meta
stringlengths 493
517
| id
int64 0
25.6k
| problem_solution_idx
int64 0
0
| world_id
stringclasses 1
value | data_source
stringclasses 1
value | prompt
listlengths 1
1
| ability
stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"h": "k + 3", "m": "h + 16", "z": "m + 19", "e": "z + 6", "r": "e + 2", "o": "r + 13", "y": "k + 18", "q": "y + 16", "s": "q + 1", "g": "s + 11", "w": "g + 11", "l": "w + 16", "k": 20}, "premises": {"k": 20}, "target": "o"}, "answer": {"steps": [["r", "e + 2", "e + 15"], ["e", "z + 6", "z + 21"], ["z", "m + 19", "m + 40"], ["m", "h + 16", "h + 56"], ["h", "k + 3", "k + 59"], ["k", 20, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"k": 20}, "is_reverse": true}}
| 23,500
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 11; q = y + 16; z = m + 19; e = z + 6; o = r + 13; l = w + 16; k = 20; h = k + 3; s = q + 1; m = h + 16; r = e + 2; y = k + 18; g = s + 11. If k = 20, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 2 to o, which gives o = e + 15.\n2. Substitute e = z + 6 to o, which gives o = z + 21.\n3. Substitute z = m + 19 to o, which gives o = m + 40.\n4. Substitute m = h + 16 to o, which gives o = h + 56.\n5. Substitute h = k + 3 to o, which gives o = k + 59.\n6. Substitute k = 20 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 23500,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 11; q = y + 16; z = m + 19; e = z + 6; o = r + 13; l = w + 16; k = 20; h = k + 3; s = q + 1; m = h + 16; r = e + 2; y = k + 18; g = s + 11. If k = 20, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"y": "z + 19", "h": "y + 3", "p": "h + 3", "o": "p + 15", "g": "o + 6", "b": "g + 12", "t": "z + 3", "c": "t + 1", "l": "c + 18", "v": "l + 2", "f": "v + 14", "e": "f + 15", "z": 17}, "premises": {"z": 17}, "target": "b"}, "answer": {"steps": [["g", "o + 6", "o + 18"], ["o", "p + 15", "p + 33"], ["p", "h + 3", "h + 36"], ["h", "y + 3", "y + 39"], ["y", "z + 19", "z + 58"], ["z", 17, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"z": 17}, "is_reverse": true}}
| 23,501
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = h + 3; e = f + 15; t = z + 3; v = l + 2; o = p + 15; c = t + 1; z = 17; g = o + 6; b = g + 12; h = y + 3; y = z + 19; l = c + 18; f = v + 14. If z = 17, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 6 to b, which gives b = o + 18.\n2. Substitute o = p + 15 to b, which gives b = p + 33.\n3. Substitute p = h + 3 to b, which gives b = h + 36.\n4. Substitute h = y + 3 to b, which gives b = y + 39.\n5. Substitute y = z + 19 to b, which gives b = z + 58.\n6. Substitute z = 17 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 23501,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = h + 3; e = f + 15; t = z + 3; v = l + 2; o = p + 15; c = t + 1; z = 17; g = o + 6; b = g + 12; h = y + 3; y = z + 19; l = c + 18; f = v + 14. If z = 17, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"v": "k + 14", "t": "v + 10", "a": "t + 10", "c": "a + 8", "o": "c + 19", "b": "o + 7", "s": "k + 17", "l": "s + 8", "q": "l + 8", "d": "q + 11", "m": "d + 20", "y": "m + 8", "k": 11}, "premises": {"k": 11}, "target": "b"}, "answer": {"steps": [["o", "c + 19", "c + 26"], ["c", "a + 8", "a + 34"], ["a", "t + 10", "t + 44"], ["t", "v + 10", "v + 54"], ["v", "k + 14", "k + 68"], ["k", 11, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"k": 11}, "is_reverse": true}}
| 23,502
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = q + 11; l = s + 8; v = k + 14; m = d + 20; a = t + 10; t = v + 10; s = k + 17; c = a + 8; o = c + 19; k = 11; y = m + 8; q = l + 8; b = o + 7. If k = 11, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 19 to b, which gives b = c + 26.\n2. Substitute c = a + 8 to b, which gives b = a + 34.\n3. Substitute a = t + 10 to b, which gives b = t + 44.\n4. Substitute t = v + 10 to b, which gives b = v + 54.\n5. Substitute v = k + 14 to b, which gives b = k + 68.\n6. Substitute k = 11 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 23502,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = q + 11; l = s + 8; v = k + 14; m = d + 20; a = t + 10; t = v + 10; s = k + 17; c = a + 8; o = c + 19; k = 11; y = m + 8; q = l + 8; b = o + 7. If k = 11, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"e": "v + 13", "k": "e + 9", "c": "k + 19", "m": "c + 6", "t": "m + 18", "b": "t + 19", "g": "v + 3", "j": "g + 7", "i": "j + 9", "o": "i + 20", "r": "o + 19", "u": "r + 14", "v": 3}, "premises": {"v": 3}, "target": "b"}, "answer": {"steps": [["t", "m + 18", "m + 37"], ["m", "c + 6", "c + 43"], ["c", "k + 19", "k + 62"], ["k", "e + 9", "e + 71"], ["e", "v + 13", "v + 84"], ["v", 3, "87"]], "target_var_name": "b", "target_value": 87, "value_dict": {"v": 3}, "is_reverse": true}}
| 23,503
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = k + 19; b = t + 19; i = j + 9; o = i + 20; v = 3; r = o + 19; e = v + 13; u = r + 14; g = v + 3; k = e + 9; m = c + 6; t = m + 18; j = g + 7. If v = 3, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 18 to b, which gives b = m + 37.\n2. Substitute m = c + 6 to b, which gives b = c + 43.\n3. Substitute c = k + 19 to b, which gives b = k + 62.\n4. Substitute k = e + 9 to b, which gives b = e + 71.\n5. Substitute e = v + 13 to b, which gives b = v + 84.\n6. Substitute v = 3 to b, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 23503,
"question": "Consider a system of variables where each variable is defined as follows: c = k + 19; b = t + 19; i = j + 9; o = i + 20; v = 3; r = o + 19; e = v + 13; u = r + 14; g = v + 3; k = e + 9; m = c + 6; t = m + 18; j = g + 7. If v = 3, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"h": "f + 13", "s": "h + 9", "a": "s + 15", "b": "a + 2", "x": "b + 16", "z": "x + 2", "d": "f + 8", "v": "d + 3", "o": "v + 2", "n": "o + 17", "w": "n + 14", "q": "w + 5", "f": 14}, "premises": {"f": 14}, "target": "z"}, "answer": {"steps": [["x", "b + 16", "b + 18"], ["b", "a + 2", "a + 20"], ["a", "s + 15", "s + 35"], ["s", "h + 9", "h + 44"], ["h", "f + 13", "f + 57"], ["f", 14, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"f": 14}, "is_reverse": true}}
| 23,504
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = o + 17; d = f + 8; x = b + 16; o = v + 2; s = h + 9; f = 14; w = n + 14; a = s + 15; q = w + 5; b = a + 2; v = d + 3; z = x + 2; h = f + 13. Given that f = 14, find 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. Substitute x = b + 16 to z, which gives z = b + 18.\n2. Substitute b = a + 2 to z, which gives z = a + 20.\n3. Substitute a = s + 15 to z, which gives z = s + 35.\n4. Substitute s = h + 9 to z, which gives z = h + 44.\n5. Substitute h = f + 13 to z, which gives z = f + 57.\n6. Substitute f = 14 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 23504,
"question": "Suppose a collection of variables is related by the following definitions: n = o + 17; d = f + 8; x = b + 16; o = v + 2; s = h + 9; f = 14; w = n + 14; a = s + 15; q = w + 5; b = a + 2; v = d + 3; z = x + 2; h = f + 13. Given that f = 14, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"o": "s + 19", "b": "o + 19", "x": "b + 2", "v": "x + 8", "n": "v + 13", "g": "n + 13", "y": "s + 12", "m": "y + 19", "l": "m + 14", "t": "l + 19", "a": "t + 2", "z": "a + 3", "s": 4}, "premises": {"s": 4}, "target": "g"}, "answer": {"steps": [["n", "v + 13", "v + 26"], ["v", "x + 8", "x + 34"], ["x", "b + 2", "b + 36"], ["b", "o + 19", "o + 55"], ["o", "s + 19", "s + 74"], ["s", 4, "78"]], "target_var_name": "g", "target_value": 78, "value_dict": {"s": 4}, "is_reverse": true}}
| 23,505
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = b + 2; b = o + 19; z = a + 3; o = s + 19; l = m + 14; m = y + 19; a = t + 2; t = l + 19; y = s + 12; n = v + 13; g = n + 13; v = x + 8; s = 4. If s = 4, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 13 to g, which gives g = v + 26.\n2. Substitute v = x + 8 to g, which gives g = x + 34.\n3. Substitute x = b + 2 to g, which gives g = b + 36.\n4. Substitute b = o + 19 to g, which gives g = o + 55.\n5. Substitute o = s + 19 to g, which gives g = s + 74.\n6. Substitute s = 4 to g, which gives g = 78.\n\nThus, the final answer is g = \\boxed{78}.",
"index": 23505,
"question": "Consider a system of variables where each variable is defined as follows: x = b + 2; b = o + 19; z = a + 3; o = s + 19; l = m + 14; m = y + 19; a = t + 2; t = l + 19; y = s + 12; n = v + 13; g = n + 13; v = x + 8; s = 4. If s = 4, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"h": "u + 11", "j": "h + 6", "b": "j + 20", "r": "b + 4", "m": "r + 15", "p": "m + 15", "x": "u + 9", "s": "x + 15", "t": "s + 2", "w": "t + 13", "e": "w + 15", "y": "e + 5", "u": 15}, "premises": {"u": 15}, "target": "p"}, "answer": {"steps": [["m", "r + 15", "r + 30"], ["r", "b + 4", "b + 34"], ["b", "j + 20", "j + 54"], ["j", "h + 6", "h + 60"], ["h", "u + 11", "u + 71"], ["u", 15, "86"]], "target_var_name": "p", "target_value": 86, "value_dict": {"u": 15}, "is_reverse": true}}
| 23,506
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = m + 15; x = u + 9; u = 15; h = u + 11; t = s + 2; s = x + 15; y = e + 5; j = h + 6; r = b + 4; b = j + 20; e = w + 15; w = t + 13; m = r + 15. If u = 15, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 15 to p, which gives p = r + 30.\n2. Substitute r = b + 4 to p, which gives p = b + 34.\n3. Substitute b = j + 20 to p, which gives p = j + 54.\n4. Substitute j = h + 6 to p, which gives p = h + 60.\n5. Substitute h = u + 11 to p, which gives p = u + 71.\n6. Substitute u = 15 to p, which gives p = 86.\n\nThus, the final answer is p = \\boxed{86}.",
"index": 23506,
"question": "Consider a system of variables where each variable is defined as follows: p = m + 15; x = u + 9; u = 15; h = u + 11; t = s + 2; s = x + 15; y = e + 5; j = h + 6; r = b + 4; b = j + 20; e = w + 15; w = t + 13; m = r + 15. If u = 15, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"b": "f + 20", "d": "b + 3", "c": "d + 13", "u": "c + 1", "v": "u + 7", "g": "v + 14", "l": "f + 18", "i": "l + 4", "m": "i + 1", "j": "m + 8", "p": "j + 20", "q": "p + 4", "f": 12}, "premises": {"f": 12}, "target": "g"}, "answer": {"steps": [["v", "u + 7", "u + 21"], ["u", "c + 1", "c + 22"], ["c", "d + 13", "d + 35"], ["d", "b + 3", "b + 38"], ["b", "f + 20", "f + 58"], ["f", 12, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"f": 12}, "is_reverse": true}}
| 23,507
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = p + 4; p = j + 20; v = u + 7; i = l + 4; f = 12; d = b + 3; j = m + 8; m = i + 1; u = c + 1; c = d + 13; l = f + 18; g = v + 14; b = f + 20. Given that f = 12, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 7 to g, which gives g = u + 21.\n2. Substitute u = c + 1 to g, which gives g = c + 22.\n3. Substitute c = d + 13 to g, which gives g = d + 35.\n4. Substitute d = b + 3 to g, which gives g = b + 38.\n5. Substitute b = f + 20 to g, which gives g = f + 58.\n6. Substitute f = 12 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 23507,
"question": "Suppose a collection of variables is related by the following definitions: q = p + 4; p = j + 20; v = u + 7; i = l + 4; f = 12; d = b + 3; j = m + 8; m = i + 1; u = c + 1; c = d + 13; l = f + 18; g = v + 14; b = f + 20. Given that f = 12, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"p": "y + 10", "b": "p + 12", "c": "b + 10", "j": "c + 18", "a": "j + 5", "q": "a + 5", "v": "y + 2", "g": "v + 1", "r": "g + 13", "m": "r + 20", "i": "m + 10", "n": "i + 11", "y": 9}, "premises": {"y": 9}, "target": "q"}, "answer": {"steps": [["a", "j + 5", "j + 10"], ["j", "c + 18", "c + 28"], ["c", "b + 10", "b + 38"], ["b", "p + 12", "p + 50"], ["p", "y + 10", "y + 60"], ["y", 9, "69"]], "target_var_name": "q", "target_value": 69, "value_dict": {"y": 9}, "is_reverse": true}}
| 23,508
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = b + 10; g = v + 1; q = a + 5; n = i + 11; r = g + 13; p = y + 10; v = y + 2; y = 9; m = r + 20; b = p + 12; a = j + 5; j = c + 18; i = m + 10. If y = 9, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 5 to q, which gives q = j + 10.\n2. Substitute j = c + 18 to q, which gives q = c + 28.\n3. Substitute c = b + 10 to q, which gives q = b + 38.\n4. Substitute b = p + 12 to q, which gives q = p + 50.\n5. Substitute p = y + 10 to q, which gives q = y + 60.\n6. Substitute y = 9 to q, which gives q = 69.\n\nThus, the final answer is q = \\boxed{69}.",
"index": 23508,
"question": "Consider a system of variables where each variable is defined as follows: c = b + 10; g = v + 1; q = a + 5; n = i + 11; r = g + 13; p = y + 10; v = y + 2; y = 9; m = r + 20; b = p + 12; a = j + 5; j = c + 18; i = m + 10. If y = 9, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"e": "o + 16", "a": "e + 20", "y": "a + 15", "z": "y + 5", "x": "z + 6", "p": "x + 14", "r": "o + 5", "q": "r + 15", "c": "q + 4", "n": "c + 17", "s": "n + 20", "d": "s + 16", "o": 16}, "premises": {"o": 16}, "target": "p"}, "answer": {"steps": [["x", "z + 6", "z + 20"], ["z", "y + 5", "y + 25"], ["y", "a + 15", "a + 40"], ["a", "e + 20", "e + 60"], ["e", "o + 16", "o + 76"], ["o", 16, "92"]], "target_var_name": "p", "target_value": 92, "value_dict": {"o": 16}, "is_reverse": true}}
| 23,509
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = o + 5; q = r + 15; n = c + 17; y = a + 15; o = 16; s = n + 20; c = q + 4; z = y + 5; e = o + 16; d = s + 16; x = z + 6; p = x + 14; a = e + 20. Given that o = 16, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 6 to p, which gives p = z + 20.\n2. Substitute z = y + 5 to p, which gives p = y + 25.\n3. Substitute y = a + 15 to p, which gives p = a + 40.\n4. Substitute a = e + 20 to p, which gives p = e + 60.\n5. Substitute e = o + 16 to p, which gives p = o + 76.\n6. Substitute o = 16 to p, which gives p = 92.\n\nThus, the final answer is p = \\boxed{92}.",
"index": 23509,
"question": "Suppose a collection of variables is related by the following definitions: r = o + 5; q = r + 15; n = c + 17; y = a + 15; o = 16; s = n + 20; c = q + 4; z = y + 5; e = o + 16; d = s + 16; x = z + 6; p = x + 14; a = e + 20. Given that o = 16, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"q": "g + 20", "d": "q + 6", "y": "d + 10", "w": "y + 1", "z": "w + 1", "i": "z + 14", "v": "g + 5", "s": "v + 12", "r": "s + 19", "m": "r + 1", "p": "m + 4", "a": "p + 14", "g": 2}, "premises": {"g": 2}, "target": "i"}, "answer": {"steps": [["z", "w + 1", "w + 15"], ["w", "y + 1", "y + 16"], ["y", "d + 10", "d + 26"], ["d", "q + 6", "q + 32"], ["q", "g + 20", "g + 52"], ["g", 2, "54"]], "target_var_name": "i", "target_value": 54, "value_dict": {"g": 2}, "is_reverse": true}}
| 23,510
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = d + 10; p = m + 4; w = y + 1; m = r + 1; z = w + 1; r = s + 19; d = q + 6; a = p + 14; i = z + 14; v = g + 5; q = g + 20; g = 2; s = v + 12. Given that g = 2, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 1 to i, which gives i = w + 15.\n2. Substitute w = y + 1 to i, which gives i = y + 16.\n3. Substitute y = d + 10 to i, which gives i = d + 26.\n4. Substitute d = q + 6 to i, which gives i = q + 32.\n5. Substitute q = g + 20 to i, which gives i = g + 52.\n6. Substitute g = 2 to i, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 23510,
"question": "Suppose a collection of variables is related by the following definitions: y = d + 10; p = m + 4; w = y + 1; m = r + 1; z = w + 1; r = s + 19; d = q + 6; a = p + 14; i = z + 14; v = g + 5; q = g + 20; g = 2; s = v + 12. Given that g = 2, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"x": "v + 2", "u": "x + 1", "c": "u + 17", "l": "c + 16", "a": "l + 12", "q": "a + 4", "p": "v + 9", "n": "p + 14", "k": "n + 4", "f": "k + 8", "h": "f + 20", "z": "h + 12", "v": 12}, "premises": {"v": 12}, "target": "q"}, "answer": {"steps": [["a", "l + 12", "l + 16"], ["l", "c + 16", "c + 32"], ["c", "u + 17", "u + 49"], ["u", "x + 1", "x + 50"], ["x", "v + 2", "v + 52"], ["v", 12, "64"]], "target_var_name": "q", "target_value": 64, "value_dict": {"v": 12}, "is_reverse": true}}
| 23,511
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = k + 8; n = p + 14; c = u + 17; q = a + 4; u = x + 1; a = l + 12; z = h + 12; x = v + 2; v = 12; l = c + 16; h = f + 20; p = v + 9; k = n + 4. If v = 12, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 12 to q, which gives q = l + 16.\n2. Substitute l = c + 16 to q, which gives q = c + 32.\n3. Substitute c = u + 17 to q, which gives q = u + 49.\n4. Substitute u = x + 1 to q, which gives q = x + 50.\n5. Substitute x = v + 2 to q, which gives q = v + 52.\n6. Substitute v = 12 to q, which gives q = 64.\n\nThus, the final answer is q = \\boxed{64}.",
"index": 23511,
"question": "Consider a system of variables where each variable is defined as follows: f = k + 8; n = p + 14; c = u + 17; q = a + 4; u = x + 1; a = l + 12; z = h + 12; x = v + 2; v = 12; l = c + 16; h = f + 20; p = v + 9; k = n + 4. If v = 12, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"p": "f + 6", "z": "p + 10", "e": "z + 2", "w": "e + 14", "v": "w + 16", "b": "v + 17", "q": "f + 14", "k": "q + 19", "g": "k + 10", "a": "g + 7", "j": "a + 2", "s": "j + 12", "f": 18}, "premises": {"f": 18}, "target": "b"}, "answer": {"steps": [["v", "w + 16", "w + 33"], ["w", "e + 14", "e + 47"], ["e", "z + 2", "z + 49"], ["z", "p + 10", "p + 59"], ["p", "f + 6", "f + 65"], ["f", 18, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"f": 18}, "is_reverse": true}}
