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": {"y": "f + 1", "q": "y + 11", "d": "q + 19", "w": "d + 2", "l": "w + 7", "m": "l + 16", "r": "f + 1", "j": "r + 2", "n": "j + 17", "h": "n + 17", "k": "h + 17", "t": "k + 2", "f": 9}, "premises": {"f": 9}, "target": "m"}, "answer": {"steps": [["l", "w + 7", "w + 23"], ["w", "d + 2", "d + 25"], ["d", "q + 19", "q + 44"], ["q", "y + 11", "y + 55"], ["y", "f + 1", "f + 56"], ["f", 9, "65"]], "target_var_name": "m", "target_value": 65, "value_dict": {"f": 9}, "is_reverse": true}}
| 24,200
| 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 = 9; k = h + 17; d = q + 19; m = l + 16; y = f + 1; t = k + 2; l = w + 7; n = j + 17; h = n + 17; r = f + 1; q = y + 11; w = d + 2; j = r + 2. If f = 9, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 7 to m, which gives m = w + 23.\n2. Substitute w = d + 2 to m, which gives m = d + 25.\n3. Substitute d = q + 19 to m, which gives m = q + 44.\n4. Substitute q = y + 11 to m, which gives m = y + 55.\n5. Substitute y = f + 1 to m, which gives m = f + 56.\n6. Substitute f = 9 to m, which gives m = 65.\n\nThus, the final answer is m = \\boxed{65}.",
"index": 24200,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 9; k = h + 17; d = q + 19; m = l + 16; y = f + 1; t = k + 2; l = w + 7; n = j + 17; h = n + 17; r = f + 1; q = y + 11; w = d + 2; j = r + 2. If f = 9, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"u": "p + 15", "x": "u + 6", "g": "x + 4", "b": "g + 12", "q": "b + 1", "e": "q + 2", "o": "p + 10", "d": "o + 4", "m": "d + 17", "y": "m + 18", "v": "y + 9", "h": "v + 4", "p": 14}, "premises": {"p": 14}, "target": "e"}, "answer": {"steps": [["q", "b + 1", "b + 3"], ["b", "g + 12", "g + 15"], ["g", "x + 4", "x + 19"], ["x", "u + 6", "u + 25"], ["u", "p + 15", "p + 40"], ["p", 14, "54"]], "target_var_name": "e", "target_value": 54, "value_dict": {"p": 14}, "is_reverse": true}}
| 24,201
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = u + 6; d = o + 4; e = q + 2; m = d + 17; o = p + 10; g = x + 4; q = b + 1; b = g + 12; u = p + 15; y = m + 18; p = 14; h = v + 4; v = y + 9. Given that p = 14, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 1 to e, which gives e = b + 3.\n2. Substitute b = g + 12 to e, which gives e = g + 15.\n3. Substitute g = x + 4 to e, which gives e = x + 19.\n4. Substitute x = u + 6 to e, which gives e = u + 25.\n5. Substitute u = p + 15 to e, which gives e = p + 40.\n6. Substitute p = 14 to e, which gives e = 54.\n\nThus, the final answer is e = \\boxed{54}.",
"index": 24201,
"question": "Suppose a collection of variables is related by the following definitions: x = u + 6; d = o + 4; e = q + 2; m = d + 17; o = p + 10; g = x + 4; q = b + 1; b = g + 12; u = p + 15; y = m + 18; p = 14; h = v + 4; v = y + 9. Given that p = 14, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"h": "x + 17", "n": "h + 20", "o": "n + 7", "w": "o + 6", "l": "w + 1", "b": "l + 1", "m": "x + 17", "z": "m + 17", "t": "z + 7", "c": "t + 10", "r": "c + 8", "k": "r + 14", "x": 8}, "premises": {"x": 8}, "target": "b"}, "answer": {"steps": [["l", "w + 1", "w + 2"], ["w", "o + 6", "o + 8"], ["o", "n + 7", "n + 15"], ["n", "h + 20", "h + 35"], ["h", "x + 17", "x + 52"], ["x", 8, "60"]], "target_var_name": "b", "target_value": 60, "value_dict": {"x": 8}, "is_reverse": true}}
| 24,202
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = m + 17; k = r + 14; n = h + 20; h = x + 17; o = n + 7; r = c + 8; b = l + 1; t = z + 7; c = t + 10; l = w + 1; x = 8; w = o + 6; m = x + 17. If x = 8, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 1 to b, which gives b = w + 2.\n2. Substitute w = o + 6 to b, which gives b = o + 8.\n3. Substitute o = n + 7 to b, which gives b = n + 15.\n4. Substitute n = h + 20 to b, which gives b = h + 35.\n5. Substitute h = x + 17 to b, which gives b = x + 52.\n6. Substitute x = 8 to b, which gives b = 60.\n\nThus, the final answer is b = \\boxed{60}.",
"index": 24202,
