meta string | id int64 | problem_solution_idx int64 | world_id string | data_source string | prompt list | ability string | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"x": "h + 7", "f": "x + 8", "k": "f + 20", "c": "k + 5", "d": "c + 2", "j": "d + 9", "z": "h + 19", "i": "z + 18", "e": "i + 18", "a": "e + 13", "r": "a + 20", "s": "r + 10", "h": 17}, "premises": {"h": 17}, "target": "j"}, "answer": {"steps": [["d", "c + 2", "c + 11"], ["c", "k + 5", "k + 16"], ["k", "f + 20", "f + 36"], ["f", "x + 8", "x + 44"], ["x", "h + 7", "h + 51"], ["h", 17, "68"]], "target_var_name": "j", "target_value": 68, "value_dict": {"h": 17}, "is_reverse": true}} | 300 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = h + 7; z = h + 19; d = c + 2; i = z + 18; a = e + 13; h = 17; c = k + 5; k = f + 20; s = r + 10; r = a + 20; e = i + 18; j = d + 9; f = x + 8. Given that h = 17, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 2 to j, which gives j = c + 11.\n2. Substitute c = k + 5 to j, which gives j = k + 16.\n3. Substitute k = f + 20 to j, which gives j = f + 36.\n4. Substitute f = x + 8 to j, which gives j = x + 44.\n5. Substitute x = h + 7 to j, which gives j = h + 51.\n6. Substitute h = 17 to j, which gives j = 68.\n\nThus, the final answer is j = \\boxed{68}.",
"index": 300,
"question": "Suppose a collection of variables is related by the following definitions: x = h + 7; z = h + 19; d = c + 2; i = z + 18; a = e + 13; h = 17; c = k + 5; k = f + 20; s = r + 10; r = a + 20; e = i + 18; j = d + 9; f = x + 8. Given that h = 17, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 3", "i": "n + 7", "j": "i + 5", "l": "j + 10", "f": "l + 12", "p": "f + 4", "z": "c + 1", "w": "z + 15", "k": "w + 9", "u": "k + 4", "y": "u + 16", "o": "y + 11", "c": 15}, "premises": {"c": 15}, "target": "p"}, "answer": {"steps": [["f", "l + 12", "l + 16"], ["l", "j + 10", "j + 26"], ["j", "i + 5", "i + 31"], ["i", "n + 7", "n + 38"], ["n", "c + 3", "c + 41"], ["c", 15, "56"]], "target_var_name": "p", "target_value": 56, "value_dict": {"c": 15}, "is_reverse": true}} | 301 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 4; z = c + 1; k = w + 9; y = u + 16; f = l + 12; n = c + 3; w = z + 15; u = k + 4; o = y + 11; c = 15; l = j + 10; i = n + 7; j = i + 5. If c = 15, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 12 to p, which gives p = l + 16.\n2. Substitute l = j + 10 to p, which gives p = j + 26.\n3. Substitute j = i + 5 to p, which gives p = i + 31.\n4. Substitute i = n + 7 to p, which gives p = n + 38.\n5. Substitute n = c + 3 to p, which gives p = c + 41.\n6. Substitute c = 15 to p, which gives p = 56.\n\nThus, the final answer is p = \\boxed{56}.",
"index": 301,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 4; z = c + 1; k = w + 9; y = u + 16; f = l + 12; n = c + 3; w = z + 15; u = k + 4; o = y + 11; c = 15; l = j + 10; i = n + 7; j = i + 5. If c = 15, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 16", "w": "s + 10", "z": "w + 19", "q": "z + 14", "p": "q + 6", "l": "p + 14", "k": "f + 10", "e": "k + 6", "x": "e + 19", "t": "x + 19", "a": "t + 14", "c": "a + 15", "f": 1}, "premises": {"f": 1}, "target": "l"}, "answer": {"steps": [["s", "f + 16", 17], ["w", "s + 10", 27], ["z", "w + 19", 46], ["q", "z + 14", 60], ["p", "q + 6", 66], ["l", "p + 14", 80]], "target_var_name": "l", "target_value": 80, "value_dict": {"f": 1, "s": 17, "w": 27, "z": 46, "q": 60, "p": 66, "l": 80}, "is_reverse": false}} | 302 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = a + 15; e = k + 6; f = 1; x = e + 19; p = q + 6; a = t + 14; k = f + 10; s = f + 16; q = z + 14; t = x + 19; z = w + 19; l = p + 14; w = s + 10. If f = 1, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = f + 16, which gives s = 17.\n2. Compute w using w = s + 10, which gives w = 27.\n3. Compute z using z = w + 19, which gives z = 46.\n4. Compute q using q = z + 14, which gives q = 60.\n5. Compute p using p = q + 6, which gives p = 66.\n6. Compute l using l = p + 14, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 302,
"question": "Consider a system of variables where each variable is defined as follows: c = a + 15; e = k + 6; f = 1; x = e + 19; p = q + 6; a = t + 14; k = f + 10; s = f + 16; q = z + 14; t = x + 19; z = w + 19; l = p + 14; w = s + 10. If f = 1, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 6", "n": "d + 16", "o": "n + 13", "i": "o + 14", "t": "i + 2", "c": "t + 1", "m": "z + 18", "r": "m + 3", "y": "r + 5", "a": "y + 7", "x": "a + 17", "k": "x + 1", "z": 13}, "premises": {"z": 13}, "target": "c"}, "answer": {"steps": [["t", "i + 2", "i + 3"], ["i", "o + 14", "o + 17"], ["o", "n + 13", "n + 30"], ["n", "d + 16", "d + 46"], ["d", "z + 6", "z + 52"], ["z", 13, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"z": 13}, "is_reverse": true}} | 303 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = x + 1; r = m + 3; d = z + 6; y = r + 5; i = o + 14; x = a + 17; c = t + 1; z = 13; o = n + 13; a = y + 7; m = z + 18; n = d + 16; t = i + 2. If z = 13, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 2 to c, which gives c = i + 3.\n2. Substitute i = o + 14 to c, which gives c = o + 17.\n3. Substitute o = n + 13 to c, which gives c = n + 30.\n4. Substitute n = d + 16 to c, which gives c = d + 46.\n5. Substitute d = z + 6 to c, which gives c = z + 52.\n6. Substitute z = 13 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 303,
"question": "Consider a system of variables where each variable is defined as follows: k = x + 1; r = m + 3; d = z + 6; y = r + 5; i = o + 14; x = a + 17; c = t + 1; z = 13; o = n + 13; a = y + 7; m = z + 18; n = d + 16; t = i + 2. If z = 13, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "v + 14", "d": "p + 11", "m": "d + 1", "s": "m + 17", "n": "s + 16", "u": "n + 4", "q": "v + 16", "l": "q + 14", "h": "l + 5", "k": "h + 19", "i": "k + 4", "r": "i + 5", "v": 10}, "premises": {"v": 10}, "target": "u"}, "answer": {"steps": [["n", "s + 16", "s + 20"], ["s", "m + 17", "m + 37"], ["m", "d + 1", "d + 38"], ["d", "p + 11", "p + 49"], ["p", "v + 14", "v + 63"], ["v", 10, "73"]], "target_var_name": "u", "target_value": 73, "value_dict": {"v": 10}, "is_reverse": true}} | 304 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = h + 19; d = p + 11; q = v + 16; h = l + 5; s = m + 17; v = 10; l = q + 14; p = v + 14; u = n + 4; i = k + 4; n = s + 16; m = d + 1; r = i + 5. If v = 10, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 16 to u, which gives u = s + 20.\n2. Substitute s = m + 17 to u, which gives u = m + 37.\n3. Substitute m = d + 1 to u, which gives u = d + 38.\n4. Substitute d = p + 11 to u, which gives u = p + 49.\n5. Substitute p = v + 14 to u, which gives u = v + 63.\n6. Substitute v = 10 to u, which gives u = 73.\n\nThus, the final answer is u = \\boxed{73}.",
"index": 304,
"question": "Consider a system of variables where each variable is defined as follows: k = h + 19; d = p + 11; q = v + 16; h = l + 5; s = m + 17; v = 10; l = q + 14; p = v + 14; u = n + 4; i = k + 4; n = s + 16; m = d + 1; r = i + 5. If v = 10, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 14", "q": "r + 5", "o": "q + 12", "i": "o + 2", "b": "i + 18", "t": "b + 7", "a": "m + 12", "d": "a + 19", "z": "d + 6", "v": "z + 10", "h": "v + 15", "g": "h + 16", "m": 1}, "premises": {"m": 1}, "target": "t"}, "answer": {"steps": [["b", "i + 18", "i + 25"], ["i", "o + 2", "o + 27"], ["o", "q + 12", "q + 39"], ["q", "r + 5", "r + 44"], ["r", "m + 14", "m + 58"], ["m", 1, "59"]], "target_var_name": "t", "target_value": 59, "value_dict": {"m": 1}, "is_reverse": true}} | 305 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = r + 5; t = b + 7; r = m + 14; d = a + 19; a = m + 12; m = 1; i = o + 2; h = v + 15; v = z + 10; o = q + 12; z = d + 6; g = h + 16; b = i + 18. Given that m = 1, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 18 to t, which gives t = i + 25.\n2. Substitute i = o + 2 to t, which gives t = o + 27.\n3. Substitute o = q + 12 to t, which gives t = q + 39.\n4. Substitute q = r + 5 to t, which gives t = r + 44.\n5. Substitute r = m + 14 to t, which gives t = m + 58.\n6. Substitute m = 1 to t, which gives t = 59.\n\nThus, the final answer is t = \\boxed{59}.",
"index": 305,
"question": "Suppose a collection of variables is related by the following definitions: q = r + 5; t = b + 7; r = m + 14; d = a + 19; a = m + 12; m = 1; i = o + 2; h = v + 15; v = z + 10; o = q + 12; z = d + 6; g = h + 16; b = i + 18. Given that m = 1, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 17", "c": "e + 17", "a": "c + 10", "s": "a + 5", "v": "s + 19", "h": "v + 5", "f": "i + 14", "q": "f + 18", "z": "q + 18", "u": "z + 7", "j": "u + 10", "r": "j + 10", "i": 11}, "premises": {"i": 11}, "target": "h"}, "answer": {"steps": [["e", "i + 17", 28], ["c", "e + 17", 45], ["a", "c + 10", 55], ["s", "a + 5", 60], ["v", "s + 19", 79], ["h", "v + 5", 84]], "target_var_name": "h", "target_value": 84, "value_dict": {"i": 11, "e": 28, "c": 45, "a": 55, "s": 60, "v": 79, "h": 84}, "is_reverse": false}} | 306 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = z + 7; q = f + 18; r = j + 10; i = 11; v = s + 19; c = e + 17; s = a + 5; h = v + 5; f = i + 14; e = i + 17; z = q + 18; a = c + 10; j = u + 10. If i = 11, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = i + 17, which gives e = 28.\n2. Compute c using c = e + 17, which gives c = 45.\n3. Compute a using a = c + 10, which gives a = 55.\n4. Compute s using s = a + 5, which gives s = 60.\n5. Compute v using v = s + 19, which gives v = 79.\n6. Compute h using h = v + 5, which gives h = 84.\n\nThus, the final answer is h = \\boxed{84}.",
"index": 306,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = z + 7; q = f + 18; r = j + 10; i = 11; v = s + 19; c = e + 17; s = a + 5; h = v + 5; f = i + 14; e = i + 17; z = q + 18; a = c + 10; j = u + 10. If i = 11, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 8", "v": "n + 20", "j": "v + 3", "t": "j + 9", "m": "t + 2", "x": "m + 16", "a": "y + 18", "o": "a + 18", "l": "o + 10", "e": "l + 13", "i": "e + 10", "b": "i + 11", "y": 18}, "premises": {"y": 18}, "target": "x"}, "answer": {"steps": [["m", "t + 2", "t + 18"], ["t", "j + 9", "j + 27"], ["j", "v + 3", "v + 30"], ["v", "n + 20", "n + 50"], ["n", "y + 8", "y + 58"], ["y", 18, "76"]], "target_var_name": "x", "target_value": 76, "value_dict": {"y": 18}, "is_reverse": true}} | 307 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = v + 3; l = o + 10; o = a + 18; m = t + 2; b = i + 11; t = j + 9; x = m + 16; e = l + 13; a = y + 18; y = 18; i = e + 10; n = y + 8; v = n + 20. If y = 18, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 2 to x, which gives x = t + 18.\n2. Substitute t = j + 9 to x, which gives x = j + 27.\n3. Substitute j = v + 3 to x, which gives x = v + 30.\n4. Substitute v = n + 20 to x, which gives x = n + 50.\n5. Substitute n = y + 8 to x, which gives x = y + 58.\n6. Substitute y = 18 to x, which gives x = 76.\n\nThus, the final answer is x = \\boxed{76}.",
"index": 307,
"question": "Consider a system of variables where each variable is defined as follows: j = v + 3; l = o + 10; o = a + 18; m = t + 2; b = i + 11; t = j + 9; x = m + 16; e = l + 13; a = y + 18; y = 18; i = e + 10; n = y + 8; v = n + 20. If y = 18, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 17", "h": "v + 5", "n": "h + 11", "s": "n + 9", "j": "s + 7", "u": "j + 12", "o": "f + 15", "a": "o + 3", "t": "a + 7", "c": "t + 19", "i": "c + 8", "r": "i + 12", "f": 17}, "premises": {"f": 17}, "target": "u"}, "answer": {"steps": [["j", "s + 7", "s + 19"], ["s", "n + 9", "n + 28"], ["n", "h + 11", "h + 39"], ["h", "v + 5", "v + 44"], ["v", "f + 17", "f + 61"], ["f", 17, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"f": 17}, "is_reverse": true}} | 308 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = j + 12; r = i + 12; j = s + 7; t = a + 7; h = v + 5; o = f + 15; i = c + 8; s = n + 9; f = 17; a = o + 3; c = t + 19; v = f + 17; n = h + 11. If f = 17, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 7 to u, which gives u = s + 19.\n2. Substitute s = n + 9 to u, which gives u = n + 28.\n3. Substitute n = h + 11 to u, which gives u = h + 39.\n4. Substitute h = v + 5 to u, which gives u = v + 44.\n5. Substitute v = f + 17 to u, which gives u = f + 61.\n6. Substitute f = 17 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 308,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = j + 12; r = i + 12; j = s + 7; t = a + 7; h = v + 5; o = f + 15; i = c + 8; s = n + 9; f = 17; a = o + 3; c = t + 19; v = f + 17; n = h + 11. If f = 17, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"n": "i + 20", "q": "n + 11", "x": "q + 15", "u": "x + 8", "c": "u + 16", "p": "c + 18", "w": "i + 16", "s": "w + 13", "t": "s + 8", "j": "t + 13", "r": "j + 4", "v": "r + 19", "i": 1}, "premises": {"i": 1}, "target": "p"}, "answer": {"steps": [["n", "i + 20", 21], ["q", "n + 11", 32], ["x", "q + 15", 47], ["u", "x + 8", 55], ["c", "u + 16", 71], ["p", "c + 18", 89]], "target_var_name": "p", "target_value": 89, "value_dict": {"i": 1, "n": 21, "q": 32, "x": 47, "u": 55, "c": 71, "p": 89}, "is_reverse": false}} | 309 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 11; n = i + 20; j = t + 13; i = 1; t = s + 8; w = i + 16; s = w + 13; x = q + 15; r = j + 4; v = r + 19; u = x + 8; c = u + 16; p = c + 18. If i = 1, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = i + 20, which gives n = 21.\n2. Compute q using q = n + 11, which gives q = 32.\n3. Compute x using x = q + 15, which gives x = 47.\n4. Compute u using u = x + 8, which gives u = 55.\n5. Compute c using c = u + 16, which gives c = 71.\n6. Compute p using p = c + 18, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 309,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 11; n = i + 20; j = t + 13; i = 1; t = s + 8; w = i + 16; s = w + 13; x = q + 15; r = j + 4; v = r + 19; u = x + 8; c = u + 16; p = c + 18. If i = 1, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 14", "k": "c + 10", "v": "k + 17", "w": "v + 8", "z": "w + 4", "a": "z + 20", "u": "q + 14", "y": "u + 10", "f": "y + 5", "i": "f + 18", "g": "i + 18", "s": "g + 17", "q": 6}, "premises": {"q": 6}, "target": "a"}, "answer": {"steps": [["c", "q + 14", 20], ["k", "c + 10", 30], ["v", "k + 17", 47], ["w", "v + 8", 55], ["z", "w + 4", 59], ["a", "z + 20", 79]], "target_var_name": "a", "target_value": 79, "value_dict": {"q": 6, "c": 20, "k": 30, "v": 47, "w": 55, "z": 59, "a": 79}, "is_reverse": false}} | 310 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = i + 18; y = u + 10; u = q + 14; c = q + 14; w = v + 8; k = c + 10; i = f + 18; q = 6; v = k + 17; s = g + 17; z = w + 4; f = y + 5; a = z + 20. If q = 6, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = q + 14, which gives c = 20.\n2. Compute k using k = c + 10, which gives k = 30.\n3. Compute v using v = k + 17, which gives v = 47.\n4. Compute w using w = v + 8, which gives w = 55.\n5. Compute z using z = w + 4, which gives z = 59.\n6. Compute a using a = z + 20, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 310,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = i + 18; y = u + 10; u = q + 14; c = q + 14; w = v + 8; k = c + 10; i = f + 18; q = 6; v = k + 17; s = g + 17; z = w + 4; f = y + 5; a = z + 20. If q = 6, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 10", "m": "v + 14", "z": "m + 5", "j": "z + 10", "y": "j + 5", "p": "y + 10", "t": "x + 14", "r": "t + 19", "s": "r + 9", "g": "s + 16", "u": "g + 17", "o": "u + 12", "x": 1}, "premises": {"x": 1}, "target": "p"}, "answer": {"steps": [["v", "x + 10", 11], ["m", "v + 14", 25], ["z", "m + 5", 30], ["j", "z + 10", 40], ["y", "j + 5", 45], ["p", "y + 10", 55]], "target_var_name": "p", "target_value": 55, "value_dict": {"x": 1, "v": 11, "m": 25, "z": 30, "j": 40, "y": 45, "p": 55}, "is_reverse": false}} | 311 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = m + 5; x = 1; y = j + 5; r = t + 19; g = s + 16; u = g + 17; p = y + 10; s = r + 9; t = x + 14; v = x + 10; j = z + 10; m = v + 14; o = u + 12. If x = 1, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = x + 10, which gives v = 11.\n2. Compute m using m = v + 14, which gives m = 25.\n3. Compute z using z = m + 5, which gives z = 30.\n4. Compute j using j = z + 10, which gives j = 40.\n5. Compute y using y = j + 5, which gives y = 45.\n6. Compute p using p = y + 10, which gives p = 55.\n\nThus, the final answer is p = \\boxed{55}.",
"index": 311,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = m + 5; x = 1; y = j + 5; r = t + 19; g = s + 16; u = g + 17; p = y + 10; s = r + 9; t = x + 14; v = x + 10; j = z + 10; m = v + 14; o = u + 12. If x = 1, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 11", "l": "i + 16", "z": "l + 5", "a": "z + 9", "v": "a + 3", "u": "v + 16", "j": "x + 13", "g": "j + 17", "k": "g + 16", "r": "k + 10", "n": "r + 17", "p": "n + 8", "x": 7}, "premises": {"x": 7}, "target": "u"}, "answer": {"steps": [["i", "x + 11", 18], ["l", "i + 16", 34], ["z", "l + 5", 39], ["a", "z + 9", 48], ["v", "a + 3", 51], ["u", "v + 16", 67]], "target_var_name": "u", "target_value": 67, "value_dict": {"x": 7, "i": 18, "l": 34, "z": 39, "a": 48, "v": 51, "u": 67}, "is_reverse": false}} | 312 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = z + 9; z = l + 5; g = j + 17; i = x + 11; v = a + 3; k = g + 16; x = 7; l = i + 16; r = k + 10; n = r + 17; p = n + 8; j = x + 13; u = v + 16. Given that x = 7, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = x + 11, which gives i = 18.\n2. Compute l using l = i + 16, which gives l = 34.\n3. Compute z using z = l + 5, which gives z = 39.\n4. Compute a using a = z + 9, which gives a = 48.\n5. Compute v using v = a + 3, which gives v = 51.\n6. Compute u using u = v + 16, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 312,
