 4; m = 2; b = y + 7; a = o + 11; d = m + 18; f = g + 1; y = z + 20; g = u + 1; u = a + 14. If m = 2, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 15", "g": "i + 13", "f": "g + 15", "y": "f + 9", "h": "y + 13", "n": "h + 10", "l": "a + 13", "v": "l + 6", "m": "v + 11", "w": "m + 2", "d": "w + 2", "s": "d + 11", "a": 1}, "premises": {"a": 1}, "target": "n"}, "answer": {"steps": [["h", "y + 13", "y + 23"], ["y", "f + 9", "f + 32"], ["f", "g + 15", "g + 47"], ["g", "i + 13", "i + 60"], ["i", "a + 15", "a + 75"], ["a", 1, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"a": 1}, "is_reverse": true}} | 8,240 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = 1; y = f + 9; n = h + 10; g = i + 13; m = v + 11; h = y + 13; w = m + 2; f = g + 15; d = w + 2; i = a + 15; s = d + 11; v = l + 6; l = a + 13. If a = 1, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 13 to n, which gives n = y + 23.\n2. Substitute y = f + 9 to n, which gives n = f + 32.\n3. Substitute f = g + 15 to n, which gives n = g + 47.\n4. Substitute g = i + 13 to n, which gives n = i + 60.\n5. Substitute i = a + 15 to n, which gives n = a + 75.\n6. Substitute a = 1 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 8240,
"question": "Consider a system of variables where each variable is defined as follows: a = 1; y = f + 9; n = h + 10; g = i + 13; m = v + 11; h = y + 13; w = m + 2; f = g + 15; d = w + 2; i = a + 15; s = d + 11; v = l + 6; l = a + 13. If a = 1, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 14", "e": "j + 18", "w": "e + 3", "q": "w + 13", "r": "q + 16", "s": "r + 8", "u": "f + 14", "g": "u + 14", "n": "g + 12", "o": "n + 9", "d": "o + 2", "k": "d + 12", "f": 13}, "premises": {"f": 13}, "target": "s"}, "answer": {"steps": [["r", "q + 16", "q + 24"], ["q", "w + 13", "w + 37"], ["w", "e + 3", "e + 40"], ["e", "j + 18", "j + 58"], ["j", "f + 14", "f + 72"], ["f", 13, "85"]], "target_var_name": "s", "target_value": 85, "value_dict": {"f": 13}, "is_reverse": true}} | 8,241 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = e + 3; u = f + 14; d = o + 2; s = r + 8; e = j + 18; q = w + 13; k = d + 12; o = n + 9; j = f + 14; n = g + 12; f = 13; g = u + 14; r = q + 16. Given that f = 13, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 16 to s, which gives s = q + 24.\n2. Substitute q = w + 13 to s, which gives s = w + 37.\n3. Substitute w = e + 3 to s, which gives s = e + 40.\n4. Substitute e = j + 18 to s, which gives s = j + 58.\n5. Substitute j = f + 14 to s, which gives s = f + 72.\n6. Substitute f = 13 to s, which gives s = 85.\n\nThus, the final answer is s = \\boxed{85}.",
"index": 8241,
"question": "Suppose a collection of variables is related by the following definitions: w = e + 3; u = f + 14; d = o + 2; s = r + 8; e = j + 18; q = w + 13; k = d + 12; o = n + 9; j = f + 14; n = g + 12; f = 13; g = u + 14; r = q + 16. Given that f = 13, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"t": "j + 15", "m": "t + 13", "y": "m + 14", "c": "y + 19", "s": "c + 19", "k": "s + 5", "l": "j + 11", "h": "l + 14", "i": "h + 14", "o": "i + 11", "v": "o + 8", "e": "v + 3", "j": 10}, "premises": {"j": 10}, "target": "k"}, "answer": {"steps": [["s", "c + 19", "c + 24"], ["c", "y + 19", "y + 43"], ["y", "m + 14", "m + 57"], ["m", "t + 13", "t + 70"], ["t", "j + 15", "j + 85"], ["j", 10, "95"]], "target_var_name": "k", "target_value": 95, "value_dict": {"j": 10}, "is_reverse": true}} | 8,242 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 3; h = l + 14; t = j + 15; y = m + 14; c = y + 19; i = h + 14; o = i + 11; m = t + 13; k = s + 5; j = 10; l = j + 11; v = o + 8; s = c + 19. If j = 10, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 19 to k, which gives k = c + 24.\n2. Substitute c = y + 19 to k, which gives k = y + 43.\n3. Substitute y = m + 14 to k, which gives k = m + 57.\n4. Substitute m = t + 13 to k, which gives k = t + 70.\n5. Substitute t = j + 15 to k, which gives k = j + 85.\n6. Substitute j = 10 to k, which gives k = 95.\n\nThus, the final answer is k = \\boxed{95}.",
"index": 8242,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 3; h = l + 14; t = j + 15; y = m + 14; c = y + 19; i = h + 14; o = i + 11; m = t + 13; k = s + 5; j = 10; l = j + 11; v = o + 8; s = c + 19. If j = 10, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 19", "k": "c + 4", "w": "k + 9", "u": "w + 9", "p": "u + 2", "g": "p + 2", "z": "y + 8", "n": "z + 2", "m": "n + 15", "f": "m + 5", "t": "f + 7", "s": "t + 9", "y": 13}, "premises": {"y": 13}, "target": "g"}, "answer": {"steps": [["p", "u + 2", "u + 4"], ["u", "w + 9", "w + 13"], ["w", "k + 9", "k + 22"], ["k", "c + 4", "c + 26"], ["c", "y + 19", "y + 45"], ["y", 13, "58"]], "target_var_name": "g", "target_value": 58, "value_dict": {"y": 13}, "is_reverse": true}} | 8,243 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = p + 2; m = n + 15; u = w + 9; t = f + 7; z = y + 8; n = z + 2; c = y + 19; y = 13; p = u + 2; f = m + 5; k = c + 4; s = t + 9; w = k + 9. If y = 13, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 2 to g, which gives g = u + 4.\n2. Substitute u = w + 9 to g, which gives g = w + 13.\n3. Substitute w = k + 9 to g, which gives g = k + 22.\n4. Substitute k = c + 4 to g, which gives g = c + 26.\n5. Substitute c = y + 19 to g, which gives g = y + 45.\n6. Substitute y = 13 to g, which gives g = 58.\n\nThus, the final answer is g = \\boxed{58}.",
"index": 8243,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = p + 2; m = n + 15; u = w + 9; t = f + 7; z = y + 8; n = z + 2; c = y + 19; y = 13; p = u + 2; f = m + 5; k = c + 4; s = t + 9; w = k + 9. If y = 13, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"l": "a + 12", "b": "l + 20", "u": "b + 10", "y": "u + 4", "t": "y + 7", "d": "t + 17", "j": "a + 16", "s": "j + 3", "v": "s + 20", "x": "v + 8", "r": "x + 6", "g": "r + 18", "a": 13}, "premises": {"a": 13}, "target": "d"}, "answer": {"steps": [["t", "y + 7", "y + 24"], ["y", "u + 4", "u + 28"], ["u", "b + 10", "b + 38"], ["b", "l + 20", "l + 58"], ["l", "a + 12", "a + 70"], ["a", 13, "83"]], "target_var_name": "d", "target_value": 83, "value_dict": {"a": 13}, "is_reverse": true}} | 8,244 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = l + 20; r = x + 6; s = j + 3; x = v + 8; l = a + 12; d = t + 17; u = b + 10; t = y + 7; j = a + 16; g = r + 18; v = s + 20; y = u + 4; a = 13. If a = 13, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 7 to d, which gives d = y + 24.\n2. Substitute y = u + 4 to d, which gives d = u + 28.\n3. Substitute u = b + 10 to d, which gives d = b + 38.\n4. Substitute b = l + 20 to d, which gives d = l + 58.\n5. Substitute l = a + 12 to d, which gives d = a + 70.\n6. Substitute a = 13 to d, which gives d = 83.\n\nThus, the final answer is d = \\boxed{83}.",
"index": 8244,
"question": "Consider a system of variables where each variable is defined as follows: b = l + 20; r = x + 6; s = j + 3; x = v + 8; l = a + 12; d = t + 17; u = b + 10; t = y + 7; j = a + 16; g = r + 18; v = s + 20; y = u + 4; a = 13. If a = 13, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "c + 1", "g": "q + 2", "y": "g + 10", "v": "y + 17", "n": "v + 12", "w": "n + 12", "u": "c + 1", "f": "u + 15", "k": "f + 2", "p": "k + 16", "l": "p + 17", "a": "l + 11", "c": 7}, "premises": {"c": 7}, "target": "w"}, "answer": {"steps": [["n", "v + 12", "v + 24"], ["v", "y + 17", "y + 41"], ["y", "g + 10", "g + 51"], ["g", "q + 2", "q + 53"], ["q", "c + 1", "c + 54"], ["c", 7, "61"]], "target_var_name": "w", "target_value": 61, "value_dict": {"c": 7}, "is_reverse": true}} | 8,245 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = l + 11; q = c + 1; c = 7; u = c + 1; v = y + 17; f = u + 15; y = g + 10; k = f + 2; l = p + 17; n = v + 12; p = k + 16; g = q + 2; w = n + 12. Given that c = 7, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 12 to w, which gives w = v + 24.\n2. Substitute v = y + 17 to w, which gives w = y + 41.\n3. Substitute y = g + 10 to w, which gives w = g + 51.\n4. Substitute g = q + 2 to w, which gives w = q + 53.\n5. Substitute q = c + 1 to w, which gives w = c + 54.\n6. Substitute c = 7 to w, which gives w = 61.\n\nThus, the final answer is w = \\boxed{61}.",
"index": 8245,
"question": "Suppose a collection of variables is related by the following definitions: a = l + 11; q = c + 1; c = 7; u = c + 1; v = y + 17; f = u + 15; y = g + 10; k = f + 2; l = p + 17; n = v + 12; p = k + 16; g = q + 2; w = n + 12. Given that c = 7, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 1", "c": "z + 9", "w": "c + 9", "d": "w + 5", "h": "d + 3", "b": "h + 7", "s": "e + 19", "y": "s + 16", "u": "y + 18", "i": "u + 4", "f": "i + 18", "t": "f + 8", "e": 14}, "premises": {"e": 14}, "target": "b"}, "answer": {"steps": [["h", "d + 3", "d + 10"], ["d", "w + 5", "w + 15"], ["w", "c + 9", "c + 24"], ["c", "z + 9", "z + 33"], ["z", "e + 1", "e + 34"], ["e", 14, "48"]], "target_var_name": "b", "target_value": 48, "value_dict": {"e": 14}, "is_reverse": true}} | 8,246 | 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 = i + 18; h = d + 3; e = 14; z = e + 1; d = w + 5; t = f + 8; y = s + 16; u = y + 18; c = z + 9; s = e + 19; i = u + 4; w = c + 9; b = h + 7. If e = 14, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 3 to b, which gives b = d + 10.\n2. Substitute d = w + 5 to b, which gives b = w + 15.\n3. Substitute w = c + 9 to b, which gives b = c + 24.\n4. Substitute c = z + 9 to b, which gives b = z + 33.\n5. Substitute z = e + 1 to b, which gives b = e + 34.\n6. Substitute e = 14 to b, which gives b = 48.\n\nThus, the final answer is b = \\boxed{48}.",
"index": 8246,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = i + 18; h = d + 3; e = 14; z = e + 1; d = w + 5; t = f + 8; y = s + 16; u = y + 18; c = z + 9; s = e + 19; i = u + 4; w = c + 9; b = h + 7. If e = 14, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 8", "p": "m + 14", "d": "p + 12", "l": "d + 2", "b": "l + 9", "h": "b + 11", "x": "u + 20", "a": "x + 16", "j": "a + 13", "o": "j + 11", "q": "o + 13", "y": "q + 2", "u": 3}, "premises": {"u": 3}, "target": "h"}, "answer": {"steps": [["b", "l + 9", "l + 20"], ["l", "d + 2", "d + 22"], ["d", "p + 12", "p + 34"], ["p", "m + 14", "m + 48"], ["m", "u + 8", "u + 56"], ["u", 3, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"u": 3}, "is_reverse": true}} | 8,247 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = p + 12; l = d + 2; p = m + 14; q = o + 13; m = u + 8; u = 3; a = x + 16; h = b + 11; o = j + 11; b = l + 9; j = a + 13; y = q + 2; x = u + 20. Given that u = 3, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 9 to h, which gives h = l + 20.\n2. Substitute l = d + 2 to h, which gives h = d + 22.\n3. Substitute d = p + 12 to h, which gives h = p + 34.\n4. Substitute p = m + 14 to h, which gives h = m + 48.\n5. Substitute m = u + 8 to h, which gives h = u + 56.\n6. Substitute u = 3 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 8247,