"question": "Consider a system of variables where each variable is defined as follows: z = m + 17; k = r + 14; n = h + 20; h = x + 17; o = n + 7; r = c + 8; b = l + 1; t = z + 7; c = t + 10; l = w + 1; x = 8; w = o + 6; m = x + 17. If x = 8, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"e": "z + 17", "b": "e + 19", "j": "b + 17", "c": "j + 3", "k": "c + 8", "l": "k + 5", "s": "z + 14", "i": "s + 11", "u": "i + 9", "a": "u + 12", "o": "a + 4", "g": "o + 10", "z": 11}, "premises": {"z": 11}, "target": "l"}, "answer": {"steps": [["k", "c + 8", "c + 13"], ["c", "j + 3", "j + 16"], ["j", "b + 17", "b + 33"], ["b", "e + 19", "e + 52"], ["e", "z + 17", "z + 69"], ["z", 11, "80"]], "target_var_name": "l", "target_value": 80, "value_dict": {"z": 11}, "is_reverse": true}}
| 24,203
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 12; b = e + 19; o = a + 4; z = 11; i = s + 11; c = j + 3; e = z + 17; s = z + 14; g = o + 10; k = c + 8; l = k + 5; u = i + 9; j = b + 17. If z = 11, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 8 to l, which gives l = c + 13.\n2. Substitute c = j + 3 to l, which gives l = j + 16.\n3. Substitute j = b + 17 to l, which gives l = b + 33.\n4. Substitute b = e + 19 to l, which gives l = e + 52.\n5. Substitute e = z + 17 to l, which gives l = z + 69.\n6. Substitute z = 11 to l, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 24203,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 12; b = e + 19; o = a + 4; z = 11; i = s + 11; c = j + 3; e = z + 17; s = z + 14; g = o + 10; k = c + 8; l = k + 5; u = i + 9; j = b + 17. If z = 11, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"m": "o + 14", "v": "m + 6", "b": "v + 20", "k": "b + 19", "l": "k + 4", "w": "l + 4", "r": "o + 13", "j": "r + 15", "i": "j + 7", "q": "i + 14", "t": "q + 9", "g": "t + 9", "o": 10}, "premises": {"o": 10}, "target": "w"}, "answer": {"steps": [["l", "k + 4", "k + 8"], ["k", "b + 19", "b + 27"], ["b", "v + 20", "v + 47"], ["v", "m + 6", "m + 53"], ["m", "o + 14", "o + 67"], ["o", 10, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"o": 10}, "is_reverse": true}}
| 24,204
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = t + 9; m = o + 14; w = l + 4; l = k + 4; b = v + 20; i = j + 7; o = 10; r = o + 13; j = r + 15; v = m + 6; t = q + 9; k = b + 19; q = i + 14. Given that o = 10, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 4 to w, which gives w = k + 8.\n2. Substitute k = b + 19 to w, which gives w = b + 27.\n3. Substitute b = v + 20 to w, which gives w = v + 47.\n4. Substitute v = m + 6 to w, which gives w = m + 53.\n5. Substitute m = o + 14 to w, which gives w = o + 67.\n6. Substitute o = 10 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 24204,
"question": "Suppose a collection of variables is related by the following definitions: g = t + 9; m = o + 14; w = l + 4; l = k + 4; b = v + 20; i = j + 7; o = 10; r = o + 13; j = r + 15; v = m + 6; t = q + 9; k = b + 19; q = i + 14. Given that o = 10, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"r": "t + 16", "d": "r + 19", "m": "d + 15", "b": "m + 5", "j": "b + 14", "l": "j + 12", "c": "t + 12", "f": "c + 2", "z": "f + 17", "a": "z + 4", "v": "a + 9", "o": "v + 15", "t": 8}, "premises": {"t": 8}, "target": "l"}, "answer": {"steps": [["j", "b + 14", "b + 26"], ["b", "m + 5", "m + 31"], ["m", "d + 15", "d + 46"], ["d", "r + 19", "r + 65"], ["r", "t + 16", "t + 81"], ["t", 8, "89"]], "target_var_name": "l", "target_value": 89, "value_dict": {"t": 8}, "is_reverse": true}}
| 24,205
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = b + 14; d = r + 19; r = t + 16; f = c + 2; z = f + 17; a = z + 4; b = m + 5; v = a + 9; l = j + 12; o = v + 15; m = d + 15; c = t + 12; t = 8. If t = 8, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 14 to l, which gives l = b + 26.\n2. Substitute b = m + 5 to l, which gives l = m + 31.\n3. Substitute m = d + 15 to l, which gives l = d + 46.\n4. Substitute d = r + 19 to l, which gives l = r + 65.\n5. Substitute r = t + 16 to l, which gives l = t + 81.\n6. Substitute t = 8 to l, which gives l = 89.\n\nThus, the final answer is l = \\boxed{89}.",
"index": 24205,
