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": {"a": "x + 10", "n": "a + 10", "o": "n + 14", "m": "o + 19", "r": "m + 12", "e": "r + 13", "g": "x + 17", "l": "g + 13", "i": "l + 1", "f": "i + 2", "h": "f + 19", "q": "h + 17", "x": 3}, "premises": {"x": 3}, "target": "e"}, "answer": {"steps": [["r", "m + 12", "m + 25"], ["m", "o + 19", "o + 44"], ["o", "n + 14", "n + 58"], ["n", "a + 10", "a + 68"], ["a", "x + 10", "x + 78"], ["x", 3, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"x": 3}, "is_reverse": true}} | 700 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = x + 17; a = x + 10; m = o + 19; i = l + 1; x = 3; o = n + 14; h = f + 19; l = g + 13; f = i + 2; r = m + 12; n = a + 10; q = h + 17; e = r + 13. If x = 3, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = m + 12 to e, which gives e = m + 25.\n2. Substitute m = o + 19 to e, which gives e = o + 44.\n3. Substitute o = n + 14 to e, which gives e = n + 58.\n4. Substitute n = a + 10 to e, which gives e = a + 68.\n5. Substitute a = x + 10 to e, which gives e = x + 78.\n6. Substitute x = 3 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 700,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = x + 17; a = x + 10; m = o + 19; i = l + 1; x = 3; o = n + 14; h = f + 19; l = g + 13; f = i + 2; r = m + 12; n = a + 10; q = h + 17; e = r + 13. If x = 3, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 14", "i": "q + 3", "r": "i + 6", "u": "r + 5", "o": "u + 12", "f": "o + 19", "w": "g + 17", "d": "w + 6", "j": "d + 19", "l": "j + 10", "x": "l + 9", "p": "x + 16", "g": 10}, "premises": {"g": 10}, "target": "f"}, "answer": {"steps": [["q", "g + 14", 24], ["i", "q + 3", 27], ["r", "i + 6", 33], ["u", "r + 5", 38], ["o", "u + 12", 50], ["f", "o + 19", 69]], "target_var_name": "f", "target_value": 69, "value_dict": {"g": 10, "q": 24, "i": 27, "r": 33, "u": 38, "o": 50, "f": 69}, "is_reverse": false}} | 701 | 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 + 6; j = d + 19; l = j + 10; p = x + 16; o = u + 12; q = g + 14; u = r + 5; x = l + 9; i = q + 3; f = o + 19; w = g + 17; g = 10; d = w + 6. If g = 10, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = g + 14, which gives q = 24.\n2. Compute i using i = q + 3, which gives i = 27.\n3. Compute r using r = i + 6, which gives r = 33.\n4. Compute u using u = r + 5, which gives u = 38.\n5. Compute o using o = u + 12, which gives o = 50.\n6. Compute f using f = o + 19, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 701,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = i + 6; j = d + 19; l = j + 10; p = x + 16; o = u + 12; q = g + 14; u = r + 5; x = l + 9; i = q + 3; f = o + 19; w = g + 17; g = 10; d = w + 6. If g = 10, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 17", "t": "u + 11", "f": "t + 7", "b": "f + 18", "i": "b + 4", "g": "i + 11", "c": "k + 9", "e": "c + 7", "r": "e + 19", "j": "r + 8", "x": "j + 15", "w": "x + 7", "k": 15}, "premises": {"k": 15}, "target": "g"}, "answer": {"steps": [["i", "b + 4", "b + 15"], ["b", "f + 18", "f + 33"], ["f", "t + 7", "t + 40"], ["t", "u + 11", "u + 51"], ["u", "k + 17", "k + 68"], ["k", 15, "83"]], "target_var_name": "g", "target_value": 83, "value_dict": {"k": 15}, "is_reverse": true}} | 702 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = t + 7; i = b + 4; j = r + 8; x = j + 15; t = u + 11; k = 15; r = e + 19; e = c + 7; g = i + 11; b = f + 18; c = k + 9; u = k + 17; w = x + 7. Given that k = 15, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 4 to g, which gives g = b + 15.\n2. Substitute b = f + 18 to g, which gives g = f + 33.\n3. Substitute f = t + 7 to g, which gives g = t + 40.\n4. Substitute t = u + 11 to g, which gives g = u + 51.\n5. Substitute u = k + 17 to g, which gives g = k + 68.\n6. Substitute k = 15 to g, which gives g = 83.\n\nThus, the final answer is g = \\boxed{83}.",
"index": 702,
"question": "Suppose a collection of variables is related by the following definitions: f = t + 7; i = b + 4; j = r + 8; x = j + 15; t = u + 11; k = 15; r = e + 19; e = c + 7; g = i + 11; b = f + 18; c = k + 9; u = k + 17; w = x + 7. Given that k = 15, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 4", "n": "r + 6", "v": "n + 18", "t": "v + 15", "b": "t + 10", "f": "b + 10", "s": "o + 5", "u": "s + 15", "a": "u + 6", "i": "a + 16", "z": "i + 18", "g": "z + 1", "o": 5}, "premises": {"o": 5}, "target": "f"}, "answer": {"steps": [["b", "t + 10", "t + 20"], ["t", "v + 15", "v + 35"], ["v", "n + 18", "n + 53"], ["n", "r + 6", "r + 59"], ["r", "o + 4", "o + 63"], ["o", 5, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"o": 5}, "is_reverse": true}} | 703 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = r + 6; a = u + 6; u = s + 15; z = i + 18; b = t + 10; s = o + 5; t = v + 15; f = b + 10; v = n + 18; r = o + 4; o = 5; g = z + 1; i = a + 16. If o = 5, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 10 to f, which gives f = t + 20.\n2. Substitute t = v + 15 to f, which gives f = v + 35.\n3. Substitute v = n + 18 to f, which gives f = n + 53.\n4. Substitute n = r + 6 to f, which gives f = r + 59.\n5. Substitute r = o + 4 to f, which gives f = o + 63.\n6. Substitute o = 5 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 703,
"question": "Consider a system of variables where each variable is defined as follows: n = r + 6; a = u + 6; u = s + 15; z = i + 18; b = t + 10; s = o + 5; t = v + 15; f = b + 10; v = n + 18; r = o + 4; o = 5; g = z + 1; i = a + 16. If o = 5, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 2", "a": "h + 6", "l": "a + 1", "o": "l + 16", "z": "o + 5", "p": "z + 14", "t": "r + 8", "s": "t + 13", "q": "s + 18", "j": "q + 4", "v": "j + 4", "f": "v + 17", "r": 13}, "premises": {"r": 13}, "target": "p"}, "answer": {"steps": [["z", "o + 5", "o + 19"], ["o", "l + 16", "l + 35"], ["l", "a + 1", "a + 36"], ["a", "h + 6", "h + 42"], ["h", "r + 2", "r + 44"], ["r", 13, "57"]], "target_var_name": "p", "target_value": 57, "value_dict": {"r": 13}, "is_reverse": true}} | 704 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = s + 18; j = q + 4; v = j + 4; p = z + 14; z = o + 5; f = v + 17; s = t + 13; l = a + 1; h = r + 2; t = r + 8; o = l + 16; a = h + 6; r = 13. If r = 13, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 5 to p, which gives p = o + 19.\n2. Substitute o = l + 16 to p, which gives p = l + 35.\n3. Substitute l = a + 1 to p, which gives p = a + 36.\n4. Substitute a = h + 6 to p, which gives p = h + 42.\n5. Substitute h = r + 2 to p, which gives p = r + 44.\n6. Substitute r = 13 to p, which gives p = 57.\n\nThus, the final answer is p = \\boxed{57}.",
"index": 704,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = s + 18; j = q + 4; v = j + 4; p = z + 14; z = o + 5; f = v + 17; s = t + 13; l = a + 1; h = r + 2; t = r + 8; o = l + 16; a = h + 6; r = 13. If r = 13, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 6", "n": "f + 5", "d": "n + 16", "u": "d + 16", "y": "u + 7", "r": "y + 11", "g": "o + 17", "t": "g + 8", "b": "t + 4", "m": "b + 20", "h": "m + 17", "v": "h + 17", "o": 4}, "premises": {"o": 4}, "target": "r"}, "answer": {"steps": [["y", "u + 7", "u + 18"], ["u", "d + 16", "d + 34"], ["d", "n + 16", "n + 50"], ["n", "f + 5", "f + 55"], ["f", "o + 6", "o + 61"], ["o", 4, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"o": 4}, "is_reverse": true}} | 705 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 7; u = d + 16; o = 4; d = n + 16; t = g + 8; f = o + 6; n = f + 5; v = h + 17; r = y + 11; h = m + 17; g = o + 17; m = b + 20; b = t + 4. If o = 4, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 7 to r, which gives r = u + 18.\n2. Substitute u = d + 16 to r, which gives r = d + 34.\n3. Substitute d = n + 16 to r, which gives r = n + 50.\n4. Substitute n = f + 5 to r, which gives r = f + 55.\n5. Substitute f = o + 6 to r, which gives r = o + 61.\n6. Substitute o = 4 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 705,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 7; u = d + 16; o = 4; d = n + 16; t = g + 8; f = o + 6; n = f + 5; v = h + 17; r = y + 11; h = m + 17; g = o + 17; m = b + 20; b = t + 4. If o = 4, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 1", "r": "y + 11", "d": "r + 13", "t": "d + 2", "s": "t + 14", "b": "s + 13", "h": "c + 19", "u": "h + 20", "f": "u + 5", "l": "f + 17", "x": "l + 2", "k": "x + 16", "c": 9}, "premises": {"c": 9}, "target": "b"}, "answer": {"steps": [["y", "c + 1", 10], ["r", "y + 11", 21], ["d", "r + 13", 34], ["t", "d + 2", 36], ["s", "t + 14", 50], ["b", "s + 13", 63]], "target_var_name": "b", "target_value": 63, "value_dict": {"c": 9, "y": 10, "r": 21, "d": 34, "t": 36, "s": 50, "b": 63}, "is_reverse": false}} | 706 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = t + 14; x = l + 2; h = c + 19; l = f + 17; f = u + 5; y = c + 1; c = 9; t = d + 2; u = h + 20; b = s + 13; d = r + 13; r = y + 11; k = x + 16. Given that c = 9, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = c + 1, which gives y = 10.\n2. Compute r using r = y + 11, which gives r = 21.\n3. Compute d using d = r + 13, which gives d = 34.\n4. Compute t using t = d + 2, which gives t = 36.\n5. Compute s using s = t + 14, which gives s = 50.\n6. Compute b using b = s + 13, which gives b = 63.\n\nThus, the final answer is b = \\boxed{63}.",
"index": 706,
"question": "Suppose a collection of variables is related by the following definitions: s = t + 14; x = l + 2; h = c + 19; l = f + 17; f = u + 5; y = c + 1; c = 9; t = d + 2; u = h + 20; b = s + 13; d = r + 13; r = y + 11; k = x + 16. Given that c = 9, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 20", "p": "z + 20", "w": "p + 13", "c": "w + 13", "b": "c + 15", "u": "b + 17", "l": "k + 3", "m": "l + 5", "a": "m + 11", "e": "a + 6", "g": "e + 4", "h": "g + 6", "k": 19}, "premises": {"k": 19}, "target": "u"}, "answer": {"steps": [["b", "c + 15", "c + 32"], ["c", "w + 13", "w + 45"], ["w", "p + 13", "p + 58"], ["p", "z + 20", "z + 78"], ["z", "k + 20", "k + 98"], ["k", 19, "117"]], "target_var_name": "u", "target_value": 117, "value_dict": {"k": 19}, "is_reverse": true}} | 707 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = z + 20; z = k + 20; m = l + 5; a = m + 11; w = p + 13; k = 19; l = k + 3; g = e + 4; c = w + 13; e = a + 6; u = b + 17; h = g + 6; b = c + 15. Given that k = 19, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 117,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 15 to u, which gives u = c + 32.\n2. Substitute c = w + 13 to u, which gives u = w + 45.\n3. Substitute w = p + 13 to u, which gives u = p + 58.\n4. Substitute p = z + 20 to u, which gives u = z + 78.\n5. Substitute z = k + 20 to u, which gives u = k + 98.\n6. Substitute k = 19 to u, which gives u = 117.\n\nThus, the final answer is u = \\boxed{117}.",
"index": 707,
"question": "Suppose a collection of variables is related by the following definitions: p = z + 20; z = k + 20; m = l + 5; a = m + 11; w = p + 13; k = 19; l = k + 3; g = e + 4; c = w + 13; e = a + 6; u = b + 17; h = g + 6; b = c + 15. Given that k = 19, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"x": "h + 14", "v": "x + 19", "k": "v + 1", "s": "k + 2", "b": "s + 7", "t": "b + 2", "a": "h + 6", "f": "a + 10", "e": "f + 19", "p": "e + 11", "l": "p + 15", "w": "l + 5", "h": 15}, "premises": {"h": 15}, "target": "t"}, "answer": {"steps": [["x", "h + 14", 29], ["v", "x + 19", 48], ["k", "v + 1", 49], ["s", "k + 2", 51], ["b", "s + 7", 58], ["t", "b + 2", 60]], "target_var_name": "t", "target_value": 60, "value_dict": {"h": 15, "x": 29, "v": 48, "k": 49, "s": 51, "b": 58, "t": 60}, "is_reverse": false}} | 708 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = k + 2; w = l + 5; p = e + 11; h = 15; k = v + 1; v = x + 19; b = s + 7; x = h + 14; t = b + 2; a = h + 6; e = f + 19; l = p + 15; f = a + 10. If h = 15, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = h + 14, which gives x = 29.\n2. Compute v using v = x + 19, which gives v = 48.\n3. Compute k using k = v + 1, which gives k = 49.\n4. Compute s using s = k + 2, which gives s = 51.\n5. Compute b using b = s + 7, which gives b = 58.\n6. Compute t using t = b + 2, which gives t = 60.\n\nThus, the final answer is t = \\boxed{60}.",
"index": 708,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = k + 2; w = l + 5; p = e + 11; h = 15; k = v + 1; v = x + 19; b = s + 7; x = h + 14; t = b + 2; a = h + 6; e = f + 19; l = p + 15; f = a + 10. If h = 15, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 15", "f": "m + 1", "l": "f + 7", "i": "l + 18", "o": "i + 18", "c": "o + 5", "x": "u + 12", "q": "x + 14", "b": "q + 16", "p": "b + 7", "a": "p + 8", "h": "a + 15", "u": 13}, "premises": {"u": 13}, "target": "c"}, "answer": {"steps": [["m", "u + 15", 28], ["f", "m + 1", 29], ["l", "f + 7", 36], ["i", "l + 18", 54], ["o", "i + 18", 72], ["c", "o + 5", 77]], "target_var_name": "c", "target_value": 77, "value_dict": {"u": 13, "m": 28, "f": 29, "l": 36, "i": 54, "o": 72, "c": 77}, "is_reverse": false}} | 709 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = o + 5; f = m + 1; m = u + 15; l = f + 7; q = x + 14; i = l + 18; x = u + 12; o = i + 18; a = p + 8; u = 13; p = b + 7; h = a + 15; b = q + 16. If u = 13, determine the value of c.",
"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 = u + 15, which gives m = 28.\n2. Compute f using f = m + 1, which gives f = 29.\n3. Compute l using l = f + 7, which gives l = 36.\n4. Compute i using i = l + 18, which gives i = 54.\n5. Compute o using o = i + 18, which gives o = 72.\n6. Compute c using c = o + 5, which gives c = 77.\n\nThus, the final answer is c = \\boxed{77}.",
"index": 709,
"question": "Consider a system of variables where each variable is defined as follows: c = o + 5; f = m + 1; m = u + 15; l = f + 7; q = x + 14; i = l + 18; x = u + 12; o = i + 18; a = p + 8; u = 13; p = b + 7; h = a + 15; b = q + 16. If u = 13, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "t + 19", "f": "i + 12", "e": "f + 15", "c": "e + 2", "h": "c + 16", "z": "h + 6", "o": "t + 8", "a": "o + 20", "v": "a + 3", "u": "v + 18", "p": "u + 1", "g": "p + 7", "t": 1}, "premises": {"t": 1}, "target": "z"}, "answer": {"steps": [["i", "t + 19", 20], ["f", "i + 12", 32], ["e", "f + 15", 47], ["c", "e + 2", 49], ["h", "c + 16", 65], ["z", "h + 6", 71]], "target_var_name": "z", "target_value": 71, "value_dict": {"t": 1, "i": 20, "f": 32, "e": 47, "c": 49, "h": 65, "z": 71}, "is_reverse": false}} | 710 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = e + 2; p = u + 1; f = i + 12; i = t + 19; z = h + 6; v = a + 3; g = p + 7; o = t + 8; e = f + 15; a = o + 20; u = v + 18; t = 1; h = c + 16. If t = 1, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = t + 19, which gives i = 20.\n2. Compute f using f = i + 12, which gives f = 32.\n3. Compute e using e = f + 15, which gives e = 47.\n4. Compute c using c = e + 2, which gives c = 49.\n5. Compute h using h = c + 16, which gives h = 65.\n6. Compute z using z = h + 6, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 710,
"question": "Consider a system of variables where each variable is defined as follows: c = e + 2; p = u + 1; f = i + 12; i = t + 19; z = h + 6; v = a + 3; g = p + 7; o = t + 8; e = f + 15; a = o + 20; u = v + 18; t = 1; h = c + 16. If t = 1, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 2", "v": "i + 4", "c": "v + 5", "x": "c + 3", "t": "x + 18", "s": "t + 5", "l": "g + 7", "f": "l + 20", "o": "f + 5", "j": "o + 19", "p": "j + 8", "a": "p + 13", "g": 5}, "premises": {"g": 5}, "target": "s"}, "answer": {"steps": [["t", "x + 18", "x + 23"], ["x", "c + 3", "c + 26"], ["c", "v + 5", "v + 31"], ["v", "i + 4", "i + 35"], ["i", "g + 2", "g + 37"], ["g", 5, "42"]], "target_var_name": "s", "target_value": 42, "value_dict": {"g": 5}, "is_reverse": true}} | 711 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 8; g = 5; t = x + 18; j = o + 19; l = g + 7; c = v + 5; s = t + 5; x = c + 3; o = f + 5; i = g + 2; a = p + 13; f = l + 20; v = i + 4. If g = 5, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 18 to s, which gives s = x + 23.\n2. Substitute x = c + 3 to s, which gives s = c + 26.\n3. Substitute c = v + 5 to s, which gives s = v + 31.\n4. Substitute v = i + 4 to s, which gives s = i + 35.\n5. Substitute i = g + 2 to s, which gives s = g + 37.\n6. Substitute g = 5 to s, which gives s = 42.\n\nThus, the final answer is s = \\boxed{42}.",
"index": 711,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 8; g = 5; t = x + 18; j = o + 19; l = g + 7; c = v + 5; s = t + 5; x = c + 3; o = f + 5; i = g + 2; a = p + 13; f = l + 20; v = i + 4. If g = 5, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 2", "j": "z + 7", "l": "j + 5", "p": "l + 18", "s": "p + 15", "n": "s + 15", "b": "r + 4", "a": "b + 15", "d": "a + 13", "m": "d + 11", "i": "m + 9", "y": "i + 20", "r": 11}, "premises": {"r": 11}, "target": "n"}, "answer": {"steps": [["s", "p + 15", "p + 30"], ["p", "l + 18", "l + 48"], ["l", "j + 5", "j + 53"], ["j", "z + 7", "z + 60"], ["z", "r + 2", "r + 62"], ["r", 11, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"r": 11}, "is_reverse": true}} | 712 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = 11; y = i + 20; z = r + 2; a = b + 15; s = p + 15; l = j + 5; p = l + 18; m = d + 11; i = m + 9; n = s + 15; d = a + 13; b = r + 4; j = z + 7. If r = 11, 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. Substitute s = p + 15 to n, which gives n = p + 30.\n2. Substitute p = l + 18 to n, which gives n = l + 48.\n3. Substitute l = j + 5 to n, which gives n = j + 53.\n4. Substitute j = z + 7 to n, which gives n = z + 60.\n5. Substitute z = r + 2 to n, which gives n = r + 62.\n6. Substitute r = 11 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 712,