| 23,512
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = p + 10; f = 18; j = a + 2; a = g + 7; g = k + 10; k = q + 19; v = w + 16; p = f + 6; q = f + 14; w = e + 14; b = v + 17; s = j + 12; e = z + 2. If f = 18, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 16 to b, which gives b = w + 33.\n2. Substitute w = e + 14 to b, which gives b = e + 47.\n3. Substitute e = z + 2 to b, which gives b = z + 49.\n4. Substitute z = p + 10 to b, which gives b = p + 59.\n5. Substitute p = f + 6 to b, which gives b = f + 65.\n6. Substitute f = 18 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 23512,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = p + 10; f = 18; j = a + 2; a = g + 7; g = k + 10; k = q + 19; v = w + 16; p = f + 6; q = f + 14; w = e + 14; b = v + 17; s = j + 12; e = z + 2. If f = 18, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"w": "o + 19", "p": "w + 12", "v": "p + 2", "r": "v + 9", "z": "r + 15", "k": "z + 10", "m": "o + 6", "q": "m + 20", "y": "q + 8", "j": "y + 9", "n": "j + 19", "a": "n + 20", "o": 13}, "premises": {"o": 13}, "target": "k"}, "answer": {"steps": [["z", "r + 15", "r + 25"], ["r", "v + 9", "v + 34"], ["v", "p + 2", "p + 36"], ["p", "w + 12", "w + 48"], ["w", "o + 19", "o + 67"], ["o", 13, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"o": 13}, "is_reverse": true}}
| 23,513
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = z + 10; r = v + 9; a = n + 20; m = o + 6; v = p + 2; q = m + 20; w = o + 19; y = q + 8; p = w + 12; o = 13; n = j + 19; z = r + 15; j = y + 9. Given that o = 13, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 15 to k, which gives k = r + 25.\n2. Substitute r = v + 9 to k, which gives k = v + 34.\n3. Substitute v = p + 2 to k, which gives k = p + 36.\n4. Substitute p = w + 12 to k, which gives k = w + 48.\n5. Substitute w = o + 19 to k, which gives k = o + 67.\n6. Substitute o = 13 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 23513,
"question": "Suppose a collection of variables is related by the following definitions: k = z + 10; r = v + 9; a = n + 20; m = o + 6; v = p + 2; q = m + 20; w = o + 19; y = q + 8; p = w + 12; o = 13; n = j + 19; z = r + 15; j = y + 9. Given that o = 13, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"y": "o + 12", "j": "y + 15", "d": "j + 13", "l": "d + 1", "v": "l + 6", "e": "v + 4", "i": "o + 12", "w": "i + 7", "q": "w + 12", "f": "q + 17", "t": "f + 8", "p": "t + 16", "o": 14}, "premises": {"o": 14}, "target": "e"}, "answer": {"steps": [["v", "l + 6", "l + 10"], ["l", "d + 1", "d + 11"], ["d", "j + 13", "j + 24"], ["j", "y + 15", "y + 39"], ["y", "o + 12", "o + 51"], ["o", 14, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"o": 14}, "is_reverse": true}}
| 23,514
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = f + 8; o = 14; j = y + 15; p = t + 16; w = i + 7; v = l + 6; f = q + 17; e = v + 4; q = w + 12; y = o + 12; d = j + 13; i = o + 12; l = d + 1. If o = 14, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 6 to e, which gives e = l + 10.\n2. Substitute l = d + 1 to e, which gives e = d + 11.\n3. Substitute d = j + 13 to e, which gives e = j + 24.\n4. Substitute j = y + 15 to e, which gives e = y + 39.\n5. Substitute y = o + 12 to e, which gives e = o + 51.\n6. Substitute o = 14 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 23514,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = f + 8; o = 14; j = y + 15; p = t + 16; w = i + 7; v = l + 6; f = q + 17; e = v + 4; q = w + 12; y = o + 12; d = j + 13; i = o + 12; l = d + 1. If o = 14, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"k": "v + 8", "z": "k + 17", "c": "z + 14", "l": "c + 3", "o": "l + 6", "i": "o + 17", "p": "v + 4", "w": "p + 2", "y": "w + 17", "m": "y + 7", "e": "m + 11", "b": "e + 15", "v": 15}, "premises": {"v": 15}, "target": "i"}, "answer": {"steps": [["o", "l + 6", "l + 23"], ["l", "c + 3", "c + 26"], ["c", "z + 14", "z + 40"], ["z", "k + 17", "k + 57"], ["k", "v + 8", "v + 65"], ["v", 15, "80"]], "target_var_name": "i", "target_value": 80, "value_dict": {"v": 15}, "is_reverse": true}}
| 23,515
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = o + 17; v = 15; l = c + 3; k = v + 8; z = k + 17; c = z + 14; e = m + 11; m = y + 7; b = e + 15; p = v + 4; o = l + 6; w = p + 2; y = w + 17. Given that v = 15, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 6 to i, which gives i = l + 23.\n2. Substitute l = c + 3 to i, which gives i = c + 26.\n3. Substitute c = z + 14 to i, which gives i = z + 40.\n4. Substitute z = k + 17 to i, which gives i = k + 57.\n5. Substitute k = v + 8 to i, which gives i = v + 65.\n6. Substitute v = 15 to i, which gives i = 80.\n\nThus, the final answer is i = \\boxed{80}.",
"index": 23515,
"question": "Suppose a collection of variables is related by the following definitions: i = o + 17; v = 15; l = c + 3; k = v + 8; z = k + 17; c = z + 14; e = m + 11; m = y + 7; b = e + 15; p = v + 4; o = l + 6; w = p + 2; y = w + 17. Given that v = 15, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"c": "l + 3", "u": "c + 4", "b": "u + 8", "s": "b + 17", "w": "s + 14", "i": "w + 5", "m": "l + 10", "h": "m + 9", "o": "h + 14", "r": "o + 14", "v": "r + 3", "g": "v + 20", "l": 14}, "premises": {"l": 14}, "target": "i"}, "answer": {"steps": [["w", "s + 14", "s + 19"], ["s", "b + 17", "b + 36"], ["b", "u + 8", "u + 44"], ["u", "c + 4", "c + 48"], ["c", "l + 3", "l + 51"], ["l", 14, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"l": 14}, "is_reverse": true}}
| 23,516
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 14; m = l + 10; u = c + 4; w = s + 14; s = b + 17; b = u + 8; l = 14; i = w + 5; g = v + 20; h = m + 9; r = o + 14; v = r + 3; c = l + 3. If l = 14, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 14 to i, which gives i = s + 19.\n2. Substitute s = b + 17 to i, which gives i = b + 36.\n3. Substitute b = u + 8 to i, which gives i = u + 44.\n4. Substitute u = c + 4 to i, which gives i = c + 48.\n5. Substitute c = l + 3 to i, which gives i = l + 51.\n6. Substitute l = 14 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 23516,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 14; m = l + 10; u = c + 4; w = s + 14; s = b + 17; b = u + 8; l = 14; i = w + 5; g = v + 20; h = m + 9; r = o + 14; v = r + 3; c = l + 3. If l = 14, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"g": "z + 6", "w": "g + 16", "n": "w + 3", "f": "n + 2", "y": "f + 17", "a": "y + 5", "e": "z + 16", "q": "e + 9", "d": "q + 15", "o": "d + 2", "s": "o + 7", "l": "s + 5", "z": 4}, "premises": {"z": 4}, "target": "a"}, "answer": {"steps": [["y", "f + 17", "f + 22"], ["f", "n + 2", "n + 24"], ["n", "w + 3", "w + 27"], ["w", "g + 16", "g + 43"], ["g", "z + 6", "z + 49"], ["z", 4, "53"]], "target_var_name": "a", "target_value": 53, "value_dict": {"z": 4}, "is_reverse": true}}
| 23,517
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = s + 5; q = e + 9; g = z + 6; w = g + 16; y = f + 17; a = y + 5; o = d + 2; d = q + 15; f = n + 2; n = w + 3; e = z + 16; z = 4; s = o + 7. If z = 4, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 17 to a, which gives a = f + 22.\n2. Substitute f = n + 2 to a, which gives a = n + 24.\n3. Substitute n = w + 3 to a, which gives a = w + 27.\n4. Substitute w = g + 16 to a, which gives a = g + 43.\n5. Substitute g = z + 6 to a, which gives a = z + 49.\n6. Substitute z = 4 to a, which gives a = 53.\n\nThus, the final answer is a = \\boxed{53}.",
"index": 23517,
"question": "Consider a system of variables where each variable is defined as follows: l = s + 5; q = e + 9; g = z + 6; w = g + 16; y = f + 17; a = y + 5; o = d + 2; d = q + 15; f = n + 2; n = w + 3; e = z + 16; z = 4; s = o + 7. If z = 4, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"w": "i + 15", "m": "w + 8", "x": "m + 4", "c": "x + 15", "k": "c + 14", "r": "k + 6", "v": "i + 2", "q": "v + 6", "d": "q + 10", "g": "d + 6", "z": "g + 1", "j": "z + 9", "i": 13}, "premises": {"i": 13}, "target": "r"}, "answer": {"steps": [["k", "c + 14", "c + 20"], ["c", "x + 15", "x + 35"], ["x", "m + 4", "m + 39"], ["m", "w + 8", "w + 47"], ["w", "i + 15", "i + 62"], ["i", 13, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"i": 13}, "is_reverse": true}}
| 23,518
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = z + 9; d = q + 10; k = c + 14; c = x + 15; r = k + 6; z = g + 1; g = d + 6; w = i + 15; v = i + 2; x = m + 4; q = v + 6; i = 13; m = w + 8. Given that i = 13, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 14 to r, which gives r = c + 20.\n2. Substitute c = x + 15 to r, which gives r = x + 35.\n3. Substitute x = m + 4 to r, which gives r = m + 39.\n4. Substitute m = w + 8 to r, which gives r = w + 47.\n5. Substitute w = i + 15 to r, which gives r = i + 62.\n6. Substitute i = 13 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 23518,
"question": "Suppose a collection of variables is related by the following definitions: j = z + 9; d = q + 10; k = c + 14; c = x + 15; r = k + 6; z = g + 1; g = d + 6; w = i + 15; v = i + 2; x = m + 4; q = v + 6; i = 13; m = w + 8. Given that i = 13, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"c": "a + 15", "x": "c + 5", "n": "x + 6", "i": "n + 18", "p": "i + 2", "h": "p + 9", "t": "a + 13", "l": "t + 1", "b": "l + 6", "u": "b + 5", "o": "u + 14", "d": "o + 16", "a": 15}, "premises": {"a": 15}, "target": "h"}, "answer": {"steps": [["p", "i + 2", "i + 11"], ["i", "n + 18", "n + 29"], ["n", "x + 6", "x + 35"], ["x", "c + 5", "c + 40"], ["c", "a + 15", "a + 55"], ["a", 15, "70"]], "target_var_name": "h", "target_value": 70, "value_dict": {"a": 15}, "is_reverse": true}}
| 23,519
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = u + 14; l = t + 1; h = p + 9; t = a + 13; d = o + 16; i = n + 18; x = c + 5; b = l + 6; p = i + 2; u = b + 5; c = a + 15; a = 15; n = x + 6. If a = 15, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 2 to h, which gives h = i + 11.\n2. Substitute i = n + 18 to h, which gives h = n + 29.\n3. Substitute n = x + 6 to h, which gives h = x + 35.\n4. Substitute x = c + 5 to h, which gives h = c + 40.\n5. Substitute c = a + 15 to h, which gives h = a + 55.\n6. Substitute a = 15 to h, which gives h = 70.\n\nThus, the final answer is h = \\boxed{70}.",
"index": 23519,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = u + 14; l = t + 1; h = p + 9; t = a + 13; d = o + 16; i = n + 18; x = c + 5; b = l + 6; p = i + 2; u = b + 5; c = a + 15; a = 15; n = x + 6. If a = 15, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"i": "t + 14", "v": "i + 12", "q": "v + 9", "n": "q + 18", "x": "n + 13", "f": "x + 2", "m": "t + 17", "s": "m + 11", "o": "s + 5", "k": "o + 5", "j": "k + 12", "w": "j + 10", "t": 4}, "premises": {"t": 4}, "target": "f"}, "answer": {"steps": [["x", "n + 13", "n + 15"], ["n", "q + 18", "q + 33"], ["q", "v + 9", "v + 42"], ["v", "i + 12", "i + 54"], ["i", "t + 14", "t + 68"], ["t", 4, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"t": 4}, "is_reverse": true}}
| 23,520
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = t + 14; j = k + 12; o = s + 5; w = j + 10; n = q + 18; f = x + 2; q = v + 9; s = m + 11; x = n + 13; t = 4; m = t + 17; k = o + 5; v = i + 12. If t = 4, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 13 to f, which gives f = n + 15.\n2. Substitute n = q + 18 to f, which gives f = q + 33.\n3. Substitute q = v + 9 to f, which gives f = v + 42.\n4. Substitute v = i + 12 to f, which gives f = i + 54.\n5. Substitute i = t + 14 to f, which gives f = t + 68.\n6. Substitute t = 4 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 23520,
"question": "Consider a system of variables where each variable is defined as follows: i = t + 14; j = k + 12; o = s + 5; w = j + 10; n = q + 18; f = x + 2; q = v + 9; s = m + 11; x = n + 13; t = 4; m = t + 17; k = o + 5; v = i + 12. If t = 4, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"u": "m + 8", "x": "u + 9", "t": "x + 20", "g": "t + 13", "q": "g + 11", "e": "q + 5", "k": "m + 19", "w": "k + 13", "z": "w + 10", "r": "z + 11", "j": "r + 6", "d": "j + 17", "m": 13}, "premises": {"m": 13}, "target": "e"}, "answer": {"steps": [["q", "g + 11", "g + 16"], ["g", "t + 13", "t + 29"], ["t", "x + 20", "x + 49"], ["x", "u + 9", "u + 58"], ["u", "m + 8", "m + 66"], ["m", 13, "79"]], "target_var_name": "e", "target_value": 79, "value_dict": {"m": 13}, "is_reverse": true}}
| 23,521
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = q + 5; j = r + 6; q = g + 11; m = 13; k = m + 19; d = j + 17; x = u + 9; t = x + 20; z = w + 10; u = m + 8; r = z + 11; g = t + 13; w = k + 13. If m = 13, 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. Substitute q = g + 11 to e, which gives e = g + 16.\n2. Substitute g = t + 13 to e, which gives e = t + 29.\n3. Substitute t = x + 20 to e, which gives e = x + 49.\n4. Substitute x = u + 9 to e, which gives e = u + 58.\n5. Substitute u = m + 8 to e, which gives e = m + 66.\n6. Substitute m = 13 to e, which gives e = 79.\n\nThus, the final answer is e = \\boxed{79}.",
"index": 23521,
"question": "Consider a system of variables where each variable is defined as follows: e = q + 5; j = r + 6; q = g + 11; m = 13; k = m + 19; d = j + 17; x = u + 9; t = x + 20; z = w + 10; u = m + 8; r = z + 11; g = t + 13; w = k + 13. If m = 13, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"n": "j + 13", "m": "n + 16", "r": "m + 9", "b": "r + 2", "l": "b + 14", "c": "l + 8", "d": "j + 13", "u": "d + 1", "a": "u + 11", "x": "a + 8", "q": "x + 7", "e": "q + 11", "j": 8}, "premises": {"j": 8}, "target": "c"}, "answer": {"steps": [["l", "b + 14", "b + 22"], ["b", "r + 2", "r + 24"], ["r", "m + 9", "m + 33"], ["m", "n + 16", "n + 49"], ["n", "j + 13", "j + 62"], ["j", 8, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"j": 8}, "is_reverse": true}}
| 23,522
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 16; c = l + 8; a = u + 11; j = 8; l = b + 14; r = m + 9; q = x + 7; n = j + 13; d = j + 13; u = d + 1; e = q + 11; x = a + 8; b = r + 2. If j = 8, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 14 to c, which gives c = b + 22.\n2. Substitute b = r + 2 to c, which gives c = r + 24.\n3. Substitute r = m + 9 to c, which gives c = m + 33.\n4. Substitute m = n + 16 to c, which gives c = n + 49.\n5. Substitute n = j + 13 to c, which gives c = j + 62.\n6. Substitute j = 8 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 23522,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 16; c = l + 8; a = u + 11; j = 8; l = b + 14; r = m + 9; q = x + 7; n = j + 13; d = j + 13; u = d + 1; e = q + 11; x = a + 8; b = r + 2. If j = 8, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"i": "v + 15", "j": "i + 6", "e": "j + 17", "a": "e + 10", "c": "a + 14", "n": "c + 5", "u": "v + 7", "g": "u + 20", "m": "g + 6", "q": "m + 3", "f": "q + 14", "h": "f + 14", "v": 1}, "premises": {"v": 1}, "target": "n"}, "answer": {"steps": [["c", "a + 14", "a + 19"], ["a", "e + 10", "e + 29"], ["e", "j + 17", "j + 46"], ["j", "i + 6", "i + 52"], ["i", "v + 15", "v + 67"], ["v", 1, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"v": 1}, "is_reverse": true}}
| 23,523
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = j + 17; g = u + 20; q = m + 3; i = v + 15; j = i + 6; u = v + 7; h = f + 14; v = 1; m = g + 6; a = e + 10; n = c + 5; c = a + 14; f = q + 14. If v = 1, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 14 to n, which gives n = a + 19.\n2. Substitute a = e + 10 to n, which gives n = e + 29.\n3. Substitute e = j + 17 to n, which gives n = j + 46.\n4. Substitute j = i + 6 to n, which gives n = i + 52.\n5. Substitute i = v + 15 to n, which gives n = v + 67.\n6. Substitute v = 1 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 23523,
"question": "Consider a system of variables where each variable is defined as follows: e = j + 17; g = u + 20; q = m + 3; i = v + 15; j = i + 6; u = v + 7; h = f + 14; v = 1; m = g + 6; a = e + 10; n = c + 5; c = a + 14; f = q + 14. If v = 1, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"k": "j + 7", "c": "k + 9", "w": "c + 15", "p": "w + 16", "s": "p + 2", "f": "s + 14", "d": "j + 10", "h": "d + 10", "x": "h + 13", "z": "x + 15", "l": "z + 15", "m": "l + 15", "j": 5}, "premises": {"j": 5}, "target": "f"}, "answer": {"steps": [["s", "p + 2", "p + 16"], ["p", "w + 16", "w + 32"], ["w", "c + 15", "c + 47"], ["c", "k + 9", "k + 56"], ["k", "j + 7", "j + 63"], ["j", 5, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"j": 5}, "is_reverse": true}}
| 23,524
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = p + 2; x = h + 13; l = z + 15; c = k + 9; w = c + 15; z = x + 15; h = d + 10; d = j + 10; j = 5; f = s + 14; p = w + 16; m = l + 15; k = j + 7. If j = 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 s = p + 2 to f, which gives f = p + 16.\n2. Substitute p = w + 16 to f, which gives f = w + 32.\n3. Substitute w = c + 15 to f, which gives f = c + 47.\n4. Substitute c = k + 9 to f, which gives f = k + 56.\n5. Substitute k = j + 7 to f, which gives f = j + 63.\n6. Substitute j = 5 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 23524,