"question": "Consider a system of variables where each variable is defined as follows: j = b + 14; d = r + 19; r = t + 16; f = c + 2; z = f + 17; a = z + 4; b = m + 5; v = a + 9; l = j + 12; o = v + 15; m = d + 15; c = t + 12; t = 8. If t = 8, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"k": "b + 11", "c": "k + 10", "e": "c + 16", "v": "e + 2", "g": "v + 9", "q": "g + 13", "s": "b + 19", "p": "s + 6", "m": "p + 8", "i": "m + 14", "o": "i + 2", "h": "o + 1", "b": 12}, "premises": {"b": 12}, "target": "q"}, "answer": {"steps": [["g", "v + 9", "v + 22"], ["v", "e + 2", "e + 24"], ["e", "c + 16", "c + 40"], ["c", "k + 10", "k + 50"], ["k", "b + 11", "b + 61"], ["b", 12, "73"]], "target_var_name": "q", "target_value": 73, "value_dict": {"b": 12}, "is_reverse": true}}
| 24,206
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = o + 1; c = k + 10; b = 12; v = e + 2; e = c + 16; s = b + 19; p = s + 6; g = v + 9; m = p + 8; o = i + 2; q = g + 13; i = m + 14; k = b + 11. If b = 12, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 9 to q, which gives q = v + 22.\n2. Substitute v = e + 2 to q, which gives q = e + 24.\n3. Substitute e = c + 16 to q, which gives q = c + 40.\n4. Substitute c = k + 10 to q, which gives q = k + 50.\n5. Substitute k = b + 11 to q, which gives q = b + 61.\n6. Substitute b = 12 to q, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 24206,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = o + 1; c = k + 10; b = 12; v = e + 2; e = c + 16; s = b + 19; p = s + 6; g = v + 9; m = p + 8; o = i + 2; q = g + 13; i = m + 14; k = b + 11. If b = 12, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"v": "h + 5", "u": "v + 12", "r": "u + 15", "c": "r + 9", "l": "c + 20", "s": "l + 11", "n": "h + 1", "e": "n + 11", "w": "e + 9", "g": "w + 11", "z": "g + 10", "t": "z + 6", "h": 7}, "premises": {"h": 7}, "target": "s"}, "answer": {"steps": [["l", "c + 20", "c + 31"], ["c", "r + 9", "r + 40"], ["r", "u + 15", "u + 55"], ["u", "v + 12", "v + 67"], ["v", "h + 5", "h + 72"], ["h", 7, "79"]], "target_var_name": "s", "target_value": 79, "value_dict": {"h": 7}, "is_reverse": true}}
| 24,207
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = 7; r = u + 15; c = r + 9; n = h + 1; e = n + 11; l = c + 20; s = l + 11; v = h + 5; w = e + 9; t = z + 6; u = v + 12; g = w + 11; z = g + 10. If h = 7, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 20 to s, which gives s = c + 31.\n2. Substitute c = r + 9 to s, which gives s = r + 40.\n3. Substitute r = u + 15 to s, which gives s = u + 55.\n4. Substitute u = v + 12 to s, which gives s = v + 67.\n5. Substitute v = h + 5 to s, which gives s = h + 72.\n6. Substitute h = 7 to s, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 24207,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 7; r = u + 15; c = r + 9; n = h + 1; e = n + 11; l = c + 20; s = l + 11; v = h + 5; w = e + 9; t = z + 6; u = v + 12; g = w + 11; z = g + 10. If h = 7, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"t": "v + 19", "u": "t + 18", "y": "u + 2", "b": "y + 14", "m": "b + 3", "o": "m + 12", "p": "v + 18", "e": "p + 17", "q": "e + 10", "a": "q + 18", "j": "a + 2", "z": "j + 15", "v": 2}, "premises": {"v": 2}, "target": "o"}, "answer": {"steps": [["m", "b + 3", "b + 15"], ["b", "y + 14", "y + 29"], ["y", "u + 2", "u + 31"], ["u", "t + 18", "t + 49"], ["t", "v + 19", "v + 68"], ["v", 2, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"v": 2}, "is_reverse": true}}
| 24,208
| 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 = p + 17; z = j + 15; b = y + 14; o = m + 12; u = t + 18; j = a + 2; a = q + 18; q = e + 10; y = u + 2; t = v + 19; v = 2; p = v + 18; m = b + 3. If v = 2, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 3 to o, which gives o = b + 15.\n2. Substitute b = y + 14 to o, which gives o = y + 29.\n3. Substitute y = u + 2 to o, which gives o = u + 31.\n4. Substitute u = t + 18 to o, which gives o = t + 49.\n5. Substitute t = v + 19 to o, which gives o = v + 68.\n6. Substitute v = 2 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 24208,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 17; z = j + 15; b = y + 14; o = m + 12; u = t + 18; j = a + 2; a = q + 18; q = e + 10; y = u + 2; t = v + 19; v = 2; p = v + 18; m = b + 3. If v = 2, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"y": "s + 19", "i": "y + 11", "h": "i + 8", "q": "h + 11", "l": "q + 7", "f": "l + 16", "g": "s + 8", "j": "g + 16", "x": "j + 10", "a": "x + 1", "b": "a + 17", "n": "b + 13", "s": 8}, "premises": {"s": 8}, "target": "f"}, "answer": {"steps": [["l", "q + 7", "q + 23"], ["q", "h + 11", "h + 34"], ["h", "i + 8", "i + 42"], ["i", "y + 11", "y + 53"], ["y", "s + 19", "s + 72"], ["s", 8, "80"]], "target_var_name": "f", "target_value": 80, "value_dict": {"s": 8}, "is_reverse": true}}