"question": "Suppose a collection of variables is related by the following definitions: d = p + 12; l = d + 2; p = m + 14; q = o + 13; m = u + 8; u = 3; a = x + 16; h = b + 11; o = j + 11; b = l + 9; j = a + 13; y = q + 2; x = u + 20. Given that u = 3, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 7", "d": "e + 1", "q": "d + 15", "f": "q + 12", "m": "f + 1", "j": "m + 20", "p": "n + 16", "z": "p + 4", "h": "z + 17", "x": "h + 8", "w": "x + 7", "s": "w + 17", "n": 19}, "premises": {"n": 19}, "target": "j"}, "answer": {"steps": [["m", "f + 1", "f + 21"], ["f", "q + 12", "q + 33"], ["q", "d + 15", "d + 48"], ["d", "e + 1", "e + 49"], ["e", "n + 7", "n + 56"], ["n", 19, "75"]], "target_var_name": "j", "target_value": 75, "value_dict": {"n": 19}, "is_reverse": true}} | 8,248 | 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 = n + 7; s = w + 17; w = x + 7; m = f + 1; f = q + 12; h = z + 17; x = h + 8; q = d + 15; p = n + 16; d = e + 1; n = 19; j = m + 20; z = p + 4. If n = 19, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 1 to j, which gives j = f + 21.\n2. Substitute f = q + 12 to j, which gives j = q + 33.\n3. Substitute q = d + 15 to j, which gives j = d + 48.\n4. Substitute d = e + 1 to j, which gives j = e + 49.\n5. Substitute e = n + 7 to j, which gives j = n + 56.\n6. Substitute n = 19 to j, which gives j = 75.\n\nThus, the final answer is j = \\boxed{75}.",
"index": 8248,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = n + 7; s = w + 17; w = x + 7; m = f + 1; f = q + 12; h = z + 17; x = h + 8; q = d + 15; p = n + 16; d = e + 1; n = 19; j = m + 20; z = p + 4. If n = 19, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 15", "g": "o + 14", "j": "g + 12", "b": "j + 6", "n": "b + 9", "z": "n + 6", "w": "t + 16", "a": "w + 10", "m": "a + 7", "v": "m + 6", "s": "v + 13", "f": "s + 4", "t": 2}, "premises": {"t": 2}, "target": "z"}, "answer": {"steps": [["n", "b + 9", "b + 15"], ["b", "j + 6", "j + 21"], ["j", "g + 12", "g + 33"], ["g", "o + 14", "o + 47"], ["o", "t + 15", "t + 62"], ["t", 2, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"t": 2}, "is_reverse": true}} | 8,249 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = m + 6; m = a + 7; n = b + 9; w = t + 16; t = 2; f = s + 4; o = t + 15; a = w + 10; j = g + 12; b = j + 6; g = o + 14; z = n + 6; s = v + 13. If t = 2, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 9 to z, which gives z = b + 15.\n2. Substitute b = j + 6 to z, which gives z = j + 21.\n3. Substitute j = g + 12 to z, which gives z = g + 33.\n4. Substitute g = o + 14 to z, which gives z = o + 47.\n5. Substitute o = t + 15 to z, which gives z = t + 62.\n6. Substitute t = 2 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 8249,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = m + 6; m = a + 7; n = b + 9; w = t + 16; t = 2; f = s + 4; o = t + 15; a = w + 10; j = g + 12; b = j + 6; g = o + 14; z = n + 6; s = v + 13. If t = 2, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 13", "m": "a + 15", "l": "m + 14", "n": "l + 8", "r": "n + 17", "b": "r + 19", "x": "k + 3", "d": "x + 2", "t": "d + 20", "s": "t + 11", "o": "s + 3", "h": "o + 20", "k": 11}, "premises": {"k": 11}, "target": "b"}, "answer": {"steps": [["r", "n + 17", "n + 36"], ["n", "l + 8", "l + 44"], ["l", "m + 14", "m + 58"], ["m", "a + 15", "a + 73"], ["a", "k + 13", "k + 86"], ["k", 11, "97"]], "target_var_name": "b", "target_value": 97, "value_dict": {"k": 11}, "is_reverse": true}} | 8,250 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = a + 15; r = n + 17; h = o + 20; n = l + 8; x = k + 3; a = k + 13; o = s + 3; b = r + 19; s = t + 11; l = m + 14; k = 11; d = x + 2; t = d + 20. If k = 11, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 17 to b, which gives b = n + 36.\n2. Substitute n = l + 8 to b, which gives b = l + 44.\n3. Substitute l = m + 14 to b, which gives b = m + 58.\n4. Substitute m = a + 15 to b, which gives b = a + 73.\n5. Substitute a = k + 13 to b, which gives b = k + 86.\n6. Substitute k = 11 to b, which gives b = 97.\n\nThus, the final answer is b = \\boxed{97}.",
"index": 8250,
"question": "Consider a system of variables where each variable is defined as follows: m = a + 15; r = n + 17; h = o + 20; n = l + 8; x = k + 3; a = k + 13; o = s + 3; b = r + 19; s = t + 11; l = m + 14; k = 11; d = x + 2; t = d + 20. If k = 11, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 20", "g": "d + 11", "t": "g + 20", "a": "t + 1", "i": "a + 11", "s": "i + 3", "r": "j + 1", "o": "r + 15", "q": "o + 19", "w": "q + 14", "b": "w + 3", "f": "b + 9", "j": 7}, "premises": {"j": 7}, "target": "s"}, "answer": {"steps": [["i", "a + 11", "a + 14"], ["a", "t + 1", "t + 15"], ["t", "g + 20", "g + 35"], ["g", "d + 11", "d + 46"], ["d", "j + 20", "j + 66"], ["j", 7, "73"]], "target_var_name": "s", "target_value": 73, "value_dict": {"j": 7}, "is_reverse": true}} | 8,251 | 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 = j + 20; q = o + 19; b = w + 3; j = 7; s = i + 3; g = d + 11; a = t + 1; t = g + 20; w = q + 14; o = r + 15; r = j + 1; f = b + 9; i = a + 11. If j = 7, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 11 to s, which gives s = a + 14.\n2. Substitute a = t + 1 to s, which gives s = t + 15.\n3. Substitute t = g + 20 to s, which gives s = g + 35.\n4. Substitute g = d + 11 to s, which gives s = d + 46.\n5. Substitute d = j + 20 to s, which gives s = j + 66.\n6. Substitute j = 7 to s, which gives s = 73.\n\nThus, the final answer is s = \\boxed{73}.",
"index": 8251,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = j + 20; q = o + 19; b = w + 3; j = 7; s = i + 3; g = d + 11; a = t + 1; t = g + 20; w = q + 14; o = r + 15; r = j + 1; f = b + 9; i = a + 11. If j = 7, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 6", "m": "i + 3", "k": "m + 19", "x": "k + 3", "v": "x + 6", "y": "v + 8", "o": "z + 3", "p": "o + 5", "r": "p + 17", "d": "r + 12", "c": "d + 19", "t": "c + 8", "z": 13}, "premises": {"z": 13}, "target": "y"}, "answer": {"steps": [["v", "x + 6", "x + 14"], ["x", "k + 3", "k + 17"], ["k", "m + 19", "m + 36"], ["m", "i + 3", "i + 39"], ["i", "z + 6", "z + 45"], ["z", 13, "58"]], "target_var_name": "y", "target_value": 58, "value_dict": {"z": 13}, "is_reverse": true}} | 8,252 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = x + 6; z = 13; o = z + 3; x = k + 3; d = r + 12; k = m + 19; m = i + 3; y = v + 8; r = p + 17; i = z + 6; p = o + 5; c = d + 19; t = c + 8. Given that z = 13, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 6 to y, which gives y = x + 14.\n2. Substitute x = k + 3 to y, which gives y = k + 17.\n3. Substitute k = m + 19 to y, which gives y = m + 36.\n4. Substitute m = i + 3 to y, which gives y = i + 39.\n5. Substitute i = z + 6 to y, which gives y = z + 45.\n6. Substitute z = 13 to y, which gives y = 58.\n\nThus, the final answer is y = \\boxed{58}.",
"index": 8252,
"question": "Suppose a collection of variables is related by the following definitions: v = x + 6; z = 13; o = z + 3; x = k + 3; d = r + 12; k = m + 19; m = i + 3; y = v + 8; r = p + 17; i = z + 6; p = o + 5; c = d + 19; t = c + 8. Given that z = 13, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"r": "f + 3", "j": "r + 6", "b": "j + 13", "n": "b + 1", "d": "n + 4", "i": "d + 20", "c": "f + 7", "v": "c + 5", "z": "v + 2", "w": "z + 18", "m": "w + 20", "q": "m + 5", "f": 16}, "premises": {"f": 16}, "target": "i"}, "answer": {"steps": [["d", "n + 4", "n + 24"], ["n", "b + 1", "b + 25"], ["b", "j + 13", "j + 38"], ["j", "r + 6", "r + 44"], ["r", "f + 3", "f + 47"], ["f", 16, "63"]], "target_var_name": "i", "target_value": 63, "value_dict": {"f": 16}, "is_reverse": true}} | 8,253 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = f + 7; v = c + 5; q = m + 5; i = d + 20; m = w + 20; w = z + 18; j = r + 6; n = b + 1; r = f + 3; f = 16; z = v + 2; d = n + 4; b = j + 13. If f = 16, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 4 to i, which gives i = n + 24.\n2. Substitute n = b + 1 to i, which gives i = b + 25.\n3. Substitute b = j + 13 to i, which gives i = j + 38.\n4. Substitute j = r + 6 to i, which gives i = r + 44.\n5. Substitute r = f + 3 to i, which gives i = f + 47.\n6. Substitute f = 16 to i, which gives i = 63.\n\nThus, the final answer is i = \\boxed{63}.",
"index": 8253,
"question": "Consider a system of variables where each variable is defined as follows: c = f + 7; v = c + 5; q = m + 5; i = d + 20; m = w + 20; w = z + 18; j = r + 6; n = b + 1; r = f + 3; f = 16; z = v + 2; d = n + 4; b = j + 13. If f = 16, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "z + 7", "o": "w + 16", "g": "o + 3", "y": "g + 18", "j": "y + 13", "f": "j + 18", "m": "z + 7", "k": "m + 11", "n": "k + 3", "l": "n + 20", "u": "l + 5", "i": "u + 4", "z": 9}, "premises": {"z": 9}, "target": "f"}, "answer": {"steps": [["j", "y + 13", "y + 31"], ["y", "g + 18", "g + 49"], ["g", "o + 3", "o + 52"], ["o", "w + 16", "w + 68"], ["w", "z + 7", "z + 75"], ["z", 9, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"z": 9}, "is_reverse": true}} | 8,254 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = z + 7; w = z + 7; z = 9; n = k + 3; k = m + 11; f = j + 18; u = l + 5; j = y + 13; l = n + 20; g = o + 3; i = u + 4; y = g + 18; o = w + 16. Given that z = 9, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 13 to f, which gives f = y + 31.\n2. Substitute y = g + 18 to f, which gives f = g + 49.\n3. Substitute g = o + 3 to f, which gives f = o + 52.\n4. Substitute o = w + 16 to f, which gives f = w + 68.\n5. Substitute w = z + 7 to f, which gives f = z + 75.\n6. Substitute z = 9 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 8254,