"question": "Consider a system of variables where each variable is defined as follows: r = 11; y = i + 20; z = r + 2; a = b + 15; s = p + 15; l = j + 5; p = l + 18; m = d + 11; i = m + 9; n = s + 15; d = a + 13; b = r + 4; j = z + 7. If r = 11, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"n": "j + 13", "v": "n + 12", "d": "v + 3", "b": "d + 13", "e": "b + 10", "p": "e + 6", "q": "j + 9", "r": "q + 2", "s": "r + 13", "h": "s + 11", "w": "h + 7", "t": "w + 10", "j": 17}, "premises": {"j": 17}, "target": "p"}, "answer": {"steps": [["e", "b + 10", "b + 16"], ["b", "d + 13", "d + 29"], ["d", "v + 3", "v + 32"], ["v", "n + 12", "n + 44"], ["n", "j + 13", "j + 57"], ["j", 17, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"j": 17}, "is_reverse": true}} | 713 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = e + 6; e = b + 10; w = h + 7; q = j + 9; n = j + 13; s = r + 13; v = n + 12; h = s + 11; t = w + 10; j = 17; b = d + 13; d = v + 3; r = q + 2. If j = 17, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 10 to p, which gives p = b + 16.\n2. Substitute b = d + 13 to p, which gives p = d + 29.\n3. Substitute d = v + 3 to p, which gives p = v + 32.\n4. Substitute v = n + 12 to p, which gives p = n + 44.\n5. Substitute n = j + 13 to p, which gives p = j + 57.\n6. Substitute j = 17 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 713,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = e + 6; e = b + 10; w = h + 7; q = j + 9; n = j + 13; s = r + 13; v = n + 12; h = s + 11; t = w + 10; j = 17; b = d + 13; d = v + 3; r = q + 2. If j = 17, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"k": "w + 8", "l": "k + 19", "h": "l + 1", "j": "h + 10", "g": "j + 11", "v": "g + 20", "o": "w + 13", "t": "o + 15", "x": "t + 11", "d": "x + 1", "a": "d + 11", "r": "a + 9", "w": 16}, "premises": {"w": 16}, "target": "v"}, "answer": {"steps": [["k", "w + 8", 24], ["l", "k + 19", 43], ["h", "l + 1", 44], ["j", "h + 10", 54], ["g", "j + 11", 65], ["v", "g + 20", 85]], "target_var_name": "v", "target_value": 85, "value_dict": {"w": 16, "k": 24, "l": 43, "h": 44, "j": 54, "g": 65, "v": 85}, "is_reverse": false}} | 714 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = w + 13; l = k + 19; j = h + 10; h = l + 1; v = g + 20; k = w + 8; w = 16; d = x + 1; g = j + 11; r = a + 9; t = o + 15; x = t + 11; a = d + 11. If w = 16, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = w + 8, which gives k = 24.\n2. Compute l using l = k + 19, which gives l = 43.\n3. Compute h using h = l + 1, which gives h = 44.\n4. Compute j using j = h + 10, which gives j = 54.\n5. Compute g using g = j + 11, which gives g = 65.\n6. Compute v using v = g + 20, which gives v = 85.\n\nThus, the final answer is v = \\boxed{85}.",
"index": 714,
"question": "Consider a system of variables where each variable is defined as follows: o = w + 13; l = k + 19; j = h + 10; h = l + 1; v = g + 20; k = w + 8; w = 16; d = x + 1; g = j + 11; r = a + 9; t = o + 15; x = t + 11; a = d + 11. If w = 16, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"w": "t + 12", "m": "w + 4", "h": "m + 8", "o": "h + 5", "v": "o + 11", "c": "v + 15", "d": "t + 15", "j": "d + 20", "e": "j + 8", "x": "e + 3", "y": "x + 16", "s": "y + 20", "t": 19}, "premises": {"t": 19}, "target": "c"}, "answer": {"steps": [["v", "o + 11", "o + 26"], ["o", "h + 5", "h + 31"], ["h", "m + 8", "m + 39"], ["m", "w + 4", "w + 43"], ["w", "t + 12", "t + 55"], ["t", 19, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"t": 19}, "is_reverse": true}} | 715 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = t + 15; e = j + 8; x = e + 3; h = m + 8; v = o + 11; t = 19; y = x + 16; j = d + 20; m = w + 4; o = h + 5; s = y + 20; w = t + 12; c = v + 15. If t = 19, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 11 to c, which gives c = o + 26.\n2. Substitute o = h + 5 to c, which gives c = h + 31.\n3. Substitute h = m + 8 to c, which gives c = m + 39.\n4. Substitute m = w + 4 to c, which gives c = w + 43.\n5. Substitute w = t + 12 to c, which gives c = t + 55.\n6. Substitute t = 19 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 715,
"question": "Consider a system of variables where each variable is defined as follows: d = t + 15; e = j + 8; x = e + 3; h = m + 8; v = o + 11; t = 19; y = x + 16; j = d + 20; m = w + 4; o = h + 5; s = y + 20; w = t + 12; c = v + 15. If t = 19, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 11", "z": "m + 3", "v": "z + 6", "u": "v + 9", "w": "u + 5", "c": "w + 13", "n": "e + 20", "h": "n + 16", "a": "h + 16", "p": "a + 14", "s": "p + 13", "i": "s + 18", "e": 13}, "premises": {"e": 13}, "target": "c"}, "answer": {"steps": [["m", "e + 11", 24], ["z", "m + 3", 27], ["v", "z + 6", 33], ["u", "v + 9", 42], ["w", "u + 5", 47], ["c", "w + 13", 60]], "target_var_name": "c", "target_value": 60, "value_dict": {"e": 13, "m": 24, "z": 27, "v": 33, "u": 42, "w": 47, "c": 60}, "is_reverse": false}} | 716 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = 13; h = n + 16; c = w + 13; i = s + 18; u = v + 9; s = p + 13; w = u + 5; v = z + 6; m = e + 11; p = a + 14; a = h + 16; n = e + 20; z = m + 3. Given that e = 13, find 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. Compute m using m = e + 11, which gives m = 24.\n2. Compute z using z = m + 3, which gives z = 27.\n3. Compute v using v = z + 6, which gives v = 33.\n4. Compute u using u = v + 9, which gives u = 42.\n5. Compute w using w = u + 5, which gives w = 47.\n6. Compute c using c = w + 13, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 716,
"question": "Suppose a collection of variables is related by the following definitions: e = 13; h = n + 16; c = w + 13; i = s + 18; u = v + 9; s = p + 13; w = u + 5; v = z + 6; m = e + 11; p = a + 14; a = h + 16; n = e + 20; z = m + 3. Given that e = 13, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 12", "l": "f + 3", "q": "l + 15", "k": "q + 15", "g": "k + 10", "a": "g + 20", "y": "p + 7", "o": "y + 2", "r": "o + 6", "c": "r + 18", "i": "c + 8", "v": "i + 7", "p": 17}, "premises": {"p": 17}, "target": "a"}, "answer": {"steps": [["f", "p + 12", 29], ["l", "f + 3", 32], ["q", "l + 15", 47], ["k", "q + 15", 62], ["g", "k + 10", 72], ["a", "g + 20", 92]], "target_var_name": "a", "target_value": 92, "value_dict": {"p": 17, "f": 29, "l": 32, "q": 47, "k": 62, "g": 72, "a": 92}, "is_reverse": false}} | 717 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 6; y = p + 7; i = c + 8; o = y + 2; c = r + 18; q = l + 15; f = p + 12; l = f + 3; k = q + 15; g = k + 10; v = i + 7; p = 17; a = g + 20. If p = 17, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = p + 12, which gives f = 29.\n2. Compute l using l = f + 3, which gives l = 32.\n3. Compute q using q = l + 15, which gives q = 47.\n4. Compute k using k = q + 15, which gives k = 62.\n5. Compute g using g = k + 10, which gives g = 72.\n6. Compute a using a = g + 20, which gives a = 92.\n\nThus, the final answer is a = \\boxed{92}.",
"index": 717,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 6; y = p + 7; i = c + 8; o = y + 2; c = r + 18; q = l + 15; f = p + 12; l = f + 3; k = q + 15; g = k + 10; v = i + 7; p = 17; a = g + 20. If p = 17, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 19", "w": "t + 12", "c": "w + 18", "q": "c + 17", "h": "q + 4", "v": "h + 3", "s": "l + 4", "i": "s + 6", "p": "i + 16", "z": "p + 20", "n": "z + 16", "r": "n + 13", "l": 10}, "premises": {"l": 10}, "target": "v"}, "answer": {"steps": [["t", "l + 19", 29], ["w", "t + 12", 41], ["c", "w + 18", 59], ["q", "c + 17", 76], ["h", "q + 4", 80], ["v", "h + 3", 83]], "target_var_name": "v", "target_value": 83, "value_dict": {"l": 10, "t": 29, "w": 41, "c": 59, "q": 76, "h": 80, "v": 83}, "is_reverse": false}} | 718 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = 10; c = w + 18; p = i + 16; w = t + 12; r = n + 13; z = p + 20; v = h + 3; i = s + 6; n = z + 16; t = l + 19; h = q + 4; s = l + 4; q = c + 17. If l = 10, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = l + 19, which gives t = 29.\n2. Compute w using w = t + 12, which gives w = 41.\n3. Compute c using c = w + 18, which gives c = 59.\n4. Compute q using q = c + 17, which gives q = 76.\n5. Compute h using h = q + 4, which gives h = 80.\n6. Compute v using v = h + 3, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 718,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 10; c = w + 18; p = i + 16; w = t + 12; r = n + 13; z = p + 20; v = h + 3; i = s + 6; n = z + 16; t = l + 19; h = q + 4; s = l + 4; q = c + 17. If l = 10, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 18", "d": "z + 5", "o": "d + 12", "b": "o + 3", "n": "b + 8", "r": "n + 6", "a": "t + 16", "j": "a + 17", "k": "j + 15", "y": "k + 11", "s": "y + 4", "x": "s + 12", "t": 13}, "premises": {"t": 13}, "target": "r"}, "answer": {"steps": [["z", "t + 18", 31], ["d", "z + 5", 36], ["o", "d + 12", 48], ["b", "o + 3", 51], ["n", "b + 8", 59], ["r", "n + 6", 65]], "target_var_name": "r", "target_value": 65, "value_dict": {"t": 13, "z": 31, "d": 36, "o": 48, "b": 51, "n": 59, "r": 65}, "is_reverse": false}} | 719 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = t + 16; o = d + 12; k = j + 15; d = z + 5; r = n + 6; b = o + 3; y = k + 11; n = b + 8; j = a + 17; z = t + 18; x = s + 12; s = y + 4; t = 13. If t = 13, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = t + 18, which gives z = 31.\n2. Compute d using d = z + 5, which gives d = 36.\n3. Compute o using o = d + 12, which gives o = 48.\n4. Compute b using b = o + 3, which gives b = 51.\n5. Compute n using n = b + 8, which gives n = 59.\n6. Compute r using r = n + 6, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 719,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = t + 16; o = d + 12; k = j + 15; d = z + 5; r = n + 6; b = o + 3; y = k + 11; n = b + 8; j = a + 17; z = t + 18; x = s + 12; s = y + 4; t = 13. If t = 13, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 4", "h": "g + 15", "n": "h + 18", "f": "n + 19", "k": "f + 14", "x": "k + 18", "j": "e + 10", "w": "j + 11", "c": "w + 20", "d": "c + 6", "l": "d + 12", "v": "l + 3", "e": 5}, "premises": {"e": 5}, "target": "x"}, "answer": {"steps": [["k", "f + 14", "f + 32"], ["f", "n + 19", "n + 51"], ["n", "h + 18", "h + 69"], ["h", "g + 15", "g + 84"], ["g", "e + 4", "e + 88"], ["e", 5, "93"]], "target_var_name": "x", "target_value": 93, "value_dict": {"e": 5}, "is_reverse": true}} | 720 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = n + 19; h = g + 15; c = w + 20; g = e + 4; v = l + 3; w = j + 11; e = 5; x = k + 18; j = e + 10; d = c + 6; k = f + 14; n = h + 18; l = d + 12. Given that e = 5, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 14 to x, which gives x = f + 32.\n2. Substitute f = n + 19 to x, which gives x = n + 51.\n3. Substitute n = h + 18 to x, which gives x = h + 69.\n4. Substitute h = g + 15 to x, which gives x = g + 84.\n5. Substitute g = e + 4 to x, which gives x = e + 88.\n6. Substitute e = 5 to x, which gives x = 93.\n\nThus, the final answer is x = \\boxed{93}.",
"index": 720,
"question": "Suppose a collection of variables is related by the following definitions: f = n + 19; h = g + 15; c = w + 20; g = e + 4; v = l + 3; w = j + 11; e = 5; x = k + 18; j = e + 10; d = c + 6; k = f + 14; n = h + 18; l = d + 12. Given that e = 5, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 19", "m": "p + 17", "t": "m + 13", "v": "t + 15", "e": "v + 3", "h": "e + 10", "i": "a + 12", "o": "i + 8", "f": "o + 4", "q": "f + 6", "k": "q + 3", "c": "k + 12", "a": 8}, "premises": {"a": 8}, "target": "h"}, "answer": {"steps": [["e", "v + 3", "v + 13"], ["v", "t + 15", "t + 28"], ["t", "m + 13", "m + 41"], ["m", "p + 17", "p + 58"], ["p", "a + 19", "a + 77"], ["a", 8, "85"]], "target_var_name": "h", "target_value": 85, "value_dict": {"a": 8}, "is_reverse": true}} | 721 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = i + 8; e = v + 3; a = 8; h = e + 10; v = t + 15; i = a + 12; f = o + 4; k = q + 3; c = k + 12; q = f + 6; m = p + 17; p = a + 19; t = m + 13. Given that a = 8, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 3 to h, which gives h = v + 13.\n2. Substitute v = t + 15 to h, which gives h = t + 28.\n3. Substitute t = m + 13 to h, which gives h = m + 41.\n4. Substitute m = p + 17 to h, which gives h = p + 58.\n5. Substitute p = a + 19 to h, which gives h = a + 77.\n6. Substitute a = 8 to h, which gives h = 85.\n\nThus, the final answer is h = \\boxed{85}.",
"index": 721,
"question": "Suppose a collection of variables is related by the following definitions: o = i + 8; e = v + 3; a = 8; h = e + 10; v = t + 15; i = a + 12; f = o + 4; k = q + 3; c = k + 12; q = f + 6; m = p + 17; p = a + 19; t = m + 13. Given that a = 8, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"j": "w + 9", "o": "j + 8", "l": "o + 12", "n": "l + 4", "q": "n + 4", "g": "q + 7", "x": "w + 17", "t": "x + 10", "h": "t + 13", "c": "h + 7", "r": "c + 7", "f": "r + 14", "w": 15}, "premises": {"w": 15}, "target": "g"}, "answer": {"steps": [["j", "w + 9", 24], ["o", "j + 8", 32], ["l", "o + 12", 44], ["n", "l + 4", 48], ["q", "n + 4", 52], ["g", "q + 7", 59]], "target_var_name": "g", "target_value": 59, "value_dict": {"w": 15, "j": 24, "o": 32, "l": 44, "n": 48, "q": 52, "g": 59}, "is_reverse": false}} | 722 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 15; f = r + 14; r = c + 7; c = h + 7; l = o + 12; n = l + 4; t = x + 10; o = j + 8; x = w + 17; g = q + 7; h = t + 13; q = n + 4; j = w + 9. If w = 15, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = w + 9, which gives j = 24.\n2. Compute o using o = j + 8, which gives o = 32.\n3. Compute l using l = o + 12, which gives l = 44.\n4. Compute n using n = l + 4, which gives n = 48.\n5. Compute q using q = n + 4, which gives q = 52.\n6. Compute g using g = q + 7, which gives g = 59.\n\nThus, the final answer is g = \\boxed{59}.",
"index": 722,
"question": "Consider a system of variables where each variable is defined as follows: w = 15; f = r + 14; r = c + 7; c = h + 7; l = o + 12; n = l + 4; t = x + 10; o = j + 8; x = w + 17; g = q + 7; h = t + 13; q = n + 4; j = w + 9. If w = 15, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 10", "o": "g + 6", "p": "o + 10", "e": "p + 16", "r": "e + 15", "s": "r + 4", "h": "x + 20", "m": "h + 20", "w": "m + 18", "j": "w + 12", "c": "j + 12", "u": "c + 10", "x": 5}, "premises": {"x": 5}, "target": "s"}, "answer": {"steps": [["r", "e + 15", "e + 19"], ["e", "p + 16", "p + 35"], ["p", "o + 10", "o + 45"], ["o", "g + 6", "g + 51"], ["g", "x + 10", "x + 61"], ["x", 5, "66"]], "target_var_name": "s", "target_value": 66, "value_dict": {"x": 5}, "is_reverse": true}} | 723 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 5; u = c + 10; s = r + 4; j = w + 12; w = m + 18; m = h + 20; o = g + 6; r = e + 15; g = x + 10; c = j + 12; e = p + 16; p = o + 10; h = x + 20. Given that x = 5, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 15 to s, which gives s = e + 19.\n2. Substitute e = p + 16 to s, which gives s = p + 35.\n3. Substitute p = o + 10 to s, which gives s = o + 45.\n4. Substitute o = g + 6 to s, which gives s = g + 51.\n5. Substitute g = x + 10 to s, which gives s = x + 61.\n6. Substitute x = 5 to s, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 723,
"question": "Suppose a collection of variables is related by the following definitions: x = 5; u = c + 10; s = r + 4; j = w + 12; w = m + 18; m = h + 20; o = g + 6; r = e + 15; g = x + 10; c = j + 12; e = p + 16; p = o + 10; h = x + 20. Given that x = 5, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "k + 14", "i": "n + 2", "c": "i + 10", "y": "c + 9", "s": "y + 11", "a": "s + 11", "f": "k + 16", "p": "f + 14", "u": "p + 7", "j": "u + 3", "g": "j + 14", "d": "g + 20", "k": 18}, "premises": {"k": 18}, "target": "a"}, "answer": {"steps": [["s", "y + 11", "y + 22"], ["y", "c + 9", "c + 31"], ["c", "i + 10", "i + 41"], ["i", "n + 2", "n + 43"], ["n", "k + 14", "k + 57"], ["k", 18, "75"]], "target_var_name": "a", "target_value": 75, "value_dict": {"k": 18}, "is_reverse": true}} | 724 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = s + 11; i = n + 2; n = k + 14; g = j + 14; k = 18; s = y + 11; y = c + 9; d = g + 20; p = f + 14; c = i + 10; f = k + 16; j = u + 3; u = p + 7. Given that k = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 11 to a, which gives a = y + 22.\n2. Substitute y = c + 9 to a, which gives a = c + 31.\n3. Substitute c = i + 10 to a, which gives a = i + 41.\n4. Substitute i = n + 2 to a, which gives a = n + 43.\n5. Substitute n = k + 14 to a, which gives a = k + 57.\n6. Substitute k = 18 to a, which gives a = 75.\n\nThus, the final answer is a = \\boxed{75}.",
"index": 724,