"question": "Consider a system of variables where each variable is defined as follows: s = p + 2; x = h + 13; l = z + 15; c = k + 9; w = c + 15; z = x + 15; h = d + 10; d = j + 10; j = 5; f = s + 14; p = w + 16; m = l + 15; k = j + 7. If j = 5, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"c": "d + 13", "b": "c + 11", "v": "b + 17", "z": "v + 6", "r": "z + 10", "k": "r + 18", "t": "d + 1", "w": "t + 7", "j": "w + 13", "i": "j + 2", "p": "i + 18", "m": "p + 19", "d": 10}, "premises": {"d": 10}, "target": "k"}, "answer": {"steps": [["r", "z + 10", "z + 28"], ["z", "v + 6", "v + 34"], ["v", "b + 17", "b + 51"], ["b", "c + 11", "c + 62"], ["c", "d + 13", "d + 75"], ["d", 10, "85"]], "target_var_name": "k", "target_value": 85, "value_dict": {"d": 10}, "is_reverse": true}}
| 23,525
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = w + 13; w = t + 7; d = 10; m = p + 19; v = b + 17; t = d + 1; i = j + 2; z = v + 6; b = c + 11; c = d + 13; r = z + 10; p = i + 18; k = r + 18. If d = 10, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 10 to k, which gives k = z + 28.\n2. Substitute z = v + 6 to k, which gives k = v + 34.\n3. Substitute v = b + 17 to k, which gives k = b + 51.\n4. Substitute b = c + 11 to k, which gives k = c + 62.\n5. Substitute c = d + 13 to k, which gives k = d + 75.\n6. Substitute d = 10 to k, which gives k = 85.\n\nThus, the final answer is k = \\boxed{85}.",
"index": 23525,
"question": "Consider a system of variables where each variable is defined as follows: j = w + 13; w = t + 7; d = 10; m = p + 19; v = b + 17; t = d + 1; i = j + 2; z = v + 6; b = c + 11; c = d + 13; r = z + 10; p = i + 18; k = r + 18. If d = 10, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"o": "p + 17", "t": "o + 13", "k": "t + 12", "i": "k + 6", "f": "i + 5", "g": "f + 12", "h": "p + 16", "w": "h + 8", "v": "w + 5", "l": "v + 9", "m": "l + 15", "b": "m + 15", "p": 4}, "premises": {"p": 4}, "target": "g"}, "answer": {"steps": [["f", "i + 5", "i + 17"], ["i", "k + 6", "k + 23"], ["k", "t + 12", "t + 35"], ["t", "o + 13", "o + 48"], ["o", "p + 17", "p + 65"], ["p", 4, "69"]], "target_var_name": "g", "target_value": 69, "value_dict": {"p": 4}, "is_reverse": true}}
| 23,526
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 6; t = o + 13; k = t + 12; f = i + 5; w = h + 8; o = p + 17; g = f + 12; b = m + 15; v = w + 5; l = v + 9; m = l + 15; h = p + 16; p = 4. If p = 4, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 5 to g, which gives g = i + 17.\n2. Substitute i = k + 6 to g, which gives g = k + 23.\n3. Substitute k = t + 12 to g, which gives g = t + 35.\n4. Substitute t = o + 13 to g, which gives g = o + 48.\n5. Substitute o = p + 17 to g, which gives g = p + 65.\n6. Substitute p = 4 to g, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 23526,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 6; t = o + 13; k = t + 12; f = i + 5; w = h + 8; o = p + 17; g = f + 12; b = m + 15; v = w + 5; l = v + 9; m = l + 15; h = p + 16; p = 4. If p = 4, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"o": "m + 9", "j": "o + 15", "c": "j + 19", "z": "c + 5", "h": "z + 11", "b": "h + 13", "v": "m + 18", "p": "v + 7", "n": "p + 9", "k": "n + 10", "g": "k + 14", "i": "g + 17", "m": 16}, "premises": {"m": 16}, "target": "b"}, "answer": {"steps": [["h", "z + 11", "z + 24"], ["z", "c + 5", "c + 29"], ["c", "j + 19", "j + 48"], ["j", "o + 15", "o + 63"], ["o", "m + 9", "m + 72"], ["m", 16, "88"]], "target_var_name": "b", "target_value": 88, "value_dict": {"m": 16}, "is_reverse": true}}
| 23,527
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = m + 9; m = 16; v = m + 18; i = g + 17; c = j + 19; h = z + 11; z = c + 5; g = k + 14; p = v + 7; j = o + 15; b = h + 13; n = p + 9; k = n + 10. If m = 16, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 11 to b, which gives b = z + 24.\n2. Substitute z = c + 5 to b, which gives b = c + 29.\n3. Substitute c = j + 19 to b, which gives b = j + 48.\n4. Substitute j = o + 15 to b, which gives b = o + 63.\n5. Substitute o = m + 9 to b, which gives b = m + 72.\n6. Substitute m = 16 to b, which gives b = 88.\n\nThus, the final answer is b = \\boxed{88}.",
"index": 23527,
"question": "Consider a system of variables where each variable is defined as follows: o = m + 9; m = 16; v = m + 18; i = g + 17; c = j + 19; h = z + 11; z = c + 5; g = k + 14; p = v + 7; j = o + 15; b = h + 13; n = p + 9; k = n + 10. If m = 16, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"h": "b + 6", "q": "h + 1", "p": "q + 4", "z": "p + 8", "e": "z + 16", "l": "e + 14", "c": "b + 5", "u": "c + 2", "f": "u + 9", "r": "f + 19", "m": "r + 1", "y": "m + 1", "b": 14}, "premises": {"b": 14}, "target": "l"}, "answer": {"steps": [["e", "z + 16", "z + 30"], ["z", "p + 8", "p + 38"], ["p", "q + 4", "q + 42"], ["q", "h + 1", "h + 43"], ["h", "b + 6", "b + 49"], ["b", 14, "63"]], "target_var_name": "l", "target_value": 63, "value_dict": {"b": 14}, "is_reverse": true}}
| 23,528
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = m + 1; e = z + 16; r = f + 19; b = 14; u = c + 2; l = e + 14; f = u + 9; c = b + 5; z = p + 8; h = b + 6; p = q + 4; m = r + 1; q = h + 1. If b = 14, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 16 to l, which gives l = z + 30.\n2. Substitute z = p + 8 to l, which gives l = p + 38.\n3. Substitute p = q + 4 to l, which gives l = q + 42.\n4. Substitute q = h + 1 to l, which gives l = h + 43.\n5. Substitute h = b + 6 to l, which gives l = b + 49.\n6. Substitute b = 14 to l, which gives l = 63.\n\nThus, the final answer is l = \\boxed{63}.",
"index": 23528,
"question": "Consider a system of variables where each variable is defined as follows: y = m + 1; e = z + 16; r = f + 19; b = 14; u = c + 2; l = e + 14; f = u + 9; c = b + 5; z = p + 8; h = b + 6; p = q + 4; m = r + 1; q = h + 1. If b = 14, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"p": "m + 8", "j": "p + 15", "y": "j + 16", "q": "y + 13", "l": "q + 6", "c": "l + 5", "v": "m + 9", "o": "v + 12", "w": "o + 6", "h": "w + 20", "i": "h + 18", "n": "i + 3", "m": 11}, "premises": {"m": 11}, "target": "c"}, "answer": {"steps": [["l", "q + 6", "q + 11"], ["q", "y + 13", "y + 24"], ["y", "j + 16", "j + 40"], ["j", "p + 15", "p + 55"], ["p", "m + 8", "m + 63"], ["m", 11, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"m": 11}, "is_reverse": true}}
| 23,529
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = o + 6; q = y + 13; y = j + 16; l = q + 6; p = m + 8; c = l + 5; m = 11; v = m + 9; i = h + 18; n = i + 3; h = w + 20; j = p + 15; o = v + 12. If m = 11, what is the resulting 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 l = q + 6 to c, which gives c = q + 11.\n2. Substitute q = y + 13 to c, which gives c = y + 24.\n3. Substitute y = j + 16 to c, which gives c = j + 40.\n4. Substitute j = p + 15 to c, which gives c = p + 55.\n5. Substitute p = m + 8 to c, which gives c = m + 63.\n6. Substitute m = 11 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 23529,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = o + 6; q = y + 13; y = j + 16; l = q + 6; p = m + 8; c = l + 5; m = 11; v = m + 9; i = h + 18; n = i + 3; h = w + 20; j = p + 15; o = v + 12. If m = 11, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"a": "o + 16", "n": "a + 15", "t": "n + 14", "r": "t + 8", "f": "r + 19", "b": "f + 1", "p": "o + 14", "l": "p + 7", "d": "l + 9", "i": "d + 7", "j": "i + 20", "e": "j + 9", "o": 3}, "premises": {"o": 3}, "target": "b"}, "answer": {"steps": [["f", "r + 19", "r + 20"], ["r", "t + 8", "t + 28"], ["t", "n + 14", "n + 42"], ["n", "a + 15", "a + 57"], ["a", "o + 16", "o + 73"], ["o", 3, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"o": 3}, "is_reverse": true}}
| 23,530
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 20; r = t + 8; b = f + 1; o = 3; e = j + 9; d = l + 9; t = n + 14; a = o + 16; p = o + 14; f = r + 19; i = d + 7; n = a + 15; l = p + 7. If o = 3, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 19 to b, which gives b = r + 20.\n2. Substitute r = t + 8 to b, which gives b = t + 28.\n3. Substitute t = n + 14 to b, which gives b = n + 42.\n4. Substitute n = a + 15 to b, which gives b = a + 57.\n5. Substitute a = o + 16 to b, which gives b = o + 73.\n6. Substitute o = 3 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 23530,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 20; r = t + 8; b = f + 1; o = 3; e = j + 9; d = l + 9; t = n + 14; a = o + 16; p = o + 14; f = r + 19; i = d + 7; n = a + 15; l = p + 7. If o = 3, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"q": "t + 6", "j": "q + 13", "x": "j + 8", "s": "x + 2", "e": "s + 11", "h": "e + 11", "b": "t + 17", "r": "b + 6", "v": "r + 1", "c": "v + 9", "u": "c + 19", "n": "u + 11", "t": 4}, "premises": {"t": 4}, "target": "h"}, "answer": {"steps": [["e", "s + 11", "s + 22"], ["s", "x + 2", "x + 24"], ["x", "j + 8", "j + 32"], ["j", "q + 13", "q + 45"], ["q", "t + 6", "t + 51"], ["t", 4, "55"]], "target_var_name": "h", "target_value": 55, "value_dict": {"t": 4}, "is_reverse": true}}
| 23,531
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = 4; c = v + 9; s = x + 2; h = e + 11; n = u + 11; j = q + 13; v = r + 1; b = t + 17; q = t + 6; u = c + 19; e = s + 11; x = j + 8; r = b + 6. If t = 4, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 11 to h, which gives h = s + 22.\n2. Substitute s = x + 2 to h, which gives h = x + 24.\n3. Substitute x = j + 8 to h, which gives h = j + 32.\n4. Substitute j = q + 13 to h, which gives h = q + 45.\n5. Substitute q = t + 6 to h, which gives h = t + 51.\n6. Substitute t = 4 to h, which gives h = 55.\n\nThus, the final answer is h = \\boxed{55}.",
"index": 23531,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = 4; c = v + 9; s = x + 2; h = e + 11; n = u + 11; j = q + 13; v = r + 1; b = t + 17; q = t + 6; u = c + 19; e = s + 11; x = j + 8; r = b + 6. If t = 4, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"e": "m + 11", "o": "e + 15", "d": "o + 6", "x": "d + 9", "y": "x + 3", "q": "y + 15", "h": "m + 7", "k": "h + 17", "t": "k + 11", "z": "t + 6", "i": "z + 18", "b": "i + 17", "m": 19}, "premises": {"m": 19}, "target": "q"}, "answer": {"steps": [["y", "x + 3", "x + 18"], ["x", "d + 9", "d + 27"], ["d", "o + 6", "o + 33"], ["o", "e + 15", "e + 48"], ["e", "m + 11", "m + 59"], ["m", 19, "78"]], "target_var_name": "q", "target_value": 78, "value_dict": {"m": 19}, "is_reverse": true}}
| 23,532
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 3; b = i + 17; k = h + 17; t = k + 11; i = z + 18; m = 19; q = y + 15; e = m + 11; h = m + 7; z = t + 6; d = o + 6; o = e + 15; x = d + 9. If m = 19, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 3 to q, which gives q = x + 18.\n2. Substitute x = d + 9 to q, which gives q = d + 27.\n3. Substitute d = o + 6 to q, which gives q = o + 33.\n4. Substitute o = e + 15 to q, which gives q = e + 48.\n5. Substitute e = m + 11 to q, which gives q = m + 59.\n6. Substitute m = 19 to q, which gives q = 78.\n\nThus, the final answer is q = \\boxed{78}.",
"index": 23532,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 3; b = i + 17; k = h + 17; t = k + 11; i = z + 18; m = 19; q = y + 15; e = m + 11; h = m + 7; z = t + 6; d = o + 6; o = e + 15; x = d + 9. If m = 19, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"v": "q + 11", "s": "v + 8", "n": "s + 19", "w": "n + 18", "u": "w + 14", "d": "u + 12", "z": "q + 10", "k": "z + 14", "p": "k + 4", "e": "p + 5", "y": "e + 10", "x": "y + 16", "q": 9}, "premises": {"q": 9}, "target": "d"}, "answer": {"steps": [["u", "w + 14", "w + 26"], ["w", "n + 18", "n + 44"], ["n", "s + 19", "s + 63"], ["s", "v + 8", "v + 71"], ["v", "q + 11", "q + 82"], ["q", 9, "91"]], "target_var_name": "d", "target_value": 91, "value_dict": {"q": 9}, "is_reverse": true}}
| 23,533
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = y + 16; q = 9; p = k + 4; s = v + 8; n = s + 19; w = n + 18; z = q + 10; u = w + 14; d = u + 12; k = z + 14; y = e + 10; v = q + 11; e = p + 5. If q = 9, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 14 to d, which gives d = w + 26.\n2. Substitute w = n + 18 to d, which gives d = n + 44.\n3. Substitute n = s + 19 to d, which gives d = s + 63.\n4. Substitute s = v + 8 to d, which gives d = v + 71.\n5. Substitute v = q + 11 to d, which gives d = q + 82.\n6. Substitute q = 9 to d, which gives d = 91.\n\nThus, the final answer is d = \\boxed{91}.",
"index": 23533,
"question": "Consider a system of variables where each variable is defined as follows: x = y + 16; q = 9; p = k + 4; s = v + 8; n = s + 19; w = n + 18; z = q + 10; u = w + 14; d = u + 12; k = z + 14; y = e + 10; v = q + 11; e = p + 5. If q = 9, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"k": "s + 15", "u": "k + 5", "t": "u + 14", "c": "t + 15", "z": "c + 19", "v": "z + 11", "b": "s + 18", "w": "b + 19", "o": "w + 3", "g": "o + 18", "m": "g + 2", "x": "m + 15", "s": 6}, "premises": {"s": 6}, "target": "v"}, "answer": {"steps": [["z", "c + 19", "c + 30"], ["c", "t + 15", "t + 45"], ["t", "u + 14", "u + 59"], ["u", "k + 5", "k + 64"], ["k", "s + 15", "s + 79"], ["s", 6, "85"]], "target_var_name": "v", "target_value": 85, "value_dict": {"s": 6}, "is_reverse": true}}
| 23,534
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 5; o = w + 3; v = z + 11; g = o + 18; s = 6; c = t + 15; z = c + 19; x = m + 15; b = s + 18; k = s + 15; m = g + 2; w = b + 19; t = u + 14. If s = 6, what is the resulting 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. Substitute z = c + 19 to v, which gives v = c + 30.\n2. Substitute c = t + 15 to v, which gives v = t + 45.\n3. Substitute t = u + 14 to v, which gives v = u + 59.\n4. Substitute u = k + 5 to v, which gives v = k + 64.\n5. Substitute k = s + 15 to v, which gives v = s + 79.\n6. Substitute s = 6 to v, which gives v = 85.\n\nThus, the final answer is v = \\boxed{85}.",
"index": 23534,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 5; o = w + 3; v = z + 11; g = o + 18; s = 6; c = t + 15; z = c + 19; x = m + 15; b = s + 18; k = s + 15; m = g + 2; w = b + 19; t = u + 14. If s = 6, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"m": "g + 12", "a": "m + 12", "u": "a + 1", "x": "u + 13", "z": "x + 11", "p": "z + 4", "v": "g + 2", "i": "v + 7", "q": "i + 14", "h": "q + 20", "b": "h + 16", "k": "b + 5", "g": 10}, "premises": {"g": 10}, "target": "p"}, "answer": {"steps": [["z", "x + 11", "x + 15"], ["x", "u + 13", "u + 28"], ["u", "a + 1", "a + 29"], ["a", "m + 12", "m + 41"], ["m", "g + 12", "g + 53"], ["g", 10, "63"]], "target_var_name": "p", "target_value": 63, "value_dict": {"g": 10}, "is_reverse": true}}
| 23,535
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = m + 12; x = u + 13; m = g + 12; k = b + 5; p = z + 4; u = a + 1; h = q + 20; z = x + 11; g = 10; q = i + 14; v = g + 2; b = h + 16; i = v + 7. If g = 10, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 11 to p, which gives p = x + 15.\n2. Substitute x = u + 13 to p, which gives p = u + 28.\n3. Substitute u = a + 1 to p, which gives p = a + 29.\n4. Substitute a = m + 12 to p, which gives p = m + 41.\n5. Substitute m = g + 12 to p, which gives p = g + 53.\n6. Substitute g = 10 to p, which gives p = 63.\n\nThus, the final answer is p = \\boxed{63}.",
"index": 23535,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = m + 12; x = u + 13; m = g + 12; k = b + 5; p = z + 4; u = a + 1; h = q + 20; z = x + 11; g = 10; q = i + 14; v = g + 2; b = h + 16; i = v + 7. If g = 10, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"e": "g + 19", "h": "e + 8", "p": "h + 20", "a": "p + 14", "b": "a + 17", "l": "b + 11", "d": "g + 2", "i": "d + 15", "n": "i + 11", "f": "n + 8", "r": "f + 6", "m": "r + 2", "g": 10}, "premises": {"g": 10}, "target": "l"}, "answer": {"steps": [["b", "a + 17", "a + 28"], ["a", "p + 14", "p + 42"], ["p", "h + 20", "h + 62"], ["h", "e + 8", "e + 70"], ["e", "g + 19", "g + 89"], ["g", 10, "99"]], "target_var_name": "l", "target_value": 99, "value_dict": {"g": 10}, "is_reverse": true}}
| 23,536
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = r + 2; d = g + 2; h = e + 8; a = p + 14; r = f + 6; f = n + 8; p = h + 20; n = i + 11; b = a + 17; e = g + 19; g = 10; l = b + 11; i = d + 15. If g = 10, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 17 to l, which gives l = a + 28.\n2. Substitute a = p + 14 to l, which gives l = p + 42.\n3. Substitute p = h + 20 to l, which gives l = h + 62.\n4. Substitute h = e + 8 to l, which gives l = e + 70.\n5. Substitute e = g + 19 to l, which gives l = g + 89.\n6. Substitute g = 10 to l, which gives l = 99.\n\nThus, the final answer is l = \\boxed{99}.",
"index": 23536,
"question": "Consider a system of variables where each variable is defined as follows: m = r + 2; d = g + 2; h = e + 8; a = p + 14; r = f + 6; f = n + 8; p = h + 20; n = i + 11; b = a + 17; e = g + 19; g = 10; l = b + 11; i = d + 15. If g = 10, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"a": "d + 8", "g": "a + 18", "q": "g + 15", "i": "q + 1", "r": "i + 11", "y": "r + 2", "u": "d + 10", "n": "u + 8", "h": "n + 3", "e": "h + 9", "k": "e + 9", "c": "k + 14", "d": 8}, "premises": {"d": 8}, "target": "y"}, "answer": {"steps": [["r", "i + 11", "i + 13"], ["i", "q + 1", "q + 14"], ["q", "g + 15", "g + 29"], ["g", "a + 18", "a + 47"], ["a", "d + 8", "d + 55"], ["d", 8, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"d": 8}, "is_reverse": true}}
| 23,537