"question": "Suppose a collection of variables is related by the following definitions: m = z + 7; w = z + 7; z = 9; n = k + 3; k = m + 11; f = j + 18; u = l + 5; j = y + 13; l = n + 20; g = o + 3; i = u + 4; y = g + 18; o = w + 16. Given that z = 9, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 11", "j": "x + 4", "n": "j + 15", "k": "n + 3", "e": "k + 10", "r": "e + 11", "p": "l + 13", "b": "p + 14", "d": "b + 7", "i": "d + 9", "h": "i + 1", "q": "h + 16", "l": 12}, "premises": {"l": 12}, "target": "r"}, "answer": {"steps": [["e", "k + 10", "k + 21"], ["k", "n + 3", "n + 24"], ["n", "j + 15", "j + 39"], ["j", "x + 4", "x + 43"], ["x", "l + 11", "l + 54"], ["l", 12, "66"]], "target_var_name": "r", "target_value": 66, "value_dict": {"l": 12}, "is_reverse": true}} | 8,255 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = n + 3; h = i + 1; r = e + 11; d = b + 7; l = 12; i = d + 9; n = j + 15; x = l + 11; p = l + 13; q = h + 16; e = k + 10; b = p + 14; j = x + 4. Given that l = 12, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 10 to r, which gives r = k + 21.\n2. Substitute k = n + 3 to r, which gives r = n + 24.\n3. Substitute n = j + 15 to r, which gives r = j + 39.\n4. Substitute j = x + 4 to r, which gives r = x + 43.\n5. Substitute x = l + 11 to r, which gives r = l + 54.\n6. Substitute l = 12 to r, which gives r = 66.\n\nThus, the final answer is r = \\boxed{66}.",
"index": 8255,
"question": "Suppose a collection of variables is related by the following definitions: k = n + 3; h = i + 1; r = e + 11; d = b + 7; l = 12; i = d + 9; n = j + 15; x = l + 11; p = l + 13; q = h + 16; e = k + 10; b = p + 14; j = x + 4. Given that l = 12, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 5", "n": "c + 20", "v": "n + 8", "p": "v + 12", "e": "p + 18", "l": "e + 20", "s": "y + 17", "m": "s + 16", "x": "m + 2", "j": "x + 3", "r": "j + 19", "h": "r + 3", "y": 18}, "premises": {"y": 18}, "target": "l"}, "answer": {"steps": [["e", "p + 18", "p + 38"], ["p", "v + 12", "v + 50"], ["v", "n + 8", "n + 58"], ["n", "c + 20", "c + 78"], ["c", "y + 5", "y + 83"], ["y", 18, "101"]], "target_var_name": "l", "target_value": 101, "value_dict": {"y": 18}, "is_reverse": true}} | 8,256 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 18; e = p + 18; x = m + 2; c = y + 5; r = j + 19; j = x + 3; n = c + 20; h = r + 3; m = s + 16; p = v + 12; s = y + 17; l = e + 20; v = n + 8. Given that y = 18, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 18 to l, which gives l = p + 38.\n2. Substitute p = v + 12 to l, which gives l = v + 50.\n3. Substitute v = n + 8 to l, which gives l = n + 58.\n4. Substitute n = c + 20 to l, which gives l = c + 78.\n5. Substitute c = y + 5 to l, which gives l = y + 83.\n6. Substitute y = 18 to l, which gives l = 101.\n\nThus, the final answer is l = \\boxed{101}.",
"index": 8256,
"question": "Suppose a collection of variables is related by the following definitions: y = 18; e = p + 18; x = m + 2; c = y + 5; r = j + 19; j = x + 3; n = c + 20; h = r + 3; m = s + 16; p = v + 12; s = y + 17; l = e + 20; v = n + 8. Given that y = 18, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 3", "k": "n + 9", "g": "k + 7", "d": "g + 20", "v": "d + 7", "m": "v + 18", "u": "r + 11", "e": "u + 2", "o": "e + 10", "s": "o + 16", "x": "s + 17", "h": "x + 19", "r": 8}, "premises": {"r": 8}, "target": "m"}, "answer": {"steps": [["v", "d + 7", "d + 25"], ["d", "g + 20", "g + 45"], ["g", "k + 7", "k + 52"], ["k", "n + 9", "n + 61"], ["n", "r + 3", "r + 64"], ["r", 8, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"r": 8}, "is_reverse": true}} | 8,257 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = k + 7; k = n + 9; o = e + 10; s = o + 16; h = x + 19; d = g + 20; u = r + 11; e = u + 2; x = s + 17; r = 8; v = d + 7; n = r + 3; m = v + 18. Given that r = 8, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 7 to m, which gives m = d + 25.\n2. Substitute d = g + 20 to m, which gives m = g + 45.\n3. Substitute g = k + 7 to m, which gives m = k + 52.\n4. Substitute k = n + 9 to m, which gives m = n + 61.\n5. Substitute n = r + 3 to m, which gives m = r + 64.\n6. Substitute r = 8 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 8257,
"question": "Suppose a collection of variables is related by the following definitions: g = k + 7; k = n + 9; o = e + 10; s = o + 16; h = x + 19; d = g + 20; u = r + 11; e = u + 2; x = s + 17; r = 8; v = d + 7; n = r + 3; m = v + 18. Given that r = 8, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"j": "d + 13", "p": "j + 15", "x": "p + 5", "k": "x + 17", "a": "k + 11", "y": "a + 20", "w": "d + 7", "e": "w + 6", "s": "e + 6", "l": "s + 17", "v": "l + 12", "g": "v + 9", "d": 5}, "premises": {"d": 5}, "target": "y"}, "answer": {"steps": [["a", "k + 11", "k + 31"], ["k", "x + 17", "x + 48"], ["x", "p + 5", "p + 53"], ["p", "j + 15", "j + 68"], ["j", "d + 13", "d + 81"], ["d", 5, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"d": 5}, "is_reverse": true}} | 8,258 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = v + 9; s = e + 6; p = j + 15; x = p + 5; v = l + 12; k = x + 17; l = s + 17; y = a + 20; w = d + 7; e = w + 6; a = k + 11; j = d + 13; d = 5. If d = 5, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 11 to y, which gives y = k + 31.\n2. Substitute k = x + 17 to y, which gives y = x + 48.\n3. Substitute x = p + 5 to y, which gives y = p + 53.\n4. Substitute p = j + 15 to y, which gives y = j + 68.\n5. Substitute j = d + 13 to y, which gives y = d + 81.\n6. Substitute d = 5 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 8258,
"question": "Consider a system of variables where each variable is defined as follows: g = v + 9; s = e + 6; p = j + 15; x = p + 5; v = l + 12; k = x + 17; l = s + 17; y = a + 20; w = d + 7; e = w + 6; a = k + 11; j = d + 13; d = 5. If d = 5, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 8", "r": "u + 4", "k": "r + 3", "b": "k + 15", "n": "b + 16", "w": "n + 15", "s": "m + 9", "g": "s + 2", "l": "g + 17", "d": "l + 10", "z": "d + 16", "v": "z + 16", "m": 19}, "premises": {"m": 19}, "target": "w"}, "answer": {"steps": [["n", "b + 16", "b + 31"], ["b", "k + 15", "k + 46"], ["k", "r + 3", "r + 49"], ["r", "u + 4", "u + 53"], ["u", "m + 8", "m + 61"], ["m", 19, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"m": 19}, "is_reverse": true}} | 8,259 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 15; n = b + 16; r = u + 4; m = 19; k = r + 3; u = m + 8; z = d + 16; s = m + 9; g = s + 2; w = n + 15; v = z + 16; d = l + 10; l = g + 17. If m = 19, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 16 to w, which gives w = b + 31.\n2. Substitute b = k + 15 to w, which gives w = k + 46.\n3. Substitute k = r + 3 to w, which gives w = r + 49.\n4. Substitute r = u + 4 to w, which gives w = u + 53.\n5. Substitute u = m + 8 to w, which gives w = m + 61.\n6. Substitute m = 19 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 8259,
"question": "Consider a system of variables where each variable is defined as follows: b = k + 15; n = b + 16; r = u + 4; m = 19; k = r + 3; u = m + 8; z = d + 16; s = m + 9; g = s + 2; w = n + 15; v = z + 16; d = l + 10; l = g + 17. If m = 19, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 9", "a": "r + 12", "m": "a + 2", "n": "m + 16", "g": "n + 4", "y": "g + 7", "w": "c + 2", "b": "w + 3", "s": "b + 6", "i": "s + 18", "q": "i + 17", "h": "q + 2", "c": 10}, "premises": {"c": 10}, "target": "y"}, "answer": {"steps": [["g", "n + 4", "n + 11"], ["n", "m + 16", "m + 27"], ["m", "a + 2", "a + 29"], ["a", "r + 12", "r + 41"], ["r", "c + 9", "c + 50"], ["c", 10, "60"]], "target_var_name": "y", "target_value": 60, "value_dict": {"c": 10}, "is_reverse": true}} | 8,260 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = s + 18; h = q + 2; r = c + 9; s = b + 6; b = w + 3; m = a + 2; q = i + 17; n = m + 16; y = g + 7; a = r + 12; w = c + 2; g = n + 4; c = 10. If c = 10, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 4 to y, which gives y = n + 11.\n2. Substitute n = m + 16 to y, which gives y = m + 27.\n3. Substitute m = a + 2 to y, which gives y = a + 29.\n4. Substitute a = r + 12 to y, which gives y = r + 41.\n5. Substitute r = c + 9 to y, which gives y = c + 50.\n6. Substitute c = 10 to y, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 8260,
"question": "Consider a system of variables where each variable is defined as follows: i = s + 18; h = q + 2; r = c + 9; s = b + 6; b = w + 3; m = a + 2; q = i + 17; n = m + 16; y = g + 7; a = r + 12; w = c + 2; g = n + 4; c = 10. If c = 10, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 6", "n": "k + 18", "x": "n + 1", "h": "x + 16", "q": "h + 15", "g": "q + 10", "u": "v + 11", "c": "u + 13", "z": "c + 6", "m": "z + 2", "y": "m + 17", "w": "y + 11", "v": 6}, "premises": {"v": 6}, "target": "g"}, "answer": {"steps": [["q", "h + 15", "h + 25"], ["h", "x + 16", "x + 41"], ["x", "n + 1", "n + 42"], ["n", "k + 18", "k + 60"], ["k", "v + 6", "v + 66"], ["v", 6, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"v": 6}, "is_reverse": true}} | 8,261 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = n + 1; m = z + 2; y = m + 17; u = v + 11; z = c + 6; v = 6; g = q + 10; k = v + 6; c = u + 13; n = k + 18; q = h + 15; h = x + 16; w = y + 11. If v = 6, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 15 to g, which gives g = h + 25.\n2. Substitute h = x + 16 to g, which gives g = x + 41.\n3. Substitute x = n + 1 to g, which gives g = n + 42.\n4. Substitute n = k + 18 to g, which gives g = k + 60.\n5. Substitute k = v + 6 to g, which gives g = v + 66.\n6. Substitute v = 6 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 8261,
"question": "Consider a system of variables where each variable is defined as follows: x = n + 1; m = z + 2; y = m + 17; u = v + 11; z = c + 6; v = 6; g = q + 10; k = v + 6; c = u + 13; n = k + 18; q = h + 15; h = x + 16; w = y + 11. If v = 6, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "w + 17", "a": "f + 18", "z": "a + 13", "n": "z + 12", "l": "n + 14", "r": "l + 15", "t": "w + 13", "i": "t + 1", "h": "i + 7", "m": "h + 13", "v": "m + 10", "g": "v + 13", "w": 10}, "premises": {"w": 10}, "target": "r"}, "answer": {"steps": [["l", "n + 14", "n + 29"], ["n", "z + 12", "z + 41"], ["z", "a + 13", "a + 54"], ["a", "f + 18", "f + 72"], ["f", "w + 17", "w + 89"], ["w", 10, "99"]], "target_var_name": "r", "target_value": 99, "value_dict": {"w": 10}, "is_reverse": true}} | 8,262 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = l + 15; f = w + 17; n = z + 12; g = v + 13; v = m + 10; z = a + 13; a = f + 18; l = n + 14; w = 10; i = t + 1; m = h + 13; t = w + 13; h = i + 7. If w = 10, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 14 to r, which gives r = n + 29.\n2. Substitute n = z + 12 to r, which gives r = z + 41.\n3. Substitute z = a + 13 to r, which gives r = a + 54.\n4. Substitute a = f + 18 to r, which gives r = f + 72.\n5. Substitute f = w + 17 to r, which gives r = w + 89.\n6. Substitute w = 10 to r, which gives r = 99.\n\nThus, the final answer is r = \\boxed{99}.",