| 24,209
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = s + 19; q = h + 11; l = q + 7; g = s + 8; h = i + 8; j = g + 16; i = y + 11; s = 8; a = x + 1; x = j + 10; n = b + 13; b = a + 17; f = l + 16. If s = 8, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 7 to f, which gives f = q + 23.\n2. Substitute q = h + 11 to f, which gives f = h + 34.\n3. Substitute h = i + 8 to f, which gives f = i + 42.\n4. Substitute i = y + 11 to f, which gives f = y + 53.\n5. Substitute y = s + 19 to f, which gives f = s + 72.\n6. Substitute s = 8 to f, which gives f = 80.\n\nThus, the final answer is f = \\boxed{80}.",
"index": 24209,
"question": "Consider a system of variables where each variable is defined as follows: y = s + 19; q = h + 11; l = q + 7; g = s + 8; h = i + 8; j = g + 16; i = y + 11; s = 8; a = x + 1; x = j + 10; n = b + 13; b = a + 17; f = l + 16. If s = 8, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"f": "x + 14", "b": "f + 10", "n": "b + 12", "a": "n + 4", "l": "a + 20", "v": "l + 1", "m": "x + 13", "z": "m + 1", "y": "z + 6", "k": "y + 1", "w": "k + 8", "c": "w + 7", "x": 20}, "premises": {"x": 20}, "target": "v"}, "answer": {"steps": [["l", "a + 20", "a + 21"], ["a", "n + 4", "n + 25"], ["n", "b + 12", "b + 37"], ["b", "f + 10", "f + 47"], ["f", "x + 14", "x + 61"], ["x", 20, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"x": 20}, "is_reverse": true}}
| 24,210
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = w + 7; k = y + 1; l = a + 20; m = x + 13; b = f + 10; x = 20; f = x + 14; y = z + 6; w = k + 8; n = b + 12; a = n + 4; v = l + 1; z = m + 1. Given that x = 20, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 20 to v, which gives v = a + 21.\n2. Substitute a = n + 4 to v, which gives v = n + 25.\n3. Substitute n = b + 12 to v, which gives v = b + 37.\n4. Substitute b = f + 10 to v, which gives v = f + 47.\n5. Substitute f = x + 14 to v, which gives v = x + 61.\n6. Substitute x = 20 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 24210,
"question": "Suppose a collection of variables is related by the following definitions: c = w + 7; k = y + 1; l = a + 20; m = x + 13; b = f + 10; x = 20; f = x + 14; y = z + 6; w = k + 8; n = b + 12; a = n + 4; v = l + 1; z = m + 1. Given that x = 20, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"o": "e + 20", "w": "o + 3", "h": "w + 4", "z": "h + 1", "r": "z + 3", "a": "r + 14", "f": "e + 3", "p": "f + 18", "l": "p + 8", "b": "l + 19", "y": "b + 16", "x": "y + 15", "e": 11}, "premises": {"e": 11}, "target": "a"}, "answer": {"steps": [["r", "z + 3", "z + 17"], ["z", "h + 1", "h + 18"], ["h", "w + 4", "w + 22"], ["w", "o + 3", "o + 25"], ["o", "e + 20", "e + 45"], ["e", 11, "56"]], "target_var_name": "a", "target_value": 56, "value_dict": {"e": 11}, "is_reverse": true}}
| 24,211
| 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 = z + 3; f = e + 3; w = o + 3; p = f + 18; o = e + 20; x = y + 15; y = b + 16; z = h + 1; e = 11; h = w + 4; l = p + 8; b = l + 19; a = r + 14. If e = 11, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 3 to a, which gives a = z + 17.\n2. Substitute z = h + 1 to a, which gives a = h + 18.\n3. Substitute h = w + 4 to a, which gives a = w + 22.\n4. Substitute w = o + 3 to a, which gives a = o + 25.\n5. Substitute o = e + 20 to a, which gives a = e + 45.\n6. Substitute e = 11 to a, which gives a = 56.\n\nThus, the final answer is a = \\boxed{56}.",