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = d + 10; y = r + 2; r = i + 11; n = u + 8; i = q + 1; e = h + 9; g = a + 18; c = k + 14; a = d + 8; q = g + 15; h = n + 3; d = 8; k = e + 9. If d = 8, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 11 to y, which gives y = i + 13.\n2. Substitute i = q + 1 to y, which gives y = q + 14.\n3. Substitute q = g + 15 to y, which gives y = g + 29.\n4. Substitute g = a + 18 to y, which gives y = a + 47.\n5. Substitute a = d + 8 to y, which gives y = d + 55.\n6. Substitute d = 8 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 23537,
"question": "Consider a system of variables where each variable is defined as follows: u = d + 10; y = r + 2; r = i + 11; n = u + 8; i = q + 1; e = h + 9; g = a + 18; c = k + 14; a = d + 8; q = g + 15; h = n + 3; d = 8; k = e + 9. If d = 8, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"u": "h + 20", "j": "u + 8", "i": "j + 16", "b": "i + 8", "y": "b + 10", "v": "y + 16", "o": "h + 3", "k": "o + 8", "e": "k + 14", "m": "e + 4", "s": "m + 4", "g": "s + 12", "h": 17}, "premises": {"h": 17}, "target": "v"}, "answer": {"steps": [["y", "b + 10", "b + 26"], ["b", "i + 8", "i + 34"], ["i", "j + 16", "j + 50"], ["j", "u + 8", "u + 58"], ["u", "h + 20", "h + 78"], ["h", 17, "95"]], "target_var_name": "v", "target_value": 95, "value_dict": {"h": 17}, "is_reverse": true}}
| 23,538
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = b + 10; b = i + 8; j = u + 8; i = j + 16; k = o + 8; e = k + 14; s = m + 4; m = e + 4; v = y + 16; h = 17; g = s + 12; u = h + 20; o = h + 3. Given that h = 17, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 10 to v, which gives v = b + 26.\n2. Substitute b = i + 8 to v, which gives v = i + 34.\n3. Substitute i = j + 16 to v, which gives v = j + 50.\n4. Substitute j = u + 8 to v, which gives v = u + 58.\n5. Substitute u = h + 20 to v, which gives v = h + 78.\n6. Substitute h = 17 to v, which gives v = 95.\n\nThus, the final answer is v = \\boxed{95}.",
"index": 23538,
"question": "Suppose a collection of variables is related by the following definitions: y = b + 10; b = i + 8; j = u + 8; i = j + 16; k = o + 8; e = k + 14; s = m + 4; m = e + 4; v = y + 16; h = 17; g = s + 12; u = h + 20; o = h + 3. Given that h = 17, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"f": "k + 15", "c": "f + 6", "o": "c + 11", "j": "o + 14", "v": "j + 6", "u": "v + 13", "r": "k + 13", "n": "r + 4", "p": "n + 12", "i": "p + 5", "y": "i + 12", "z": "y + 14", "k": 4}, "premises": {"k": 4}, "target": "u"}, "answer": {"steps": [["v", "j + 6", "j + 19"], ["j", "o + 14", "o + 33"], ["o", "c + 11", "c + 44"], ["c", "f + 6", "f + 50"], ["f", "k + 15", "k + 65"], ["k", 4, "69"]], "target_var_name": "u", "target_value": 69, "value_dict": {"k": 4}, "is_reverse": true}}
| 23,539
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = v + 13; j = o + 14; n = r + 4; v = j + 6; o = c + 11; c = f + 6; z = y + 14; f = k + 15; i = p + 5; p = n + 12; y = i + 12; k = 4; r = k + 13. Given that k = 4, 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 v = j + 6 to u, which gives u = j + 19.\n2. Substitute j = o + 14 to u, which gives u = o + 33.\n3. Substitute o = c + 11 to u, which gives u = c + 44.\n4. Substitute c = f + 6 to u, which gives u = f + 50.\n5. Substitute f = k + 15 to u, which gives u = k + 65.\n6. Substitute k = 4 to u, which gives u = 69.\n\nThus, the final answer is u = \\boxed{69}.",
"index": 23539,
"question": "Suppose a collection of variables is related by the following definitions: u = v + 13; j = o + 14; n = r + 4; v = j + 6; o = c + 11; c = f + 6; z = y + 14; f = k + 15; i = p + 5; p = n + 12; y = i + 12; k = 4; r = k + 13. Given that k = 4, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"l": "m + 17", "k": "l + 9", "o": "k + 8", "t": "o + 7", "z": "t + 13", "y": "z + 20", "d": "m + 3", "a": "d + 8", "j": "a + 3", "q": "j + 2", "x": "q + 9", "v": "x + 12", "m": 15}, "premises": {"m": 15}, "target": "y"}, "answer": {"steps": [["z", "t + 13", "t + 33"], ["t", "o + 7", "o + 40"], ["o", "k + 8", "k + 48"], ["k", "l + 9", "l + 57"], ["l", "m + 17", "m + 74"], ["m", 15, "89"]], "target_var_name": "y", "target_value": 89, "value_dict": {"m": 15}, "is_reverse": true}}
| 23,540
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = m + 3; x = q + 9; k = l + 9; m = 15; t = o + 7; a = d + 8; q = j + 2; l = m + 17; v = x + 12; j = a + 3; o = k + 8; y = z + 20; z = t + 13. If m = 15, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 13 to y, which gives y = t + 33.\n2. Substitute t = o + 7 to y, which gives y = o + 40.\n3. Substitute o = k + 8 to y, which gives y = k + 48.\n4. Substitute k = l + 9 to y, which gives y = l + 57.\n5. Substitute l = m + 17 to y, which gives y = m + 74.\n6. Substitute m = 15 to y, which gives y = 89.\n\nThus, the final answer is y = \\boxed{89}.",
"index": 23540,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = m + 3; x = q + 9; k = l + 9; m = 15; t = o + 7; a = d + 8; q = j + 2; l = m + 17; v = x + 12; j = a + 3; o = k + 8; y = z + 20; z = t + 13. If m = 15, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"y": "d + 15", "t": "y + 13", "m": "t + 5", "l": "m + 14", "i": "l + 16", "o": "i + 4", "e": "d + 13", "g": "e + 11", "j": "g + 19", "b": "j + 7", "c": "b + 7", "r": "c + 19", "d": 2}, "premises": {"d": 2}, "target": "o"}, "answer": {"steps": [["i", "l + 16", "l + 20"], ["l", "m + 14", "m + 34"], ["m", "t + 5", "t + 39"], ["t", "y + 13", "y + 52"], ["y", "d + 15", "d + 67"], ["d", 2, "69"]], "target_var_name": "o", "target_value": 69, "value_dict": {"d": 2}, "is_reverse": true}}
| 23,541
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 7; d = 2; l = m + 14; j = g + 19; y = d + 15; b = j + 7; o = i + 4; t = y + 13; r = c + 19; e = d + 13; g = e + 11; m = t + 5; i = l + 16. If d = 2, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 16 to o, which gives o = l + 20.\n2. Substitute l = m + 14 to o, which gives o = m + 34.\n3. Substitute m = t + 5 to o, which gives o = t + 39.\n4. Substitute t = y + 13 to o, which gives o = y + 52.\n5. Substitute y = d + 15 to o, which gives o = d + 67.\n6. Substitute d = 2 to o, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 23541,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 7; d = 2; l = m + 14; j = g + 19; y = d + 15; b = j + 7; o = i + 4; t = y + 13; r = c + 19; e = d + 13; g = e + 11; m = t + 5; i = l + 16. If d = 2, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 15", "d": "q + 18", "c": "d + 12", "b": "c + 2", "l": "b + 5", "s": "l + 20", "y": "i + 19", "o": "y + 3", "v": "o + 7", "h": "v + 5", "z": "h + 18", "e": "z + 7", "i": 19}, "premises": {"i": 19}, "target": "s"}, "answer": {"steps": [["l", "b + 5", "b + 25"], ["b", "c + 2", "c + 27"], ["c", "d + 12", "d + 39"], ["d", "q + 18", "q + 57"], ["q", "i + 15", "i + 72"], ["i", 19, "91"]], "target_var_name": "s", "target_value": 91, "value_dict": {"i": 19}, "is_reverse": true}}
| 23,542
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = h + 18; v = o + 7; c = d + 12; h = v + 5; q = i + 15; s = l + 20; e = z + 7; y = i + 19; l = b + 5; d = q + 18; b = c + 2; i = 19; o = y + 3. Given that i = 19, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 5 to s, which gives s = b + 25.\n2. Substitute b = c + 2 to s, which gives s = c + 27.\n3. Substitute c = d + 12 to s, which gives s = d + 39.\n4. Substitute d = q + 18 to s, which gives s = q + 57.\n5. Substitute q = i + 15 to s, which gives s = i + 72.\n6. Substitute i = 19 to s, which gives s = 91.\n\nThus, the final answer is s = \\boxed{91}.",
"index": 23542,
"question": "Suppose a collection of variables is related by the following definitions: z = h + 18; v = o + 7; c = d + 12; h = v + 5; q = i + 15; s = l + 20; e = z + 7; y = i + 19; l = b + 5; d = q + 18; b = c + 2; i = 19; o = y + 3. Given that i = 19, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"m": "r + 10", "i": "m + 12", "v": "i + 4", "o": "v + 20", "z": "o + 6", "x": "z + 19", "p": "r + 4", "c": "p + 9", "k": "c + 11", "u": "k + 1", "n": "u + 10", "f": "n + 6", "r": 15}, "premises": {"r": 15}, "target": "x"}, "answer": {"steps": [["z", "o + 6", "o + 25"], ["o", "v + 20", "v + 45"], ["v", "i + 4", "i + 49"], ["i", "m + 12", "m + 61"], ["m", "r + 10", "r + 71"], ["r", 15, "86"]], "target_var_name": "x", "target_value": 86, "value_dict": {"r": 15}, "is_reverse": true}}
| 23,543
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = v + 20; x = z + 19; p = r + 4; m = r + 10; i = m + 12; u = k + 1; v = i + 4; c = p + 9; n = u + 10; k = c + 11; r = 15; z = o + 6; f = n + 6. Given that r = 15, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 6 to x, which gives x = o + 25.\n2. Substitute o = v + 20 to x, which gives x = v + 45.\n3. Substitute v = i + 4 to x, which gives x = i + 49.\n4. Substitute i = m + 12 to x, which gives x = m + 61.\n5. Substitute m = r + 10 to x, which gives x = r + 71.\n6. Substitute r = 15 to x, which gives x = 86.\n\nThus, the final answer is x = \\boxed{86}.",
"index": 23543,
"question": "Suppose a collection of variables is related by the following definitions: o = v + 20; x = z + 19; p = r + 4; m = r + 10; i = m + 12; u = k + 1; v = i + 4; c = p + 9; n = u + 10; k = c + 11; r = 15; z = o + 6; f = n + 6. Given that r = 15, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"x": "b + 11", "l": "x + 10", "r": "l + 10", "z": "r + 8", "f": "z + 18", "o": "f + 10", "e": "b + 13", "g": "e + 11", "n": "g + 10", "s": "n + 8", "p": "s + 7", "j": "p + 3", "b": 10}, "premises": {"b": 10}, "target": "o"}, "answer": {"steps": [["f", "z + 18", "z + 28"], ["z", "r + 8", "r + 36"], ["r", "l + 10", "l + 46"], ["l", "x + 10", "x + 56"], ["x", "b + 11", "b + 67"], ["b", 10, "77"]], "target_var_name": "o", "target_value": 77, "value_dict": {"b": 10}, "is_reverse": true}}
| 23,544
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 8; s = n + 8; g = e + 11; e = b + 13; f = z + 18; p = s + 7; x = b + 11; r = l + 10; l = x + 10; n = g + 10; o = f + 10; b = 10; j = p + 3. If b = 10, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 18 to o, which gives o = z + 28.\n2. Substitute z = r + 8 to o, which gives o = r + 36.\n3. Substitute r = l + 10 to o, which gives o = l + 46.\n4. Substitute l = x + 10 to o, which gives o = x + 56.\n5. Substitute x = b + 11 to o, which gives o = b + 67.\n6. Substitute b = 10 to o, which gives o = 77.\n\nThus, the final answer is o = \\boxed{77}.",
"index": 23544,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 8; s = n + 8; g = e + 11; e = b + 13; f = z + 18; p = s + 7; x = b + 11; r = l + 10; l = x + 10; n = g + 10; o = f + 10; b = 10; j = p + 3. If b = 10, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"v": "s + 11", "n": "v + 2", "p": "n + 3", "c": "p + 5", "m": "c + 16", "u": "m + 9", "t": "s + 14", "l": "t + 15", "x": "l + 7", "o": "x + 14", "y": "o + 20", "w": "y + 1", "s": 2}, "premises": {"s": 2}, "target": "u"}, "answer": {"steps": [["m", "c + 16", "c + 25"], ["c", "p + 5", "p + 30"], ["p", "n + 3", "n + 33"], ["n", "v + 2", "v + 35"], ["v", "s + 11", "s + 46"], ["s", 2, "48"]], "target_var_name": "u", "target_value": 48, "value_dict": {"s": 2}, "is_reverse": true}}
| 23,545
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = m + 9; c = p + 5; w = y + 1; t = s + 14; s = 2; o = x + 14; p = n + 3; n = v + 2; m = c + 16; x = l + 7; v = s + 11; l = t + 15; y = o + 20. If s = 2, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 16 to u, which gives u = c + 25.\n2. Substitute c = p + 5 to u, which gives u = p + 30.\n3. Substitute p = n + 3 to u, which gives u = n + 33.\n4. Substitute n = v + 2 to u, which gives u = v + 35.\n5. Substitute v = s + 11 to u, which gives u = s + 46.\n6. Substitute s = 2 to u, which gives u = 48.\n\nThus, the final answer is u = \\boxed{48}.",
"index": 23545,
"question": "Consider a system of variables where each variable is defined as follows: u = m + 9; c = p + 5; w = y + 1; t = s + 14; s = 2; o = x + 14; p = n + 3; n = v + 2; m = c + 16; x = l + 7; v = s + 11; l = t + 15; y = o + 20. If s = 2, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"i": "r + 16", "k": "i + 7", "s": "k + 9", "n": "s + 13", "f": "n + 8", "p": "f + 17", "l": "r + 2", "b": "l + 11", "x": "b + 12", "q": "x + 8", "e": "q + 8", "g": "e + 14", "r": 7}, "premises": {"r": 7}, "target": "p"}, "answer": {"steps": [["f", "n + 8", "n + 25"], ["n", "s + 13", "s + 38"], ["s", "k + 9", "k + 47"], ["k", "i + 7", "i + 54"], ["i", "r + 16", "r + 70"], ["r", 7, "77"]], "target_var_name": "p", "target_value": 77, "value_dict": {"r": 7}, "is_reverse": true}}
| 23,546
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = r + 16; r = 7; p = f + 17; n = s + 13; f = n + 8; x = b + 12; b = l + 11; k = i + 7; q = x + 8; e = q + 8; g = e + 14; l = r + 2; s = k + 9. Given that r = 7, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 8 to p, which gives p = n + 25.\n2. Substitute n = s + 13 to p, which gives p = s + 38.\n3. Substitute s = k + 9 to p, which gives p = k + 47.\n4. Substitute k = i + 7 to p, which gives p = i + 54.\n5. Substitute i = r + 16 to p, which gives p = r + 70.\n6. Substitute r = 7 to p, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 23546,
"question": "Suppose a collection of variables is related by the following definitions: i = r + 16; r = 7; p = f + 17; n = s + 13; f = n + 8; x = b + 12; b = l + 11; k = i + 7; q = x + 8; e = q + 8; g = e + 14; l = r + 2; s = k + 9. Given that r = 7, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"c": "q + 3", "e": "c + 2", "h": "e + 18", "p": "h + 15", "l": "p + 15", "o": "l + 12", "a": "q + 13", "x": "a + 14", "n": "x + 7", "i": "n + 12", "u": "i + 10", "r": "u + 2", "q": 12}, "premises": {"q": 12}, "target": "o"}, "answer": {"steps": [["l", "p + 15", "p + 27"], ["p", "h + 15", "h + 42"], ["h", "e + 18", "e + 60"], ["e", "c + 2", "c + 62"], ["c", "q + 3", "q + 65"], ["q", 12, "77"]], "target_var_name": "o", "target_value": 77, "value_dict": {"q": 12}, "is_reverse": true}}
| 23,547
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = i + 10; c = q + 3; p = h + 15; n = x + 7; i = n + 12; x = a + 14; a = q + 13; l = p + 15; h = e + 18; q = 12; e = c + 2; r = u + 2; o = l + 12. If q = 12, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 15 to o, which gives o = p + 27.\n2. Substitute p = h + 15 to o, which gives o = h + 42.\n3. Substitute h = e + 18 to o, which gives o = e + 60.\n4. Substitute e = c + 2 to o, which gives o = c + 62.\n5. Substitute c = q + 3 to o, which gives o = q + 65.\n6. Substitute q = 12 to o, which gives o = 77.\n\nThus, the final answer is o = \\boxed{77}.",
"index": 23547,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = i + 10; c = q + 3; p = h + 15; n = x + 7; i = n + 12; x = a + 14; a = q + 13; l = p + 15; h = e + 18; q = 12; e = c + 2; r = u + 2; o = l + 12. If q = 12, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"p": "o + 16", "v": "p + 2", "a": "v + 19", "c": "a + 17", "n": "c + 17", "f": "n + 1", "l": "o + 20", "r": "l + 3", "h": "r + 4", "j": "h + 1", "k": "j + 2", "s": "k + 14", "o": 7}, "premises": {"o": 7}, "target": "f"}, "answer": {"steps": [["n", "c + 17", "c + 18"], ["c", "a + 17", "a + 35"], ["a", "v + 19", "v + 54"], ["v", "p + 2", "p + 56"], ["p", "o + 16", "o + 72"], ["o", 7, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"o": 7}, "is_reverse": true}}
| 23,548
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = 7; v = p + 2; f = n + 1; c = a + 17; l = o + 20; r = l + 3; h = r + 4; p = o + 16; n = c + 17; a = v + 19; j = h + 1; s = k + 14; k = j + 2. If o = 7, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 17 to f, which gives f = c + 18.\n2. Substitute c = a + 17 to f, which gives f = a + 35.\n3. Substitute a = v + 19 to f, which gives f = v + 54.\n4. Substitute v = p + 2 to f, which gives f = p + 56.\n5. Substitute p = o + 16 to f, which gives f = o + 72.\n6. Substitute o = 7 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 23548,
"question": "Consider a system of variables where each variable is defined as follows: o = 7; v = p + 2; f = n + 1; c = a + 17; l = o + 20; r = l + 3; h = r + 4; p = o + 16; n = c + 17; a = v + 19; j = h + 1; s = k + 14; k = j + 2. If o = 7, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"t": "v + 3", "w": "t + 14", "g": "w + 5", "z": "g + 3", "b": "z + 16", "y": "b + 10", "k": "v + 8", "u": "k + 16", "m": "u + 20", "o": "m + 15", "c": "o + 10", "f": "c + 2", "v": 7}, "premises": {"v": 7}, "target": "y"}, "answer": {"steps": [["b", "z + 16", "z + 26"], ["z", "g + 3", "g + 29"], ["g", "w + 5", "w + 34"], ["w", "t + 14", "t + 48"], ["t", "v + 3", "v + 51"], ["v", 7, "58"]], "target_var_name": "y", "target_value": 58, "value_dict": {"v": 7}, "is_reverse": true}}
| 23,549
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = u + 20; b = z + 16; k = v + 8; f = c + 2; y = b + 10; c = o + 10; v = 7; z = g + 3; t = v + 3; u = k + 16; o = m + 15; w = t + 14; g = w + 5. Given that v = 7, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 16 to y, which gives y = z + 26.\n2. Substitute z = g + 3 to y, which gives y = g + 29.\n3. Substitute g = w + 5 to y, which gives y = w + 34.\n4. Substitute w = t + 14 to y, which gives y = t + 48.\n5. Substitute t = v + 3 to y, which gives y = v + 51.\n6. Substitute v = 7 to y, which gives y = 58.\n\nThus, the final answer is y = \\boxed{58}.",
"index": 23549,