"index": 8262,
"question": "Consider a system of variables where each variable is defined as follows: r = l + 15; f = w + 17; n = z + 12; g = v + 13; v = m + 10; z = a + 13; a = f + 18; l = n + 14; w = 10; i = t + 1; m = h + 13; t = w + 13; h = i + 7. If w = 10, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 9", "q": "k + 1", "g": "q + 12", "v": "g + 6", "n": "v + 2", "o": "n + 1", "i": "j + 13", "s": "i + 11", "h": "s + 14", "m": "h + 13", "l": "m + 11", "y": "l + 3", "j": 15}, "premises": {"j": 15}, "target": "o"}, "answer": {"steps": [["n", "v + 2", "v + 3"], ["v", "g + 6", "g + 9"], ["g", "q + 12", "q + 21"], ["q", "k + 1", "k + 22"], ["k", "j + 9", "j + 31"], ["j", 15, "46"]], "target_var_name": "o", "target_value": 46, "value_dict": {"j": 15}, "is_reverse": true}} | 8,263 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = q + 12; n = v + 2; i = j + 13; l = m + 11; o = n + 1; s = i + 11; v = g + 6; k = j + 9; q = k + 1; m = h + 13; h = s + 14; y = l + 3; j = 15. Given that j = 15, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 2 to o, which gives o = v + 3.\n2. Substitute v = g + 6 to o, which gives o = g + 9.\n3. Substitute g = q + 12 to o, which gives o = q + 21.\n4. Substitute q = k + 1 to o, which gives o = k + 22.\n5. Substitute k = j + 9 to o, which gives o = j + 31.\n6. Substitute j = 15 to o, which gives o = 46.\n\nThus, the final answer is o = \\boxed{46}.",
"index": 8263,
"question": "Suppose a collection of variables is related by the following definitions: g = q + 12; n = v + 2; i = j + 13; l = m + 11; o = n + 1; s = i + 11; v = g + 6; k = j + 9; q = k + 1; m = h + 13; h = s + 14; y = l + 3; j = 15. Given that j = 15, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 14", "w": "f + 17", "s": "w + 16", "y": "s + 19", "o": "y + 2", "d": "o + 19", "l": "n + 2", "u": "l + 17", "p": "u + 9", "r": "p + 19", "z": "r + 3", "x": "z + 5", "n": 17}, "premises": {"n": 17}, "target": "d"}, "answer": {"steps": [["o", "y + 2", "y + 21"], ["y", "s + 19", "s + 40"], ["s", "w + 16", "w + 56"], ["w", "f + 17", "f + 73"], ["f", "n + 14", "n + 87"], ["n", 17, "104"]], "target_var_name": "d", "target_value": 104, "value_dict": {"n": 17}, "is_reverse": true}} | 8,264 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = z + 5; r = p + 19; u = l + 17; o = y + 2; y = s + 19; p = u + 9; s = w + 16; l = n + 2; n = 17; w = f + 17; z = r + 3; d = o + 19; f = n + 14. If n = 17, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 2 to d, which gives d = y + 21.\n2. Substitute y = s + 19 to d, which gives d = s + 40.\n3. Substitute s = w + 16 to d, which gives d = w + 56.\n4. Substitute w = f + 17 to d, which gives d = f + 73.\n5. Substitute f = n + 14 to d, which gives d = n + 87.\n6. Substitute n = 17 to d, which gives d = 104.\n\nThus, the final answer is d = \\boxed{104}.",
"index": 8264,
"question": "Consider a system of variables where each variable is defined as follows: x = z + 5; r = p + 19; u = l + 17; o = y + 2; y = s + 19; p = u + 9; s = w + 16; l = n + 2; n = 17; w = f + 17; z = r + 3; d = o + 19; f = n + 14. If n = 17, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 6", "t": "o + 17", "z": "t + 5", "c": "z + 11", "x": "c + 19", "b": "x + 10", "j": "g + 20", "q": "j + 16", "a": "q + 6", "w": "a + 10", "i": "w + 16", "v": "i + 17", "g": 15}, "premises": {"g": 15}, "target": "b"}, "answer": {"steps": [["x", "c + 19", "c + 29"], ["c", "z + 11", "z + 40"], ["z", "t + 5", "t + 45"], ["t", "o + 17", "o + 62"], ["o", "g + 6", "g + 68"], ["g", 15, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"g": 15}, "is_reverse": true}} | 8,265 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = a + 10; v = i + 17; c = z + 11; a = q + 6; i = w + 16; j = g + 20; o = g + 6; b = x + 10; q = j + 16; z = t + 5; g = 15; x = c + 19; t = o + 17. If g = 15, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 19 to b, which gives b = c + 29.\n2. Substitute c = z + 11 to b, which gives b = z + 40.\n3. Substitute z = t + 5 to b, which gives b = t + 45.\n4. Substitute t = o + 17 to b, which gives b = o + 62.\n5. Substitute o = g + 6 to b, which gives b = g + 68.\n6. Substitute g = 15 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 8265,
"question": "Consider a system of variables where each variable is defined as follows: w = a + 10; v = i + 17; c = z + 11; a = q + 6; i = w + 16; j = g + 20; o = g + 6; b = x + 10; q = j + 16; z = t + 5; g = 15; x = c + 19; t = o + 17. If g = 15, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 15", "n": "c + 17", "w": "n + 8", "l": "w + 11", "o": "l + 4", "s": "o + 17", "e": "p + 9", "b": "e + 10", "z": "b + 20", "t": "z + 17", "j": "t + 12", "d": "j + 11", "p": 8}, "premises": {"p": 8}, "target": "s"}, "answer": {"steps": [["o", "l + 4", "l + 21"], ["l", "w + 11", "w + 32"], ["w", "n + 8", "n + 40"], ["n", "c + 17", "c + 57"], ["c", "p + 15", "p + 72"], ["p", 8, "80"]], "target_var_name": "s", "target_value": 80, "value_dict": {"p": 8}, "is_reverse": true}} | 8,266 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = p + 15; d = j + 11; o = l + 4; z = b + 20; e = p + 9; s = o + 17; l = w + 11; w = n + 8; n = c + 17; t = z + 17; b = e + 10; p = 8; j = t + 12. If p = 8, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 4 to s, which gives s = l + 21.\n2. Substitute l = w + 11 to s, which gives s = w + 32.\n3. Substitute w = n + 8 to s, which gives s = n + 40.\n4. Substitute n = c + 17 to s, which gives s = c + 57.\n5. Substitute c = p + 15 to s, which gives s = p + 72.\n6. Substitute p = 8 to s, which gives s = 80.\n\nThus, the final answer is s = \\boxed{80}.",
"index": 8266,
"question": "Consider a system of variables where each variable is defined as follows: c = p + 15; d = j + 11; o = l + 4; z = b + 20; e = p + 9; s = o + 17; l = w + 11; w = n + 8; n = c + 17; t = z + 17; b = e + 10; p = 8; j = t + 12. If p = 8, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"q": "b + 4", "j": "q + 20", "z": "j + 8", "o": "z + 16", "i": "o + 3", "h": "i + 20", "d": "b + 12", "l": "d + 16", "m": "l + 13", "y": "m + 11", "k": "y + 5", "c": "k + 8", "b": 4}, "premises": {"b": 4}, "target": "h"}, "answer": {"steps": [["i", "o + 3", "o + 23"], ["o", "z + 16", "z + 39"], ["z", "j + 8", "j + 47"], ["j", "q + 20", "q + 67"], ["q", "b + 4", "b + 71"], ["b", 4, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"b": 4}, "is_reverse": true}} | 8,267 | 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 + 4; i = o + 3; l = d + 16; y = m + 11; o = z + 16; d = b + 12; z = j + 8; h = i + 20; k = y + 5; c = k + 8; m = l + 13; j = q + 20; b = 4. If b = 4, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 3 to h, which gives h = o + 23.\n2. Substitute o = z + 16 to h, which gives h = z + 39.\n3. Substitute z = j + 8 to h, which gives h = j + 47.\n4. Substitute j = q + 20 to h, which gives h = q + 67.\n5. Substitute q = b + 4 to h, which gives h = b + 71.\n6. Substitute b = 4 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 8267,
"question": "Consider a system of variables where each variable is defined as follows: q = b + 4; i = o + 3; l = d + 16; y = m + 11; o = z + 16; d = b + 12; z = j + 8; h = i + 20; k = y + 5; c = k + 8; m = l + 13; j = q + 20; b = 4. If b = 4, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 6", "q": "t + 4", "h": "q + 17", "s": "h + 12", "u": "s + 6", "w": "u + 18", "d": "o + 8", "v": "d + 4", "r": "v + 13", "m": "r + 17", "z": "m + 17", "a": "z + 4", "o": 5}, "premises": {"o": 5}, "target": "w"}, "answer": {"steps": [["u", "s + 6", "s + 24"], ["s", "h + 12", "h + 36"], ["h", "q + 17", "q + 53"], ["q", "t + 4", "t + 57"], ["t", "o + 6", "o + 63"], ["o", 5, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"o": 5}, "is_reverse": true}} | 8,268 | 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 = z + 4; z = m + 17; t = o + 6; o = 5; w = u + 18; m = r + 17; q = t + 4; r = v + 13; h = q + 17; s = h + 12; d = o + 8; v = d + 4; u = s + 6. If o = 5, what is the resulting 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 u = s + 6 to w, which gives w = s + 24.\n2. Substitute s = h + 12 to w, which gives w = h + 36.\n3. Substitute h = q + 17 to w, which gives w = q + 53.\n4. Substitute q = t + 4 to w, which gives w = t + 57.\n5. Substitute t = o + 6 to w, which gives w = o + 63.\n6. Substitute o = 5 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 8268,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = z + 4; z = m + 17; t = o + 6; o = 5; w = u + 18; m = r + 17; q = t + 4; r = v + 13; h = q + 17; s = h + 12; d = o + 8; v = d + 4; u = s + 6. If o = 5, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 10", "t": "z + 7", "f": "t + 10", "k": "f + 18", "i": "k + 8", "w": "i + 17", "a": "m + 13", "p": "a + 4", "r": "p + 12", "y": "r + 18", "e": "y + 14", "s": "e + 16", "m": 7}, "premises": {"m": 7}, "target": "w"}, "answer": {"steps": [["i", "k + 8", "k + 25"], ["k", "f + 18", "f + 43"], ["f", "t + 10", "t + 53"], ["t", "z + 7", "z + 60"], ["z", "m + 10", "m + 70"], ["m", 7, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"m": 7}, "is_reverse": true}} | 8,269 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = k + 8; z = m + 10; f = t + 10; k = f + 18; s = e + 16; r = p + 12; p = a + 4; y = r + 18; w = i + 17; t = z + 7; a = m + 13; m = 7; e = y + 14. Given that m = 7, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 8 to w, which gives w = k + 25.\n2. Substitute k = f + 18 to w, which gives w = f + 43.\n3. Substitute f = t + 10 to w, which gives w = t + 53.\n4. Substitute t = z + 7 to w, which gives w = z + 60.\n5. Substitute z = m + 10 to w, which gives w = m + 70.\n6. Substitute m = 7 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 8269,