"question": "Suppose a collection of variables is related by the following definitions: a = s + 11; i = n + 2; n = k + 14; g = j + 14; k = 18; s = y + 11; y = c + 9; d = g + 20; p = f + 14; c = i + 10; f = k + 16; j = u + 3; u = p + 7. Given that k = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"q": "t + 12", "p": "q + 19", "s": "p + 2", "n": "s + 13", "x": "n + 10", "d": "x + 12", "w": "t + 18", "g": "w + 2", "h": "g + 6", "e": "h + 11", "c": "e + 18", "k": "c + 2", "t": 14}, "premises": {"t": 14}, "target": "d"}, "answer": {"steps": [["x", "n + 10", "n + 22"], ["n", "s + 13", "s + 35"], ["s", "p + 2", "p + 37"], ["p", "q + 19", "q + 56"], ["q", "t + 12", "t + 68"], ["t", 14, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"t": 14}, "is_reverse": true}} | 725 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = t + 18; g = w + 2; k = c + 2; x = n + 10; e = h + 11; n = s + 13; q = t + 12; t = 14; p = q + 19; d = x + 12; c = e + 18; h = g + 6; s = p + 2. Given that t = 14, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 10 to d, which gives d = n + 22.\n2. Substitute n = s + 13 to d, which gives d = s + 35.\n3. Substitute s = p + 2 to d, which gives d = p + 37.\n4. Substitute p = q + 19 to d, which gives d = q + 56.\n5. Substitute q = t + 12 to d, which gives d = t + 68.\n6. Substitute t = 14 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 725,
"question": "Suppose a collection of variables is related by the following definitions: w = t + 18; g = w + 2; k = c + 2; x = n + 10; e = h + 11; n = s + 13; q = t + 12; t = 14; p = q + 19; d = x + 12; c = e + 18; h = g + 6; s = p + 2. Given that t = 14, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 11", "z": "h + 1", "e": "z + 11", "s": "e + 1", "p": "s + 15", "d": "p + 13", "x": "r + 4", "t": "x + 10", "y": "t + 17", "w": "y + 6", "c": "w + 11", "q": "c + 13", "r": 9}, "premises": {"r": 9}, "target": "d"}, "answer": {"steps": [["h", "r + 11", 20], ["z", "h + 1", 21], ["e", "z + 11", 32], ["s", "e + 1", 33], ["p", "s + 15", 48], ["d", "p + 13", 61]], "target_var_name": "d", "target_value": 61, "value_dict": {"r": 9, "h": 20, "z": 21, "e": 32, "s": 33, "p": 48, "d": 61}, "is_reverse": false}} | 726 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = w + 11; e = z + 11; p = s + 15; y = t + 17; r = 9; z = h + 1; s = e + 1; d = p + 13; x = r + 4; h = r + 11; w = y + 6; t = x + 10; q = c + 13. Given that r = 9, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = r + 11, which gives h = 20.\n2. Compute z using z = h + 1, which gives z = 21.\n3. Compute e using e = z + 11, which gives e = 32.\n4. Compute s using s = e + 1, which gives s = 33.\n5. Compute p using p = s + 15, which gives p = 48.\n6. Compute d using d = p + 13, which gives d = 61.\n\nThus, the final answer is d = \\boxed{61}.",
"index": 726,
"question": "Suppose a collection of variables is related by the following definitions: c = w + 11; e = z + 11; p = s + 15; y = t + 17; r = 9; z = h + 1; s = e + 1; d = p + 13; x = r + 4; h = r + 11; w = y + 6; t = x + 10; q = c + 13. Given that r = 9, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 3", "y": "o + 16", "z": "y + 5", "r": "z + 13", "l": "r + 4", "h": "l + 20", "n": "f + 2", "k": "n + 14", "b": "k + 6", "v": "b + 12", "p": "v + 18", "g": "p + 4", "f": 12}, "premises": {"f": 12}, "target": "h"}, "answer": {"steps": [["l", "r + 4", "r + 24"], ["r", "z + 13", "z + 37"], ["z", "y + 5", "y + 42"], ["y", "o + 16", "o + 58"], ["o", "f + 3", "f + 61"], ["f", 12, "73"]], "target_var_name": "h", "target_value": 73, "value_dict": {"f": 12}, "is_reverse": true}} | 727 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = l + 20; y = o + 16; v = b + 12; p = v + 18; k = n + 14; n = f + 2; b = k + 6; o = f + 3; f = 12; g = p + 4; l = r + 4; z = y + 5; r = z + 13. If f = 12, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 4 to h, which gives h = r + 24.\n2. Substitute r = z + 13 to h, which gives h = z + 37.\n3. Substitute z = y + 5 to h, which gives h = y + 42.\n4. Substitute y = o + 16 to h, which gives h = o + 58.\n5. Substitute o = f + 3 to h, which gives h = f + 61.\n6. Substitute f = 12 to h, which gives h = 73.\n\nThus, the final answer is h = \\boxed{73}.",
"index": 727,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = l + 20; y = o + 16; v = b + 12; p = v + 18; k = n + 14; n = f + 2; b = k + 6; o = f + 3; f = 12; g = p + 4; l = r + 4; z = y + 5; r = z + 13. If f = 12, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 11", "p": "o + 6", "z": "p + 7", "j": "z + 15", "r": "j + 2", "s": "r + 8", "x": "w + 15", "b": "x + 7", "u": "b + 6", "a": "u + 19", "y": "a + 11", "d": "y + 2", "w": 5}, "premises": {"w": 5}, "target": "s"}, "answer": {"steps": [["r", "j + 2", "j + 10"], ["j", "z + 15", "z + 25"], ["z", "p + 7", "p + 32"], ["p", "o + 6", "o + 38"], ["o", "w + 11", "w + 49"], ["w", 5, "54"]], "target_var_name": "s", "target_value": 54, "value_dict": {"w": 5}, "is_reverse": true}} | 728 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = x + 7; p = o + 6; x = w + 15; r = j + 2; o = w + 11; w = 5; j = z + 15; s = r + 8; u = b + 6; z = p + 7; a = u + 19; d = y + 2; y = a + 11. If w = 5, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 2 to s, which gives s = j + 10.\n2. Substitute j = z + 15 to s, which gives s = z + 25.\n3. Substitute z = p + 7 to s, which gives s = p + 32.\n4. Substitute p = o + 6 to s, which gives s = o + 38.\n5. Substitute o = w + 11 to s, which gives s = w + 49.\n6. Substitute w = 5 to s, which gives s = 54.\n\nThus, the final answer is s = \\boxed{54}.",
"index": 728,
"question": "Consider a system of variables where each variable is defined as follows: b = x + 7; p = o + 6; x = w + 15; r = j + 2; o = w + 11; w = 5; j = z + 15; s = r + 8; u = b + 6; z = p + 7; a = u + 19; d = y + 2; y = a + 11. If w = 5, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 5", "a": "y + 5", "t": "a + 9", "v": "t + 1", "c": "v + 17", "r": "c + 13", "h": "n + 9", "g": "h + 15", "m": "g + 16", "q": "m + 20", "i": "q + 7", "z": "i + 17", "n": 20}, "premises": {"n": 20}, "target": "r"}, "answer": {"steps": [["y", "n + 5", 25], ["a", "y + 5", 30], ["t", "a + 9", 39], ["v", "t + 1", 40], ["c", "v + 17", 57], ["r", "c + 13", 70]], "target_var_name": "r", "target_value": 70, "value_dict": {"n": 20, "y": 25, "a": 30, "t": 39, "v": 40, "c": 57, "r": 70}, "is_reverse": false}} | 729 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = t + 1; g = h + 15; t = a + 9; m = g + 16; h = n + 9; n = 20; i = q + 7; z = i + 17; q = m + 20; c = v + 17; a = y + 5; y = n + 5; r = c + 13. Given that n = 20, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = n + 5, which gives y = 25.\n2. Compute a using a = y + 5, which gives a = 30.\n3. Compute t using t = a + 9, which gives t = 39.\n4. Compute v using v = t + 1, which gives v = 40.\n5. Compute c using c = v + 17, which gives c = 57.\n6. Compute r using r = c + 13, which gives r = 70.\n\nThus, the final answer is r = \\boxed{70}.",
"index": 729,
"question": "Suppose a collection of variables is related by the following definitions: v = t + 1; g = h + 15; t = a + 9; m = g + 16; h = n + 9; n = 20; i = q + 7; z = i + 17; q = m + 20; c = v + 17; a = y + 5; y = n + 5; r = c + 13. Given that n = 20, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"k": "w + 10", "l": "k + 14", "j": "l + 2", "n": "j + 2", "r": "n + 8", "d": "r + 12", "z": "w + 2", "m": "z + 1", "o": "m + 15", "i": "o + 8", "g": "i + 6", "u": "g + 4", "w": 18}, "premises": {"w": 18}, "target": "d"}, "answer": {"steps": [["k", "w + 10", 28], ["l", "k + 14", 42], ["j", "l + 2", 44], ["n", "j + 2", 46], ["r", "n + 8", 54], ["d", "r + 12", 66]], "target_var_name": "d", "target_value": 66, "value_dict": {"w": 18, "k": 28, "l": 42, "j": 44, "n": 46, "r": 54, "d": 66}, "is_reverse": false}} | 730 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = 18; i = o + 8; u = g + 4; o = m + 15; j = l + 2; l = k + 14; d = r + 12; n = j + 2; g = i + 6; z = w + 2; r = n + 8; k = w + 10; m = z + 1. If w = 18, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = w + 10, which gives k = 28.\n2. Compute l using l = k + 14, which gives l = 42.\n3. Compute j using j = l + 2, which gives j = 44.\n4. Compute n using n = j + 2, which gives n = 46.\n5. Compute r using r = n + 8, which gives r = 54.\n6. Compute d using d = r + 12, which gives d = 66.\n\nThus, the final answer is d = \\boxed{66}.",
"index": 730,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 18; i = o + 8; u = g + 4; o = m + 15; j = l + 2; l = k + 14; d = r + 12; n = j + 2; g = i + 6; z = w + 2; r = n + 8; k = w + 10; m = z + 1. If w = 18, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 4", "d": "q + 7", "j": "d + 20", "y": "j + 15", "i": "y + 9", "s": "i + 20", "t": "g + 9", "x": "t + 4", "p": "x + 9", "u": "p + 6", "k": "u + 19", "e": "k + 9", "g": 19}, "premises": {"g": 19}, "target": "s"}, "answer": {"steps": [["q", "g + 4", 23], ["d", "q + 7", 30], ["j", "d + 20", 50], ["y", "j + 15", 65], ["i", "y + 9", 74], ["s", "i + 20", 94]], "target_var_name": "s", "target_value": 94, "value_dict": {"g": 19, "q": 23, "d": 30, "j": 50, "y": 65, "i": 74, "s": 94}, "is_reverse": false}} | 731 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = q + 7; k = u + 19; g = 19; x = t + 4; e = k + 9; j = d + 20; i = y + 9; y = j + 15; s = i + 20; t = g + 9; u = p + 6; p = x + 9; q = g + 4. If g = 19, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = g + 4, which gives q = 23.\n2. Compute d using d = q + 7, which gives d = 30.\n3. Compute j using j = d + 20, which gives j = 50.\n4. Compute y using y = j + 15, which gives y = 65.\n5. Compute i using i = y + 9, which gives i = 74.\n6. Compute s using s = i + 20, which gives s = 94.\n\nThus, the final answer is s = \\boxed{94}.",
"index": 731,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = q + 7; k = u + 19; g = 19; x = t + 4; e = k + 9; j = d + 20; i = y + 9; y = j + 15; s = i + 20; t = g + 9; u = p + 6; p = x + 9; q = g + 4. If g = 19, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 15", "k": "a + 3", "u": "k + 3", "j": "u + 18", "v": "j + 1", "t": "v + 14", "c": "i + 17", "n": "c + 10", "d": "n + 14", "g": "d + 11", "m": "g + 14", "x": "m + 5", "i": 20}, "premises": {"i": 20}, "target": "t"}, "answer": {"steps": [["a", "i + 15", 35], ["k", "a + 3", 38], ["u", "k + 3", 41], ["j", "u + 18", 59], ["v", "j + 1", 60], ["t", "v + 14", 74]], "target_var_name": "t", "target_value": 74, "value_dict": {"i": 20, "a": 35, "k": 38, "u": 41, "j": 59, "v": 60, "t": 74}, "is_reverse": false}} | 732 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 20; d = n + 14; j = u + 18; t = v + 14; a = i + 15; n = c + 10; g = d + 11; c = i + 17; k = a + 3; v = j + 1; u = k + 3; m = g + 14; x = m + 5. If i = 20, determine 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. Compute a using a = i + 15, which gives a = 35.\n2. Compute k using k = a + 3, which gives k = 38.\n3. Compute u using u = k + 3, which gives u = 41.\n4. Compute j using j = u + 18, which gives j = 59.\n5. Compute v using v = j + 1, which gives v = 60.\n6. Compute t using t = v + 14, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 732,
"question": "Consider a system of variables where each variable is defined as follows: i = 20; d = n + 14; j = u + 18; t = v + 14; a = i + 15; n = c + 10; g = d + 11; c = i + 17; k = a + 3; v = j + 1; u = k + 3; m = g + 14; x = m + 5. If i = 20, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 10", "y": "d + 14", "m": "y + 17", "c": "m + 15", "z": "c + 5", "u": "z + 17", "t": "p + 20", "x": "t + 6", "e": "x + 19", "k": "e + 12", "i": "k + 20", "g": "i + 8", "p": 15}, "premises": {"p": 15}, "target": "u"}, "answer": {"steps": [["z", "c + 5", "c + 22"], ["c", "m + 15", "m + 37"], ["m", "y + 17", "y + 54"], ["y", "d + 14", "d + 68"], ["d", "p + 10", "p + 78"], ["p", 15, "93"]], "target_var_name": "u", "target_value": 93, "value_dict": {"p": 15}, "is_reverse": true}} | 733 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 12; x = t + 6; e = x + 19; p = 15; z = c + 5; d = p + 10; g = i + 8; y = d + 14; i = k + 20; c = m + 15; t = p + 20; u = z + 17; m = y + 17. If p = 15, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 5 to u, which gives u = c + 22.\n2. Substitute c = m + 15 to u, which gives u = m + 37.\n3. Substitute m = y + 17 to u, which gives u = y + 54.\n4. Substitute y = d + 14 to u, which gives u = d + 68.\n5. Substitute d = p + 10 to u, which gives u = p + 78.\n6. Substitute p = 15 to u, which gives u = 93.\n\nThus, the final answer is u = \\boxed{93}.",
"index": 733,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 12; x = t + 6; e = x + 19; p = 15; z = c + 5; d = p + 10; g = i + 8; y = d + 14; i = k + 20; c = m + 15; t = p + 20; u = z + 17; m = y + 17. If p = 15, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"m": "a + 12", "d": "m + 3", "r": "d + 17", "j": "r + 5", "e": "j + 19", "n": "e + 13", "l": "a + 16", "t": "l + 13", "f": "t + 6", "c": "f + 17", "y": "c + 10", "b": "y + 16", "a": 13}, "premises": {"a": 13}, "target": "n"}, "answer": {"steps": [["m", "a + 12", 25], ["d", "m + 3", 28], ["r", "d + 17", 45], ["j", "r + 5", 50], ["e", "j + 19", 69], ["n", "e + 13", 82]], "target_var_name": "n", "target_value": 82, "value_dict": {"a": 13, "m": 25, "d": 28, "r": 45, "j": 50, "e": 69, "n": 82}, "is_reverse": false}} | 734 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = y + 16; l = a + 16; d = m + 3; r = d + 17; j = r + 5; a = 13; m = a + 12; f = t + 6; y = c + 10; n = e + 13; e = j + 19; t = l + 13; c = f + 17. If a = 13, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = a + 12, which gives m = 25.\n2. Compute d using d = m + 3, which gives d = 28.\n3. Compute r using r = d + 17, which gives r = 45.\n4. Compute j using j = r + 5, which gives j = 50.\n5. Compute e using e = j + 19, which gives e = 69.\n6. Compute n using n = e + 13, which gives n = 82.\n\nThus, the final answer is n = \\boxed{82}.",
"index": 734,
"question": "Consider a system of variables where each variable is defined as follows: b = y + 16; l = a + 16; d = m + 3; r = d + 17; j = r + 5; a = 13; m = a + 12; f = t + 6; y = c + 10; n = e + 13; e = j + 19; t = l + 13; c = f + 17. If a = 13, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 17", "o": "a + 9", "q": "o + 20", "m": "q + 20", "b": "m + 4", "e": "b + 6", "t": "p + 14", "h": "t + 20", "j": "h + 6", "f": "j + 11", "l": "f + 13", "c": "l + 9", "p": 3}, "premises": {"p": 3}, "target": "e"}, "answer": {"steps": [["a", "p + 17", 20], ["o", "a + 9", 29], ["q", "o + 20", 49], ["m", "q + 20", 69], ["b", "m + 4", 73], ["e", "b + 6", 79]], "target_var_name": "e", "target_value": 79, "value_dict": {"p": 3, "a": 20, "o": 29, "q": 49, "m": 69, "b": 73, "e": 79}, "is_reverse": false}} | 735 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = p + 17; e = b + 6; t = p + 14; l = f + 13; p = 3; b = m + 4; q = o + 20; f = j + 11; c = l + 9; j = h + 6; o = a + 9; h = t + 20; m = q + 20. If p = 3, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = p + 17, which gives a = 20.\n2. Compute o using o = a + 9, which gives o = 29.\n3. Compute q using q = o + 20, which gives q = 49.\n4. Compute m using m = q + 20, which gives m = 69.\n5. Compute b using b = m + 4, which gives b = 73.\n6. Compute e using e = b + 6, which gives e = 79.\n\nThus, the final answer is e = \\boxed{79}.",
"index": 735,
"question": "Consider a system of variables where each variable is defined as follows: a = p + 17; e = b + 6; t = p + 14; l = f + 13; p = 3; b = m + 4; q = o + 20; f = j + 11; c = l + 9; j = h + 6; o = a + 9; h = t + 20; m = q + 20. If p = 3, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 1", "p": "g + 4", "e": "p + 7", "c": "e + 2", "d": "c + 12", "b": "d + 15", "r": "i + 3", "o": "r + 5", "v": "o + 18", "j": "v + 5", "a": "j + 17", "f": "a + 9", "i": 17}, "premises": {"i": 17}, "target": "b"}, "answer": {"steps": [["d", "c + 12", "c + 27"], ["c", "e + 2", "e + 29"], ["e", "p + 7", "p + 36"], ["p", "g + 4", "g + 40"], ["g", "i + 1", "i + 41"], ["i", 17, "58"]], "target_var_name": "b", "target_value": 58, "value_dict": {"i": 17}, "is_reverse": true}} | 736 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = c + 12; p = g + 4; b = d + 15; i = 17; g = i + 1; o = r + 5; v = o + 18; c = e + 2; r = i + 3; a = j + 17; f = a + 9; j = v + 5; e = p + 7. If i = 17, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 12 to b, which gives b = c + 27.\n2. Substitute c = e + 2 to b, which gives b = e + 29.\n3. Substitute e = p + 7 to b, which gives b = p + 36.\n4. Substitute p = g + 4 to b, which gives b = g + 40.\n5. Substitute g = i + 1 to b, which gives b = i + 41.\n6. Substitute i = 17 to b, which gives b = 58.\n\nThus, the final answer is b = \\boxed{58}.",
"index": 736,
"question": "Consider a system of variables where each variable is defined as follows: d = c + 12; p = g + 4; b = d + 15; i = 17; g = i + 1; o = r + 5; v = o + 18; c = e + 2; r = i + 3; a = j + 17; f = a + 9; j = v + 5; e = p + 7. If i = 17, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 20", "u": "g + 13", "d": "u + 17", "w": "d + 6", "r": "w + 19", "e": "r + 12", "j": "n + 6", "y": "j + 8", "s": "y + 13", "v": "s + 8", "i": "v + 6", "x": "i + 4", "n": 9}, "premises": {"n": 9}, "target": "e"}, "answer": {"steps": [["g", "n + 20", 29], ["u", "g + 13", 42], ["d", "u + 17", 59], ["w", "d + 6", 65], ["r", "w + 19", 84], ["e", "r + 12", 96]], "target_var_name": "e", "target_value": 96, "value_dict": {"n": 9, "g": 29, "u": 42, "d": 59, "w": 65, "r": 84, "e": 96}, "is_reverse": false}} | 737 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = u + 17; u = g + 13; v = s + 8; w = d + 6; n = 9; g = n + 20; x = i + 4; i = v + 6; r = w + 19; y = j + 8; e = r + 12; j = n + 6; s = y + 13. If n = 9, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = n + 20, which gives g = 29.\n2. Compute u using u = g + 13, which gives u = 42.\n3. Compute d using d = u + 17, which gives d = 59.\n4. Compute w using w = d + 6, which gives w = 65.\n5. Compute r using r = w + 19, which gives r = 84.\n6. Compute e using e = r + 12, which gives e = 96.\n\nThus, the final answer is e = \\boxed{96}.",