"question": "Suppose a collection of variables is related by the following definitions: m = u + 20; b = z + 16; k = v + 8; f = c + 2; y = b + 10; c = o + 10; v = 7; z = g + 3; t = v + 3; u = k + 16; o = m + 15; w = t + 14; g = w + 5. Given that v = 7, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"i": "p + 10", "d": "i + 5", "m": "d + 11", "k": "m + 15", "l": "k + 14", "g": "l + 20", "x": "p + 3", "h": "x + 12", "j": "h + 2", "q": "j + 1", "e": "q + 17", "s": "e + 1", "p": 2}, "premises": {"p": 2}, "target": "g"}, "answer": {"steps": [["l", "k + 14", "k + 34"], ["k", "m + 15", "m + 49"], ["m", "d + 11", "d + 60"], ["d", "i + 5", "i + 65"], ["i", "p + 10", "p + 75"], ["p", 2, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"p": 2}, "is_reverse": true}}
| 23,550
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = j + 1; k = m + 15; g = l + 20; x = p + 3; d = i + 5; l = k + 14; i = p + 10; e = q + 17; j = h + 2; p = 2; h = x + 12; m = d + 11; s = e + 1. If p = 2, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 14 to g, which gives g = k + 34.\n2. Substitute k = m + 15 to g, which gives g = m + 49.\n3. Substitute m = d + 11 to g, which gives g = d + 60.\n4. Substitute d = i + 5 to g, which gives g = i + 65.\n5. Substitute i = p + 10 to g, which gives g = p + 75.\n6. Substitute p = 2 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 23550,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = j + 1; k = m + 15; g = l + 20; x = p + 3; d = i + 5; l = k + 14; i = p + 10; e = q + 17; j = h + 2; p = 2; h = x + 12; m = d + 11; s = e + 1. If p = 2, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"e": "i + 14", "d": "e + 8", "x": "d + 19", "o": "x + 9", "h": "o + 6", "m": "h + 13", "t": "i + 18", "f": "t + 20", "c": "f + 3", "v": "c + 4", "k": "v + 10", "q": "k + 4", "i": 18}, "premises": {"i": 18}, "target": "m"}, "answer": {"steps": [["h", "o + 6", "o + 19"], ["o", "x + 9", "x + 28"], ["x", "d + 19", "d + 47"], ["d", "e + 8", "e + 55"], ["e", "i + 14", "i + 69"], ["i", 18, "87"]], "target_var_name": "m", "target_value": 87, "value_dict": {"i": 18}, "is_reverse": true}}
| 23,551
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 8; t = i + 18; q = k + 4; f = t + 20; i = 18; x = d + 19; v = c + 4; o = x + 9; m = h + 13; c = f + 3; e = i + 14; k = v + 10; h = o + 6. If i = 18, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 6 to m, which gives m = o + 19.\n2. Substitute o = x + 9 to m, which gives m = x + 28.\n3. Substitute x = d + 19 to m, which gives m = d + 47.\n4. Substitute d = e + 8 to m, which gives m = e + 55.\n5. Substitute e = i + 14 to m, which gives m = i + 69.\n6. Substitute i = 18 to m, which gives m = 87.\n\nThus, the final answer is m = \\boxed{87}.",
"index": 23551,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 8; t = i + 18; q = k + 4; f = t + 20; i = 18; x = d + 19; v = c + 4; o = x + 9; m = h + 13; c = f + 3; e = i + 14; k = v + 10; h = o + 6. If i = 18, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 5", "f": "o + 6", "s": "f + 13", "b": "s + 2", "k": "b + 20", "n": "k + 2", "r": "a + 8", "v": "r + 2", "u": "v + 11", "z": "u + 12", "c": "z + 20", "p": "c + 1", "a": 9}, "premises": {"a": 9}, "target": "n"}, "answer": {"steps": [["k", "b + 20", "b + 22"], ["b", "s + 2", "s + 24"], ["s", "f + 13", "f + 37"], ["f", "o + 6", "o + 43"], ["o", "a + 5", "a + 48"], ["a", 9, "57"]], "target_var_name": "n", "target_value": 57, "value_dict": {"a": 9}, "is_reverse": true}}
| 23,552
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = 9; o = a + 5; s = f + 13; b = s + 2; v = r + 2; u = v + 11; p = c + 1; r = a + 8; n = k + 2; c = z + 20; k = b + 20; z = u + 12; f = o + 6. If a = 9, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 20 to n, which gives n = b + 22.\n2. Substitute b = s + 2 to n, which gives n = s + 24.\n3. Substitute s = f + 13 to n, which gives n = f + 37.\n4. Substitute f = o + 6 to n, which gives n = o + 43.\n5. Substitute o = a + 5 to n, which gives n = a + 48.\n6. Substitute a = 9 to n, which gives n = 57.\n\nThus, the final answer is n = \\boxed{57}.",
"index": 23552,
"question": "Consider a system of variables where each variable is defined as follows: a = 9; o = a + 5; s = f + 13; b = s + 2; v = r + 2; u = v + 11; p = c + 1; r = a + 8; n = k + 2; c = z + 20; k = b + 20; z = u + 12; f = o + 6. If a = 9, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"n": "f + 12", "s": "n + 11", "b": "s + 11", "z": "b + 19", "u": "z + 14", "t": "u + 20", "o": "f + 13", "q": "o + 5", "a": "q + 4", "w": "a + 7", "r": "w + 10", "y": "r + 8", "f": 8}, "premises": {"f": 8}, "target": "t"}, "answer": {"steps": [["u", "z + 14", "z + 34"], ["z", "b + 19", "b + 53"], ["b", "s + 11", "s + 64"], ["s", "n + 11", "n + 75"], ["n", "f + 12", "f + 87"], ["f", 8, "95"]], "target_var_name": "t", "target_value": 95, "value_dict": {"f": 8}, "is_reverse": true}}
| 23,553
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = f + 13; q = o + 5; r = w + 10; u = z + 14; s = n + 11; w = a + 7; y = r + 8; z = b + 19; b = s + 11; a = q + 4; n = f + 12; f = 8; t = u + 20. Given that f = 8, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 14 to t, which gives t = z + 34.\n2. Substitute z = b + 19 to t, which gives t = b + 53.\n3. Substitute b = s + 11 to t, which gives t = s + 64.\n4. Substitute s = n + 11 to t, which gives t = n + 75.\n5. Substitute n = f + 12 to t, which gives t = f + 87.\n6. Substitute f = 8 to t, which gives t = 95.\n\nThus, the final answer is t = \\boxed{95}.",
"index": 23553,
"question": "Suppose a collection of variables is related by the following definitions: o = f + 13; q = o + 5; r = w + 10; u = z + 14; s = n + 11; w = a + 7; y = r + 8; z = b + 19; b = s + 11; a = q + 4; n = f + 12; f = 8; t = u + 20. Given that f = 8, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 8", "m": "i + 13", "f": "m + 4", "h": "f + 9", "p": "h + 18", "g": "p + 18", "b": "a + 15", "z": "b + 3", "o": "z + 5", "l": "o + 1", "s": "l + 7", "t": "s + 14", "a": 15}, "premises": {"a": 15}, "target": "g"}, "answer": {"steps": [["p", "h + 18", "h + 36"], ["h", "f + 9", "f + 45"], ["f", "m + 4", "m + 49"], ["m", "i + 13", "i + 62"], ["i", "a + 8", "a + 70"], ["a", 15, "85"]], "target_var_name": "g", "target_value": 85, "value_dict": {"a": 15}, "is_reverse": true}}
| 23,554
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = h + 18; h = f + 9; f = m + 4; b = a + 15; l = o + 1; t = s + 14; o = z + 5; z = b + 3; i = a + 8; s = l + 7; m = i + 13; g = p + 18; a = 15. If a = 15, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 18 to g, which gives g = h + 36.\n2. Substitute h = f + 9 to g, which gives g = f + 45.\n3. Substitute f = m + 4 to g, which gives g = m + 49.\n4. Substitute m = i + 13 to g, which gives g = i + 62.\n5. Substitute i = a + 8 to g, which gives g = a + 70.\n6. Substitute a = 15 to g, which gives g = 85.\n\nThus, the final answer is g = \\boxed{85}.",
"index": 23554,
"question": "Consider a system of variables where each variable is defined as follows: p = h + 18; h = f + 9; f = m + 4; b = a + 15; l = o + 1; t = s + 14; o = z + 5; z = b + 3; i = a + 8; s = l + 7; m = i + 13; g = p + 18; a = 15. If a = 15, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"v": "q + 10", "y": "v + 19", "f": "y + 20", "m": "f + 9", "u": "m + 8", "l": "u + 20", "w": "q + 19", "a": "w + 20", "b": "a + 10", "s": "b + 17", "i": "s + 10", "k": "i + 14", "q": 16}, "premises": {"q": 16}, "target": "l"}, "answer": {"steps": [["u", "m + 8", "m + 28"], ["m", "f + 9", "f + 37"], ["f", "y + 20", "y + 57"], ["y", "v + 19", "v + 76"], ["v", "q + 10", "q + 86"], ["q", 16, "102"]], "target_var_name": "l", "target_value": 102, "value_dict": {"q": 16}, "is_reverse": true}}
| 23,555
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = 16; u = m + 8; k = i + 14; v = q + 10; f = y + 20; y = v + 19; a = w + 20; m = f + 9; w = q + 19; b = a + 10; l = u + 20; s = b + 17; i = s + 10. If q = 16, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 8 to l, which gives l = m + 28.\n2. Substitute m = f + 9 to l, which gives l = f + 37.\n3. Substitute f = y + 20 to l, which gives l = y + 57.\n4. Substitute y = v + 19 to l, which gives l = v + 76.\n5. Substitute v = q + 10 to l, which gives l = q + 86.\n6. Substitute q = 16 to l, which gives l = 102.\n\nThus, the final answer is l = \\boxed{102}.",
"index": 23555,
"question": "Consider a system of variables where each variable is defined as follows: q = 16; u = m + 8; k = i + 14; v = q + 10; f = y + 20; y = v + 19; a = w + 20; m = f + 9; w = q + 19; b = a + 10; l = u + 20; s = b + 17; i = s + 10. If q = 16, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"u": "j + 20", "r": "u + 2", "g": "r + 2", "t": "g + 8", "z": "t + 17", "w": "z + 14", "i": "j + 1", "a": "i + 4", "y": "a + 10", "s": "y + 17", "q": "s + 17", "b": "q + 11", "j": 15}, "premises": {"j": 15}, "target": "w"}, "answer": {"steps": [["z", "t + 17", "t + 31"], ["t", "g + 8", "g + 39"], ["g", "r + 2", "r + 41"], ["r", "u + 2", "u + 43"], ["u", "j + 20", "j + 63"], ["j", 15, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"j": 15}, "is_reverse": true}}
| 23,556
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = j + 20; b = q + 11; q = s + 17; a = i + 4; s = y + 17; y = a + 10; z = t + 17; w = z + 14; t = g + 8; i = j + 1; r = u + 2; g = r + 2; j = 15. Given that j = 15, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 17 to w, which gives w = t + 31.\n2. Substitute t = g + 8 to w, which gives w = g + 39.\n3. Substitute g = r + 2 to w, which gives w = r + 41.\n4. Substitute r = u + 2 to w, which gives w = u + 43.\n5. Substitute u = j + 20 to w, which gives w = j + 63.\n6. Substitute j = 15 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 23556,
"question": "Suppose a collection of variables is related by the following definitions: u = j + 20; b = q + 11; q = s + 17; a = i + 4; s = y + 17; y = a + 10; z = t + 17; w = z + 14; t = g + 8; i = j + 1; r = u + 2; g = r + 2; j = 15. Given that j = 15, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"a": "g + 1", "w": "a + 11", "j": "w + 11", "q": "j + 18", "o": "q + 12", "t": "o + 11", "e": "g + 20", "m": "e + 9", "l": "m + 15", "d": "l + 7", "v": "d + 19", "n": "v + 9", "g": 4}, "premises": {"g": 4}, "target": "t"}, "answer": {"steps": [["o", "q + 12", "q + 23"], ["q", "j + 18", "j + 41"], ["j", "w + 11", "w + 52"], ["w", "a + 11", "a + 63"], ["a", "g + 1", "g + 64"], ["g", 4, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"g": 4}, "is_reverse": true}}
| 23,557
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = g + 1; n = v + 9; j = w + 11; l = m + 15; q = j + 18; m = e + 9; o = q + 12; w = a + 11; e = g + 20; t = o + 11; g = 4; d = l + 7; v = d + 19. Given that g = 4, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 12 to t, which gives t = q + 23.\n2. Substitute q = j + 18 to t, which gives t = j + 41.\n3. Substitute j = w + 11 to t, which gives t = w + 52.\n4. Substitute w = a + 11 to t, which gives t = a + 63.\n5. Substitute a = g + 1 to t, which gives t = g + 64.\n6. Substitute g = 4 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 23557,
"question": "Suppose a collection of variables is related by the following definitions: a = g + 1; n = v + 9; j = w + 11; l = m + 15; q = j + 18; m = e + 9; o = q + 12; w = a + 11; e = g + 20; t = o + 11; g = 4; d = l + 7; v = d + 19. Given that g = 4, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"g": "r + 3", "i": "g + 10", "w": "i + 1", "k": "w + 4", "v": "k + 8", "e": "v + 12", "m": "r + 14", "o": "m + 7", "u": "o + 16", "b": "u + 10", "z": "b + 16", "t": "z + 20", "r": 3}, "premises": {"r": 3}, "target": "e"}, "answer": {"steps": [["v", "k + 8", "k + 20"], ["k", "w + 4", "w + 24"], ["w", "i + 1", "i + 25"], ["i", "g + 10", "g + 35"], ["g", "r + 3", "r + 38"], ["r", 3, "41"]], "target_var_name": "e", "target_value": 41, "value_dict": {"r": 3}, "is_reverse": true}}
| 23,558
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 16; u = o + 16; o = m + 7; e = v + 12; v = k + 8; g = r + 3; b = u + 10; w = i + 1; i = g + 10; t = z + 20; m = r + 14; k = w + 4; r = 3. Given that r = 3, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 41,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 8 to e, which gives e = k + 20.\n2. Substitute k = w + 4 to e, which gives e = w + 24.\n3. Substitute w = i + 1 to e, which gives e = i + 25.\n4. Substitute i = g + 10 to e, which gives e = g + 35.\n5. Substitute g = r + 3 to e, which gives e = r + 38.\n6. Substitute r = 3 to e, which gives e = 41.\n\nThus, the final answer is e = \\boxed{41}.",
"index": 23558,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 16; u = o + 16; o = m + 7; e = v + 12; v = k + 8; g = r + 3; b = u + 10; w = i + 1; i = g + 10; t = z + 20; m = r + 14; k = w + 4; r = 3. Given that r = 3, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"v": "y + 12", "t": "v + 3", "r": "t + 9", "j": "r + 11", "q": "j + 10", "k": "q + 18", "l": "y + 4", "c": "l + 9", "b": "c + 6", "f": "b + 12", "i": "f + 10", "g": "i + 4", "y": 7}, "premises": {"y": 7}, "target": "k"}, "answer": {"steps": [["q", "j + 10", "j + 28"], ["j", "r + 11", "r + 39"], ["r", "t + 9", "t + 48"], ["t", "v + 3", "v + 51"], ["v", "y + 12", "y + 63"], ["y", 7, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"y": 7}, "is_reverse": true}}
| 23,559
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = y + 12; i = f + 10; g = i + 4; j = r + 11; q = j + 10; f = b + 12; k = q + 18; r = t + 9; t = v + 3; y = 7; l = y + 4; b = c + 6; c = l + 9. If y = 7, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 10 to k, which gives k = j + 28.\n2. Substitute j = r + 11 to k, which gives k = r + 39.\n3. Substitute r = t + 9 to k, which gives k = t + 48.\n4. Substitute t = v + 3 to k, which gives k = v + 51.\n5. Substitute v = y + 12 to k, which gives k = y + 63.\n6. Substitute y = 7 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 23559,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = y + 12; i = f + 10; g = i + 4; j = r + 11; q = j + 10; f = b + 12; k = q + 18; r = t + 9; t = v + 3; y = 7; l = y + 4; b = c + 6; c = l + 9. If y = 7, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"n": "a + 2", "f": "n + 1", "b": "f + 12", "t": "b + 1", "z": "t + 16", "g": "z + 5", "m": "a + 2", "o": "m + 20", "v": "o + 4", "i": "v + 20", "y": "i + 15", "e": "y + 11", "a": 6}, "premises": {"a": 6}, "target": "g"}, "answer": {"steps": [["z", "t + 16", "t + 21"], ["t", "b + 1", "b + 22"], ["b", "f + 12", "f + 34"], ["f", "n + 1", "n + 35"], ["n", "a + 2", "a + 37"], ["a", 6, "43"]], "target_var_name": "g", "target_value": 43, "value_dict": {"a": 6}, "is_reverse": true}}
| 23,560
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = y + 11; z = t + 16; v = o + 4; o = m + 20; n = a + 2; a = 6; y = i + 15; b = f + 12; g = z + 5; t = b + 1; i = v + 20; m = a + 2; f = n + 1. Given that a = 6, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 16 to g, which gives g = t + 21.\n2. Substitute t = b + 1 to g, which gives g = b + 22.\n3. Substitute b = f + 12 to g, which gives g = f + 34.\n4. Substitute f = n + 1 to g, which gives g = n + 35.\n5. Substitute n = a + 2 to g, which gives g = a + 37.\n6. Substitute a = 6 to g, which gives g = 43.\n\nThus, the final answer is g = \\boxed{43}.",
"index": 23560,
"question": "Suppose a collection of variables is related by the following definitions: e = y + 11; z = t + 16; v = o + 4; o = m + 20; n = a + 2; a = 6; y = i + 15; b = f + 12; g = z + 5; t = b + 1; i = v + 20; m = a + 2; f = n + 1. Given that a = 6, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 11", "g": "c + 20", "n": "g + 2", "r": "n + 1", "l": "r + 7", "k": "l + 7", "d": "p + 13", "w": "d + 4", "s": "w + 10", "j": "s + 16", "f": "j + 3", "u": "f + 19", "p": 12}, "premises": {"p": 12}, "target": "k"}, "answer": {"steps": [["l", "r + 7", "r + 14"], ["r", "n + 1", "n + 15"], ["n", "g + 2", "g + 17"], ["g", "c + 20", "c + 37"], ["c", "p + 11", "p + 48"], ["p", 12, "60"]], "target_var_name": "k", "target_value": 60, "value_dict": {"p": 12}, "is_reverse": true}}
| 23,561
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = r + 7; g = c + 20; r = n + 1; p = 12; c = p + 11; w = d + 4; k = l + 7; d = p + 13; f = j + 3; n = g + 2; s = w + 10; j = s + 16; u = f + 19. If p = 12, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 7 to k, which gives k = r + 14.\n2. Substitute r = n + 1 to k, which gives k = n + 15.\n3. Substitute n = g + 2 to k, which gives k = g + 17.\n4. Substitute g = c + 20 to k, which gives k = c + 37.\n5. Substitute c = p + 11 to k, which gives k = p + 48.\n6. Substitute p = 12 to k, which gives k = 60.\n\nThus, the final answer is k = \\boxed{60}.",
"index": 23561,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = r + 7; g = c + 20; r = n + 1; p = 12; c = p + 11; w = d + 4; k = l + 7; d = p + 13; f = j + 3; n = g + 2; s = w + 10; j = s + 16; u = f + 19. If p = 12, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"f": "h + 18", "x": "f + 4", "j": "x + 19", "k": "j + 10", "n": "k + 18", "r": "n + 5", "v": "h + 1", "b": "v + 12", "w": "b + 16", "g": "w + 4", "l": "g + 13", "u": "l + 16", "h": 10}, "premises": {"h": 10}, "target": "r"}, "answer": {"steps": [["n", "k + 18", "k + 23"], ["k", "j + 10", "j + 33"], ["j", "x + 19", "x + 52"], ["x", "f + 4", "f + 56"], ["f", "h + 18", "h + 74"], ["h", 10, "84"]], "target_var_name": "r", "target_value": 84, "value_dict": {"h": 10}, "is_reverse": true}}
| 23,562