"question": "Suppose a collection of variables is related by the following definitions: i = k + 8; z = m + 10; f = t + 10; k = f + 18; s = e + 16; r = p + 12; p = a + 4; y = r + 18; w = i + 17; t = z + 7; a = m + 13; m = 7; e = y + 14. Given that m = 7, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 11", "m": "k + 17", "d": "m + 2", "s": "d + 15", "a": "s + 9", "f": "a + 3", "v": "t + 13", "j": "v + 2", "w": "j + 18", "p": "w + 16", "h": "p + 7", "g": "h + 7", "t": 16}, "premises": {"t": 16}, "target": "f"}, "answer": {"steps": [["a", "s + 9", "s + 12"], ["s", "d + 15", "d + 27"], ["d", "m + 2", "m + 29"], ["m", "k + 17", "k + 46"], ["k", "t + 11", "t + 57"], ["t", 16, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"t": 16}, "is_reverse": true}} | 8,270 | 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 = d + 15; d = m + 2; j = v + 2; h = p + 7; p = w + 16; m = k + 17; a = s + 9; w = j + 18; k = t + 11; t = 16; g = h + 7; f = a + 3; v = t + 13. If t = 16, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 9 to f, which gives f = s + 12.\n2. Substitute s = d + 15 to f, which gives f = d + 27.\n3. Substitute d = m + 2 to f, which gives f = m + 29.\n4. Substitute m = k + 17 to f, which gives f = k + 46.\n5. Substitute k = t + 11 to f, which gives f = t + 57.\n6. Substitute t = 16 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 8270,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = d + 15; d = m + 2; j = v + 2; h = p + 7; p = w + 16; m = k + 17; a = s + 9; w = j + 18; k = t + 11; t = 16; g = h + 7; f = a + 3; v = t + 13. If t = 16, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 5", "s": "m + 11", "n": "s + 16", "g": "n + 15", "z": "g + 2", "j": "z + 11", "v": "e + 7", "c": "v + 17", "x": "c + 1", "d": "x + 11", "u": "d + 3", "a": "u + 11", "e": 2}, "premises": {"e": 2}, "target": "j"}, "answer": {"steps": [["z", "g + 2", "g + 13"], ["g", "n + 15", "n + 28"], ["n", "s + 16", "s + 44"], ["s", "m + 11", "m + 55"], ["m", "e + 5", "e + 60"], ["e", 2, "62"]], "target_var_name": "j", "target_value": 62, "value_dict": {"e": 2}, "is_reverse": true}} | 8,271 | 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 = 2; u = d + 3; c = v + 17; n = s + 16; j = z + 11; z = g + 2; g = n + 15; x = c + 1; v = e + 7; a = u + 11; d = x + 11; m = e + 5; s = m + 11. If e = 2, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 2 to j, which gives j = g + 13.\n2. Substitute g = n + 15 to j, which gives j = n + 28.\n3. Substitute n = s + 16 to j, which gives j = s + 44.\n4. Substitute s = m + 11 to j, which gives j = m + 55.\n5. Substitute m = e + 5 to j, which gives j = e + 60.\n6. Substitute e = 2 to j, which gives j = 62.\n\nThus, the final answer is j = \\boxed{62}.",
"index": 8271,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 2; u = d + 3; c = v + 17; n = s + 16; j = z + 11; z = g + 2; g = n + 15; x = c + 1; v = e + 7; a = u + 11; d = x + 11; m = e + 5; s = m + 11. If e = 2, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 14", "m": "l + 14", "i": "m + 11", "q": "i + 13", "p": "q + 4", "s": "p + 8", "z": "v + 7", "w": "z + 12", "k": "w + 7", "u": "k + 2", "y": "u + 11", "c": "y + 6", "v": 6}, "premises": {"v": 6}, "target": "s"}, "answer": {"steps": [["p", "q + 4", "q + 12"], ["q", "i + 13", "i + 25"], ["i", "m + 11", "m + 36"], ["m", "l + 14", "l + 50"], ["l", "v + 14", "v + 64"], ["v", 6, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"v": 6}, "is_reverse": true}} | 8,272 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = k + 2; y = u + 11; q = i + 13; c = y + 6; z = v + 7; s = p + 8; v = 6; p = q + 4; m = l + 14; i = m + 11; k = w + 7; w = z + 12; l = v + 14. Given that v = 6, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 4 to s, which gives s = q + 12.\n2. Substitute q = i + 13 to s, which gives s = i + 25.\n3. Substitute i = m + 11 to s, which gives s = m + 36.\n4. Substitute m = l + 14 to s, which gives s = l + 50.\n5. Substitute l = v + 14 to s, which gives s = v + 64.\n6. Substitute v = 6 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 8272,
"question": "Suppose a collection of variables is related by the following definitions: u = k + 2; y = u + 11; q = i + 13; c = y + 6; z = v + 7; s = p + 8; v = 6; p = q + 4; m = l + 14; i = m + 11; k = w + 7; w = z + 12; l = v + 14. Given that v = 6, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 9", "i": "w + 15", "f": "i + 14", "c": "f + 12", "l": "c + 6", "y": "l + 9", "h": "a + 15", "m": "h + 19", "x": "m + 12", "q": "x + 15", "b": "q + 19", "u": "b + 11", "a": 9}, "premises": {"a": 9}, "target": "y"}, "answer": {"steps": [["l", "c + 6", "c + 15"], ["c", "f + 12", "f + 27"], ["f", "i + 14", "i + 41"], ["i", "w + 15", "w + 56"], ["w", "a + 9", "a + 65"], ["a", 9, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"a": 9}, "is_reverse": true}} | 8,273 | 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 = q + 19; w = a + 9; f = i + 14; l = c + 6; a = 9; m = h + 19; h = a + 15; u = b + 11; x = m + 12; i = w + 15; y = l + 9; q = x + 15; c = f + 12. If a = 9, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 6 to y, which gives y = c + 15.\n2. Substitute c = f + 12 to y, which gives y = f + 27.\n3. Substitute f = i + 14 to y, which gives y = i + 41.\n4. Substitute i = w + 15 to y, which gives y = w + 56.\n5. Substitute w = a + 9 to y, which gives y = a + 65.\n6. Substitute a = 9 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 8273,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = q + 19; w = a + 9; f = i + 14; l = c + 6; a = 9; m = h + 19; h = a + 15; u = b + 11; x = m + 12; i = w + 15; y = l + 9; q = x + 15; c = f + 12. If a = 9, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 8", "s": "d + 19", "b": "s + 7", "j": "b + 3", "l": "j + 14", "m": "l + 6", "g": "t + 8", "n": "g + 2", "c": "n + 20", "h": "c + 20", "u": "h + 8", "f": "u + 2", "t": 10}, "premises": {"t": 10}, "target": "m"}, "answer": {"steps": [["l", "j + 14", "j + 20"], ["j", "b + 3", "b + 23"], ["b", "s + 7", "s + 30"], ["s", "d + 19", "d + 49"], ["d", "t + 8", "t + 57"], ["t", 10, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"t": 10}, "is_reverse": true}} | 8,274 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = s + 7; h = c + 20; c = n + 20; u = h + 8; n = g + 2; l = j + 14; j = b + 3; f = u + 2; t = 10; g = t + 8; s = d + 19; m = l + 6; d = t + 8. Given that t = 10, find 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 l = j + 14 to m, which gives m = j + 20.\n2. Substitute j = b + 3 to m, which gives m = b + 23.\n3. Substitute b = s + 7 to m, which gives m = s + 30.\n4. Substitute s = d + 19 to m, which gives m = d + 49.\n5. Substitute d = t + 8 to m, which gives m = t + 57.\n6. Substitute t = 10 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 8274,
"question": "Suppose a collection of variables is related by the following definitions: b = s + 7; h = c + 20; c = n + 20; u = h + 8; n = g + 2; l = j + 14; j = b + 3; f = u + 2; t = 10; g = t + 8; s = d + 19; m = l + 6; d = t + 8. Given that t = 10, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "s + 1", "g": "x + 2", "i": "g + 11", "j": "i + 11", "h": "j + 4", "f": "h + 7", "u": "s + 8", "e": "u + 2", "m": "e + 12", "z": "m + 15", "y": "z + 7", "t": "y + 12", "s": 2}, "premises": {"s": 2}, "target": "f"}, "answer": {"steps": [["h", "j + 4", "j + 11"], ["j", "i + 11", "i + 22"], ["i", "g + 11", "g + 33"], ["g", "x + 2", "x + 35"], ["x", "s + 1", "s + 36"], ["s", 2, "38"]], "target_var_name": "f", "target_value": 38, "value_dict": {"s": 2}, "is_reverse": true}} | 8,275 | 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 = j + 4; z = m + 15; t = y + 12; j = i + 11; g = x + 2; m = e + 12; s = 2; i = g + 11; y = z + 7; e = u + 2; f = h + 7; u = s + 8; x = s + 1. If s = 2, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 38,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 4 to f, which gives f = j + 11.\n2. Substitute j = i + 11 to f, which gives f = i + 22.\n3. Substitute i = g + 11 to f, which gives f = g + 33.\n4. Substitute g = x + 2 to f, which gives f = x + 35.\n5. Substitute x = s + 1 to f, which gives f = s + 36.\n6. Substitute s = 2 to f, which gives f = 38.\n\nThus, the final answer is f = \\boxed{38}.",
"index": 8275,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = j + 4; z = m + 15; t = y + 12; j = i + 11; g = x + 2; m = e + 12; s = 2; i = g + 11; y = z + 7; e = u + 2; f = h + 7; u = s + 8; x = s + 1. If s = 2, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 12", "o": "v + 12", "f": "o + 5", "e": "f + 12", "x": "e + 20", "z": "x + 10", "b": "q + 9", "m": "b + 15", "c": "m + 4", "u": "c + 3", "k": "u + 20", "y": "k + 5", "q": 2}, "premises": {"q": 2}, "target": "z"}, "answer": {"steps": [["x", "e + 20", "e + 30"], ["e", "f + 12", "f + 42"], ["f", "o + 5", "o + 47"], ["o", "v + 12", "v + 59"], ["v", "q + 12", "q + 71"], ["q", 2, "73"]], "target_var_name": "z", "target_value": 73, "value_dict": {"q": 2}, "is_reverse": true}} | 8,276 | 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 = 2; k = u + 20; x = e + 20; v = q + 12; e = f + 12; f = o + 5; c = m + 4; o = v + 12; y = k + 5; b = q + 9; z = x + 10; u = c + 3; m = b + 15. If q = 2, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 20 to z, which gives z = e + 30.\n2. Substitute e = f + 12 to z, which gives z = f + 42.\n3. Substitute f = o + 5 to z, which gives z = o + 47.\n4. Substitute o = v + 12 to z, which gives z = v + 59.\n5. Substitute v = q + 12 to z, which gives z = q + 71.\n6. Substitute q = 2 to z, which gives z = 73.\n\nThus, the final answer is z = \\boxed{73}.",
"index": 8276,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 2; k = u + 20; x = e + 20; v = q + 12; e = f + 12; f = o + 5; c = m + 4; o = v + 12; y = k + 5; b = q + 9; z = x + 10; u = c + 3; m = b + 15. If q = 2, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"t": "h + 6", "c": "t + 20", "z": "c + 8", "w": "z + 9", "b": "w + 14", "f": "b + 19", "k": "h + 10", "e": "k + 6", "n": "e + 13", "v": "n + 5", "p": "v + 11", "u": "p + 8", "h": 14}, "premises": {"h": 14}, "target": "f"}, "answer": {"steps": [["b", "w + 14", "w + 33"], ["w", "z + 9", "z + 42"], ["z", "c + 8", "c + 50"], ["c", "t + 20", "t + 70"], ["t", "h + 6", "h + 76"], ["h", 14, "90"]], "target_var_name": "f", "target_value": 90, "value_dict": {"h": 14}, "is_reverse": true}} | 8,277 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = k + 6; w = z + 9; h = 14; f = b + 19; z = c + 8; v = n + 5; k = h + 10; c = t + 20; t = h + 6; p = v + 11; b = w + 14; n = e + 13; u = p + 8. If h = 14, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 14 to f, which gives f = w + 33.\n2. Substitute w = z + 9 to f, which gives f = z + 42.\n3. Substitute z = c + 8 to f, which gives f = c + 50.\n4. Substitute c = t + 20 to f, which gives f = t + 70.\n5. Substitute t = h + 6 to f, which gives f = h + 76.\n6. Substitute h = 14 to f, which gives f = 90.\n\nThus, the final answer is f = \\boxed{90}.",
