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": {"s": "g + 6", "k": "s + 11", "e": "k + 12", "l": "e + 14", "b": "l + 9", "p": "b + 10", "z": "g + 12", "h": "z + 19", "o": "h + 3", "d": "o + 2", "c": "d + 19", "v": "c + 8", "g": 12}, "premises": {"g": 12}, "target": "p"}, "answer": {"steps": [["b", "l + 9", "l + 19"], ["l", "e + 14", "e + 33"], ["e", "k + 12", "k + 45"], ["k", "s + 11", "s + 56"], ["s", "g + 6", "g + 62"], ["g", 12, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"g": 12}, "is_reverse": true}} | 6,300 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = k + 12; k = s + 11; l = e + 14; d = o + 2; h = z + 19; g = 12; z = g + 12; b = l + 9; p = b + 10; c = d + 19; o = h + 3; s = g + 6; v = c + 8. Given that g = 12, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 9 to p, which gives p = l + 19.\n2. Substitute l = e + 14 to p, which gives p = e + 33.\n3. Substitute e = k + 12 to p, which gives p = k + 45.\n4. Substitute k = s + 11 to p, which gives p = s + 56.\n5. Substitute s = g + 6 to p, which gives p = g + 62.\n6. Substitute g = 12 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 6300,
"question": "Suppose a collection of variables is related by the following definitions: e = k + 12; k = s + 11; l = e + 14; d = o + 2; h = z + 19; g = 12; z = g + 12; b = l + 9; p = b + 10; c = d + 19; o = h + 3; s = g + 6; v = c + 8. Given that g = 12, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "c + 8", "g": "x + 1", "a": "g + 3", "s": "a + 17", "v": "s + 9", "n": "v + 12", "z": "c + 5", "q": "z + 16", "m": "q + 8", "k": "m + 16", "j": "k + 4", "h": "j + 4", "c": 8}, "premises": {"c": 8}, "target": "n"}, "answer": {"steps": [["v", "s + 9", "s + 21"], ["s", "a + 17", "a + 38"], ["a", "g + 3", "g + 41"], ["g", "x + 1", "x + 42"], ["x", "c + 8", "c + 50"], ["c", 8, "58"]], "target_var_name": "n", "target_value": 58, "value_dict": {"c": 8}, "is_reverse": true}} | 6,301 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = g + 3; s = a + 17; z = c + 5; v = s + 9; m = q + 8; c = 8; h = j + 4; n = v + 12; j = k + 4; q = z + 16; x = c + 8; g = x + 1; k = m + 16. Given that c = 8, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 9 to n, which gives n = s + 21.\n2. Substitute s = a + 17 to n, which gives n = a + 38.\n3. Substitute a = g + 3 to n, which gives n = g + 41.\n4. Substitute g = x + 1 to n, which gives n = x + 42.\n5. Substitute x = c + 8 to n, which gives n = c + 50.\n6. Substitute c = 8 to n, which gives n = 58.\n\nThus, the final answer is n = \\boxed{58}.",
"index": 6301,
"question": "Suppose a collection of variables is related by the following definitions: a = g + 3; s = a + 17; z = c + 5; v = s + 9; m = q + 8; c = 8; h = j + 4; n = v + 12; j = k + 4; q = z + 16; x = c + 8; g = x + 1; k = m + 16. Given that c = 8, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"f": "y + 3", "p": "f + 4", "n": "p + 6", "j": "n + 13", "d": "j + 3", "x": "d + 6", "h": "y + 16", "i": "h + 19", "s": "i + 16", "z": "s + 18", "c": "z + 15", "o": "c + 7", "y": 20}, "premises": {"y": 20}, "target": "x"}, "answer": {"steps": [["d", "j + 3", "j + 9"], ["j", "n + 13", "n + 22"], ["n", "p + 6", "p + 28"], ["p", "f + 4", "f + 32"], ["f", "y + 3", "y + 35"], ["y", 20, "55"]], "target_var_name": "x", "target_value": 55, "value_dict": {"y": 20}, "is_reverse": true}} | 6,302 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = h + 19; c = z + 15; y = 20; j = n + 13; x = d + 6; f = y + 3; s = i + 16; o = c + 7; n = p + 6; d = j + 3; z = s + 18; h = y + 16; p = f + 4. Given that y = 20, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 3 to x, which gives x = j + 9.\n2. Substitute j = n + 13 to x, which gives x = n + 22.\n3. Substitute n = p + 6 to x, which gives x = p + 28.\n4. Substitute p = f + 4 to x, which gives x = f + 32.\n5. Substitute f = y + 3 to x, which gives x = y + 35.\n6. Substitute y = 20 to x, which gives x = 55.\n\nThus, the final answer is x = \\boxed{55}.",
"index": 6302,
"question": "Suppose a collection of variables is related by the following definitions: i = h + 19; c = z + 15; y = 20; j = n + 13; x = d + 6; f = y + 3; s = i + 16; o = c + 7; n = p + 6; d = j + 3; z = s + 18; h = y + 16; p = f + 4. Given that y = 20, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 8", "j": "o + 13", "h": "j + 20", "t": "h + 2", "v": "t + 14", "x": "v + 3", "k": "q + 1", "f": "k + 4", "a": "f + 14", "r": "a + 9", "p": "r + 2", "z": "p + 3", "q": 5}, "premises": {"q": 5}, "target": "x"}, "answer": {"steps": [["v", "t + 14", "t + 17"], ["t", "h + 2", "h + 19"], ["h", "j + 20", "j + 39"], ["j", "o + 13", "o + 52"], ["o", "q + 8", "q + 60"], ["q", 5, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"q": 5}, "is_reverse": true}} | 6,303 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = r + 2; q = 5; z = p + 3; k = q + 1; x = v + 3; t = h + 2; j = o + 13; f = k + 4; r = a + 9; o = q + 8; h = j + 20; v = t + 14; a = f + 14. Given that q = 5, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 14 to x, which gives x = t + 17.\n2. Substitute t = h + 2 to x, which gives x = h + 19.\n3. Substitute h = j + 20 to x, which gives x = j + 39.\n4. Substitute j = o + 13 to x, which gives x = o + 52.\n5. Substitute o = q + 8 to x, which gives x = q + 60.\n6. Substitute q = 5 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 6303,
"question": "Suppose a collection of variables is related by the following definitions: p = r + 2; q = 5; z = p + 3; k = q + 1; x = v + 3; t = h + 2; j = o + 13; f = k + 4; r = a + 9; o = q + 8; h = j + 20; v = t + 14; a = f + 14. Given that q = 5, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 19", "c": "d + 1", "f": "c + 10", "s": "f + 10", "z": "s + 8", "v": "z + 14", "g": "n + 9", "y": "g + 17", "o": "y + 10", "u": "o + 18", "t": "u + 5", "x": "t + 13", "n": 7}, "premises": {"n": 7}, "target": "v"}, "answer": {"steps": [["z", "s + 8", "s + 22"], ["s", "f + 10", "f + 32"], ["f", "c + 10", "c + 42"], ["c", "d + 1", "d + 43"], ["d", "n + 19", "n + 62"], ["n", 7, "69"]], "target_var_name": "v", "target_value": 69, "value_dict": {"n": 7}, "is_reverse": true}} | 6,304 | 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 = f + 10; u = o + 18; v = z + 14; y = g + 17; f = c + 10; d = n + 19; n = 7; t = u + 5; z = s + 8; c = d + 1; o = y + 10; x = t + 13; g = n + 9. If n = 7, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 8 to v, which gives v = s + 22.\n2. Substitute s = f + 10 to v, which gives v = f + 32.\n3. Substitute f = c + 10 to v, which gives v = c + 42.\n4. Substitute c = d + 1 to v, which gives v = d + 43.\n5. Substitute d = n + 19 to v, which gives v = n + 62.\n6. Substitute n = 7 to v, which gives v = 69.\n\nThus, the final answer is v = \\boxed{69}.",
"index": 6304,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 10; u = o + 18; v = z + 14; y = g + 17; f = c + 10; d = n + 19; n = 7; t = u + 5; z = s + 8; c = d + 1; o = y + 10; x = t + 13; g = n + 9. If n = 7, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 6", "f": "x + 2", "z": "f + 7", "s": "z + 6", "l": "s + 18", "j": "l + 13", "r": "a + 6", "h": "r + 17", "c": "h + 17", "o": "c + 2", "u": "o + 1", "i": "u + 5", "a": 12}, "premises": {"a": 12}, "target": "j"}, "answer": {"steps": [["l", "s + 18", "s + 31"], ["s", "z + 6", "z + 37"], ["z", "f + 7", "f + 44"], ["f", "x + 2", "x + 46"], ["x", "a + 6", "a + 52"], ["a", 12, "64"]], "target_var_name": "j", "target_value": 64, "value_dict": {"a": 12}, "is_reverse": true}} | 6,305 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = c + 2; l = s + 18; r = a + 6; z = f + 7; i = u + 5; j = l + 13; h = r + 17; x = a + 6; u = o + 1; c = h + 17; a = 12; s = z + 6; f = x + 2. If a = 12, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 18 to j, which gives j = s + 31.\n2. Substitute s = z + 6 to j, which gives j = z + 37.\n3. Substitute z = f + 7 to j, which gives j = f + 44.\n4. Substitute f = x + 2 to j, which gives j = x + 46.\n5. Substitute x = a + 6 to j, which gives j = a + 52.\n6. Substitute a = 12 to j, which gives j = 64.\n\nThus, the final answer is j = \\boxed{64}.",
"index": 6305,
"question": "Consider a system of variables where each variable is defined as follows: o = c + 2; l = s + 18; r = a + 6; z = f + 7; i = u + 5; j = l + 13; h = r + 17; x = a + 6; u = o + 1; c = h + 17; a = 12; s = z + 6; f = x + 2. If a = 12, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "d + 16", "e": "m + 15", "h": "e + 15", "c": "h + 2", "r": "c + 8", "l": "r + 7", "s": "d + 1", "a": "s + 19", "v": "a + 19", "x": "v + 13", "o": "x + 12", "u": "o + 12", "d": 6}, "premises": {"d": 6}, "target": "l"}, "answer": {"steps": [["r", "c + 8", "c + 15"], ["c", "h + 2", "h + 17"], ["h", "e + 15", "e + 32"], ["e", "m + 15", "m + 47"], ["m", "d + 16", "d + 63"], ["d", 6, "69"]], "target_var_name": "l", "target_value": 69, "value_dict": {"d": 6}, "is_reverse": true}} | 6,306 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = h + 2; s = d + 1; m = d + 16; v = a + 19; x = v + 13; e = m + 15; a = s + 19; u = o + 12; h = e + 15; r = c + 8; l = r + 7; o = x + 12; d = 6. Given that d = 6, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 8 to l, which gives l = c + 15.\n2. Substitute c = h + 2 to l, which gives l = h + 17.\n3. Substitute h = e + 15 to l, which gives l = e + 32.\n4. Substitute e = m + 15 to l, which gives l = m + 47.\n5. Substitute m = d + 16 to l, which gives l = d + 63.\n6. Substitute d = 6 to l, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 6306,
"question": "Suppose a collection of variables is related by the following definitions: c = h + 2; s = d + 1; m = d + 16; v = a + 19; x = v + 13; e = m + 15; a = s + 19; u = o + 12; h = e + 15; r = c + 8; l = r + 7; o = x + 12; d = 6. Given that d = 6, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"t": "b + 20", "g": "t + 17", "v": "g + 17", "q": "v + 7", "e": "q + 17", "f": "e + 18", "c": "b + 9", "j": "c + 18", "k": "j + 16", "s": "k + 8", "n": "s + 14", "a": "n + 18", "b": 10}, "premises": {"b": 10}, "target": "f"}, "answer": {"steps": [["e", "q + 17", "q + 35"], ["q", "v + 7", "v + 42"], ["v", "g + 17", "g + 59"], ["g", "t + 17", "t + 76"], ["t", "b + 20", "b + 96"], ["b", 10, "106"]], "target_var_name": "f", "target_value": 106, "value_dict": {"b": 10}, "is_reverse": true}} | 6,307 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = e + 18; c = b + 9; t = b + 20; n = s + 14; g = t + 17; v = g + 17; q = v + 7; a = n + 18; e = q + 17; j = c + 18; k = j + 16; b = 10; s = k + 8. Given that b = 10, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 17 to f, which gives f = q + 35.\n2. Substitute q = v + 7 to f, which gives f = v + 42.\n3. Substitute v = g + 17 to f, which gives f = g + 59.\n4. Substitute g = t + 17 to f, which gives f = t + 76.\n5. Substitute t = b + 20 to f, which gives f = b + 96.\n6. Substitute b = 10 to f, which gives f = 106.\n\nThus, the final answer is f = \\boxed{106}.",
"index": 6307,
"question": "Suppose a collection of variables is related by the following definitions: f = e + 18; c = b + 9; t = b + 20; n = s + 14; g = t + 17; v = g + 17; q = v + 7; a = n + 18; e = q + 17; j = c + 18; k = j + 16; b = 10; s = k + 8. Given that b = 10, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 12", "y": "b + 1", "d": "y + 18", "j": "d + 20", "x": "j + 16", "l": "x + 11", "m": "c + 11", "h": "m + 20", "q": "h + 16", "v": "q + 3", "i": "v + 19", "u": "i + 19", "c": 8}, "premises": {"c": 8}, "target": "l"}, "answer": {"steps": [["x", "j + 16", "j + 27"], ["j", "d + 20", "d + 47"], ["d", "y + 18", "y + 65"], ["y", "b + 1", "b + 66"], ["b", "c + 12", "c + 78"], ["c", 8, "86"]], "target_var_name": "l", "target_value": 86, "value_dict": {"c": 8}, "is_reverse": true}} | 6,308 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = m + 20; q = h + 16; v = q + 3; b = c + 12; i = v + 19; j = d + 20; u = i + 19; m = c + 11; d = y + 18; c = 8; y = b + 1; l = x + 11; x = j + 16. If c = 8, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 16 to l, which gives l = j + 27.\n2. Substitute j = d + 20 to l, which gives l = d + 47.\n3. Substitute d = y + 18 to l, which gives l = y + 65.\n4. Substitute y = b + 1 to l, which gives l = b + 66.\n5. Substitute b = c + 12 to l, which gives l = c + 78.\n6. Substitute c = 8 to l, which gives l = 86.\n\nThus, the final answer is l = \\boxed{86}.",
"index": 6308,
"question": "Consider a system of variables where each variable is defined as follows: h = m + 20; q = h + 16; v = q + 3; b = c + 12; i = v + 19; j = d + 20; u = i + 19; m = c + 11; d = y + 18; c = 8; y = b + 1; l = x + 11; x = j + 16. If c = 8, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 8", "g": "m + 4", "w": "g + 12", "l": "w + 13", "x": "l + 1", "f": "x + 8", "h": "b + 15", "c": "h + 3", "k": "c + 17", "y": "k + 4", "n": "y + 12", "t": "n + 20", "b": 3}, "premises": {"b": 3}, "target": "f"}, "answer": {"steps": [["x", "l + 1", "l + 9"], ["l", "w + 13", "w + 22"], ["w", "g + 12", "g + 34"], ["g", "m + 4", "m + 38"], ["m", "b + 8", "b + 46"], ["b", 3, "49"]], "target_var_name": "f", "target_value": 49, "value_dict": {"b": 3}, "is_reverse": true}} | 6,309 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = c + 17; g = m + 4; y = k + 4; f = x + 8; n = y + 12; h = b + 15; w = g + 12; m = b + 8; l = w + 13; b = 3; c = h + 3; x = l + 1; t = n + 20. If b = 3, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 1 to f, which gives f = l + 9.\n2. Substitute l = w + 13 to f, which gives f = w + 22.\n3. Substitute w = g + 12 to f, which gives f = g + 34.\n4. Substitute g = m + 4 to f, which gives f = m + 38.\n5. Substitute m = b + 8 to f, which gives f = b + 46.\n6. Substitute b = 3 to f, which gives f = 49.\n\nThus, the final answer is f = \\boxed{49}.",
"index": 6309,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = c + 17; g = m + 4; y = k + 4; f = x + 8; n = y + 12; h = b + 15; w = g + 12; m = b + 8; l = w + 13; b = 3; c = h + 3; x = l + 1; t = n + 20. If b = 3, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 5", "w": "t + 7", "r": "w + 20", "e": "r + 16", "v": "e + 15", "c": "v + 1", "m": "l + 3", "y": "m + 13", "j": "y + 13", "i": "j + 13", "a": "i + 16", "d": "a + 4", "l": 6}, "premises": {"l": 6}, "target": "c"}, "answer": {"steps": [["v", "e + 15", "e + 16"], ["e", "r + 16", "r + 32"], ["r", "w + 20", "w + 52"], ["w", "t + 7", "t + 59"], ["t", "l + 5", "l + 64"], ["l", 6, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"l": 6}, "is_reverse": true}} | 6,310 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = t + 7; a = i + 16; c = v + 1; d = a + 4; j = y + 13; e = r + 16; v = e + 15; y = m + 13; m = l + 3; l = 6; i = j + 13; t = l + 5; r = w + 20. If l = 6, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 15 to c, which gives c = e + 16.\n2. Substitute e = r + 16 to c, which gives c = r + 32.\n3. Substitute r = w + 20 to c, which gives c = w + 52.\n4. Substitute w = t + 7 to c, which gives c = t + 59.\n5. Substitute t = l + 5 to c, which gives c = l + 64.\n6. Substitute l = 6 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 6310,
"question": "Consider a system of variables where each variable is defined as follows: w = t + 7; a = i + 16; c = v + 1; d = a + 4; j = y + 13; e = r + 16; v = e + 15; y = m + 13; m = l + 3; l = 6; i = j + 13; t = l + 5; r = w + 20. If l = 6, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"k": "h + 3", "v": "k + 5", "j": "v + 5", "m": "j + 3", "i": "m + 10", "z": "i + 18", "y": "h + 19", "a": "y + 13", "p": "a + 20", "t": "p + 13", "s": "t + 10", "g": "s + 7", "h": 8}, "premises": {"h": 8}, "target": "z"}, "answer": {"steps": [["i", "m + 10", "m + 28"], ["m", "j + 3", "j + 31"], ["j", "v + 5", "v + 36"], ["v", "k + 5", "k + 41"], ["k", "h + 3", "h + 44"], ["h", 8, "52"]], "target_var_name": "z", "target_value": 52, "value_dict": {"h": 8}, "is_reverse": true}} | 6,311 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = p + 13; m = j + 3; a = y + 13; j = v + 5; i = m + 10; z = i + 18; k = h + 3; g = s + 7; y = h + 19; p = a + 20; s = t + 10; h = 8; v = k + 5. If h = 8, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 10 to z, which gives z = m + 28.\n2. Substitute m = j + 3 to z, which gives z = j + 31.\n3. Substitute j = v + 5 to z, which gives z = v + 36.\n4. Substitute v = k + 5 to z, which gives z = k + 41.\n5. Substitute k = h + 3 to z, which gives z = h + 44.\n6. Substitute h = 8 to z, which gives z = 52.\n\nThus, the final answer is z = \\boxed{52}.",
"index": 6311,
"question": "Consider a system of variables where each variable is defined as follows: t = p + 13; m = j + 3; a = y + 13; j = v + 5; i = m + 10; z = i + 18; k = h + 3; g = s + 7; y = h + 19; p = a + 20; s = t + 10; h = 8; v = k + 5. If h = 8, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 13", "n": "d + 9", "s": "n + 12", "b": "s + 10", "r": "b + 17", "h": "r + 8", "c": "z + 8", "l": "c + 12", "y": "l + 1", "i": "y + 19", "x": "i + 13", "a": "x + 13", "z": 12}, "premises": {"z": 12}, "target": "h"}, "answer": {"steps": [["r", "b + 17", "b + 25"], ["b", "s + 10", "s + 35"], ["s", "n + 12", "n + 47"], ["n", "d + 9", "d + 56"], ["d", "z + 13", "z + 69"], ["z", 12, "81"]], "target_var_name": "h", "target_value": 81, "value_dict": {"z": 12}, "is_reverse": true}} | 6,312 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = z + 8; y = l + 1; z = 12; i = y + 19; h = r + 8; x = i + 13; r = b + 17; n = d + 9; d = z + 13; b = s + 10; l = c + 12; s = n + 12; a = x + 13. If z = 12, determine 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 r = b + 17 to h, which gives h = b + 25.\n2. Substitute b = s + 10 to h, which gives h = s + 35.\n3. Substitute s = n + 12 to h, which gives h = n + 47.\n4. Substitute n = d + 9 to h, which gives h = d + 56.\n5. Substitute d = z + 13 to h, which gives h = z + 69.\n6. Substitute z = 12 to h, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 6312,