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = n + 5; j = x + 19; b = v + 12; g = w + 4; u = l + 16; k = j + 10; v = h + 1; l = g + 13; f = h + 18; n = k + 18; x = f + 4; w = b + 16; h = 10. If h = 10, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 18 to r, which gives r = k + 23.\n2. Substitute k = j + 10 to r, which gives r = j + 33.\n3. Substitute j = x + 19 to r, which gives r = x + 52.\n4. Substitute x = f + 4 to r, which gives r = f + 56.\n5. Substitute f = h + 18 to r, which gives r = h + 74.\n6. Substitute h = 10 to r, which gives r = 84.\n\nThus, the final answer is r = \\boxed{84}.",
"index": 23562,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = n + 5; j = x + 19; b = v + 12; g = w + 4; u = l + 16; k = j + 10; v = h + 1; l = g + 13; f = h + 18; n = k + 18; x = f + 4; w = b + 16; h = 10. If h = 10, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"l": "v + 7", "c": "l + 18", "d": "c + 12", "g": "d + 8", "r": "g + 6", "w": "r + 12", "i": "v + 20", "m": "i + 4", "s": "m + 10", "e": "s + 5", "q": "e + 15", "j": "q + 9", "v": 2}, "premises": {"v": 2}, "target": "w"}, "answer": {"steps": [["r", "g + 6", "g + 18"], ["g", "d + 8", "d + 26"], ["d", "c + 12", "c + 38"], ["c", "l + 18", "l + 56"], ["l", "v + 7", "v + 63"], ["v", 2, "65"]], "target_var_name": "w", "target_value": 65, "value_dict": {"v": 2}, "is_reverse": true}}
| 23,563
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 12; g = d + 8; v = 2; q = e + 15; c = l + 18; j = q + 9; i = v + 20; r = g + 6; s = m + 10; d = c + 12; e = s + 5; m = i + 4; l = v + 7. If v = 2, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 6 to w, which gives w = g + 18.\n2. Substitute g = d + 8 to w, which gives w = d + 26.\n3. Substitute d = c + 12 to w, which gives w = c + 38.\n4. Substitute c = l + 18 to w, which gives w = l + 56.\n5. Substitute l = v + 7 to w, which gives w = v + 63.\n6. Substitute v = 2 to w, which gives w = 65.\n\nThus, the final answer is w = \\boxed{65}.",
"index": 23563,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 12; g = d + 8; v = 2; q = e + 15; c = l + 18; j = q + 9; i = v + 20; r = g + 6; s = m + 10; d = c + 12; e = s + 5; m = i + 4; l = v + 7. If v = 2, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"a": "x + 15", "s": "a + 11", "u": "s + 12", "t": "u + 19", "b": "t + 19", "v": "b + 7", "y": "x + 8", "r": "y + 9", "q": "r + 20", "e": "q + 7", "w": "e + 4", "n": "w + 7", "x": 9}, "premises": {"x": 9}, "target": "v"}, "answer": {"steps": [["b", "t + 19", "t + 26"], ["t", "u + 19", "u + 45"], ["u", "s + 12", "s + 57"], ["s", "a + 11", "a + 68"], ["a", "x + 15", "x + 83"], ["x", 9, "92"]], "target_var_name": "v", "target_value": 92, "value_dict": {"x": 9}, "is_reverse": true}}
| 23,564
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = y + 9; e = q + 7; x = 9; n = w + 7; u = s + 12; s = a + 11; a = x + 15; v = b + 7; q = r + 20; b = t + 19; y = x + 8; w = e + 4; t = u + 19. Given that x = 9, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 19 to v, which gives v = t + 26.\n2. Substitute t = u + 19 to v, which gives v = u + 45.\n3. Substitute u = s + 12 to v, which gives v = s + 57.\n4. Substitute s = a + 11 to v, which gives v = a + 68.\n5. Substitute a = x + 15 to v, which gives v = x + 83.\n6. Substitute x = 9 to v, which gives v = 92.\n\nThus, the final answer is v = \\boxed{92}.",
"index": 23564,
"question": "Suppose a collection of variables is related by the following definitions: r = y + 9; e = q + 7; x = 9; n = w + 7; u = s + 12; s = a + 11; a = x + 15; v = b + 7; q = r + 20; b = t + 19; y = x + 8; w = e + 4; t = u + 19. Given that x = 9, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"s": "k + 9", "e": "s + 5", "l": "e + 13", "g": "l + 3", "a": "g + 4", "o": "a + 17", "p": "k + 2", "j": "p + 10", "z": "j + 2", "c": "z + 9", "b": "c + 16", "w": "b + 1", "k": 4}, "premises": {"k": 4}, "target": "o"}, "answer": {"steps": [["a", "g + 4", "g + 21"], ["g", "l + 3", "l + 24"], ["l", "e + 13", "e + 37"], ["e", "s + 5", "s + 42"], ["s", "k + 9", "k + 51"], ["k", 4, "55"]], "target_var_name": "o", "target_value": 55, "value_dict": {"k": 4}, "is_reverse": true}}
| 23,565
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = c + 16; g = l + 3; k = 4; e = s + 5; s = k + 9; p = k + 2; a = g + 4; c = z + 9; w = b + 1; j = p + 10; z = j + 2; l = e + 13; o = a + 17. If k = 4, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 4 to o, which gives o = g + 21.\n2. Substitute g = l + 3 to o, which gives o = l + 24.\n3. Substitute l = e + 13 to o, which gives o = e + 37.\n4. Substitute e = s + 5 to o, which gives o = s + 42.\n5. Substitute s = k + 9 to o, which gives o = k + 51.\n6. Substitute k = 4 to o, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 23565,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = c + 16; g = l + 3; k = 4; e = s + 5; s = k + 9; p = k + 2; a = g + 4; c = z + 9; w = b + 1; j = p + 10; z = j + 2; l = e + 13; o = a + 17. If k = 4, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"r": "c + 17", "v": "r + 10", "u": "v + 2", "m": "u + 18", "x": "m + 15", "t": "x + 6", "k": "c + 8", "d": "k + 9", "s": "d + 16", "a": "s + 14", "p": "a + 18", "n": "p + 6", "c": 1}, "premises": {"c": 1}, "target": "t"}, "answer": {"steps": [["x", "m + 15", "m + 21"], ["m", "u + 18", "u + 39"], ["u", "v + 2", "v + 41"], ["v", "r + 10", "r + 51"], ["r", "c + 17", "c + 68"], ["c", 1, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"c": 1}, "is_reverse": true}}
| 23,566
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = x + 6; s = d + 16; c = 1; u = v + 2; p = a + 18; n = p + 6; d = k + 9; r = c + 17; m = u + 18; x = m + 15; k = c + 8; v = r + 10; a = s + 14. Given that c = 1, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 15 to t, which gives t = m + 21.\n2. Substitute m = u + 18 to t, which gives t = u + 39.\n3. Substitute u = v + 2 to t, which gives t = v + 41.\n4. Substitute v = r + 10 to t, which gives t = r + 51.\n5. Substitute r = c + 17 to t, which gives t = c + 68.\n6. Substitute c = 1 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 23566,
"question": "Suppose a collection of variables is related by the following definitions: t = x + 6; s = d + 16; c = 1; u = v + 2; p = a + 18; n = p + 6; d = k + 9; r = c + 17; m = u + 18; x = m + 15; k = c + 8; v = r + 10; a = s + 14. Given that c = 1, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"j": "f + 1", "d": "j + 1", "r": "d + 18", "b": "r + 14", "a": "b + 16", "x": "a + 3", "q": "f + 19", "t": "q + 16", "w": "t + 7", "s": "w + 17", "v": "s + 6", "k": "v + 11", "f": 7}, "premises": {"f": 7}, "target": "x"}, "answer": {"steps": [["a", "b + 16", "b + 19"], ["b", "r + 14", "r + 33"], ["r", "d + 18", "d + 51"], ["d", "j + 1", "j + 52"], ["j", "f + 1", "f + 53"], ["f", 7, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"f": 7}, "is_reverse": true}}
| 23,567
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 19; s = w + 17; d = j + 1; x = a + 3; f = 7; t = q + 16; b = r + 14; a = b + 16; k = v + 11; r = d + 18; v = s + 6; w = t + 7; j = f + 1. If f = 7, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 16 to x, which gives x = b + 19.\n2. Substitute b = r + 14 to x, which gives x = r + 33.\n3. Substitute r = d + 18 to x, which gives x = d + 51.\n4. Substitute d = j + 1 to x, which gives x = j + 52.\n5. Substitute j = f + 1 to x, which gives x = f + 53.\n6. Substitute f = 7 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 23567,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 19; s = w + 17; d = j + 1; x = a + 3; f = 7; t = q + 16; b = r + 14; a = b + 16; k = v + 11; r = d + 18; v = s + 6; w = t + 7; j = f + 1. If f = 7, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 4", "z": "w + 1", "g": "z + 10", "x": "g + 9", "t": "x + 9", "y": "t + 11", "u": "l + 16", "o": "u + 4", "f": "o + 2", "k": "f + 7", "m": "k + 6", "b": "m + 4", "l": 11}, "premises": {"l": 11}, "target": "y"}, "answer": {"steps": [["t", "x + 9", "x + 20"], ["x", "g + 9", "g + 29"], ["g", "z + 10", "z + 39"], ["z", "w + 1", "w + 40"], ["w", "l + 4", "l + 44"], ["l", 11, "55"]], "target_var_name": "y", "target_value": 55, "value_dict": {"l": 11}, "is_reverse": true}}
| 23,568
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = k + 6; z = w + 1; l = 11; o = u + 4; b = m + 4; w = l + 4; k = f + 7; x = g + 9; y = t + 11; g = z + 10; t = x + 9; f = o + 2; u = l + 16. Given that l = 11, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 9 to y, which gives y = x + 20.\n2. Substitute x = g + 9 to y, which gives y = g + 29.\n3. Substitute g = z + 10 to y, which gives y = z + 39.\n4. Substitute z = w + 1 to y, which gives y = w + 40.\n5. Substitute w = l + 4 to y, which gives y = l + 44.\n6. Substitute l = 11 to y, which gives y = 55.\n\nThus, the final answer is y = \\boxed{55}.",
"index": 23568,
"question": "Suppose a collection of variables is related by the following definitions: m = k + 6; z = w + 1; l = 11; o = u + 4; b = m + 4; w = l + 4; k = f + 7; x = g + 9; y = t + 11; g = z + 10; t = x + 9; f = o + 2; u = l + 16. Given that l = 11, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"z": "e + 4", "u": "z + 2", "y": "u + 19", "s": "y + 9", "t": "s + 4", "p": "t + 20", "n": "e + 19", "f": "n + 20", "x": "f + 11", "a": "x + 9", "m": "a + 1", "w": "m + 9", "e": 4}, "premises": {"e": 4}, "target": "p"}, "answer": {"steps": [["t", "s + 4", "s + 24"], ["s", "y + 9", "y + 33"], ["y", "u + 19", "u + 52"], ["u", "z + 2", "z + 54"], ["z", "e + 4", "e + 58"], ["e", 4, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"e": 4}, "is_reverse": true}}
| 23,569
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = u + 19; t = s + 4; p = t + 20; u = z + 2; z = e + 4; x = f + 11; e = 4; a = x + 9; s = y + 9; f = n + 20; m = a + 1; w = m + 9; n = e + 19. Given that e = 4, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 4 to p, which gives p = s + 24.\n2. Substitute s = y + 9 to p, which gives p = y + 33.\n3. Substitute y = u + 19 to p, which gives p = u + 52.\n4. Substitute u = z + 2 to p, which gives p = z + 54.\n5. Substitute z = e + 4 to p, which gives p = e + 58.\n6. Substitute e = 4 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 23569,
"question": "Suppose a collection of variables is related by the following definitions: y = u + 19; t = s + 4; p = t + 20; u = z + 2; z = e + 4; x = f + 11; e = 4; a = x + 9; s = y + 9; f = n + 20; m = a + 1; w = m + 9; n = e + 19. Given that e = 4, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"u": "k + 12", "p": "u + 8", "i": "p + 3", "s": "i + 5", "o": "s + 1", "v": "o + 5", "c": "k + 10", "f": "c + 10", "n": "f + 8", "h": "n + 6", "d": "h + 8", "t": "d + 15", "k": 8}, "premises": {"k": 8}, "target": "v"}, "answer": {"steps": [["o", "s + 1", "s + 6"], ["s", "i + 5", "i + 11"], ["i", "p + 3", "p + 14"], ["p", "u + 8", "u + 22"], ["u", "k + 12", "k + 34"], ["k", 8, "42"]], "target_var_name": "v", "target_value": 42, "value_dict": {"k": 8}, "is_reverse": true}}
| 23,570
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 8; s = i + 5; n = f + 8; f = c + 10; v = o + 5; k = 8; o = s + 1; h = n + 6; c = k + 10; u = k + 12; i = p + 3; p = u + 8; t = d + 15. If k = 8, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 1 to v, which gives v = s + 6.\n2. Substitute s = i + 5 to v, which gives v = i + 11.\n3. Substitute i = p + 3 to v, which gives v = p + 14.\n4. Substitute p = u + 8 to v, which gives v = u + 22.\n5. Substitute u = k + 12 to v, which gives v = k + 34.\n6. Substitute k = 8 to v, which gives v = 42.\n\nThus, the final answer is v = \\boxed{42}.",
"index": 23570,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 8; s = i + 5; n = f + 8; f = c + 10; v = o + 5; k = 8; o = s + 1; h = n + 6; c = k + 10; u = k + 12; i = p + 3; p = u + 8; t = d + 15. If k = 8, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"k": "b + 20", "j": "k + 10", "a": "j + 7", "n": "a + 19", "l": "n + 9", "d": "l + 5", "s": "b + 1", "c": "s + 14", "z": "c + 9", "r": "z + 18", "i": "r + 12", "o": "i + 11", "b": 6}, "premises": {"b": 6}, "target": "d"}, "answer": {"steps": [["l", "n + 9", "n + 14"], ["n", "a + 19", "a + 33"], ["a", "j + 7", "j + 40"], ["j", "k + 10", "k + 50"], ["k", "b + 20", "b + 70"], ["b", 6, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"b": 6}, "is_reverse": true}}
| 23,571
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = r + 12; k = b + 20; c = s + 14; d = l + 5; o = i + 11; r = z + 18; s = b + 1; a = j + 7; b = 6; l = n + 9; j = k + 10; z = c + 9; n = a + 19. Given that b = 6, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 9 to d, which gives d = n + 14.\n2. Substitute n = a + 19 to d, which gives d = a + 33.\n3. Substitute a = j + 7 to d, which gives d = j + 40.\n4. Substitute j = k + 10 to d, which gives d = k + 50.\n5. Substitute k = b + 20 to d, which gives d = b + 70.\n6. Substitute b = 6 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 23571,
"question": "Suppose a collection of variables is related by the following definitions: i = r + 12; k = b + 20; c = s + 14; d = l + 5; o = i + 11; r = z + 18; s = b + 1; a = j + 7; b = 6; l = n + 9; j = k + 10; z = c + 9; n = a + 19. Given that b = 6, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"x": "l + 15", "v": "x + 15", "z": "v + 19", "a": "z + 7", "d": "a + 4", "c": "d + 7", "m": "l + 11", "i": "m + 7", "k": "i + 18", "n": "k + 13", "y": "n + 10", "u": "y + 5", "l": 20}, "premises": {"l": 20}, "target": "c"}, "answer": {"steps": [["d", "a + 4", "a + 11"], ["a", "z + 7", "z + 18"], ["z", "v + 19", "v + 37"], ["v", "x + 15", "x + 52"], ["x", "l + 15", "l + 67"], ["l", 20, "87"]], "target_var_name": "c", "target_value": 87, "value_dict": {"l": 20}, "is_reverse": true}}
| 23,572
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = x + 15; m = l + 11; c = d + 7; u = y + 5; y = n + 10; x = l + 15; i = m + 7; d = a + 4; a = z + 7; z = v + 19; k = i + 18; n = k + 13; l = 20. If l = 20, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 4 to c, which gives c = a + 11.\n2. Substitute a = z + 7 to c, which gives c = z + 18.\n3. Substitute z = v + 19 to c, which gives c = v + 37.\n4. Substitute v = x + 15 to c, which gives c = x + 52.\n5. Substitute x = l + 15 to c, which gives c = l + 67.\n6. Substitute l = 20 to c, which gives c = 87.\n\nThus, the final answer is c = \\boxed{87}.",
"index": 23572,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = x + 15; m = l + 11; c = d + 7; u = y + 5; y = n + 10; x = l + 15; i = m + 7; d = a + 4; a = z + 7; z = v + 19; k = i + 18; n = k + 13; l = 20. If l = 20, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"e": "z + 2", "s": "e + 7", "t": "s + 1", "f": "t + 3", "q": "f + 5", "n": "q + 12", "v": "z + 8", "u": "v + 1", "j": "u + 9", "c": "j + 16", "a": "c + 12", "y": "a + 7", "z": 7}, "premises": {"z": 7}, "target": "n"}, "answer": {"steps": [["q", "f + 5", "f + 17"], ["f", "t + 3", "t + 20"], ["t", "s + 1", "s + 21"], ["s", "e + 7", "e + 28"], ["e", "z + 2", "z + 30"], ["z", 7, "37"]], "target_var_name": "n", "target_value": 37, "value_dict": {"z": 7}, "is_reverse": true}}
| 23,573
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 2; s = e + 7; n = q + 12; y = a + 7; a = c + 12; f = t + 3; v = z + 8; t = s + 1; z = 7; q = f + 5; u = v + 1; c = j + 16; j = u + 9. If z = 7, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 37,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 5 to n, which gives n = f + 17.\n2. Substitute f = t + 3 to n, which gives n = t + 20.\n3. Substitute t = s + 1 to n, which gives n = s + 21.\n4. Substitute s = e + 7 to n, which gives n = e + 28.\n5. Substitute e = z + 2 to n, which gives n = z + 30.\n6. Substitute z = 7 to n, which gives n = 37.\n\nThus, the final answer is n = \\boxed{37}.",
"index": 23573,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 2; s = e + 7; n = q + 12; y = a + 7; a = c + 12; f = t + 3; v = z + 8; t = s + 1; z = 7; q = f + 5; u = v + 1; c = j + 16; j = u + 9. If z = 7, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"y": "d + 2", "x": "y + 9", "f": "x + 19", "r": "f + 11", "l": "r + 14", "a": "l + 19", "i": "d + 16", "u": "i + 14", "h": "u + 11", "k": "h + 19", "o": "k + 13", "j": "o + 19", "d": 8}, "premises": {"d": 8}, "target": "a"}, "answer": {"steps": [["l", "r + 14", "r + 33"], ["r", "f + 11", "f + 44"], ["f", "x + 19", "x + 63"], ["x", "y + 9", "y + 72"], ["y", "d + 2", "d + 74"], ["d", 8, "82"]], "target_var_name": "a", "target_value": 82, "value_dict": {"d": 8}, "is_reverse": true}}
| 23,574
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = i + 14; y = d + 2; j = o + 19; d = 8; l = r + 14; h = u + 11; i = d + 16; x = y + 9; f = x + 19; r = f + 11; o = k + 13; a = l + 19; k = h + 19. If d = 8, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 14 to a, which gives a = r + 33.\n2. Substitute r = f + 11 to a, which gives a = f + 44.\n3. Substitute f = x + 19 to a, which gives a = x + 63.\n4. Substitute x = y + 9 to a, which gives a = y + 72.\n5. Substitute y = d + 2 to a, which gives a = d + 74.\n6. Substitute d = 8 to a, which gives a = 82.\n\nThus, the final answer is a = \\boxed{82}.",