"question": "Suppose a collection of variables is related by the following definitions: a = z + 9; z = l + 5; g = j + 17; i = x + 11; v = a + 3; k = g + 16; x = 7; l = i + 16; r = k + 10; n = r + 17; p = n + 8; j = x + 13; u = v + 16. Given that x = 7, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 15", "v": "d + 1", "h": "v + 20", "e": "h + 19", "b": "e + 11", "q": "b + 20", "z": "x + 3", "l": "z + 18", "i": "l + 14", "r": "i + 13", "j": "r + 8", "s": "j + 10", "x": 18}, "premises": {"x": 18}, "target": "q"}, "answer": {"steps": [["d", "x + 15", 33], ["v", "d + 1", 34], ["h", "v + 20", 54], ["e", "h + 19", 73], ["b", "e + 11", 84], ["q", "b + 20", 104]], "target_var_name": "q", "target_value": 104, "value_dict": {"x": 18, "d": 33, "v": 34, "h": 54, "e": 73, "b": 84, "q": 104}, "is_reverse": false}} | 313 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = i + 13; b = e + 11; s = j + 10; x = 18; h = v + 20; v = d + 1; i = l + 14; l = z + 18; d = x + 15; q = b + 20; e = h + 19; j = r + 8; z = x + 3. If x = 18, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = x + 15, which gives d = 33.\n2. Compute v using v = d + 1, which gives v = 34.\n3. Compute h using h = v + 20, which gives h = 54.\n4. Compute e using e = h + 19, which gives e = 73.\n5. Compute b using b = e + 11, which gives b = 84.\n6. Compute q using q = b + 20, which gives q = 104.\n\nThus, the final answer is q = \\boxed{104}.",
"index": 313,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = i + 13; b = e + 11; s = j + 10; x = 18; h = v + 20; v = d + 1; i = l + 14; l = z + 18; d = x + 15; q = b + 20; e = h + 19; j = r + 8; z = x + 3. If x = 18, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"q": "b + 11", "y": "q + 13", "z": "y + 18", "k": "z + 12", "j": "k + 8", "x": "j + 14", "c": "b + 4", "o": "c + 2", "p": "o + 15", "l": "p + 7", "f": "l + 8", "t": "f + 3", "b": 12}, "premises": {"b": 12}, "target": "x"}, "answer": {"steps": [["j", "k + 8", "k + 22"], ["k", "z + 12", "z + 34"], ["z", "y + 18", "y + 52"], ["y", "q + 13", "q + 65"], ["q", "b + 11", "b + 76"], ["b", 12, "88"]], "target_var_name": "x", "target_value": 88, "value_dict": {"b": 12}, "is_reverse": true}} | 314 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = b + 4; l = p + 7; x = j + 14; t = f + 3; p = o + 15; z = y + 18; y = q + 13; b = 12; q = b + 11; k = z + 12; o = c + 2; j = k + 8; f = l + 8. Given that b = 12, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 8 to x, which gives x = k + 22.\n2. Substitute k = z + 12 to x, which gives x = z + 34.\n3. Substitute z = y + 18 to x, which gives x = y + 52.\n4. Substitute y = q + 13 to x, which gives x = q + 65.\n5. Substitute q = b + 11 to x, which gives x = b + 76.\n6. Substitute b = 12 to x, which gives x = 88.\n\nThus, the final answer is x = \\boxed{88}.",
"index": 314,
"question": "Suppose a collection of variables is related by the following definitions: c = b + 4; l = p + 7; x = j + 14; t = f + 3; p = o + 15; z = y + 18; y = q + 13; b = 12; q = b + 11; k = z + 12; o = c + 2; j = k + 8; f = l + 8. Given that b = 12, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 20", "j": "v + 19", "b": "j + 17", "z": "b + 20", "i": "z + 10", "p": "i + 17", "o": "c + 8", "t": "o + 20", "n": "t + 9", "h": "n + 1", "a": "h + 11", "q": "a + 11", "c": 1}, "premises": {"c": 1}, "target": "p"}, "answer": {"steps": [["v", "c + 20", 21], ["j", "v + 19", 40], ["b", "j + 17", 57], ["z", "b + 20", 77], ["i", "z + 10", 87], ["p", "i + 17", 104]], "target_var_name": "p", "target_value": 104, "value_dict": {"c": 1, "v": 21, "j": 40, "b": 57, "z": 77, "i": 87, "p": 104}, "is_reverse": false}} | 315 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = j + 17; j = v + 19; v = c + 20; n = t + 9; q = a + 11; p = i + 17; a = h + 11; h = n + 1; c = 1; t = o + 20; z = b + 20; i = z + 10; o = c + 8. Given that c = 1, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = c + 20, which gives v = 21.\n2. Compute j using j = v + 19, which gives j = 40.\n3. Compute b using b = j + 17, which gives b = 57.\n4. Compute z using z = b + 20, which gives z = 77.\n5. Compute i using i = z + 10, which gives i = 87.\n6. Compute p using p = i + 17, which gives p = 104.\n\nThus, the final answer is p = \\boxed{104}.",
"index": 315,
"question": "Suppose a collection of variables is related by the following definitions: b = j + 17; j = v + 19; v = c + 20; n = t + 9; q = a + 11; p = i + 17; a = h + 11; h = n + 1; c = 1; t = o + 20; z = b + 20; i = z + 10; o = c + 8. Given that c = 1, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"l": "o + 20", "b": "l + 5", "h": "b + 8", "x": "h + 20", "q": "x + 12", "y": "q + 5", "w": "o + 11", "j": "w + 11", "c": "j + 1", "p": "c + 11", "g": "p + 7", "m": "g + 18", "o": 2}, "premises": {"o": 2}, "target": "y"}, "answer": {"steps": [["l", "o + 20", 22], ["b", "l + 5", 27], ["h", "b + 8", 35], ["x", "h + 20", 55], ["q", "x + 12", 67], ["y", "q + 5", 72]], "target_var_name": "y", "target_value": 72, "value_dict": {"o": 2, "l": 22, "b": 27, "h": 35, "x": 55, "q": 67, "y": 72}, "is_reverse": false}} | 316 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = p + 7; c = j + 1; l = o + 20; j = w + 11; y = q + 5; q = x + 12; x = h + 20; o = 2; m = g + 18; w = o + 11; b = l + 5; p = c + 11; h = b + 8. If o = 2, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = o + 20, which gives l = 22.\n2. Compute b using b = l + 5, which gives b = 27.\n3. Compute h using h = b + 8, which gives h = 35.\n4. Compute x using x = h + 20, which gives x = 55.\n5. Compute q using q = x + 12, which gives q = 67.\n6. Compute y using y = q + 5, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 316,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = p + 7; c = j + 1; l = o + 20; j = w + 11; y = q + 5; q = x + 12; x = h + 20; o = 2; m = g + 18; w = o + 11; b = l + 5; p = c + 11; h = b + 8. If o = 2, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 3", "v": "d + 18", "q": "v + 9", "w": "q + 16", "g": "w + 8", "m": "g + 9", "o": "y + 19", "a": "o + 14", "c": "a + 3", "e": "c + 11", "f": "e + 1", "x": "f + 13", "y": 13}, "premises": {"y": 13}, "target": "m"}, "answer": {"steps": [["g", "w + 8", "w + 17"], ["w", "q + 16", "q + 33"], ["q", "v + 9", "v + 42"], ["v", "d + 18", "d + 60"], ["d", "y + 3", "y + 63"], ["y", 13, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"y": 13}, "is_reverse": true}} | 317 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = o + 14; c = a + 3; m = g + 9; o = y + 19; g = w + 8; w = q + 16; q = v + 9; f = e + 1; v = d + 18; e = c + 11; d = y + 3; y = 13; x = f + 13. If y = 13, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 8 to m, which gives m = w + 17.\n2. Substitute w = q + 16 to m, which gives m = q + 33.\n3. Substitute q = v + 9 to m, which gives m = v + 42.\n4. Substitute v = d + 18 to m, which gives m = d + 60.\n5. Substitute d = y + 3 to m, which gives m = y + 63.\n6. Substitute y = 13 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 317,
"question": "Consider a system of variables where each variable is defined as follows: a = o + 14; c = a + 3; m = g + 9; o = y + 19; g = w + 8; w = q + 16; q = v + 9; f = e + 1; v = d + 18; e = c + 11; d = y + 3; y = 13; x = f + 13. If y = 13, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 3", "c": "s + 4", "q": "c + 11", "i": "q + 1", "b": "i + 3", "l": "b + 5", "n": "r + 12", "p": "n + 5", "o": "p + 8", "m": "o + 12", "e": "m + 13", "d": "e + 2", "r": 7}, "premises": {"r": 7}, "target": "l"}, "answer": {"steps": [["b", "i + 3", "i + 8"], ["i", "q + 1", "q + 9"], ["q", "c + 11", "c + 20"], ["c", "s + 4", "s + 24"], ["s", "r + 3", "r + 27"], ["r", 7, "34"]], "target_var_name": "l", "target_value": 34, "value_dict": {"r": 7}, "is_reverse": true}} | 318 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = e + 2; s = r + 3; p = n + 5; c = s + 4; m = o + 12; b = i + 3; l = b + 5; r = 7; q = c + 11; o = p + 8; i = q + 1; n = r + 12; e = m + 13. If r = 7, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 34,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 3 to l, which gives l = i + 8.\n2. Substitute i = q + 1 to l, which gives l = q + 9.\n3. Substitute q = c + 11 to l, which gives l = c + 20.\n4. Substitute c = s + 4 to l, which gives l = s + 24.\n5. Substitute s = r + 3 to l, which gives l = r + 27.\n6. Substitute r = 7 to l, which gives l = 34.\n\nThus, the final answer is l = \\boxed{34}.",
"index": 318,
"question": "Consider a system of variables where each variable is defined as follows: d = e + 2; s = r + 3; p = n + 5; c = s + 4; m = o + 12; b = i + 3; l = b + 5; r = 7; q = c + 11; o = p + 8; i = q + 1; n = r + 12; e = m + 13. If r = 7, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"l": "s + 15", "u": "l + 14", "y": "u + 19", "d": "y + 13", "b": "d + 19", "x": "b + 16", "a": "s + 2", "j": "a + 11", "o": "j + 10", "p": "o + 18", "m": "p + 1", "k": "m + 4", "s": 1}, "premises": {"s": 1}, "target": "x"}, "answer": {"steps": [["l", "s + 15", 16], ["u", "l + 14", 30], ["y", "u + 19", 49], ["d", "y + 13", 62], ["b", "d + 19", 81], ["x", "b + 16", 97]], "target_var_name": "x", "target_value": 97, "value_dict": {"s": 1, "l": 16, "u": 30, "y": 49, "d": 62, "b": 81, "x": 97}, "is_reverse": false}} | 319 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = d + 19; l = s + 15; u = l + 14; k = m + 4; j = a + 11; s = 1; p = o + 18; y = u + 19; o = j + 10; x = b + 16; m = p + 1; d = y + 13; a = s + 2. If s = 1, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = s + 15, which gives l = 16.\n2. Compute u using u = l + 14, which gives u = 30.\n3. Compute y using y = u + 19, which gives y = 49.\n4. Compute d using d = y + 13, which gives d = 62.\n5. Compute b using b = d + 19, which gives b = 81.\n6. Compute x using x = b + 16, which gives x = 97.\n\nThus, the final answer is x = \\boxed{97}.",
"index": 319,
"question": "Consider a system of variables where each variable is defined as follows: b = d + 19; l = s + 15; u = l + 14; k = m + 4; j = a + 11; s = 1; p = o + 18; y = u + 19; o = j + 10; x = b + 16; m = p + 1; d = y + 13; a = s + 2. If s = 1, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"f": "l + 8", "b": "f + 3", "x": "b + 7", "m": "x + 14", "t": "m + 6", "r": "t + 12", "g": "l + 18", "i": "g + 17", "s": "i + 5", "p": "s + 16", "y": "p + 9", "u": "y + 12", "l": 12}, "premises": {"l": 12}, "target": "r"}, "answer": {"steps": [["t", "m + 6", "m + 18"], ["m", "x + 14", "x + 32"], ["x", "b + 7", "b + 39"], ["b", "f + 3", "f + 42"], ["f", "l + 8", "l + 50"], ["l", 12, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"l": 12}, "is_reverse": true}} | 320 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = x + 14; t = m + 6; p = s + 16; x = b + 7; l = 12; u = y + 12; r = t + 12; i = g + 17; g = l + 18; s = i + 5; f = l + 8; b = f + 3; y = p + 9. If l = 12, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 6 to r, which gives r = m + 18.\n2. Substitute m = x + 14 to r, which gives r = x + 32.\n3. Substitute x = b + 7 to r, which gives r = b + 39.\n4. Substitute b = f + 3 to r, which gives r = f + 42.\n5. Substitute f = l + 8 to r, which gives r = l + 50.\n6. Substitute l = 12 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 320,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = x + 14; t = m + 6; p = s + 16; x = b + 7; l = 12; u = y + 12; r = t + 12; i = g + 17; g = l + 18; s = i + 5; f = l + 8; b = f + 3; y = p + 9. If l = 12, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 3", "z": "w + 11", "l": "z + 6", "g": "l + 10", "r": "g + 17", "i": "r + 8", "u": "x + 1", "a": "u + 18", "t": "a + 8", "y": "t + 19", "n": "y + 11", "f": "n + 17", "x": 20}, "premises": {"x": 20}, "target": "i"}, "answer": {"steps": [["w", "x + 3", 23], ["z", "w + 11", 34], ["l", "z + 6", 40], ["g", "l + 10", 50], ["r", "g + 17", 67], ["i", "r + 8", 75]], "target_var_name": "i", "target_value": 75, "value_dict": {"x": 20, "w": 23, "z": 34, "l": 40, "g": 50, "r": 67, "i": 75}, "is_reverse": false}} | 321 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = n + 17; x = 20; u = x + 1; r = g + 17; g = l + 10; a = u + 18; n = y + 11; t = a + 8; y = t + 19; z = w + 11; l = z + 6; w = x + 3; i = r + 8. Given that x = 20, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = x + 3, which gives w = 23.\n2. Compute z using z = w + 11, which gives z = 34.\n3. Compute l using l = z + 6, which gives l = 40.\n4. Compute g using g = l + 10, which gives g = 50.\n5. Compute r using r = g + 17, which gives r = 67.\n6. Compute i using i = r + 8, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 321,
"question": "Suppose a collection of variables is related by the following definitions: f = n + 17; x = 20; u = x + 1; r = g + 17; g = l + 10; a = u + 18; n = y + 11; t = a + 8; y = t + 19; z = w + 11; l = z + 6; w = x + 3; i = r + 8. Given that x = 20, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 8", "l": "y + 16", "g": "l + 15", "j": "g + 11", "e": "j + 5", "n": "e + 1", "h": "m + 8", "i": "h + 12", "x": "i + 4", "f": "x + 2", "z": "f + 16", "v": "z + 1", "m": 3}, "premises": {"m": 3}, "target": "n"}, "answer": {"steps": [["y", "m + 8", 11], ["l", "y + 16", 27], ["g", "l + 15", 42], ["j", "g + 11", 53], ["e", "j + 5", 58], ["n", "e + 1", 59]], "target_var_name": "n", "target_value": 59, "value_dict": {"m": 3, "y": 11, "l": 27, "g": 42, "j": 53, "e": 58, "n": 59}, "is_reverse": false}} | 322 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = j + 5; g = l + 15; i = h + 12; v = z + 1; l = y + 16; z = f + 16; n = e + 1; y = m + 8; x = i + 4; h = m + 8; j = g + 11; m = 3; f = x + 2. If m = 3, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = m + 8, which gives y = 11.\n2. Compute l using l = y + 16, which gives l = 27.\n3. Compute g using g = l + 15, which gives g = 42.\n4. Compute j using j = g + 11, which gives j = 53.\n5. Compute e using e = j + 5, which gives e = 58.\n6. Compute n using n = e + 1, which gives n = 59.\n\nThus, the final answer is n = \\boxed{59}.",
"index": 322,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = j + 5; g = l + 15; i = h + 12; v = z + 1; l = y + 16; z = f + 16; n = e + 1; y = m + 8; x = i + 4; h = m + 8; j = g + 11; m = 3; f = x + 2. If m = 3, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 1", "k": "b + 2", "g": "k + 6", "l": "g + 9", "z": "l + 11", "y": "z + 6", "n": "d + 14", "h": "n + 6", "q": "h + 7", "e": "q + 7", "u": "e + 3", "t": "u + 1", "d": 3}, "premises": {"d": 3}, "target": "y"}, "answer": {"steps": [["b", "d + 1", 4], ["k", "b + 2", 6], ["g", "k + 6", 12], ["l", "g + 9", 21], ["z", "l + 11", 32], ["y", "z + 6", 38]], "target_var_name": "y", "target_value": 38, "value_dict": {"d": 3, "b": 4, "k": 6, "g": 12, "l": 21, "z": 32, "y": 38}, "is_reverse": false}} | 323 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = u + 1; g = k + 6; e = q + 7; l = g + 9; h = n + 6; z = l + 11; q = h + 7; y = z + 6; n = d + 14; u = e + 3; d = 3; k = b + 2; b = d + 1. If d = 3, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 38,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = d + 1, which gives b = 4.\n2. Compute k using k = b + 2, which gives k = 6.\n3. Compute g using g = k + 6, which gives g = 12.\n4. Compute l using l = g + 9, which gives l = 21.\n5. Compute z using z = l + 11, which gives z = 32.\n6. Compute y using y = z + 6, which gives y = 38.\n\nThus, the final answer is y = \\boxed{38}.",
"index": 323,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = u + 1; g = k + 6; e = q + 7; l = g + 9; h = n + 6; z = l + 11; q = h + 7; y = z + 6; n = d + 14; u = e + 3; d = 3; k = b + 2; b = d + 1. If d = 3, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"a": "l + 4", "j": "a + 5", "p": "j + 16", "v": "p + 12", "g": "v + 5", "d": "g + 1", "m": "l + 4", "n": "m + 13", "y": "n + 15", "t": "y + 9", "c": "t + 2", "z": "c + 9", "l": 14}, "premises": {"l": 14}, "target": "d"}, "answer": {"steps": [["g", "v + 5", "v + 6"], ["v", "p + 12", "p + 18"], ["p", "j + 16", "j + 34"], ["j", "a + 5", "a + 39"], ["a", "l + 4", "l + 43"], ["l", 14, "57"]], "target_var_name": "d", "target_value": 57, "value_dict": {"l": 14}, "is_reverse": true}} | 324 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 2; n = m + 13; d = g + 1; l = 14; v = p + 12; t = y + 9; y = n + 15; j = a + 5; m = l + 4; z = c + 9; a = l + 4; g = v + 5; p = j + 16. If l = 14, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 5 to d, which gives d = v + 6.\n2. Substitute v = p + 12 to d, which gives d = p + 18.\n3. Substitute p = j + 16 to d, which gives d = j + 34.\n4. Substitute j = a + 5 to d, which gives d = a + 39.\n5. Substitute a = l + 4 to d, which gives d = l + 43.\n6. Substitute l = 14 to d, which gives d = 57.\n\nThus, the final answer is d = \\boxed{57}.",