"index": 8277,
"question": "Consider a system of variables where each variable is defined as follows: e = k + 6; w = z + 9; h = 14; f = b + 19; z = c + 8; v = n + 5; k = h + 10; c = t + 20; t = h + 6; p = v + 11; b = w + 14; n = e + 13; u = p + 8. If h = 14, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 12", "z": "x + 16", "g": "z + 8", "n": "g + 4", "v": "n + 8", "k": "v + 2", "t": "y + 5", "s": "t + 20", "m": "s + 11", "p": "m + 16", "l": "p + 16", "i": "l + 5", "y": 19}, "premises": {"y": 19}, "target": "k"}, "answer": {"steps": [["v", "n + 8", "n + 10"], ["n", "g + 4", "g + 14"], ["g", "z + 8", "z + 22"], ["z", "x + 16", "x + 38"], ["x", "y + 12", "y + 50"], ["y", 19, "69"]], "target_var_name": "k", "target_value": 69, "value_dict": {"y": 19}, "is_reverse": true}} | 8,278 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = g + 4; y = 19; s = t + 20; m = s + 11; l = p + 16; t = y + 5; i = l + 5; z = x + 16; p = m + 16; x = y + 12; g = z + 8; k = v + 2; v = n + 8. Given that y = 19, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 8 to k, which gives k = n + 10.\n2. Substitute n = g + 4 to k, which gives k = g + 14.\n3. Substitute g = z + 8 to k, which gives k = z + 22.\n4. Substitute z = x + 16 to k, which gives k = x + 38.\n5. Substitute x = y + 12 to k, which gives k = y + 50.\n6. Substitute y = 19 to k, which gives k = 69.\n\nThus, the final answer is k = \\boxed{69}.",
"index": 8278,
"question": "Suppose a collection of variables is related by the following definitions: n = g + 4; y = 19; s = t + 20; m = s + 11; l = p + 16; t = y + 5; i = l + 5; z = x + 16; p = m + 16; x = y + 12; g = z + 8; k = v + 2; v = n + 8. Given that y = 19, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 5", "t": "i + 14", "s": "t + 1", "g": "s + 9", "x": "g + 3", "e": "x + 14", "j": "b + 2", "d": "j + 1", "k": "d + 20", "q": "k + 18", "f": "q + 1", "p": "f + 12", "b": 17}, "premises": {"b": 17}, "target": "e"}, "answer": {"steps": [["x", "g + 3", "g + 17"], ["g", "s + 9", "s + 26"], ["s", "t + 1", "t + 27"], ["t", "i + 14", "i + 41"], ["i", "b + 5", "b + 46"], ["b", 17, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"b": 17}, "is_reverse": true}} | 8,279 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = s + 9; j = b + 2; e = x + 14; k = d + 20; x = g + 3; t = i + 14; f = q + 1; p = f + 12; b = 17; d = j + 1; i = b + 5; q = k + 18; s = t + 1. If b = 17, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 3 to e, which gives e = g + 17.\n2. Substitute g = s + 9 to e, which gives e = s + 26.\n3. Substitute s = t + 1 to e, which gives e = t + 27.\n4. Substitute t = i + 14 to e, which gives e = i + 41.\n5. Substitute i = b + 5 to e, which gives e = b + 46.\n6. Substitute b = 17 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 8279,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = s + 9; j = b + 2; e = x + 14; k = d + 20; x = g + 3; t = i + 14; f = q + 1; p = f + 12; b = 17; d = j + 1; i = b + 5; q = k + 18; s = t + 1. If b = 17, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 12", "k": "x + 9", "r": "k + 12", "y": "r + 10", "q": "y + 9", "m": "q + 8", "u": "l + 3", "c": "u + 1", "v": "c + 9", "f": "v + 10", "h": "f + 14", "b": "h + 12", "l": 18}, "premises": {"l": 18}, "target": "m"}, "answer": {"steps": [["q", "y + 9", "y + 17"], ["y", "r + 10", "r + 27"], ["r", "k + 12", "k + 39"], ["k", "x + 9", "x + 48"], ["x", "l + 12", "l + 60"], ["l", 18, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"l": 18}, "is_reverse": true}} | 8,280 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = c + 9; f = v + 10; y = r + 10; q = y + 9; c = u + 1; x = l + 12; h = f + 14; b = h + 12; k = x + 9; m = q + 8; r = k + 12; u = l + 3; l = 18. If l = 18, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 9 to m, which gives m = y + 17.\n2. Substitute y = r + 10 to m, which gives m = r + 27.\n3. Substitute r = k + 12 to m, which gives m = k + 39.\n4. Substitute k = x + 9 to m, which gives m = x + 48.\n5. Substitute x = l + 12 to m, which gives m = l + 60.\n6. Substitute l = 18 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 8280,
"question": "Consider a system of variables where each variable is defined as follows: v = c + 9; f = v + 10; y = r + 10; q = y + 9; c = u + 1; x = l + 12; h = f + 14; b = h + 12; k = x + 9; m = q + 8; r = k + 12; u = l + 3; l = 18. If l = 18, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 3", "k": "c + 15", "o": "k + 16", "y": "o + 4", "i": "y + 15", "j": "i + 18", "e": "t + 3", "q": "e + 10", "z": "q + 17", "h": "z + 10", "m": "h + 17", "l": "m + 14", "t": 7}, "premises": {"t": 7}, "target": "j"}, "answer": {"steps": [["i", "y + 15", "y + 33"], ["y", "o + 4", "o + 37"], ["o", "k + 16", "k + 53"], ["k", "c + 15", "c + 68"], ["c", "t + 3", "t + 71"], ["t", 7, "78"]], "target_var_name": "j", "target_value": 78, "value_dict": {"t": 7}, "is_reverse": true}} | 8,281 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = k + 16; k = c + 15; q = e + 10; i = y + 15; c = t + 3; t = 7; h = z + 10; j = i + 18; z = q + 17; y = o + 4; l = m + 14; m = h + 17; e = t + 3. If t = 7, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 15 to j, which gives j = y + 33.\n2. Substitute y = o + 4 to j, which gives j = o + 37.\n3. Substitute o = k + 16 to j, which gives j = k + 53.\n4. Substitute k = c + 15 to j, which gives j = c + 68.\n5. Substitute c = t + 3 to j, which gives j = t + 71.\n6. Substitute t = 7 to j, which gives j = 78.\n\nThus, the final answer is j = \\boxed{78}.",
"index": 8281,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = k + 16; k = c + 15; q = e + 10; i = y + 15; c = t + 3; t = 7; h = z + 10; j = i + 18; z = q + 17; y = o + 4; l = m + 14; m = h + 17; e = t + 3. If t = 7, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 14", "x": "m + 18", "z": "x + 17", "p": "z + 19", "v": "p + 17", "w": "v + 13", "n": "b + 18", "g": "n + 18", "r": "g + 1", "d": "r + 16", "i": "d + 2", "k": "i + 4", "b": 20}, "premises": {"b": 20}, "target": "w"}, "answer": {"steps": [["v", "p + 17", "p + 30"], ["p", "z + 19", "z + 49"], ["z", "x + 17", "x + 66"], ["x", "m + 18", "m + 84"], ["m", "b + 14", "b + 98"], ["b", 20, "118"]], "target_var_name": "w", "target_value": 118, "value_dict": {"b": 20}, "is_reverse": true}} | 8,282 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 18; v = p + 17; k = i + 4; m = b + 14; p = z + 19; w = v + 13; i = d + 2; g = n + 18; x = m + 18; r = g + 1; z = x + 17; b = 20; d = r + 16. If b = 20, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 118,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 17 to w, which gives w = p + 30.\n2. Substitute p = z + 19 to w, which gives w = z + 49.\n3. Substitute z = x + 17 to w, which gives w = x + 66.\n4. Substitute x = m + 18 to w, which gives w = m + 84.\n5. Substitute m = b + 14 to w, which gives w = b + 98.\n6. Substitute b = 20 to w, which gives w = 118.\n\nThus, the final answer is w = \\boxed{118}.",
"index": 8282,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 18; v = p + 17; k = i + 4; m = b + 14; p = z + 19; w = v + 13; i = d + 2; g = n + 18; x = m + 18; r = g + 1; z = x + 17; b = 20; d = r + 16. If b = 20, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 9", "r": "l + 7", "d": "r + 13", "u": "d + 20", "i": "u + 17", "t": "i + 11", "p": "q + 8", "s": "p + 18", "a": "s + 11", "b": "a + 6", "e": "b + 8", "m": "e + 6", "q": 18}, "premises": {"q": 18}, "target": "t"}, "answer": {"steps": [["i", "u + 17", "u + 28"], ["u", "d + 20", "d + 48"], ["d", "r + 13", "r + 61"], ["r", "l + 7", "l + 68"], ["l", "q + 9", "q + 77"], ["q", 18, "95"]], "target_var_name": "t", "target_value": 95, "value_dict": {"q": 18}, "is_reverse": true}} | 8,283 | 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 = q + 8; a = s + 11; e = b + 8; d = r + 13; i = u + 17; l = q + 9; u = d + 20; r = l + 7; m = e + 6; q = 18; t = i + 11; b = a + 6; s = p + 18. If q = 18, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 17 to t, which gives t = u + 28.\n2. Substitute u = d + 20 to t, which gives t = d + 48.\n3. Substitute d = r + 13 to t, which gives t = r + 61.\n4. Substitute r = l + 7 to t, which gives t = l + 68.\n5. Substitute l = q + 9 to t, which gives t = q + 77.\n6. Substitute q = 18 to t, which gives t = 95.\n\nThus, the final answer is t = \\boxed{95}.",
"index": 8283,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = q + 8; a = s + 11; e = b + 8; d = r + 13; i = u + 17; l = q + 9; u = d + 20; r = l + 7; m = e + 6; q = 18; t = i + 11; b = a + 6; s = p + 18. If q = 18, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 11", "r": "t + 13", "m": "r + 1", "o": "m + 20", "x": "o + 14", "a": "x + 10", "g": "p + 6", "n": "g + 13", "c": "n + 11", "j": "c + 8", "i": "j + 6", "e": "i + 18", "p": 10}, "premises": {"p": 10}, "target": "a"}, "answer": {"steps": [["x", "o + 14", "o + 24"], ["o", "m + 20", "m + 44"], ["m", "r + 1", "r + 45"], ["r", "t + 13", "t + 58"], ["t", "p + 11", "p + 69"], ["p", 10, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"p": 10}, "is_reverse": true}} | 8,284 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = t + 13; x = o + 14; p = 10; e = i + 18; m = r + 1; g = p + 6; a = x + 10; t = p + 11; c = n + 11; j = c + 8; n = g + 13; o = m + 20; i = j + 6. If p = 10, 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 x = o + 14 to a, which gives a = o + 24.\n2. Substitute o = m + 20 to a, which gives a = m + 44.\n3. Substitute m = r + 1 to a, which gives a = r + 45.\n4. Substitute r = t + 13 to a, which gives a = t + 58.\n5. Substitute t = p + 11 to a, which gives a = p + 69.\n6. Substitute p = 10 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 8284,