"question": "Consider a system of variables where each variable is defined as follows: c = z + 8; y = l + 1; z = 12; i = y + 19; h = r + 8; x = i + 13; r = b + 17; n = d + 9; d = z + 13; b = s + 10; l = c + 12; s = n + 12; a = x + 13. If z = 12, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 4", "k": "m + 9", "h": "k + 12", "d": "h + 15", "i": "d + 13", "n": "i + 10", "f": "u + 6", "l": "f + 8", "w": "l + 1", "x": "w + 3", "e": "x + 7", "s": "e + 13", "u": 5}, "premises": {"u": 5}, "target": "n"}, "answer": {"steps": [["i", "d + 13", "d + 23"], ["d", "h + 15", "h + 38"], ["h", "k + 12", "k + 50"], ["k", "m + 9", "m + 59"], ["m", "u + 4", "u + 63"], ["u", 5, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"u": 5}, "is_reverse": true}} | 6,313 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = m + 9; w = l + 1; l = f + 8; d = h + 15; h = k + 12; i = d + 13; f = u + 6; m = u + 4; x = w + 3; s = e + 13; e = x + 7; n = i + 10; u = 5. Given that u = 5, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 13 to n, which gives n = d + 23.\n2. Substitute d = h + 15 to n, which gives n = h + 38.\n3. Substitute h = k + 12 to n, which gives n = k + 50.\n4. Substitute k = m + 9 to n, which gives n = m + 59.\n5. Substitute m = u + 4 to n, which gives n = u + 63.\n6. Substitute u = 5 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 6313,
"question": "Suppose a collection of variables is related by the following definitions: k = m + 9; w = l + 1; l = f + 8; d = h + 15; h = k + 12; i = d + 13; f = u + 6; m = u + 4; x = w + 3; s = e + 13; e = x + 7; n = i + 10; u = 5. Given that u = 5, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"t": "j + 14", "i": "t + 4", "m": "i + 14", "l": "m + 10", "a": "l + 19", "k": "a + 14", "p": "j + 16", "s": "p + 3", "z": "s + 20", "n": "z + 7", "u": "n + 7", "g": "u + 4", "j": 20}, "premises": {"j": 20}, "target": "k"}, "answer": {"steps": [["a", "l + 19", "l + 33"], ["l", "m + 10", "m + 43"], ["m", "i + 14", "i + 57"], ["i", "t + 4", "t + 61"], ["t", "j + 14", "j + 75"], ["j", 20, "95"]], "target_var_name": "k", "target_value": 95, "value_dict": {"j": 20}, "is_reverse": true}} | 6,314 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = 20; g = u + 4; i = t + 4; t = j + 14; p = j + 16; k = a + 14; u = n + 7; s = p + 3; l = m + 10; a = l + 19; z = s + 20; m = i + 14; n = z + 7. If j = 20, 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 a = l + 19 to k, which gives k = l + 33.\n2. Substitute l = m + 10 to k, which gives k = m + 43.\n3. Substitute m = i + 14 to k, which gives k = i + 57.\n4. Substitute i = t + 4 to k, which gives k = t + 61.\n5. Substitute t = j + 14 to k, which gives k = j + 75.\n6. Substitute j = 20 to k, which gives k = 95.\n\nThus, the final answer is k = \\boxed{95}.",
"index": 6314,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 20; g = u + 4; i = t + 4; t = j + 14; p = j + 16; k = a + 14; u = n + 7; s = p + 3; l = m + 10; a = l + 19; z = s + 20; m = i + 14; n = z + 7. If j = 20, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"n": "i + 11", "g": "n + 14", "v": "g + 9", "h": "v + 18", "m": "h + 17", "w": "m + 2", "p": "i + 4", "y": "p + 7", "k": "y + 2", "e": "k + 6", "x": "e + 13", "b": "x + 19", "i": 8}, "premises": {"i": 8}, "target": "w"}, "answer": {"steps": [["m", "h + 17", "h + 19"], ["h", "v + 18", "v + 37"], ["v", "g + 9", "g + 46"], ["g", "n + 14", "n + 60"], ["n", "i + 11", "i + 71"], ["i", 8, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"i": 8}, "is_reverse": true}} | 6,315 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = h + 17; i = 8; w = m + 2; b = x + 19; p = i + 4; h = v + 18; n = i + 11; k = y + 2; e = k + 6; y = p + 7; x = e + 13; v = g + 9; g = n + 14. Given that i = 8, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 17 to w, which gives w = h + 19.\n2. Substitute h = v + 18 to w, which gives w = v + 37.\n3. Substitute v = g + 9 to w, which gives w = g + 46.\n4. Substitute g = n + 14 to w, which gives w = n + 60.\n5. Substitute n = i + 11 to w, which gives w = i + 71.\n6. Substitute i = 8 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 6315,
"question": "Suppose a collection of variables is related by the following definitions: m = h + 17; i = 8; w = m + 2; b = x + 19; p = i + 4; h = v + 18; n = i + 11; k = y + 2; e = k + 6; y = p + 7; x = e + 13; v = g + 9; g = n + 14. Given that i = 8, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"a": "c + 14", "q": "a + 3", "s": "q + 10", "m": "s + 8", "j": "m + 3", "z": "j + 19", "d": "c + 2", "k": "d + 7", "b": "k + 2", "t": "b + 7", "u": "t + 13", "x": "u + 18", "c": 13}, "premises": {"c": 13}, "target": "z"}, "answer": {"steps": [["j", "m + 3", "m + 22"], ["m", "s + 8", "s + 30"], ["s", "q + 10", "q + 40"], ["q", "a + 3", "a + 43"], ["a", "c + 14", "c + 57"], ["c", 13, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"c": 13}, "is_reverse": true}} | 6,316 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = 13; a = c + 14; z = j + 19; d = c + 2; s = q + 10; m = s + 8; j = m + 3; b = k + 2; q = a + 3; u = t + 13; x = u + 18; k = d + 7; t = b + 7. Given that c = 13, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 3 to z, which gives z = m + 22.\n2. Substitute m = s + 8 to z, which gives z = s + 30.\n3. Substitute s = q + 10 to z, which gives z = q + 40.\n4. Substitute q = a + 3 to z, which gives z = a + 43.\n5. Substitute a = c + 14 to z, which gives z = c + 57.\n6. Substitute c = 13 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 6316,
"question": "Suppose a collection of variables is related by the following definitions: c = 13; a = c + 14; z = j + 19; d = c + 2; s = q + 10; m = s + 8; j = m + 3; b = k + 2; q = a + 3; u = t + 13; x = u + 18; k = d + 7; t = b + 7. Given that c = 13, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 5", "a": "w + 19", "p": "a + 12", "r": "p + 19", "s": "r + 8", "j": "s + 7", "o": "u + 1", "i": "o + 16", "b": "i + 14", "t": "b + 1", "q": "t + 19", "m": "q + 13", "u": 14}, "premises": {"u": 14}, "target": "j"}, "answer": {"steps": [["s", "r + 8", "r + 15"], ["r", "p + 19", "p + 34"], ["p", "a + 12", "a + 46"], ["a", "w + 19", "w + 65"], ["w", "u + 5", "u + 70"], ["u", 14, "84"]], "target_var_name": "j", "target_value": 84, "value_dict": {"u": 14}, "is_reverse": true}} | 6,317 | 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 = p + 19; a = w + 19; j = s + 7; u = 14; p = a + 12; w = u + 5; m = q + 13; o = u + 1; q = t + 19; i = o + 16; t = b + 1; b = i + 14; s = r + 8. If u = 14, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 8 to j, which gives j = r + 15.\n2. Substitute r = p + 19 to j, which gives j = p + 34.\n3. Substitute p = a + 12 to j, which gives j = a + 46.\n4. Substitute a = w + 19 to j, which gives j = w + 65.\n5. Substitute w = u + 5 to j, which gives j = u + 70.\n6. Substitute u = 14 to j, which gives j = 84.\n\nThus, the final answer is j = \\boxed{84}.",
"index": 6317,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = p + 19; a = w + 19; j = s + 7; u = 14; p = a + 12; w = u + 5; m = q + 13; o = u + 1; q = t + 19; i = o + 16; t = b + 1; b = i + 14; s = r + 8. If u = 14, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"y": "e + 14", "p": "y + 1", "m": "p + 6", "f": "m + 3", "o": "f + 16", "b": "o + 20", "i": "e + 10", "c": "i + 15", "j": "c + 19", "g": "j + 1", "v": "g + 20", "s": "v + 11", "e": 7}, "premises": {"e": 7}, "target": "b"}, "answer": {"steps": [["o", "f + 16", "f + 36"], ["f", "m + 3", "m + 39"], ["m", "p + 6", "p + 45"], ["p", "y + 1", "y + 46"], ["y", "e + 14", "e + 60"], ["e", 7, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"e": 7}, "is_reverse": true}} | 6,318 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = m + 3; c = i + 15; b = o + 20; j = c + 19; m = p + 6; g = j + 1; e = 7; i = e + 10; y = e + 14; p = y + 1; s = v + 11; o = f + 16; v = g + 20. Given that e = 7, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 16 to b, which gives b = f + 36.\n2. Substitute f = m + 3 to b, which gives b = m + 39.\n3. Substitute m = p + 6 to b, which gives b = p + 45.\n4. Substitute p = y + 1 to b, which gives b = y + 46.\n5. Substitute y = e + 14 to b, which gives b = e + 60.\n6. Substitute e = 7 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 6318,
"question": "Suppose a collection of variables is related by the following definitions: f = m + 3; c = i + 15; b = o + 20; j = c + 19; m = p + 6; g = j + 1; e = 7; i = e + 10; y = e + 14; p = y + 1; s = v + 11; o = f + 16; v = g + 20. Given that e = 7, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"k": "x + 16", "c": "k + 7", "s": "c + 15", "r": "s + 7", "a": "r + 7", "w": "a + 8", "j": "x + 10", "f": "j + 20", "g": "f + 12", "t": "g + 20", "v": "t + 3", "b": "v + 14", "x": 7}, "premises": {"x": 7}, "target": "w"}, "answer": {"steps": [["a", "r + 7", "r + 15"], ["r", "s + 7", "s + 22"], ["s", "c + 15", "c + 37"], ["c", "k + 7", "k + 44"], ["k", "x + 16", "x + 60"], ["x", 7, "67"]], "target_var_name": "w", "target_value": 67, "value_dict": {"x": 7}, "is_reverse": true}} | 6,319 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 10; k = x + 16; f = j + 20; b = v + 14; s = c + 15; c = k + 7; x = 7; g = f + 12; a = r + 7; w = a + 8; r = s + 7; v = t + 3; t = g + 20. If x = 7, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 7 to w, which gives w = r + 15.\n2. Substitute r = s + 7 to w, which gives w = s + 22.\n3. Substitute s = c + 15 to w, which gives w = c + 37.\n4. Substitute c = k + 7 to w, which gives w = k + 44.\n5. Substitute k = x + 16 to w, which gives w = x + 60.\n6. Substitute x = 7 to w, which gives w = 67.\n\nThus, the final answer is w = \\boxed{67}.",
"index": 6319,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 10; k = x + 16; f = j + 20; b = v + 14; s = c + 15; c = k + 7; x = 7; g = f + 12; a = r + 7; w = a + 8; r = s + 7; v = t + 3; t = g + 20. If x = 7, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 12", "p": "t + 1", "s": "p + 8", "h": "s + 18", "i": "h + 2", "f": "i + 4", "v": "m + 5", "d": "v + 8", "j": "d + 15", "w": "j + 14", "r": "w + 7", "a": "r + 3", "m": 16}, "premises": {"m": 16}, "target": "f"}, "answer": {"steps": [["i", "h + 2", "h + 6"], ["h", "s + 18", "s + 24"], ["s", "p + 8", "p + 32"], ["p", "t + 1", "t + 33"], ["t", "m + 12", "m + 45"], ["m", 16, "61"]], "target_var_name": "f", "target_value": 61, "value_dict": {"m": 16}, "is_reverse": true}} | 6,320 | 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 = t + 1; i = h + 2; r = w + 7; j = d + 15; v = m + 5; a = r + 3; m = 16; s = p + 8; f = i + 4; t = m + 12; w = j + 14; d = v + 8; h = s + 18. If m = 16, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 2 to f, which gives f = h + 6.\n2. Substitute h = s + 18 to f, which gives f = s + 24.\n3. Substitute s = p + 8 to f, which gives f = p + 32.\n4. Substitute p = t + 1 to f, which gives f = t + 33.\n5. Substitute t = m + 12 to f, which gives f = m + 45.\n6. Substitute m = 16 to f, which gives f = 61.\n\nThus, the final answer is f = \\boxed{61}.",
"index": 6320,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 1; i = h + 2; r = w + 7; j = d + 15; v = m + 5; a = r + 3; m = 16; s = p + 8; f = i + 4; t = m + 12; w = j + 14; d = v + 8; h = s + 18. If m = 16, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 16", "m": "r + 18", "g": "m + 17", "b": "g + 16", "l": "b + 7", "h": "l + 19", "a": "v + 10", "d": "a + 9", "q": "d + 15", "k": "q + 8", "o": "k + 18", "p": "o + 1", "v": 4}, "premises": {"v": 4}, "target": "h"}, "answer": {"steps": [["l", "b + 7", "b + 26"], ["b", "g + 16", "g + 42"], ["g", "m + 17", "m + 59"], ["m", "r + 18", "r + 77"], ["r", "v + 16", "v + 93"], ["v", 4, "97"]], "target_var_name": "h", "target_value": 97, "value_dict": {"v": 4}, "is_reverse": true}} | 6,321 | 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 = a + 9; m = r + 18; g = m + 17; l = b + 7; r = v + 16; v = 4; h = l + 19; b = g + 16; o = k + 18; k = q + 8; q = d + 15; a = v + 10; p = o + 1. If v = 4, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 7 to h, which gives h = b + 26.\n2. Substitute b = g + 16 to h, which gives h = g + 42.\n3. Substitute g = m + 17 to h, which gives h = m + 59.\n4. Substitute m = r + 18 to h, which gives h = r + 77.\n5. Substitute r = v + 16 to h, which gives h = v + 93.\n6. Substitute v = 4 to h, which gives h = 97.\n\nThus, the final answer is h = \\boxed{97}.",
"index": 6321,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = a + 9; m = r + 18; g = m + 17; l = b + 7; r = v + 16; v = 4; h = l + 19; b = g + 16; o = k + 18; k = q + 8; q = d + 15; a = v + 10; p = o + 1. If v = 4, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"d": "b + 18", "l": "d + 5", "m": "l + 2", "a": "m + 12", "p": "a + 20", "j": "p + 14", "k": "b + 13", "o": "k + 17", "c": "o + 15", "e": "c + 12", "t": "e + 18", "s": "t + 13", "b": 15}, "premises": {"b": 15}, "target": "j"}, "answer": {"steps": [["p", "a + 20", "a + 34"], ["a", "m + 12", "m + 46"], ["m", "l + 2", "l + 48"], ["l", "d + 5", "d + 53"], ["d", "b + 18", "b + 71"], ["b", 15, "86"]], "target_var_name": "j", "target_value": 86, "value_dict": {"b": 15}, "is_reverse": true}} | 6,322 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = c + 12; s = t + 13; k = b + 13; t = e + 18; a = m + 12; l = d + 5; p = a + 20; m = l + 2; d = b + 18; o = k + 17; j = p + 14; c = o + 15; b = 15. If b = 15, determine the 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 p = a + 20 to j, which gives j = a + 34.\n2. Substitute a = m + 12 to j, which gives j = m + 46.\n3. Substitute m = l + 2 to j, which gives j = l + 48.\n4. Substitute l = d + 5 to j, which gives j = d + 53.\n5. Substitute d = b + 18 to j, which gives j = b + 71.\n6. Substitute b = 15 to j, which gives j = 86.\n\nThus, the final answer is j = \\boxed{86}.",
"index": 6322,
"question": "Consider a system of variables where each variable is defined as follows: e = c + 12; s = t + 13; k = b + 13; t = e + 18; a = m + 12; l = d + 5; p = a + 20; m = l + 2; d = b + 18; o = k + 17; j = p + 14; c = o + 15; b = 15. If b = 15, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 4", "c": "e + 7", "m": "c + 16", "k": "m + 20", "u": "k + 1", "g": "u + 8", "t": "i + 15", "v": "t + 1", "x": "v + 17", "q": "x + 19", "j": "q + 16", "l": "j + 19", "i": 11}, "premises": {"i": 11}, "target": "g"}, "answer": {"steps": [["u", "k + 1", "k + 9"], ["k", "m + 20", "m + 29"], ["m", "c + 16", "c + 45"], ["c", "e + 7", "e + 52"], ["e", "i + 4", "i + 56"], ["i", 11, "67"]], "target_var_name": "g", "target_value": 67, "value_dict": {"i": 11}, "is_reverse": true}} | 6,323 | 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 = u + 8; c = e + 7; k = m + 20; e = i + 4; j = q + 16; u = k + 1; t = i + 15; x = v + 17; l = j + 19; m = c + 16; v = t + 1; q = x + 19; i = 11. If i = 11, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 1 to g, which gives g = k + 9.\n2. Substitute k = m + 20 to g, which gives g = m + 29.\n3. Substitute m = c + 16 to g, which gives g = c + 45.\n4. Substitute c = e + 7 to g, which gives g = e + 52.\n5. Substitute e = i + 4 to g, which gives g = i + 56.\n6. Substitute i = 11 to g, which gives g = 67.\n\nThus, the final answer is g = \\boxed{67}.",
"index": 6323,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = u + 8; c = e + 7; k = m + 20; e = i + 4; j = q + 16; u = k + 1; t = i + 15; x = v + 17; l = j + 19; m = c + 16; v = t + 1; q = x + 19; i = 11. If i = 11, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 15", "k": "i + 11", "h": "k + 10", "w": "h + 5", "f": "w + 18", "c": "f + 4", "s": "g + 4", "n": "s + 1", "e": "n + 4", "x": "e + 1", "j": "x + 11", "u": "j + 13", "g": 3}, "premises": {"g": 3}, "target": "c"}, "answer": {"steps": [["f", "w + 18", "w + 22"], ["w", "h + 5", "h + 27"], ["h", "k + 10", "k + 37"], ["k", "i + 11", "i + 48"], ["i", "g + 15", "g + 63"], ["g", 3, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"g": 3}, "is_reverse": true}} | 6,324 | 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 = e + 1; i = g + 15; s = g + 4; g = 3; w = h + 5; c = f + 4; k = i + 11; n = s + 1; h = k + 10; e = n + 4; u = j + 13; f = w + 18; j = x + 11. If g = 3, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 18 to c, which gives c = w + 22.\n2. Substitute w = h + 5 to c, which gives c = h + 27.\n3. Substitute h = k + 10 to c, which gives c = k + 37.\n4. Substitute k = i + 11 to c, which gives c = i + 48.\n5. Substitute i = g + 15 to c, which gives c = g + 63.\n6. Substitute g = 3 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 6324,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = e + 1; i = g + 15; s = g + 4; g = 3; w = h + 5; c = f + 4; k = i + 11; n = s + 1; h = k + 10; e = n + 4; u = j + 13; f = w + 18; j = x + 11. If g = 3, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 15", "z": "j + 3", "b": "z + 19", "f": "b + 13", "o": "f + 18", "d": "o + 2", "p": "c + 8", "q": "p + 1", "a": "q + 19", "w": "a + 8", "h": "w + 5", "i": "h + 12", "c": 8}, "premises": {"c": 8}, "target": "d"}, "answer": {"steps": [["o", "f + 18", "f + 20"], ["f", "b + 13", "b + 33"], ["b", "z + 19", "z + 52"], ["z", "j + 3", "j + 55"], ["j", "c + 15", "c + 70"], ["c", 8, "78"]], "target_var_name": "d", "target_value": 78, "value_dict": {"c": 8}, "is_reverse": true}} | 6,325 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = z + 19; i = h + 12; q = p + 1; w = a + 8; h = w + 5; d = o + 2; a = q + 19; j = c + 15; z = j + 3; f = b + 13; o = f + 18; c = 8; p = c + 8. If c = 8, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 18 to d, which gives d = f + 20.\n2. Substitute f = b + 13 to d, which gives d = b + 33.\n3. Substitute b = z + 19 to d, which gives d = z + 52.\n4. Substitute z = j + 3 to d, which gives d = j + 55.\n5. Substitute j = c + 15 to d, which gives d = c + 70.\n6. Substitute c = 8 to d, which gives d = 78.\n\nThus, the final answer is d = \\boxed{78}.",