"index": 324,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 2; n = m + 13; d = g + 1; l = 14; v = p + 12; t = y + 9; y = n + 15; j = a + 5; m = l + 4; z = c + 9; a = l + 4; g = v + 5; p = j + 16. If l = 14, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 6", "p": "v + 3", "d": "p + 13", "f": "d + 20", "h": "f + 13", "l": "h + 17", "z": "w + 12", "r": "z + 2", "e": "r + 16", "a": "e + 3", "g": "a + 4", "i": "g + 18", "w": 6}, "premises": {"w": 6}, "target": "l"}, "answer": {"steps": [["v", "w + 6", 12], ["p", "v + 3", 15], ["d", "p + 13", 28], ["f", "d + 20", 48], ["h", "f + 13", 61], ["l", "h + 17", 78]], "target_var_name": "l", "target_value": 78, "value_dict": {"w": 6, "v": 12, "p": 15, "d": 28, "f": 48, "h": 61, "l": 78}, "is_reverse": false}} | 325 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 2; v = w + 6; a = e + 3; p = v + 3; g = a + 4; f = d + 20; z = w + 12; d = p + 13; l = h + 17; i = g + 18; e = r + 16; h = f + 13; w = 6. If w = 6, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = w + 6, which gives v = 12.\n2. Compute p using p = v + 3, which gives p = 15.\n3. Compute d using d = p + 13, which gives d = 28.\n4. Compute f using f = d + 20, which gives f = 48.\n5. Compute h using h = f + 13, which gives h = 61.\n6. Compute l using l = h + 17, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 325,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 2; v = w + 6; a = e + 3; p = v + 3; g = a + 4; f = d + 20; z = w + 12; d = p + 13; l = h + 17; i = g + 18; e = r + 16; h = f + 13; w = 6. If w = 6, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 6", "m": "n + 20", "e": "m + 10", "y": "e + 12", "t": "y + 13", "c": "t + 17", "q": "f + 9", "x": "q + 15", "u": "x + 12", "j": "u + 16", "l": "j + 11", "a": "l + 13", "f": 5}, "premises": {"f": 5}, "target": "c"}, "answer": {"steps": [["n", "f + 6", 11], ["m", "n + 20", 31], ["e", "m + 10", 41], ["y", "e + 12", 53], ["t", "y + 13", 66], ["c", "t + 17", 83]], "target_var_name": "c", "target_value": 83, "value_dict": {"f": 5, "n": 11, "m": 31, "e": 41, "y": 53, "t": 66, "c": 83}, "is_reverse": false}} | 326 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = t + 17; j = u + 16; e = m + 10; t = y + 13; n = f + 6; l = j + 11; q = f + 9; x = q + 15; u = x + 12; m = n + 20; f = 5; y = e + 12; a = l + 13. If f = 5, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = f + 6, which gives n = 11.\n2. Compute m using m = n + 20, which gives m = 31.\n3. Compute e using e = m + 10, which gives e = 41.\n4. Compute y using y = e + 12, which gives y = 53.\n5. Compute t using t = y + 13, which gives t = 66.\n6. Compute c using c = t + 17, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 326,
"question": "Consider a system of variables where each variable is defined as follows: c = t + 17; j = u + 16; e = m + 10; t = y + 13; n = f + 6; l = j + 11; q = f + 9; x = q + 15; u = x + 12; m = n + 20; f = 5; y = e + 12; a = l + 13. If f = 5, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "n + 16", "s": "p + 11", "t": "s + 2", "k": "t + 1", "i": "k + 8", "e": "i + 9", "h": "n + 2", "m": "h + 6", "b": "m + 4", "v": "b + 19", "j": "v + 14", "a": "j + 15", "n": 1}, "premises": {"n": 1}, "target": "e"}, "answer": {"steps": [["p", "n + 16", 17], ["s", "p + 11", 28], ["t", "s + 2", 30], ["k", "t + 1", 31], ["i", "k + 8", 39], ["e", "i + 9", 48]], "target_var_name": "e", "target_value": 48, "value_dict": {"n": 1, "p": 17, "s": 28, "t": 30, "k": 31, "i": 39, "e": 48}, "is_reverse": false}} | 327 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = j + 15; j = v + 14; k = t + 1; m = h + 6; i = k + 8; e = i + 9; p = n + 16; t = s + 2; h = n + 2; v = b + 19; s = p + 11; n = 1; b = m + 4. If n = 1, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = n + 16, which gives p = 17.\n2. Compute s using s = p + 11, which gives s = 28.\n3. Compute t using t = s + 2, which gives t = 30.\n4. Compute k using k = t + 1, which gives k = 31.\n5. Compute i using i = k + 8, which gives i = 39.\n6. Compute e using e = i + 9, which gives e = 48.\n\nThus, the final answer is e = \\boxed{48}.",
"index": 327,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = j + 15; j = v + 14; k = t + 1; m = h + 6; i = k + 8; e = i + 9; p = n + 16; t = s + 2; h = n + 2; v = b + 19; s = p + 11; n = 1; b = m + 4. If n = 1, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 2", "n": "t + 15", "i": "n + 3", "e": "i + 4", "q": "e + 16", "h": "q + 1", "g": "o + 10", "a": "g + 13", "m": "a + 17", "x": "m + 7", "u": "x + 1", "w": "u + 16", "o": 15}, "premises": {"o": 15}, "target": "h"}, "answer": {"steps": [["t", "o + 2", 17], ["n", "t + 15", 32], ["i", "n + 3", 35], ["e", "i + 4", 39], ["q", "e + 16", 55], ["h", "q + 1", 56]], "target_var_name": "h", "target_value": 56, "value_dict": {"o": 15, "t": 17, "n": 32, "i": 35, "e": 39, "q": 55, "h": 56}, "is_reverse": false}} | 328 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = 15; t = o + 2; q = e + 16; u = x + 1; i = n + 3; w = u + 16; n = t + 15; x = m + 7; m = a + 17; a = g + 13; h = q + 1; e = i + 4; g = o + 10. Given that o = 15, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = o + 2, which gives t = 17.\n2. Compute n using n = t + 15, which gives n = 32.\n3. Compute i using i = n + 3, which gives i = 35.\n4. Compute e using e = i + 4, which gives e = 39.\n5. Compute q using q = e + 16, which gives q = 55.\n6. Compute h using h = q + 1, which gives h = 56.\n\nThus, the final answer is h = \\boxed{56}.",
"index": 328,
"question": "Suppose a collection of variables is related by the following definitions: o = 15; t = o + 2; q = e + 16; u = x + 1; i = n + 3; w = u + 16; n = t + 15; x = m + 7; m = a + 17; a = g + 13; h = q + 1; e = i + 4; g = o + 10. Given that o = 15, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 4", "p": "t + 6", "h": "p + 2", "s": "h + 9", "y": "s + 7", "f": "y + 18", "m": "o + 19", "r": "m + 1", "i": "r + 14", "j": "i + 11", "z": "j + 17", "l": "z + 20", "o": 8}, "premises": {"o": 8}, "target": "f"}, "answer": {"steps": [["t", "o + 4", 12], ["p", "t + 6", 18], ["h", "p + 2", 20], ["s", "h + 9", 29], ["y", "s + 7", 36], ["f", "y + 18", 54]], "target_var_name": "f", "target_value": 54, "value_dict": {"o": 8, "t": 12, "p": 18, "h": 20, "s": 29, "y": 36, "f": 54}, "is_reverse": false}} | 329 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = h + 9; i = r + 14; z = j + 17; j = i + 11; t = o + 4; p = t + 6; l = z + 20; f = y + 18; r = m + 1; m = o + 19; y = s + 7; o = 8; h = p + 2. Given that o = 8, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = o + 4, which gives t = 12.\n2. Compute p using p = t + 6, which gives p = 18.\n3. Compute h using h = p + 2, which gives h = 20.\n4. Compute s using s = h + 9, which gives s = 29.\n5. Compute y using y = s + 7, which gives y = 36.\n6. Compute f using f = y + 18, which gives f = 54.\n\nThus, the final answer is f = \\boxed{54}.",
"index": 329,
"question": "Suppose a collection of variables is related by the following definitions: s = h + 9; i = r + 14; z = j + 17; j = i + 11; t = o + 4; p = t + 6; l = z + 20; f = y + 18; r = m + 1; m = o + 19; y = s + 7; o = 8; h = p + 2. Given that o = 8, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 10", "j": "x + 19", "u": "j + 14", "m": "u + 7", "c": "m + 4", "p": "c + 1", "y": "v + 3", "s": "y + 16", "e": "s + 4", "r": "e + 11", "g": "r + 20", "w": "g + 18", "v": 14}, "premises": {"v": 14}, "target": "p"}, "answer": {"steps": [["x", "v + 10", 24], ["j", "x + 19", 43], ["u", "j + 14", 57], ["m", "u + 7", 64], ["c", "m + 4", 68], ["p", "c + 1", 69]], "target_var_name": "p", "target_value": 69, "value_dict": {"v": 14, "x": 24, "j": 43, "u": 57, "m": 64, "c": 68, "p": 69}, "is_reverse": false}} | 330 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 19; w = g + 18; y = v + 3; m = u + 7; c = m + 4; p = c + 1; g = r + 20; u = j + 14; s = y + 16; r = e + 11; e = s + 4; v = 14; x = v + 10. If v = 14, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = v + 10, which gives x = 24.\n2. Compute j using j = x + 19, which gives j = 43.\n3. Compute u using u = j + 14, which gives u = 57.\n4. Compute m using m = u + 7, which gives m = 64.\n5. Compute c using c = m + 4, which gives c = 68.\n6. Compute p using p = c + 1, which gives p = 69.\n\nThus, the final answer is p = \\boxed{69}.",
"index": 330,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 19; w = g + 18; y = v + 3; m = u + 7; c = m + 4; p = c + 1; g = r + 20; u = j + 14; s = y + 16; r = e + 11; e = s + 4; v = 14; x = v + 10. If v = 14, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 11", "j": "x + 4", "q": "j + 6", "l": "q + 3", "k": "l + 3", "m": "k + 18", "z": "y + 18", "v": "z + 7", "c": "v + 6", "i": "c + 5", "e": "i + 1", "h": "e + 10", "y": 20}, "premises": {"y": 20}, "target": "m"}, "answer": {"steps": [["k", "l + 3", "l + 21"], ["l", "q + 3", "q + 24"], ["q", "j + 6", "j + 30"], ["j", "x + 4", "x + 34"], ["x", "y + 11", "y + 45"], ["y", 20, "65"]], "target_var_name": "m", "target_value": 65, "value_dict": {"y": 20}, "is_reverse": true}} | 331 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = j + 6; m = k + 18; z = y + 18; i = c + 5; h = e + 10; c = v + 6; k = l + 3; y = 20; l = q + 3; e = i + 1; x = y + 11; j = x + 4; v = z + 7. If y = 20, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 3 to m, which gives m = l + 21.\n2. Substitute l = q + 3 to m, which gives m = q + 24.\n3. Substitute q = j + 6 to m, which gives m = j + 30.\n4. Substitute j = x + 4 to m, which gives m = x + 34.\n5. Substitute x = y + 11 to m, which gives m = y + 45.\n6. Substitute y = 20 to m, which gives m = 65.\n\nThus, the final answer is m = \\boxed{65}.",
"index": 331,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = j + 6; m = k + 18; z = y + 18; i = c + 5; h = e + 10; c = v + 6; k = l + 3; y = 20; l = q + 3; e = i + 1; x = y + 11; j = x + 4; v = z + 7. If y = 20, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 19", "t": "d + 10", "o": "t + 3", "h": "o + 10", "c": "h + 4", "a": "c + 2", "s": "l + 17", "z": "s + 8", "i": "z + 12", "j": "i + 2", "k": "j + 9", "r": "k + 9", "l": 11}, "premises": {"l": 11}, "target": "a"}, "answer": {"steps": [["c", "h + 4", "h + 6"], ["h", "o + 10", "o + 16"], ["o", "t + 3", "t + 19"], ["t", "d + 10", "d + 29"], ["d", "l + 19", "l + 48"], ["l", 11, "59"]], "target_var_name": "a", "target_value": 59, "value_dict": {"l": 11}, "is_reverse": true}} | 332 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = l + 17; r = k + 9; k = j + 9; t = d + 10; z = s + 8; o = t + 3; i = z + 12; l = 11; c = h + 4; a = c + 2; d = l + 19; j = i + 2; h = o + 10. If l = 11, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 4 to a, which gives a = h + 6.\n2. Substitute h = o + 10 to a, which gives a = o + 16.\n3. Substitute o = t + 3 to a, which gives a = t + 19.\n4. Substitute t = d + 10 to a, which gives a = d + 29.\n5. Substitute d = l + 19 to a, which gives a = l + 48.\n6. Substitute l = 11 to a, which gives a = 59.\n\nThus, the final answer is a = \\boxed{59}.",
"index": 332,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = l + 17; r = k + 9; k = j + 9; t = d + 10; z = s + 8; o = t + 3; i = z + 12; l = 11; c = h + 4; a = c + 2; d = l + 19; j = i + 2; h = o + 10. If l = 11, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 6", "a": "e + 12", "o": "a + 10", "j": "o + 17", "h": "j + 5", "p": "h + 15", "u": "d + 5", "l": "u + 20", "k": "l + 7", "q": "k + 9", "y": "q + 12", "m": "y + 13", "d": 1}, "premises": {"d": 1}, "target": "p"}, "answer": {"steps": [["h", "j + 5", "j + 20"], ["j", "o + 17", "o + 37"], ["o", "a + 10", "a + 47"], ["a", "e + 12", "e + 59"], ["e", "d + 6", "d + 65"], ["d", 1, "66"]], "target_var_name": "p", "target_value": 66, "value_dict": {"d": 1}, "is_reverse": true}} | 333 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = u + 20; k = l + 7; q = k + 9; j = o + 17; m = y + 13; p = h + 15; o = a + 10; e = d + 6; h = j + 5; d = 1; a = e + 12; y = q + 12; u = d + 5. If d = 1, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 5 to p, which gives p = j + 20.\n2. Substitute j = o + 17 to p, which gives p = o + 37.\n3. Substitute o = a + 10 to p, which gives p = a + 47.\n4. Substitute a = e + 12 to p, which gives p = e + 59.\n5. Substitute e = d + 6 to p, which gives p = d + 65.\n6. Substitute d = 1 to p, which gives p = 66.\n\nThus, the final answer is p = \\boxed{66}.",
"index": 333,
"question": "Consider a system of variables where each variable is defined as follows: l = u + 20; k = l + 7; q = k + 9; j = o + 17; m = y + 13; p = h + 15; o = a + 10; e = d + 6; h = j + 5; d = 1; a = e + 12; y = q + 12; u = d + 5. If d = 1, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 5", "i": "n + 13", "r": "i + 19", "h": "r + 11", "u": "h + 9", "k": "u + 6", "y": "t + 9", "q": "y + 14", "v": "q + 13", "f": "v + 13", "o": "f + 7", "b": "o + 15", "t": 15}, "premises": {"t": 15}, "target": "k"}, "answer": {"steps": [["u", "h + 9", "h + 15"], ["h", "r + 11", "r + 26"], ["r", "i + 19", "i + 45"], ["i", "n + 13", "n + 58"], ["n", "t + 5", "t + 63"], ["t", 15, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"t": 15}, "is_reverse": true}} | 334 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = t + 9; r = i + 19; f = v + 13; n = t + 5; h = r + 11; b = o + 15; q = y + 14; i = n + 13; t = 15; u = h + 9; o = f + 7; v = q + 13; k = u + 6. If t = 15, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 9 to k, which gives k = h + 15.\n2. Substitute h = r + 11 to k, which gives k = r + 26.\n3. Substitute r = i + 19 to k, which gives k = i + 45.\n4. Substitute i = n + 13 to k, which gives k = n + 58.\n5. Substitute n = t + 5 to k, which gives k = t + 63.\n6. Substitute t = 15 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 334,
"question": "Consider a system of variables where each variable is defined as follows: y = t + 9; r = i + 19; f = v + 13; n = t + 5; h = r + 11; b = o + 15; q = y + 14; i = n + 13; t = 15; u = h + 9; o = f + 7; v = q + 13; k = u + 6. If t = 15, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 9", "m": "y + 19", "x": "m + 1", "s": "x + 14", "h": "s + 18", "b": "h + 17", "j": "r + 8", "t": "j + 19", "f": "t + 20", "w": "f + 9", "a": "w + 5", "i": "a + 7", "r": 4}, "premises": {"r": 4}, "target": "b"}, "answer": {"steps": [["y", "r + 9", 13], ["m", "y + 19", 32], ["x", "m + 1", 33], ["s", "x + 14", 47], ["h", "s + 18", 65], ["b", "h + 17", 82]], "target_var_name": "b", "target_value": 82, "value_dict": {"r": 4, "y": 13, "m": 32, "x": 33, "s": 47, "h": 65, "b": 82}, "is_reverse": false}} | 335 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = r + 8; y = r + 9; a = w + 5; b = h + 17; t = j + 19; f = t + 20; m = y + 19; r = 4; i = a + 7; s = x + 14; h = s + 18; x = m + 1; w = f + 9. If r = 4, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = r + 9, which gives y = 13.\n2. Compute m using m = y + 19, which gives m = 32.\n3. Compute x using x = m + 1, which gives x = 33.\n4. Compute s using s = x + 14, which gives s = 47.\n5. Compute h using h = s + 18, which gives h = 65.\n6. Compute b using b = h + 17, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 335,
"question": "Consider a system of variables where each variable is defined as follows: j = r + 8; y = r + 9; a = w + 5; b = h + 17; t = j + 19; f = t + 20; m = y + 19; r = 4; i = a + 7; s = x + 14; h = s + 18; x = m + 1; w = f + 9. If r = 4, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"q": "m + 17", "v": "q + 2", "o": "v + 13", "k": "o + 16", "d": "k + 14", "p": "d + 2", "f": "m + 20", "e": "f + 7", "l": "e + 17", "u": "l + 13", "t": "u + 17", "n": "t + 19", "m": 12}, "premises": {"m": 12}, "target": "p"}, "answer": {"steps": [["q", "m + 17", 29], ["v", "q + 2", 31], ["o", "v + 13", 44], ["k", "o + 16", 60], ["d", "k + 14", 74], ["p", "d + 2", 76]], "target_var_name": "p", "target_value": 76, "value_dict": {"m": 12, "q": 29, "v": 31, "o": 44, "k": 60, "d": 74, "p": 76}, "is_reverse": false}} | 336 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = v + 13; q = m + 17; u = l + 13; p = d + 2; e = f + 7; t = u + 17; n = t + 19; m = 12; f = m + 20; d = k + 14; v = q + 2; l = e + 17; k = o + 16. Given that m = 12, find the 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. Compute q using q = m + 17, which gives q = 29.\n2. Compute v using v = q + 2, which gives v = 31.\n3. Compute o using o = v + 13, which gives o = 44.\n4. Compute k using k = o + 16, which gives k = 60.\n5. Compute d using d = k + 14, which gives d = 74.\n6. Compute p using p = d + 2, which gives p = 76.\n\nThus, the final answer is p = \\boxed{76}.",
"index": 336,