"index": 737,
"question": "Consider a system of variables where each variable is defined as follows: d = u + 17; u = g + 13; v = s + 8; w = d + 6; n = 9; g = n + 20; x = i + 4; i = v + 6; r = w + 19; y = j + 8; e = r + 12; j = n + 6; s = y + 13. If n = 9, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 12", "y": "o + 14", "v": "y + 3", "s": "v + 8", "x": "s + 5", "l": "x + 19", "b": "g + 4", "z": "b + 13", "p": "z + 9", "d": "p + 1", "a": "d + 8", "k": "a + 4", "g": 16}, "premises": {"g": 16}, "target": "l"}, "answer": {"steps": [["o", "g + 12", 28], ["y", "o + 14", 42], ["v", "y + 3", 45], ["s", "v + 8", 53], ["x", "s + 5", 58], ["l", "x + 19", 77]], "target_var_name": "l", "target_value": 77, "value_dict": {"g": 16, "o": 28, "y": 42, "v": 45, "s": 53, "x": 58, "l": 77}, "is_reverse": false}} | 738 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = p + 1; y = o + 14; s = v + 8; b = g + 4; a = d + 8; v = y + 3; z = b + 13; x = s + 5; p = z + 9; o = g + 12; l = x + 19; g = 16; k = a + 4. Given that g = 16, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = g + 12, which gives o = 28.\n2. Compute y using y = o + 14, which gives y = 42.\n3. Compute v using v = y + 3, which gives v = 45.\n4. Compute s using s = v + 8, which gives s = 53.\n5. Compute x using x = s + 5, which gives x = 58.\n6. Compute l using l = x + 19, which gives l = 77.\n\nThus, the final answer is l = \\boxed{77}.",
"index": 738,
"question": "Suppose a collection of variables is related by the following definitions: d = p + 1; y = o + 14; s = v + 8; b = g + 4; a = d + 8; v = y + 3; z = b + 13; x = s + 5; p = z + 9; o = g + 12; l = x + 19; g = 16; k = a + 4. Given that g = 16, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"u": "h + 6", "z": "u + 3", "w": "z + 10", "t": "w + 2", "c": "t + 12", "n": "c + 18", "k": "h + 8", "e": "k + 8", "x": "e + 20", "s": "x + 14", "v": "s + 7", "p": "v + 2", "h": 8}, "premises": {"h": 8}, "target": "n"}, "answer": {"steps": [["u", "h + 6", 14], ["z", "u + 3", 17], ["w", "z + 10", 27], ["t", "w + 2", 29], ["c", "t + 12", 41], ["n", "c + 18", 59]], "target_var_name": "n", "target_value": 59, "value_dict": {"h": 8, "u": 14, "z": 17, "w": 27, "t": 29, "c": 41, "n": 59}, "is_reverse": false}} | 739 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = h + 8; t = w + 2; u = h + 6; e = k + 8; p = v + 2; c = t + 12; s = x + 14; n = c + 18; h = 8; v = s + 7; z = u + 3; x = e + 20; w = z + 10. Given that h = 8, find the 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 u using u = h + 6, which gives u = 14.\n2. Compute z using z = u + 3, which gives z = 17.\n3. Compute w using w = z + 10, which gives w = 27.\n4. Compute t using t = w + 2, which gives t = 29.\n5. Compute c using c = t + 12, which gives c = 41.\n6. Compute n using n = c + 18, which gives n = 59.\n\nThus, the final answer is n = \\boxed{59}.",
"index": 739,
"question": "Suppose a collection of variables is related by the following definitions: k = h + 8; t = w + 2; u = h + 6; e = k + 8; p = v + 2; c = t + 12; s = x + 14; n = c + 18; h = 8; v = s + 7; z = u + 3; x = e + 20; w = z + 10. Given that h = 8, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 6", "f": "x + 20", "z": "f + 9", "y": "z + 7", "w": "y + 13", "b": "w + 4", "h": "q + 5", "l": "h + 7", "n": "l + 10", "d": "n + 14", "k": "d + 4", "m": "k + 2", "q": 18}, "premises": {"q": 18}, "target": "b"}, "answer": {"steps": [["x", "q + 6", 24], ["f", "x + 20", 44], ["z", "f + 9", 53], ["y", "z + 7", 60], ["w", "y + 13", 73], ["b", "w + 4", 77]], "target_var_name": "b", "target_value": 77, "value_dict": {"q": 18, "x": 24, "f": 44, "z": 53, "y": 60, "w": 73, "b": 77}, "is_reverse": false}} | 740 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = z + 7; n = l + 10; x = q + 6; w = y + 13; k = d + 4; q = 18; d = n + 14; f = x + 20; l = h + 7; m = k + 2; b = w + 4; z = f + 9; h = q + 5. Given that q = 18, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = q + 6, which gives x = 24.\n2. Compute f using f = x + 20, which gives f = 44.\n3. Compute z using z = f + 9, which gives z = 53.\n4. Compute y using y = z + 7, which gives y = 60.\n5. Compute w using w = y + 13, which gives w = 73.\n6. Compute b using b = w + 4, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 740,
"question": "Suppose a collection of variables is related by the following definitions: y = z + 7; n = l + 10; x = q + 6; w = y + 13; k = d + 4; q = 18; d = n + 14; f = x + 20; l = h + 7; m = k + 2; b = w + 4; z = f + 9; h = q + 5. Given that q = 18, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 17", "u": "e + 11", "l": "u + 17", "m": "l + 2", "i": "m + 8", "o": "i + 14", "r": "g + 9", "z": "r + 18", "p": "z + 2", "a": "p + 15", "h": "a + 10", "x": "h + 11", "g": 2}, "premises": {"g": 2}, "target": "o"}, "answer": {"steps": [["e", "g + 17", 19], ["u", "e + 11", 30], ["l", "u + 17", 47], ["m", "l + 2", 49], ["i", "m + 8", 57], ["o", "i + 14", 71]], "target_var_name": "o", "target_value": 71, "value_dict": {"g": 2, "e": 19, "u": 30, "l": 47, "m": 49, "i": 57, "o": 71}, "is_reverse": false}} | 741 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 18; p = z + 2; a = p + 15; x = h + 11; m = l + 2; u = e + 11; l = u + 17; h = a + 10; r = g + 9; e = g + 17; g = 2; i = m + 8; o = i + 14. If g = 2, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = g + 17, which gives e = 19.\n2. Compute u using u = e + 11, which gives u = 30.\n3. Compute l using l = u + 17, which gives l = 47.\n4. Compute m using m = l + 2, which gives m = 49.\n5. Compute i using i = m + 8, which gives i = 57.\n6. Compute o using o = i + 14, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 741,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 18; p = z + 2; a = p + 15; x = h + 11; m = l + 2; u = e + 11; l = u + 17; h = a + 10; r = g + 9; e = g + 17; g = 2; i = m + 8; o = i + 14. If g = 2, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 9", "w": "l + 16", "i": "w + 15", "e": "i + 20", "p": "e + 13", "c": "p + 7", "q": "u + 4", "o": "q + 18", "z": "o + 5", "x": "z + 15", "k": "x + 5", "b": "k + 20", "u": 1}, "premises": {"u": 1}, "target": "c"}, "answer": {"steps": [["l", "u + 9", 10], ["w", "l + 16", 26], ["i", "w + 15", 41], ["e", "i + 20", 61], ["p", "e + 13", 74], ["c", "p + 7", 81]], "target_var_name": "c", "target_value": 81, "value_dict": {"u": 1, "l": 10, "w": 26, "i": 41, "e": 61, "p": 74, "c": 81}, "is_reverse": false}} | 742 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = i + 20; l = u + 9; c = p + 7; p = e + 13; b = k + 20; k = x + 5; q = u + 4; z = o + 5; w = l + 16; i = w + 15; o = q + 18; u = 1; x = z + 15. If u = 1, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = u + 9, which gives l = 10.\n2. Compute w using w = l + 16, which gives w = 26.\n3. Compute i using i = w + 15, which gives i = 41.\n4. Compute e using e = i + 20, which gives e = 61.\n5. Compute p using p = e + 13, which gives p = 74.\n6. Compute c using c = p + 7, which gives c = 81.\n\nThus, the final answer is c = \\boxed{81}.",
"index": 742,
"question": "Consider a system of variables where each variable is defined as follows: e = i + 20; l = u + 9; c = p + 7; p = e + 13; b = k + 20; k = x + 5; q = u + 4; z = o + 5; w = l + 16; i = w + 15; o = q + 18; u = 1; x = z + 15. If u = 1, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 11", "o": "c + 20", "d": "o + 8", "p": "d + 17", "h": "p + 7", "t": "h + 18", "r": "z + 11", "j": "r + 19", "m": "j + 14", "f": "m + 15", "e": "f + 4", "l": "e + 14", "z": 12}, "premises": {"z": 12}, "target": "t"}, "answer": {"steps": [["h", "p + 7", "p + 25"], ["p", "d + 17", "d + 42"], ["d", "o + 8", "o + 50"], ["o", "c + 20", "c + 70"], ["c", "z + 11", "z + 81"], ["z", 12, "93"]], "target_var_name": "t", "target_value": 93, "value_dict": {"z": 12}, "is_reverse": true}} | 743 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = m + 15; h = p + 7; z = 12; j = r + 19; p = d + 17; c = z + 11; t = h + 18; m = j + 14; r = z + 11; e = f + 4; d = o + 8; o = c + 20; l = e + 14. Given that z = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 7 to t, which gives t = p + 25.\n2. Substitute p = d + 17 to t, which gives t = d + 42.\n3. Substitute d = o + 8 to t, which gives t = o + 50.\n4. Substitute o = c + 20 to t, which gives t = c + 70.\n5. Substitute c = z + 11 to t, which gives t = z + 81.\n6. Substitute z = 12 to t, which gives t = 93.\n\nThus, the final answer is t = \\boxed{93}.",
"index": 743,
"question": "Suppose a collection of variables is related by the following definitions: f = m + 15; h = p + 7; z = 12; j = r + 19; p = d + 17; c = z + 11; t = h + 18; m = j + 14; r = z + 11; e = f + 4; d = o + 8; o = c + 20; l = e + 14. Given that z = 12, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"z": "p + 19", "w": "z + 11", "j": "w + 7", "t": "j + 2", "h": "t + 12", "g": "h + 10", "y": "p + 18", "k": "y + 19", "x": "k + 16", "l": "x + 10", "v": "l + 11", "i": "v + 4", "p": 5}, "premises": {"p": 5}, "target": "g"}, "answer": {"steps": [["h", "t + 12", "t + 22"], ["t", "j + 2", "j + 24"], ["j", "w + 7", "w + 31"], ["w", "z + 11", "z + 42"], ["z", "p + 19", "p + 61"], ["p", 5, "66"]], "target_var_name": "g", "target_value": 66, "value_dict": {"p": 5}, "is_reverse": true}} | 744 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = t + 12; w = z + 11; g = h + 10; i = v + 4; x = k + 16; v = l + 11; j = w + 7; p = 5; k = y + 19; l = x + 10; t = j + 2; y = p + 18; z = p + 19. Given that p = 5, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 12 to g, which gives g = t + 22.\n2. Substitute t = j + 2 to g, which gives g = j + 24.\n3. Substitute j = w + 7 to g, which gives g = w + 31.\n4. Substitute w = z + 11 to g, which gives g = z + 42.\n5. Substitute z = p + 19 to g, which gives g = p + 61.\n6. Substitute p = 5 to g, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 744,
"question": "Suppose a collection of variables is related by the following definitions: h = t + 12; w = z + 11; g = h + 10; i = v + 4; x = k + 16; v = l + 11; j = w + 7; p = 5; k = y + 19; l = x + 10; t = j + 2; y = p + 18; z = p + 19. Given that p = 5, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"i": "k + 17", "y": "i + 15", "h": "y + 9", "p": "h + 2", "f": "p + 17", "m": "f + 12", "a": "k + 6", "w": "a + 2", "s": "w + 14", "q": "s + 18", "d": "q + 8", "x": "d + 15", "k": 12}, "premises": {"k": 12}, "target": "m"}, "answer": {"steps": [["i", "k + 17", 29], ["y", "i + 15", 44], ["h", "y + 9", 53], ["p", "h + 2", 55], ["f", "p + 17", 72], ["m", "f + 12", 84]], "target_var_name": "m", "target_value": 84, "value_dict": {"k": 12, "i": 29, "y": 44, "h": 53, "p": 55, "f": 72, "m": 84}, "is_reverse": false}} | 745 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = a + 2; y = i + 15; x = d + 15; p = h + 2; f = p + 17; k = 12; h = y + 9; s = w + 14; i = k + 17; q = s + 18; a = k + 6; m = f + 12; d = q + 8. Given that k = 12, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = k + 17, which gives i = 29.\n2. Compute y using y = i + 15, which gives y = 44.\n3. Compute h using h = y + 9, which gives h = 53.\n4. Compute p using p = h + 2, which gives p = 55.\n5. Compute f using f = p + 17, which gives f = 72.\n6. Compute m using m = f + 12, which gives m = 84.\n\nThus, the final answer is m = \\boxed{84}.",
"index": 745,
"question": "Suppose a collection of variables is related by the following definitions: w = a + 2; y = i + 15; x = d + 15; p = h + 2; f = p + 17; k = 12; h = y + 9; s = w + 14; i = k + 17; q = s + 18; a = k + 6; m = f + 12; d = q + 8. Given that k = 12, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 4", "l": "a + 12", "y": "l + 3", "z": "y + 12", "u": "z + 9", "h": "u + 12", "m": "p + 1", "v": "m + 12", "q": "v + 4", "c": "q + 1", "s": "c + 10", "n": "s + 20", "p": 1}, "premises": {"p": 1}, "target": "h"}, "answer": {"steps": [["a", "p + 4", 5], ["l", "a + 12", 17], ["y", "l + 3", 20], ["z", "y + 12", 32], ["u", "z + 9", 41], ["h", "u + 12", 53]], "target_var_name": "h", "target_value": 53, "value_dict": {"p": 1, "a": 5, "l": 17, "y": 20, "z": 32, "u": 41, "h": 53}, "is_reverse": false}} | 746 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = p + 4; q = v + 4; u = z + 9; h = u + 12; z = y + 12; m = p + 1; c = q + 1; s = c + 10; v = m + 12; n = s + 20; l = a + 12; y = l + 3; p = 1. Given that p = 1, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = p + 4, which gives a = 5.\n2. Compute l using l = a + 12, which gives l = 17.\n3. Compute y using y = l + 3, which gives y = 20.\n4. Compute z using z = y + 12, which gives z = 32.\n5. Compute u using u = z + 9, which gives u = 41.\n6. Compute h using h = u + 12, which gives h = 53.\n\nThus, the final answer is h = \\boxed{53}.",
"index": 746,
"question": "Suppose a collection of variables is related by the following definitions: a = p + 4; q = v + 4; u = z + 9; h = u + 12; z = y + 12; m = p + 1; c = q + 1; s = c + 10; v = m + 12; n = s + 20; l = a + 12; y = l + 3; p = 1. Given that p = 1, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"h": "i + 14", "v": "h + 8", "t": "v + 16", "x": "t + 15", "l": "x + 11", "k": "l + 10", "j": "i + 3", "b": "j + 20", "c": "b + 1", "m": "c + 2", "o": "m + 2", "p": "o + 2", "i": 9}, "premises": {"i": 9}, "target": "k"}, "answer": {"steps": [["h", "i + 14", 23], ["v", "h + 8", 31], ["t", "v + 16", 47], ["x", "t + 15", 62], ["l", "x + 11", 73], ["k", "l + 10", 83]], "target_var_name": "k", "target_value": 83, "value_dict": {"i": 9, "h": 23, "v": 31, "t": 47, "x": 62, "l": 73, "k": 83}, "is_reverse": false}} | 747 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 3; t = v + 16; c = b + 1; h = i + 14; l = x + 11; x = t + 15; b = j + 20; p = o + 2; m = c + 2; v = h + 8; o = m + 2; i = 9; k = l + 10. If i = 9, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = i + 14, which gives h = 23.\n2. Compute v using v = h + 8, which gives v = 31.\n3. Compute t using t = v + 16, which gives t = 47.\n4. Compute x using x = t + 15, which gives x = 62.\n5. Compute l using l = x + 11, which gives l = 73.\n6. Compute k using k = l + 10, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 747,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 3; t = v + 16; c = b + 1; h = i + 14; l = x + 11; x = t + 15; b = j + 20; p = o + 2; m = c + 2; v = h + 8; o = m + 2; i = 9; k = l + 10. If i = 9, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 2", "b": "k + 2", "x": "b + 17", "y": "x + 20", "a": "y + 6", "c": "a + 1", "q": "r + 10", "m": "q + 16", "z": "m + 17", "h": "z + 14", "w": "h + 9", "j": "w + 9", "r": 2}, "premises": {"r": 2}, "target": "c"}, "answer": {"steps": [["a", "y + 6", "y + 7"], ["y", "x + 20", "x + 27"], ["x", "b + 17", "b + 44"], ["b", "k + 2", "k + 46"], ["k", "r + 2", "r + 48"], ["r", 2, "50"]], "target_var_name": "c", "target_value": 50, "value_dict": {"r": 2}, "is_reverse": true}} | 748 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 2; a = y + 6; w = h + 9; q = r + 10; r = 2; x = b + 17; j = w + 9; h = z + 14; m = q + 16; k = r + 2; z = m + 17; c = a + 1; y = x + 20. If r = 2, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 6 to c, which gives c = y + 7.\n2. Substitute y = x + 20 to c, which gives c = x + 27.\n3. Substitute x = b + 17 to c, which gives c = b + 44.\n4. Substitute b = k + 2 to c, which gives c = k + 46.\n5. Substitute k = r + 2 to c, which gives c = r + 48.\n6. Substitute r = 2 to c, which gives c = 50.\n\nThus, the final answer is c = \\boxed{50}.",
"index": 748,
"question": "Consider a system of variables where each variable is defined as follows: b = k + 2; a = y + 6; w = h + 9; q = r + 10; r = 2; x = b + 17; j = w + 9; h = z + 14; m = q + 16; k = r + 2; z = m + 17; c = a + 1; y = x + 20. If r = 2, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 17", "s": "o + 5", "v": "s + 7", "y": "v + 14", "b": "y + 4", "f": "b + 5", "z": "e + 14", "x": "z + 20", "w": "x + 14", "l": "w + 19", "i": "l + 13", "q": "i + 2", "e": 4}, "premises": {"e": 4}, "target": "f"}, "answer": {"steps": [["o", "e + 17", 21], ["s", "o + 5", 26], ["v", "s + 7", 33], ["y", "v + 14", 47], ["b", "y + 4", 51], ["f", "b + 5", 56]], "target_var_name": "f", "target_value": 56, "value_dict": {"e": 4, "o": 21, "s": 26, "v": 33, "y": 47, "b": 51, "f": 56}, "is_reverse": false}} | 749 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = 4; i = l + 13; q = i + 2; y = v + 14; b = y + 4; z = e + 14; l = w + 19; v = s + 7; w = x + 14; o = e + 17; x = z + 20; s = o + 5; f = b + 5. Given that e = 4, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = e + 17, which gives o = 21.\n2. Compute s using s = o + 5, which gives s = 26.\n3. Compute v using v = s + 7, which gives v = 33.\n4. Compute y using y = v + 14, which gives y = 47.\n5. Compute b using b = y + 4, which gives b = 51.\n6. Compute f using f = b + 5, which gives f = 56.\n\nThus, the final answer is f = \\boxed{56}.",
"index": 749,