"index": 24211,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 3; f = e + 3; w = o + 3; p = f + 18; o = e + 20; x = y + 15; y = b + 16; z = h + 1; e = 11; h = w + 4; l = p + 8; b = l + 19; a = r + 14. If e = 11, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"w": "t + 3", "c": "w + 11", "j": "c + 18", "d": "j + 20", "r": "d + 10", "f": "r + 1", "s": "t + 1", "a": "s + 9", "v": "a + 17", "n": "v + 2", "x": "n + 15", "z": "x + 1", "t": 2}, "premises": {"t": 2}, "target": "f"}, "answer": {"steps": [["r", "d + 10", "d + 11"], ["d", "j + 20", "j + 31"], ["j", "c + 18", "c + 49"], ["c", "w + 11", "w + 60"], ["w", "t + 3", "t + 63"], ["t", 2, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"t": 2}, "is_reverse": true}}
| 24,212
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = s + 9; j = c + 18; f = r + 1; d = j + 20; r = d + 10; n = v + 2; z = x + 1; x = n + 15; t = 2; s = t + 1; v = a + 17; c = w + 11; w = t + 3. Given that t = 2, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 10 to f, which gives f = d + 11.\n2. Substitute d = j + 20 to f, which gives f = j + 31.\n3. Substitute j = c + 18 to f, which gives f = c + 49.\n4. Substitute c = w + 11 to f, which gives f = w + 60.\n5. Substitute w = t + 3 to f, which gives f = t + 63.\n6. Substitute t = 2 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 24212,
"question": "Suppose a collection of variables is related by the following definitions: a = s + 9; j = c + 18; f = r + 1; d = j + 20; r = d + 10; n = v + 2; z = x + 1; x = n + 15; t = 2; s = t + 1; v = a + 17; c = w + 11; w = t + 3. Given that t = 2, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"b": "i + 13", "m": "b + 10", "z": "m + 10", "k": "z + 16", "s": "k + 18", "l": "s + 20", "r": "i + 14", "a": "r + 7", "e": "a + 8", "n": "e + 19", "d": "n + 15", "u": "d + 6", "i": 19}, "premises": {"i": 19}, "target": "l"}, "answer": {"steps": [["s", "k + 18", "k + 38"], ["k", "z + 16", "z + 54"], ["z", "m + 10", "m + 64"], ["m", "b + 10", "b + 74"], ["b", "i + 13", "i + 87"], ["i", 19, "106"]], "target_var_name": "l", "target_value": 106, "value_dict": {"i": 19}, "is_reverse": true}}
| 24,213
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 13; a = r + 7; e = a + 8; l = s + 20; r = i + 14; d = n + 15; u = d + 6; k = z + 16; m = b + 10; i = 19; z = m + 10; n = e + 19; s = k + 18. If i = 19, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 18 to l, which gives l = k + 38.\n2. Substitute k = z + 16 to l, which gives l = z + 54.\n3. Substitute z = m + 10 to l, which gives l = m + 64.\n4. Substitute m = b + 10 to l, which gives l = b + 74.\n5. Substitute b = i + 13 to l, which gives l = i + 87.\n6. Substitute i = 19 to l, which gives l = 106.\n\nThus, the final answer is l = \\boxed{106}.",
"index": 24213,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 13; a = r + 7; e = a + 8; l = s + 20; r = i + 14; d = n + 15; u = d + 6; k = z + 16; m = b + 10; i = 19; z = m + 10; n = e + 19; s = k + 18. If i = 19, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"i": "y + 6", "l": "i + 14", "o": "l + 20", "j": "o + 2", "u": "j + 9", "d": "u + 2", "m": "y + 18", "f": "m + 12", "c": "f + 6", "w": "c + 1", "k": "w + 18", "r": "k + 17", "y": 5}, "premises": {"y": 5}, "target": "d"}, "answer": {"steps": [["u", "j + 9", "j + 11"], ["j", "o + 2", "o + 13"], ["o", "l + 20", "l + 33"], ["l", "i + 14", "i + 47"], ["i", "y + 6", "y + 53"], ["y", 5, "58"]], "target_var_name": "d", "target_value": 58, "value_dict": {"y": 5}, "is_reverse": true}}
| 24,214
| 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 = y + 18; l = i + 14; o = l + 20; d = u + 2; u = j + 9; j = o + 2; f = m + 12; y = 5; c = f + 6; w = c + 1; k = w + 18; i = y + 6; r = k + 17. If y = 5, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 9 to d, which gives d = j + 11.\n2. Substitute j = o + 2 to d, which gives d = o + 13.\n3. Substitute o = l + 20 to d, which gives d = l + 33.\n4. Substitute l = i + 14 to d, which gives d = i + 47.\n5. Substitute i = y + 6 to d, which gives d = y + 53.\n6. Substitute y = 5 to d, which gives d = 58.\n\nThus, the final answer is d = \\boxed{58}.",