"question": "Suppose a collection of variables is related by the following definitions: o = v + 13; q = m + 17; u = l + 13; p = d + 2; e = f + 7; t = u + 17; n = t + 19; m = 12; f = m + 20; d = k + 14; v = q + 2; l = e + 17; k = o + 16. Given that m = 12, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"a": "w + 4", "z": "a + 9", "t": "z + 7", "c": "t + 15", "f": "c + 11", "y": "f + 9", "b": "w + 6", "p": "b + 13", "j": "p + 12", "r": "j + 5", "o": "r + 1", "e": "o + 4", "w": 15}, "premises": {"w": 15}, "target": "y"}, "answer": {"steps": [["f", "c + 11", "c + 20"], ["c", "t + 15", "t + 35"], ["t", "z + 7", "z + 42"], ["z", "a + 9", "a + 51"], ["a", "w + 4", "w + 55"], ["w", 15, "70"]], "target_var_name": "y", "target_value": 70, "value_dict": {"w": 15}, "is_reverse": true}} | 337 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = 15; j = p + 12; z = a + 9; e = o + 4; a = w + 4; y = f + 9; o = r + 1; p = b + 13; r = j + 5; f = c + 11; t = z + 7; c = t + 15; b = w + 6. If w = 15, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 11 to y, which gives y = c + 20.\n2. Substitute c = t + 15 to y, which gives y = t + 35.\n3. Substitute t = z + 7 to y, which gives y = z + 42.\n4. Substitute z = a + 9 to y, which gives y = a + 51.\n5. Substitute a = w + 4 to y, which gives y = w + 55.\n6. Substitute w = 15 to y, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 337,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 15; j = p + 12; z = a + 9; e = o + 4; a = w + 4; y = f + 9; o = r + 1; p = b + 13; r = j + 5; f = c + 11; t = z + 7; c = t + 15; b = w + 6. If w = 15, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 2", "x": "h + 3", "b": "x + 18", "a": "b + 2", "d": "a + 6", "p": "d + 1", "t": "j + 6", "q": "t + 13", "n": "q + 1", "g": "n + 6", "w": "g + 9", "o": "w + 12", "j": 6}, "premises": {"j": 6}, "target": "p"}, "answer": {"steps": [["d", "a + 6", "a + 7"], ["a", "b + 2", "b + 9"], ["b", "x + 18", "x + 27"], ["x", "h + 3", "h + 30"], ["h", "j + 2", "j + 32"], ["j", 6, "38"]], "target_var_name": "p", "target_value": 38, "value_dict": {"j": 6}, "is_reverse": true}} | 338 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = w + 12; j = 6; q = t + 13; p = d + 1; a = b + 2; n = q + 1; x = h + 3; t = j + 6; d = a + 6; h = j + 2; w = g + 9; g = n + 6; b = x + 18. Given that j = 6, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 38,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 6 to p, which gives p = a + 7.\n2. Substitute a = b + 2 to p, which gives p = b + 9.\n3. Substitute b = x + 18 to p, which gives p = x + 27.\n4. Substitute x = h + 3 to p, which gives p = h + 30.\n5. Substitute h = j + 2 to p, which gives p = j + 32.\n6. Substitute j = 6 to p, which gives p = 38.\n\nThus, the final answer is p = \\boxed{38}.",
"index": 338,
"question": "Suppose a collection of variables is related by the following definitions: o = w + 12; j = 6; q = t + 13; p = d + 1; a = b + 2; n = q + 1; x = h + 3; t = j + 6; d = a + 6; h = j + 2; w = g + 9; g = n + 6; b = x + 18. Given that j = 6, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 15", "e": "h + 2", "c": "e + 7", "b": "c + 15", "x": "b + 7", "s": "x + 3", "t": "q + 9", "w": "t + 4", "a": "w + 14", "o": "a + 19", "y": "o + 18", "p": "y + 19", "q": 11}, "premises": {"q": 11}, "target": "s"}, "answer": {"steps": [["x", "b + 7", "b + 10"], ["b", "c + 15", "c + 25"], ["c", "e + 7", "e + 32"], ["e", "h + 2", "h + 34"], ["h", "q + 15", "q + 49"], ["q", 11, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"q": 11}, "is_reverse": true}} | 339 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = w + 14; y = o + 18; w = t + 4; e = h + 2; h = q + 15; c = e + 7; q = 11; b = c + 15; p = y + 19; x = b + 7; o = a + 19; s = x + 3; t = q + 9. If q = 11, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 7 to s, which gives s = b + 10.\n2. Substitute b = c + 15 to s, which gives s = c + 25.\n3. Substitute c = e + 7 to s, which gives s = e + 32.\n4. Substitute e = h + 2 to s, which gives s = h + 34.\n5. Substitute h = q + 15 to s, which gives s = q + 49.\n6. Substitute q = 11 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 339,
"question": "Consider a system of variables where each variable is defined as follows: a = w + 14; y = o + 18; w = t + 4; e = h + 2; h = q + 15; c = e + 7; q = 11; b = c + 15; p = y + 19; x = b + 7; o = a + 19; s = x + 3; t = q + 9. If q = 11, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 7", "f": "a + 19", "d": "f + 15", "o": "d + 13", "z": "o + 20", "i": "z + 16", "c": "r + 17", "q": "c + 6", "t": "q + 9", "j": "t + 13", "w": "j + 20", "g": "w + 18", "r": 12}, "premises": {"r": 12}, "target": "i"}, "answer": {"steps": [["a", "r + 7", 19], ["f", "a + 19", 38], ["d", "f + 15", 53], ["o", "d + 13", 66], ["z", "o + 20", 86], ["i", "z + 16", 102]], "target_var_name": "i", "target_value": 102, "value_dict": {"r": 12, "a": 19, "f": 38, "d": 53, "o": 66, "z": 86, "i": 102}, "is_reverse": false}} | 340 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = q + 9; d = f + 15; g = w + 18; o = d + 13; r = 12; c = r + 17; f = a + 19; z = o + 20; j = t + 13; i = z + 16; q = c + 6; w = j + 20; a = r + 7. If r = 12, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = r + 7, which gives a = 19.\n2. Compute f using f = a + 19, which gives f = 38.\n3. Compute d using d = f + 15, which gives d = 53.\n4. Compute o using o = d + 13, which gives o = 66.\n5. Compute z using z = o + 20, which gives z = 86.\n6. Compute i using i = z + 16, which gives i = 102.\n\nThus, the final answer is i = \\boxed{102}.",
"index": 340,
"question": "Consider a system of variables where each variable is defined as follows: t = q + 9; d = f + 15; g = w + 18; o = d + 13; r = 12; c = r + 17; f = a + 19; z = o + 20; j = t + 13; i = z + 16; q = c + 6; w = j + 20; a = r + 7. If r = 12, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 1", "y": "s + 6", "r": "y + 9", "v": "r + 9", "w": "v + 8", "c": "w + 12", "m": "k + 14", "f": "m + 5", "g": "f + 12", "n": "g + 20", "q": "n + 14", "i": "q + 6", "k": 10}, "premises": {"k": 10}, "target": "c"}, "answer": {"steps": [["w", "v + 8", "v + 20"], ["v", "r + 9", "r + 29"], ["r", "y + 9", "y + 38"], ["y", "s + 6", "s + 44"], ["s", "k + 1", "k + 45"], ["k", 10, "55"]], "target_var_name": "c", "target_value": 55, "value_dict": {"k": 10}, "is_reverse": true}} | 341 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 14; m = k + 14; c = w + 12; f = m + 5; v = r + 9; k = 10; w = v + 8; r = y + 9; n = g + 20; s = k + 1; i = q + 6; y = s + 6; g = f + 12. If k = 10, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 8 to c, which gives c = v + 20.\n2. Substitute v = r + 9 to c, which gives c = r + 29.\n3. Substitute r = y + 9 to c, which gives c = y + 38.\n4. Substitute y = s + 6 to c, which gives c = s + 44.\n5. Substitute s = k + 1 to c, which gives c = k + 45.\n6. Substitute k = 10 to c, which gives c = 55.\n\nThus, the final answer is c = \\boxed{55}.",
"index": 341,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 14; m = k + 14; c = w + 12; f = m + 5; v = r + 9; k = 10; w = v + 8; r = y + 9; n = g + 20; s = k + 1; i = q + 6; y = s + 6; g = f + 12. If k = 10, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 10", "f": "m + 6", "x": "f + 7", "k": "x + 14", "t": "k + 2", "c": "t + 2", "z": "w + 8", "j": "z + 8", "p": "j + 13", "i": "p + 6", "q": "i + 8", "u": "q + 7", "w": 19}, "premises": {"w": 19}, "target": "c"}, "answer": {"steps": [["t", "k + 2", "k + 4"], ["k", "x + 14", "x + 18"], ["x", "f + 7", "f + 25"], ["f", "m + 6", "m + 31"], ["m", "w + 10", "w + 41"], ["w", 19, "60"]], "target_var_name": "c", "target_value": 60, "value_dict": {"w": 19}, "is_reverse": true}} | 342 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = x + 14; i = p + 6; p = j + 13; z = w + 8; w = 19; m = w + 10; c = t + 2; u = q + 7; q = i + 8; j = z + 8; f = m + 6; t = k + 2; x = f + 7. If w = 19, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 2 to c, which gives c = k + 4.\n2. Substitute k = x + 14 to c, which gives c = x + 18.\n3. Substitute x = f + 7 to c, which gives c = f + 25.\n4. Substitute f = m + 6 to c, which gives c = m + 31.\n5. Substitute m = w + 10 to c, which gives c = w + 41.\n6. Substitute w = 19 to c, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 342,
"question": "Consider a system of variables where each variable is defined as follows: k = x + 14; i = p + 6; p = j + 13; z = w + 8; w = 19; m = w + 10; c = t + 2; u = q + 7; q = i + 8; j = z + 8; f = m + 6; t = k + 2; x = f + 7. If w = 19, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"g": "b + 13", "w": "g + 5", "h": "w + 16", "k": "h + 13", "y": "k + 3", "s": "y + 11", "a": "b + 14", "i": "a + 11", "q": "i + 7", "v": "q + 10", "c": "v + 19", "f": "c + 8", "b": 8}, "premises": {"b": 8}, "target": "s"}, "answer": {"steps": [["y", "k + 3", "k + 14"], ["k", "h + 13", "h + 27"], ["h", "w + 16", "w + 43"], ["w", "g + 5", "g + 48"], ["g", "b + 13", "b + 61"], ["b", 8, "69"]], "target_var_name": "s", "target_value": 69, "value_dict": {"b": 8}, "is_reverse": true}} | 343 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = k + 3; h = w + 16; i = a + 11; b = 8; k = h + 13; f = c + 8; v = q + 10; s = y + 11; g = b + 13; a = b + 14; w = g + 5; q = i + 7; c = v + 19. If b = 8, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 3 to s, which gives s = k + 14.\n2. Substitute k = h + 13 to s, which gives s = h + 27.\n3. Substitute h = w + 16 to s, which gives s = w + 43.\n4. Substitute w = g + 5 to s, which gives s = g + 48.\n5. Substitute g = b + 13 to s, which gives s = b + 61.\n6. Substitute b = 8 to s, which gives s = 69.\n\nThus, the final answer is s = \\boxed{69}.",
"index": 343,
"question": "Consider a system of variables where each variable is defined as follows: y = k + 3; h = w + 16; i = a + 11; b = 8; k = h + 13; f = c + 8; v = q + 10; s = y + 11; g = b + 13; a = b + 14; w = g + 5; q = i + 7; c = v + 19. If b = 8, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 16", "z": "r + 14", "k": "z + 14", "l": "k + 7", "e": "l + 8", "n": "e + 7", "f": "g + 19", "d": "f + 19", "w": "d + 1", "y": "w + 20", "q": "y + 17", "v": "q + 20", "g": 7}, "premises": {"g": 7}, "target": "n"}, "answer": {"steps": [["r", "g + 16", 23], ["z", "r + 14", 37], ["k", "z + 14", 51], ["l", "k + 7", 58], ["e", "l + 8", 66], ["n", "e + 7", 73]], "target_var_name": "n", "target_value": 73, "value_dict": {"g": 7, "r": 23, "z": 37, "k": 51, "l": 58, "e": 66, "n": 73}, "is_reverse": false}} | 344 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = f + 19; y = w + 20; w = d + 1; n = e + 7; v = q + 20; e = l + 8; l = k + 7; f = g + 19; z = r + 14; k = z + 14; r = g + 16; q = y + 17; g = 7. If g = 7, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = g + 16, which gives r = 23.\n2. Compute z using z = r + 14, which gives z = 37.\n3. Compute k using k = z + 14, which gives k = 51.\n4. Compute l using l = k + 7, which gives l = 58.\n5. Compute e using e = l + 8, which gives e = 66.\n6. Compute n using n = e + 7, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 344,
"question": "Consider a system of variables where each variable is defined as follows: d = f + 19; y = w + 20; w = d + 1; n = e + 7; v = q + 20; e = l + 8; l = k + 7; f = g + 19; z = r + 14; k = z + 14; r = g + 16; q = y + 17; g = 7. If g = 7, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 13", "y": "d + 5", "s": "y + 13", "f": "s + 19", "o": "f + 10", "t": "o + 9", "u": "j + 13", "l": "u + 9", "a": "l + 19", "w": "a + 15", "z": "w + 16", "q": "z + 8", "j": 5}, "premises": {"j": 5}, "target": "t"}, "answer": {"steps": [["o", "f + 10", "f + 19"], ["f", "s + 19", "s + 38"], ["s", "y + 13", "y + 51"], ["y", "d + 5", "d + 56"], ["d", "j + 13", "j + 69"], ["j", 5, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"j": 5}, "is_reverse": true}} | 345 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = y + 13; f = s + 19; d = j + 13; q = z + 8; a = l + 19; u = j + 13; z = w + 16; l = u + 9; w = a + 15; y = d + 5; o = f + 10; j = 5; t = o + 9. Given that j = 5, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 10 to t, which gives t = f + 19.\n2. Substitute f = s + 19 to t, which gives t = s + 38.\n3. Substitute s = y + 13 to t, which gives t = y + 51.\n4. Substitute y = d + 5 to t, which gives t = d + 56.\n5. Substitute d = j + 13 to t, which gives t = j + 69.\n6. Substitute j = 5 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 345,
"question": "Suppose a collection of variables is related by the following definitions: s = y + 13; f = s + 19; d = j + 13; q = z + 8; a = l + 19; u = j + 13; z = w + 16; l = u + 9; w = a + 15; y = d + 5; o = f + 10; j = 5; t = o + 9. Given that j = 5, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 19", "c": "r + 12", "u": "c + 11", "o": "u + 4", "m": "o + 8", "p": "m + 12", "t": "y + 12", "d": "t + 11", "a": "d + 13", "l": "a + 10", "v": "l + 20", "k": "v + 18", "y": 2}, "premises": {"y": 2}, "target": "p"}, "answer": {"steps": [["r", "y + 19", 21], ["c", "r + 12", 33], ["u", "c + 11", 44], ["o", "u + 4", 48], ["m", "o + 8", 56], ["p", "m + 12", 68]], "target_var_name": "p", "target_value": 68, "value_dict": {"y": 2, "r": 21, "c": 33, "u": 44, "o": 48, "m": 56, "p": 68}, "is_reverse": false}} | 346 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = t + 11; m = o + 8; u = c + 11; c = r + 12; y = 2; a = d + 13; p = m + 12; o = u + 4; l = a + 10; r = y + 19; v = l + 20; k = v + 18; t = y + 12. If y = 2, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = y + 19, which gives r = 21.\n2. Compute c using c = r + 12, which gives c = 33.\n3. Compute u using u = c + 11, which gives u = 44.\n4. Compute o using o = u + 4, which gives o = 48.\n5. Compute m using m = o + 8, which gives m = 56.\n6. Compute p using p = m + 12, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 346,
"question": "Consider a system of variables where each variable is defined as follows: d = t + 11; m = o + 8; u = c + 11; c = r + 12; y = 2; a = d + 13; p = m + 12; o = u + 4; l = a + 10; r = y + 19; v = l + 20; k = v + 18; t = y + 12. If y = 2, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 4", "l": "s + 18", "y": "l + 13", "i": "y + 13", "t": "i + 2", "h": "t + 13", "b": "j + 14", "x": "b + 2", "d": "x + 16", "a": "d + 17", "v": "a + 10", "f": "v + 17", "j": 18}, "premises": {"j": 18}, "target": "h"}, "answer": {"steps": [["s", "j + 4", 22], ["l", "s + 18", 40], ["y", "l + 13", 53], ["i", "y + 13", 66], ["t", "i + 2", 68], ["h", "t + 13", 81]], "target_var_name": "h", "target_value": 81, "value_dict": {"j": 18, "s": 22, "l": 40, "y": 53, "i": 66, "t": 68, "h": 81}, "is_reverse": false}} | 347 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 17; i = y + 13; t = i + 2; y = l + 13; j = 18; h = t + 13; a = d + 17; x = b + 2; l = s + 18; d = x + 16; v = a + 10; s = j + 4; b = j + 14. If j = 18, what is the resulting 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. Compute s using s = j + 4, which gives s = 22.\n2. Compute l using l = s + 18, which gives l = 40.\n3. Compute y using y = l + 13, which gives y = 53.\n4. Compute i using i = y + 13, which gives i = 66.\n5. Compute t using t = i + 2, which gives t = 68.\n6. Compute h using h = t + 13, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 347,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 17; i = y + 13; t = i + 2; y = l + 13; j = 18; h = t + 13; a = d + 17; x = b + 2; l = s + 18; d = x + 16; v = a + 10; s = j + 4; b = j + 14. If j = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 19", "g": "t + 9", "k": "g + 13", "i": "k + 14", "o": "i + 19", "f": "o + 11", "j": "p + 12", "y": "j + 11", "u": "y + 3", "h": "u + 15", "s": "h + 1", "z": "s + 11", "p": 11}, "premises": {"p": 11}, "target": "f"}, "answer": {"steps": [["t", "p + 19", 30], ["g", "t + 9", 39], ["k", "g + 13", 52], ["i", "k + 14", 66], ["o", "i + 19", 85], ["f", "o + 11", 96]], "target_var_name": "f", "target_value": 96, "value_dict": {"p": 11, "t": 30, "g": 39, "k": 52, "i": 66, "o": 85, "f": 96}, "is_reverse": false}} | 348 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = i + 19; z = s + 11; y = j + 11; f = o + 11; k = g + 13; p = 11; u = y + 3; s = h + 1; h = u + 15; i = k + 14; g = t + 9; j = p + 12; t = p + 19. Given that p = 11, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = p + 19, which gives t = 30.\n2. Compute g using g = t + 9, which gives g = 39.\n3. Compute k using k = g + 13, which gives k = 52.\n4. Compute i using i = k + 14, which gives i = 66.\n5. Compute o using o = i + 19, which gives o = 85.\n6. Compute f using f = o + 11, which gives f = 96.\n\nThus, the final answer is f = \\boxed{96}.",
"index": 348,
"question": "Suppose a collection of variables is related by the following definitions: o = i + 19; z = s + 11; y = j + 11; f = o + 11; k = g + 13; p = 11; u = y + 3; s = h + 1; h = u + 15; i = k + 14; g = t + 9; j = p + 12; t = p + 19. Given that p = 11, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 14", "z": "v + 10", "m": "z + 5", "l": "m + 3", "d": "l + 19", "k": "d + 12", "i": "r + 14", "f": "i + 2", "p": "f + 1", "c": "p + 1", "e": "c + 10", "s": "e + 3", "r": 17}, "premises": {"r": 17}, "target": "k"}, "answer": {"steps": [["d", "l + 19", "l + 31"], ["l", "m + 3", "m + 34"], ["m", "z + 5", "z + 39"], ["z", "v + 10", "v + 49"], ["v", "r + 14", "r + 63"], ["r", 17, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"r": 17}, "is_reverse": true}} | 349 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = m + 3; v = r + 14; p = f + 1; m = z + 5; d = l + 19; i = r + 14; c = p + 1; e = c + 10; r = 17; z = v + 10; f = i + 2; s = e + 3; k = d + 12. If r = 17, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 19 to k, which gives k = l + 31.\n2. Substitute l = m + 3 to k, which gives k = m + 34.\n3. Substitute m = z + 5 to k, which gives k = z + 39.\n4. Substitute z = v + 10 to k, which gives k = v + 49.\n5. Substitute v = r + 14 to k, which gives k = r + 63.\n6. Substitute r = 17 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 349,