"index": 6325,
"question": "Consider a system of variables where each variable is defined as follows: b = z + 19; i = h + 12; q = p + 1; w = a + 8; h = w + 5; d = o + 2; a = q + 19; j = c + 15; z = j + 3; f = b + 13; o = f + 18; c = 8; p = c + 8. If c = 8, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"l": "s + 7", "q": "l + 12", "r": "q + 10", "j": "r + 1", "a": "j + 16", "g": "a + 15", "w": "s + 15", "d": "w + 7", "f": "d + 5", "x": "f + 11", "t": "x + 17", "n": "t + 3", "s": 20}, "premises": {"s": 20}, "target": "g"}, "answer": {"steps": [["a", "j + 16", "j + 31"], ["j", "r + 1", "r + 32"], ["r", "q + 10", "q + 42"], ["q", "l + 12", "l + 54"], ["l", "s + 7", "s + 61"], ["s", 20, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"s": 20}, "is_reverse": true}} | 6,326 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 3; j = r + 1; x = f + 11; s = 20; d = w + 7; r = q + 10; f = d + 5; l = s + 7; t = x + 17; q = l + 12; g = a + 15; w = s + 15; a = j + 16. If s = 20, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 16 to g, which gives g = j + 31.\n2. Substitute j = r + 1 to g, which gives g = r + 32.\n3. Substitute r = q + 10 to g, which gives g = q + 42.\n4. Substitute q = l + 12 to g, which gives g = l + 54.\n5. Substitute l = s + 7 to g, which gives g = s + 61.\n6. Substitute s = 20 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 6326,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 3; j = r + 1; x = f + 11; s = 20; d = w + 7; r = q + 10; f = d + 5; l = s + 7; t = x + 17; q = l + 12; g = a + 15; w = s + 15; a = j + 16. If s = 20, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 1", "y": "e + 11", "j": "y + 5", "v": "j + 10", "f": "v + 11", "r": "f + 19", "p": "i + 11", "m": "p + 7", "b": "m + 6", "c": "b + 9", "k": "c + 16", "z": "k + 18", "i": 19}, "premises": {"i": 19}, "target": "r"}, "answer": {"steps": [["f", "v + 11", "v + 30"], ["v", "j + 10", "j + 40"], ["j", "y + 5", "y + 45"], ["y", "e + 11", "e + 56"], ["e", "i + 1", "i + 57"], ["i", 19, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"i": 19}, "is_reverse": true}} | 6,327 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = e + 11; j = y + 5; c = b + 9; z = k + 18; p = i + 11; e = i + 1; i = 19; b = m + 6; k = c + 16; v = j + 10; r = f + 19; f = v + 11; m = p + 7. If i = 19, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 11 to r, which gives r = v + 30.\n2. Substitute v = j + 10 to r, which gives r = j + 40.\n3. Substitute j = y + 5 to r, which gives r = y + 45.\n4. Substitute y = e + 11 to r, which gives r = e + 56.\n5. Substitute e = i + 1 to r, which gives r = i + 57.\n6. Substitute i = 19 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 6327,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = e + 11; j = y + 5; c = b + 9; z = k + 18; p = i + 11; e = i + 1; i = 19; b = m + 6; k = c + 16; v = j + 10; r = f + 19; f = v + 11; m = p + 7. If i = 19, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"b": "v + 19", "h": "b + 6", "y": "h + 7", "s": "y + 2", "w": "s + 7", "x": "w + 11", "l": "v + 13", "m": "l + 4", "i": "m + 16", "r": "i + 5", "q": "r + 18", "f": "q + 8", "v": 6}, "premises": {"v": 6}, "target": "x"}, "answer": {"steps": [["w", "s + 7", "s + 18"], ["s", "y + 2", "y + 20"], ["y", "h + 7", "h + 27"], ["h", "b + 6", "b + 33"], ["b", "v + 19", "v + 52"], ["v", 6, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"v": 6}, "is_reverse": true}} | 6,328 | 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 = b + 6; s = y + 2; f = q + 8; x = w + 11; l = v + 13; y = h + 7; r = i + 5; q = r + 18; b = v + 19; i = m + 16; w = s + 7; m = l + 4; v = 6. If v = 6, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 7 to x, which gives x = s + 18.\n2. Substitute s = y + 2 to x, which gives x = y + 20.\n3. Substitute y = h + 7 to x, which gives x = h + 27.\n4. Substitute h = b + 6 to x, which gives x = b + 33.\n5. Substitute b = v + 19 to x, which gives x = v + 52.\n6. Substitute v = 6 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 6328,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = b + 6; s = y + 2; f = q + 8; x = w + 11; l = v + 13; y = h + 7; r = i + 5; q = r + 18; b = v + 19; i = m + 16; w = s + 7; m = l + 4; v = 6. If v = 6, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 14", "e": "m + 16", "o": "e + 11", "n": "o + 10", "f": "n + 5", "w": "f + 2", "a": "c + 16", "l": "a + 9", "z": "l + 2", "q": "z + 7", "d": "q + 12", "r": "d + 3", "c": 3}, "premises": {"c": 3}, "target": "w"}, "answer": {"steps": [["f", "n + 5", "n + 7"], ["n", "o + 10", "o + 17"], ["o", "e + 11", "e + 28"], ["e", "m + 16", "m + 44"], ["m", "c + 14", "c + 58"], ["c", 3, "61"]], "target_var_name": "w", "target_value": 61, "value_dict": {"c": 3}, "is_reverse": true}} | 6,329 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = c + 16; f = n + 5; e = m + 16; w = f + 2; m = c + 14; q = z + 7; z = l + 2; l = a + 9; n = o + 10; d = q + 12; o = e + 11; r = d + 3; c = 3. If c = 3, determine 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 f = n + 5 to w, which gives w = n + 7.\n2. Substitute n = o + 10 to w, which gives w = o + 17.\n3. Substitute o = e + 11 to w, which gives w = e + 28.\n4. Substitute e = m + 16 to w, which gives w = m + 44.\n5. Substitute m = c + 14 to w, which gives w = c + 58.\n6. Substitute c = 3 to w, which gives w = 61.\n\nThus, the final answer is w = \\boxed{61}.",
"index": 6329,
"question": "Consider a system of variables where each variable is defined as follows: a = c + 16; f = n + 5; e = m + 16; w = f + 2; m = c + 14; q = z + 7; z = l + 2; l = a + 9; n = o + 10; d = q + 12; o = e + 11; r = d + 3; c = 3. If c = 3, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 11", "a": "t + 16", "h": "a + 11", "d": "h + 16", "u": "d + 6", "i": "u + 7", "p": "g + 5", "y": "p + 3", "m": "y + 5", "r": "m + 13", "o": "r + 8", "q": "o + 12", "g": 3}, "premises": {"g": 3}, "target": "i"}, "answer": {"steps": [["u", "d + 6", "d + 13"], ["d", "h + 16", "h + 29"], ["h", "a + 11", "a + 40"], ["a", "t + 16", "t + 56"], ["t", "g + 11", "g + 67"], ["g", 3, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"g": 3}, "is_reverse": true}} | 6,330 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = u + 7; q = o + 12; m = y + 5; h = a + 11; y = p + 3; t = g + 11; a = t + 16; r = m + 13; u = d + 6; o = r + 8; g = 3; d = h + 16; p = g + 5. Given that g = 3, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 6 to i, which gives i = d + 13.\n2. Substitute d = h + 16 to i, which gives i = h + 29.\n3. Substitute h = a + 11 to i, which gives i = a + 40.\n4. Substitute a = t + 16 to i, which gives i = t + 56.\n5. Substitute t = g + 11 to i, which gives i = g + 67.\n6. Substitute g = 3 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 6330,
"question": "Suppose a collection of variables is related by the following definitions: i = u + 7; q = o + 12; m = y + 5; h = a + 11; y = p + 3; t = g + 11; a = t + 16; r = m + 13; u = d + 6; o = r + 8; g = 3; d = h + 16; p = g + 5. Given that g = 3, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 5", "i": "z + 16", "j": "i + 17", "q": "j + 19", "x": "q + 18", "s": "x + 1", "f": "t + 6", "o": "f + 10", "y": "o + 16", "l": "y + 9", "n": "l + 10", "d": "n + 10", "t": 11}, "premises": {"t": 11}, "target": "s"}, "answer": {"steps": [["x", "q + 18", "q + 19"], ["q", "j + 19", "j + 38"], ["j", "i + 17", "i + 55"], ["i", "z + 16", "z + 71"], ["z", "t + 5", "t + 76"], ["t", 11, "87"]], "target_var_name": "s", "target_value": 87, "value_dict": {"t": 11}, "is_reverse": true}} | 6,331 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = l + 10; f = t + 6; x = q + 18; i = z + 16; t = 11; d = n + 10; s = x + 1; q = j + 19; z = t + 5; l = y + 9; o = f + 10; y = o + 16; j = i + 17. Given that t = 11, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 18 to s, which gives s = q + 19.\n2. Substitute q = j + 19 to s, which gives s = j + 38.\n3. Substitute j = i + 17 to s, which gives s = i + 55.\n4. Substitute i = z + 16 to s, which gives s = z + 71.\n5. Substitute z = t + 5 to s, which gives s = t + 76.\n6. Substitute t = 11 to s, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 6331,
"question": "Suppose a collection of variables is related by the following definitions: n = l + 10; f = t + 6; x = q + 18; i = z + 16; t = 11; d = n + 10; s = x + 1; q = j + 19; z = t + 5; l = y + 9; o = f + 10; y = o + 16; j = i + 17. Given that t = 11, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 19", "s": "n + 11", "p": "s + 18", "l": "p + 2", "i": "l + 16", "a": "i + 17", "f": "d + 20", "g": "f + 19", "v": "g + 2", "c": "v + 8", "h": "c + 20", "u": "h + 17", "d": 19}, "premises": {"d": 19}, "target": "a"}, "answer": {"steps": [["i", "l + 16", "l + 33"], ["l", "p + 2", "p + 35"], ["p", "s + 18", "s + 53"], ["s", "n + 11", "n + 64"], ["n", "d + 19", "d + 83"], ["d", 19, "102"]], "target_var_name": "a", "target_value": 102, "value_dict": {"d": 19}, "is_reverse": true}} | 6,332 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = d + 20; g = f + 19; u = h + 17; l = p + 2; n = d + 19; c = v + 8; v = g + 2; d = 19; p = s + 18; s = n + 11; i = l + 16; a = i + 17; h = c + 20. Given that d = 19, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 16 to a, which gives a = l + 33.\n2. Substitute l = p + 2 to a, which gives a = p + 35.\n3. Substitute p = s + 18 to a, which gives a = s + 53.\n4. Substitute s = n + 11 to a, which gives a = n + 64.\n5. Substitute n = d + 19 to a, which gives a = d + 83.\n6. Substitute d = 19 to a, which gives a = 102.\n\nThus, the final answer is a = \\boxed{102}.",
"index": 6332,
"question": "Suppose a collection of variables is related by the following definitions: f = d + 20; g = f + 19; u = h + 17; l = p + 2; n = d + 19; c = v + 8; v = g + 2; d = 19; p = s + 18; s = n + 11; i = l + 16; a = i + 17; h = c + 20. Given that d = 19, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 3", "u": "y + 10", "i": "u + 13", "k": "i + 4", "w": "k + 12", "r": "w + 20", "f": "j + 10", "p": "f + 13", "n": "p + 5", "g": "n + 17", "c": "g + 13", "h": "c + 19", "j": 19}, "premises": {"j": 19}, "target": "r"}, "answer": {"steps": [["w", "k + 12", "k + 32"], ["k", "i + 4", "i + 36"], ["i", "u + 13", "u + 49"], ["u", "y + 10", "y + 59"], ["y", "j + 3", "j + 62"], ["j", 19, "81"]], "target_var_name": "r", "target_value": 81, "value_dict": {"j": 19}, "is_reverse": true}} | 6,333 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = n + 17; j = 19; n = p + 5; k = i + 4; y = j + 3; w = k + 12; h = c + 19; c = g + 13; f = j + 10; p = f + 13; i = u + 13; r = w + 20; u = y + 10. If j = 19, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 12 to r, which gives r = k + 32.\n2. Substitute k = i + 4 to r, which gives r = i + 36.\n3. Substitute i = u + 13 to r, which gives r = u + 49.\n4. Substitute u = y + 10 to r, which gives r = y + 59.\n5. Substitute y = j + 3 to r, which gives r = j + 62.\n6. Substitute j = 19 to r, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 6333,
"question": "Consider a system of variables where each variable is defined as follows: g = n + 17; j = 19; n = p + 5; k = i + 4; y = j + 3; w = k + 12; h = c + 19; c = g + 13; f = j + 10; p = f + 13; i = u + 13; r = w + 20; u = y + 10. If j = 19, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 14", "m": "p + 19", "l": "m + 5", "n": "l + 5", "w": "n + 1", "q": "w + 17", "f": "r + 4", "k": "f + 3", "u": "k + 5", "h": "u + 12", "z": "h + 13", "d": "z + 11", "r": 16}, "premises": {"r": 16}, "target": "q"}, "answer": {"steps": [["w", "n + 1", "n + 18"], ["n", "l + 5", "l + 23"], ["l", "m + 5", "m + 28"], ["m", "p + 19", "p + 47"], ["p", "r + 14", "r + 61"], ["r", 16, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"r": 16}, "is_reverse": true}} | 6,334 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = n + 1; q = w + 17; r = 16; m = p + 19; p = r + 14; z = h + 13; k = f + 3; n = l + 5; u = k + 5; d = z + 11; l = m + 5; f = r + 4; h = u + 12. If r = 16, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 1 to q, which gives q = n + 18.\n2. Substitute n = l + 5 to q, which gives q = l + 23.\n3. Substitute l = m + 5 to q, which gives q = m + 28.\n4. Substitute m = p + 19 to q, which gives q = p + 47.\n5. Substitute p = r + 14 to q, which gives q = r + 61.\n6. Substitute r = 16 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 6334,
"question": "Consider a system of variables where each variable is defined as follows: w = n + 1; q = w + 17; r = 16; m = p + 19; p = r + 14; z = h + 13; k = f + 3; n = l + 5; u = k + 5; d = z + 11; l = m + 5; f = r + 4; h = u + 12. If r = 16, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 5", "r": "u + 10", "d": "r + 13", "t": "d + 11", "a": "t + 2", "n": "a + 3", "g": "b + 15", "h": "g + 14", "v": "h + 1", "j": "v + 3", "p": "j + 4", "z": "p + 19", "b": 16}, "premises": {"b": 16}, "target": "n"}, "answer": {"steps": [["a", "t + 2", "t + 5"], ["t", "d + 11", "d + 16"], ["d", "r + 13", "r + 29"], ["r", "u + 10", "u + 39"], ["u", "b + 5", "b + 44"], ["b", 16, "60"]], "target_var_name": "n", "target_value": 60, "value_dict": {"b": 16}, "is_reverse": true}} | 6,335 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = b + 15; r = u + 10; b = 16; v = h + 1; a = t + 2; z = p + 19; u = b + 5; n = a + 3; d = r + 13; p = j + 4; j = v + 3; h = g + 14; t = d + 11. If b = 16, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 2 to n, which gives n = t + 5.\n2. Substitute t = d + 11 to n, which gives n = d + 16.\n3. Substitute d = r + 13 to n, which gives n = r + 29.\n4. Substitute r = u + 10 to n, which gives n = u + 39.\n5. Substitute u = b + 5 to n, which gives n = b + 44.\n6. Substitute b = 16 to n, which gives n = 60.\n\nThus, the final answer is n = \\boxed{60}.",
"index": 6335,
"question": "Consider a system of variables where each variable is defined as follows: g = b + 15; r = u + 10; b = 16; v = h + 1; a = t + 2; z = p + 19; u = b + 5; n = a + 3; d = r + 13; p = j + 4; j = v + 3; h = g + 14; t = d + 11. If b = 16, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 11", "m": "p + 19", "g": "m + 8", "t": "g + 6", "y": "t + 12", "q": "y + 12", "w": "e + 8", "o": "w + 1", "d": "o + 20", "s": "d + 17", "c": "s + 19", "h": "c + 4", "e": 3}, "premises": {"e": 3}, "target": "q"}, "answer": {"steps": [["y", "t + 12", "t + 24"], ["t", "g + 6", "g + 30"], ["g", "m + 8", "m + 38"], ["m", "p + 19", "p + 57"], ["p", "e + 11", "e + 68"], ["e", 3, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"e": 3}, "is_reverse": true}} | 6,336 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = w + 1; q = y + 12; g = m + 8; t = g + 6; e = 3; d = o + 20; m = p + 19; w = e + 8; h = c + 4; s = d + 17; c = s + 19; y = t + 12; p = e + 11. If e = 3, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 12 to q, which gives q = t + 24.\n2. Substitute t = g + 6 to q, which gives q = g + 30.\n3. Substitute g = m + 8 to q, which gives q = m + 38.\n4. Substitute m = p + 19 to q, which gives q = p + 57.\n5. Substitute p = e + 11 to q, which gives q = e + 68.\n6. Substitute e = 3 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 6336,