"question": "Suppose a collection of variables is related by the following definitions: e = 4; i = l + 13; q = i + 2; y = v + 14; b = y + 4; z = e + 14; l = w + 19; v = s + 7; w = x + 14; o = e + 17; x = z + 20; s = o + 5; f = b + 5. Given that e = 4, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"b": "v + 2", "y": "b + 10", "c": "y + 12", "j": "c + 11", "n": "j + 7", "z": "n + 9", "t": "v + 18", "q": "t + 14", "m": "q + 12", "d": "m + 15", "p": "d + 16", "w": "p + 6", "v": 19}, "premises": {"v": 19}, "target": "z"}, "answer": {"steps": [["b", "v + 2", 21], ["y", "b + 10", 31], ["c", "y + 12", 43], ["j", "c + 11", 54], ["n", "j + 7", 61], ["z", "n + 9", 70]], "target_var_name": "z", "target_value": 70, "value_dict": {"v": 19, "b": 21, "y": 31, "c": 43, "j": 54, "n": 61, "z": 70}, "is_reverse": false}} | 750 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = q + 12; w = p + 6; y = b + 10; v = 19; q = t + 14; p = d + 16; j = c + 11; c = y + 12; d = m + 15; t = v + 18; n = j + 7; b = v + 2; z = n + 9. Given that v = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = v + 2, which gives b = 21.\n2. Compute y using y = b + 10, which gives y = 31.\n3. Compute c using c = y + 12, which gives c = 43.\n4. Compute j using j = c + 11, which gives j = 54.\n5. Compute n using n = j + 7, which gives n = 61.\n6. Compute z using z = n + 9, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 750,
"question": "Suppose a collection of variables is related by the following definitions: m = q + 12; w = p + 6; y = b + 10; v = 19; q = t + 14; p = d + 16; j = c + 11; c = y + 12; d = m + 15; t = v + 18; n = j + 7; b = v + 2; z = n + 9. Given that v = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 20", "t": "q + 5", "w": "t + 7", "u": "w + 18", "y": "u + 3", "h": "y + 19", "c": "z + 12", "d": "c + 11", "i": "d + 20", "v": "i + 10", "r": "v + 10", "o": "r + 3", "z": 1}, "premises": {"z": 1}, "target": "h"}, "answer": {"steps": [["y", "u + 3", "u + 22"], ["u", "w + 18", "w + 40"], ["w", "t + 7", "t + 47"], ["t", "q + 5", "q + 52"], ["q", "z + 20", "z + 72"], ["z", 1, "73"]], "target_var_name": "h", "target_value": 73, "value_dict": {"z": 1}, "is_reverse": true}} | 751 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = z + 20; o = r + 3; r = v + 10; c = z + 12; w = t + 7; h = y + 19; y = u + 3; d = c + 11; i = d + 20; v = i + 10; t = q + 5; u = w + 18; z = 1. If z = 1, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 3 to h, which gives h = u + 22.\n2. Substitute u = w + 18 to h, which gives h = w + 40.\n3. Substitute w = t + 7 to h, which gives h = t + 47.\n4. Substitute t = q + 5 to h, which gives h = q + 52.\n5. Substitute q = z + 20 to h, which gives h = z + 72.\n6. Substitute z = 1 to h, which gives h = 73.\n\nThus, the final answer is h = \\boxed{73}.",
"index": 751,
"question": "Consider a system of variables where each variable is defined as follows: q = z + 20; o = r + 3; r = v + 10; c = z + 12; w = t + 7; h = y + 19; y = u + 3; d = c + 11; i = d + 20; v = i + 10; t = q + 5; u = w + 18; z = 1. If z = 1, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 13", "p": "t + 20", "b": "p + 3", "d": "b + 11", "q": "d + 14", "c": "q + 8", "z": "o + 6", "h": "z + 3", "m": "h + 5", "u": "m + 19", "n": "u + 20", "a": "n + 12", "o": 19}, "premises": {"o": 19}, "target": "c"}, "answer": {"steps": [["q", "d + 14", "d + 22"], ["d", "b + 11", "b + 33"], ["b", "p + 3", "p + 36"], ["p", "t + 20", "t + 56"], ["t", "o + 13", "o + 69"], ["o", 19, "88"]], "target_var_name": "c", "target_value": 88, "value_dict": {"o": 19}, "is_reverse": true}} | 752 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 19; m = h + 5; d = b + 11; h = z + 3; a = n + 12; n = u + 20; c = q + 8; p = t + 20; o = 19; q = d + 14; z = o + 6; t = o + 13; b = p + 3. If o = 19, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 14 to c, which gives c = d + 22.\n2. Substitute d = b + 11 to c, which gives c = b + 33.\n3. Substitute b = p + 3 to c, which gives c = p + 36.\n4. Substitute p = t + 20 to c, which gives c = t + 56.\n5. Substitute t = o + 13 to c, which gives c = o + 69.\n6. Substitute o = 19 to c, which gives c = 88.\n\nThus, the final answer is c = \\boxed{88}.",
"index": 752,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 19; m = h + 5; d = b + 11; h = z + 3; a = n + 12; n = u + 20; c = q + 8; p = t + 20; o = 19; q = d + 14; z = o + 6; t = o + 13; b = p + 3. If o = 19, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"x": "s + 20", "d": "x + 17", "v": "d + 13", "f": "v + 20", "u": "f + 3", "m": "u + 15", "n": "s + 8", "y": "n + 18", "a": "y + 4", "j": "a + 15", "t": "j + 9", "q": "t + 8", "s": 4}, "premises": {"s": 4}, "target": "m"}, "answer": {"steps": [["u", "f + 3", "f + 18"], ["f", "v + 20", "v + 38"], ["v", "d + 13", "d + 51"], ["d", "x + 17", "x + 68"], ["x", "s + 20", "s + 88"], ["s", 4, "92"]], "target_var_name": "m", "target_value": 92, "value_dict": {"s": 4}, "is_reverse": true}} | 753 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = y + 4; d = x + 17; x = s + 20; j = a + 15; q = t + 8; v = d + 13; m = u + 15; f = v + 20; y = n + 18; u = f + 3; s = 4; t = j + 9; n = s + 8. If s = 4, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = f + 3 to m, which gives m = f + 18.\n2. Substitute f = v + 20 to m, which gives m = v + 38.\n3. Substitute v = d + 13 to m, which gives m = d + 51.\n4. Substitute d = x + 17 to m, which gives m = x + 68.\n5. Substitute x = s + 20 to m, which gives m = s + 88.\n6. Substitute s = 4 to m, which gives m = 92.\n\nThus, the final answer is m = \\boxed{92}.",
"index": 753,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = y + 4; d = x + 17; x = s + 20; j = a + 15; q = t + 8; v = d + 13; m = u + 15; f = v + 20; y = n + 18; u = f + 3; s = 4; t = j + 9; n = s + 8. If s = 4, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 4", "x": "n + 5", "i": "x + 14", "o": "i + 6", "c": "o + 2", "l": "c + 18", "u": "e + 7", "s": "u + 14", "b": "s + 20", "t": "b + 6", "r": "t + 3", "v": "r + 2", "e": 12}, "premises": {"e": 12}, "target": "l"}, "answer": {"steps": [["n", "e + 4", 16], ["x", "n + 5", 21], ["i", "x + 14", 35], ["o", "i + 6", 41], ["c", "o + 2", 43], ["l", "c + 18", 61]], "target_var_name": "l", "target_value": 61, "value_dict": {"e": 12, "n": 16, "x": 21, "i": 35, "o": 41, "c": 43, "l": 61}, "is_reverse": false}} | 754 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = c + 18; o = i + 6; n = e + 4; i = x + 14; e = 12; u = e + 7; x = n + 5; b = s + 20; v = r + 2; s = u + 14; r = t + 3; c = o + 2; t = b + 6. Given that e = 12, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = e + 4, which gives n = 16.\n2. Compute x using x = n + 5, which gives x = 21.\n3. Compute i using i = x + 14, which gives i = 35.\n4. Compute o using o = i + 6, which gives o = 41.\n5. Compute c using c = o + 2, which gives c = 43.\n6. Compute l using l = c + 18, which gives l = 61.\n\nThus, the final answer is l = \\boxed{61}.",
"index": 754,
"question": "Suppose a collection of variables is related by the following definitions: l = c + 18; o = i + 6; n = e + 4; i = x + 14; e = 12; u = e + 7; x = n + 5; b = s + 20; v = r + 2; s = u + 14; r = t + 3; c = o + 2; t = b + 6. Given that e = 12, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 3", "l": "o + 17", "v": "l + 17", "c": "v + 15", "w": "c + 8", "r": "w + 13", "m": "n + 9", "g": "m + 4", "z": "g + 13", "k": "z + 5", "y": "k + 15", "q": "y + 11", "n": 20}, "premises": {"n": 20}, "target": "r"}, "answer": {"steps": [["o", "n + 3", 23], ["l", "o + 17", 40], ["v", "l + 17", 57], ["c", "v + 15", 72], ["w", "c + 8", 80], ["r", "w + 13", 93]], "target_var_name": "r", "target_value": 93, "value_dict": {"n": 20, "o": 23, "l": 40, "v": 57, "c": 72, "w": 80, "r": 93}, "is_reverse": false}} | 755 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 9; w = c + 8; l = o + 17; c = v + 15; o = n + 3; g = m + 4; v = l + 17; n = 20; r = w + 13; y = k + 15; z = g + 13; q = y + 11; k = z + 5. If n = 20, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = n + 3, which gives o = 23.\n2. Compute l using l = o + 17, which gives l = 40.\n3. Compute v using v = l + 17, which gives v = 57.\n4. Compute c using c = v + 15, which gives c = 72.\n5. Compute w using w = c + 8, which gives w = 80.\n6. Compute r using r = w + 13, which gives r = 93.\n\nThus, the final answer is r = \\boxed{93}.",
"index": 755,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 9; w = c + 8; l = o + 17; c = v + 15; o = n + 3; g = m + 4; v = l + 17; n = 20; r = w + 13; y = k + 15; z = g + 13; q = y + 11; k = z + 5. If n = 20, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 6", "o": "k + 6", "m": "o + 20", "l": "m + 14", "d": "l + 3", "y": "d + 8", "c": "p + 10", "t": "c + 6", "x": "t + 10", "j": "x + 15", "a": "j + 13", "u": "a + 2", "p": 2}, "premises": {"p": 2}, "target": "y"}, "answer": {"steps": [["d", "l + 3", "l + 11"], ["l", "m + 14", "m + 25"], ["m", "o + 20", "o + 45"], ["o", "k + 6", "k + 51"], ["k", "p + 6", "p + 57"], ["p", 2, "59"]], "target_var_name": "y", "target_value": 59, "value_dict": {"p": 2}, "is_reverse": true}} | 756 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = d + 8; a = j + 13; j = x + 15; p = 2; x = t + 10; c = p + 10; t = c + 6; k = p + 6; o = k + 6; l = m + 14; u = a + 2; m = o + 20; d = l + 3. Given that p = 2, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 3 to y, which gives y = l + 11.\n2. Substitute l = m + 14 to y, which gives y = m + 25.\n3. Substitute m = o + 20 to y, which gives y = o + 45.\n4. Substitute o = k + 6 to y, which gives y = k + 51.\n5. Substitute k = p + 6 to y, which gives y = p + 57.\n6. Substitute p = 2 to y, which gives y = 59.\n\nThus, the final answer is y = \\boxed{59}.",
"index": 756,
"question": "Suppose a collection of variables is related by the following definitions: y = d + 8; a = j + 13; j = x + 15; p = 2; x = t + 10; c = p + 10; t = c + 6; k = p + 6; o = k + 6; l = m + 14; u = a + 2; m = o + 20; d = l + 3. Given that p = 2, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"t": "r + 7", "h": "t + 7", "m": "h + 8", "b": "m + 16", "p": "b + 2", "s": "p + 15", "i": "r + 16", "f": "i + 9", "l": "f + 7", "x": "l + 5", "g": "x + 20", "w": "g + 14", "r": 16}, "premises": {"r": 16}, "target": "s"}, "answer": {"steps": [["t", "r + 7", 23], ["h", "t + 7", 30], ["m", "h + 8", 38], ["b", "m + 16", 54], ["p", "b + 2", 56], ["s", "p + 15", 71]], "target_var_name": "s", "target_value": 71, "value_dict": {"r": 16, "t": 23, "h": 30, "m": 38, "b": 54, "p": 56, "s": 71}, "is_reverse": false}} | 757 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = p + 15; t = r + 7; h = t + 7; w = g + 14; g = x + 20; b = m + 16; p = b + 2; l = f + 7; x = l + 5; m = h + 8; i = r + 16; f = i + 9; r = 16. If r = 16, determine the value of s.",
"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 = r + 7, which gives t = 23.\n2. Compute h using h = t + 7, which gives h = 30.\n3. Compute m using m = h + 8, which gives m = 38.\n4. Compute b using b = m + 16, which gives b = 54.\n5. Compute p using p = b + 2, which gives p = 56.\n6. Compute s using s = p + 15, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 757,
"question": "Consider a system of variables where each variable is defined as follows: s = p + 15; t = r + 7; h = t + 7; w = g + 14; g = x + 20; b = m + 16; p = b + 2; l = f + 7; x = l + 5; m = h + 8; i = r + 16; f = i + 9; r = 16. If r = 16, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 13", "c": "x + 20", "y": "c + 6", "r": "y + 5", "a": "r + 12", "u": "a + 14", "n": "t + 17", "d": "n + 19", "g": "d + 7", "j": "g + 1", "v": "j + 7", "h": "v + 12", "t": 6}, "premises": {"t": 6}, "target": "u"}, "answer": {"steps": [["x", "t + 13", 19], ["c", "x + 20", 39], ["y", "c + 6", 45], ["r", "y + 5", 50], ["a", "r + 12", 62], ["u", "a + 14", 76]], "target_var_name": "u", "target_value": 76, "value_dict": {"t": 6, "x": 19, "c": 39, "y": 45, "r": 50, "a": 62, "u": 76}, "is_reverse": false}} | 758 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = x + 20; n = t + 17; u = a + 14; h = v + 12; d = n + 19; r = y + 5; j = g + 1; y = c + 6; g = d + 7; x = t + 13; t = 6; v = j + 7; a = r + 12. Given that t = 6, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = t + 13, which gives x = 19.\n2. Compute c using c = x + 20, which gives c = 39.\n3. Compute y using y = c + 6, which gives y = 45.\n4. Compute r using r = y + 5, which gives r = 50.\n5. Compute a using a = r + 12, which gives a = 62.\n6. Compute u using u = a + 14, which gives u = 76.\n\nThus, the final answer is u = \\boxed{76}.",
"index": 758,
"question": "Suppose a collection of variables is related by the following definitions: c = x + 20; n = t + 17; u = a + 14; h = v + 12; d = n + 19; r = y + 5; j = g + 1; y = c + 6; g = d + 7; x = t + 13; t = 6; v = j + 7; a = r + 12. Given that t = 6, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "z + 5", "k": "y + 10", "v": "k + 17", "i": "v + 13", "w": "i + 8", "b": "w + 3", "g": "z + 17", "a": "g + 13", "j": "a + 16", "c": "j + 17", "x": "c + 19", "e": "x + 11", "z": 5}, "premises": {"z": 5}, "target": "b"}, "answer": {"steps": [["w", "i + 8", "i + 11"], ["i", "v + 13", "v + 24"], ["v", "k + 17", "k + 41"], ["k", "y + 10", "y + 51"], ["y", "z + 5", "z + 56"], ["z", 5, "61"]], "target_var_name": "b", "target_value": 61, "value_dict": {"z": 5}, "is_reverse": true}} | 759 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = j + 17; a = g + 13; y = z + 5; x = c + 19; b = w + 3; v = k + 17; e = x + 11; z = 5; w = i + 8; j = a + 16; g = z + 17; k = y + 10; i = v + 13. If z = 5, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 8 to b, which gives b = i + 11.\n2. Substitute i = v + 13 to b, which gives b = v + 24.\n3. Substitute v = k + 17 to b, which gives b = k + 41.\n4. Substitute k = y + 10 to b, which gives b = y + 51.\n5. Substitute y = z + 5 to b, which gives b = z + 56.\n6. Substitute z = 5 to b, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 759,
"question": "Consider a system of variables where each variable is defined as follows: c = j + 17; a = g + 13; y = z + 5; x = c + 19; b = w + 3; v = k + 17; e = x + 11; z = 5; w = i + 8; j = a + 16; g = z + 17; k = y + 10; i = v + 13. If z = 5, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 17", "j": "d + 9", "u": "j + 15", "n": "u + 11", "b": "n + 5", "v": "b + 12", "q": "z + 5", "y": "q + 4", "t": "y + 17", "k": "t + 10", "g": "k + 9", "s": "g + 15", "z": 14}, "premises": {"z": 14}, "target": "v"}, "answer": {"steps": [["b", "n + 5", "n + 17"], ["n", "u + 11", "u + 28"], ["u", "j + 15", "j + 43"], ["j", "d + 9", "d + 52"], ["d", "z + 17", "z + 69"], ["z", 14, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"z": 14}, "is_reverse": true}} | 760 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = y + 17; u = j + 15; v = b + 12; k = t + 10; g = k + 9; n = u + 11; s = g + 15; d = z + 17; y = q + 4; j = d + 9; q = z + 5; b = n + 5; z = 14. Given that z = 14, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 5 to v, which gives v = n + 17.\n2. Substitute n = u + 11 to v, which gives v = u + 28.\n3. Substitute u = j + 15 to v, which gives v = j + 43.\n4. Substitute j = d + 9 to v, which gives v = d + 52.\n5. Substitute d = z + 17 to v, which gives v = z + 69.\n6. Substitute z = 14 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 760,
"question": "Suppose a collection of variables is related by the following definitions: t = y + 17; u = j + 15; v = b + 12; k = t + 10; g = k + 9; n = u + 11; s = g + 15; d = z + 17; y = q + 4; j = d + 9; q = z + 5; b = n + 5; z = 14. Given that z = 14, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 11", "i": "v + 2", "m": "i + 14", "p": "m + 4", "w": "p + 3", "f": "w + 17", "k": "b + 8", "l": "k + 10", "r": "l + 6", "d": "r + 19", "n": "d + 16", "t": "n + 13", "b": 20}, "premises": {"b": 20}, "target": "f"}, "answer": {"steps": [["w", "p + 3", "p + 20"], ["p", "m + 4", "m + 24"], ["m", "i + 14", "i + 38"], ["i", "v + 2", "v + 40"], ["v", "b + 11", "b + 51"], ["b", 20, "71"]], "target_var_name": "f", "target_value": 71, "value_dict": {"b": 20}, "is_reverse": true}} | 761 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = b + 11; p = m + 4; f = w + 17; n = d + 16; t = n + 13; b = 20; i = v + 2; k = b + 8; r = l + 6; m = i + 14; d = r + 19; l = k + 10; w = p + 3. If b = 20, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 3 to f, which gives f = p + 20.\n2. Substitute p = m + 4 to f, which gives f = m + 24.\n3. Substitute m = i + 14 to f, which gives f = i + 38.\n4. Substitute i = v + 2 to f, which gives f = v + 40.\n5. Substitute v = b + 11 to f, which gives f = b + 51.\n6. Substitute b = 20 to f, which gives f = 71.\n\nThus, the final answer is f = \\boxed{71}.",
"index": 761,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = b + 11; p = m + 4; f = w + 17; n = d + 16; t = n + 13; b = 20; i = v + 2; k = b + 8; r = l + 6; m = i + 14; d = r + 19; l = k + 10; w = p + 3. If b = 20, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 2", "e": "z + 14", "b": "e + 9", "o": "b + 12", "u": "o + 7", "s": "u + 15", "k": "w + 14", "q": "k + 13", "y": "q + 7", "m": "y + 15", "j": "m + 16", "x": "j + 13", "w": 20}, "premises": {"w": 20}, "target": "s"}, "answer": {"steps": [["u", "o + 7", "o + 22"], ["o", "b + 12", "b + 34"], ["b", "e + 9", "e + 43"], ["e", "z + 14", "z + 57"], ["z", "w + 2", "w + 59"], ["w", 20, "79"]], "target_var_name": "s", "target_value": 79, "value_dict": {"w": 20}, "is_reverse": true}} | 762 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = m + 16; y = q + 7; q = k + 13; o = b + 12; w = 20; b = e + 9; m = y + 15; x = j + 13; s = u + 15; u = o + 7; z = w + 2; e = z + 14; k = w + 14. If w = 20, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 7 to s, which gives s = o + 22.\n2. Substitute o = b + 12 to s, which gives s = b + 34.\n3. Substitute b = e + 9 to s, which gives s = e + 43.\n4. Substitute e = z + 14 to s, which gives s = z + 57.\n5. Substitute z = w + 2 to s, which gives s = w + 59.\n6. Substitute w = 20 to s, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 762,