"question": "Consider a system of variables where each variable is defined as follows: l = m + 3; v = r + 14; p = f + 1; m = z + 5; d = l + 19; i = r + 14; c = p + 1; e = c + 10; r = 17; z = v + 10; f = i + 2; s = e + 3; k = d + 12. If r = 17, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 14", "e": "v + 3", "i": "e + 6", "x": "i + 15", "k": "x + 12", "w": "k + 17", "b": "n + 15", "o": "b + 16", "d": "o + 7", "m": "d + 8", "g": "m + 7", "f": "g + 13", "n": 16}, "premises": {"n": 16}, "target": "w"}, "answer": {"steps": [["k", "x + 12", "x + 29"], ["x", "i + 15", "i + 44"], ["i", "e + 6", "e + 50"], ["e", "v + 3", "v + 53"], ["v", "n + 14", "n + 67"], ["n", 16, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"n": 16}, "is_reverse": true}} | 350 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = m + 7; f = g + 13; x = i + 15; b = n + 15; m = d + 8; o = b + 16; e = v + 3; k = x + 12; i = e + 6; d = o + 7; w = k + 17; n = 16; v = n + 14. If n = 16, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 12 to w, which gives w = x + 29.\n2. Substitute x = i + 15 to w, which gives w = i + 44.\n3. Substitute i = e + 6 to w, which gives w = e + 50.\n4. Substitute e = v + 3 to w, which gives w = v + 53.\n5. Substitute v = n + 14 to w, which gives w = n + 67.\n6. Substitute n = 16 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 350,
"question": "Consider a system of variables where each variable is defined as follows: g = m + 7; f = g + 13; x = i + 15; b = n + 15; m = d + 8; o = b + 16; e = v + 3; k = x + 12; i = e + 6; d = o + 7; w = k + 17; n = 16; v = n + 14. If n = 16, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"m": "x + 18", "i": "m + 16", "n": "i + 9", "t": "n + 7", "r": "t + 12", "f": "r + 7", "j": "x + 19", "k": "j + 3", "a": "k + 2", "y": "a + 1", "u": "y + 19", "z": "u + 1", "x": 18}, "premises": {"x": 18}, "target": "f"}, "answer": {"steps": [["m", "x + 18", 36], ["i", "m + 16", 52], ["n", "i + 9", 61], ["t", "n + 7", 68], ["r", "t + 12", 80], ["f", "r + 7", 87]], "target_var_name": "f", "target_value": 87, "value_dict": {"x": 18, "m": 36, "i": 52, "n": 61, "t": 68, "r": 80, "f": 87}, "is_reverse": false}} | 351 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = a + 1; r = t + 12; k = j + 3; m = x + 18; j = x + 19; t = n + 7; a = k + 2; f = r + 7; n = i + 9; x = 18; u = y + 19; i = m + 16; z = u + 1. Given that x = 18, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = x + 18, which gives m = 36.\n2. Compute i using i = m + 16, which gives i = 52.\n3. Compute n using n = i + 9, which gives n = 61.\n4. Compute t using t = n + 7, which gives t = 68.\n5. Compute r using r = t + 12, which gives r = 80.\n6. Compute f using f = r + 7, which gives f = 87.\n\nThus, the final answer is f = \\boxed{87}.",
"index": 351,
"question": "Suppose a collection of variables is related by the following definitions: y = a + 1; r = t + 12; k = j + 3; m = x + 18; j = x + 19; t = n + 7; a = k + 2; f = r + 7; n = i + 9; x = 18; u = y + 19; i = m + 16; z = u + 1. Given that x = 18, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 15", "p": "r + 18", "m": "p + 18", "i": "m + 13", "c": "i + 18", "e": "c + 6", "b": "n + 13", "t": "b + 4", "k": "t + 2", "d": "k + 20", "u": "d + 12", "g": "u + 3", "n": 9}, "premises": {"n": 9}, "target": "e"}, "answer": {"steps": [["r", "n + 15", 24], ["p", "r + 18", 42], ["m", "p + 18", 60], ["i", "m + 13", 73], ["c", "i + 18", 91], ["e", "c + 6", 97]], "target_var_name": "e", "target_value": 97, "value_dict": {"n": 9, "r": 24, "p": 42, "m": 60, "i": 73, "c": 91, "e": 97}, "is_reverse": false}} | 352 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = r + 18; m = p + 18; n = 9; e = c + 6; u = d + 12; r = n + 15; d = k + 20; g = u + 3; t = b + 4; b = n + 13; k = t + 2; c = i + 18; i = m + 13. If n = 9, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = n + 15, which gives r = 24.\n2. Compute p using p = r + 18, which gives p = 42.\n3. Compute m using m = p + 18, which gives m = 60.\n4. Compute i using i = m + 13, which gives i = 73.\n5. Compute c using c = i + 18, which gives c = 91.\n6. Compute e using e = c + 6, which gives e = 97.\n\nThus, the final answer is e = \\boxed{97}.",
"index": 352,
"question": "Consider a system of variables where each variable is defined as follows: p = r + 18; m = p + 18; n = 9; e = c + 6; u = d + 12; r = n + 15; d = k + 20; g = u + 3; t = b + 4; b = n + 13; k = t + 2; c = i + 18; i = m + 13. If n = 9, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 11", "x": "h + 9", "z": "x + 13", "s": "z + 7", "c": "s + 9", "a": "c + 13", "u": "v + 11", "n": "u + 6", "i": "n + 3", "f": "i + 15", "t": "f + 1", "b": "t + 14", "v": 17}, "premises": {"v": 17}, "target": "a"}, "answer": {"steps": [["c", "s + 9", "s + 22"], ["s", "z + 7", "z + 29"], ["z", "x + 13", "x + 42"], ["x", "h + 9", "h + 51"], ["h", "v + 11", "v + 62"], ["v", 17, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"v": 17}, "is_reverse": true}} | 353 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = u + 6; v = 17; t = f + 1; c = s + 9; f = i + 15; s = z + 7; x = h + 9; h = v + 11; a = c + 13; b = t + 14; u = v + 11; z = x + 13; i = n + 3. If v = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 9 to a, which gives a = s + 22.\n2. Substitute s = z + 7 to a, which gives a = z + 29.\n3. Substitute z = x + 13 to a, which gives a = x + 42.\n4. Substitute x = h + 9 to a, which gives a = h + 51.\n5. Substitute h = v + 11 to a, which gives a = v + 62.\n6. Substitute v = 17 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 353,
"question": "Consider a system of variables where each variable is defined as follows: n = u + 6; v = 17; t = f + 1; c = s + 9; f = i + 15; s = z + 7; x = h + 9; h = v + 11; a = c + 13; b = t + 14; u = v + 11; z = x + 13; i = n + 3. If v = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 6", "a": "f + 12", "l": "a + 9", "w": "l + 12", "s": "w + 3", "x": "s + 14", "c": "h + 19", "z": "c + 12", "p": "z + 13", "d": "p + 7", "v": "d + 17", "j": "v + 19", "h": 4}, "premises": {"h": 4}, "target": "x"}, "answer": {"steps": [["s", "w + 3", "w + 17"], ["w", "l + 12", "l + 29"], ["l", "a + 9", "a + 38"], ["a", "f + 12", "f + 50"], ["f", "h + 6", "h + 56"], ["h", 4, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"h": 4}, "is_reverse": true}} | 354 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = s + 14; f = h + 6; h = 4; j = v + 19; c = h + 19; d = p + 7; a = f + 12; p = z + 13; w = l + 12; s = w + 3; v = d + 17; l = a + 9; z = c + 12. If h = 4, what is the resulting 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 s = w + 3 to x, which gives x = w + 17.\n2. Substitute w = l + 12 to x, which gives x = l + 29.\n3. Substitute l = a + 9 to x, which gives x = a + 38.\n4. Substitute a = f + 12 to x, which gives x = f + 50.\n5. Substitute f = h + 6 to x, which gives x = h + 56.\n6. Substitute h = 4 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 354,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = s + 14; f = h + 6; h = 4; j = v + 19; c = h + 19; d = p + 7; a = f + 12; p = z + 13; w = l + 12; s = w + 3; v = d + 17; l = a + 9; z = c + 12. If h = 4, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"p": "v + 9", "n": "p + 7", "u": "n + 12", "q": "u + 9", "s": "q + 6", "l": "s + 20", "d": "v + 16", "w": "d + 11", "b": "w + 18", "h": "b + 6", "f": "h + 10", "j": "f + 20", "v": 11}, "premises": {"v": 11}, "target": "l"}, "answer": {"steps": [["s", "q + 6", "q + 26"], ["q", "u + 9", "u + 35"], ["u", "n + 12", "n + 47"], ["n", "p + 7", "p + 54"], ["p", "v + 9", "v + 63"], ["v", 11, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"v": 11}, "is_reverse": true}} | 355 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = f + 20; s = q + 6; p = v + 9; u = n + 12; b = w + 18; h = b + 6; d = v + 16; w = d + 11; q = u + 9; v = 11; l = s + 20; n = p + 7; f = h + 10. Given that v = 11, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 6 to l, which gives l = q + 26.\n2. Substitute q = u + 9 to l, which gives l = u + 35.\n3. Substitute u = n + 12 to l, which gives l = n + 47.\n4. Substitute n = p + 7 to l, which gives l = p + 54.\n5. Substitute p = v + 9 to l, which gives l = v + 63.\n6. Substitute v = 11 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 355,
"question": "Suppose a collection of variables is related by the following definitions: j = f + 20; s = q + 6; p = v + 9; u = n + 12; b = w + 18; h = b + 6; d = v + 16; w = d + 11; q = u + 9; v = 11; l = s + 20; n = p + 7; f = h + 10. Given that v = 11, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"w": "v + 16", "j": "w + 13", "t": "j + 9", "g": "t + 18", "h": "g + 13", "d": "h + 2", "q": "v + 10", "f": "q + 2", "b": "f + 19", "u": "b + 13", "s": "u + 2", "c": "s + 4", "v": 20}, "premises": {"v": 20}, "target": "d"}, "answer": {"steps": [["h", "g + 13", "g + 15"], ["g", "t + 18", "t + 33"], ["t", "j + 9", "j + 42"], ["j", "w + 13", "w + 55"], ["w", "v + 16", "v + 71"], ["v", 20, "91"]], "target_var_name": "d", "target_value": 91, "value_dict": {"v": 20}, "is_reverse": true}} | 356 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = q + 2; d = h + 2; c = s + 4; s = u + 2; j = w + 13; w = v + 16; h = g + 13; q = v + 10; t = j + 9; g = t + 18; u = b + 13; b = f + 19; v = 20. If v = 20, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 13 to d, which gives d = g + 15.\n2. Substitute g = t + 18 to d, which gives d = t + 33.\n3. Substitute t = j + 9 to d, which gives d = j + 42.\n4. Substitute j = w + 13 to d, which gives d = w + 55.\n5. Substitute w = v + 16 to d, which gives d = v + 71.\n6. Substitute v = 20 to d, which gives d = 91.\n\nThus, the final answer is d = \\boxed{91}.",
"index": 356,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = q + 2; d = h + 2; c = s + 4; s = u + 2; j = w + 13; w = v + 16; h = g + 13; q = v + 10; t = j + 9; g = t + 18; u = b + 13; b = f + 19; v = 20. If v = 20, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 15", "u": "r + 1", "l": "u + 10", "p": "l + 9", "j": "p + 10", "m": "j + 8", "e": "c + 18", "g": "e + 8", "q": "g + 8", "s": "q + 9", "t": "s + 20", "a": "t + 2", "c": 7}, "premises": {"c": 7}, "target": "m"}, "answer": {"steps": [["r", "c + 15", 22], ["u", "r + 1", 23], ["l", "u + 10", 33], ["p", "l + 9", 42], ["j", "p + 10", 52], ["m", "j + 8", 60]], "target_var_name": "m", "target_value": 60, "value_dict": {"c": 7, "r": 22, "u": 23, "l": 33, "p": 42, "j": 52, "m": 60}, "is_reverse": false}} | 357 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = t + 2; g = e + 8; j = p + 10; e = c + 18; m = j + 8; s = q + 9; l = u + 10; q = g + 8; u = r + 1; r = c + 15; p = l + 9; c = 7; t = s + 20. Given that c = 7, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = c + 15, which gives r = 22.\n2. Compute u using u = r + 1, which gives u = 23.\n3. Compute l using l = u + 10, which gives l = 33.\n4. Compute p using p = l + 9, which gives p = 42.\n5. Compute j using j = p + 10, which gives j = 52.\n6. Compute m using m = j + 8, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 357,
"question": "Suppose a collection of variables is related by the following definitions: a = t + 2; g = e + 8; j = p + 10; e = c + 18; m = j + 8; s = q + 9; l = u + 10; q = g + 8; u = r + 1; r = c + 15; p = l + 9; c = 7; t = s + 20. Given that c = 7, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 19", "i": "m + 11", "j": "i + 9", "g": "j + 3", "p": "g + 11", "e": "p + 4", "a": "l + 12", "c": "a + 13", "q": "c + 8", "o": "q + 14", "u": "o + 16", "r": "u + 1", "l": 20}, "premises": {"l": 20}, "target": "e"}, "answer": {"steps": [["m", "l + 19", 39], ["i", "m + 11", 50], ["j", "i + 9", 59], ["g", "j + 3", 62], ["p", "g + 11", 73], ["e", "p + 4", 77]], "target_var_name": "e", "target_value": 77, "value_dict": {"l": 20, "m": 39, "i": 50, "j": 59, "g": 62, "p": 73, "e": 77}, "is_reverse": false}} | 358 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = a + 13; p = g + 11; r = u + 1; e = p + 4; a = l + 12; i = m + 11; g = j + 3; o = q + 14; q = c + 8; j = i + 9; l = 20; m = l + 19; u = o + 16. If l = 20, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = l + 19, which gives m = 39.\n2. Compute i using i = m + 11, which gives i = 50.\n3. Compute j using j = i + 9, which gives j = 59.\n4. Compute g using g = j + 3, which gives g = 62.\n5. Compute p using p = g + 11, which gives p = 73.\n6. Compute e using e = p + 4, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 358,
"question": "Consider a system of variables where each variable is defined as follows: c = a + 13; p = g + 11; r = u + 1; e = p + 4; a = l + 12; i = m + 11; g = j + 3; o = q + 14; q = c + 8; j = i + 9; l = 20; m = l + 19; u = o + 16. If l = 20, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"j": "s + 11", "c": "j + 8", "v": "c + 10", "o": "v + 8", "w": "o + 10", "h": "w + 15", "q": "s + 17", "i": "q + 20", "l": "i + 1", "p": "l + 16", "t": "p + 6", "e": "t + 7", "s": 18}, "premises": {"s": 18}, "target": "h"}, "answer": {"steps": [["j", "s + 11", 29], ["c", "j + 8", 37], ["v", "c + 10", 47], ["o", "v + 8", 55], ["w", "o + 10", 65], ["h", "w + 15", 80]], "target_var_name": "h", "target_value": 80, "value_dict": {"s": 18, "j": 29, "c": 37, "v": 47, "o": 55, "w": 65, "h": 80}, "is_reverse": false}} | 359 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = c + 10; q = s + 17; w = o + 10; t = p + 6; o = v + 8; p = l + 16; h = w + 15; e = t + 7; j = s + 11; i = q + 20; c = j + 8; l = i + 1; s = 18. Given that s = 18, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = s + 11, which gives j = 29.\n2. Compute c using c = j + 8, which gives c = 37.\n3. Compute v using v = c + 10, which gives v = 47.\n4. Compute o using o = v + 8, which gives o = 55.\n5. Compute w using w = o + 10, which gives w = 65.\n6. Compute h using h = w + 15, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 359,
"question": "Suppose a collection of variables is related by the following definitions: v = c + 10; q = s + 17; w = o + 10; t = p + 6; o = v + 8; p = l + 16; h = w + 15; e = t + 7; j = s + 11; i = q + 20; c = j + 8; l = i + 1; s = 18. Given that s = 18, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"i": "d + 20", "k": "i + 19", "l": "k + 12", "g": "l + 8", "f": "g + 9", "m": "f + 1", "w": "d + 16", "c": "w + 2", "h": "c + 20", "y": "h + 15", "u": "y + 14", "r": "u + 19", "d": 8}, "premises": {"d": 8}, "target": "m"}, "answer": {"steps": [["i", "d + 20", 28], ["k", "i + 19", 47], ["l", "k + 12", 59], ["g", "l + 8", 67], ["f", "g + 9", 76], ["m", "f + 1", 77]], "target_var_name": "m", "target_value": 77, "value_dict": {"d": 8, "i": 28, "k": 47, "l": 59, "g": 67, "f": 76, "m": 77}, "is_reverse": false}} | 360 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = w + 2; g = l + 8; k = i + 19; f = g + 9; l = k + 12; u = y + 14; r = u + 19; d = 8; i = d + 20; y = h + 15; h = c + 20; m = f + 1; w = d + 16. If d = 8, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = d + 20, which gives i = 28.\n2. Compute k using k = i + 19, which gives k = 47.\n3. Compute l using l = k + 12, which gives l = 59.\n4. Compute g using g = l + 8, which gives g = 67.\n5. Compute f using f = g + 9, which gives f = 76.\n6. Compute m using m = f + 1, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 360,
"question": "Consider a system of variables where each variable is defined as follows: c = w + 2; g = l + 8; k = i + 19; f = g + 9; l = k + 12; u = y + 14; r = u + 19; d = 8; i = d + 20; y = h + 15; h = c + 20; m = f + 1; w = d + 16. If d = 8, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 10", "y": "m + 17", "z": "y + 4", "x": "z + 2", "u": "x + 12", "h": "u + 5", "t": "g + 18", "i": "t + 17", "b": "i + 12", "n": "b + 11", "v": "n + 15", "e": "v + 3", "g": 12}, "premises": {"g": 12}, "target": "h"}, "answer": {"steps": [["m", "g + 10", 22], ["y", "m + 17", 39], ["z", "y + 4", 43], ["x", "z + 2", 45], ["u", "x + 12", 57], ["h", "u + 5", 62]], "target_var_name": "h", "target_value": 62, "value_dict": {"g": 12, "m": 22, "y": 39, "z": 43, "x": 45, "u": 57, "h": 62}, "is_reverse": false}} | 361 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = x + 12; e = v + 3; n = b + 11; v = n + 15; i = t + 17; y = m + 17; z = y + 4; g = 12; b = i + 12; t = g + 18; m = g + 10; h = u + 5; x = z + 2. If g = 12, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = g + 10, which gives m = 22.\n2. Compute y using y = m + 17, which gives y = 39.\n3. Compute z using z = y + 4, which gives z = 43.\n4. Compute x using x = z + 2, which gives x = 45.\n5. Compute u using u = x + 12, which gives u = 57.\n6. Compute h using h = u + 5, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 361,
"question": "Consider a system of variables where each variable is defined as follows: u = x + 12; e = v + 3; n = b + 11; v = n + 15; i = t + 17; y = m + 17; z = y + 4; g = 12; b = i + 12; t = g + 18; m = g + 10; h = u + 5; x = z + 2. If g = 12, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 15", "x": "m + 10", "t": "x + 7", "n": "t + 15", "e": "n + 2", "k": "e + 9", "i": "s + 5", "q": "i + 20", "z": "q + 19", "l": "z + 11", "h": "l + 8", "w": "h + 13", "s": 11}, "premises": {"s": 11}, "target": "k"}, "answer": {"steps": [["m", "s + 15", 26], ["x", "m + 10", 36], ["t", "x + 7", 43], ["n", "t + 15", 58], ["e", "n + 2", 60], ["k", "e + 9", 69]], "target_var_name": "k", "target_value": 69, "value_dict": {"s": 11, "m": 26, "x": 36, "t": 43, "n": 58, "e": 60, "k": 69}, "is_reverse": false}} | 362 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = s + 15; s = 11; w = h + 13; t = x + 7; z = q + 19; l = z + 11; q = i + 20; n = t + 15; x = m + 10; i = s + 5; h = l + 8; e = n + 2; k = e + 9. Given that s = 11, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = s + 15, which gives m = 26.\n2. Compute x using x = m + 10, which gives x = 36.\n3. Compute t using t = x + 7, which gives t = 43.\n4. Compute n using n = t + 15, which gives n = 58.\n5. Compute e using e = n + 2, which gives e = 60.\n6. Compute k using k = e + 9, which gives k = 69.\n\nThus, the final answer is k = \\boxed{69}.",