"question": "Consider a system of variables where each variable is defined as follows: o = w + 1; q = y + 12; g = m + 8; t = g + 6; e = 3; d = o + 20; m = p + 19; w = e + 8; h = c + 4; s = d + 17; c = s + 19; y = t + 12; p = e + 11. If e = 3, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 5", "k": "w + 6", "i": "k + 11", "t": "i + 15", "b": "t + 13", "v": "b + 4", "z": "g + 19", "m": "z + 14", "j": "m + 3", "r": "j + 3", "e": "r + 5", "x": "e + 7", "g": 16}, "premises": {"g": 16}, "target": "v"}, "answer": {"steps": [["b", "t + 13", "t + 17"], ["t", "i + 15", "i + 32"], ["i", "k + 11", "k + 43"], ["k", "w + 6", "w + 49"], ["w", "g + 5", "g + 54"], ["g", 16, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"g": 16}, "is_reverse": true}} | 6,337 | 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 = j + 3; i = k + 11; g = 16; k = w + 6; e = r + 5; j = m + 3; z = g + 19; t = i + 15; b = t + 13; v = b + 4; w = g + 5; m = z + 14; x = e + 7. If g = 16, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 13 to v, which gives v = t + 17.\n2. Substitute t = i + 15 to v, which gives v = i + 32.\n3. Substitute i = k + 11 to v, which gives v = k + 43.\n4. Substitute k = w + 6 to v, which gives v = w + 49.\n5. Substitute w = g + 5 to v, which gives v = g + 54.\n6. Substitute g = 16 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 6337,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 3; i = k + 11; g = 16; k = w + 6; e = r + 5; j = m + 3; z = g + 19; t = i + 15; b = t + 13; v = b + 4; w = g + 5; m = z + 14; x = e + 7. If g = 16, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"f": "w + 20", "z": "f + 5", "h": "z + 2", "x": "h + 16", "m": "x + 15", "l": "m + 6", "y": "w + 10", "n": "y + 13", "a": "n + 19", "u": "a + 4", "d": "u + 7", "i": "d + 1", "w": 7}, "premises": {"w": 7}, "target": "l"}, "answer": {"steps": [["m", "x + 15", "x + 21"], ["x", "h + 16", "h + 37"], ["h", "z + 2", "z + 39"], ["z", "f + 5", "f + 44"], ["f", "w + 20", "w + 64"], ["w", 7, "71"]], "target_var_name": "l", "target_value": 71, "value_dict": {"w": 7}, "is_reverse": true}} | 6,338 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = a + 4; d = u + 7; w = 7; n = y + 13; a = n + 19; l = m + 6; f = w + 20; z = f + 5; y = w + 10; i = d + 1; x = h + 16; h = z + 2; m = x + 15. Given that w = 7, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 15 to l, which gives l = x + 21.\n2. Substitute x = h + 16 to l, which gives l = h + 37.\n3. Substitute h = z + 2 to l, which gives l = z + 39.\n4. Substitute z = f + 5 to l, which gives l = f + 44.\n5. Substitute f = w + 20 to l, which gives l = w + 64.\n6. Substitute w = 7 to l, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 6338,
"question": "Suppose a collection of variables is related by the following definitions: u = a + 4; d = u + 7; w = 7; n = y + 13; a = n + 19; l = m + 6; f = w + 20; z = f + 5; y = w + 10; i = d + 1; x = h + 16; h = z + 2; m = x + 15. Given that w = 7, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 8", "r": "u + 6", "v": "r + 9", "x": "v + 10", "t": "x + 12", "l": "t + 11", "j": "d + 10", "k": "j + 16", "a": "k + 9", "b": "a + 16", "f": "b + 11", "o": "f + 2", "d": 15}, "premises": {"d": 15}, "target": "l"}, "answer": {"steps": [["t", "x + 12", "x + 23"], ["x", "v + 10", "v + 33"], ["v", "r + 9", "r + 42"], ["r", "u + 6", "u + 48"], ["u", "d + 8", "d + 56"], ["d", 15, "71"]], "target_var_name": "l", "target_value": 71, "value_dict": {"d": 15}, "is_reverse": true}} | 6,339 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = x + 12; k = j + 16; o = f + 2; r = u + 6; d = 15; f = b + 11; a = k + 9; j = d + 10; b = a + 16; u = d + 8; l = t + 11; x = v + 10; v = r + 9. If d = 15, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 12 to l, which gives l = x + 23.\n2. Substitute x = v + 10 to l, which gives l = v + 33.\n3. Substitute v = r + 9 to l, which gives l = r + 42.\n4. Substitute r = u + 6 to l, which gives l = u + 48.\n5. Substitute u = d + 8 to l, which gives l = d + 56.\n6. Substitute d = 15 to l, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 6339,
"question": "Consider a system of variables where each variable is defined as follows: t = x + 12; k = j + 16; o = f + 2; r = u + 6; d = 15; f = b + 11; a = k + 9; j = d + 10; b = a + 16; u = d + 8; l = t + 11; x = v + 10; v = r + 9. If d = 15, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 11", "u": "e + 19", "q": "u + 9", "w": "q + 12", "t": "w + 15", "o": "t + 12", "f": "a + 4", "s": "f + 9", "d": "s + 19", "v": "d + 18", "r": "v + 2", "b": "r + 13", "a": 8}, "premises": {"a": 8}, "target": "o"}, "answer": {"steps": [["t", "w + 15", "w + 27"], ["w", "q + 12", "q + 39"], ["q", "u + 9", "u + 48"], ["u", "e + 19", "e + 67"], ["e", "a + 11", "a + 78"], ["a", 8, "86"]], "target_var_name": "o", "target_value": 86, "value_dict": {"a": 8}, "is_reverse": true}} | 6,340 | 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 = v + 2; q = u + 9; f = a + 4; u = e + 19; w = q + 12; s = f + 9; v = d + 18; b = r + 13; o = t + 12; t = w + 15; a = 8; e = a + 11; d = s + 19. If a = 8, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 15 to o, which gives o = w + 27.\n2. Substitute w = q + 12 to o, which gives o = q + 39.\n3. Substitute q = u + 9 to o, which gives o = u + 48.\n4. Substitute u = e + 19 to o, which gives o = e + 67.\n5. Substitute e = a + 11 to o, which gives o = a + 78.\n6. Substitute a = 8 to o, which gives o = 86.\n\nThus, the final answer is o = \\boxed{86}.",
"index": 6340,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = v + 2; q = u + 9; f = a + 4; u = e + 19; w = q + 12; s = f + 9; v = d + 18; b = r + 13; o = t + 12; t = w + 15; a = 8; e = a + 11; d = s + 19. If a = 8, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 8", "j": "q + 7", "l": "j + 19", "n": "l + 15", "b": "n + 3", "r": "b + 16", "p": "e + 10", "h": "p + 3", "c": "h + 18", "d": "c + 14", "g": "d + 6", "y": "g + 5", "e": 15}, "premises": {"e": 15}, "target": "r"}, "answer": {"steps": [["b", "n + 3", "n + 19"], ["n", "l + 15", "l + 34"], ["l", "j + 19", "j + 53"], ["j", "q + 7", "q + 60"], ["q", "e + 8", "e + 68"], ["e", 15, "83"]], "target_var_name": "r", "target_value": 83, "value_dict": {"e": 15}, "is_reverse": true}} | 6,341 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = p + 3; j = q + 7; y = g + 5; n = l + 15; q = e + 8; l = j + 19; d = c + 14; e = 15; g = d + 6; c = h + 18; b = n + 3; r = b + 16; p = e + 10. If e = 15, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 3 to r, which gives r = n + 19.\n2. Substitute n = l + 15 to r, which gives r = l + 34.\n3. Substitute l = j + 19 to r, which gives r = j + 53.\n4. Substitute j = q + 7 to r, which gives r = q + 60.\n5. Substitute q = e + 8 to r, which gives r = e + 68.\n6. Substitute e = 15 to r, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 6341,
"question": "Consider a system of variables where each variable is defined as follows: h = p + 3; j = q + 7; y = g + 5; n = l + 15; q = e + 8; l = j + 19; d = c + 14; e = 15; g = d + 6; c = h + 18; b = n + 3; r = b + 16; p = e + 10. If e = 15, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"b": "v + 20", "z": "b + 2", "u": "z + 7", "g": "u + 14", "n": "g + 1", "x": "n + 18", "o": "v + 20", "l": "o + 18", "t": "l + 19", "s": "t + 3", "i": "s + 20", "y": "i + 19", "v": 2}, "premises": {"v": 2}, "target": "x"}, "answer": {"steps": [["n", "g + 1", "g + 19"], ["g", "u + 14", "u + 33"], ["u", "z + 7", "z + 40"], ["z", "b + 2", "b + 42"], ["b", "v + 20", "v + 62"], ["v", 2, "64"]], "target_var_name": "x", "target_value": 64, "value_dict": {"v": 2}, "is_reverse": true}} | 6,342 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = v + 20; i = s + 20; y = i + 19; z = b + 2; x = n + 18; v = 2; g = u + 14; b = v + 20; n = g + 1; u = z + 7; s = t + 3; l = o + 18; t = l + 19. Given that v = 2, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 1 to x, which gives x = g + 19.\n2. Substitute g = u + 14 to x, which gives x = u + 33.\n3. Substitute u = z + 7 to x, which gives x = z + 40.\n4. Substitute z = b + 2 to x, which gives x = b + 42.\n5. Substitute b = v + 20 to x, which gives x = v + 62.\n6. Substitute v = 2 to x, which gives x = 64.\n\nThus, the final answer is x = \\boxed{64}.",
"index": 6342,
"question": "Suppose a collection of variables is related by the following definitions: o = v + 20; i = s + 20; y = i + 19; z = b + 2; x = n + 18; v = 2; g = u + 14; b = v + 20; n = g + 1; u = z + 7; s = t + 3; l = o + 18; t = l + 19. Given that v = 2, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 11", "k": "r + 11", "m": "k + 14", "z": "m + 12", "x": "z + 7", "l": "x + 20", "v": "u + 7", "o": "v + 3", "e": "o + 14", "q": "e + 12", "c": "q + 13", "h": "c + 3", "u": 9}, "premises": {"u": 9}, "target": "l"}, "answer": {"steps": [["x", "z + 7", "z + 27"], ["z", "m + 12", "m + 39"], ["m", "k + 14", "k + 53"], ["k", "r + 11", "r + 64"], ["r", "u + 11", "u + 75"], ["u", 9, "84"]], "target_var_name": "l", "target_value": 84, "value_dict": {"u": 9}, "is_reverse": true}} | 6,343 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = k + 14; c = q + 13; z = m + 12; r = u + 11; l = x + 20; q = e + 12; v = u + 7; u = 9; h = c + 3; e = o + 14; x = z + 7; k = r + 11; o = v + 3. Given that u = 9, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 7 to l, which gives l = z + 27.\n2. Substitute z = m + 12 to l, which gives l = m + 39.\n3. Substitute m = k + 14 to l, which gives l = k + 53.\n4. Substitute k = r + 11 to l, which gives l = r + 64.\n5. Substitute r = u + 11 to l, which gives l = u + 75.\n6. Substitute u = 9 to l, which gives l = 84.\n\nThus, the final answer is l = \\boxed{84}.",
"index": 6343,
"question": "Suppose a collection of variables is related by the following definitions: m = k + 14; c = q + 13; z = m + 12; r = u + 11; l = x + 20; q = e + 12; v = u + 7; u = 9; h = c + 3; e = o + 14; x = z + 7; k = r + 11; o = v + 3. Given that u = 9, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"l": "j + 16", "p": "l + 5", "y": "p + 4", "r": "y + 15", "m": "r + 2", "x": "m + 5", "o": "j + 7", "g": "o + 10", "f": "g + 9", "k": "f + 13", "w": "k + 10", "u": "w + 3", "j": 13}, "premises": {"j": 13}, "target": "x"}, "answer": {"steps": [["m", "r + 2", "r + 7"], ["r", "y + 15", "y + 22"], ["y", "p + 4", "p + 26"], ["p", "l + 5", "l + 31"], ["l", "j + 16", "j + 47"], ["j", 13, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"j": 13}, "is_reverse": true}} | 6,344 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 13; r = y + 15; f = g + 9; w = k + 10; l = j + 16; x = m + 5; p = l + 5; m = r + 2; u = w + 3; k = f + 13; o = j + 7; g = o + 10; y = p + 4. Given that j = 13, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 2 to x, which gives x = r + 7.\n2. Substitute r = y + 15 to x, which gives x = y + 22.\n3. Substitute y = p + 4 to x, which gives x = p + 26.\n4. Substitute p = l + 5 to x, which gives x = l + 31.\n5. Substitute l = j + 16 to x, which gives x = j + 47.\n6. Substitute j = 13 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 6344,
"question": "Suppose a collection of variables is related by the following definitions: j = 13; r = y + 15; f = g + 9; w = k + 10; l = j + 16; x = m + 5; p = l + 5; m = r + 2; u = w + 3; k = f + 13; o = j + 7; g = o + 10; y = p + 4. Given that j = 13, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "i + 18", "d": "h + 4", "j": "d + 13", "g": "j + 18", "p": "g + 2", "a": "p + 14", "t": "i + 20", "x": "t + 15", "l": "x + 13", "w": "l + 16", "b": "w + 18", "c": "b + 5", "i": 12}, "premises": {"i": 12}, "target": "a"}, "answer": {"steps": [["p", "g + 2", "g + 16"], ["g", "j + 18", "j + 34"], ["j", "d + 13", "d + 47"], ["d", "h + 4", "h + 51"], ["h", "i + 18", "i + 69"], ["i", 12, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"i": 12}, "is_reverse": true}} | 6,345 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = x + 13; b = w + 18; h = i + 18; x = t + 15; d = h + 4; a = p + 14; p = g + 2; t = i + 20; g = j + 18; w = l + 16; i = 12; j = d + 13; c = b + 5. Given that i = 12, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 2 to a, which gives a = g + 16.\n2. Substitute g = j + 18 to a, which gives a = j + 34.\n3. Substitute j = d + 13 to a, which gives a = d + 47.\n4. Substitute d = h + 4 to a, which gives a = h + 51.\n5. Substitute h = i + 18 to a, which gives a = i + 69.\n6. Substitute i = 12 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 6345,
"question": "Suppose a collection of variables is related by the following definitions: l = x + 13; b = w + 18; h = i + 18; x = t + 15; d = h + 4; a = p + 14; p = g + 2; t = i + 20; g = j + 18; w = l + 16; i = 12; j = d + 13; c = b + 5. Given that i = 12, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 11", "z": "m + 10", "p": "z + 10", "s": "p + 5", "w": "s + 5", "y": "w + 13", "x": "u + 8", "f": "x + 12", "i": "f + 11", "a": "i + 15", "k": "a + 9", "c": "k + 17", "u": 17}, "premises": {"u": 17}, "target": "y"}, "answer": {"steps": [["w", "s + 5", "s + 18"], ["s", "p + 5", "p + 23"], ["p", "z + 10", "z + 33"], ["z", "m + 10", "m + 43"], ["m", "u + 11", "u + 54"], ["u", 17, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"u": 17}, "is_reverse": true}} | 6,346 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = w + 13; u = 17; a = i + 15; f = x + 12; p = z + 10; m = u + 11; s = p + 5; i = f + 11; x = u + 8; c = k + 17; z = m + 10; w = s + 5; k = a + 9. If u = 17, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 5 to y, which gives y = s + 18.\n2. Substitute s = p + 5 to y, which gives y = p + 23.\n3. Substitute p = z + 10 to y, which gives y = z + 33.\n4. Substitute z = m + 10 to y, which gives y = m + 43.\n5. Substitute m = u + 11 to y, which gives y = u + 54.\n6. Substitute u = 17 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 6346,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = w + 13; u = 17; a = i + 15; f = x + 12; p = z + 10; m = u + 11; s = p + 5; i = f + 11; x = u + 8; c = k + 17; z = m + 10; w = s + 5; k = a + 9. If u = 17, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 12", "v": "u + 5", "y": "v + 5", "e": "y + 20", "w": "e + 9", "c": "w + 1", "n": "r + 6", "k": "n + 4", "h": "k + 10", "s": "h + 20", "p": "s + 2", "b": "p + 16", "r": 10}, "premises": {"r": 10}, "target": "c"}, "answer": {"steps": [["w", "e + 9", "e + 10"], ["e", "y + 20", "y + 30"], ["y", "v + 5", "v + 35"], ["v", "u + 5", "u + 40"], ["u", "r + 12", "r + 52"], ["r", 10, "62"]], "target_var_name": "c", "target_value": 62, "value_dict": {"r": 10}, "is_reverse": true}} | 6,347 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = r + 12; c = w + 1; h = k + 10; y = v + 5; e = y + 20; p = s + 2; s = h + 20; v = u + 5; k = n + 4; b = p + 16; r = 10; w = e + 9; n = r + 6. If r = 10, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 9 to c, which gives c = e + 10.\n2. Substitute e = y + 20 to c, which gives c = y + 30.\n3. Substitute y = v + 5 to c, which gives c = v + 35.\n4. Substitute v = u + 5 to c, which gives c = u + 40.\n5. Substitute u = r + 12 to c, which gives c = r + 52.\n6. Substitute r = 10 to c, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 6347,
"question": "Consider a system of variables where each variable is defined as follows: u = r + 12; c = w + 1; h = k + 10; y = v + 5; e = y + 20; p = s + 2; s = h + 20; v = u + 5; k = n + 4; b = p + 16; r = 10; w = e + 9; n = r + 6. If r = 10, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 7", "g": "f + 9", "t": "g + 20", "h": "t + 10", "k": "h + 5", "m": "k + 2", "p": "b + 19", "o": "p + 12", "q": "o + 13", "a": "q + 17", "r": "a + 14", "e": "r + 4", "b": 11}, "premises": {"b": 11}, "target": "m"}, "answer": {"steps": [["k", "h + 5", "h + 7"], ["h", "t + 10", "t + 17"], ["t", "g + 20", "g + 37"], ["g", "f + 9", "f + 46"], ["f", "b + 7", "b + 53"], ["b", 11, "64"]], "target_var_name": "m", "target_value": 64, "value_dict": {"b": 11}, "is_reverse": true}} | 6,348 | 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 = q + 17; o = p + 12; t = g + 20; e = r + 4; h = t + 10; b = 11; r = a + 14; p = b + 19; g = f + 9; k = h + 5; q = o + 13; f = b + 7; m = k + 2. If b = 11, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 5 to m, which gives m = h + 7.\n2. Substitute h = t + 10 to m, which gives m = t + 17.\n3. Substitute t = g + 20 to m, which gives m = g + 37.\n4. Substitute g = f + 9 to m, which gives m = f + 46.\n5. Substitute f = b + 7 to m, which gives m = b + 53.\n6. Substitute b = 11 to m, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 6348,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = q + 17; o = p + 12; t = g + 20; e = r + 4; h = t + 10; b = 11; r = a + 14; p = b + 19; g = f + 9; k = h + 5; q = o + 13; f = b + 7; m = k + 2. If b = 11, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 10", "z": "q + 11", "j": "z + 5", "p": "j + 5", "l": "p + 8", "b": "l + 11", "o": "r + 13", "h": "o + 8", "n": "h + 11", "c": "n + 13", "x": "c + 11", "f": "x + 15", "r": 14}, "premises": {"r": 14}, "target": "b"}, "answer": {"steps": [["l", "p + 8", "p + 19"], ["p", "j + 5", "j + 24"], ["j", "z + 5", "z + 29"], ["z", "q + 11", "q + 40"], ["q", "r + 10", "r + 50"], ["r", 14, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"r": 14}, "is_reverse": true}} | 6,349 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 13; b = l + 11; o = r + 13; r = 14; j = z + 5; p = j + 5; l = p + 8; h = o + 8; z = q + 11; q = r + 10; n = h + 11; x = c + 11; f = x + 15. If r = 14, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 8 to b, which gives b = p + 19.\n2. Substitute p = j + 5 to b, which gives b = j + 24.\n3. Substitute j = z + 5 to b, which gives b = z + 29.\n4. Substitute z = q + 11 to b, which gives b = q + 40.\n5. Substitute q = r + 10 to b, which gives b = r + 50.\n6. Substitute r = 14 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 6349,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 13; b = l + 11; o = r + 13; r = 14; j = z + 5; p = j + 5; l = p + 8; h = o + 8; z = q + 11; q = r + 10; n = h + 11; x = c + 11; f = x + 15. If r = 14, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 17", "j": "a + 5", "h": "j + 17", "k": "h + 11", "w": "k + 12", "e": "w + 12", "d": "o + 5", "l": "d + 15", "c": "l + 7", "s": "c + 18", "b": "s + 10", "n": "b + 18", "o": 20}, "premises": {"o": 20}, "target": "e"}, "answer": {"steps": [["w", "k + 12", "k + 24"], ["k", "h + 11", "h + 35"], ["h", "j + 17", "j + 52"], ["j", "a + 5", "a + 57"], ["a", "o + 17", "o + 74"], ["o", 20, "94"]], "target_var_name": "e", "target_value": 94, "value_dict": {"o": 20}, "is_reverse": true}} | 6,350 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 12; b = s + 10; a = o + 17; o = 20; s = c + 18; d = o + 5; c = l + 7; e = w + 12; n = b + 18; k = h + 11; h = j + 17; j = a + 5; l = d + 15. If o = 20, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 12 to e, which gives e = k + 24.\n2. Substitute k = h + 11 to e, which gives e = h + 35.\n3. Substitute h = j + 17 to e, which gives e = j + 52.\n4. Substitute j = a + 5 to e, which gives e = a + 57.\n5. Substitute a = o + 17 to e, which gives e = o + 74.\n6. Substitute o = 20 to e, which gives e = 94.\n\nThus, the final answer is e = \\boxed{94}.",