"index": 24214,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 18; l = i + 14; o = l + 20; d = u + 2; u = j + 9; j = o + 2; f = m + 12; y = 5; c = f + 6; w = c + 1; k = w + 18; i = y + 6; r = k + 17. If y = 5, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"j": "o + 12", "p": "j + 8", "m": "p + 6", "y": "m + 15", "q": "y + 8", "v": "q + 14", "a": "o + 1", "k": "a + 3", "z": "k + 6", "l": "z + 11", "b": "l + 1", "e": "b + 13", "o": 4}, "premises": {"o": 4}, "target": "v"}, "answer": {"steps": [["q", "y + 8", "y + 22"], ["y", "m + 15", "m + 37"], ["m", "p + 6", "p + 43"], ["p", "j + 8", "j + 51"], ["j", "o + 12", "o + 63"], ["o", 4, "67"]], "target_var_name": "v", "target_value": 67, "value_dict": {"o": 4}, "is_reverse": true}}
| 24,215
| 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 = l + 1; y = m + 15; z = k + 6; j = o + 12; l = z + 11; o = 4; e = b + 13; v = q + 14; a = o + 1; q = y + 8; k = a + 3; p = j + 8; m = p + 6. If o = 4, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 8 to v, which gives v = y + 22.\n2. Substitute y = m + 15 to v, which gives v = m + 37.\n3. Substitute m = p + 6 to v, which gives v = p + 43.\n4. Substitute p = j + 8 to v, which gives v = j + 51.\n5. Substitute j = o + 12 to v, which gives v = o + 63.\n6. Substitute o = 4 to v, which gives v = 67.\n\nThus, the final answer is v = \\boxed{67}.",
"index": 24215,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 1; y = m + 15; z = k + 6; j = o + 12; l = z + 11; o = 4; e = b + 13; v = q + 14; a = o + 1; q = y + 8; k = a + 3; p = j + 8; m = p + 6. If o = 4, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"w": "i + 2", "t": "w + 6", "h": "t + 7", "j": "h + 17", "q": "j + 7", "o": "q + 1", "x": "i + 14", "f": "x + 18", "r": "f + 10", "g": "r + 6", "l": "g + 20", "u": "l + 13", "i": 19}, "premises": {"i": 19}, "target": "o"}, "answer": {"steps": [["q", "j + 7", "j + 8"], ["j", "h + 17", "h + 25"], ["h", "t + 7", "t + 32"], ["t", "w + 6", "w + 38"], ["w", "i + 2", "i + 40"], ["i", 19, "59"]], "target_var_name": "o", "target_value": 59, "value_dict": {"i": 19}, "is_reverse": true}}
| 24,216
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = j + 7; w = i + 2; u = l + 13; x = i + 14; r = f + 10; t = w + 6; l = g + 20; o = q + 1; i = 19; f = x + 18; j = h + 17; g = r + 6; h = t + 7. Given that i = 19, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 7 to o, which gives o = j + 8.\n2. Substitute j = h + 17 to o, which gives o = h + 25.\n3. Substitute h = t + 7 to o, which gives o = t + 32.\n4. Substitute t = w + 6 to o, which gives o = w + 38.\n5. Substitute w = i + 2 to o, which gives o = i + 40.\n6. Substitute i = 19 to o, which gives o = 59.\n\nThus, the final answer is o = \\boxed{59}.",
"index": 24216,
"question": "Suppose a collection of variables is related by the following definitions: q = j + 7; w = i + 2; u = l + 13; x = i + 14; r = f + 10; t = w + 6; l = g + 20; o = q + 1; i = 19; f = x + 18; j = h + 17; g = r + 6; h = t + 7. Given that i = 19, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"j": "w + 9", "s": "j + 3", "r": "s + 20", "l": "r + 16", "e": "l + 8", "h": "e + 14", "c": "w + 15", "b": "c + 18", "k": "b + 19", "a": "k + 10", "g": "a + 15", "q": "g + 19", "w": 2}, "premises": {"w": 2}, "target": "h"}, "answer": {"steps": [["e", "l + 8", "l + 22"], ["l", "r + 16", "r + 38"], ["r", "s + 20", "s + 58"], ["s", "j + 3", "j + 61"], ["j", "w + 9", "w + 70"], ["w", 2, "72"]], "target_var_name": "h", "target_value": 72, "value_dict": {"w": 2}, "is_reverse": true}}
| 24,217
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = w + 9; c = w + 15; l = r + 16; k = b + 19; w = 2; b = c + 18; r = s + 20; a = k + 10; s = j + 3; g = a + 15; q = g + 19; e = l + 8; h = e + 14. If w = 2, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 8 to h, which gives h = l + 22.\n2. Substitute l = r + 16 to h, which gives h = r + 38.\n3. Substitute r = s + 20 to h, which gives h = s + 58.\n4. Substitute s = j + 3 to h, which gives h = j + 61.\n5. Substitute j = w + 9 to h, which gives h = w + 70.\n6. Substitute w = 2 to h, which gives h = 72.\n\nThus, the final answer is h = \\boxed{72}.",