"index": 362,
"question": "Suppose a collection of variables is related by the following definitions: m = s + 15; s = 11; w = h + 13; t = x + 7; z = q + 19; l = z + 11; q = i + 20; n = t + 15; x = m + 10; i = s + 5; h = l + 8; e = n + 2; k = e + 9. Given that s = 11, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 3", "n": "o + 7", "b": "n + 9", "g": "b + 13", "d": "g + 4", "y": "d + 16", "a": "m + 12", "q": "a + 7", "u": "q + 12", "f": "u + 5", "r": "f + 8", "h": "r + 15", "m": 8}, "premises": {"m": 8}, "target": "y"}, "answer": {"steps": [["d", "g + 4", "g + 20"], ["g", "b + 13", "b + 33"], ["b", "n + 9", "n + 42"], ["n", "o + 7", "o + 49"], ["o", "m + 3", "m + 52"], ["m", 8, "60"]], "target_var_name": "y", "target_value": 60, "value_dict": {"m": 8}, "is_reverse": true}} | 363 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 7; n = o + 7; b = n + 9; o = m + 3; f = u + 5; r = f + 8; d = g + 4; y = d + 16; m = 8; h = r + 15; u = q + 12; a = m + 12; g = b + 13. If m = 8, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 4 to y, which gives y = g + 20.\n2. Substitute g = b + 13 to y, which gives y = b + 33.\n3. Substitute b = n + 9 to y, which gives y = n + 42.\n4. Substitute n = o + 7 to y, which gives y = o + 49.\n5. Substitute o = m + 3 to y, which gives y = m + 52.\n6. Substitute m = 8 to y, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 363,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 7; n = o + 7; b = n + 9; o = m + 3; f = u + 5; r = f + 8; d = g + 4; y = d + 16; m = 8; h = r + 15; u = q + 12; a = m + 12; g = b + 13. If m = 8, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 15", "n": "m + 7", "k": "n + 17", "u": "k + 1", "x": "u + 14", "s": "x + 17", "h": "c + 20", "i": "h + 9", "o": "i + 15", "l": "o + 20", "q": "l + 20", "t": "q + 10", "c": 13}, "premises": {"c": 13}, "target": "s"}, "answer": {"steps": [["x", "u + 14", "u + 31"], ["u", "k + 1", "k + 32"], ["k", "n + 17", "n + 49"], ["n", "m + 7", "m + 56"], ["m", "c + 15", "c + 71"], ["c", 13, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"c": 13}, "is_reverse": true}} | 364 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = i + 15; u = k + 1; n = m + 7; t = q + 10; i = h + 9; l = o + 20; m = c + 15; s = x + 17; h = c + 20; c = 13; k = n + 17; q = l + 20; x = u + 14. If c = 13, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 14 to s, which gives s = u + 31.\n2. Substitute u = k + 1 to s, which gives s = k + 32.\n3. Substitute k = n + 17 to s, which gives s = n + 49.\n4. Substitute n = m + 7 to s, which gives s = m + 56.\n5. Substitute m = c + 15 to s, which gives s = c + 71.\n6. Substitute c = 13 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 364,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = i + 15; u = k + 1; n = m + 7; t = q + 10; i = h + 9; l = o + 20; m = c + 15; s = x + 17; h = c + 20; c = 13; k = n + 17; q = l + 20; x = u + 14. If c = 13, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"f": "v + 5", "b": "f + 19", "o": "b + 8", "l": "o + 1", "i": "l + 8", "c": "i + 9", "j": "v + 15", "d": "j + 13", "k": "d + 2", "u": "k + 17", "h": "u + 19", "x": "h + 12", "v": 3}, "premises": {"v": 3}, "target": "c"}, "answer": {"steps": [["i", "l + 8", "l + 17"], ["l", "o + 1", "o + 18"], ["o", "b + 8", "b + 26"], ["b", "f + 19", "f + 45"], ["f", "v + 5", "v + 50"], ["v", 3, "53"]], "target_var_name": "c", "target_value": 53, "value_dict": {"v": 3}, "is_reverse": true}} | 365 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = v + 15; d = j + 13; x = h + 12; i = l + 8; l = o + 1; k = d + 2; f = v + 5; v = 3; h = u + 19; c = i + 9; o = b + 8; u = k + 17; b = f + 19. Given that v = 3, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 8 to c, which gives c = l + 17.\n2. Substitute l = o + 1 to c, which gives c = o + 18.\n3. Substitute o = b + 8 to c, which gives c = b + 26.\n4. Substitute b = f + 19 to c, which gives c = f + 45.\n5. Substitute f = v + 5 to c, which gives c = v + 50.\n6. Substitute v = 3 to c, which gives c = 53.\n\nThus, the final answer is c = \\boxed{53}.",
"index": 365,
"question": "Suppose a collection of variables is related by the following definitions: j = v + 15; d = j + 13; x = h + 12; i = l + 8; l = o + 1; k = d + 2; f = v + 5; v = 3; h = u + 19; c = i + 9; o = b + 8; u = k + 17; b = f + 19. Given that v = 3, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 6", "b": "p + 16", "n": "b + 1", "c": "n + 11", "h": "c + 5", "g": "h + 1", "t": "o + 2", "x": "t + 9", "j": "x + 11", "e": "j + 14", "w": "e + 4", "z": "w + 13", "o": 18}, "premises": {"o": 18}, "target": "g"}, "answer": {"steps": [["h", "c + 5", "c + 6"], ["c", "n + 11", "n + 17"], ["n", "b + 1", "b + 18"], ["b", "p + 16", "p + 34"], ["p", "o + 6", "o + 40"], ["o", 18, "58"]], "target_var_name": "g", "target_value": 58, "value_dict": {"o": 18}, "is_reverse": true}} | 366 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = o + 6; n = b + 1; t = o + 2; j = x + 11; g = h + 1; b = p + 16; z = w + 13; x = t + 9; h = c + 5; c = n + 11; w = e + 4; o = 18; e = j + 14. If o = 18, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 5 to g, which gives g = c + 6.\n2. Substitute c = n + 11 to g, which gives g = n + 17.\n3. Substitute n = b + 1 to g, which gives g = b + 18.\n4. Substitute b = p + 16 to g, which gives g = p + 34.\n5. Substitute p = o + 6 to g, which gives g = o + 40.\n6. Substitute o = 18 to g, which gives g = 58.\n\nThus, the final answer is g = \\boxed{58}.",
"index": 366,
"question": "Consider a system of variables where each variable is defined as follows: p = o + 6; n = b + 1; t = o + 2; j = x + 11; g = h + 1; b = p + 16; z = w + 13; x = t + 9; h = c + 5; c = n + 11; w = e + 4; o = 18; e = j + 14. If o = 18, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 9", "l": "s + 17", "m": "l + 13", "u": "m + 8", "z": "u + 11", "v": "z + 6", "q": "k + 16", "d": "q + 10", "g": "d + 14", "w": "g + 1", "h": "w + 19", "p": "h + 18", "k": 20}, "premises": {"k": 20}, "target": "v"}, "answer": {"steps": [["s", "k + 9", 29], ["l", "s + 17", 46], ["m", "l + 13", 59], ["u", "m + 8", 67], ["z", "u + 11", 78], ["v", "z + 6", 84]], "target_var_name": "v", "target_value": 84, "value_dict": {"k": 20, "s": 29, "l": 46, "m": 59, "u": 67, "z": 78, "v": 84}, "is_reverse": false}} | 367 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = u + 11; v = z + 6; m = l + 13; h = w + 19; u = m + 8; k = 20; s = k + 9; l = s + 17; w = g + 1; d = q + 10; g = d + 14; p = h + 18; q = k + 16. If k = 20, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = k + 9, which gives s = 29.\n2. Compute l using l = s + 17, which gives l = 46.\n3. Compute m using m = l + 13, which gives m = 59.\n4. Compute u using u = m + 8, which gives u = 67.\n5. Compute z using z = u + 11, which gives z = 78.\n6. Compute v using v = z + 6, which gives v = 84.\n\nThus, the final answer is v = \\boxed{84}.",
"index": 367,
"question": "Consider a system of variables where each variable is defined as follows: z = u + 11; v = z + 6; m = l + 13; h = w + 19; u = m + 8; k = 20; s = k + 9; l = s + 17; w = g + 1; d = q + 10; g = d + 14; p = h + 18; q = k + 16. If k = 20, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 17", "h": "c + 5", "e": "h + 13", "i": "e + 17", "w": "i + 7", "g": "w + 17", "q": "b + 18", "z": "q + 2", "d": "z + 14", "p": "d + 7", "v": "p + 17", "x": "v + 13", "b": 12}, "premises": {"b": 12}, "target": "g"}, "answer": {"steps": [["c", "b + 17", 29], ["h", "c + 5", 34], ["e", "h + 13", 47], ["i", "e + 17", 64], ["w", "i + 7", 71], ["g", "w + 17", 88]], "target_var_name": "g", "target_value": 88, "value_dict": {"b": 12, "c": 29, "h": 34, "e": 47, "i": 64, "w": 71, "g": 88}, "is_reverse": false}} | 368 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = p + 17; x = v + 13; i = e + 17; e = h + 13; z = q + 2; c = b + 17; p = d + 7; b = 12; h = c + 5; g = w + 17; d = z + 14; q = b + 18; w = i + 7. If b = 12, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = b + 17, which gives c = 29.\n2. Compute h using h = c + 5, which gives h = 34.\n3. Compute e using e = h + 13, which gives e = 47.\n4. Compute i using i = e + 17, which gives i = 64.\n5. Compute w using w = i + 7, which gives w = 71.\n6. Compute g using g = w + 17, which gives g = 88.\n\nThus, the final answer is g = \\boxed{88}.",
"index": 368,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = p + 17; x = v + 13; i = e + 17; e = h + 13; z = q + 2; c = b + 17; p = d + 7; b = 12; h = c + 5; g = w + 17; d = z + 14; q = b + 18; w = i + 7. If b = 12, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 10", "k": "y + 2", "f": "k + 16", "l": "f + 20", "i": "l + 10", "c": "i + 9", "q": "b + 13", "v": "q + 11", "z": "v + 17", "t": "z + 3", "p": "t + 7", "u": "p + 10", "b": 18}, "premises": {"b": 18}, "target": "c"}, "answer": {"steps": [["y", "b + 10", 28], ["k", "y + 2", 30], ["f", "k + 16", 46], ["l", "f + 20", 66], ["i", "l + 10", 76], ["c", "i + 9", 85]], "target_var_name": "c", "target_value": 85, "value_dict": {"b": 18, "y": 28, "k": 30, "f": 46, "l": 66, "i": 76, "c": 85}, "is_reverse": false}} | 369 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 2; p = t + 7; i = l + 10; t = z + 3; z = v + 17; l = f + 20; b = 18; u = p + 10; v = q + 11; q = b + 13; c = i + 9; y = b + 10; f = k + 16. If b = 18, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = b + 10, which gives y = 28.\n2. Compute k using k = y + 2, which gives k = 30.\n3. Compute f using f = k + 16, which gives f = 46.\n4. Compute l using l = f + 20, which gives l = 66.\n5. Compute i using i = l + 10, which gives i = 76.\n6. Compute c using c = i + 9, which gives c = 85.\n\nThus, the final answer is c = \\boxed{85}.",
"index": 369,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 2; p = t + 7; i = l + 10; t = z + 3; z = v + 17; l = f + 20; b = 18; u = p + 10; v = q + 11; q = b + 13; c = i + 9; y = b + 10; f = k + 16. If b = 18, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 3", "t": "h + 10", "l": "t + 13", "u": "l + 12", "i": "u + 18", "g": "i + 10", "w": "f + 2", "e": "w + 5", "p": "e + 4", "j": "p + 6", "d": "j + 16", "s": "d + 1", "f": 18}, "premises": {"f": 18}, "target": "g"}, "answer": {"steps": [["h", "f + 3", 21], ["t", "h + 10", 31], ["l", "t + 13", 44], ["u", "l + 12", 56], ["i", "u + 18", 74], ["g", "i + 10", 84]], "target_var_name": "g", "target_value": 84, "value_dict": {"f": 18, "h": 21, "t": 31, "l": 44, "u": 56, "i": 74, "g": 84}, "is_reverse": false}} | 370 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = e + 4; e = w + 5; i = u + 18; s = d + 1; t = h + 10; f = 18; g = i + 10; l = t + 13; h = f + 3; w = f + 2; d = j + 16; j = p + 6; u = l + 12. Given that f = 18, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = f + 3, which gives h = 21.\n2. Compute t using t = h + 10, which gives t = 31.\n3. Compute l using l = t + 13, which gives l = 44.\n4. Compute u using u = l + 12, which gives u = 56.\n5. Compute i using i = u + 18, which gives i = 74.\n6. Compute g using g = i + 10, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 370,
"question": "Suppose a collection of variables is related by the following definitions: p = e + 4; e = w + 5; i = u + 18; s = d + 1; t = h + 10; f = 18; g = i + 10; l = t + 13; h = f + 3; w = f + 2; d = j + 16; j = p + 6; u = l + 12. Given that f = 18, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 11", "o": "d + 6", "i": "o + 3", "q": "i + 10", "e": "q + 5", "f": "e + 1", "s": "p + 18", "v": "s + 5", "a": "v + 20", "t": "a + 3", "h": "t + 14", "z": "h + 8", "p": 10}, "premises": {"p": 10}, "target": "f"}, "answer": {"steps": [["d", "p + 11", 21], ["o", "d + 6", 27], ["i", "o + 3", 30], ["q", "i + 10", 40], ["e", "q + 5", 45], ["f", "e + 1", 46]], "target_var_name": "f", "target_value": 46, "value_dict": {"p": 10, "d": 21, "o": 27, "i": 30, "q": 40, "e": 45, "f": 46}, "is_reverse": false}} | 371 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = s + 5; f = e + 1; e = q + 5; q = i + 10; i = o + 3; s = p + 18; h = t + 14; t = a + 3; p = 10; o = d + 6; z = h + 8; d = p + 11; a = v + 20. If p = 10, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = p + 11, which gives d = 21.\n2. Compute o using o = d + 6, which gives o = 27.\n3. Compute i using i = o + 3, which gives i = 30.\n4. Compute q using q = i + 10, which gives q = 40.\n5. Compute e using e = q + 5, which gives e = 45.\n6. Compute f using f = e + 1, which gives f = 46.\n\nThus, the final answer is f = \\boxed{46}.",
"index": 371,
"question": "Consider a system of variables where each variable is defined as follows: v = s + 5; f = e + 1; e = q + 5; q = i + 10; i = o + 3; s = p + 18; h = t + 14; t = a + 3; p = 10; o = d + 6; z = h + 8; d = p + 11; a = v + 20. If p = 10, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 17", "s": "d + 4", "v": "s + 2", "k": "v + 12", "c": "k + 12", "e": "c + 17", "o": "i + 18", "m": "o + 12", "u": "m + 3", "r": "u + 20", "z": "r + 17", "p": "z + 9", "i": 18}, "premises": {"i": 18}, "target": "e"}, "answer": {"steps": [["c", "k + 12", "k + 29"], ["k", "v + 12", "v + 41"], ["v", "s + 2", "s + 43"], ["s", "d + 4", "d + 47"], ["d", "i + 17", "i + 64"], ["i", 18, "82"]], "target_var_name": "e", "target_value": 82, "value_dict": {"i": 18}, "is_reverse": true}} | 372 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = i + 18; z = r + 17; p = z + 9; s = d + 4; u = m + 3; k = v + 12; v = s + 2; d = i + 17; r = u + 20; i = 18; e = c + 17; m = o + 12; c = k + 12. If i = 18, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 12 to e, which gives e = k + 29.\n2. Substitute k = v + 12 to e, which gives e = v + 41.\n3. Substitute v = s + 2 to e, which gives e = s + 43.\n4. Substitute s = d + 4 to e, which gives e = d + 47.\n5. Substitute d = i + 17 to e, which gives e = i + 64.\n6. Substitute i = 18 to e, which gives e = 82.\n\nThus, the final answer is e = \\boxed{82}.",
"index": 372,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = i + 18; z = r + 17; p = z + 9; s = d + 4; u = m + 3; k = v + 12; v = s + 2; d = i + 17; r = u + 20; i = 18; e = c + 17; m = o + 12; c = k + 12. If i = 18, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 12", "x": "c + 8", "y": "x + 10", "i": "y + 7", "j": "i + 18", "l": "j + 3", "s": "q + 16", "z": "s + 12", "a": "z + 14", "h": "a + 12", "e": "h + 12", "t": "e + 16", "q": 13}, "premises": {"q": 13}, "target": "l"}, "answer": {"steps": [["c", "q + 12", 25], ["x", "c + 8", 33], ["y", "x + 10", 43], ["i", "y + 7", 50], ["j", "i + 18", 68], ["l", "j + 3", 71]], "target_var_name": "l", "target_value": 71, "value_dict": {"q": 13, "c": 25, "x": 33, "y": 43, "i": 50, "j": 68, "l": 71}, "is_reverse": false}} | 373 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 16; q = 13; i = y + 7; l = j + 3; y = x + 10; e = h + 12; t = e + 16; j = i + 18; a = z + 14; x = c + 8; z = s + 12; h = a + 12; c = q + 12. If q = 13, what is the resulting 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. Compute c using c = q + 12, which gives c = 25.\n2. Compute x using x = c + 8, which gives x = 33.\n3. Compute y using y = x + 10, which gives y = 43.\n4. Compute i using i = y + 7, which gives i = 50.\n5. Compute j using j = i + 18, which gives j = 68.\n6. Compute l using l = j + 3, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 373,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 16; q = 13; i = y + 7; l = j + 3; y = x + 10; e = h + 12; t = e + 16; j = i + 18; a = z + 14; x = c + 8; z = s + 12; h = a + 12; c = q + 12. If q = 13, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 15", "l": "h + 13", "e": "l + 19", "j": "e + 6", "o": "j + 19", "q": "o + 3", "y": "t + 8", "b": "y + 10", "z": "b + 14", "p": "z + 18", "x": "p + 19", "w": "x + 1", "t": 20}, "premises": {"t": 20}, "target": "q"}, "answer": {"steps": [["o", "j + 19", "j + 22"], ["j", "e + 6", "e + 28"], ["e", "l + 19", "l + 47"], ["l", "h + 13", "h + 60"], ["h", "t + 15", "t + 75"], ["t", 20, "95"]], "target_var_name": "q", "target_value": 95, "value_dict": {"t": 20}, "is_reverse": true}} | 374 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = x + 1; e = l + 19; x = p + 19; l = h + 13; j = e + 6; y = t + 8; h = t + 15; t = 20; o = j + 19; b = y + 10; q = o + 3; z = b + 14; p = z + 18. If t = 20, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 19 to q, which gives q = j + 22.\n2. Substitute j = e + 6 to q, which gives q = e + 28.\n3. Substitute e = l + 19 to q, which gives q = l + 47.\n4. Substitute l = h + 13 to q, which gives q = h + 60.\n5. Substitute h = t + 15 to q, which gives q = t + 75.\n6. Substitute t = 20 to q, which gives q = 95.\n\nThus, the final answer is q = \\boxed{95}.",
"index": 374,