"index": 6350,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 12; b = s + 10; a = o + 17; o = 20; s = c + 18; d = o + 5; c = l + 7; e = w + 12; n = b + 18; k = h + 11; h = j + 17; j = a + 5; l = d + 15. If o = 20, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"j": "s + 18", "d": "j + 5", "e": "d + 14", "m": "e + 6", "u": "m + 11", "f": "u + 10", "y": "s + 20", "g": "y + 20", "t": "g + 18", "l": "t + 10", "c": "l + 11", "h": "c + 17", "s": 2}, "premises": {"s": 2}, "target": "f"}, "answer": {"steps": [["u", "m + 11", "m + 21"], ["m", "e + 6", "e + 27"], ["e", "d + 14", "d + 41"], ["d", "j + 5", "j + 46"], ["j", "s + 18", "s + 64"], ["s", 2, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"s": 2}, "is_reverse": true}} | 6,351 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = j + 5; u = m + 11; e = d + 14; s = 2; f = u + 10; h = c + 17; m = e + 6; j = s + 18; t = g + 18; y = s + 20; c = l + 11; l = t + 10; g = y + 20. Given that s = 2, find the 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 u = m + 11 to f, which gives f = m + 21.\n2. Substitute m = e + 6 to f, which gives f = e + 27.\n3. Substitute e = d + 14 to f, which gives f = d + 41.\n4. Substitute d = j + 5 to f, which gives f = j + 46.\n5. Substitute j = s + 18 to f, which gives f = s + 64.\n6. Substitute s = 2 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 6351,
"question": "Suppose a collection of variables is related by the following definitions: d = j + 5; u = m + 11; e = d + 14; s = 2; f = u + 10; h = c + 17; m = e + 6; j = s + 18; t = g + 18; y = s + 20; c = l + 11; l = t + 10; g = y + 20. Given that s = 2, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "s + 2", "e": "t + 15", "o": "e + 7", "x": "o + 4", "z": "x + 16", "k": "z + 19", "v": "s + 3", "w": "v + 14", "u": "w + 11", "a": "u + 4", "g": "a + 11", "r": "g + 17", "s": 12}, "premises": {"s": 12}, "target": "k"}, "answer": {"steps": [["z", "x + 16", "x + 35"], ["x", "o + 4", "o + 39"], ["o", "e + 7", "e + 46"], ["e", "t + 15", "t + 61"], ["t", "s + 2", "s + 63"], ["s", 12, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"s": 12}, "is_reverse": true}} | 6,352 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = t + 15; o = e + 7; v = s + 3; z = x + 16; x = o + 4; g = a + 11; w = v + 14; s = 12; r = g + 17; k = z + 19; a = u + 4; t = s + 2; u = w + 11. If s = 12, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 16 to k, which gives k = x + 35.\n2. Substitute x = o + 4 to k, which gives k = o + 39.\n3. Substitute o = e + 7 to k, which gives k = e + 46.\n4. Substitute e = t + 15 to k, which gives k = t + 61.\n5. Substitute t = s + 2 to k, which gives k = s + 63.\n6. Substitute s = 12 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 6352,
"question": "Consider a system of variables where each variable is defined as follows: e = t + 15; o = e + 7; v = s + 3; z = x + 16; x = o + 4; g = a + 11; w = v + 14; s = 12; r = g + 17; k = z + 19; a = u + 4; t = s + 2; u = w + 11. If s = 12, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"m": "a + 19", "j": "m + 6", "e": "j + 20", "f": "e + 5", "t": "f + 13", "g": "t + 14", "p": "a + 2", "b": "p + 18", "l": "b + 17", "u": "l + 1", "o": "u + 11", "n": "o + 7", "a": 19}, "premises": {"a": 19}, "target": "g"}, "answer": {"steps": [["t", "f + 13", "f + 27"], ["f", "e + 5", "e + 32"], ["e", "j + 20", "j + 52"], ["j", "m + 6", "m + 58"], ["m", "a + 19", "a + 77"], ["a", 19, "96"]], "target_var_name": "g", "target_value": 96, "value_dict": {"a": 19}, "is_reverse": true}} | 6,353 | 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 = 19; p = a + 2; g = t + 14; b = p + 18; e = j + 20; f = e + 5; t = f + 13; l = b + 17; u = l + 1; o = u + 11; n = o + 7; j = m + 6; m = a + 19. If a = 19, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = f + 13 to g, which gives g = f + 27.\n2. Substitute f = e + 5 to g, which gives g = e + 32.\n3. Substitute e = j + 20 to g, which gives g = j + 52.\n4. Substitute j = m + 6 to g, which gives g = m + 58.\n5. Substitute m = a + 19 to g, which gives g = a + 77.\n6. Substitute a = 19 to g, which gives g = 96.\n\nThus, the final answer is g = \\boxed{96}.",
"index": 6353,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 19; p = a + 2; g = t + 14; b = p + 18; e = j + 20; f = e + 5; t = f + 13; l = b + 17; u = l + 1; o = u + 11; n = o + 7; j = m + 6; m = a + 19. If a = 19, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"p": "j + 4", "g": "p + 7", "s": "g + 19", "u": "s + 3", "l": "u + 4", "m": "l + 13", "q": "j + 18", "y": "q + 3", "o": "y + 14", "t": "o + 12", "b": "t + 11", "i": "b + 11", "j": 16}, "premises": {"j": 16}, "target": "m"}, "answer": {"steps": [["l", "u + 4", "u + 17"], ["u", "s + 3", "s + 20"], ["s", "g + 19", "g + 39"], ["g", "p + 7", "p + 46"], ["p", "j + 4", "j + 50"], ["j", 16, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"j": 16}, "is_reverse": true}} | 6,354 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = j + 4; i = b + 11; u = s + 3; l = u + 4; j = 16; m = l + 13; b = t + 11; g = p + 7; o = y + 14; y = q + 3; t = o + 12; s = g + 19; q = j + 18. If j = 16, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 4 to m, which gives m = u + 17.\n2. Substitute u = s + 3 to m, which gives m = s + 20.\n3. Substitute s = g + 19 to m, which gives m = g + 39.\n4. Substitute g = p + 7 to m, which gives m = p + 46.\n5. Substitute p = j + 4 to m, which gives m = j + 50.\n6. Substitute j = 16 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 6354,
"question": "Consider a system of variables where each variable is defined as follows: p = j + 4; i = b + 11; u = s + 3; l = u + 4; j = 16; m = l + 13; b = t + 11; g = p + 7; o = y + 14; y = q + 3; t = o + 12; s = g + 19; q = j + 18. If j = 16, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 6", "i": "y + 4", "n": "i + 15", "g": "n + 20", "m": "g + 6", "b": "m + 1", "j": "d + 13", "h": "j + 14", "a": "h + 9", "t": "a + 18", "q": "t + 18", "c": "q + 3", "d": 7}, "premises": {"d": 7}, "target": "b"}, "answer": {"steps": [["m", "g + 6", "g + 7"], ["g", "n + 20", "n + 27"], ["n", "i + 15", "i + 42"], ["i", "y + 4", "y + 46"], ["y", "d + 6", "d + 52"], ["d", 7, "59"]], "target_var_name": "b", "target_value": 59, "value_dict": {"d": 7}, "is_reverse": true}} | 6,355 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 1; m = g + 6; i = y + 4; t = a + 18; y = d + 6; n = i + 15; d = 7; a = h + 9; q = t + 18; h = j + 14; c = q + 3; j = d + 13; g = n + 20. Given that d = 7, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 6 to b, which gives b = g + 7.\n2. Substitute g = n + 20 to b, which gives b = n + 27.\n3. Substitute n = i + 15 to b, which gives b = i + 42.\n4. Substitute i = y + 4 to b, which gives b = y + 46.\n5. Substitute y = d + 6 to b, which gives b = d + 52.\n6. Substitute d = 7 to b, which gives b = 59.\n\nThus, the final answer is b = \\boxed{59}.",
"index": 6355,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 1; m = g + 6; i = y + 4; t = a + 18; y = d + 6; n = i + 15; d = 7; a = h + 9; q = t + 18; h = j + 14; c = q + 3; j = d + 13; g = n + 20. Given that d = 7, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 10", "v": "x + 7", "n": "v + 13", "h": "n + 19", "l": "h + 16", "o": "l + 15", "f": "t + 10", "b": "f + 4", "z": "b + 14", "m": "z + 15", "c": "m + 3", "r": "c + 16", "t": 10}, "premises": {"t": 10}, "target": "o"}, "answer": {"steps": [["l", "h + 16", "h + 31"], ["h", "n + 19", "n + 50"], ["n", "v + 13", "v + 63"], ["v", "x + 7", "x + 70"], ["x", "t + 10", "t + 80"], ["t", 10, "90"]], "target_var_name": "o", "target_value": 90, "value_dict": {"t": 10}, "is_reverse": true}} | 6,356 | 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 = f + 4; c = m + 3; m = z + 15; v = x + 7; t = 10; r = c + 16; l = h + 16; z = b + 14; h = n + 19; f = t + 10; o = l + 15; x = t + 10; n = v + 13. If t = 10, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 16 to o, which gives o = h + 31.\n2. Substitute h = n + 19 to o, which gives o = n + 50.\n3. Substitute n = v + 13 to o, which gives o = v + 63.\n4. Substitute v = x + 7 to o, which gives o = x + 70.\n5. Substitute x = t + 10 to o, which gives o = t + 80.\n6. Substitute t = 10 to o, which gives o = 90.\n\nThus, the final answer is o = \\boxed{90}.",
"index": 6356,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 4; c = m + 3; m = z + 15; v = x + 7; t = 10; r = c + 16; l = h + 16; z = b + 14; h = n + 19; f = t + 10; o = l + 15; x = t + 10; n = v + 13. If t = 10, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 7", "c": "m + 12", "k": "c + 17", "d": "k + 11", "e": "d + 8", "u": "e + 4", "a": "p + 12", "w": "a + 11", "v": "w + 17", "n": "v + 20", "i": "n + 3", "f": "i + 4", "p": 18}, "premises": {"p": 18}, "target": "u"}, "answer": {"steps": [["e", "d + 8", "d + 12"], ["d", "k + 11", "k + 23"], ["k", "c + 17", "c + 40"], ["c", "m + 12", "m + 52"], ["m", "p + 7", "p + 59"], ["p", 18, "77"]], "target_var_name": "u", "target_value": 77, "value_dict": {"p": 18}, "is_reverse": true}} | 6,357 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = p + 12; e = d + 8; u = e + 4; n = v + 20; m = p + 7; c = m + 12; f = i + 4; i = n + 3; k = c + 17; d = k + 11; v = w + 17; w = a + 11; p = 18. Given that p = 18, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 8 to u, which gives u = d + 12.\n2. Substitute d = k + 11 to u, which gives u = k + 23.\n3. Substitute k = c + 17 to u, which gives u = c + 40.\n4. Substitute c = m + 12 to u, which gives u = m + 52.\n5. Substitute m = p + 7 to u, which gives u = p + 59.\n6. Substitute p = 18 to u, which gives u = 77.\n\nThus, the final answer is u = \\boxed{77}.",
"index": 6357,
"question": "Suppose a collection of variables is related by the following definitions: a = p + 12; e = d + 8; u = e + 4; n = v + 20; m = p + 7; c = m + 12; f = i + 4; i = n + 3; k = c + 17; d = k + 11; v = w + 17; w = a + 11; p = 18. Given that p = 18, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 4", "j": "r + 19", "i": "j + 7", "u": "i + 11", "t": "u + 3", "c": "t + 16", "k": "n + 4", "v": "k + 12", "y": "v + 6", "l": "y + 18", "z": "l + 7", "w": "z + 19", "n": 10}, "premises": {"n": 10}, "target": "c"}, "answer": {"steps": [["t", "u + 3", "u + 19"], ["u", "i + 11", "i + 30"], ["i", "j + 7", "j + 37"], ["j", "r + 19", "r + 56"], ["r", "n + 4", "n + 60"], ["n", 10, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"n": 10}, "is_reverse": true}} | 6,358 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = v + 6; k = n + 4; z = l + 7; c = t + 16; u = i + 11; r = n + 4; t = u + 3; i = j + 7; w = z + 19; n = 10; j = r + 19; l = y + 18; v = k + 12. If n = 10, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 3 to c, which gives c = u + 19.\n2. Substitute u = i + 11 to c, which gives c = i + 30.\n3. Substitute i = j + 7 to c, which gives c = j + 37.\n4. Substitute j = r + 19 to c, which gives c = r + 56.\n5. Substitute r = n + 4 to c, which gives c = n + 60.\n6. Substitute n = 10 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 6358,
"question": "Consider a system of variables where each variable is defined as follows: y = v + 6; k = n + 4; z = l + 7; c = t + 16; u = i + 11; r = n + 4; t = u + 3; i = j + 7; w = z + 19; n = 10; j = r + 19; l = y + 18; v = k + 12. If n = 10, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 15", "a": "i + 5", "b": "a + 14", "z": "b + 6", "r": "z + 16", "h": "r + 3", "t": "n + 16", "c": "t + 5", "m": "c + 14", "y": "m + 4", "w": "y + 10", "u": "w + 5", "n": 6}, "premises": {"n": 6}, "target": "h"}, "answer": {"steps": [["r", "z + 16", "z + 19"], ["z", "b + 6", "b + 25"], ["b", "a + 14", "a + 39"], ["a", "i + 5", "i + 44"], ["i", "n + 15", "n + 59"], ["n", 6, "65"]], "target_var_name": "h", "target_value": 65, "value_dict": {"n": 6}, "is_reverse": true}} | 6,359 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 5; t = n + 16; w = y + 10; i = n + 15; b = a + 14; y = m + 4; m = c + 14; n = 6; h = r + 3; a = i + 5; z = b + 6; u = w + 5; r = z + 16. If n = 6, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 16 to h, which gives h = z + 19.\n2. Substitute z = b + 6 to h, which gives h = b + 25.\n3. Substitute b = a + 14 to h, which gives h = a + 39.\n4. Substitute a = i + 5 to h, which gives h = i + 44.\n5. Substitute i = n + 15 to h, which gives h = n + 59.\n6. Substitute n = 6 to h, which gives h = 65.\n\nThus, the final answer is h = \\boxed{65}.",
"index": 6359,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 5; t = n + 16; w = y + 10; i = n + 15; b = a + 14; y = m + 4; m = c + 14; n = 6; h = r + 3; a = i + 5; z = b + 6; u = w + 5; r = z + 16. If n = 6, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 20", "r": "o + 14", "x": "r + 18", "s": "x + 3", "d": "s + 7", "l": "d + 12", "p": "c + 16", "m": "p + 12", "f": "m + 13", "b": "f + 16", "n": "b + 4", "t": "n + 14", "c": 14}, "premises": {"c": 14}, "target": "l"}, "answer": {"steps": [["d", "s + 7", "s + 19"], ["s", "x + 3", "x + 22"], ["x", "r + 18", "r + 40"], ["r", "o + 14", "o + 54"], ["o", "c + 20", "c + 74"], ["c", 14, "88"]], "target_var_name": "l", "target_value": 88, "value_dict": {"c": 14}, "is_reverse": true}} | 6,360 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = o + 14; f = m + 13; n = b + 4; o = c + 20; m = p + 12; t = n + 14; c = 14; p = c + 16; x = r + 18; d = s + 7; s = x + 3; b = f + 16; l = d + 12. Given that c = 14, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 7 to l, which gives l = s + 19.\n2. Substitute s = x + 3 to l, which gives l = x + 22.\n3. Substitute x = r + 18 to l, which gives l = r + 40.\n4. Substitute r = o + 14 to l, which gives l = o + 54.\n5. Substitute o = c + 20 to l, which gives l = c + 74.\n6. Substitute c = 14 to l, which gives l = 88.\n\nThus, the final answer is l = \\boxed{88}.",
"index": 6360,
"question": "Suppose a collection of variables is related by the following definitions: r = o + 14; f = m + 13; n = b + 4; o = c + 20; m = p + 12; t = n + 14; c = 14; p = c + 16; x = r + 18; d = s + 7; s = x + 3; b = f + 16; l = d + 12. Given that c = 14, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 8", "m": "u + 7", "s": "m + 6", "k": "s + 14", "p": "k + 10", "a": "p + 12", "w": "f + 2", "l": "w + 8", "j": "l + 8", "n": "j + 10", "q": "n + 12", "z": "q + 4", "f": 13}, "premises": {"f": 13}, "target": "a"}, "answer": {"steps": [["p", "k + 10", "k + 22"], ["k", "s + 14", "s + 36"], ["s", "m + 6", "m + 42"], ["m", "u + 7", "u + 49"], ["u", "f + 8", "f + 57"], ["f", 13, "70"]], "target_var_name": "a", "target_value": 70, "value_dict": {"f": 13}, "is_reverse": true}} | 6,361 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = f + 8; m = u + 7; z = q + 4; l = w + 8; k = s + 14; a = p + 12; n = j + 10; s = m + 6; q = n + 12; p = k + 10; f = 13; j = l + 8; w = f + 2. Given that f = 13, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 10 to a, which gives a = k + 22.\n2. Substitute k = s + 14 to a, which gives a = s + 36.\n3. Substitute s = m + 6 to a, which gives a = m + 42.\n4. Substitute m = u + 7 to a, which gives a = u + 49.\n5. Substitute u = f + 8 to a, which gives a = f + 57.\n6. Substitute f = 13 to a, which gives a = 70.\n\nThus, the final answer is a = \\boxed{70}.",
"index": 6361,