"question": "Consider a system of variables where each variable is defined as follows: j = m + 16; y = q + 7; q = k + 13; o = b + 12; w = 20; b = e + 9; m = y + 15; x = j + 13; s = u + 15; u = o + 7; z = w + 2; e = z + 14; k = w + 14. If w = 20, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"z": "p + 20", "q": "z + 4", "n": "q + 13", "w": "n + 10", "t": "w + 5", "o": "t + 20", "l": "p + 16", "f": "l + 12", "r": "f + 18", "y": "r + 14", "s": "y + 20", "b": "s + 14", "p": 16}, "premises": {"p": 16}, "target": "o"}, "answer": {"steps": [["t", "w + 5", "w + 25"], ["w", "n + 10", "n + 35"], ["n", "q + 13", "q + 48"], ["q", "z + 4", "z + 52"], ["z", "p + 20", "p + 72"], ["p", 16, "88"]], "target_var_name": "o", "target_value": 88, "value_dict": {"p": 16}, "is_reverse": true}} | 763 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = n + 10; s = y + 20; n = q + 13; o = t + 20; b = s + 14; f = l + 12; r = f + 18; q = z + 4; y = r + 14; l = p + 16; t = w + 5; p = 16; z = p + 20. If p = 16, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 5 to o, which gives o = w + 25.\n2. Substitute w = n + 10 to o, which gives o = n + 35.\n3. Substitute n = q + 13 to o, which gives o = q + 48.\n4. Substitute q = z + 4 to o, which gives o = z + 52.\n5. Substitute z = p + 20 to o, which gives o = p + 72.\n6. Substitute p = 16 to o, which gives o = 88.\n\nThus, the final answer is o = \\boxed{88}.",
"index": 763,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = n + 10; s = y + 20; n = q + 13; o = t + 20; b = s + 14; f = l + 12; r = f + 18; q = z + 4; y = r + 14; l = p + 16; t = w + 5; p = 16; z = p + 20. If p = 16, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 2", "g": "r + 3", "p": "g + 7", "t": "p + 20", "f": "t + 5", "b": "f + 12", "z": "k + 14", "o": "z + 10", "q": "o + 18", "a": "q + 7", "n": "a + 20", "c": "n + 8", "k": 1}, "premises": {"k": 1}, "target": "b"}, "answer": {"steps": [["r", "k + 2", 3], ["g", "r + 3", 6], ["p", "g + 7", 13], ["t", "p + 20", 33], ["f", "t + 5", 38], ["b", "f + 12", 50]], "target_var_name": "b", "target_value": 50, "value_dict": {"k": 1, "r": 3, "g": 6, "p": 13, "t": 33, "f": 38, "b": 50}, "is_reverse": false}} | 764 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 1; f = t + 5; z = k + 14; r = k + 2; t = p + 20; a = q + 7; c = n + 8; n = a + 20; b = f + 12; q = o + 18; p = g + 7; g = r + 3; o = z + 10. Given that k = 1, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = k + 2, which gives r = 3.\n2. Compute g using g = r + 3, which gives g = 6.\n3. Compute p using p = g + 7, which gives p = 13.\n4. Compute t using t = p + 20, which gives t = 33.\n5. Compute f using f = t + 5, which gives f = 38.\n6. Compute b using b = f + 12, which gives b = 50.\n\nThus, the final answer is b = \\boxed{50}.",
"index": 764,
"question": "Suppose a collection of variables is related by the following definitions: k = 1; f = t + 5; z = k + 14; r = k + 2; t = p + 20; a = q + 7; c = n + 8; n = a + 20; b = f + 12; q = o + 18; p = g + 7; g = r + 3; o = z + 10. Given that k = 1, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 18", "t": "y + 18", "i": "t + 10", "m": "i + 16", "c": "m + 6", "s": "c + 8", "p": "l + 6", "k": "p + 6", "n": "k + 7", "a": "n + 10", "r": "a + 11", "g": "r + 2", "l": 14}, "premises": {"l": 14}, "target": "s"}, "answer": {"steps": [["y", "l + 18", 32], ["t", "y + 18", 50], ["i", "t + 10", 60], ["m", "i + 16", 76], ["c", "m + 6", 82], ["s", "c + 8", 90]], "target_var_name": "s", "target_value": 90, "value_dict": {"l": 14, "y": 32, "t": 50, "i": 60, "m": 76, "c": 82, "s": 90}, "is_reverse": false}} | 765 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = l + 18; l = 14; t = y + 18; m = i + 16; n = k + 7; g = r + 2; p = l + 6; s = c + 8; c = m + 6; a = n + 10; i = t + 10; r = a + 11; k = p + 6. Given that l = 14, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = l + 18, which gives y = 32.\n2. Compute t using t = y + 18, which gives t = 50.\n3. Compute i using i = t + 10, which gives i = 60.\n4. Compute m using m = i + 16, which gives m = 76.\n5. Compute c using c = m + 6, which gives c = 82.\n6. Compute s using s = c + 8, which gives s = 90.\n\nThus, the final answer is s = \\boxed{90}.",
"index": 765,
"question": "Suppose a collection of variables is related by the following definitions: y = l + 18; l = 14; t = y + 18; m = i + 16; n = k + 7; g = r + 2; p = l + 6; s = c + 8; c = m + 6; a = n + 10; i = t + 10; r = a + 11; k = p + 6. Given that l = 14, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 15", "p": "r + 17", "w": "p + 13", "l": "w + 18", "d": "l + 8", "a": "d + 1", "e": "j + 12", "i": "e + 10", "m": "i + 7", "s": "m + 8", "n": "s + 19", "t": "n + 20", "j": 5}, "premises": {"j": 5}, "target": "a"}, "answer": {"steps": [["r", "j + 15", 20], ["p", "r + 17", 37], ["w", "p + 13", 50], ["l", "w + 18", 68], ["d", "l + 8", 76], ["a", "d + 1", 77]], "target_var_name": "a", "target_value": 77, "value_dict": {"j": 5, "r": 20, "p": 37, "w": 50, "l": 68, "d": 76, "a": 77}, "is_reverse": false}} | 766 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = w + 18; p = r + 17; r = j + 15; t = n + 20; s = m + 8; j = 5; m = i + 7; e = j + 12; n = s + 19; w = p + 13; a = d + 1; i = e + 10; d = l + 8. If j = 5, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = j + 15, which gives r = 20.\n2. Compute p using p = r + 17, which gives p = 37.\n3. Compute w using w = p + 13, which gives w = 50.\n4. Compute l using l = w + 18, which gives l = 68.\n5. Compute d using d = l + 8, which gives d = 76.\n6. Compute a using a = d + 1, which gives a = 77.\n\nThus, the final answer is a = \\boxed{77}.",
"index": 766,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = w + 18; p = r + 17; r = j + 15; t = n + 20; s = m + 8; j = 5; m = i + 7; e = j + 12; n = s + 19; w = p + 13; a = d + 1; i = e + 10; d = l + 8. If j = 5, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 9", "e": "o + 19", "w": "e + 11", "y": "w + 14", "j": "y + 4", "n": "j + 10", "g": "q + 17", "k": "g + 9", "d": "k + 4", "z": "d + 12", "b": "z + 5", "l": "b + 8", "q": 1}, "premises": {"q": 1}, "target": "n"}, "answer": {"steps": [["j", "y + 4", "y + 14"], ["y", "w + 14", "w + 28"], ["w", "e + 11", "e + 39"], ["e", "o + 19", "o + 58"], ["o", "q + 9", "q + 67"], ["q", 1, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"q": 1}, "is_reverse": true}} | 767 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = w + 14; g = q + 17; d = k + 4; q = 1; j = y + 4; l = b + 8; e = o + 19; n = j + 10; o = q + 9; z = d + 12; k = g + 9; w = e + 11; b = z + 5. If q = 1, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 4 to n, which gives n = y + 14.\n2. Substitute y = w + 14 to n, which gives n = w + 28.\n3. Substitute w = e + 11 to n, which gives n = e + 39.\n4. Substitute e = o + 19 to n, which gives n = o + 58.\n5. Substitute o = q + 9 to n, which gives n = q + 67.\n6. Substitute q = 1 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 767,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = w + 14; g = q + 17; d = k + 4; q = 1; j = y + 4; l = b + 8; e = o + 19; n = j + 10; o = q + 9; z = d + 12; k = g + 9; w = e + 11; b = z + 5. If q = 1, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 3", "t": "s + 1", "j": "t + 16", "b": "j + 8", "p": "b + 20", "w": "p + 20", "y": "d + 15", "c": "y + 7", "l": "c + 9", "n": "l + 9", "g": "n + 8", "z": "g + 11", "d": 12}, "premises": {"d": 12}, "target": "w"}, "answer": {"steps": [["p", "b + 20", "b + 40"], ["b", "j + 8", "j + 48"], ["j", "t + 16", "t + 64"], ["t", "s + 1", "s + 65"], ["s", "d + 3", "d + 68"], ["d", 12, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"d": 12}, "is_reverse": true}} | 768 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = b + 20; w = p + 20; z = g + 11; n = l + 9; l = c + 9; b = j + 8; d = 12; t = s + 1; s = d + 3; c = y + 7; j = t + 16; y = d + 15; g = n + 8. Given that d = 12, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 20 to w, which gives w = b + 40.\n2. Substitute b = j + 8 to w, which gives w = j + 48.\n3. Substitute j = t + 16 to w, which gives w = t + 64.\n4. Substitute t = s + 1 to w, which gives w = s + 65.\n5. Substitute s = d + 3 to w, which gives w = d + 68.\n6. Substitute d = 12 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 768,
"question": "Suppose a collection of variables is related by the following definitions: p = b + 20; w = p + 20; z = g + 11; n = l + 9; l = c + 9; b = j + 8; d = 12; t = s + 1; s = d + 3; c = y + 7; j = t + 16; y = d + 15; g = n + 8. Given that d = 12, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 15", "v": "k + 19", "m": "v + 4", "u": "m + 11", "a": "u + 2", "t": "a + 5", "q": "f + 9", "s": "q + 14", "e": "s + 1", "d": "e + 6", "y": "d + 6", "r": "y + 16", "f": 6}, "premises": {"f": 6}, "target": "t"}, "answer": {"steps": [["a", "u + 2", "u + 7"], ["u", "m + 11", "m + 18"], ["m", "v + 4", "v + 22"], ["v", "k + 19", "k + 41"], ["k", "f + 15", "f + 56"], ["f", 6, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"f": 6}, "is_reverse": true}} | 769 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = v + 4; d = e + 6; e = s + 1; k = f + 15; f = 6; r = y + 16; y = d + 6; v = k + 19; a = u + 2; q = f + 9; t = a + 5; u = m + 11; s = q + 14. Given that f = 6, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 2 to t, which gives t = u + 7.\n2. Substitute u = m + 11 to t, which gives t = m + 18.\n3. Substitute m = v + 4 to t, which gives t = v + 22.\n4. Substitute v = k + 19 to t, which gives t = k + 41.\n5. Substitute k = f + 15 to t, which gives t = f + 56.\n6. Substitute f = 6 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 769,
"question": "Suppose a collection of variables is related by the following definitions: m = v + 4; d = e + 6; e = s + 1; k = f + 15; f = 6; r = y + 16; y = d + 6; v = k + 19; a = u + 2; q = f + 9; t = a + 5; u = m + 11; s = q + 14. Given that f = 6, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 5", "g": "f + 7", "k": "g + 20", "o": "k + 6", "c": "o + 14", "j": "c + 17", "p": "b + 8", "m": "p + 10", "v": "m + 20", "r": "v + 16", "u": "r + 1", "d": "u + 12", "b": 4}, "premises": {"b": 4}, "target": "j"}, "answer": {"steps": [["f", "b + 5", 9], ["g", "f + 7", 16], ["k", "g + 20", 36], ["o", "k + 6", 42], ["c", "o + 14", 56], ["j", "c + 17", 73]], "target_var_name": "j", "target_value": 73, "value_dict": {"b": 4, "f": 9, "g": 16, "k": 36, "o": 42, "c": 56, "j": 73}, "is_reverse": false}} | 770 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = u + 12; m = p + 10; p = b + 8; v = m + 20; c = o + 14; j = c + 17; r = v + 16; b = 4; k = g + 20; f = b + 5; u = r + 1; o = k + 6; g = f + 7. Given that b = 4, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = b + 5, which gives f = 9.\n2. Compute g using g = f + 7, which gives g = 16.\n3. Compute k using k = g + 20, which gives k = 36.\n4. Compute o using o = k + 6, which gives o = 42.\n5. Compute c using c = o + 14, which gives c = 56.\n6. Compute j using j = c + 17, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 770,
"question": "Suppose a collection of variables is related by the following definitions: d = u + 12; m = p + 10; p = b + 8; v = m + 20; c = o + 14; j = c + 17; r = v + 16; b = 4; k = g + 20; f = b + 5; u = r + 1; o = k + 6; g = f + 7. Given that b = 4, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 18", "h": "f + 20", "g": "h + 5", "o": "g + 3", "c": "o + 13", "u": "c + 10", "z": "s + 8", "a": "z + 9", "y": "a + 10", "e": "y + 15", "k": "e + 1", "l": "k + 19", "s": 18}, "premises": {"s": 18}, "target": "u"}, "answer": {"steps": [["c", "o + 13", "o + 23"], ["o", "g + 3", "g + 26"], ["g", "h + 5", "h + 31"], ["h", "f + 20", "f + 51"], ["f", "s + 18", "s + 69"], ["s", 18, "87"]], "target_var_name": "u", "target_value": 87, "value_dict": {"s": 18}, "is_reverse": true}} | 771 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = z + 9; c = o + 13; e = y + 15; s = 18; z = s + 8; y = a + 10; g = h + 5; u = c + 10; h = f + 20; o = g + 3; f = s + 18; l = k + 19; k = e + 1. Given that s = 18, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 13 to u, which gives u = o + 23.\n2. Substitute o = g + 3 to u, which gives u = g + 26.\n3. Substitute g = h + 5 to u, which gives u = h + 31.\n4. Substitute h = f + 20 to u, which gives u = f + 51.\n5. Substitute f = s + 18 to u, which gives u = s + 69.\n6. Substitute s = 18 to u, which gives u = 87.\n\nThus, the final answer is u = \\boxed{87}.",
"index": 771,
"question": "Suppose a collection of variables is related by the following definitions: a = z + 9; c = o + 13; e = y + 15; s = 18; z = s + 8; y = a + 10; g = h + 5; u = c + 10; h = f + 20; o = g + 3; f = s + 18; l = k + 19; k = e + 1. Given that s = 18, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 12", "z": "f + 14", "v": "z + 2", "w": "v + 9", "y": "w + 3", "n": "y + 7", "u": "b + 17", "k": "u + 19", "a": "k + 2", "e": "a + 17", "d": "e + 6", "x": "d + 13", "b": 7}, "premises": {"b": 7}, "target": "n"}, "answer": {"steps": [["y", "w + 3", "w + 10"], ["w", "v + 9", "v + 19"], ["v", "z + 2", "z + 21"], ["z", "f + 14", "f + 35"], ["f", "b + 12", "b + 47"], ["b", 7, "54"]], "target_var_name": "n", "target_value": 54, "value_dict": {"b": 7}, "is_reverse": true}} | 772 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 12; y = w + 3; d = e + 6; x = d + 13; e = a + 17; b = 7; n = y + 7; u = b + 17; k = u + 19; a = k + 2; v = z + 2; w = v + 9; z = f + 14. If b = 7, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 3 to n, which gives n = w + 10.\n2. Substitute w = v + 9 to n, which gives n = v + 19.\n3. Substitute v = z + 2 to n, which gives n = z + 21.\n4. Substitute z = f + 14 to n, which gives n = f + 35.\n5. Substitute f = b + 12 to n, which gives n = b + 47.\n6. Substitute b = 7 to n, which gives n = 54.\n\nThus, the final answer is n = \\boxed{54}.",
"index": 772,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 12; y = w + 3; d = e + 6; x = d + 13; e = a + 17; b = 7; n = y + 7; u = b + 17; k = u + 19; a = k + 2; v = z + 2; w = v + 9; z = f + 14. If b = 7, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 15", "j": "n + 10", "r": "j + 5", "q": "r + 17", "p": "q + 14", "a": "p + 1", "c": "g + 3", "e": "c + 18", "y": "e + 17", "v": "y + 19", "w": "v + 18", "h": "w + 3", "g": 11}, "premises": {"g": 11}, "target": "a"}, "answer": {"steps": [["n", "g + 15", 26], ["j", "n + 10", 36], ["r", "j + 5", 41], ["q", "r + 17", 58], ["p", "q + 14", 72], ["a", "p + 1", 73]], "target_var_name": "a", "target_value": 73, "value_dict": {"g": 11, "n": 26, "j": 36, "r": 41, "q": 58, "p": 72, "a": 73}, "is_reverse": false}} | 773 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = q + 14; r = j + 5; q = r + 17; j = n + 10; g = 11; w = v + 18; e = c + 18; n = g + 15; y = e + 17; c = g + 3; v = y + 19; h = w + 3; a = p + 1. Given that g = 11, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = g + 15, which gives n = 26.\n2. Compute j using j = n + 10, which gives j = 36.\n3. Compute r using r = j + 5, which gives r = 41.\n4. Compute q using q = r + 17, which gives q = 58.\n5. Compute p using p = q + 14, which gives p = 72.\n6. Compute a using a = p + 1, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 773,
"question": "Suppose a collection of variables is related by the following definitions: p = q + 14; r = j + 5; q = r + 17; j = n + 10; g = 11; w = v + 18; e = c + 18; n = g + 15; y = e + 17; c = g + 3; v = y + 19; h = w + 3; a = p + 1. Given that g = 11, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 7", "s": "f + 13", "i": "s + 18", "l": "i + 7", "h": "l + 7", "r": "h + 17", "p": "d + 18", "v": "p + 6", "j": "v + 5", "w": "j + 5", "a": "w + 6", "m": "a + 10", "d": 2}, "premises": {"d": 2}, "target": "r"}, "answer": {"steps": [["h", "l + 7", "l + 24"], ["l", "i + 7", "i + 31"], ["i", "s + 18", "s + 49"], ["s", "f + 13", "f + 62"], ["f", "d + 7", "d + 69"], ["d", 2, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"d": 2}, "is_reverse": true}} | 774 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = d + 18; m = a + 10; r = h + 17; l = i + 7; d = 2; f = d + 7; j = v + 5; s = f + 13; a = w + 6; i = s + 18; w = j + 5; v = p + 6; h = l + 7. Given that d = 2, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 7 to r, which gives r = l + 24.\n2. Substitute l = i + 7 to r, which gives r = i + 31.\n3. Substitute i = s + 18 to r, which gives r = s + 49.\n4. Substitute s = f + 13 to r, which gives r = f + 62.\n5. Substitute f = d + 7 to r, which gives r = d + 69.\n6. Substitute d = 2 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 774,