"question": "Consider a system of variables where each variable is defined as follows: w = x + 1; e = l + 19; x = p + 19; l = h + 13; j = e + 6; y = t + 8; h = t + 15; t = 20; o = j + 19; b = y + 10; q = o + 3; z = b + 14; p = z + 18. If t = 20, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"a": "x + 11", "z": "a + 16", "i": "z + 3", "o": "i + 5", "v": "o + 16", "j": "v + 16", "w": "x + 11", "y": "w + 17", "e": "y + 17", "g": "e + 1", "m": "g + 6", "k": "m + 17", "x": 12}, "premises": {"x": 12}, "target": "j"}, "answer": {"steps": [["a", "x + 11", 23], ["z", "a + 16", 39], ["i", "z + 3", 42], ["o", "i + 5", 47], ["v", "o + 16", 63], ["j", "v + 16", 79]], "target_var_name": "j", "target_value": 79, "value_dict": {"x": 12, "a": 23, "z": 39, "i": 42, "o": 47, "v": 63, "j": 79}, "is_reverse": false}} | 375 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = o + 16; a = x + 11; w = x + 11; k = m + 17; j = v + 16; z = a + 16; i = z + 3; o = i + 5; x = 12; g = e + 1; m = g + 6; e = y + 17; y = w + 17. Given that x = 12, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = x + 11, which gives a = 23.\n2. Compute z using z = a + 16, which gives z = 39.\n3. Compute i using i = z + 3, which gives i = 42.\n4. Compute o using o = i + 5, which gives o = 47.\n5. Compute v using v = o + 16, which gives v = 63.\n6. Compute j using j = v + 16, which gives j = 79.\n\nThus, the final answer is j = \\boxed{79}.",
"index": 375,
"question": "Suppose a collection of variables is related by the following definitions: v = o + 16; a = x + 11; w = x + 11; k = m + 17; j = v + 16; z = a + 16; i = z + 3; o = i + 5; x = 12; g = e + 1; m = g + 6; e = y + 17; y = w + 17. Given that x = 12, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 13", "g": "z + 3", "v": "g + 9", "f": "v + 20", "n": "f + 14", "m": "n + 9", "k": "y + 8", "a": "k + 6", "t": "a + 20", "h": "t + 15", "e": "h + 1", "l": "e + 4", "y": 19}, "premises": {"y": 19}, "target": "m"}, "answer": {"steps": [["z", "y + 13", 32], ["g", "z + 3", 35], ["v", "g + 9", 44], ["f", "v + 20", 64], ["n", "f + 14", 78], ["m", "n + 9", 87]], "target_var_name": "m", "target_value": 87, "value_dict": {"y": 19, "z": 32, "g": 35, "v": 44, "f": 64, "n": 78, "m": 87}, "is_reverse": false}} | 376 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = h + 1; f = v + 20; h = t + 15; g = z + 3; n = f + 14; y = 19; a = k + 6; z = y + 13; m = n + 9; l = e + 4; k = y + 8; t = a + 20; v = g + 9. Given that y = 19, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = y + 13, which gives z = 32.\n2. Compute g using g = z + 3, which gives g = 35.\n3. Compute v using v = g + 9, which gives v = 44.\n4. Compute f using f = v + 20, which gives f = 64.\n5. Compute n using n = f + 14, which gives n = 78.\n6. Compute m using m = n + 9, which gives m = 87.\n\nThus, the final answer is m = \\boxed{87}.",
"index": 376,
"question": "Suppose a collection of variables is related by the following definitions: e = h + 1; f = v + 20; h = t + 15; g = z + 3; n = f + 14; y = 19; a = k + 6; z = y + 13; m = n + 9; l = e + 4; k = y + 8; t = a + 20; v = g + 9. Given that y = 19, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 15", "n": "u + 2", "d": "n + 8", "j": "d + 9", "e": "j + 12", "z": "e + 15", "q": "m + 4", "b": "q + 16", "s": "b + 9", "o": "s + 10", "x": "o + 3", "g": "x + 19", "m": 14}, "premises": {"m": 14}, "target": "z"}, "answer": {"steps": [["e", "j + 12", "j + 27"], ["j", "d + 9", "d + 36"], ["d", "n + 8", "n + 44"], ["n", "u + 2", "u + 46"], ["u", "m + 15", "m + 61"], ["m", 14, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"m": 14}, "is_reverse": true}} | 377 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = m + 4; b = q + 16; e = j + 12; o = s + 10; z = e + 15; d = n + 8; j = d + 9; m = 14; s = b + 9; u = m + 15; n = u + 2; x = o + 3; g = x + 19. Given that m = 14, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 12 to z, which gives z = j + 27.\n2. Substitute j = d + 9 to z, which gives z = d + 36.\n3. Substitute d = n + 8 to z, which gives z = n + 44.\n4. Substitute n = u + 2 to z, which gives z = u + 46.\n5. Substitute u = m + 15 to z, which gives z = m + 61.\n6. Substitute m = 14 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 377,
"question": "Suppose a collection of variables is related by the following definitions: q = m + 4; b = q + 16; e = j + 12; o = s + 10; z = e + 15; d = n + 8; j = d + 9; m = 14; s = b + 9; u = m + 15; n = u + 2; x = o + 3; g = x + 19. Given that m = 14, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 13", "m": "w + 7", "y": "m + 1", "s": "y + 6", "p": "s + 4", "f": "p + 9", "i": "u + 17", "r": "i + 2", "g": "r + 11", "c": "g + 6", "b": "c + 20", "o": "b + 18", "u": 20}, "premises": {"u": 20}, "target": "f"}, "answer": {"steps": [["p", "s + 4", "s + 13"], ["s", "y + 6", "y + 19"], ["y", "m + 1", "m + 20"], ["m", "w + 7", "w + 27"], ["w", "u + 13", "u + 40"], ["u", 20, "60"]], "target_var_name": "f", "target_value": 60, "value_dict": {"u": 20}, "is_reverse": true}} | 378 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = u + 13; g = r + 11; s = y + 6; r = i + 2; b = c + 20; p = s + 4; i = u + 17; f = p + 9; u = 20; m = w + 7; o = b + 18; c = g + 6; y = m + 1. If u = 20, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 4 to f, which gives f = s + 13.\n2. Substitute s = y + 6 to f, which gives f = y + 19.\n3. Substitute y = m + 1 to f, which gives f = m + 20.\n4. Substitute m = w + 7 to f, which gives f = w + 27.\n5. Substitute w = u + 13 to f, which gives f = u + 40.\n6. Substitute u = 20 to f, which gives f = 60.\n\nThus, the final answer is f = \\boxed{60}.",
"index": 378,
"question": "Consider a system of variables where each variable is defined as follows: w = u + 13; g = r + 11; s = y + 6; r = i + 2; b = c + 20; p = s + 4; i = u + 17; f = p + 9; u = 20; m = w + 7; o = b + 18; c = g + 6; y = m + 1. If u = 20, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 4", "z": "a + 17", "y": "z + 19", "t": "y + 17", "e": "t + 8", "g": "e + 8", "o": "r + 9", "f": "o + 8", "x": "f + 8", "c": "x + 12", "l": "c + 5", "n": "l + 1", "r": 19}, "premises": {"r": 19}, "target": "g"}, "answer": {"steps": [["a", "r + 4", 23], ["z", "a + 17", 40], ["y", "z + 19", 59], ["t", "y + 17", 76], ["e", "t + 8", 84], ["g", "e + 8", 92]], "target_var_name": "g", "target_value": 92, "value_dict": {"r": 19, "a": 23, "z": 40, "y": 59, "t": 76, "e": 84, "g": 92}, "is_reverse": false}} | 379 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = e + 8; z = a + 17; x = f + 8; a = r + 4; r = 19; o = r + 9; c = x + 12; t = y + 17; f = o + 8; y = z + 19; n = l + 1; e = t + 8; l = c + 5. If r = 19, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = r + 4, which gives a = 23.\n2. Compute z using z = a + 17, which gives z = 40.\n3. Compute y using y = z + 19, which gives y = 59.\n4. Compute t using t = y + 17, which gives t = 76.\n5. Compute e using e = t + 8, which gives e = 84.\n6. Compute g using g = e + 8, which gives g = 92.\n\nThus, the final answer is g = \\boxed{92}.",
"index": 379,
"question": "Consider a system of variables where each variable is defined as follows: g = e + 8; z = a + 17; x = f + 8; a = r + 4; r = 19; o = r + 9; c = x + 12; t = y + 17; f = o + 8; y = z + 19; n = l + 1; e = t + 8; l = c + 5. If r = 19, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 20", "e": "x + 9", "s": "e + 8", "w": "s + 5", "o": "w + 18", "t": "o + 20", "h": "m + 13", "r": "h + 16", "n": "r + 19", "f": "n + 2", "q": "f + 5", "a": "q + 16", "m": 4}, "premises": {"m": 4}, "target": "t"}, "answer": {"steps": [["x", "m + 20", 24], ["e", "x + 9", 33], ["s", "e + 8", 41], ["w", "s + 5", 46], ["o", "w + 18", 64], ["t", "o + 20", 84]], "target_var_name": "t", "target_value": 84, "value_dict": {"m": 4, "x": 24, "e": 33, "s": 41, "w": 46, "o": 64, "t": 84}, "is_reverse": false}} | 380 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = 4; e = x + 9; t = o + 20; x = m + 20; o = w + 18; w = s + 5; h = m + 13; f = n + 2; s = e + 8; a = q + 16; n = r + 19; q = f + 5; r = h + 16. If m = 4, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = m + 20, which gives x = 24.\n2. Compute e using e = x + 9, which gives e = 33.\n3. Compute s using s = e + 8, which gives s = 41.\n4. Compute w using w = s + 5, which gives w = 46.\n5. Compute o using o = w + 18, which gives o = 64.\n6. Compute t using t = o + 20, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 380,
"question": "Consider a system of variables where each variable is defined as follows: m = 4; e = x + 9; t = o + 20; x = m + 20; o = w + 18; w = s + 5; h = m + 13; f = n + 2; s = e + 8; a = q + 16; n = r + 19; q = f + 5; r = h + 16. If m = 4, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"b": "f + 4", "w": "b + 17", "v": "w + 18", "a": "v + 5", "e": "a + 11", "k": "e + 5", "z": "f + 8", "p": "z + 19", "q": "p + 15", "r": "q + 10", "u": "r + 5", "h": "u + 5", "f": 15}, "premises": {"f": 15}, "target": "k"}, "answer": {"steps": [["b", "f + 4", 19], ["w", "b + 17", 36], ["v", "w + 18", 54], ["a", "v + 5", 59], ["e", "a + 11", 70], ["k", "e + 5", 75]], "target_var_name": "k", "target_value": 75, "value_dict": {"f": 15, "b": 19, "w": 36, "v": 54, "a": 59, "e": 70, "k": 75}, "is_reverse": false}} | 381 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = q + 10; v = w + 18; k = e + 5; f = 15; q = p + 15; u = r + 5; a = v + 5; h = u + 5; w = b + 17; b = f + 4; z = f + 8; e = a + 11; p = z + 19. If f = 15, 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. Compute b using b = f + 4, which gives b = 19.\n2. Compute w using w = b + 17, which gives w = 36.\n3. Compute v using v = w + 18, which gives v = 54.\n4. Compute a using a = v + 5, which gives a = 59.\n5. Compute e using e = a + 11, which gives e = 70.\n6. Compute k using k = e + 5, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 381,
"question": "Consider a system of variables where each variable is defined as follows: r = q + 10; v = w + 18; k = e + 5; f = 15; q = p + 15; u = r + 5; a = v + 5; h = u + 5; w = b + 17; b = f + 4; z = f + 8; e = a + 11; p = z + 19. If f = 15, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 7", "t": "z + 19", "u": "t + 2", "g": "u + 3", "n": "g + 18", "w": "n + 16", "r": "i + 16", "o": "r + 2", "d": "o + 2", "l": "d + 20", "b": "l + 9", "h": "b + 1", "i": 20}, "premises": {"i": 20}, "target": "w"}, "answer": {"steps": [["z", "i + 7", 27], ["t", "z + 19", 46], ["u", "t + 2", 48], ["g", "u + 3", 51], ["n", "g + 18", 69], ["w", "n + 16", 85]], "target_var_name": "w", "target_value": 85, "value_dict": {"i": 20, "z": 27, "t": 46, "u": 48, "g": 51, "n": 69, "w": 85}, "is_reverse": false}} | 382 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = n + 16; t = z + 19; l = d + 20; u = t + 2; i = 20; o = r + 2; z = i + 7; r = i + 16; h = b + 1; g = u + 3; n = g + 18; b = l + 9; d = o + 2. If i = 20, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = i + 7, which gives z = 27.\n2. Compute t using t = z + 19, which gives t = 46.\n3. Compute u using u = t + 2, which gives u = 48.\n4. Compute g using g = u + 3, which gives g = 51.\n5. Compute n using n = g + 18, which gives n = 69.\n6. Compute w using w = n + 16, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 382,
"question": "Consider a system of variables where each variable is defined as follows: w = n + 16; t = z + 19; l = d + 20; u = t + 2; i = 20; o = r + 2; z = i + 7; r = i + 16; h = b + 1; g = u + 3; n = g + 18; b = l + 9; d = o + 2. If i = 20, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 11", "j": "v + 12", "y": "j + 19", "i": "y + 9", "p": "i + 12", "g": "p + 3", "r": "h + 13", "s": "r + 20", "z": "s + 12", "l": "z + 9", "n": "l + 9", "b": "n + 16", "h": 9}, "premises": {"h": 9}, "target": "g"}, "answer": {"steps": [["v", "h + 11", 20], ["j", "v + 12", 32], ["y", "j + 19", 51], ["i", "y + 9", 60], ["p", "i + 12", 72], ["g", "p + 3", 75]], "target_var_name": "g", "target_value": 75, "value_dict": {"h": 9, "v": 20, "j": 32, "y": 51, "i": 60, "p": 72, "g": 75}, "is_reverse": false}} | 383 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = v + 12; r = h + 13; y = j + 19; z = s + 12; b = n + 16; n = l + 9; l = z + 9; s = r + 20; h = 9; i = y + 9; v = h + 11; p = i + 12; g = p + 3. If h = 9, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = h + 11, which gives v = 20.\n2. Compute j using j = v + 12, which gives j = 32.\n3. Compute y using y = j + 19, which gives y = 51.\n4. Compute i using i = y + 9, which gives i = 60.\n5. Compute p using p = i + 12, which gives p = 72.\n6. Compute g using g = p + 3, which gives g = 75.\n\nThus, the final answer is g = \\boxed{75}.",
"index": 383,
"question": "Consider a system of variables where each variable is defined as follows: j = v + 12; r = h + 13; y = j + 19; z = s + 12; b = n + 16; n = l + 9; l = z + 9; s = r + 20; h = 9; i = y + 9; v = h + 11; p = i + 12; g = p + 3. If h = 9, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 8", "z": "c + 1", "k": "z + 7", "i": "k + 7", "r": "i + 10", "h": "r + 1", "t": "n + 12", "g": "t + 16", "u": "g + 14", "p": "u + 8", "w": "p + 2", "s": "w + 15", "n": 9}, "premises": {"n": 9}, "target": "h"}, "answer": {"steps": [["r", "i + 10", "i + 11"], ["i", "k + 7", "k + 18"], ["k", "z + 7", "z + 25"], ["z", "c + 1", "c + 26"], ["c", "n + 8", "n + 34"], ["n", 9, "43"]], "target_var_name": "h", "target_value": 43, "value_dict": {"n": 9}, "is_reverse": true}} | 384 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = k + 7; p = u + 8; s = w + 15; c = n + 8; r = i + 10; w = p + 2; n = 9; h = r + 1; t = n + 12; u = g + 14; k = z + 7; z = c + 1; g = t + 16. Given that n = 9, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 10 to h, which gives h = i + 11.\n2. Substitute i = k + 7 to h, which gives h = k + 18.\n3. Substitute k = z + 7 to h, which gives h = z + 25.\n4. Substitute z = c + 1 to h, which gives h = c + 26.\n5. Substitute c = n + 8 to h, which gives h = n + 34.\n6. Substitute n = 9 to h, which gives h = 43.\n\nThus, the final answer is h = \\boxed{43}.",
"index": 384,
"question": "Suppose a collection of variables is related by the following definitions: i = k + 7; p = u + 8; s = w + 15; c = n + 8; r = i + 10; w = p + 2; n = 9; h = r + 1; t = n + 12; u = g + 14; k = z + 7; z = c + 1; g = t + 16. Given that n = 9, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "k + 12", "y": "e + 17", "m": "y + 4", "w": "m + 12", "x": "w + 6", "s": "x + 10", "i": "k + 8", "l": "i + 8", "a": "l + 18", "z": "a + 7", "h": "z + 6", "p": "h + 5", "k": 3}, "premises": {"k": 3}, "target": "s"}, "answer": {"steps": [["e", "k + 12", 15], ["y", "e + 17", 32], ["m", "y + 4", 36], ["w", "m + 12", 48], ["x", "w + 6", 54], ["s", "x + 10", 64]], "target_var_name": "s", "target_value": 64, "value_dict": {"k": 3, "e": 15, "y": 32, "m": 36, "w": 48, "x": 54, "s": 64}, "is_reverse": false}} | 385 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 3; x = w + 6; i = k + 8; z = a + 7; s = x + 10; l = i + 8; y = e + 17; e = k + 12; p = h + 5; a = l + 18; w = m + 12; h = z + 6; m = y + 4. If k = 3, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = k + 12, which gives e = 15.\n2. Compute y using y = e + 17, which gives y = 32.\n3. Compute m using m = y + 4, which gives m = 36.\n4. Compute w using w = m + 12, which gives w = 48.\n5. Compute x using x = w + 6, which gives x = 54.\n6. Compute s using s = x + 10, which gives s = 64.\n\nThus, the final answer is s = \\boxed{64}.",
"index": 385,
"question": "Consider a system of variables where each variable is defined as follows: k = 3; x = w + 6; i = k + 8; z = a + 7; s = x + 10; l = i + 8; y = e + 17; e = k + 12; p = h + 5; a = l + 18; w = m + 12; h = z + 6; m = y + 4. If k = 3, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 13", "f": "t + 13", "p": "f + 4", "a": "p + 18", "l": "a + 7", "q": "l + 6", "e": "w + 10", "c": "e + 18", "k": "c + 7", "v": "k + 5", "u": "v + 3", "x": "u + 10", "w": 10}, "premises": {"w": 10}, "target": "q"}, "answer": {"steps": [["t", "w + 13", 23], ["f", "t + 13", 36], ["p", "f + 4", 40], ["a", "p + 18", 58], ["l", "a + 7", 65], ["q", "l + 6", 71]], "target_var_name": "q", "target_value": 71, "value_dict": {"w": 10, "t": 23, "f": 36, "p": 40, "a": 58, "l": 65, "q": 71}, "is_reverse": false}} | 386 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = u + 10; f = t + 13; c = e + 18; e = w + 10; w = 10; q = l + 6; k = c + 7; v = k + 5; u = v + 3; t = w + 13; a = p + 18; l = a + 7; p = f + 4. Given that w = 10, find 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. Compute t using t = w + 13, which gives t = 23.\n2. Compute f using f = t + 13, which gives f = 36.\n3. Compute p using p = f + 4, which gives p = 40.\n4. Compute a using a = p + 18, which gives a = 58.\n5. Compute l using l = a + 7, which gives l = 65.\n6. Compute q using q = l + 6, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 386,
"question": "Suppose a collection of variables is related by the following definitions: x = u + 10; f = t + 13; c = e + 18; e = w + 10; w = 10; q = l + 6; k = c + 7; v = k + 5; u = v + 3; t = w + 13; a = p + 18; l = a + 7; p = f + 4. Given that w = 10, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "k + 4", "e": "n + 16", "v": "e + 5", "t": "v + 17", "h": "t + 7", "q": "h + 3", "m": "k + 18", "r": "m + 3", "w": "r + 2", "b": "w + 20", "f": "b + 7", "g": "f + 1", "k": 2}, "premises": {"k": 2}, "target": "q"}, "answer": {"steps": [["n", "k + 4", 6], ["e", "n + 16", 22], ["v", "e + 5", 27], ["t", "v + 17", 44], ["h", "t + 7", 51], ["q", "h + 3", 54]], "target_var_name": "q", "target_value": 54, "value_dict": {"k": 2, "n": 6, "e": 22, "v": 27, "t": 44, "h": 51, "q": 54}, "is_reverse": false}} | 387 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 7; g = f + 1; e = n + 16; n = k + 4; t = v + 17; k = 2; b = w + 20; v = e + 5; h = t + 7; m = k + 18; q = h + 3; r = m + 3; w = r + 2. If k = 2, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = k + 4, which gives n = 6.\n2. Compute e using e = n + 16, which gives e = 22.\n3. Compute v using v = e + 5, which gives v = 27.\n4. Compute t using t = v + 17, which gives t = 44.\n5. Compute h using h = t + 7, which gives h = 51.\n6. Compute q using q = h + 3, which gives q = 54.\n\nThus, the final answer is q = \\boxed{54}.",