"question": "Suppose a collection of variables is related by the following definitions: u = f + 8; m = u + 7; z = q + 4; l = w + 8; k = s + 14; a = p + 12; n = j + 10; s = m + 6; q = n + 12; p = k + 10; f = 13; j = l + 8; w = f + 2. Given that f = 13, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 13", "a": "s + 6", "o": "a + 9", "m": "o + 2", "y": "m + 18", "l": "y + 12", "u": "c + 13", "w": "u + 17", "g": "w + 18", "e": "g + 5", "f": "e + 18", "j": "f + 11", "c": 15}, "premises": {"c": 15}, "target": "l"}, "answer": {"steps": [["y", "m + 18", "m + 30"], ["m", "o + 2", "o + 32"], ["o", "a + 9", "a + 41"], ["a", "s + 6", "s + 47"], ["s", "c + 13", "c + 60"], ["c", 15, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"c": 15}, "is_reverse": true}} | 6,362 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 13; s = c + 13; y = m + 18; a = s + 6; c = 15; g = w + 18; l = y + 12; w = u + 17; f = e + 18; m = o + 2; j = f + 11; e = g + 5; o = a + 9. If c = 15, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 18 to l, which gives l = m + 30.\n2. Substitute m = o + 2 to l, which gives l = o + 32.\n3. Substitute o = a + 9 to l, which gives l = a + 41.\n4. Substitute a = s + 6 to l, which gives l = s + 47.\n5. Substitute s = c + 13 to l, which gives l = c + 60.\n6. Substitute c = 15 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 6362,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 13; s = c + 13; y = m + 18; a = s + 6; c = 15; g = w + 18; l = y + 12; w = u + 17; f = e + 18; m = o + 2; j = f + 11; e = g + 5; o = a + 9. If c = 15, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 18", "a": "t + 14", "p": "a + 9", "m": "p + 5", "u": "m + 1", "f": "u + 11", "d": "o + 3", "l": "d + 10", "g": "l + 17", "k": "g + 8", "q": "k + 11", "b": "q + 15", "o": 10}, "premises": {"o": 10}, "target": "f"}, "answer": {"steps": [["u", "m + 1", "m + 12"], ["m", "p + 5", "p + 17"], ["p", "a + 9", "a + 26"], ["a", "t + 14", "t + 40"], ["t", "o + 18", "o + 58"], ["o", 10, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"o": 10}, "is_reverse": true}} | 6,363 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = p + 5; q = k + 11; b = q + 15; f = u + 11; k = g + 8; g = l + 17; d = o + 3; t = o + 18; l = d + 10; o = 10; u = m + 1; a = t + 14; p = a + 9. Given that o = 10, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 1 to f, which gives f = m + 12.\n2. Substitute m = p + 5 to f, which gives f = p + 17.\n3. Substitute p = a + 9 to f, which gives f = a + 26.\n4. Substitute a = t + 14 to f, which gives f = t + 40.\n5. Substitute t = o + 18 to f, which gives f = o + 58.\n6. Substitute o = 10 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 6363,
"question": "Suppose a collection of variables is related by the following definitions: m = p + 5; q = k + 11; b = q + 15; f = u + 11; k = g + 8; g = l + 17; d = o + 3; t = o + 18; l = d + 10; o = 10; u = m + 1; a = t + 14; p = a + 9. Given that o = 10, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"i": "t + 13", "w": "i + 5", "j": "w + 9", "x": "j + 11", "u": "x + 1", "g": "u + 14", "r": "t + 5", "e": "r + 16", "q": "e + 12", "n": "q + 18", "k": "n + 19", "b": "k + 10", "t": 8}, "premises": {"t": 8}, "target": "g"}, "answer": {"steps": [["u", "x + 1", "x + 15"], ["x", "j + 11", "j + 26"], ["j", "w + 9", "w + 35"], ["w", "i + 5", "i + 40"], ["i", "t + 13", "t + 53"], ["t", 8, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"t": 8}, "is_reverse": true}} | 6,364 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = x + 1; k = n + 19; q = e + 12; j = w + 9; n = q + 18; i = t + 13; w = i + 5; e = r + 16; b = k + 10; g = u + 14; t = 8; r = t + 5; x = j + 11. If t = 8, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 1 to g, which gives g = x + 15.\n2. Substitute x = j + 11 to g, which gives g = j + 26.\n3. Substitute j = w + 9 to g, which gives g = w + 35.\n4. Substitute w = i + 5 to g, which gives g = i + 40.\n5. Substitute i = t + 13 to g, which gives g = t + 53.\n6. Substitute t = 8 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 6364,
"question": "Consider a system of variables where each variable is defined as follows: u = x + 1; k = n + 19; q = e + 12; j = w + 9; n = q + 18; i = t + 13; w = i + 5; e = r + 16; b = k + 10; g = u + 14; t = 8; r = t + 5; x = j + 11. If t = 8, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "w + 9", "g": "f + 1", "d": "g + 9", "x": "d + 3", "p": "x + 1", "b": "p + 13", "i": "w + 6", "a": "i + 12", "n": "a + 17", "o": "n + 11", "j": "o + 20", "m": "j + 11", "w": 14}, "premises": {"w": 14}, "target": "b"}, "answer": {"steps": [["p", "x + 1", "x + 14"], ["x", "d + 3", "d + 17"], ["d", "g + 9", "g + 26"], ["g", "f + 1", "f + 27"], ["f", "w + 9", "w + 36"], ["w", 14, "50"]], "target_var_name": "b", "target_value": 50, "value_dict": {"w": 14}, "is_reverse": true}} | 6,365 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = g + 9; x = d + 3; j = o + 20; n = a + 17; p = x + 1; i = w + 6; w = 14; g = f + 1; a = i + 12; b = p + 13; m = j + 11; f = w + 9; o = n + 11. If w = 14, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 1 to b, which gives b = x + 14.\n2. Substitute x = d + 3 to b, which gives b = d + 17.\n3. Substitute d = g + 9 to b, which gives b = g + 26.\n4. Substitute g = f + 1 to b, which gives b = f + 27.\n5. Substitute f = w + 9 to b, which gives b = w + 36.\n6. Substitute w = 14 to b, which gives b = 50.\n\nThus, the final answer is b = \\boxed{50}.",
"index": 6365,
"question": "Consider a system of variables where each variable is defined as follows: d = g + 9; x = d + 3; j = o + 20; n = a + 17; p = x + 1; i = w + 6; w = 14; g = f + 1; a = i + 12; b = p + 13; m = j + 11; f = w + 9; o = n + 11. If w = 14, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 5", "i": "o + 5", "c": "i + 19", "j": "c + 10", "l": "j + 9", "b": "l + 9", "d": "t + 1", "s": "d + 14", "m": "s + 11", "r": "m + 15", "n": "r + 13", "v": "n + 2", "t": 8}, "premises": {"t": 8}, "target": "b"}, "answer": {"steps": [["l", "j + 9", "j + 18"], ["j", "c + 10", "c + 28"], ["c", "i + 19", "i + 47"], ["i", "o + 5", "o + 52"], ["o", "t + 5", "t + 57"], ["t", 8, "65"]], "target_var_name": "b", "target_value": 65, "value_dict": {"t": 8}, "is_reverse": true}} | 6,366 | 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 = t + 5; l = j + 9; c = i + 19; b = l + 9; i = o + 5; t = 8; d = t + 1; v = n + 2; m = s + 11; s = d + 14; r = m + 15; n = r + 13; j = c + 10. If t = 8, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 9 to b, which gives b = j + 18.\n2. Substitute j = c + 10 to b, which gives b = c + 28.\n3. Substitute c = i + 19 to b, which gives b = i + 47.\n4. Substitute i = o + 5 to b, which gives b = o + 52.\n5. Substitute o = t + 5 to b, which gives b = t + 57.\n6. Substitute t = 8 to b, which gives b = 65.\n\nThus, the final answer is b = \\boxed{65}.",
"index": 6366,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = t + 5; l = j + 9; c = i + 19; b = l + 9; i = o + 5; t = 8; d = t + 1; v = n + 2; m = s + 11; s = d + 14; r = m + 15; n = r + 13; j = c + 10. If t = 8, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 19", "d": "a + 19", "z": "d + 12", "b": "z + 17", "l": "b + 4", "k": "l + 7", "y": "g + 5", "x": "y + 8", "m": "x + 9", "h": "m + 14", "c": "h + 17", "i": "c + 11", "g": 18}, "premises": {"g": 18}, "target": "k"}, "answer": {"steps": [["l", "b + 4", "b + 11"], ["b", "z + 17", "z + 28"], ["z", "d + 12", "d + 40"], ["d", "a + 19", "a + 59"], ["a", "g + 19", "g + 78"], ["g", 18, "96"]], "target_var_name": "k", "target_value": 96, "value_dict": {"g": 18}, "is_reverse": true}} | 6,367 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = d + 12; d = a + 19; l = b + 4; b = z + 17; m = x + 9; y = g + 5; h = m + 14; k = l + 7; g = 18; c = h + 17; x = y + 8; i = c + 11; a = g + 19. Given that g = 18, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 4 to k, which gives k = b + 11.\n2. Substitute b = z + 17 to k, which gives k = z + 28.\n3. Substitute z = d + 12 to k, which gives k = d + 40.\n4. Substitute d = a + 19 to k, which gives k = a + 59.\n5. Substitute a = g + 19 to k, which gives k = g + 78.\n6. Substitute g = 18 to k, which gives k = 96.\n\nThus, the final answer is k = \\boxed{96}.",
"index": 6367,
"question": "Suppose a collection of variables is related by the following definitions: z = d + 12; d = a + 19; l = b + 4; b = z + 17; m = x + 9; y = g + 5; h = m + 14; k = l + 7; g = 18; c = h + 17; x = y + 8; i = c + 11; a = g + 19. Given that g = 18, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"p": "l + 1", "g": "p + 3", "k": "g + 11", "r": "k + 19", "w": "r + 1", "v": "w + 4", "a": "l + 19", "e": "a + 13", "j": "e + 3", "x": "j + 1", "b": "x + 5", "s": "b + 15", "l": 3}, "premises": {"l": 3}, "target": "v"}, "answer": {"steps": [["w", "r + 1", "r + 5"], ["r", "k + 19", "k + 24"], ["k", "g + 11", "g + 35"], ["g", "p + 3", "p + 38"], ["p", "l + 1", "l + 39"], ["l", 3, "42"]], "target_var_name": "v", "target_value": 42, "value_dict": {"l": 3}, "is_reverse": true}} | 6,368 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = j + 1; j = e + 3; r = k + 19; l = 3; b = x + 5; w = r + 1; p = l + 1; g = p + 3; k = g + 11; a = l + 19; v = w + 4; e = a + 13; s = b + 15. Given that l = 3, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 1 to v, which gives v = r + 5.\n2. Substitute r = k + 19 to v, which gives v = k + 24.\n3. Substitute k = g + 11 to v, which gives v = g + 35.\n4. Substitute g = p + 3 to v, which gives v = p + 38.\n5. Substitute p = l + 1 to v, which gives v = l + 39.\n6. Substitute l = 3 to v, which gives v = 42.\n\nThus, the final answer is v = \\boxed{42}.",
"index": 6368,
"question": "Suppose a collection of variables is related by the following definitions: x = j + 1; j = e + 3; r = k + 19; l = 3; b = x + 5; w = r + 1; p = l + 1; g = p + 3; k = g + 11; a = l + 19; v = w + 4; e = a + 13; s = b + 15. Given that l = 3, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 10", "s": "n + 7", "h": "s + 17", "g": "h + 20", "b": "g + 3", "w": "b + 16", "p": "d + 5", "z": "p + 8", "t": "z + 12", "m": "t + 12", "u": "m + 13", "q": "u + 7", "d": 8}, "premises": {"d": 8}, "target": "w"}, "answer": {"steps": [["b", "g + 3", "g + 19"], ["g", "h + 20", "h + 39"], ["h", "s + 17", "s + 56"], ["s", "n + 7", "n + 63"], ["n", "d + 10", "d + 73"], ["d", 8, "81"]], "target_var_name": "w", "target_value": 81, "value_dict": {"d": 8}, "is_reverse": true}} | 6,369 | 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 = u + 7; w = b + 16; t = z + 12; g = h + 20; n = d + 10; b = g + 3; d = 8; s = n + 7; m = t + 12; h = s + 17; z = p + 8; p = d + 5; u = m + 13. If d = 8, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 3 to w, which gives w = g + 19.\n2. Substitute g = h + 20 to w, which gives w = h + 39.\n3. Substitute h = s + 17 to w, which gives w = s + 56.\n4. Substitute s = n + 7 to w, which gives w = n + 63.\n5. Substitute n = d + 10 to w, which gives w = d + 73.\n6. Substitute d = 8 to w, which gives w = 81.\n\nThus, the final answer is w = \\boxed{81}.",
"index": 6369,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = u + 7; w = b + 16; t = z + 12; g = h + 20; n = d + 10; b = g + 3; d = 8; s = n + 7; m = t + 12; h = s + 17; z = p + 8; p = d + 5; u = m + 13. If d = 8, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 4", "n": "d + 19", "g": "n + 4", "i": "g + 16", "b": "i + 2", "h": "b + 17", "c": "s + 3", "o": "c + 15", "q": "o + 20", "j": "q + 16", "z": "j + 19", "r": "z + 11", "s": 20}, "premises": {"s": 20}, "target": "h"}, "answer": {"steps": [["b", "i + 2", "i + 19"], ["i", "g + 16", "g + 35"], ["g", "n + 4", "n + 39"], ["n", "d + 19", "d + 58"], ["d", "s + 4", "s + 62"], ["s", 20, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"s": 20}, "is_reverse": true}} | 6,370 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = s + 4; s = 20; q = o + 20; r = z + 11; o = c + 15; b = i + 2; i = g + 16; n = d + 19; g = n + 4; c = s + 3; z = j + 19; j = q + 16; h = b + 17. Given that s = 20, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 2 to h, which gives h = i + 19.\n2. Substitute i = g + 16 to h, which gives h = g + 35.\n3. Substitute g = n + 4 to h, which gives h = n + 39.\n4. Substitute n = d + 19 to h, which gives h = d + 58.\n5. Substitute d = s + 4 to h, which gives h = s + 62.\n6. Substitute s = 20 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 6370,
"question": "Suppose a collection of variables is related by the following definitions: d = s + 4; s = 20; q = o + 20; r = z + 11; o = c + 15; b = i + 2; i = g + 16; n = d + 19; g = n + 4; c = s + 3; z = j + 19; j = q + 16; h = b + 17. Given that s = 20, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"j": "r + 7", "b": "j + 11", "v": "b + 1", "p": "v + 6", "t": "p + 12", "h": "t + 12", "z": "r + 2", "w": "z + 18", "y": "w + 14", "m": "y + 4", "s": "m + 1", "o": "s + 20", "r": 18}, "premises": {"r": 18}, "target": "h"}, "answer": {"steps": [["t", "p + 12", "p + 24"], ["p", "v + 6", "v + 30"], ["v", "b + 1", "b + 31"], ["b", "j + 11", "j + 42"], ["j", "r + 7", "r + 49"], ["r", 18, "67"]], "target_var_name": "h", "target_value": 67, "value_dict": {"r": 18}, "is_reverse": true}} | 6,371 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 2; s = m + 1; p = v + 6; h = t + 12; w = z + 18; m = y + 4; j = r + 7; o = s + 20; v = b + 1; b = j + 11; r = 18; t = p + 12; y = w + 14. If r = 18, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 12 to h, which gives h = p + 24.\n2. Substitute p = v + 6 to h, which gives h = v + 30.\n3. Substitute v = b + 1 to h, which gives h = b + 31.\n4. Substitute b = j + 11 to h, which gives h = j + 42.\n5. Substitute j = r + 7 to h, which gives h = r + 49.\n6. Substitute r = 18 to h, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 6371,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 2; s = m + 1; p = v + 6; h = t + 12; w = z + 18; m = y + 4; j = r + 7; o = s + 20; v = b + 1; b = j + 11; r = 18; t = p + 12; y = w + 14. If r = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 16", "b": "d + 12", "f": "b + 11", "p": "f + 15", "v": "p + 9", "r": "v + 16", "w": "s + 16", "g": "w + 6", "c": "g + 1", "a": "c + 17", "h": "a + 9", "x": "h + 5", "s": 6}, "premises": {"s": 6}, "target": "r"}, "answer": {"steps": [["v", "p + 9", "p + 25"], ["p", "f + 15", "f + 40"], ["f", "b + 11", "b + 51"], ["b", "d + 12", "d + 63"], ["d", "s + 16", "s + 79"], ["s", 6, "85"]], "target_var_name": "r", "target_value": 85, "value_dict": {"s": 6}, "is_reverse": true}} | 6,372 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = h + 5; s = 6; h = a + 9; c = g + 1; v = p + 9; f = b + 11; g = w + 6; d = s + 16; p = f + 15; a = c + 17; r = v + 16; b = d + 12; w = s + 16. Given that s = 6, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 9 to r, which gives r = p + 25.\n2. Substitute p = f + 15 to r, which gives r = f + 40.\n3. Substitute f = b + 11 to r, which gives r = b + 51.\n4. Substitute b = d + 12 to r, which gives r = d + 63.\n5. Substitute d = s + 16 to r, which gives r = s + 79.\n6. Substitute s = 6 to r, which gives r = 85.\n\nThus, the final answer is r = \\boxed{85}.",
"index": 6372,
"question": "Suppose a collection of variables is related by the following definitions: x = h + 5; s = 6; h = a + 9; c = g + 1; v = p + 9; f = b + 11; g = w + 6; d = s + 16; p = f + 15; a = c + 17; r = v + 16; b = d + 12; w = s + 16. Given that s = 6, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 9", "u": "s + 12", "z": "u + 16", "t": "z + 1", "p": "t + 15", "d": "p + 3", "o": "n + 3", "w": "o + 15", "c": "w + 18", "b": "c + 9", "l": "b + 1", "e": "l + 3", "n": 19}, "premises": {"n": 19}, "target": "d"}, "answer": {"steps": [["p", "t + 15", "t + 18"], ["t", "z + 1", "z + 19"], ["z", "u + 16", "u + 35"], ["u", "s + 12", "s + 47"], ["s", "n + 9", "n + 56"], ["n", 19, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"n": 19}, "is_reverse": true}} | 6,373 | 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 = t + 15; t = z + 1; w = o + 15; z = u + 16; u = s + 12; n = 19; s = n + 9; l = b + 1; o = n + 3; b = c + 9; e = l + 3; d = p + 3; c = w + 18. If n = 19, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = t + 15 to d, which gives d = t + 18.\n2. Substitute t = z + 1 to d, which gives d = z + 19.\n3. Substitute z = u + 16 to d, which gives d = u + 35.\n4. Substitute u = s + 12 to d, which gives d = s + 47.\n5. Substitute s = n + 9 to d, which gives d = n + 56.\n6. Substitute n = 19 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 6373,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 15; t = z + 1; w = o + 15; z = u + 16; u = s + 12; n = 19; s = n + 9; l = b + 1; o = n + 3; b = c + 9; e = l + 3; d = p + 3; c = w + 18. If n = 19, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 1", "s": "a + 12", "e": "s + 7", "b": "e + 4", "k": "b + 15", "x": "k + 9", "m": "i + 12", "q": "m + 4", "t": "q + 13", "w": "t + 9", "f": "w + 15", "r": "f + 19", "i": 15}, "premises": {"i": 15}, "target": "x"}, "answer": {"steps": [["k", "b + 15", "b + 24"], ["b", "e + 4", "e + 28"], ["e", "s + 7", "s + 35"], ["s", "a + 12", "a + 47"], ["a", "i + 1", "i + 48"], ["i", 15, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"i": 15}, "is_reverse": true}} | 6,374 | 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 = s + 7; q = m + 4; x = k + 9; m = i + 12; a = i + 1; t = q + 13; k = b + 15; b = e + 4; w = t + 9; f = w + 15; s = a + 12; i = 15; r = f + 19. If i = 15, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 15 to x, which gives x = b + 24.\n2. Substitute b = e + 4 to x, which gives x = e + 28.\n3. Substitute e = s + 7 to x, which gives x = s + 35.\n4. Substitute s = a + 12 to x, which gives x = a + 47.\n5. Substitute a = i + 1 to x, which gives x = i + 48.\n6. Substitute i = 15 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 6374,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = s + 7; q = m + 4; x = k + 9; m = i + 12; a = i + 1; t = q + 13; k = b + 15; b = e + 4; w = t + 9; f = w + 15; s = a + 12; i = 15; r = f + 19. If i = 15, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"b": "l + 2", "x": "b + 3", "e": "x + 7", "f": "e + 4", "q": "f + 15", "a": "q + 13", "i": "l + 9", "g": "i + 17", "v": "g + 17", "s": "v + 19", "n": "s + 9", "o": "n + 5", "l": 6}, "premises": {"l": 6}, "target": "a"}, "answer": {"steps": [["q", "f + 15", "f + 28"], ["f", "e + 4", "e + 32"], ["e", "x + 7", "x + 39"], ["x", "b + 3", "b + 42"], ["b", "l + 2", "l + 44"], ["l", 6, "50"]], "target_var_name": "a", "target_value": 50, "value_dict": {"l": 6}, "is_reverse": true}} | 6,375 | 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 = g + 17; n = s + 9; e = x + 7; a = q + 13; o = n + 5; b = l + 2; g = i + 17; i = l + 9; x = b + 3; s = v + 19; q = f + 15; f = e + 4; l = 6. If l = 6, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 15 to a, which gives a = f + 28.\n2. Substitute f = e + 4 to a, which gives a = e + 32.\n3. Substitute e = x + 7 to a, which gives a = x + 39.\n4. Substitute x = b + 3 to a, which gives a = b + 42.\n5. Substitute b = l + 2 to a, which gives a = l + 44.\n6. Substitute l = 6 to a, which gives a = 50.\n\nThus, the final answer is a = \\boxed{50}.",