"question": "Suppose a collection of variables is related by the following definitions: p = d + 18; m = a + 10; r = h + 17; l = i + 7; d = 2; f = d + 7; j = v + 5; s = f + 13; a = w + 6; i = s + 18; w = j + 5; v = p + 6; h = l + 7. Given that d = 2, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"v": "s + 4", "n": "v + 2", "e": "n + 15", "x": "e + 9", "t": "x + 5", "u": "t + 7", "o": "s + 3", "f": "o + 2", "p": "f + 5", "r": "p + 17", "q": "r + 4", "c": "q + 2", "s": 18}, "premises": {"s": 18}, "target": "u"}, "answer": {"steps": [["v", "s + 4", 22], ["n", "v + 2", 24], ["e", "n + 15", 39], ["x", "e + 9", 48], ["t", "x + 5", 53], ["u", "t + 7", 60]], "target_var_name": "u", "target_value": 60, "value_dict": {"s": 18, "v": 22, "n": 24, "e": 39, "x": 48, "t": 53, "u": 60}, "is_reverse": false}} | 775 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = e + 9; e = n + 15; u = t + 7; r = p + 17; p = f + 5; o = s + 3; c = q + 2; q = r + 4; v = s + 4; n = v + 2; s = 18; t = x + 5; f = o + 2. Given that s = 18, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = s + 4, which gives v = 22.\n2. Compute n using n = v + 2, which gives n = 24.\n3. Compute e using e = n + 15, which gives e = 39.\n4. Compute x using x = e + 9, which gives x = 48.\n5. Compute t using t = x + 5, which gives t = 53.\n6. Compute u using u = t + 7, which gives u = 60.\n\nThus, the final answer is u = \\boxed{60}.",
"index": 775,
"question": "Suppose a collection of variables is related by the following definitions: x = e + 9; e = n + 15; u = t + 7; r = p + 17; p = f + 5; o = s + 3; c = q + 2; q = r + 4; v = s + 4; n = v + 2; s = 18; t = x + 5; f = o + 2. Given that s = 18, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 10", "v": "p + 9", "y": "v + 16", "i": "y + 3", "c": "i + 15", "n": "c + 10", "d": "s + 13", "l": "d + 7", "j": "l + 20", "z": "j + 19", "w": "z + 14", "a": "w + 8", "s": 19}, "premises": {"s": 19}, "target": "n"}, "answer": {"steps": [["p", "s + 10", 29], ["v", "p + 9", 38], ["y", "v + 16", 54], ["i", "y + 3", 57], ["c", "i + 15", 72], ["n", "c + 10", 82]], "target_var_name": "n", "target_value": 82, "value_dict": {"s": 19, "p": 29, "v": 38, "y": 54, "i": 57, "c": 72, "n": 82}, "is_reverse": false}} | 776 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = p + 9; l = d + 7; a = w + 8; p = s + 10; n = c + 10; j = l + 20; c = i + 15; d = s + 13; w = z + 14; s = 19; z = j + 19; y = v + 16; i = y + 3. If s = 19, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = s + 10, which gives p = 29.\n2. Compute v using v = p + 9, which gives v = 38.\n3. Compute y using y = v + 16, which gives y = 54.\n4. Compute i using i = y + 3, which gives i = 57.\n5. Compute c using c = i + 15, which gives c = 72.\n6. Compute n using n = c + 10, which gives n = 82.\n\nThus, the final answer is n = \\boxed{82}.",
"index": 776,
"question": "Consider a system of variables where each variable is defined as follows: v = p + 9; l = d + 7; a = w + 8; p = s + 10; n = c + 10; j = l + 20; c = i + 15; d = s + 13; w = z + 14; s = 19; z = j + 19; y = v + 16; i = y + 3. If s = 19, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 2", "e": "n + 8", "x": "e + 20", "t": "x + 14", "s": "t + 1", "u": "s + 4", "z": "l + 18", "a": "z + 13", "k": "a + 8", "d": "k + 19", "i": "d + 9", "b": "i + 10", "l": 17}, "premises": {"l": 17}, "target": "u"}, "answer": {"steps": [["n", "l + 2", 19], ["e", "n + 8", 27], ["x", "e + 20", 47], ["t", "x + 14", 61], ["s", "t + 1", 62], ["u", "s + 4", 66]], "target_var_name": "u", "target_value": 66, "value_dict": {"l": 17, "n": 19, "e": 27, "x": 47, "t": 61, "s": 62, "u": 66}, "is_reverse": false}} | 777 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = l + 18; u = s + 4; l = 17; t = x + 14; b = i + 10; n = l + 2; s = t + 1; i = d + 9; k = a + 8; a = z + 13; d = k + 19; x = e + 20; e = n + 8. If l = 17, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = l + 2, which gives n = 19.\n2. Compute e using e = n + 8, which gives e = 27.\n3. Compute x using x = e + 20, which gives x = 47.\n4. Compute t using t = x + 14, which gives t = 61.\n5. Compute s using s = t + 1, which gives s = 62.\n6. Compute u using u = s + 4, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 777,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = l + 18; u = s + 4; l = 17; t = x + 14; b = i + 10; n = l + 2; s = t + 1; i = d + 9; k = a + 8; a = z + 13; d = k + 19; x = e + 20; e = n + 8. If l = 17, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 5", "x": "t + 6", "e": "x + 14", "l": "e + 2", "n": "l + 6", "b": "n + 3", "w": "o + 19", "p": "w + 9", "m": "p + 2", "d": "m + 1", "g": "d + 4", "v": "g + 2", "o": 12}, "premises": {"o": 12}, "target": "b"}, "answer": {"steps": [["n", "l + 6", "l + 9"], ["l", "e + 2", "e + 11"], ["e", "x + 14", "x + 25"], ["x", "t + 6", "t + 31"], ["t", "o + 5", "o + 36"], ["o", 12, "48"]], "target_var_name": "b", "target_value": 48, "value_dict": {"o": 12}, "is_reverse": true}} | 778 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = m + 1; l = e + 2; w = o + 19; n = l + 6; x = t + 6; g = d + 4; b = n + 3; e = x + 14; o = 12; t = o + 5; v = g + 2; p = w + 9; m = p + 2. If o = 12, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 6 to b, which gives b = l + 9.\n2. Substitute l = e + 2 to b, which gives b = e + 11.\n3. Substitute e = x + 14 to b, which gives b = x + 25.\n4. Substitute x = t + 6 to b, which gives b = t + 31.\n5. Substitute t = o + 5 to b, which gives b = o + 36.\n6. Substitute o = 12 to b, which gives b = 48.\n\nThus, the final answer is b = \\boxed{48}.",
"index": 778,
"question": "Consider a system of variables where each variable is defined as follows: d = m + 1; l = e + 2; w = o + 19; n = l + 6; x = t + 6; g = d + 4; b = n + 3; e = x + 14; o = 12; t = o + 5; v = g + 2; p = w + 9; m = p + 2. If o = 12, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 12", "d": "s + 4", "h": "d + 19", "y": "h + 18", "e": "y + 2", "p": "e + 6", "f": "j + 20", "x": "f + 16", "b": "x + 2", "r": "b + 5", "c": "r + 10", "l": "c + 12", "j": 4}, "premises": {"j": 4}, "target": "p"}, "answer": {"steps": [["e", "y + 2", "y + 8"], ["y", "h + 18", "h + 26"], ["h", "d + 19", "d + 45"], ["d", "s + 4", "s + 49"], ["s", "j + 12", "j + 61"], ["j", 4, "65"]], "target_var_name": "p", "target_value": 65, "value_dict": {"j": 4}, "is_reverse": true}} | 779 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = x + 2; y = h + 18; p = e + 6; r = b + 5; e = y + 2; f = j + 20; s = j + 12; c = r + 10; h = d + 19; x = f + 16; j = 4; d = s + 4; l = c + 12. If j = 4, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 2 to p, which gives p = y + 8.\n2. Substitute y = h + 18 to p, which gives p = h + 26.\n3. Substitute h = d + 19 to p, which gives p = d + 45.\n4. Substitute d = s + 4 to p, which gives p = s + 49.\n5. Substitute s = j + 12 to p, which gives p = j + 61.\n6. Substitute j = 4 to p, which gives p = 65.\n\nThus, the final answer is p = \\boxed{65}.",
"index": 779,
"question": "Consider a system of variables where each variable is defined as follows: b = x + 2; y = h + 18; p = e + 6; r = b + 5; e = y + 2; f = j + 20; s = j + 12; c = r + 10; h = d + 19; x = f + 16; j = 4; d = s + 4; l = c + 12. If j = 4, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"g": "y + 13", "x": "g + 10", "m": "x + 1", "q": "m + 3", "f": "q + 14", "e": "f + 12", "i": "y + 6", "k": "i + 1", "h": "k + 2", "c": "h + 14", "n": "c + 18", "w": "n + 6", "y": 5}, "premises": {"y": 5}, "target": "e"}, "answer": {"steps": [["f", "q + 14", "q + 26"], ["q", "m + 3", "m + 29"], ["m", "x + 1", "x + 30"], ["x", "g + 10", "g + 40"], ["g", "y + 13", "y + 53"], ["y", 5, "58"]], "target_var_name": "e", "target_value": 58, "value_dict": {"y": 5}, "is_reverse": true}} | 780 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = q + 14; k = i + 1; i = y + 6; w = n + 6; m = x + 1; x = g + 10; y = 5; n = c + 18; h = k + 2; q = m + 3; c = h + 14; e = f + 12; g = y + 13. If y = 5, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 14 to e, which gives e = q + 26.\n2. Substitute q = m + 3 to e, which gives e = m + 29.\n3. Substitute m = x + 1 to e, which gives e = x + 30.\n4. Substitute x = g + 10 to e, which gives e = g + 40.\n5. Substitute g = y + 13 to e, which gives e = y + 53.\n6. Substitute y = 5 to e, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 780,
"question": "Consider a system of variables where each variable is defined as follows: f = q + 14; k = i + 1; i = y + 6; w = n + 6; m = x + 1; x = g + 10; y = 5; n = c + 18; h = k + 2; q = m + 3; c = h + 14; e = f + 12; g = y + 13. If y = 5, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"j": "g + 10", "q": "j + 14", "b": "q + 16", "f": "b + 4", "z": "f + 16", "c": "z + 7", "m": "g + 16", "e": "m + 8", "x": "e + 1", "r": "x + 9", "y": "r + 18", "h": "y + 16", "g": 1}, "premises": {"g": 1}, "target": "c"}, "answer": {"steps": [["j", "g + 10", 11], ["q", "j + 14", 25], ["b", "q + 16", 41], ["f", "b + 4", 45], ["z", "f + 16", 61], ["c", "z + 7", 68]], "target_var_name": "c", "target_value": 68, "value_dict": {"g": 1, "j": 11, "q": 25, "b": 41, "f": 45, "z": 61, "c": 68}, "is_reverse": false}} | 781 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = b + 4; c = z + 7; e = m + 8; j = g + 10; m = g + 16; z = f + 16; b = q + 16; q = j + 14; y = r + 18; r = x + 9; h = y + 16; x = e + 1; g = 1. Given that g = 1, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = g + 10, which gives j = 11.\n2. Compute q using q = j + 14, which gives q = 25.\n3. Compute b using b = q + 16, which gives b = 41.\n4. Compute f using f = b + 4, which gives f = 45.\n5. Compute z using z = f + 16, which gives z = 61.\n6. Compute c using c = z + 7, which gives c = 68.\n\nThus, the final answer is c = \\boxed{68}.",
"index": 781,
"question": "Suppose a collection of variables is related by the following definitions: f = b + 4; c = z + 7; e = m + 8; j = g + 10; m = g + 16; z = f + 16; b = q + 16; q = j + 14; y = r + 18; r = x + 9; h = y + 16; x = e + 1; g = 1. Given that g = 1, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 12", "r": "c + 18", "i": "r + 10", "v": "i + 17", "u": "v + 6", "z": "u + 12", "n": "y + 12", "f": "n + 4", "q": "f + 5", "j": "q + 20", "m": "j + 9", "x": "m + 4", "y": 11}, "premises": {"y": 11}, "target": "z"}, "answer": {"steps": [["c", "y + 12", 23], ["r", "c + 18", 41], ["i", "r + 10", 51], ["v", "i + 17", 68], ["u", "v + 6", 74], ["z", "u + 12", 86]], "target_var_name": "z", "target_value": 86, "value_dict": {"y": 11, "c": 23, "r": 41, "i": 51, "v": 68, "u": 74, "z": 86}, "is_reverse": false}} | 782 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = y + 12; v = i + 17; i = r + 10; y = 11; f = n + 4; r = c + 18; x = m + 4; n = y + 12; z = u + 12; q = f + 5; m = j + 9; j = q + 20; u = v + 6. If y = 11, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = y + 12, which gives c = 23.\n2. Compute r using r = c + 18, which gives r = 41.\n3. Compute i using i = r + 10, which gives i = 51.\n4. Compute v using v = i + 17, which gives v = 68.\n5. Compute u using u = v + 6, which gives u = 74.\n6. Compute z using z = u + 12, which gives z = 86.\n\nThus, the final answer is z = \\boxed{86}.",
"index": 782,
"question": "Consider a system of variables where each variable is defined as follows: c = y + 12; v = i + 17; i = r + 10; y = 11; f = n + 4; r = c + 18; x = m + 4; n = y + 12; z = u + 12; q = f + 5; m = j + 9; j = q + 20; u = v + 6. If y = 11, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 10", "e": "k + 4", "t": "e + 4", "u": "t + 9", "w": "u + 20", "p": "w + 1", "h": "q + 17", "x": "h + 16", "v": "x + 7", "b": "v + 9", "d": "b + 6", "j": "d + 11", "q": 5}, "premises": {"q": 5}, "target": "p"}, "answer": {"steps": [["w", "u + 20", "u + 21"], ["u", "t + 9", "t + 30"], ["t", "e + 4", "e + 34"], ["e", "k + 4", "k + 38"], ["k", "q + 10", "q + 48"], ["q", 5, "53"]], "target_var_name": "p", "target_value": 53, "value_dict": {"q": 5}, "is_reverse": true}} | 783 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = b + 6; t = e + 4; x = h + 16; v = x + 7; h = q + 17; b = v + 9; w = u + 20; q = 5; e = k + 4; j = d + 11; p = w + 1; k = q + 10; u = t + 9. Given that q = 5, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 20 to p, which gives p = u + 21.\n2. Substitute u = t + 9 to p, which gives p = t + 30.\n3. Substitute t = e + 4 to p, which gives p = e + 34.\n4. Substitute e = k + 4 to p, which gives p = k + 38.\n5. Substitute k = q + 10 to p, which gives p = q + 48.\n6. Substitute q = 5 to p, which gives p = 53.\n\nThus, the final answer is p = \\boxed{53}.",
"index": 783,
"question": "Suppose a collection of variables is related by the following definitions: d = b + 6; t = e + 4; x = h + 16; v = x + 7; h = q + 17; b = v + 9; w = u + 20; q = 5; e = k + 4; j = d + 11; p = w + 1; k = q + 10; u = t + 9. Given that q = 5, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 15", "g": "j + 12", "d": "g + 11", "n": "d + 12", "p": "n + 11", "o": "p + 10", "f": "c + 7", "b": "f + 15", "s": "b + 18", "i": "s + 16", "z": "i + 14", "x": "z + 19", "c": 17}, "premises": {"c": 17}, "target": "o"}, "answer": {"steps": [["j", "c + 15", 32], ["g", "j + 12", 44], ["d", "g + 11", 55], ["n", "d + 12", 67], ["p", "n + 11", 78], ["o", "p + 10", 88]], "target_var_name": "o", "target_value": 88, "value_dict": {"c": 17, "j": 32, "g": 44, "d": 55, "n": 67, "p": 78, "o": 88}, "is_reverse": false}} | 784 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = 17; d = g + 11; p = n + 11; s = b + 18; o = p + 10; i = s + 16; b = f + 15; n = d + 12; g = j + 12; x = z + 19; j = c + 15; z = i + 14; f = c + 7. If c = 17, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = c + 15, which gives j = 32.\n2. Compute g using g = j + 12, which gives g = 44.\n3. Compute d using d = g + 11, which gives d = 55.\n4. Compute n using n = d + 12, which gives n = 67.\n5. Compute p using p = n + 11, which gives p = 78.\n6. Compute o using o = p + 10, which gives o = 88.\n\nThus, the final answer is o = \\boxed{88}.",
"index": 784,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = 17; d = g + 11; p = n + 11; s = b + 18; o = p + 10; i = s + 16; b = f + 15; n = d + 12; g = j + 12; x = z + 19; j = c + 15; z = i + 14; f = c + 7. If c = 17, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"i": "r + 5", "h": "i + 20", "c": "h + 15", "p": "c + 20", "z": "p + 13", "t": "z + 6", "e": "r + 16", "n": "e + 8", "b": "n + 16", "m": "b + 11", "d": "m + 11", "x": "d + 9", "r": 15}, "premises": {"r": 15}, "target": "t"}, "answer": {"steps": [["z", "p + 13", "p + 19"], ["p", "c + 20", "c + 39"], ["c", "h + 15", "h + 54"], ["h", "i + 20", "i + 74"], ["i", "r + 5", "r + 79"], ["r", 15, "94"]], "target_var_name": "t", "target_value": 94, "value_dict": {"r": 15}, "is_reverse": true}} | 785 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = 15; c = h + 15; b = n + 16; t = z + 6; x = d + 9; h = i + 20; e = r + 16; z = p + 13; i = r + 5; p = c + 20; n = e + 8; m = b + 11; d = m + 11. If r = 15, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 13 to t, which gives t = p + 19.\n2. Substitute p = c + 20 to t, which gives t = c + 39.\n3. Substitute c = h + 15 to t, which gives t = h + 54.\n4. Substitute h = i + 20 to t, which gives t = i + 74.\n5. Substitute i = r + 5 to t, which gives t = r + 79.\n6. Substitute r = 15 to t, which gives t = 94.\n\nThus, the final answer is t = \\boxed{94}.",
"index": 785,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 15; c = h + 15; b = n + 16; t = z + 6; x = d + 9; h = i + 20; e = r + 16; z = p + 13; i = r + 5; p = c + 20; n = e + 8; m = b + 11; d = m + 11. If r = 15, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 12", "z": "d + 20", "h": "z + 10", "r": "h + 13", "m": "r + 17", "q": "m + 1", "v": "a + 11", "p": "v + 14", "k": "p + 4", "b": "k + 5", "i": "b + 17", "g": "i + 10", "a": 1}, "premises": {"a": 1}, "target": "q"}, "answer": {"steps": [["d", "a + 12", 13], ["z", "d + 20", 33], ["h", "z + 10", 43], ["r", "h + 13", 56], ["m", "r + 17", 73], ["q", "m + 1", 74]], "target_var_name": "q", "target_value": 74, "value_dict": {"a": 1, "d": 13, "z": 33, "h": 43, "r": 56, "m": 73, "q": 74}, "is_reverse": false}} | 786 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = a + 11; i = b + 17; m = r + 17; z = d + 20; p = v + 14; h = z + 10; b = k + 5; k = p + 4; a = 1; d = a + 12; r = h + 13; q = m + 1; g = i + 10. If a = 1, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = a + 12, which gives d = 13.\n2. Compute z using z = d + 20, which gives z = 33.\n3. Compute h using h = z + 10, which gives h = 43.\n4. Compute r using r = h + 13, which gives r = 56.\n5. Compute m using m = r + 17, which gives m = 73.\n6. Compute q using q = m + 1, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 786,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = a + 11; i = b + 17; m = r + 17; z = d + 20; p = v + 14; h = z + 10; b = k + 5; k = p + 4; a = 1; d = a + 12; r = h + 13; q = m + 1; g = i + 10. If a = 1, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 16", "y": "o + 13", "i": "y + 6", "f": "i + 1", "c": "f + 13", "r": "c + 19", "a": "t + 20", "h": "a + 12", "b": "h + 19", "e": "b + 17", "x": "e + 20", "q": "x + 20", "t": 1}, "premises": {"t": 1}, "target": "r"}, "answer": {"steps": [["c", "f + 13", "f + 32"], ["f", "i + 1", "i + 33"], ["i", "y + 6", "y + 39"], ["y", "o + 13", "o + 52"], ["o", "t + 16", "t + 68"], ["t", 1, "69"]], "target_var_name": "r", "target_value": 69, "value_dict": {"t": 1}, "is_reverse": true}} | 787 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = e + 20; o = t + 16; r = c + 19; h = a + 12; y = o + 13; b = h + 19; f = i + 1; t = 1; e = b + 17; q = x + 20; c = f + 13; i = y + 6; a = t + 20. If t = 1, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 13 to r, which gives r = f + 32.\n2. Substitute f = i + 1 to r, which gives r = i + 33.\n3. Substitute i = y + 6 to r, which gives r = y + 39.\n4. Substitute y = o + 13 to r, which gives r = o + 52.\n5. Substitute o = t + 16 to r, which gives r = t + 68.\n6. Substitute t = 1 to r, which gives r = 69.\n\nThus, the final answer is r = \\boxed{69}.",