"index": 23574,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = i + 14; y = d + 2; j = o + 19; d = 8; l = r + 14; h = u + 11; i = d + 16; x = y + 9; f = x + 19; r = f + 11; o = k + 13; a = l + 19; k = h + 19. If d = 8, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"o": "y + 19", "r": "o + 14", "q": "r + 12", "t": "q + 12", "g": "t + 17", "a": "g + 13", "v": "y + 5", "d": "v + 2", "x": "d + 12", "h": "x + 10", "w": "h + 17", "k": "w + 15", "y": 16}, "premises": {"y": 16}, "target": "a"}, "answer": {"steps": [["g", "t + 17", "t + 30"], ["t", "q + 12", "q + 42"], ["q", "r + 12", "r + 54"], ["r", "o + 14", "o + 68"], ["o", "y + 19", "y + 87"], ["y", 16, "103"]], "target_var_name": "a", "target_value": 103, "value_dict": {"y": 16}, "is_reverse": true}}
| 23,575
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = 16; k = w + 15; o = y + 19; a = g + 13; h = x + 10; r = o + 14; q = r + 12; d = v + 2; v = y + 5; w = h + 17; x = d + 12; t = q + 12; g = t + 17. If y = 16, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 17 to a, which gives a = t + 30.\n2. Substitute t = q + 12 to a, which gives a = q + 42.\n3. Substitute q = r + 12 to a, which gives a = r + 54.\n4. Substitute r = o + 14 to a, which gives a = o + 68.\n5. Substitute o = y + 19 to a, which gives a = y + 87.\n6. Substitute y = 16 to a, which gives a = 103.\n\nThus, the final answer is a = \\boxed{103}.",
"index": 23575,
"question": "Consider a system of variables where each variable is defined as follows: y = 16; k = w + 15; o = y + 19; a = g + 13; h = x + 10; r = o + 14; q = r + 12; d = v + 2; v = y + 5; w = h + 17; x = d + 12; t = q + 12; g = t + 17. If y = 16, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"p": "r + 17", "s": "p + 16", "v": "s + 10", "b": "v + 13", "a": "b + 1", "t": "a + 15", "j": "r + 16", "k": "j + 1", "z": "k + 15", "i": "z + 5", "h": "i + 6", "n": "h + 19", "r": 15}, "premises": {"r": 15}, "target": "t"}, "answer": {"steps": [["a", "b + 1", "b + 16"], ["b", "v + 13", "v + 29"], ["v", "s + 10", "s + 39"], ["s", "p + 16", "p + 55"], ["p", "r + 17", "r + 72"], ["r", 15, "87"]], "target_var_name": "t", "target_value": 87, "value_dict": {"r": 15}, "is_reverse": true}}
| 23,576
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = b + 1; v = s + 10; h = i + 6; i = z + 5; s = p + 16; r = 15; b = v + 13; z = k + 15; k = j + 1; t = a + 15; n = h + 19; p = r + 17; j = r + 16. If r = 15, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 1 to t, which gives t = b + 16.\n2. Substitute b = v + 13 to t, which gives t = v + 29.\n3. Substitute v = s + 10 to t, which gives t = s + 39.\n4. Substitute s = p + 16 to t, which gives t = p + 55.\n5. Substitute p = r + 17 to t, which gives t = r + 72.\n6. Substitute r = 15 to t, which gives t = 87.\n\nThus, the final answer is t = \\boxed{87}.",
"index": 23576,
"question": "Consider a system of variables where each variable is defined as follows: a = b + 1; v = s + 10; h = i + 6; i = z + 5; s = p + 16; r = 15; b = v + 13; z = k + 15; k = j + 1; t = a + 15; n = h + 19; p = r + 17; j = r + 16. If r = 15, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"c": "l + 19", "d": "c + 15", "r": "d + 6", "g": "r + 4", "u": "g + 19", "a": "u + 2", "h": "l + 10", "k": "h + 9", "i": "k + 9", "m": "i + 17", "v": "m + 8", "f": "v + 20", "l": 14}, "premises": {"l": 14}, "target": "a"}, "answer": {"steps": [["u", "g + 19", "g + 21"], ["g", "r + 4", "r + 25"], ["r", "d + 6", "d + 31"], ["d", "c + 15", "c + 46"], ["c", "l + 19", "l + 65"], ["l", 14, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"l": 14}, "is_reverse": true}}
| 23,577
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 2; c = l + 19; g = r + 4; k = h + 9; l = 14; h = l + 10; i = k + 9; m = i + 17; u = g + 19; v = m + 8; d = c + 15; r = d + 6; f = v + 20. If l = 14, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 19 to a, which gives a = g + 21.\n2. Substitute g = r + 4 to a, which gives a = r + 25.\n3. Substitute r = d + 6 to a, which gives a = d + 31.\n4. Substitute d = c + 15 to a, which gives a = c + 46.\n5. Substitute c = l + 19 to a, which gives a = l + 65.\n6. Substitute l = 14 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 23577,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 2; c = l + 19; g = r + 4; k = h + 9; l = 14; h = l + 10; i = k + 9; m = i + 17; u = g + 19; v = m + 8; d = c + 15; r = d + 6; f = v + 20. If l = 14, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"d": "x + 19", "e": "d + 5", "o": "e + 10", "u": "o + 5", "v": "u + 3", "s": "v + 1", "q": "x + 1", "i": "q + 8", "g": "i + 19", "c": "g + 12", "w": "c + 14", "m": "w + 11", "x": 1}, "premises": {"x": 1}, "target": "s"}, "answer": {"steps": [["v", "u + 3", "u + 4"], ["u", "o + 5", "o + 9"], ["o", "e + 10", "e + 19"], ["e", "d + 5", "d + 24"], ["d", "x + 19", "x + 43"], ["x", 1, "44"]], "target_var_name": "s", "target_value": 44, "value_dict": {"x": 1}, "is_reverse": true}}
| 23,578
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = d + 5; q = x + 1; m = w + 11; w = c + 14; i = q + 8; s = v + 1; d = x + 19; c = g + 12; x = 1; g = i + 19; v = u + 3; o = e + 10; u = o + 5. If x = 1, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 3 to s, which gives s = u + 4.\n2. Substitute u = o + 5 to s, which gives s = o + 9.\n3. Substitute o = e + 10 to s, which gives s = e + 19.\n4. Substitute e = d + 5 to s, which gives s = d + 24.\n5. Substitute d = x + 19 to s, which gives s = x + 43.\n6. Substitute x = 1 to s, which gives s = 44.\n\nThus, the final answer is s = \\boxed{44}.",
"index": 23578,
"question": "Consider a system of variables where each variable is defined as follows: e = d + 5; q = x + 1; m = w + 11; w = c + 14; i = q + 8; s = v + 1; d = x + 19; c = g + 12; x = 1; g = i + 19; v = u + 3; o = e + 10; u = o + 5. If x = 1, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"v": "k + 15", "a": "v + 8", "x": "a + 1", "w": "x + 11", "p": "w + 16", "d": "p + 11", "u": "k + 18", "c": "u + 12", "t": "c + 9", "l": "t + 4", "e": "l + 20", "s": "e + 13", "k": 3}, "premises": {"k": 3}, "target": "d"}, "answer": {"steps": [["p", "w + 16", "w + 27"], ["w", "x + 11", "x + 38"], ["x", "a + 1", "a + 39"], ["a", "v + 8", "v + 47"], ["v", "k + 15", "k + 62"], ["k", 3, "65"]], "target_var_name": "d", "target_value": 65, "value_dict": {"k": 3}, "is_reverse": true}}
| 23,579
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = a + 1; w = x + 11; d = p + 11; l = t + 4; t = c + 9; p = w + 16; k = 3; v = k + 15; u = k + 18; c = u + 12; e = l + 20; s = e + 13; a = v + 8. Given that k = 3, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 16 to d, which gives d = w + 27.\n2. Substitute w = x + 11 to d, which gives d = x + 38.\n3. Substitute x = a + 1 to d, which gives d = a + 39.\n4. Substitute a = v + 8 to d, which gives d = v + 47.\n5. Substitute v = k + 15 to d, which gives d = k + 62.\n6. Substitute k = 3 to d, which gives d = 65.\n\nThus, the final answer is d = \\boxed{65}.",
"index": 23579,
"question": "Suppose a collection of variables is related by the following definitions: x = a + 1; w = x + 11; d = p + 11; l = t + 4; t = c + 9; p = w + 16; k = 3; v = k + 15; u = k + 18; c = u + 12; e = l + 20; s = e + 13; a = v + 8. Given that k = 3, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"h": "u + 17", "m": "h + 3", "x": "m + 6", "d": "x + 3", "v": "d + 17", "a": "v + 1", "w": "u + 16", "f": "w + 3", "y": "f + 10", "g": "y + 15", "i": "g + 5", "b": "i + 17", "u": 4}, "premises": {"u": 4}, "target": "a"}, "answer": {"steps": [["v", "d + 17", "d + 18"], ["d", "x + 3", "x + 21"], ["x", "m + 6", "m + 27"], ["m", "h + 3", "h + 30"], ["h", "u + 17", "u + 47"], ["u", 4, "51"]], "target_var_name": "a", "target_value": 51, "value_dict": {"u": 4}, "is_reverse": true}}
| 23,580
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = w + 3; g = y + 15; b = i + 17; y = f + 10; m = h + 3; d = x + 3; i = g + 5; h = u + 17; a = v + 1; v = d + 17; x = m + 6; u = 4; w = u + 16. If u = 4, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 17 to a, which gives a = d + 18.\n2. Substitute d = x + 3 to a, which gives a = x + 21.\n3. Substitute x = m + 6 to a, which gives a = m + 27.\n4. Substitute m = h + 3 to a, which gives a = h + 30.\n5. Substitute h = u + 17 to a, which gives a = u + 47.\n6. Substitute u = 4 to a, which gives a = 51.\n\nThus, the final answer is a = \\boxed{51}.",
"index": 23580,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = w + 3; g = y + 15; b = i + 17; y = f + 10; m = h + 3; d = x + 3; i = g + 5; h = u + 17; a = v + 1; v = d + 17; x = m + 6; u = 4; w = u + 16. If u = 4, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"x": "t + 5", "v": "x + 5", "l": "v + 14", "n": "l + 1", "p": "n + 8", "f": "p + 19", "b": "t + 2", "u": "b + 19", "o": "u + 14", "j": "o + 14", "i": "j + 11", "k": "i + 16", "t": 1}, "premises": {"t": 1}, "target": "f"}, "answer": {"steps": [["p", "n + 8", "n + 27"], ["n", "l + 1", "l + 28"], ["l", "v + 14", "v + 42"], ["v", "x + 5", "x + 47"], ["x", "t + 5", "t + 52"], ["t", 1, "53"]], "target_var_name": "f", "target_value": 53, "value_dict": {"t": 1}, "is_reverse": true}}
| 23,581
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = 1; o = u + 14; p = n + 8; b = t + 2; f = p + 19; n = l + 1; l = v + 14; i = j + 11; k = i + 16; u = b + 19; x = t + 5; j = o + 14; v = x + 5. If t = 1, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 8 to f, which gives f = n + 27.\n2. Substitute n = l + 1 to f, which gives f = l + 28.\n3. Substitute l = v + 14 to f, which gives f = v + 42.\n4. Substitute v = x + 5 to f, which gives f = x + 47.\n5. Substitute x = t + 5 to f, which gives f = t + 52.\n6. Substitute t = 1 to f, which gives f = 53.\n\nThus, the final answer is f = \\boxed{53}.",
"index": 23581,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = 1; o = u + 14; p = n + 8; b = t + 2; f = p + 19; n = l + 1; l = v + 14; i = j + 11; k = i + 16; u = b + 19; x = t + 5; j = o + 14; v = x + 5. If t = 1, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"m": "h + 14", "q": "m + 8", "r": "q + 4", "a": "r + 12", "t": "a + 10", "l": "t + 14", "p": "h + 1", "o": "p + 20", "v": "o + 6", "d": "v + 4", "b": "d + 18", "s": "b + 16", "h": 3}, "premises": {"h": 3}, "target": "l"}, "answer": {"steps": [["t", "a + 10", "a + 24"], ["a", "r + 12", "r + 36"], ["r", "q + 4", "q + 40"], ["q", "m + 8", "m + 48"], ["m", "h + 14", "h + 62"], ["h", 3, "65"]], "target_var_name": "l", "target_value": 65, "value_dict": {"h": 3}, "is_reverse": true}}
| 23,582
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = t + 14; p = h + 1; s = b + 16; b = d + 18; h = 3; r = q + 4; a = r + 12; t = a + 10; m = h + 14; d = v + 4; q = m + 8; v = o + 6; o = p + 20. If h = 3, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 10 to l, which gives l = a + 24.\n2. Substitute a = r + 12 to l, which gives l = r + 36.\n3. Substitute r = q + 4 to l, which gives l = q + 40.\n4. Substitute q = m + 8 to l, which gives l = m + 48.\n5. Substitute m = h + 14 to l, which gives l = h + 62.\n6. Substitute h = 3 to l, which gives l = 65.\n\nThus, the final answer is l = \\boxed{65}.",
"index": 23582,
"question": "Consider a system of variables where each variable is defined as follows: l = t + 14; p = h + 1; s = b + 16; b = d + 18; h = 3; r = q + 4; a = r + 12; t = a + 10; m = h + 14; d = v + 4; q = m + 8; v = o + 6; o = p + 20. If h = 3, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"l": "u + 8", "t": "l + 12", "y": "t + 3", "j": "y + 6", "e": "j + 11", "g": "e + 17", "w": "u + 4", "x": "w + 10", "b": "x + 11", "k": "b + 16", "p": "k + 11", "m": "p + 2", "u": 6}, "premises": {"u": 6}, "target": "g"}, "answer": {"steps": [["e", "j + 11", "j + 28"], ["j", "y + 6", "y + 34"], ["y", "t + 3", "t + 37"], ["t", "l + 12", "l + 49"], ["l", "u + 8", "u + 57"], ["u", 6, "63"]], "target_var_name": "g", "target_value": 63, "value_dict": {"u": 6}, "is_reverse": true}}
| 23,583
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = l + 12; m = p + 2; p = k + 11; y = t + 3; j = y + 6; e = j + 11; b = x + 11; x = w + 10; k = b + 16; g = e + 17; l = u + 8; w = u + 4; u = 6. Given that u = 6, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 11 to g, which gives g = j + 28.\n2. Substitute j = y + 6 to g, which gives g = y + 34.\n3. Substitute y = t + 3 to g, which gives g = t + 37.\n4. Substitute t = l + 12 to g, which gives g = l + 49.\n5. Substitute l = u + 8 to g, which gives g = u + 57.\n6. Substitute u = 6 to g, which gives g = 63.\n\nThus, the final answer is g = \\boxed{63}.",
"index": 23583,
"question": "Suppose a collection of variables is related by the following definitions: t = l + 12; m = p + 2; p = k + 11; y = t + 3; j = y + 6; e = j + 11; b = x + 11; x = w + 10; k = b + 16; g = e + 17; l = u + 8; w = u + 4; u = 6. Given that u = 6, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"k": "h + 1", "t": "k + 16", "n": "t + 18", "l": "n + 2", "y": "l + 7", "i": "y + 5", "q": "h + 16", "a": "q + 7", "g": "a + 6", "c": "g + 11", "o": "c + 10", "z": "o + 13", "h": 19}, "premises": {"h": 19}, "target": "i"}, "answer": {"steps": [["y", "l + 7", "l + 12"], ["l", "n + 2", "n + 14"], ["n", "t + 18", "t + 32"], ["t", "k + 16", "k + 48"], ["k", "h + 1", "h + 49"], ["h", 19, "68"]], "target_var_name": "i", "target_value": 68, "value_dict": {"h": 19}, "is_reverse": true}}
| 23,584
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = g + 11; t = k + 16; l = n + 2; o = c + 10; z = o + 13; n = t + 18; g = a + 6; h = 19; k = h + 1; a = q + 7; i = y + 5; y = l + 7; q = h + 16. Given that h = 19, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 7 to i, which gives i = l + 12.\n2. Substitute l = n + 2 to i, which gives i = n + 14.\n3. Substitute n = t + 18 to i, which gives i = t + 32.\n4. Substitute t = k + 16 to i, which gives i = k + 48.\n5. Substitute k = h + 1 to i, which gives i = h + 49.\n6. Substitute h = 19 to i, which gives i = 68.\n\nThus, the final answer is i = \\boxed{68}.",
"index": 23584,
"question": "Suppose a collection of variables is related by the following definitions: c = g + 11; t = k + 16; l = n + 2; o = c + 10; z = o + 13; n = t + 18; g = a + 6; h = 19; k = h + 1; a = q + 7; i = y + 5; y = l + 7; q = h + 16. Given that h = 19, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"k": "a + 12", "m": "k + 6", "c": "m + 16", "l": "c + 6", "f": "l + 3", "d": "f + 16", "n": "a + 8", "w": "n + 20", "h": "w + 8", "u": "h + 19", "x": "u + 4", "b": "x + 4", "a": 3}, "premises": {"a": 3}, "target": "d"}, "answer": {"steps": [["f", "l + 3", "l + 19"], ["l", "c + 6", "c + 25"], ["c", "m + 16", "m + 41"], ["m", "k + 6", "k + 47"], ["k", "a + 12", "a + 59"], ["a", 3, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"a": 3}, "is_reverse": true}}
| 23,585
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = a + 8; b = x + 4; x = u + 4; m = k + 6; c = m + 16; k = a + 12; d = f + 16; w = n + 20; a = 3; l = c + 6; h = w + 8; u = h + 19; f = l + 3. If a = 3, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 3 to d, which gives d = l + 19.\n2. Substitute l = c + 6 to d, which gives d = c + 25.\n3. Substitute c = m + 16 to d, which gives d = m + 41.\n4. Substitute m = k + 6 to d, which gives d = k + 47.\n5. Substitute k = a + 12 to d, which gives d = a + 59.\n6. Substitute a = 3 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 23585,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = a + 8; b = x + 4; x = u + 4; m = k + 6; c = m + 16; k = a + 12; d = f + 16; w = n + 20; a = 3; l = c + 6; h = w + 8; u = h + 19; f = l + 3. If a = 3, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"i": "u + 4", "o": "i + 18", "g": "o + 9", "c": "g + 1", "j": "c + 4", "w": "j + 12", "r": "u + 14", "z": "r + 4", "f": "z + 4", "d": "f + 13", "y": "d + 14", "k": "y + 10", "u": 1}, "premises": {"u": 1}, "target": "w"}, "answer": {"steps": [["j", "c + 4", "c + 16"], ["c", "g + 1", "g + 17"], ["g", "o + 9", "o + 26"], ["o", "i + 18", "i + 44"], ["i", "u + 4", "u + 48"], ["u", 1, "49"]], "target_var_name": "w", "target_value": 49, "value_dict": {"u": 1}, "is_reverse": true}}
| 23,586
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = 1; f = z + 4; r = u + 14; y = d + 14; d = f + 13; c = g + 1; z = r + 4; g = o + 9; j = c + 4; i = u + 4; k = y + 10; w = j + 12; o = i + 18. If u = 1, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 4 to w, which gives w = c + 16.\n2. Substitute c = g + 1 to w, which gives w = g + 17.\n3. Substitute g = o + 9 to w, which gives w = o + 26.\n4. Substitute o = i + 18 to w, which gives w = i + 44.\n5. Substitute i = u + 4 to w, which gives w = u + 48.\n6. Substitute u = 1 to w, which gives w = 49.\n\nThus, the final answer is w = \\boxed{49}.",
"index": 23586,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 1; f = z + 4; r = u + 14; y = d + 14; d = f + 13; c = g + 1; z = r + 4; g = o + 9; j = c + 4; i = u + 4; k = y + 10; w = j + 12; o = i + 18. If u = 1, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"l": "x + 6", "o": "l + 9", "j": "o + 11", "c": "j + 20", "g": "c + 4", "y": "g + 8", "p": "x + 3", "m": "p + 16", "n": "m + 3", "i": "n + 8", "b": "i + 10", "d": "b + 5", "x": 15}, "premises": {"x": 15}, "target": "y"}, "answer": {"steps": [["g", "c + 4", "c + 12"], ["c", "j + 20", "j + 32"], ["j", "o + 11", "o + 43"], ["o", "l + 9", "l + 52"], ["l", "x + 6", "x + 58"], ["x", 15, "73"]], "target_var_name": "y", "target_value": 73, "value_dict": {"x": 15}, "is_reverse": true}}
| 23,587