"index": 24217,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = w + 9; c = w + 15; l = r + 16; k = b + 19; w = 2; b = c + 18; r = s + 20; a = k + 10; s = j + 3; g = a + 15; q = g + 19; e = l + 8; h = e + 14. If w = 2, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"x": "o + 9", "r": "x + 6", "w": "r + 11", "i": "w + 14", "c": "i + 12", "g": "c + 3", "v": "o + 2", "k": "v + 2", "e": "k + 9", "p": "e + 6", "t": "p + 17", "j": "t + 16", "o": 20}, "premises": {"o": 20}, "target": "g"}, "answer": {"steps": [["c", "i + 12", "i + 15"], ["i", "w + 14", "w + 29"], ["w", "r + 11", "r + 40"], ["r", "x + 6", "x + 46"], ["x", "o + 9", "o + 55"], ["o", 20, "75"]], "target_var_name": "g", "target_value": 75, "value_dict": {"o": 20}, "is_reverse": true}}
| 24,218
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 17; v = o + 2; x = o + 9; e = k + 9; o = 20; k = v + 2; i = w + 14; p = e + 6; c = i + 12; r = x + 6; j = t + 16; g = c + 3; w = r + 11. If o = 20, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 12 to g, which gives g = i + 15.\n2. Substitute i = w + 14 to g, which gives g = w + 29.\n3. Substitute w = r + 11 to g, which gives g = r + 40.\n4. Substitute r = x + 6 to g, which gives g = x + 46.\n5. Substitute x = o + 9 to g, which gives g = o + 55.\n6. Substitute o = 20 to g, which gives g = 75.\n\nThus, the final answer is g = \\boxed{75}.",
"index": 24218,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 17; v = o + 2; x = o + 9; e = k + 9; o = 20; k = v + 2; i = w + 14; p = e + 6; c = i + 12; r = x + 6; j = t + 16; g = c + 3; w = r + 11. If o = 20, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"p": "m + 20", "u": "p + 18", "i": "u + 3", "b": "i + 5", "j": "b + 13", "x": "j + 18", "y": "m + 4", "v": "y + 10", "g": "v + 16", "c": "g + 10", "f": "c + 10", "s": "f + 15", "m": 14}, "premises": {"m": 14}, "target": "x"}, "answer": {"steps": [["j", "b + 13", "b + 31"], ["b", "i + 5", "i + 36"], ["i", "u + 3", "u + 39"], ["u", "p + 18", "p + 57"], ["p", "m + 20", "m + 77"], ["m", 14, "91"]], "target_var_name": "x", "target_value": 91, "value_dict": {"m": 14}, "is_reverse": true}}
| 24,219
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 18; p = m + 20; v = y + 10; b = i + 5; m = 14; f = c + 10; y = m + 4; j = b + 13; g = v + 16; c = g + 10; i = u + 3; s = f + 15; u = p + 18. If m = 14, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 13 to x, which gives x = b + 31.\n2. Substitute b = i + 5 to x, which gives x = i + 36.\n3. Substitute i = u + 3 to x, which gives x = u + 39.\n4. Substitute u = p + 18 to x, which gives x = p + 57.\n5. Substitute p = m + 20 to x, which gives x = m + 77.\n6. Substitute m = 14 to x, which gives x = 91.\n\nThus, the final answer is x = \\boxed{91}.",
"index": 24219,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 18; p = m + 20; v = y + 10; b = i + 5; m = 14; f = c + 10; y = m + 4; j = b + 13; g = v + 16; c = g + 10; i = u + 3; s = f + 15; u = p + 18. If m = 14, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"a": "m + 20", "z": "a + 19", "i": "z + 20", "e": "i + 5", "g": "e + 3", "f": "g + 13", "w": "m + 17", "o": "w + 16", "j": "o + 6", "x": "j + 17", "y": "x + 16", "v": "y + 5", "m": 6}, "premises": {"m": 6}, "target": "f"}, "answer": {"steps": [["g", "e + 3", "e + 16"], ["e", "i + 5", "i + 21"], ["i", "z + 20", "z + 41"], ["z", "a + 19", "a + 60"], ["a", "m + 20", "m + 80"], ["m", 6, "86"]], "target_var_name": "f", "target_value": 86, "value_dict": {"m": 6}, "is_reverse": true}}
| 24,220
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = o + 6; i = z + 20; a = m + 20; x = j + 17; z = a + 19; y = x + 16; e = i + 5; g = e + 3; w = m + 17; o = w + 16; m = 6; v = y + 5; f = g + 13. Given that m = 6, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 3 to f, which gives f = e + 16.\n2. Substitute e = i + 5 to f, which gives f = i + 21.\n3. Substitute i = z + 20 to f, which gives f = z + 41.\n4. Substitute z = a + 19 to f, which gives f = a + 60.\n5. Substitute a = m + 20 to f, which gives f = m + 80.\n6. Substitute m = 6 to f, which gives f = 86.\n\nThus, the final answer is f = \\boxed{86}.",
"index": 24220,