"question": "Consider a system of variables where each variable is defined as follows: r = t + 13; x = o + 14; p = 10; e = i + 18; m = r + 1; g = p + 6; a = x + 10; t = p + 11; c = n + 11; j = c + 8; n = g + 13; o = m + 20; i = j + 6. If p = 10, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 5", "z": "p + 6", "i": "z + 20", "b": "i + 6", "u": "b + 1", "w": "u + 11", "j": "h + 9", "v": "j + 2", "t": "v + 16", "d": "t + 8", "r": "d + 17", "q": "r + 6", "h": 8}, "premises": {"h": 8}, "target": "w"}, "answer": {"steps": [["u", "b + 1", "b + 12"], ["b", "i + 6", "i + 18"], ["i", "z + 20", "z + 38"], ["z", "p + 6", "p + 44"], ["p", "h + 5", "h + 49"], ["h", 8, "57"]], "target_var_name": "w", "target_value": 57, "value_dict": {"h": 8}, "is_reverse": true}} | 8,285 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = 8; q = r + 6; v = j + 2; w = u + 11; d = t + 8; j = h + 9; z = p + 6; p = h + 5; i = z + 20; u = b + 1; t = v + 16; b = i + 6; r = d + 17. If h = 8, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 1 to w, which gives w = b + 12.\n2. Substitute b = i + 6 to w, which gives w = i + 18.\n3. Substitute i = z + 20 to w, which gives w = z + 38.\n4. Substitute z = p + 6 to w, which gives w = p + 44.\n5. Substitute p = h + 5 to w, which gives w = h + 49.\n6. Substitute h = 8 to w, which gives w = 57.\n\nThus, the final answer is w = \\boxed{57}.",
"index": 8285,
"question": "Consider a system of variables where each variable is defined as follows: h = 8; q = r + 6; v = j + 2; w = u + 11; d = t + 8; j = h + 9; z = p + 6; p = h + 5; i = z + 20; u = b + 1; t = v + 16; b = i + 6; r = d + 17. If h = 8, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 2", "f": "b + 5", "y": "f + 5", "c": "y + 18", "u": "c + 1", "x": "u + 18", "l": "r + 6", "s": "l + 11", "q": "s + 18", "a": "q + 11", "v": "a + 16", "w": "v + 7", "r": 8}, "premises": {"r": 8}, "target": "x"}, "answer": {"steps": [["u", "c + 1", "c + 19"], ["c", "y + 18", "y + 37"], ["y", "f + 5", "f + 42"], ["f", "b + 5", "b + 47"], ["b", "r + 2", "r + 49"], ["r", 8, "57"]], "target_var_name": "x", "target_value": 57, "value_dict": {"r": 8}, "is_reverse": true}} | 8,286 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = 8; a = q + 11; f = b + 5; x = u + 18; c = y + 18; b = r + 2; v = a + 16; w = v + 7; q = s + 18; s = l + 11; y = f + 5; u = c + 1; l = r + 6. If r = 8, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 1 to x, which gives x = c + 19.\n2. Substitute c = y + 18 to x, which gives x = y + 37.\n3. Substitute y = f + 5 to x, which gives x = f + 42.\n4. Substitute f = b + 5 to x, which gives x = b + 47.\n5. Substitute b = r + 2 to x, which gives x = r + 49.\n6. Substitute r = 8 to x, which gives x = 57.\n\nThus, the final answer is x = \\boxed{57}.",
"index": 8286,
"question": "Consider a system of variables where each variable is defined as follows: r = 8; a = q + 11; f = b + 5; x = u + 18; c = y + 18; b = r + 2; v = a + 16; w = v + 7; q = s + 18; s = l + 11; y = f + 5; u = c + 1; l = r + 6. If r = 8, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"m": "q + 8", "t": "m + 8", "y": "t + 9", "n": "y + 4", "c": "n + 13", "i": "c + 13", "o": "q + 7", "e": "o + 8", "d": "e + 15", "s": "d + 17", "h": "s + 13", "a": "h + 3", "q": 17}, "premises": {"q": 17}, "target": "i"}, "answer": {"steps": [["c", "n + 13", "n + 26"], ["n", "y + 4", "y + 30"], ["y", "t + 9", "t + 39"], ["t", "m + 8", "m + 47"], ["m", "q + 8", "q + 55"], ["q", 17, "72"]], "target_var_name": "i", "target_value": 72, "value_dict": {"q": 17}, "is_reverse": true}} | 8,287 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = h + 3; d = e + 15; e = o + 8; c = n + 13; t = m + 8; q = 17; m = q + 8; n = y + 4; y = t + 9; o = q + 7; h = s + 13; s = d + 17; i = c + 13. Given that q = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 13 to i, which gives i = n + 26.\n2. Substitute n = y + 4 to i, which gives i = y + 30.\n3. Substitute y = t + 9 to i, which gives i = t + 39.\n4. Substitute t = m + 8 to i, which gives i = m + 47.\n5. Substitute m = q + 8 to i, which gives i = q + 55.\n6. Substitute q = 17 to i, which gives i = 72.\n\nThus, the final answer is i = \\boxed{72}.",
"index": 8287,
"question": "Suppose a collection of variables is related by the following definitions: a = h + 3; d = e + 15; e = o + 8; c = n + 13; t = m + 8; q = 17; m = q + 8; n = y + 4; y = t + 9; o = q + 7; h = s + 13; s = d + 17; i = c + 13. Given that q = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 7", "r": "d + 20", "y": "r + 18", "c": "y + 20", "g": "c + 6", "p": "g + 18", "j": "v + 6", "x": "j + 14", "b": "x + 20", "e": "b + 5", "n": "e + 15", "s": "n + 7", "v": 5}, "premises": {"v": 5}, "target": "p"}, "answer": {"steps": [["g", "c + 6", "c + 24"], ["c", "y + 20", "y + 44"], ["y", "r + 18", "r + 62"], ["r", "d + 20", "d + 82"], ["d", "v + 7", "v + 89"], ["v", 5, "94"]], "target_var_name": "p", "target_value": 94, "value_dict": {"v": 5}, "is_reverse": true}} | 8,288 | 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 = g + 18; d = v + 7; x = j + 14; c = y + 20; y = r + 18; s = n + 7; g = c + 6; n = e + 15; j = v + 6; b = x + 20; v = 5; r = d + 20; e = b + 5. If v = 5, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 6 to p, which gives p = c + 24.\n2. Substitute c = y + 20 to p, which gives p = y + 44.\n3. Substitute y = r + 18 to p, which gives p = r + 62.\n4. Substitute r = d + 20 to p, which gives p = d + 82.\n5. Substitute d = v + 7 to p, which gives p = v + 89.\n6. Substitute v = 5 to p, which gives p = 94.\n\nThus, the final answer is p = \\boxed{94}.",
"index": 8288,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = g + 18; d = v + 7; x = j + 14; c = y + 20; y = r + 18; s = n + 7; g = c + 6; n = e + 15; j = v + 6; b = x + 20; v = 5; r = d + 20; e = b + 5. If v = 5, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 1", "g": "m + 14", "j": "g + 20", "p": "j + 11", "f": "p + 16", "h": "f + 3", "t": "s + 6", "q": "t + 11", "d": "q + 6", "z": "d + 18", "l": "z + 15", "k": "l + 19", "s": 16}, "premises": {"s": 16}, "target": "h"}, "answer": {"steps": [["f", "p + 16", "p + 19"], ["p", "j + 11", "j + 30"], ["j", "g + 20", "g + 50"], ["g", "m + 14", "m + 64"], ["m", "s + 1", "s + 65"], ["s", 16, "81"]], "target_var_name": "h", "target_value": 81, "value_dict": {"s": 16}, "is_reverse": true}} | 8,289 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = t + 11; s = 16; l = z + 15; d = q + 6; z = d + 18; h = f + 3; f = p + 16; k = l + 19; t = s + 6; g = m + 14; j = g + 20; m = s + 1; p = j + 11. Given that s = 16, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 16 to h, which gives h = p + 19.\n2. Substitute p = j + 11 to h, which gives h = j + 30.\n3. Substitute j = g + 20 to h, which gives h = g + 50.\n4. Substitute g = m + 14 to h, which gives h = m + 64.\n5. Substitute m = s + 1 to h, which gives h = s + 65.\n6. Substitute s = 16 to h, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 8289,
"question": "Suppose a collection of variables is related by the following definitions: q = t + 11; s = 16; l = z + 15; d = q + 6; z = d + 18; h = f + 3; f = p + 16; k = l + 19; t = s + 6; g = m + 14; j = g + 20; m = s + 1; p = j + 11. Given that s = 16, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 18", "y": "n + 4", "j": "y + 18", "p": "j + 9", "w": "p + 17", "i": "w + 10", "k": "f + 4", "v": "k + 20", "b": "v + 15", "r": "b + 11", "z": "r + 2", "q": "z + 18", "f": 18}, "premises": {"f": 18}, "target": "i"}, "answer": {"steps": [["w", "p + 17", "p + 27"], ["p", "j + 9", "j + 36"], ["j", "y + 18", "y + 54"], ["y", "n + 4", "n + 58"], ["n", "f + 18", "f + 76"], ["f", 18, "94"]], "target_var_name": "i", "target_value": 94, "value_dict": {"f": 18}, "is_reverse": true}} | 8,290 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = y + 18; w = p + 17; i = w + 10; y = n + 4; p = j + 9; k = f + 4; f = 18; b = v + 15; r = b + 11; n = f + 18; z = r + 2; q = z + 18; v = k + 20. If f = 18, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 17 to i, which gives i = p + 27.\n2. Substitute p = j + 9 to i, which gives i = j + 36.\n3. Substitute j = y + 18 to i, which gives i = y + 54.\n4. Substitute y = n + 4 to i, which gives i = n + 58.\n5. Substitute n = f + 18 to i, which gives i = f + 76.\n6. Substitute f = 18 to i, which gives i = 94.\n\nThus, the final answer is i = \\boxed{94}.",
"index": 8290,
"question": "Consider a system of variables where each variable is defined as follows: j = y + 18; w = p + 17; i = w + 10; y = n + 4; p = j + 9; k = f + 4; f = 18; b = v + 15; r = b + 11; n = f + 18; z = r + 2; q = z + 18; v = k + 20. If f = 18, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 13", "t": "k + 10", "j": "t + 19", "y": "j + 15", "q": "y + 9", "c": "q + 14", "d": "u + 4", "r": "d + 2", "g": "r + 6", "o": "g + 6", "f": "o + 12", "z": "f + 20", "u": 17}, "premises": {"u": 17}, "target": "c"}, "answer": {"steps": [["q", "y + 9", "y + 23"], ["y", "j + 15", "j + 38"], ["j", "t + 19", "t + 57"], ["t", "k + 10", "k + 67"], ["k", "u + 13", "u + 80"], ["u", 17, "97"]], "target_var_name": "c", "target_value": 97, "value_dict": {"u": 17}, "is_reverse": true}} | 8,291 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = j + 15; j = t + 19; c = q + 14; t = k + 10; z = f + 20; d = u + 4; k = u + 13; f = o + 12; o = g + 6; u = 17; q = y + 9; r = d + 2; g = r + 6. Given that u = 17, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 9 to c, which gives c = y + 23.\n2. Substitute y = j + 15 to c, which gives c = j + 38.\n3. Substitute j = t + 19 to c, which gives c = t + 57.\n4. Substitute t = k + 10 to c, which gives c = k + 67.\n5. Substitute k = u + 13 to c, which gives c = u + 80.\n6. Substitute u = 17 to c, which gives c = 97.\n\nThus, the final answer is c = \\boxed{97}.",
"index": 8291,