"index": 6375,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = g + 17; n = s + 9; e = x + 7; a = q + 13; o = n + 5; b = l + 2; g = i + 17; i = l + 9; x = b + 3; s = v + 19; q = f + 15; f = e + 4; l = 6. If l = 6, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 11", "p": "d + 6", "r": "p + 13", "e": "r + 5", "g": "e + 15", "c": "g + 13", "q": "y + 17", "s": "q + 18", "t": "s + 19", "o": "t + 12", "z": "o + 11", "k": "z + 20", "y": 7}, "premises": {"y": 7}, "target": "c"}, "answer": {"steps": [["g", "e + 15", "e + 28"], ["e", "r + 5", "r + 33"], ["r", "p + 13", "p + 46"], ["p", "d + 6", "d + 52"], ["d", "y + 11", "y + 63"], ["y", 7, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"y": 7}, "is_reverse": true}} | 6,376 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = y + 11; p = d + 6; q = y + 17; c = g + 13; y = 7; r = p + 13; z = o + 11; t = s + 19; k = z + 20; g = e + 15; o = t + 12; s = q + 18; e = r + 5. If y = 7, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 15 to c, which gives c = e + 28.\n2. Substitute e = r + 5 to c, which gives c = r + 33.\n3. Substitute r = p + 13 to c, which gives c = p + 46.\n4. Substitute p = d + 6 to c, which gives c = d + 52.\n5. Substitute d = y + 11 to c, which gives c = y + 63.\n6. Substitute y = 7 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 6376,
"question": "Consider a system of variables where each variable is defined as follows: d = y + 11; p = d + 6; q = y + 17; c = g + 13; y = 7; r = p + 13; z = o + 11; t = s + 19; k = z + 20; g = e + 15; o = t + 12; s = q + 18; e = r + 5. If y = 7, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 9", "x": "f + 15", "d": "x + 10", "y": "d + 9", "n": "y + 5", "b": "n + 6", "v": "p + 6", "t": "v + 13", "e": "t + 12", "r": "e + 13", "a": "r + 2", "h": "a + 7", "p": 18}, "premises": {"p": 18}, "target": "b"}, "answer": {"steps": [["n", "y + 5", "y + 11"], ["y", "d + 9", "d + 20"], ["d", "x + 10", "x + 30"], ["x", "f + 15", "f + 45"], ["f", "p + 9", "p + 54"], ["p", 18, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"p": 18}, "is_reverse": true}} | 6,377 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = f + 15; h = a + 7; p = 18; v = p + 6; a = r + 2; y = d + 9; e = t + 12; f = p + 9; t = v + 13; d = x + 10; r = e + 13; b = n + 6; n = y + 5. Given that p = 18, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 5 to b, which gives b = y + 11.\n2. Substitute y = d + 9 to b, which gives b = d + 20.\n3. Substitute d = x + 10 to b, which gives b = x + 30.\n4. Substitute x = f + 15 to b, which gives b = f + 45.\n5. Substitute f = p + 9 to b, which gives b = p + 54.\n6. Substitute p = 18 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 6377,
"question": "Suppose a collection of variables is related by the following definitions: x = f + 15; h = a + 7; p = 18; v = p + 6; a = r + 2; y = d + 9; e = t + 12; f = p + 9; t = v + 13; d = x + 10; r = e + 13; b = n + 6; n = y + 5. Given that p = 18, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 9", "l": "u + 7", "o": "l + 13", "w": "o + 18", "y": "w + 1", "e": "y + 9", "b": "r + 2", "f": "b + 17", "q": "f + 1", "n": "q + 8", "t": "n + 2", "m": "t + 6", "r": 4}, "premises": {"r": 4}, "target": "e"}, "answer": {"steps": [["y", "w + 1", "w + 10"], ["w", "o + 18", "o + 28"], ["o", "l + 13", "l + 41"], ["l", "u + 7", "u + 48"], ["u", "r + 9", "r + 57"], ["r", 4, "61"]], "target_var_name": "e", "target_value": 61, "value_dict": {"r": 4}, "is_reverse": true}} | 6,378 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = y + 9; q = f + 1; o = l + 13; n = q + 8; r = 4; y = w + 1; f = b + 17; b = r + 2; l = u + 7; w = o + 18; t = n + 2; m = t + 6; u = r + 9. Given that r = 4, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 1 to e, which gives e = w + 10.\n2. Substitute w = o + 18 to e, which gives e = o + 28.\n3. Substitute o = l + 13 to e, which gives e = l + 41.\n4. Substitute l = u + 7 to e, which gives e = u + 48.\n5. Substitute u = r + 9 to e, which gives e = r + 57.\n6. Substitute r = 4 to e, which gives e = 61.\n\nThus, the final answer is e = \\boxed{61}.",
"index": 6378,
"question": "Suppose a collection of variables is related by the following definitions: e = y + 9; q = f + 1; o = l + 13; n = q + 8; r = 4; y = w + 1; f = b + 17; b = r + 2; l = u + 7; w = o + 18; t = n + 2; m = t + 6; u = r + 9. Given that r = 4, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 13", "y": "g + 1", "p": "y + 18", "e": "p + 6", "u": "e + 17", "o": "u + 2", "f": "t + 4", "k": "f + 8", "s": "k + 9", "n": "s + 8", "i": "n + 9", "c": "i + 11", "t": 13}, "premises": {"t": 13}, "target": "o"}, "answer": {"steps": [["u", "e + 17", "e + 19"], ["e", "p + 6", "p + 25"], ["p", "y + 18", "y + 43"], ["y", "g + 1", "g + 44"], ["g", "t + 13", "t + 57"], ["t", 13, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"t": 13}, "is_reverse": true}} | 6,379 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = p + 6; y = g + 1; k = f + 8; o = u + 2; p = y + 18; u = e + 17; n = s + 8; i = n + 9; f = t + 4; s = k + 9; g = t + 13; t = 13; c = i + 11. If t = 13, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 17 to o, which gives o = e + 19.\n2. Substitute e = p + 6 to o, which gives o = p + 25.\n3. Substitute p = y + 18 to o, which gives o = y + 43.\n4. Substitute y = g + 1 to o, which gives o = g + 44.\n5. Substitute g = t + 13 to o, which gives o = t + 57.\n6. Substitute t = 13 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 6379,
"question": "Consider a system of variables where each variable is defined as follows: e = p + 6; y = g + 1; k = f + 8; o = u + 2; p = y + 18; u = e + 17; n = s + 8; i = n + 9; f = t + 4; s = k + 9; g = t + 13; t = 13; c = i + 11. If t = 13, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 3", "m": "h + 5", "v": "m + 19", "p": "v + 2", "i": "p + 14", "c": "i + 19", "g": "e + 15", "q": "g + 4", "u": "q + 5", "d": "u + 7", "f": "d + 14", "b": "f + 7", "e": 2}, "premises": {"e": 2}, "target": "c"}, "answer": {"steps": [["i", "p + 14", "p + 33"], ["p", "v + 2", "v + 35"], ["v", "m + 19", "m + 54"], ["m", "h + 5", "h + 59"], ["h", "e + 3", "e + 62"], ["e", 2, "64"]], "target_var_name": "c", "target_value": 64, "value_dict": {"e": 2}, "is_reverse": true}} | 6,380 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = i + 19; b = f + 7; e = 2; f = d + 14; d = u + 7; u = q + 5; q = g + 4; p = v + 2; i = p + 14; h = e + 3; v = m + 19; m = h + 5; g = e + 15. Given that e = 2, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 14 to c, which gives c = p + 33.\n2. Substitute p = v + 2 to c, which gives c = v + 35.\n3. Substitute v = m + 19 to c, which gives c = m + 54.\n4. Substitute m = h + 5 to c, which gives c = h + 59.\n5. Substitute h = e + 3 to c, which gives c = e + 62.\n6. Substitute e = 2 to c, which gives c = 64.\n\nThus, the final answer is c = \\boxed{64}.",
"index": 6380,
"question": "Suppose a collection of variables is related by the following definitions: c = i + 19; b = f + 7; e = 2; f = d + 14; d = u + 7; u = q + 5; q = g + 4; p = v + 2; i = p + 14; h = e + 3; v = m + 19; m = h + 5; g = e + 15. Given that e = 2, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 4", "p": "v + 7", "m": "p + 6", "a": "m + 7", "c": "a + 8", "r": "c + 16", "f": "q + 15", "b": "f + 2", "s": "b + 13", "x": "s + 12", "e": "x + 7", "j": "e + 10", "q": 1}, "premises": {"q": 1}, "target": "r"}, "answer": {"steps": [["c", "a + 8", "a + 24"], ["a", "m + 7", "m + 31"], ["m", "p + 6", "p + 37"], ["p", "v + 7", "v + 44"], ["v", "q + 4", "q + 48"], ["q", 1, "49"]], "target_var_name": "r", "target_value": 49, "value_dict": {"q": 1}, "is_reverse": true}} | 6,381 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = x + 7; a = m + 7; b = f + 2; j = e + 10; v = q + 4; q = 1; x = s + 12; p = v + 7; f = q + 15; s = b + 13; r = c + 16; c = a + 8; m = p + 6. If q = 1, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 8 to r, which gives r = a + 24.\n2. Substitute a = m + 7 to r, which gives r = m + 31.\n3. Substitute m = p + 6 to r, which gives r = p + 37.\n4. Substitute p = v + 7 to r, which gives r = v + 44.\n5. Substitute v = q + 4 to r, which gives r = q + 48.\n6. Substitute q = 1 to r, which gives r = 49.\n\nThus, the final answer is r = \\boxed{49}.",
"index": 6381,
"question": "Consider a system of variables where each variable is defined as follows: e = x + 7; a = m + 7; b = f + 2; j = e + 10; v = q + 4; q = 1; x = s + 12; p = v + 7; f = q + 15; s = b + 13; r = c + 16; c = a + 8; m = p + 6. If q = 1, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 12", "r": "x + 6", "n": "r + 14", "c": "n + 3", "q": "c + 2", "p": "q + 20", "f": "e + 18", "m": "f + 4", "j": "m + 12", "y": "j + 10", "t": "y + 8", "s": "t + 11", "e": 19}, "premises": {"e": 19}, "target": "p"}, "answer": {"steps": [["q", "c + 2", "c + 22"], ["c", "n + 3", "n + 25"], ["n", "r + 14", "r + 39"], ["r", "x + 6", "x + 45"], ["x", "e + 12", "e + 57"], ["e", 19, "76"]], "target_var_name": "p", "target_value": 76, "value_dict": {"e": 19}, "is_reverse": true}} | 6,382 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 8; y = j + 10; f = e + 18; e = 19; r = x + 6; m = f + 4; x = e + 12; p = q + 20; q = c + 2; n = r + 14; c = n + 3; s = t + 11; j = m + 12. If e = 19, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 2 to p, which gives p = c + 22.\n2. Substitute c = n + 3 to p, which gives p = n + 25.\n3. Substitute n = r + 14 to p, which gives p = r + 39.\n4. Substitute r = x + 6 to p, which gives p = x + 45.\n5. Substitute x = e + 12 to p, which gives p = e + 57.\n6. Substitute e = 19 to p, which gives p = 76.\n\nThus, the final answer is p = \\boxed{76}.",
"index": 6382,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 8; y = j + 10; f = e + 18; e = 19; r = x + 6; m = f + 4; x = e + 12; p = q + 20; q = c + 2; n = r + 14; c = n + 3; s = t + 11; j = m + 12. If e = 19, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 6", "t": "k + 20", "u": "t + 11", "o": "u + 11", "x": "o + 12", "y": "x + 9", "v": "r + 15", "m": "v + 12", "a": "m + 16", "p": "a + 10", "s": "p + 6", "i": "s + 16", "r": 13}, "premises": {"r": 13}, "target": "y"}, "answer": {"steps": [["x", "o + 12", "o + 21"], ["o", "u + 11", "u + 32"], ["u", "t + 11", "t + 43"], ["t", "k + 20", "k + 63"], ["k", "r + 6", "r + 69"], ["r", 13, "82"]], "target_var_name": "y", "target_value": 82, "value_dict": {"r": 13}, "is_reverse": true}} | 6,383 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = s + 16; x = o + 12; k = r + 6; r = 13; t = k + 20; s = p + 6; v = r + 15; p = a + 10; m = v + 12; o = u + 11; a = m + 16; u = t + 11; y = x + 9. Given that r = 13, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 12 to y, which gives y = o + 21.\n2. Substitute o = u + 11 to y, which gives y = u + 32.\n3. Substitute u = t + 11 to y, which gives y = t + 43.\n4. Substitute t = k + 20 to y, which gives y = k + 63.\n5. Substitute k = r + 6 to y, which gives y = r + 69.\n6. Substitute r = 13 to y, which gives y = 82.\n\nThus, the final answer is y = \\boxed{82}.",
"index": 6383,
"question": "Suppose a collection of variables is related by the following definitions: i = s + 16; x = o + 12; k = r + 6; r = 13; t = k + 20; s = p + 6; v = r + 15; p = a + 10; m = v + 12; o = u + 11; a = m + 16; u = t + 11; y = x + 9. Given that r = 13, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 15", "j": "t + 14", "a": "j + 7", "p": "a + 7", "s": "p + 9", "l": "s + 13", "w": "x + 9", "o": "w + 10", "z": "o + 12", "r": "z + 15", "g": "r + 13", "n": "g + 7", "x": 11}, "premises": {"x": 11}, "target": "l"}, "answer": {"steps": [["s", "p + 9", "p + 22"], ["p", "a + 7", "a + 29"], ["a", "j + 7", "j + 36"], ["j", "t + 14", "t + 50"], ["t", "x + 15", "x + 65"], ["x", 11, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"x": 11}, "is_reverse": true}} | 6,384 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 9; j = t + 14; x = 11; r = z + 15; n = g + 7; z = o + 12; t = x + 15; a = j + 7; p = a + 7; l = s + 13; o = w + 10; g = r + 13; w = x + 9. If x = 11, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 9 to l, which gives l = p + 22.\n2. Substitute p = a + 7 to l, which gives l = a + 29.\n3. Substitute a = j + 7 to l, which gives l = j + 36.\n4. Substitute j = t + 14 to l, which gives l = t + 50.\n5. Substitute t = x + 15 to l, which gives l = x + 65.\n6. Substitute x = 11 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 6384,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 9; j = t + 14; x = 11; r = z + 15; n = g + 7; z = o + 12; t = x + 15; a = j + 7; p = a + 7; l = s + 13; o = w + 10; g = r + 13; w = x + 9. If x = 11, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 6", "w": "j + 5", "e": "w + 16", "a": "e + 5", "y": "a + 5", "q": "y + 6", "z": "k + 5", "x": "z + 9", "b": "x + 4", "s": "b + 12", "p": "s + 1", "v": "p + 14", "k": 17}, "premises": {"k": 17}, "target": "q"}, "answer": {"steps": [["y", "a + 5", "a + 11"], ["a", "e + 5", "e + 16"], ["e", "w + 16", "w + 32"], ["w", "j + 5", "j + 37"], ["j", "k + 6", "k + 43"], ["k", 17, "60"]], "target_var_name": "q", "target_value": 60, "value_dict": {"k": 17}, "is_reverse": true}} | 6,385 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = z + 9; j = k + 6; a = e + 5; p = s + 1; q = y + 6; v = p + 14; b = x + 4; k = 17; w = j + 5; s = b + 12; e = w + 16; y = a + 5; z = k + 5. Given that k = 17, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 5 to q, which gives q = a + 11.\n2. Substitute a = e + 5 to q, which gives q = e + 16.\n3. Substitute e = w + 16 to q, which gives q = w + 32.\n4. Substitute w = j + 5 to q, which gives q = j + 37.\n5. Substitute j = k + 6 to q, which gives q = k + 43.\n6. Substitute k = 17 to q, which gives q = 60.\n\nThus, the final answer is q = \\boxed{60}.",
"index": 6385,
"question": "Suppose a collection of variables is related by the following definitions: x = z + 9; j = k + 6; a = e + 5; p = s + 1; q = y + 6; v = p + 14; b = x + 4; k = 17; w = j + 5; s = b + 12; e = w + 16; y = a + 5; z = k + 5. Given that k = 17, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 15", "q": "c + 7", "d": "q + 9", "l": "d + 20", "i": "l + 15", "o": "i + 12", "x": "e + 10", "u": "x + 10", "b": "u + 7", "g": "b + 1", "k": "g + 20", "v": "k + 3", "e": 7}, "premises": {"e": 7}, "target": "o"}, "answer": {"steps": [["i", "l + 15", "l + 27"], ["l", "d + 20", "d + 47"], ["d", "q + 9", "q + 56"], ["q", "c + 7", "c + 63"], ["c", "e + 15", "e + 78"], ["e", 7, "85"]], "target_var_name": "o", "target_value": 85, "value_dict": {"e": 7}, "is_reverse": true}} | 6,386 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = q + 9; u = x + 10; k = g + 20; e = 7; v = k + 3; l = d + 20; q = c + 7; b = u + 7; c = e + 15; x = e + 10; g = b + 1; i = l + 15; o = i + 12. Given that e = 7, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 15 to o, which gives o = l + 27.\n2. Substitute l = d + 20 to o, which gives o = d + 47.\n3. Substitute d = q + 9 to o, which gives o = q + 56.\n4. Substitute q = c + 7 to o, which gives o = c + 63.\n5. Substitute c = e + 15 to o, which gives o = e + 78.\n6. Substitute e = 7 to o, which gives o = 85.\n\nThus, the final answer is o = \\boxed{85}.",
"index": 6386,
"question": "Suppose a collection of variables is related by the following definitions: d = q + 9; u = x + 10; k = g + 20; e = 7; v = k + 3; l = d + 20; q = c + 7; b = u + 7; c = e + 15; x = e + 10; g = b + 1; i = l + 15; o = i + 12. Given that e = 7, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 12", "v": "d + 7", "k": "v + 2", "a": "k + 11", "j": "a + 13", "x": "j + 15", "t": "g + 18", "b": "t + 16", "n": "b + 20", "l": "n + 6", "o": "l + 7", "e": "o + 13", "g": 12}, "premises": {"g": 12}, "target": "x"}, "answer": {"steps": [["j", "a + 13", "a + 28"], ["a", "k + 11", "k + 39"], ["k", "v + 2", "v + 41"], ["v", "d + 7", "d + 48"], ["d", "g + 12", "g + 60"], ["g", 12, "72"]], "target_var_name": "x", "target_value": 72, "value_dict": {"g": 12}, "is_reverse": true}} | 6,387 | 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 = o + 13; d = g + 12; g = 12; o = l + 7; x = j + 15; n = b + 20; b = t + 16; t = g + 18; v = d + 7; k = v + 2; l = n + 6; j = a + 13; a = k + 11. If g = 12, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 13 to x, which gives x = a + 28.\n2. Substitute a = k + 11 to x, which gives x = k + 39.\n3. Substitute k = v + 2 to x, which gives x = v + 41.\n4. Substitute v = d + 7 to x, which gives x = d + 48.\n5. Substitute d = g + 12 to x, which gives x = g + 60.\n6. Substitute g = 12 to x, which gives x = 72.\n\nThus, the final answer is x = \\boxed{72}.",