"index": 387,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 7; g = f + 1; e = n + 16; n = k + 4; t = v + 17; k = 2; b = w + 20; v = e + 5; h = t + 7; m = k + 18; q = h + 3; r = m + 3; w = r + 2. If k = 2, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 3", "g": "h + 20", "n": "g + 19", "s": "n + 6", "w": "s + 20", "p": "w + 17", "i": "x + 5", "u": "i + 6", "e": "u + 16", "l": "e + 3", "o": "l + 12", "b": "o + 10", "x": 5}, "premises": {"x": 5}, "target": "p"}, "answer": {"steps": [["h", "x + 3", 8], ["g", "h + 20", 28], ["n", "g + 19", 47], ["s", "n + 6", 53], ["w", "s + 20", 73], ["p", "w + 17", 90]], "target_var_name": "p", "target_value": 90, "value_dict": {"x": 5, "h": 8, "g": 28, "n": 47, "s": 53, "w": 73, "p": 90}, "is_reverse": false}} | 388 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = o + 10; g = h + 20; p = w + 17; l = e + 3; s = n + 6; u = i + 6; i = x + 5; e = u + 16; x = 5; n = g + 19; h = x + 3; o = l + 12; w = s + 20. If x = 5, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = x + 3, which gives h = 8.\n2. Compute g using g = h + 20, which gives g = 28.\n3. Compute n using n = g + 19, which gives n = 47.\n4. Compute s using s = n + 6, which gives s = 53.\n5. Compute w using w = s + 20, which gives w = 73.\n6. Compute p using p = w + 17, which gives p = 90.\n\nThus, the final answer is p = \\boxed{90}.",
"index": 388,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = o + 10; g = h + 20; p = w + 17; l = e + 3; s = n + 6; u = i + 6; i = x + 5; e = u + 16; x = 5; n = g + 19; h = x + 3; o = l + 12; w = s + 20. If x = 5, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 3", "y": "s + 8", "o": "y + 15", "x": "o + 1", "f": "x + 4", "d": "f + 20", "k": "u + 5", "b": "k + 15", "z": "b + 1", "t": "z + 12", "v": "t + 11", "e": "v + 3", "u": 3}, "premises": {"u": 3}, "target": "d"}, "answer": {"steps": [["s", "u + 3", 6], ["y", "s + 8", 14], ["o", "y + 15", 29], ["x", "o + 1", 30], ["f", "x + 4", 34], ["d", "f + 20", 54]], "target_var_name": "d", "target_value": 54, "value_dict": {"u": 3, "s": 6, "y": 14, "o": 29, "x": 30, "f": 34, "d": 54}, "is_reverse": false}} | 389 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 4; y = s + 8; v = t + 11; x = o + 1; b = k + 15; z = b + 1; e = v + 3; o = y + 15; d = f + 20; s = u + 3; k = u + 5; u = 3; t = z + 12. If u = 3, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = u + 3, which gives s = 6.\n2. Compute y using y = s + 8, which gives y = 14.\n3. Compute o using o = y + 15, which gives o = 29.\n4. Compute x using x = o + 1, which gives x = 30.\n5. Compute f using f = x + 4, which gives f = 34.\n6. Compute d using d = f + 20, which gives d = 54.\n\nThus, the final answer is d = \\boxed{54}.",
"index": 389,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 4; y = s + 8; v = t + 11; x = o + 1; b = k + 15; z = b + 1; e = v + 3; o = y + 15; d = f + 20; s = u + 3; k = u + 5; u = 3; t = z + 12. If u = 3, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"i": "r + 6", "a": "i + 4", "w": "a + 10", "y": "w + 18", "e": "y + 1", "l": "e + 10", "h": "r + 16", "o": "h + 2", "v": "o + 4", "z": "v + 2", "f": "z + 10", "m": "f + 18", "r": 18}, "premises": {"r": 18}, "target": "l"}, "answer": {"steps": [["e", "y + 1", "y + 11"], ["y", "w + 18", "w + 29"], ["w", "a + 10", "a + 39"], ["a", "i + 4", "i + 43"], ["i", "r + 6", "r + 49"], ["r", 18, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"r": 18}, "is_reverse": true}} | 390 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = o + 4; a = i + 4; w = a + 10; z = v + 2; i = r + 6; m = f + 18; h = r + 16; y = w + 18; r = 18; e = y + 1; l = e + 10; f = z + 10; o = h + 2. If r = 18, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 1 to l, which gives l = y + 11.\n2. Substitute y = w + 18 to l, which gives l = w + 29.\n3. Substitute w = a + 10 to l, which gives l = a + 39.\n4. Substitute a = i + 4 to l, which gives l = i + 43.\n5. Substitute i = r + 6 to l, which gives l = r + 49.\n6. Substitute r = 18 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 390,
"question": "Consider a system of variables where each variable is defined as follows: v = o + 4; a = i + 4; w = a + 10; z = v + 2; i = r + 6; m = f + 18; h = r + 16; y = w + 18; r = 18; e = y + 1; l = e + 10; f = z + 10; o = h + 2. If r = 18, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"x": "s + 16", "z": "x + 1", "o": "z + 12", "r": "o + 14", "d": "r + 18", "w": "d + 13", "n": "s + 14", "c": "n + 5", "k": "c + 13", "i": "k + 2", "q": "i + 9", "m": "q + 20", "s": 17}, "premises": {"s": 17}, "target": "w"}, "answer": {"steps": [["x", "s + 16", 33], ["z", "x + 1", 34], ["o", "z + 12", 46], ["r", "o + 14", 60], ["d", "r + 18", 78], ["w", "d + 13", 91]], "target_var_name": "w", "target_value": 91, "value_dict": {"s": 17, "x": 33, "z": 34, "o": 46, "r": 60, "d": 78, "w": 91}, "is_reverse": false}} | 391 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = 17; n = s + 14; c = n + 5; w = d + 13; i = k + 2; k = c + 13; m = q + 20; r = o + 14; x = s + 16; d = r + 18; o = z + 12; q = i + 9; z = x + 1. Given that s = 17, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = s + 16, which gives x = 33.\n2. Compute z using z = x + 1, which gives z = 34.\n3. Compute o using o = z + 12, which gives o = 46.\n4. Compute r using r = o + 14, which gives r = 60.\n5. Compute d using d = r + 18, which gives d = 78.\n6. Compute w using w = d + 13, which gives w = 91.\n\nThus, the final answer is w = \\boxed{91}.",
"index": 391,
"question": "Suppose a collection of variables is related by the following definitions: s = 17; n = s + 14; c = n + 5; w = d + 13; i = k + 2; k = c + 13; m = q + 20; r = o + 14; x = s + 16; d = r + 18; o = z + 12; q = i + 9; z = x + 1. Given that s = 17, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 16", "v": "b + 10", "t": "v + 10", "m": "t + 7", "h": "m + 8", "w": "h + 1", "n": "p + 2", "s": "n + 5", "o": "s + 16", "j": "o + 14", "i": "j + 3", "d": "i + 1", "p": 6}, "premises": {"p": 6}, "target": "w"}, "answer": {"steps": [["b", "p + 16", 22], ["v", "b + 10", 32], ["t", "v + 10", 42], ["m", "t + 7", 49], ["h", "m + 8", 57], ["w", "h + 1", 58]], "target_var_name": "w", "target_value": 58, "value_dict": {"p": 6, "b": 22, "v": 32, "t": 42, "m": 49, "h": 57, "w": 58}, "is_reverse": false}} | 392 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = n + 5; p = 6; j = o + 14; h = m + 8; o = s + 16; n = p + 2; t = v + 10; w = h + 1; b = p + 16; i = j + 3; v = b + 10; d = i + 1; m = t + 7. If p = 6, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = p + 16, which gives b = 22.\n2. Compute v using v = b + 10, which gives v = 32.\n3. Compute t using t = v + 10, which gives t = 42.\n4. Compute m using m = t + 7, which gives m = 49.\n5. Compute h using h = m + 8, which gives h = 57.\n6. Compute w using w = h + 1, which gives w = 58.\n\nThus, the final answer is w = \\boxed{58}.",
"index": 392,
"question": "Consider a system of variables where each variable is defined as follows: s = n + 5; p = 6; j = o + 14; h = m + 8; o = s + 16; n = p + 2; t = v + 10; w = h + 1; b = p + 16; i = j + 3; v = b + 10; d = i + 1; m = t + 7. If p = 6, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 11", "t": "h + 5", "e": "t + 12", "j": "e + 13", "y": "j + 20", "c": "y + 3", "s": "a + 20", "o": "s + 16", "q": "o + 17", "w": "q + 2", "i": "w + 15", "g": "i + 3", "a": 2}, "premises": {"a": 2}, "target": "c"}, "answer": {"steps": [["y", "j + 20", "j + 23"], ["j", "e + 13", "e + 36"], ["e", "t + 12", "t + 48"], ["t", "h + 5", "h + 53"], ["h", "a + 11", "a + 64"], ["a", 2, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"a": 2}, "is_reverse": true}} | 393 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = t + 12; y = j + 20; h = a + 11; s = a + 20; t = h + 5; w = q + 2; g = i + 3; o = s + 16; a = 2; c = y + 3; q = o + 17; i = w + 15; j = e + 13. If a = 2, 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 y = j + 20 to c, which gives c = j + 23.\n2. Substitute j = e + 13 to c, which gives c = e + 36.\n3. Substitute e = t + 12 to c, which gives c = t + 48.\n4. Substitute t = h + 5 to c, which gives c = h + 53.\n5. Substitute h = a + 11 to c, which gives c = a + 64.\n6. Substitute a = 2 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 393,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = t + 12; y = j + 20; h = a + 11; s = a + 20; t = h + 5; w = q + 2; g = i + 3; o = s + 16; a = 2; c = y + 3; q = o + 17; i = w + 15; j = e + 13. If a = 2, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 2", "d": "i + 4", "m": "d + 5", "l": "m + 2", "c": "l + 17", "o": "c + 5", "s": "q + 14", "x": "s + 13", "v": "x + 16", "r": "v + 17", "t": "r + 14", "u": "t + 18", "q": 2}, "premises": {"q": 2}, "target": "o"}, "answer": {"steps": [["c", "l + 17", "l + 22"], ["l", "m + 2", "m + 24"], ["m", "d + 5", "d + 29"], ["d", "i + 4", "i + 33"], ["i", "q + 2", "q + 35"], ["q", 2, "37"]], "target_var_name": "o", "target_value": 37, "value_dict": {"q": 2}, "is_reverse": true}} | 394 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = q + 14; m = d + 5; d = i + 4; l = m + 2; i = q + 2; o = c + 5; r = v + 17; t = r + 14; u = t + 18; q = 2; v = x + 16; c = l + 17; x = s + 13. If q = 2, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 37,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 17 to o, which gives o = l + 22.\n2. Substitute l = m + 2 to o, which gives o = m + 24.\n3. Substitute m = d + 5 to o, which gives o = d + 29.\n4. Substitute d = i + 4 to o, which gives o = i + 33.\n5. Substitute i = q + 2 to o, which gives o = q + 35.\n6. Substitute q = 2 to o, which gives o = 37.\n\nThus, the final answer is o = \\boxed{37}.",
"index": 394,
"question": "Consider a system of variables where each variable is defined as follows: s = q + 14; m = d + 5; d = i + 4; l = m + 2; i = q + 2; o = c + 5; r = v + 17; t = r + 14; u = t + 18; q = 2; v = x + 16; c = l + 17; x = s + 13. If q = 2, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 8", "g": "c + 14", "q": "g + 8", "u": "q + 1", "o": "u + 7", "z": "o + 12", "j": "e + 8", "d": "j + 9", "w": "d + 2", "p": "w + 12", "s": "p + 19", "x": "s + 1", "e": 16}, "premises": {"e": 16}, "target": "z"}, "answer": {"steps": [["c", "e + 8", 24], ["g", "c + 14", 38], ["q", "g + 8", 46], ["u", "q + 1", 47], ["o", "u + 7", 54], ["z", "o + 12", 66]], "target_var_name": "z", "target_value": 66, "value_dict": {"e": 16, "c": 24, "g": 38, "q": 46, "u": 47, "o": 54, "z": 66}, "is_reverse": false}} | 395 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = e + 8; w = d + 2; g = c + 14; q = g + 8; s = p + 19; d = j + 9; e = 16; o = u + 7; z = o + 12; x = s + 1; u = q + 1; p = w + 12; c = e + 8. If e = 16, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = e + 8, which gives c = 24.\n2. Compute g using g = c + 14, which gives g = 38.\n3. Compute q using q = g + 8, which gives q = 46.\n4. Compute u using u = q + 1, which gives u = 47.\n5. Compute o using o = u + 7, which gives o = 54.\n6. Compute z using z = o + 12, which gives z = 66.\n\nThus, the final answer is z = \\boxed{66}.",
"index": 395,
"question": "Consider a system of variables where each variable is defined as follows: j = e + 8; w = d + 2; g = c + 14; q = g + 8; s = p + 19; d = j + 9; e = 16; o = u + 7; z = o + 12; x = s + 1; u = q + 1; p = w + 12; c = e + 8. If e = 16, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 20", "o": "i + 11", "a": "o + 7", "k": "a + 15", "c": "k + 5", "w": "c + 11", "r": "b + 10", "s": "r + 13", "z": "s + 14", "y": "z + 7", "d": "y + 2", "j": "d + 18", "b": 9}, "premises": {"b": 9}, "target": "w"}, "answer": {"steps": [["c", "k + 5", "k + 16"], ["k", "a + 15", "a + 31"], ["a", "o + 7", "o + 38"], ["o", "i + 11", "i + 49"], ["i", "b + 20", "b + 69"], ["b", 9, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"b": 9}, "is_reverse": true}} | 396 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = s + 14; s = r + 13; w = c + 11; y = z + 7; b = 9; o = i + 11; k = a + 15; c = k + 5; d = y + 2; i = b + 20; r = b + 10; a = o + 7; j = d + 18. Given that b = 9, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 5 to w, which gives w = k + 16.\n2. Substitute k = a + 15 to w, which gives w = a + 31.\n3. Substitute a = o + 7 to w, which gives w = o + 38.\n4. Substitute o = i + 11 to w, which gives w = i + 49.\n5. Substitute i = b + 20 to w, which gives w = b + 69.\n6. Substitute b = 9 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 396,
"question": "Suppose a collection of variables is related by the following definitions: z = s + 14; s = r + 13; w = c + 11; y = z + 7; b = 9; o = i + 11; k = a + 15; c = k + 5; d = y + 2; i = b + 20; r = b + 10; a = o + 7; j = d + 18. Given that b = 9, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"e": "v + 16", "c": "e + 17", "p": "c + 2", "b": "p + 12", "u": "b + 2", "y": "u + 7", "i": "v + 12", "q": "i + 11", "g": "q + 10", "t": "g + 3", "z": "t + 9", "f": "z + 19", "v": 12}, "premises": {"v": 12}, "target": "y"}, "answer": {"steps": [["e", "v + 16", 28], ["c", "e + 17", 45], ["p", "c + 2", 47], ["b", "p + 12", 59], ["u", "b + 2", 61], ["y", "u + 7", 68]], "target_var_name": "y", "target_value": 68, "value_dict": {"v": 12, "e": 28, "c": 45, "p": 47, "b": 59, "u": 61, "y": 68}, "is_reverse": false}} | 397 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = u + 7; q = i + 11; f = z + 19; v = 12; c = e + 17; p = c + 2; u = b + 2; z = t + 9; g = q + 10; t = g + 3; b = p + 12; e = v + 16; i = v + 12. If v = 12, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = v + 16, which gives e = 28.\n2. Compute c using c = e + 17, which gives c = 45.\n3. Compute p using p = c + 2, which gives p = 47.\n4. Compute b using b = p + 12, which gives b = 59.\n5. Compute u using u = b + 2, which gives u = 61.\n6. Compute y using y = u + 7, which gives y = 68.\n\nThus, the final answer is y = \\boxed{68}.",
"index": 397,
"question": "Consider a system of variables where each variable is defined as follows: y = u + 7; q = i + 11; f = z + 19; v = 12; c = e + 17; p = c + 2; u = b + 2; z = t + 9; g = q + 10; t = g + 3; b = p + 12; e = v + 16; i = v + 12. If v = 12, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 12", "e": "t + 20", "h": "e + 10", "v": "h + 7", "k": "v + 17", "y": "k + 19", "j": "g + 1", "m": "j + 7", "b": "m + 12", "z": "b + 14", "i": "z + 8", "q": "i + 19", "g": 7}, "premises": {"g": 7}, "target": "y"}, "answer": {"steps": [["k", "v + 17", "v + 36"], ["v", "h + 7", "h + 43"], ["h", "e + 10", "e + 53"], ["e", "t + 20", "t + 73"], ["t", "g + 12", "g + 85"], ["g", 7, "92"]], "target_var_name": "y", "target_value": 92, "value_dict": {"g": 7}, "is_reverse": true}} | 398 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = i + 19; z = b + 14; i = z + 8; k = v + 17; g = 7; v = h + 7; j = g + 1; t = g + 12; b = m + 12; e = t + 20; h = e + 10; y = k + 19; m = j + 7. If g = 7, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 17 to y, which gives y = v + 36.\n2. Substitute v = h + 7 to y, which gives y = h + 43.\n3. Substitute h = e + 10 to y, which gives y = e + 53.\n4. Substitute e = t + 20 to y, which gives y = t + 73.\n5. Substitute t = g + 12 to y, which gives y = g + 85.\n6. Substitute g = 7 to y, which gives y = 92.\n\nThus, the final answer is y = \\boxed{92}.",
"index": 398,
"question": "Consider a system of variables where each variable is defined as follows: q = i + 19; z = b + 14; i = z + 8; k = v + 17; g = 7; v = h + 7; j = g + 1; t = g + 12; b = m + 12; e = t + 20; h = e + 10; y = k + 19; m = j + 7. If g = 7, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 19", "f": "x + 14", "z": "f + 12", "l": "z + 2", "q": "l + 8", "m": "q + 14", "y": "v + 10", "b": "y + 11", "i": "b + 7", "d": "i + 6", "s": "d + 17", "r": "s + 9", "v": 7}, "premises": {"v": 7}, "target": "m"}, "answer": {"steps": [["q", "l + 8", "l + 22"], ["l", "z + 2", "z + 24"], ["z", "f + 12", "f + 36"], ["f", "x + 14", "x + 50"], ["x", "v + 19", "v + 69"], ["v", 7, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"v": 7}, "is_reverse": true}} | 399 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 8; m = q + 14; f = x + 14; y = v + 10; x = v + 19; l = z + 2; s = d + 17; i = b + 7; v = 7; z = f + 12; d = i + 6; r = s + 9; b = y + 11. If v = 7, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 8 to m, which gives m = l + 22.\n2. Substitute l = z + 2 to m, which gives m = z + 24.\n3. Substitute z = f + 12 to m, which gives m = f + 36.\n4. Substitute f = x + 14 to m, which gives m = x + 50.\n5. Substitute x = v + 19 to m, which gives m = v + 69.\n6. Substitute v = 7 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 399,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 8; m = q + 14; f = x + 14; y = v + 10; x = v + 19; l = z + 2; s = d + 17; i = b + 7; v = 7; z = f + 12; d = i + 6; r = s + 9; b = y + 11. If v = 7, what is the resulting value of m?",
"split": "train"
} |
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