"question": "Suppose a collection of variables is related by the following definitions: y = j + 15; j = t + 19; c = q + 14; t = k + 10; z = f + 20; d = u + 4; k = u + 13; f = o + 12; o = g + 6; u = 17; q = y + 9; r = d + 2; g = r + 6. Given that u = 17, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 20", "y": "r + 19", "c": "y + 5", "t": "c + 6", "v": "t + 18", "k": "v + 4", "f": "w + 8", "n": "f + 16", "h": "n + 8", "e": "h + 4", "m": "e + 5", "p": "m + 4", "w": 16}, "premises": {"w": 16}, "target": "k"}, "answer": {"steps": [["v", "t + 18", "t + 22"], ["t", "c + 6", "c + 28"], ["c", "y + 5", "y + 33"], ["y", "r + 19", "r + 52"], ["r", "w + 20", "w + 72"], ["w", 16, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"w": 16}, "is_reverse": true}} | 8,292 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 5; y = r + 19; v = t + 18; p = m + 4; n = f + 16; h = n + 8; w = 16; t = c + 6; e = h + 4; c = y + 5; f = w + 8; k = v + 4; r = w + 20. If w = 16, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 18 to k, which gives k = t + 22.\n2. Substitute t = c + 6 to k, which gives k = c + 28.\n3. Substitute c = y + 5 to k, which gives k = y + 33.\n4. Substitute y = r + 19 to k, which gives k = r + 52.\n5. Substitute r = w + 20 to k, which gives k = w + 72.\n6. Substitute w = 16 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 8292,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 5; y = r + 19; v = t + 18; p = m + 4; n = f + 16; h = n + 8; w = 16; t = c + 6; e = h + 4; c = y + 5; f = w + 8; k = v + 4; r = w + 20. If w = 16, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 1", "y": "s + 4", "l": "y + 18", "c": "l + 2", "o": "c + 9", "e": "o + 2", "u": "z + 10", "m": "u + 13", "t": "m + 12", "i": "t + 5", "h": "i + 2", "a": "h + 19", "z": 6}, "premises": {"z": 6}, "target": "e"}, "answer": {"steps": [["o", "c + 9", "c + 11"], ["c", "l + 2", "l + 13"], ["l", "y + 18", "y + 31"], ["y", "s + 4", "s + 35"], ["s", "z + 1", "z + 36"], ["z", 6, "42"]], "target_var_name": "e", "target_value": 42, "value_dict": {"z": 6}, "is_reverse": true}} | 8,293 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = u + 13; s = z + 1; a = h + 19; y = s + 4; t = m + 12; c = l + 2; z = 6; e = o + 2; u = z + 10; h = i + 2; i = t + 5; l = y + 18; o = c + 9. If z = 6, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 9 to e, which gives e = c + 11.\n2. Substitute c = l + 2 to e, which gives e = l + 13.\n3. Substitute l = y + 18 to e, which gives e = y + 31.\n4. Substitute y = s + 4 to e, which gives e = s + 35.\n5. Substitute s = z + 1 to e, which gives e = z + 36.\n6. Substitute z = 6 to e, which gives e = 42.\n\nThus, the final answer is e = \\boxed{42}.",
"index": 8293,
"question": "Consider a system of variables where each variable is defined as follows: m = u + 13; s = z + 1; a = h + 19; y = s + 4; t = m + 12; c = l + 2; z = 6; e = o + 2; u = z + 10; h = i + 2; i = t + 5; l = y + 18; o = c + 9. If z = 6, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 2", "u": "i + 6", "e": "u + 17", "r": "e + 15", "d": "r + 16", "s": "d + 6", "v": "n + 12", "l": "v + 15", "x": "l + 4", "q": "x + 20", "z": "q + 8", "y": "z + 1", "n": 1}, "premises": {"n": 1}, "target": "s"}, "answer": {"steps": [["d", "r + 16", "r + 22"], ["r", "e + 15", "e + 37"], ["e", "u + 17", "u + 54"], ["u", "i + 6", "i + 60"], ["i", "n + 2", "n + 62"], ["n", 1, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"n": 1}, "is_reverse": true}} | 8,294 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = 1; q = x + 20; l = v + 15; y = z + 1; v = n + 12; e = u + 17; s = d + 6; x = l + 4; i = n + 2; u = i + 6; r = e + 15; z = q + 8; d = r + 16. If n = 1, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 16 to s, which gives s = r + 22.\n2. Substitute r = e + 15 to s, which gives s = e + 37.\n3. Substitute e = u + 17 to s, which gives s = u + 54.\n4. Substitute u = i + 6 to s, which gives s = i + 60.\n5. Substitute i = n + 2 to s, which gives s = n + 62.\n6. Substitute n = 1 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 8294,
"question": "Consider a system of variables where each variable is defined as follows: n = 1; q = x + 20; l = v + 15; y = z + 1; v = n + 12; e = u + 17; s = d + 6; x = l + 4; i = n + 2; u = i + 6; r = e + 15; z = q + 8; d = r + 16. If n = 1, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 2", "p": "v + 20", "c": "p + 19", "a": "c + 11", "y": "a + 19", "e": "y + 9", "n": "g + 10", "o": "n + 7", "q": "o + 7", "h": "q + 3", "w": "h + 2", "j": "w + 4", "g": 17}, "premises": {"g": 17}, "target": "e"}, "answer": {"steps": [["y", "a + 19", "a + 28"], ["a", "c + 11", "c + 39"], ["c", "p + 19", "p + 58"], ["p", "v + 20", "v + 78"], ["v", "g + 2", "g + 80"], ["g", 17, "97"]], "target_var_name": "e", "target_value": 97, "value_dict": {"g": 17}, "is_reverse": true}} | 8,295 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = g + 10; g = 17; v = g + 2; c = p + 19; a = c + 11; h = q + 3; o = n + 7; w = h + 2; j = w + 4; q = o + 7; y = a + 19; e = y + 9; p = v + 20. If g = 17, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 19 to e, which gives e = a + 28.\n2. Substitute a = c + 11 to e, which gives e = c + 39.\n3. Substitute c = p + 19 to e, which gives e = p + 58.\n4. Substitute p = v + 20 to e, which gives e = v + 78.\n5. Substitute v = g + 2 to e, which gives e = g + 80.\n6. Substitute g = 17 to e, which gives e = 97.\n\nThus, the final answer is e = \\boxed{97}.",
"index": 8295,
"question": "Consider a system of variables where each variable is defined as follows: n = g + 10; g = 17; v = g + 2; c = p + 19; a = c + 11; h = q + 3; o = n + 7; w = h + 2; j = w + 4; q = o + 7; y = a + 19; e = y + 9; p = v + 20. If g = 17, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 15", "r": "c + 12", "y": "r + 10", "u": "y + 5", "m": "u + 18", "t": "m + 2", "h": "v + 13", "p": "h + 9", "d": "p + 19", "e": "d + 1", "q": "e + 3", "x": "q + 12", "v": 2}, "premises": {"v": 2}, "target": "t"}, "answer": {"steps": [["m", "u + 18", "u + 20"], ["u", "y + 5", "y + 25"], ["y", "r + 10", "r + 35"], ["r", "c + 12", "c + 47"], ["c", "v + 15", "v + 62"], ["v", 2, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"v": 2}, "is_reverse": true}} | 8,296 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = r + 10; c = v + 15; v = 2; t = m + 2; r = c + 12; h = v + 13; e = d + 1; q = e + 3; p = h + 9; u = y + 5; d = p + 19; x = q + 12; m = u + 18. Given that v = 2, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 18 to t, which gives t = u + 20.\n2. Substitute u = y + 5 to t, which gives t = y + 25.\n3. Substitute y = r + 10 to t, which gives t = r + 35.\n4. Substitute r = c + 12 to t, which gives t = c + 47.\n5. Substitute c = v + 15 to t, which gives t = v + 62.\n6. Substitute v = 2 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 8296,
"question": "Suppose a collection of variables is related by the following definitions: y = r + 10; c = v + 15; v = 2; t = m + 2; r = c + 12; h = v + 13; e = d + 1; q = e + 3; p = h + 9; u = y + 5; d = p + 19; x = q + 12; m = u + 18. Given that v = 2, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "e + 20", "j": "t + 12", "h": "j + 19", "d": "h + 20", "n": "d + 9", "f": "n + 20", "p": "e + 12", "r": "p + 7", "a": "r + 4", "x": "a + 3", "y": "x + 6", "o": "y + 10", "e": 9}, "premises": {"e": 9}, "target": "f"}, "answer": {"steps": [["n", "d + 9", "d + 29"], ["d", "h + 20", "h + 49"], ["h", "j + 19", "j + 68"], ["j", "t + 12", "t + 80"], ["t", "e + 20", "e + 100"], ["e", 9, "109"]], "target_var_name": "f", "target_value": 109, "value_dict": {"e": 9}, "is_reverse": true}} | 8,297 | 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 = y + 10; a = r + 4; h = j + 19; t = e + 20; d = h + 20; x = a + 3; e = 9; r = p + 7; f = n + 20; n = d + 9; j = t + 12; p = e + 12; y = x + 6. If e = 9, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 9 to f, which gives f = d + 29.\n2. Substitute d = h + 20 to f, which gives f = h + 49.\n3. Substitute h = j + 19 to f, which gives f = j + 68.\n4. Substitute j = t + 12 to f, which gives f = t + 80.\n5. Substitute t = e + 20 to f, which gives f = e + 100.\n6. Substitute e = 9 to f, which gives f = 109.\n\nThus, the final answer is f = \\boxed{109}.",
"index": 8297,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 10; a = r + 4; h = j + 19; t = e + 20; d = h + 20; x = a + 3; e = 9; r = p + 7; f = n + 20; n = d + 9; j = t + 12; p = e + 12; y = x + 6. If e = 9, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 5", "e": "o + 14", "q": "e + 4", "w": "q + 9", "z": "w + 12", "p": "z + 7", "l": "f + 13", "h": "l + 17", "i": "h + 11", "t": "i + 18", "k": "t + 8", "v": "k + 16", "f": 7}, "premises": {"f": 7}, "target": "p"}, "answer": {"steps": [["z", "w + 12", "w + 19"], ["w", "q + 9", "q + 28"], ["q", "e + 4", "e + 32"], ["e", "o + 14", "o + 46"], ["o", "f + 5", "f + 51"], ["f", 7, "58"]], "target_var_name": "p", "target_value": 58, "value_dict": {"f": 7}, "is_reverse": true}} | 8,298 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = e + 4; h = l + 17; v = k + 16; z = w + 12; e = o + 14; k = t + 8; o = f + 5; f = 7; t = i + 18; i = h + 11; w = q + 9; p = z + 7; l = f + 13. Given that f = 7, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 12 to p, which gives p = w + 19.\n2. Substitute w = q + 9 to p, which gives p = q + 28.\n3. Substitute q = e + 4 to p, which gives p = e + 32.\n4. Substitute e = o + 14 to p, which gives p = o + 46.\n5. Substitute o = f + 5 to p, which gives p = f + 51.\n6. Substitute f = 7 to p, which gives p = 58.\n\nThus, the final answer is p = \\boxed{58}.",
"index": 8298,
"question": "Suppose a collection of variables is related by the following definitions: q = e + 4; h = l + 17; v = k + 16; z = w + 12; e = o + 14; k = t + 8; o = f + 5; f = 7; t = i + 18; i = h + 11; w = q + 9; p = z + 7; l = f + 13. Given that f = 7, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 2", "r": "i + 3", "u": "r + 7", "t": "u + 1", "q": "t + 8", "e": "q + 8", "f": "o + 5", "m": "f + 5", "w": "m + 6", "x": "w + 15", "l": "x + 5", "s": "l + 14", "o": 5}, "premises": {"o": 5}, "target": "e"}, "answer": {"steps": [["q", "t + 8", "t + 16"], ["t", "u + 1", "u + 17"], ["u", "r + 7", "r + 24"], ["r", "i + 3", "i + 27"], ["i", "o + 2", "o + 29"], ["o", 5, "34"]], "target_var_name": "e", "target_value": 34, "value_dict": {"o": 5}, "is_reverse": true}} | 8,299 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = m + 6; s = l + 14; x = w + 15; t = u + 1; u = r + 7; l = x + 5; q = t + 8; f = o + 5; m = f + 5; r = i + 3; o = 5; e = q + 8; i = o + 2. If o = 5, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 34,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 8 to e, which gives e = t + 16.\n2. Substitute t = u + 1 to e, which gives e = u + 17.\n3. Substitute u = r + 7 to e, which gives e = r + 24.\n4. Substitute r = i + 3 to e, which gives e = i + 27.\n5. Substitute i = o + 2 to e, which gives e = o + 29.\n6. Substitute o = 5 to e, which gives e = 34.\n\nThus, the final answer is e = \\boxed{34}.",
"index": 8299,
"question": "Consider a system of variables where each variable is defined as follows: w = m + 6; s = l + 14; x = w + 15; t = u + 1; u = r + 7; l = x + 5; q = t + 8; f = o + 5; m = f + 5; r = i + 3; o = 5; e = q + 8; i = o + 2. If o = 5, determine the value of e.",
"split": "train"
} |
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