"index": 787,
"question": "Consider a system of variables where each variable is defined as follows: x = e + 20; o = t + 16; r = c + 19; h = a + 12; y = o + 13; b = h + 19; f = i + 1; t = 1; e = b + 17; q = x + 20; c = f + 13; i = y + 6; a = t + 20. If t = 1, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 12", "h": "f + 17", "a": "h + 8", "d": "a + 7", "n": "d + 5", "u": "n + 3", "k": "e + 20", "o": "k + 4", "b": "o + 12", "z": "b + 12", "j": "z + 9", "s": "j + 13", "e": 17}, "premises": {"e": 17}, "target": "u"}, "answer": {"steps": [["n", "d + 5", "d + 8"], ["d", "a + 7", "a + 15"], ["a", "h + 8", "h + 23"], ["h", "f + 17", "f + 40"], ["f", "e + 12", "e + 52"], ["e", 17, "69"]], "target_var_name": "u", "target_value": 69, "value_dict": {"e": 17}, "is_reverse": true}} | 788 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = n + 3; h = f + 17; e = 17; s = j + 13; z = b + 12; n = d + 5; j = z + 9; k = e + 20; d = a + 7; b = o + 12; o = k + 4; a = h + 8; f = e + 12. Given that e = 17, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 5 to u, which gives u = d + 8.\n2. Substitute d = a + 7 to u, which gives u = a + 15.\n3. Substitute a = h + 8 to u, which gives u = h + 23.\n4. Substitute h = f + 17 to u, which gives u = f + 40.\n5. Substitute f = e + 12 to u, which gives u = e + 52.\n6. Substitute e = 17 to u, which gives u = 69.\n\nThus, the final answer is u = \\boxed{69}.",
"index": 788,
"question": "Suppose a collection of variables is related by the following definitions: u = n + 3; h = f + 17; e = 17; s = j + 13; z = b + 12; n = d + 5; j = z + 9; k = e + 20; d = a + 7; b = o + 12; o = k + 4; a = h + 8; f = e + 12. Given that e = 17, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 11", "t": "z + 7", "x": "t + 18", "g": "x + 10", "v": "g + 11", "m": "v + 15", "i": "w + 15", "r": "i + 13", "e": "r + 14", "p": "e + 17", "a": "p + 16", "s": "a + 15", "w": 2}, "premises": {"w": 2}, "target": "m"}, "answer": {"steps": [["z", "w + 11", 13], ["t", "z + 7", 20], ["x", "t + 18", 38], ["g", "x + 10", 48], ["v", "g + 11", 59], ["m", "v + 15", 74]], "target_var_name": "m", "target_value": 74, "value_dict": {"w": 2, "z": 13, "t": 20, "x": 38, "g": 48, "v": 59, "m": 74}, "is_reverse": false}} | 789 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 16; s = a + 15; e = r + 14; z = w + 11; r = i + 13; i = w + 15; m = v + 15; p = e + 17; g = x + 10; t = z + 7; w = 2; v = g + 11; x = t + 18. If w = 2, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = w + 11, which gives z = 13.\n2. Compute t using t = z + 7, which gives t = 20.\n3. Compute x using x = t + 18, which gives x = 38.\n4. Compute g using g = x + 10, which gives g = 48.\n5. Compute v using v = g + 11, which gives v = 59.\n6. Compute m using m = v + 15, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 789,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 16; s = a + 15; e = r + 14; z = w + 11; r = i + 13; i = w + 15; m = v + 15; p = e + 17; g = x + 10; t = z + 7; w = 2; v = g + 11; x = t + 18. If w = 2, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 6", "j": "l + 10", "z": "j + 4", "d": "z + 11", "f": "d + 5", "m": "f + 5", "y": "h + 14", "i": "y + 16", "s": "i + 4", "c": "s + 4", "r": "c + 19", "u": "r + 1", "h": 20}, "premises": {"h": 20}, "target": "m"}, "answer": {"steps": [["f", "d + 5", "d + 10"], ["d", "z + 11", "z + 21"], ["z", "j + 4", "j + 25"], ["j", "l + 10", "l + 35"], ["l", "h + 6", "h + 41"], ["h", 20, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"h": 20}, "is_reverse": true}} | 790 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = z + 11; h = 20; i = y + 16; f = d + 5; c = s + 4; u = r + 1; y = h + 14; s = i + 4; m = f + 5; z = j + 4; j = l + 10; l = h + 6; r = c + 19. Given that h = 20, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 5 to m, which gives m = d + 10.\n2. Substitute d = z + 11 to m, which gives m = z + 21.\n3. Substitute z = j + 4 to m, which gives m = j + 25.\n4. Substitute j = l + 10 to m, which gives m = l + 35.\n5. Substitute l = h + 6 to m, which gives m = h + 41.\n6. Substitute h = 20 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 790,
"question": "Suppose a collection of variables is related by the following definitions: d = z + 11; h = 20; i = y + 16; f = d + 5; c = s + 4; u = r + 1; y = h + 14; s = i + 4; m = f + 5; z = j + 4; j = l + 10; l = h + 6; r = c + 19. Given that h = 20, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 9", "i": "m + 13", "t": "i + 17", "n": "t + 15", "v": "n + 12", "w": "v + 17", "q": "c + 8", "s": "q + 8", "u": "s + 5", "d": "u + 5", "k": "d + 5", "a": "k + 18", "c": 4}, "premises": {"c": 4}, "target": "w"}, "answer": {"steps": [["v", "n + 12", "n + 29"], ["n", "t + 15", "t + 44"], ["t", "i + 17", "i + 61"], ["i", "m + 13", "m + 74"], ["m", "c + 9", "c + 83"], ["c", 4, "87"]], "target_var_name": "w", "target_value": 87, "value_dict": {"c": 4}, "is_reverse": true}} | 791 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = 4; k = d + 5; i = m + 13; d = u + 5; n = t + 15; q = c + 8; w = v + 17; a = k + 18; m = c + 9; v = n + 12; s = q + 8; u = s + 5; t = i + 17. If c = 4, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 12 to w, which gives w = n + 29.\n2. Substitute n = t + 15 to w, which gives w = t + 44.\n3. Substitute t = i + 17 to w, which gives w = i + 61.\n4. Substitute i = m + 13 to w, which gives w = m + 74.\n5. Substitute m = c + 9 to w, which gives w = c + 83.\n6. Substitute c = 4 to w, which gives w = 87.\n\nThus, the final answer is w = \\boxed{87}.",
"index": 791,
"question": "Consider a system of variables where each variable is defined as follows: c = 4; k = d + 5; i = m + 13; d = u + 5; n = t + 15; q = c + 8; w = v + 17; a = k + 18; m = c + 9; v = n + 12; s = q + 8; u = s + 5; t = i + 17. If c = 4, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 2", "u": "p + 6", "v": "u + 20", "b": "v + 7", "z": "b + 12", "l": "z + 3", "f": "x + 2", "a": "f + 3", "q": "a + 12", "e": "q + 18", "r": "e + 2", "m": "r + 10", "x": 19}, "premises": {"x": 19}, "target": "l"}, "answer": {"steps": [["z", "b + 12", "b + 15"], ["b", "v + 7", "v + 22"], ["v", "u + 20", "u + 42"], ["u", "p + 6", "p + 48"], ["p", "x + 2", "x + 50"], ["x", 19, "69"]], "target_var_name": "l", "target_value": 69, "value_dict": {"x": 19}, "is_reverse": true}} | 792 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = e + 2; p = x + 2; u = p + 6; b = v + 7; m = r + 10; v = u + 20; z = b + 12; a = f + 3; q = a + 12; l = z + 3; e = q + 18; f = x + 2; x = 19. If x = 19, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 12 to l, which gives l = b + 15.\n2. Substitute b = v + 7 to l, which gives l = v + 22.\n3. Substitute v = u + 20 to l, which gives l = u + 42.\n4. Substitute u = p + 6 to l, which gives l = p + 48.\n5. Substitute p = x + 2 to l, which gives l = x + 50.\n6. Substitute x = 19 to l, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 792,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = e + 2; p = x + 2; u = p + 6; b = v + 7; m = r + 10; v = u + 20; z = b + 12; a = f + 3; q = a + 12; l = z + 3; e = q + 18; f = x + 2; x = 19. If x = 19, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 11", "i": "v + 4", "n": "i + 7", "p": "n + 8", "h": "p + 16", "f": "h + 6", "r": "j + 6", "o": "r + 19", "t": "o + 5", "c": "t + 3", "u": "c + 5", "e": "u + 15", "j": 16}, "premises": {"j": 16}, "target": "f"}, "answer": {"steps": [["h", "p + 16", "p + 22"], ["p", "n + 8", "n + 30"], ["n", "i + 7", "i + 37"], ["i", "v + 4", "v + 41"], ["v", "j + 11", "j + 52"], ["j", 16, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"j": 16}, "is_reverse": true}} | 793 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = u + 15; f = h + 6; j = 16; h = p + 16; o = r + 19; v = j + 11; c = t + 3; n = i + 7; u = c + 5; t = o + 5; i = v + 4; r = j + 6; p = n + 8. If j = 16, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 16 to f, which gives f = p + 22.\n2. Substitute p = n + 8 to f, which gives f = n + 30.\n3. Substitute n = i + 7 to f, which gives f = i + 37.\n4. Substitute i = v + 4 to f, which gives f = v + 41.\n5. Substitute v = j + 11 to f, which gives f = j + 52.\n6. Substitute j = 16 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 793,
"question": "Consider a system of variables where each variable is defined as follows: e = u + 15; f = h + 6; j = 16; h = p + 16; o = r + 19; v = j + 11; c = t + 3; n = i + 7; u = c + 5; t = o + 5; i = v + 4; r = j + 6; p = n + 8. If j = 16, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 17", "j": "y + 5", "n": "j + 5", "t": "n + 1", "h": "t + 7", "g": "h + 14", "w": "d + 6", "x": "w + 19", "e": "x + 15", "l": "e + 14", "f": "l + 15", "v": "f + 7", "d": 4}, "premises": {"d": 4}, "target": "g"}, "answer": {"steps": [["h", "t + 7", "t + 21"], ["t", "n + 1", "n + 22"], ["n", "j + 5", "j + 27"], ["j", "y + 5", "y + 32"], ["y", "d + 17", "d + 49"], ["d", 4, "53"]], "target_var_name": "g", "target_value": 53, "value_dict": {"d": 4}, "is_reverse": true}} | 794 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = y + 5; e = x + 15; h = t + 7; y = d + 17; w = d + 6; x = w + 19; v = f + 7; d = 4; n = j + 5; g = h + 14; t = n + 1; f = l + 15; l = e + 14. If d = 4, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 7 to g, which gives g = t + 21.\n2. Substitute t = n + 1 to g, which gives g = n + 22.\n3. Substitute n = j + 5 to g, which gives g = j + 27.\n4. Substitute j = y + 5 to g, which gives g = y + 32.\n5. Substitute y = d + 17 to g, which gives g = d + 49.\n6. Substitute d = 4 to g, which gives g = 53.\n\nThus, the final answer is g = \\boxed{53}.",
"index": 794,
"question": "Consider a system of variables where each variable is defined as follows: j = y + 5; e = x + 15; h = t + 7; y = d + 17; w = d + 6; x = w + 19; v = f + 7; d = 4; n = j + 5; g = h + 14; t = n + 1; f = l + 15; l = e + 14. If d = 4, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 4", "d": "i + 13", "v": "d + 1", "o": "v + 11", "q": "o + 14", "b": "q + 4", "h": "n + 7", "p": "h + 5", "y": "p + 2", "r": "y + 13", "f": "r + 11", "x": "f + 8", "n": 7}, "premises": {"n": 7}, "target": "b"}, "answer": {"steps": [["i", "n + 4", 11], ["d", "i + 13", 24], ["v", "d + 1", 25], ["o", "v + 11", 36], ["q", "o + 14", 50], ["b", "q + 4", 54]], "target_var_name": "b", "target_value": 54, "value_dict": {"n": 7, "i": 11, "d": 24, "v": 25, "o": 36, "q": 50, "b": 54}, "is_reverse": false}} | 795 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = f + 8; q = o + 14; f = r + 11; p = h + 5; o = v + 11; r = y + 13; h = n + 7; n = 7; d = i + 13; y = p + 2; i = n + 4; b = q + 4; v = d + 1. Given that n = 7, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = n + 4, which gives i = 11.\n2. Compute d using d = i + 13, which gives d = 24.\n3. Compute v using v = d + 1, which gives v = 25.\n4. Compute o using o = v + 11, which gives o = 36.\n5. Compute q using q = o + 14, which gives q = 50.\n6. Compute b using b = q + 4, which gives b = 54.\n\nThus, the final answer is b = \\boxed{54}.",
"index": 795,
"question": "Suppose a collection of variables is related by the following definitions: x = f + 8; q = o + 14; f = r + 11; p = h + 5; o = v + 11; r = y + 13; h = n + 7; n = 7; d = i + 13; y = p + 2; i = n + 4; b = q + 4; v = d + 1. Given that n = 7, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"i": "j + 2", "w": "i + 5", "t": "w + 2", "e": "t + 3", "a": "e + 15", "x": "a + 14", "f": "j + 3", "y": "f + 17", "s": "y + 8", "o": "s + 1", "z": "o + 15", "d": "z + 12", "j": 15}, "premises": {"j": 15}, "target": "x"}, "answer": {"steps": [["i", "j + 2", 17], ["w", "i + 5", 22], ["t", "w + 2", 24], ["e", "t + 3", 27], ["a", "e + 15", 42], ["x", "a + 14", 56]], "target_var_name": "x", "target_value": 56, "value_dict": {"j": 15, "i": 17, "w": 22, "t": 24, "e": 27, "a": 42, "x": 56}, "is_reverse": false}} | 796 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = z + 12; e = t + 3; z = o + 15; o = s + 1; f = j + 3; w = i + 5; t = w + 2; y = f + 17; i = j + 2; x = a + 14; s = y + 8; j = 15; a = e + 15. If j = 15, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = j + 2, which gives i = 17.\n2. Compute w using w = i + 5, which gives w = 22.\n3. Compute t using t = w + 2, which gives t = 24.\n4. Compute e using e = t + 3, which gives e = 27.\n5. Compute a using a = e + 15, which gives a = 42.\n6. Compute x using x = a + 14, which gives x = 56.\n\nThus, the final answer is x = \\boxed{56}.",
"index": 796,
"question": "Consider a system of variables where each variable is defined as follows: d = z + 12; e = t + 3; z = o + 15; o = s + 1; f = j + 3; w = i + 5; t = w + 2; y = f + 17; i = j + 2; x = a + 14; s = y + 8; j = 15; a = e + 15. If j = 15, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 13", "q": "f + 14", "v": "q + 20", "s": "v + 4", "p": "s + 11", "w": "p + 11", "t": "r + 8", "k": "t + 19", "l": "k + 3", "h": "l + 13", "b": "h + 18", "e": "b + 19", "r": 3}, "premises": {"r": 3}, "target": "w"}, "answer": {"steps": [["f", "r + 13", 16], ["q", "f + 14", 30], ["v", "q + 20", 50], ["s", "v + 4", 54], ["p", "s + 11", 65], ["w", "p + 11", 76]], "target_var_name": "w", "target_value": 76, "value_dict": {"r": 3, "f": 16, "q": 30, "v": 50, "s": 54, "p": 65, "w": 76}, "is_reverse": false}} | 797 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = s + 11; e = b + 19; t = r + 8; h = l + 13; w = p + 11; f = r + 13; l = k + 3; k = t + 19; r = 3; s = v + 4; q = f + 14; v = q + 20; b = h + 18. If r = 3, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = r + 13, which gives f = 16.\n2. Compute q using q = f + 14, which gives q = 30.\n3. Compute v using v = q + 20, which gives v = 50.\n4. Compute s using s = v + 4, which gives s = 54.\n5. Compute p using p = s + 11, which gives p = 65.\n6. Compute w using w = p + 11, which gives w = 76.\n\nThus, the final answer is w = \\boxed{76}.",
"index": 797,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = s + 11; e = b + 19; t = r + 8; h = l + 13; w = p + 11; f = r + 13; l = k + 3; k = t + 19; r = 3; s = v + 4; q = f + 14; v = q + 20; b = h + 18. If r = 3, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"f": "u + 12", "t": "f + 14", "w": "t + 5", "d": "w + 2", "q": "d + 13", "i": "q + 6", "h": "u + 8", "o": "h + 7", "x": "o + 18", "a": "x + 11", "v": "a + 16", "k": "v + 3", "u": 1}, "premises": {"u": 1}, "target": "i"}, "answer": {"steps": [["q", "d + 13", "d + 19"], ["d", "w + 2", "w + 21"], ["w", "t + 5", "t + 26"], ["t", "f + 14", "f + 40"], ["f", "u + 12", "u + 52"], ["u", 1, "53"]], "target_var_name": "i", "target_value": 53, "value_dict": {"u": 1}, "is_reverse": true}} | 798 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = a + 16; h = u + 8; d = w + 2; u = 1; k = v + 3; x = o + 18; i = q + 6; w = t + 5; t = f + 14; q = d + 13; a = x + 11; f = u + 12; o = h + 7. If u = 1, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 13 to i, which gives i = d + 19.\n2. Substitute d = w + 2 to i, which gives i = w + 21.\n3. Substitute w = t + 5 to i, which gives i = t + 26.\n4. Substitute t = f + 14 to i, which gives i = f + 40.\n5. Substitute f = u + 12 to i, which gives i = u + 52.\n6. Substitute u = 1 to i, which gives i = 53.\n\nThus, the final answer is i = \\boxed{53}.",
"index": 798,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = a + 16; h = u + 8; d = w + 2; u = 1; k = v + 3; x = o + 18; i = q + 6; w = t + 5; t = f + 14; q = d + 13; a = x + 11; f = u + 12; o = h + 7. If u = 1, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 5", "g": "o + 12", "h": "g + 17", "c": "h + 9", "y": "c + 11", "s": "y + 20", "u": "f + 3", "z": "u + 20", "q": "z + 4", "k": "q + 1", "w": "k + 12", "a": "w + 5", "f": 1}, "premises": {"f": 1}, "target": "s"}, "answer": {"steps": [["o", "f + 5", 6], ["g", "o + 12", 18], ["h", "g + 17", 35], ["c", "h + 9", 44], ["y", "c + 11", 55], ["s", "y + 20", 75]], "target_var_name": "s", "target_value": 75, "value_dict": {"f": 1, "o": 6, "g": 18, "h": 35, "c": 44, "y": 55, "s": 75}, "is_reverse": false}} | 799 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = c + 11; k = q + 1; u = f + 3; w = k + 12; s = y + 20; o = f + 5; z = u + 20; c = h + 9; g = o + 12; h = g + 17; a = w + 5; f = 1; q = z + 4. Given that f = 1, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = f + 5, which gives o = 6.\n2. Compute g using g = o + 12, which gives g = 18.\n3. Compute h using h = g + 17, which gives h = 35.\n4. Compute c using c = h + 9, which gives c = 44.\n5. Compute y using y = c + 11, which gives y = 55.\n6. Compute s using s = y + 20, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 799,
"question": "Suppose a collection of variables is related by the following definitions: y = c + 11; k = q + 1; u = f + 3; w = k + 12; s = y + 20; o = f + 5; z = u + 20; c = h + 9; g = o + 12; h = g + 17; a = w + 5; f = 1; q = z + 4. Given that f = 1, find the value of s.",
"split": "train"
} |
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