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = g + 8; o = l + 9; c = j + 20; m = p + 16; l = x + 6; d = b + 5; i = n + 8; p = x + 3; j = o + 11; g = c + 4; n = m + 3; x = 15; b = i + 10. Given that x = 15, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 4 to y, which gives y = c + 12.\n2. Substitute c = j + 20 to y, which gives y = j + 32.\n3. Substitute j = o + 11 to y, which gives y = o + 43.\n4. Substitute o = l + 9 to y, which gives y = l + 52.\n5. Substitute l = x + 6 to y, which gives y = x + 58.\n6. Substitute x = 15 to y, which gives y = 73.\n\nThus, the final answer is y = \\boxed{73}.",
"index": 23587,
"question": "Suppose a collection of variables is related by the following definitions: y = g + 8; o = l + 9; c = j + 20; m = p + 16; l = x + 6; d = b + 5; i = n + 8; p = x + 3; j = o + 11; g = c + 4; n = m + 3; x = 15; b = i + 10. Given that x = 15, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"c": "z + 7", "f": "c + 2", "x": "f + 17", "t": "x + 12", "l": "t + 18", "a": "l + 20", "r": "z + 8", "g": "r + 2", "w": "g + 10", "o": "w + 13", "j": "o + 4", "h": "j + 3", "z": 8}, "premises": {"z": 8}, "target": "a"}, "answer": {"steps": [["l", "t + 18", "t + 38"], ["t", "x + 12", "x + 50"], ["x", "f + 17", "f + 67"], ["f", "c + 2", "c + 69"], ["c", "z + 7", "z + 76"], ["z", 8, "84"]], "target_var_name": "a", "target_value": 84, "value_dict": {"z": 8}, "is_reverse": true}}
| 23,588
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = f + 17; a = l + 20; z = 8; f = c + 2; o = w + 13; t = x + 12; l = t + 18; c = z + 7; r = z + 8; w = g + 10; j = o + 4; h = j + 3; g = r + 2. If z = 8, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 18 to a, which gives a = t + 38.\n2. Substitute t = x + 12 to a, which gives a = x + 50.\n3. Substitute x = f + 17 to a, which gives a = f + 67.\n4. Substitute f = c + 2 to a, which gives a = c + 69.\n5. Substitute c = z + 7 to a, which gives a = z + 76.\n6. Substitute z = 8 to a, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 23588,
"question": "Consider a system of variables where each variable is defined as follows: x = f + 17; a = l + 20; z = 8; f = c + 2; o = w + 13; t = x + 12; l = t + 18; c = z + 7; r = z + 8; w = g + 10; j = o + 4; h = j + 3; g = r + 2. If z = 8, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"o": "j + 18", "s": "o + 17", "g": "s + 10", "r": "g + 20", "z": "r + 15", "q": "z + 11", "v": "j + 6", "n": "v + 16", "l": "n + 4", "a": "l + 1", "w": "a + 17", "b": "w + 14", "j": 16}, "premises": {"j": 16}, "target": "q"}, "answer": {"steps": [["z", "r + 15", "r + 26"], ["r", "g + 20", "g + 46"], ["g", "s + 10", "s + 56"], ["s", "o + 17", "o + 73"], ["o", "j + 18", "j + 91"], ["j", 16, "107"]], "target_var_name": "q", "target_value": 107, "value_dict": {"j": 16}, "is_reverse": true}}
| 23,589
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = a + 17; v = j + 6; z = r + 15; g = s + 10; o = j + 18; n = v + 16; b = w + 14; a = l + 1; s = o + 17; l = n + 4; q = z + 11; j = 16; r = g + 20. If j = 16, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 15 to q, which gives q = r + 26.\n2. Substitute r = g + 20 to q, which gives q = g + 46.\n3. Substitute g = s + 10 to q, which gives q = s + 56.\n4. Substitute s = o + 17 to q, which gives q = o + 73.\n5. Substitute o = j + 18 to q, which gives q = j + 91.\n6. Substitute j = 16 to q, which gives q = 107.\n\nThus, the final answer is q = \\boxed{107}.",
"index": 23589,
"question": "Consider a system of variables where each variable is defined as follows: w = a + 17; v = j + 6; z = r + 15; g = s + 10; o = j + 18; n = v + 16; b = w + 14; a = l + 1; s = o + 17; l = n + 4; q = z + 11; j = 16; r = g + 20. If j = 16, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"q": "j + 8", "g": "q + 7", "s": "g + 6", "r": "s + 9", "y": "r + 12", "d": "y + 8", "t": "j + 13", "k": "t + 1", "a": "k + 20", "b": "a + 18", "o": "b + 20", "x": "o + 5", "j": 10}, "premises": {"j": 10}, "target": "d"}, "answer": {"steps": [["y", "r + 12", "r + 20"], ["r", "s + 9", "s + 29"], ["s", "g + 6", "g + 35"], ["g", "q + 7", "q + 42"], ["q", "j + 8", "j + 50"], ["j", 10, "60"]], "target_var_name": "d", "target_value": 60, "value_dict": {"j": 10}, "is_reverse": true}}
| 23,590
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = t + 1; x = o + 5; o = b + 20; g = q + 7; j = 10; d = y + 8; b = a + 18; q = j + 8; r = s + 9; s = g + 6; y = r + 12; t = j + 13; a = k + 20. If j = 10, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 12 to d, which gives d = r + 20.\n2. Substitute r = s + 9 to d, which gives d = s + 29.\n3. Substitute s = g + 6 to d, which gives d = g + 35.\n4. Substitute g = q + 7 to d, which gives d = q + 42.\n5. Substitute q = j + 8 to d, which gives d = j + 50.\n6. Substitute j = 10 to d, which gives d = 60.\n\nThus, the final answer is d = \\boxed{60}.",
"index": 23590,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = t + 1; x = o + 5; o = b + 20; g = q + 7; j = 10; d = y + 8; b = a + 18; q = j + 8; r = s + 9; s = g + 6; y = r + 12; t = j + 13; a = k + 20. If j = 10, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"v": "e + 4", "h": "v + 20", "a": "h + 6", "c": "a + 6", "m": "c + 12", "u": "m + 13", "f": "e + 3", "g": "f + 15", "r": "g + 6", "z": "r + 3", "n": "z + 20", "b": "n + 15", "e": 18}, "premises": {"e": 18}, "target": "u"}, "answer": {"steps": [["m", "c + 12", "c + 25"], ["c", "a + 6", "a + 31"], ["a", "h + 6", "h + 37"], ["h", "v + 20", "v + 57"], ["v", "e + 4", "e + 61"], ["e", 18, "79"]], "target_var_name": "u", "target_value": 79, "value_dict": {"e": 18}, "is_reverse": true}}
| 23,591
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = h + 6; h = v + 20; b = n + 15; n = z + 20; c = a + 6; m = c + 12; r = g + 6; f = e + 3; z = r + 3; g = f + 15; u = m + 13; v = e + 4; e = 18. Given that e = 18, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 12 to u, which gives u = c + 25.\n2. Substitute c = a + 6 to u, which gives u = a + 31.\n3. Substitute a = h + 6 to u, which gives u = h + 37.\n4. Substitute h = v + 20 to u, which gives u = v + 57.\n5. Substitute v = e + 4 to u, which gives u = e + 61.\n6. Substitute e = 18 to u, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 23591,
"question": "Suppose a collection of variables is related by the following definitions: a = h + 6; h = v + 20; b = n + 15; n = z + 20; c = a + 6; m = c + 12; r = g + 6; f = e + 3; z = r + 3; g = f + 15; u = m + 13; v = e + 4; e = 18. Given that e = 18, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"n": "b + 10", "g": "n + 13", "e": "g + 19", "a": "e + 9", "m": "a + 7", "u": "m + 14", "k": "b + 19", "z": "k + 5", "w": "z + 5", "c": "w + 12", "d": "c + 14", "f": "d + 5", "b": 9}, "premises": {"b": 9}, "target": "u"}, "answer": {"steps": [["m", "a + 7", "a + 21"], ["a", "e + 9", "e + 30"], ["e", "g + 19", "g + 49"], ["g", "n + 13", "n + 62"], ["n", "b + 10", "b + 72"], ["b", 9, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"b": 9}, "is_reverse": true}}
| 23,592
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = b + 10; e = g + 19; w = z + 5; k = b + 19; b = 9; g = n + 13; f = d + 5; z = k + 5; m = a + 7; d = c + 14; c = w + 12; u = m + 14; a = e + 9. Given that b = 9, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 7 to u, which gives u = a + 21.\n2. Substitute a = e + 9 to u, which gives u = e + 30.\n3. Substitute e = g + 19 to u, which gives u = g + 49.\n4. Substitute g = n + 13 to u, which gives u = n + 62.\n5. Substitute n = b + 10 to u, which gives u = b + 72.\n6. Substitute b = 9 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 23592,
"question": "Suppose a collection of variables is related by the following definitions: n = b + 10; e = g + 19; w = z + 5; k = b + 19; b = 9; g = n + 13; f = d + 5; z = k + 5; m = a + 7; d = c + 14; c = w + 12; u = m + 14; a = e + 9. Given that b = 9, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"l": "p + 10", "w": "l + 11", "z": "w + 5", "j": "z + 5", "i": "j + 17", "k": "i + 15", "a": "p + 5", "c": "a + 12", "x": "c + 10", "b": "x + 12", "d": "b + 5", "m": "d + 15", "p": 3}, "premises": {"p": 3}, "target": "k"}, "answer": {"steps": [["i", "j + 17", "j + 32"], ["j", "z + 5", "z + 37"], ["z", "w + 5", "w + 42"], ["w", "l + 11", "l + 53"], ["l", "p + 10", "p + 63"], ["p", 3, "66"]], "target_var_name": "k", "target_value": 66, "value_dict": {"p": 3}, "is_reverse": true}}
| 23,593
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = z + 5; l = p + 10; z = w + 5; c = a + 12; x = c + 10; w = l + 11; m = d + 15; b = x + 12; d = b + 5; i = j + 17; a = p + 5; k = i + 15; p = 3. If p = 3, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 17 to k, which gives k = j + 32.\n2. Substitute j = z + 5 to k, which gives k = z + 37.\n3. Substitute z = w + 5 to k, which gives k = w + 42.\n4. Substitute w = l + 11 to k, which gives k = l + 53.\n5. Substitute l = p + 10 to k, which gives k = p + 63.\n6. Substitute p = 3 to k, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 23593,
"question": "Consider a system of variables where each variable is defined as follows: j = z + 5; l = p + 10; z = w + 5; c = a + 12; x = c + 10; w = l + 11; m = d + 15; b = x + 12; d = b + 5; i = j + 17; a = p + 5; k = i + 15; p = 3. If p = 3, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"d": "v + 11", "x": "d + 6", "l": "x + 18", "u": "l + 12", "z": "u + 13", "j": "z + 3", "q": "v + 5", "g": "q + 14", "b": "g + 7", "e": "b + 1", "o": "e + 19", "y": "o + 10", "v": 18}, "premises": {"v": 18}, "target": "j"}, "answer": {"steps": [["z", "u + 13", "u + 16"], ["u", "l + 12", "l + 28"], ["l", "x + 18", "x + 46"], ["x", "d + 6", "d + 52"], ["d", "v + 11", "v + 63"], ["v", 18, "81"]], "target_var_name": "j", "target_value": 81, "value_dict": {"v": 18}, "is_reverse": true}}
| 23,594
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 10; e = b + 1; o = e + 19; d = v + 11; g = q + 14; x = d + 6; u = l + 12; q = v + 5; b = g + 7; z = u + 13; j = z + 3; l = x + 18; v = 18. If v = 18, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 13 to j, which gives j = u + 16.\n2. Substitute u = l + 12 to j, which gives j = l + 28.\n3. Substitute l = x + 18 to j, which gives j = x + 46.\n4. Substitute x = d + 6 to j, which gives j = d + 52.\n5. Substitute d = v + 11 to j, which gives j = v + 63.\n6. Substitute v = 18 to j, which gives j = 81.\n\nThus, the final answer is j = \\boxed{81}.",
"index": 23594,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 10; e = b + 1; o = e + 19; d = v + 11; g = q + 14; x = d + 6; u = l + 12; q = v + 5; b = g + 7; z = u + 13; j = z + 3; l = x + 18; v = 18. If v = 18, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"b": "a + 15", "y": "b + 3", "d": "y + 2", "f": "d + 2", "k": "f + 5", "u": "k + 5", "c": "a + 2", "m": "c + 4", "w": "m + 12", "x": "w + 3", "p": "x + 17", "j": "p + 5", "a": 8}, "premises": {"a": 8}, "target": "u"}, "answer": {"steps": [["k", "f + 5", "f + 10"], ["f", "d + 2", "d + 12"], ["d", "y + 2", "y + 14"], ["y", "b + 3", "b + 17"], ["b", "a + 15", "a + 32"], ["a", 8, "40"]], "target_var_name": "u", "target_value": 40, "value_dict": {"a": 8}, "is_reverse": true}}
| 23,595
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = x + 17; w = m + 12; x = w + 3; a = 8; j = p + 5; u = k + 5; f = d + 2; y = b + 3; b = a + 15; m = c + 4; d = y + 2; k = f + 5; c = a + 2. If a = 8, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 5 to u, which gives u = f + 10.\n2. Substitute f = d + 2 to u, which gives u = d + 12.\n3. Substitute d = y + 2 to u, which gives u = y + 14.\n4. Substitute y = b + 3 to u, which gives u = b + 17.\n5. Substitute b = a + 15 to u, which gives u = a + 32.\n6. Substitute a = 8 to u, which gives u = 40.\n\nThus, the final answer is u = \\boxed{40}.",
"index": 23595,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = x + 17; w = m + 12; x = w + 3; a = 8; j = p + 5; u = k + 5; f = d + 2; y = b + 3; b = a + 15; m = c + 4; d = y + 2; k = f + 5; c = a + 2. If a = 8, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"r": "s + 14", "m": "r + 6", "g": "m + 1", "v": "g + 7", "e": "v + 12", "q": "e + 19", "u": "s + 2", "k": "u + 20", "i": "k + 10", "j": "i + 5", "x": "j + 10", "d": "x + 1", "s": 1}, "premises": {"s": 1}, "target": "q"}, "answer": {"steps": [["e", "v + 12", "v + 31"], ["v", "g + 7", "g + 38"], ["g", "m + 1", "m + 39"], ["m", "r + 6", "r + 45"], ["r", "s + 14", "s + 59"], ["s", 1, "60"]], "target_var_name": "q", "target_value": 60, "value_dict": {"s": 1}, "is_reverse": true}}
| 23,596
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = r + 6; u = s + 2; v = g + 7; x = j + 10; q = e + 19; d = x + 1; k = u + 20; s = 1; j = i + 5; e = v + 12; r = s + 14; i = k + 10; g = m + 1. If s = 1, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 12 to q, which gives q = v + 31.\n2. Substitute v = g + 7 to q, which gives q = g + 38.\n3. Substitute g = m + 1 to q, which gives q = m + 39.\n4. Substitute m = r + 6 to q, which gives q = r + 45.\n5. Substitute r = s + 14 to q, which gives q = s + 59.\n6. Substitute s = 1 to q, which gives q = 60.\n\nThus, the final answer is q = \\boxed{60}.",
"index": 23596,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = r + 6; u = s + 2; v = g + 7; x = j + 10; q = e + 19; d = x + 1; k = u + 20; s = 1; j = i + 5; e = v + 12; r = s + 14; i = k + 10; g = m + 1. If s = 1, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"o": "y + 19", "v": "o + 19", "e": "v + 10", "q": "e + 3", "p": "q + 15", "k": "p + 7", "f": "y + 13", "j": "f + 10", "g": "j + 9", "c": "g + 11", "s": "c + 13", "h": "s + 5", "y": 2}, "premises": {"y": 2}, "target": "k"}, "answer": {"steps": [["p", "q + 15", "q + 22"], ["q", "e + 3", "e + 25"], ["e", "v + 10", "v + 35"], ["v", "o + 19", "o + 54"], ["o", "y + 19", "y + 73"], ["y", 2, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"y": 2}, "is_reverse": true}}
| 23,597
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = o + 19; q = e + 3; k = p + 7; h = s + 5; p = q + 15; s = c + 13; g = j + 9; e = v + 10; f = y + 13; y = 2; c = g + 11; j = f + 10; o = y + 19. If y = 2, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 15 to k, which gives k = q + 22.\n2. Substitute q = e + 3 to k, which gives k = e + 25.\n3. Substitute e = v + 10 to k, which gives k = v + 35.\n4. Substitute v = o + 19 to k, which gives k = o + 54.\n5. Substitute o = y + 19 to k, which gives k = y + 73.\n6. Substitute y = 2 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 23597,
"question": "Consider a system of variables where each variable is defined as follows: v = o + 19; q = e + 3; k = p + 7; h = s + 5; p = q + 15; s = c + 13; g = j + 9; e = v + 10; f = y + 13; y = 2; c = g + 11; j = f + 10; o = y + 19. If y = 2, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 9", "n": "i + 20", "y": "n + 16", "e": "y + 5", "k": "e + 15", "j": "k + 8", "p": "a + 19", "d": "p + 20", "x": "d + 19", "r": "x + 10", "o": "r + 11", "u": "o + 7", "a": 9}, "premises": {"a": 9}, "target": "j"}, "answer": {"steps": [["k", "e + 15", "e + 23"], ["e", "y + 5", "y + 28"], ["y", "n + 16", "n + 44"], ["n", "i + 20", "i + 64"], ["i", "a + 9", "a + 73"], ["a", 9, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"a": 9}, "is_reverse": true}}
| 23,598
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = e + 15; i = a + 9; u = o + 7; p = a + 19; j = k + 8; n = i + 20; d = p + 20; x = d + 19; a = 9; y = n + 16; e = y + 5; o = r + 11; r = x + 10. Given that a = 9, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = e + 15 to j, which gives j = e + 23.\n2. Substitute e = y + 5 to j, which gives j = y + 28.\n3. Substitute y = n + 16 to j, which gives j = n + 44.\n4. Substitute n = i + 20 to j, which gives j = i + 64.\n5. Substitute i = a + 9 to j, which gives j = a + 73.\n6. Substitute a = 9 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 23598,
"question": "Suppose a collection of variables is related by the following definitions: k = e + 15; i = a + 9; u = o + 7; p = a + 19; j = k + 8; n = i + 20; d = p + 20; x = d + 19; a = 9; y = n + 16; e = y + 5; o = r + 11; r = x + 10. Given that a = 9, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"s": "e + 13", "m": "s + 18", "n": "m + 9", "i": "n + 1", "b": "i + 15", "w": "b + 8", "h": "e + 20", "r": "h + 2", "k": "r + 2", "c": "k + 1", "l": "c + 7", "t": "l + 11", "e": 13}, "premises": {"e": 13}, "target": "w"}, "answer": {"steps": [["b", "i + 15", "i + 23"], ["i", "n + 1", "n + 24"], ["n", "m + 9", "m + 33"], ["m", "s + 18", "s + 51"], ["s", "e + 13", "e + 64"], ["e", 13, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"e": 13}, "is_reverse": true}}
| 23,599
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = m + 9; e = 13; r = h + 2; i = n + 1; s = e + 13; c = k + 1; l = c + 7; b = i + 15; t = l + 11; h = e + 20; k = r + 2; w = b + 8; m = s + 18. If e = 13, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 15 to w, which gives w = i + 23.\n2. Substitute i = n + 1 to w, which gives w = n + 24.\n3. Substitute n = m + 9 to w, which gives w = m + 33.\n4. Substitute m = s + 18 to w, which gives w = s + 51.\n5. Substitute s = e + 13 to w, which gives w = e + 64.\n6. Substitute e = 13 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 23599,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = m + 9; e = 13; r = h + 2; i = n + 1; s = e + 13; c = k + 1; l = c + 7; b = i + 15; t = l + 11; h = e + 20; k = r + 2; w = b + 8; m = s + 18. If e = 13, what is the resulting value of w?",
"split": "train"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.