"index": 6387,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = o + 13; d = g + 12; g = 12; o = l + 7; x = j + 15; n = b + 20; b = t + 16; t = g + 18; v = d + 7; k = v + 2; l = n + 6; j = a + 13; a = k + 11. If g = 12, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"d": "c + 10", "s": "d + 1", "z": "s + 8", "m": "z + 3", "n": "m + 2", "l": "n + 2", "y": "c + 3", "e": "y + 18", "j": "e + 19", "w": "j + 1", "u": "w + 20", "k": "u + 3", "c": 5}, "premises": {"c": 5}, "target": "l"}, "answer": {"steps": [["n", "m + 2", "m + 4"], ["m", "z + 3", "z + 7"], ["z", "s + 8", "s + 15"], ["s", "d + 1", "d + 16"], ["d", "c + 10", "c + 26"], ["c", 5, "31"]], "target_var_name": "l", "target_value": 31, "value_dict": {"c": 5}, "is_reverse": true}} | 6,388 | 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 + 1; y = c + 3; z = s + 8; w = j + 1; n = m + 2; c = 5; d = c + 10; l = n + 2; m = z + 3; j = e + 19; k = u + 3; e = y + 18; u = w + 20. If c = 5, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 31,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 2 to l, which gives l = m + 4.\n2. Substitute m = z + 3 to l, which gives l = z + 7.\n3. Substitute z = s + 8 to l, which gives l = s + 15.\n4. Substitute s = d + 1 to l, which gives l = d + 16.\n5. Substitute d = c + 10 to l, which gives l = c + 26.\n6. Substitute c = 5 to l, which gives l = 31.\n\nThus, the final answer is l = \\boxed{31}.",
"index": 6388,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = d + 1; y = c + 3; z = s + 8; w = j + 1; n = m + 2; c = 5; d = c + 10; l = n + 2; m = z + 3; j = e + 19; k = u + 3; e = y + 18; u = w + 20. If c = 5, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 3", "w": "m + 16", "z": "w + 5", "a": "z + 15", "j": "a + 5", "q": "j + 5", "n": "p + 2", "r": "n + 16", "x": "r + 10", "k": "x + 4", "y": "k + 20", "c": "y + 19", "p": 6}, "premises": {"p": 6}, "target": "q"}, "answer": {"steps": [["j", "a + 5", "a + 10"], ["a", "z + 15", "z + 25"], ["z", "w + 5", "w + 30"], ["w", "m + 16", "m + 46"], ["m", "p + 3", "p + 49"], ["p", 6, "55"]], "target_var_name": "q", "target_value": 55, "value_dict": {"p": 6}, "is_reverse": true}} | 6,389 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = p + 2; q = j + 5; j = a + 5; k = x + 4; y = k + 20; z = w + 5; r = n + 16; x = r + 10; a = z + 15; p = 6; c = y + 19; m = p + 3; w = m + 16. Given that p = 6, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 5 to q, which gives q = a + 10.\n2. Substitute a = z + 15 to q, which gives q = z + 25.\n3. Substitute z = w + 5 to q, which gives q = w + 30.\n4. Substitute w = m + 16 to q, which gives q = m + 46.\n5. Substitute m = p + 3 to q, which gives q = p + 49.\n6. Substitute p = 6 to q, which gives q = 55.\n\nThus, the final answer is q = \\boxed{55}.",
"index": 6389,
"question": "Suppose a collection of variables is related by the following definitions: n = p + 2; q = j + 5; j = a + 5; k = x + 4; y = k + 20; z = w + 5; r = n + 16; x = r + 10; a = z + 15; p = 6; c = y + 19; m = p + 3; w = m + 16. Given that p = 6, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 9", "p": "h + 11", "i": "p + 9", "t": "i + 13", "r": "t + 13", "e": "r + 13", "v": "w + 6", "c": "v + 6", "s": "c + 17", "f": "s + 12", "j": "f + 10", "u": "j + 10", "w": 16}, "premises": {"w": 16}, "target": "e"}, "answer": {"steps": [["r", "t + 13", "t + 26"], ["t", "i + 13", "i + 39"], ["i", "p + 9", "p + 48"], ["p", "h + 11", "h + 59"], ["h", "w + 9", "w + 68"], ["w", 16, "84"]], "target_var_name": "e", "target_value": 84, "value_dict": {"w": 16}, "is_reverse": true}} | 6,390 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = p + 9; f = s + 12; e = r + 13; h = w + 9; j = f + 10; t = i + 13; w = 16; u = j + 10; r = t + 13; s = c + 17; c = v + 6; v = w + 6; p = h + 11. If w = 16, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 13 to e, which gives e = t + 26.\n2. Substitute t = i + 13 to e, which gives e = i + 39.\n3. Substitute i = p + 9 to e, which gives e = p + 48.\n4. Substitute p = h + 11 to e, which gives e = h + 59.\n5. Substitute h = w + 9 to e, which gives e = w + 68.\n6. Substitute w = 16 to e, which gives e = 84.\n\nThus, the final answer is e = \\boxed{84}.",
"index": 6390,
"question": "Consider a system of variables where each variable is defined as follows: i = p + 9; f = s + 12; e = r + 13; h = w + 9; j = f + 10; t = i + 13; w = 16; u = j + 10; r = t + 13; s = c + 17; c = v + 6; v = w + 6; p = h + 11. If w = 16, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"w": "t + 1", "z": "w + 6", "j": "z + 9", "q": "j + 20", "i": "q + 16", "c": "i + 18", "y": "t + 2", "b": "y + 14", "m": "b + 10", "f": "m + 17", "n": "f + 3", "u": "n + 4", "t": 17}, "premises": {"t": 17}, "target": "c"}, "answer": {"steps": [["i", "q + 16", "q + 34"], ["q", "j + 20", "j + 54"], ["j", "z + 9", "z + 63"], ["z", "w + 6", "w + 69"], ["w", "t + 1", "t + 70"], ["t", 17, "87"]], "target_var_name": "c", "target_value": 87, "value_dict": {"t": 17}, "is_reverse": true}} | 6,391 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = m + 17; m = b + 10; i = q + 16; u = n + 4; t = 17; b = y + 14; c = i + 18; q = j + 20; n = f + 3; w = t + 1; z = w + 6; y = t + 2; j = z + 9. Given that t = 17, find 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 i = q + 16 to c, which gives c = q + 34.\n2. Substitute q = j + 20 to c, which gives c = j + 54.\n3. Substitute j = z + 9 to c, which gives c = z + 63.\n4. Substitute z = w + 6 to c, which gives c = w + 69.\n5. Substitute w = t + 1 to c, which gives c = t + 70.\n6. Substitute t = 17 to c, which gives c = 87.\n\nThus, the final answer is c = \\boxed{87}.",
"index": 6391,
"question": "Suppose a collection of variables is related by the following definitions: f = m + 17; m = b + 10; i = q + 16; u = n + 4; t = 17; b = y + 14; c = i + 18; q = j + 20; n = f + 3; w = t + 1; z = w + 6; y = t + 2; j = z + 9. Given that t = 17, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"v": "s + 12", "p": "v + 4", "a": "p + 6", "o": "a + 1", "j": "o + 8", "y": "j + 3", "h": "s + 20", "n": "h + 5", "g": "n + 1", "i": "g + 12", "r": "i + 12", "c": "r + 20", "s": 6}, "premises": {"s": 6}, "target": "y"}, "answer": {"steps": [["j", "o + 8", "o + 11"], ["o", "a + 1", "a + 12"], ["a", "p + 6", "p + 18"], ["p", "v + 4", "v + 22"], ["v", "s + 12", "s + 34"], ["s", 6, "40"]], "target_var_name": "y", "target_value": 40, "value_dict": {"s": 6}, "is_reverse": true}} | 6,392 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = s + 12; j = o + 8; g = n + 1; n = h + 5; y = j + 3; r = i + 12; o = a + 1; s = 6; p = v + 4; i = g + 12; h = s + 20; c = r + 20; a = p + 6. Given that s = 6, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 8 to y, which gives y = o + 11.\n2. Substitute o = a + 1 to y, which gives y = a + 12.\n3. Substitute a = p + 6 to y, which gives y = p + 18.\n4. Substitute p = v + 4 to y, which gives y = v + 22.\n5. Substitute v = s + 12 to y, which gives y = s + 34.\n6. Substitute s = 6 to y, which gives y = 40.\n\nThus, the final answer is y = \\boxed{40}.",
"index": 6392,
"question": "Suppose a collection of variables is related by the following definitions: v = s + 12; j = o + 8; g = n + 1; n = h + 5; y = j + 3; r = i + 12; o = a + 1; s = 6; p = v + 4; i = g + 12; h = s + 20; c = r + 20; a = p + 6. Given that s = 6, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 4", "n": "k + 4", "l": "n + 16", "p": "l + 5", "c": "p + 5", "x": "c + 15", "y": "u + 5", "s": "y + 4", "f": "s + 16", "b": "f + 5", "i": "b + 2", "h": "i + 12", "u": 16}, "premises": {"u": 16}, "target": "x"}, "answer": {"steps": [["c", "p + 5", "p + 20"], ["p", "l + 5", "l + 25"], ["l", "n + 16", "n + 41"], ["n", "k + 4", "k + 45"], ["k", "u + 4", "u + 49"], ["u", 16, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"u": 16}, "is_reverse": true}} | 6,393 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 5; x = c + 15; l = n + 16; b = f + 5; p = l + 5; u = 16; h = i + 12; n = k + 4; c = p + 5; s = y + 4; k = u + 4; f = s + 16; i = b + 2. If u = 16, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 5 to x, which gives x = p + 20.\n2. Substitute p = l + 5 to x, which gives x = l + 25.\n3. Substitute l = n + 16 to x, which gives x = n + 41.\n4. Substitute n = k + 4 to x, which gives x = k + 45.\n5. Substitute k = u + 4 to x, which gives x = u + 49.\n6. Substitute u = 16 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 6393,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 5; x = c + 15; l = n + 16; b = f + 5; p = l + 5; u = 16; h = i + 12; n = k + 4; c = p + 5; s = y + 4; k = u + 4; f = s + 16; i = b + 2. If u = 16, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 9", "c": "l + 16", "u": "c + 16", "x": "u + 15", "j": "x + 8", "p": "j + 13", "y": "h + 17", "w": "y + 12", "g": "w + 12", "a": "g + 7", "f": "a + 12", "k": "f + 12", "h": 1}, "premises": {"h": 1}, "target": "p"}, "answer": {"steps": [["j", "x + 8", "x + 21"], ["x", "u + 15", "u + 36"], ["u", "c + 16", "c + 52"], ["c", "l + 16", "l + 68"], ["l", "h + 9", "h + 77"], ["h", 1, "78"]], "target_var_name": "p", "target_value": 78, "value_dict": {"h": 1}, "is_reverse": true}} | 6,394 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = c + 16; a = g + 7; f = a + 12; w = y + 12; h = 1; g = w + 12; c = l + 16; y = h + 17; x = u + 15; k = f + 12; p = j + 13; l = h + 9; j = x + 8. Given that h = 1, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 8 to p, which gives p = x + 21.\n2. Substitute x = u + 15 to p, which gives p = u + 36.\n3. Substitute u = c + 16 to p, which gives p = c + 52.\n4. Substitute c = l + 16 to p, which gives p = l + 68.\n5. Substitute l = h + 9 to p, which gives p = h + 77.\n6. Substitute h = 1 to p, which gives p = 78.\n\nThus, the final answer is p = \\boxed{78}.",
"index": 6394,
"question": "Suppose a collection of variables is related by the following definitions: u = c + 16; a = g + 7; f = a + 12; w = y + 12; h = 1; g = w + 12; c = l + 16; y = h + 17; x = u + 15; k = f + 12; p = j + 13; l = h + 9; j = x + 8. Given that h = 1, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"r": "l + 9", "c": "r + 12", "t": "c + 4", "z": "t + 4", "x": "z + 11", "y": "x + 20", "p": "l + 18", "w": "p + 3", "d": "w + 4", "m": "d + 12", "v": "m + 13", "u": "v + 14", "l": 12}, "premises": {"l": 12}, "target": "y"}, "answer": {"steps": [["x", "z + 11", "z + 31"], ["z", "t + 4", "t + 35"], ["t", "c + 4", "c + 39"], ["c", "r + 12", "r + 51"], ["r", "l + 9", "l + 60"], ["l", 12, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"l": 12}, "is_reverse": true}} | 6,395 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = p + 3; p = l + 18; t = c + 4; y = x + 20; x = z + 11; z = t + 4; r = l + 9; v = m + 13; u = v + 14; m = d + 12; c = r + 12; l = 12; d = w + 4. If l = 12, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 11 to y, which gives y = z + 31.\n2. Substitute z = t + 4 to y, which gives y = t + 35.\n3. Substitute t = c + 4 to y, which gives y = c + 39.\n4. Substitute c = r + 12 to y, which gives y = r + 51.\n5. Substitute r = l + 9 to y, which gives y = l + 60.\n6. Substitute l = 12 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 6395,
"question": "Consider a system of variables where each variable is defined as follows: w = p + 3; p = l + 18; t = c + 4; y = x + 20; x = z + 11; z = t + 4; r = l + 9; v = m + 13; u = v + 14; m = d + 12; c = r + 12; l = 12; d = w + 4. If l = 12, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 4", "a": "r + 12", "q": "a + 3", "v": "q + 18", "b": "v + 11", "l": "b + 16", "j": "w + 2", "y": "j + 2", "h": "y + 9", "t": "h + 6", "o": "t + 19", "u": "o + 14", "w": 20}, "premises": {"w": 20}, "target": "l"}, "answer": {"steps": [["b", "v + 11", "v + 27"], ["v", "q + 18", "q + 45"], ["q", "a + 3", "a + 48"], ["a", "r + 12", "r + 60"], ["r", "w + 4", "w + 64"], ["w", 20, "84"]], "target_var_name": "l", "target_value": 84, "value_dict": {"w": 20}, "is_reverse": true}} | 6,396 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = y + 9; y = j + 2; o = t + 19; b = v + 11; j = w + 2; r = w + 4; l = b + 16; a = r + 12; v = q + 18; q = a + 3; w = 20; t = h + 6; u = o + 14. Given that w = 20, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 11 to l, which gives l = v + 27.\n2. Substitute v = q + 18 to l, which gives l = q + 45.\n3. Substitute q = a + 3 to l, which gives l = a + 48.\n4. Substitute a = r + 12 to l, which gives l = r + 60.\n5. Substitute r = w + 4 to l, which gives l = w + 64.\n6. Substitute w = 20 to l, which gives l = 84.\n\nThus, the final answer is l = \\boxed{84}.",
"index": 6396,
"question": "Suppose a collection of variables is related by the following definitions: h = y + 9; y = j + 2; o = t + 19; b = v + 11; j = w + 2; r = w + 4; l = b + 16; a = r + 12; v = q + 18; q = a + 3; w = 20; t = h + 6; u = o + 14. Given that w = 20, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 12", "p": "j + 20", "u": "p + 11", "q": "u + 20", "i": "q + 6", "s": "i + 1", "e": "x + 10", "h": "e + 12", "w": "h + 6", "y": "w + 18", "m": "y + 5", "r": "m + 2", "x": 16}, "premises": {"x": 16}, "target": "s"}, "answer": {"steps": [["i", "q + 6", "q + 7"], ["q", "u + 20", "u + 27"], ["u", "p + 11", "p + 38"], ["p", "j + 20", "j + 58"], ["j", "x + 12", "x + 70"], ["x", 16, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"x": 16}, "is_reverse": true}} | 6,397 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 12; x = 16; y = w + 18; q = u + 20; u = p + 11; e = x + 10; r = m + 2; w = h + 6; s = i + 1; m = y + 5; h = e + 12; p = j + 20; i = q + 6. If x = 16, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 6 to s, which gives s = q + 7.\n2. Substitute q = u + 20 to s, which gives s = u + 27.\n3. Substitute u = p + 11 to s, which gives s = p + 38.\n4. Substitute p = j + 20 to s, which gives s = j + 58.\n5. Substitute j = x + 12 to s, which gives s = x + 70.\n6. Substitute x = 16 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 6397,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 12; x = 16; y = w + 18; q = u + 20; u = p + 11; e = x + 10; r = m + 2; w = h + 6; s = i + 1; m = y + 5; h = e + 12; p = j + 20; i = q + 6. If x = 16, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"m": "y + 8", "b": "m + 6", "a": "b + 19", "w": "a + 3", "c": "w + 5", "e": "c + 19", "v": "y + 18", "j": "v + 18", "g": "j + 12", "z": "g + 11", "k": "z + 14", "t": "k + 9", "y": 16}, "premises": {"y": 16}, "target": "e"}, "answer": {"steps": [["c", "w + 5", "w + 24"], ["w", "a + 3", "a + 27"], ["a", "b + 19", "b + 46"], ["b", "m + 6", "m + 52"], ["m", "y + 8", "y + 60"], ["y", 16, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"y": 16}, "is_reverse": true}} | 6,398 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = b + 19; j = v + 18; e = c + 19; y = 16; c = w + 5; w = a + 3; v = y + 18; t = k + 9; m = y + 8; z = g + 11; b = m + 6; g = j + 12; k = z + 14. If y = 16, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 5 to e, which gives e = w + 24.\n2. Substitute w = a + 3 to e, which gives e = a + 27.\n3. Substitute a = b + 19 to e, which gives e = b + 46.\n4. Substitute b = m + 6 to e, which gives e = m + 52.\n5. Substitute m = y + 8 to e, which gives e = y + 60.\n6. Substitute y = 16 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 6398,
"question": "Consider a system of variables where each variable is defined as follows: a = b + 19; j = v + 18; e = c + 19; y = 16; c = w + 5; w = a + 3; v = y + 18; t = k + 9; m = y + 8; z = g + 11; b = m + 6; g = j + 12; k = z + 14. If y = 16, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"y": "t + 7", "g": "y + 4", "b": "g + 4", "w": "b + 15", "l": "w + 17", "e": "l + 9", "f": "t + 12", "h": "f + 14", "p": "h + 5", "s": "p + 17", "x": "s + 16", "r": "x + 14", "t": 20}, "premises": {"t": 20}, "target": "e"}, "answer": {"steps": [["l", "w + 17", "w + 26"], ["w", "b + 15", "b + 41"], ["b", "g + 4", "g + 45"], ["g", "y + 4", "y + 49"], ["y", "t + 7", "t + 56"], ["t", 20, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"t": 20}, "is_reverse": true}} | 6,399 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = t + 7; t = 20; r = x + 14; p = h + 5; s = p + 17; f = t + 12; g = y + 4; l = w + 17; b = g + 4; w = b + 15; x = s + 16; e = l + 9; h = f + 14. If t = 20, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 17 to e, which gives e = w + 26.\n2. Substitute w = b + 15 to e, which gives e = b + 41.\n3. Substitute b = g + 4 to e, which gives e = g + 45.\n4. Substitute g = y + 4 to e, which gives e = y + 49.\n5. Substitute y = t + 7 to e, which gives e = t + 56.\n6. Substitute t = 20 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 6399,
"question": "Consider a system of variables where each variable is defined as follows: y = t + 7; t = 20; r = x + 14; p = h + 5; s = p + 17; f = t + 12; g = y + 4; l = w + 17; b = g + 4; w = b + 15; x = s + 16; e = l + 9; h = f + 14. If t = 20, determine the value of e.",
"split": "train"
} |
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