"question": "Suppose a collection of variables is related by the following definitions: j = o + 6; i = z + 20; a = m + 20; x = j + 17; z = a + 19; y = x + 16; e = i + 5; g = e + 3; w = m + 17; o = w + 16; m = 6; v = y + 5; f = g + 13. Given that m = 6, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"m": "c + 1", "j": "m + 4", "q": "j + 6", "d": "q + 14", "x": "d + 12", "t": "x + 13", "s": "c + 20", "i": "s + 10", "k": "i + 1", "r": "k + 1", "v": "r + 12", "a": "v + 14", "c": 14}, "premises": {"c": 14}, "target": "t"}, "answer": {"steps": [["x", "d + 12", "d + 25"], ["d", "q + 14", "q + 39"], ["q", "j + 6", "j + 45"], ["j", "m + 4", "m + 49"], ["m", "c + 1", "c + 50"], ["c", 14, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"c": 14}, "is_reverse": true}}
| 24,221
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = c + 20; m = c + 1; c = 14; d = q + 14; v = r + 12; t = x + 13; r = k + 1; i = s + 10; a = v + 14; x = d + 12; k = i + 1; j = m + 4; q = j + 6. Given that c = 14, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 12 to t, which gives t = d + 25.\n2. Substitute d = q + 14 to t, which gives t = q + 39.\n3. Substitute q = j + 6 to t, which gives t = j + 45.\n4. Substitute j = m + 4 to t, which gives t = m + 49.\n5. Substitute m = c + 1 to t, which gives t = c + 50.\n6. Substitute c = 14 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 24221,
"question": "Suppose a collection of variables is related by the following definitions: s = c + 20; m = c + 1; c = 14; d = q + 14; v = r + 12; t = x + 13; r = k + 1; i = s + 10; a = v + 14; x = d + 12; k = i + 1; j = m + 4; q = j + 6. Given that c = 14, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"a": "g + 12", "y": "a + 10", "i": "y + 3", "e": "i + 10", "s": "e + 3", "c": "s + 1", "j": "g + 11", "v": "j + 14", "w": "v + 9", "u": "w + 16", "o": "u + 2", "b": "o + 13", "g": 1}, "premises": {"g": 1}, "target": "c"}, "answer": {"steps": [["s", "e + 3", "e + 4"], ["e", "i + 10", "i + 14"], ["i", "y + 3", "y + 17"], ["y", "a + 10", "a + 27"], ["a", "g + 12", "g + 39"], ["g", 1, "40"]], "target_var_name": "c", "target_value": 40, "value_dict": {"g": 1}, "is_reverse": true}}
| 24,222
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 12; g = 1; b = o + 13; v = j + 14; i = y + 3; c = s + 1; y = a + 10; s = e + 3; j = g + 11; u = w + 16; o = u + 2; e = i + 10; w = v + 9. If g = 1, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 3 to c, which gives c = e + 4.\n2. Substitute e = i + 10 to c, which gives c = i + 14.\n3. Substitute i = y + 3 to c, which gives c = y + 17.\n4. Substitute y = a + 10 to c, which gives c = a + 27.\n5. Substitute a = g + 12 to c, which gives c = g + 39.\n6. Substitute g = 1 to c, which gives c = 40.\n\nThus, the final answer is c = \\boxed{40}.",
"index": 24222,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 12; g = 1; b = o + 13; v = j + 14; i = y + 3; c = s + 1; y = a + 10; s = e + 3; j = g + 11; u = w + 16; o = u + 2; e = i + 10; w = v + 9. If g = 1, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"k": "g + 19", "h": "k + 17", "y": "h + 3", "a": "y + 1", "f": "a + 8", "t": "f + 8", "c": "g + 19", "m": "c + 15", "z": "m + 17", "u": "z + 19", "i": "u + 6", "e": "i + 8", "g": 16}, "premises": {"g": 16}, "target": "t"}, "answer": {"steps": [["f", "a + 8", "a + 16"], ["a", "y + 1", "y + 17"], ["y", "h + 3", "h + 20"], ["h", "k + 17", "k + 37"], ["k", "g + 19", "g + 56"], ["g", 16, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"g": 16}, "is_reverse": true}}
| 24,223
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = g + 19; m = c + 15; i = u + 6; f = a + 8; a = y + 1; u = z + 19; g = 16; e = i + 8; z = m + 17; c = g + 19; t = f + 8; h = k + 17; y = h + 3. Given that g = 16, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 8 to t, which gives t = a + 16.\n2. Substitute a = y + 1 to t, which gives t = y + 17.\n3. Substitute y = h + 3 to t, which gives t = h + 20.\n4. Substitute h = k + 17 to t, which gives t = k + 37.\n5. Substitute k = g + 19 to t, which gives t = g + 56.\n6. Substitute g = 16 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 24223,
"question": "Suppose a collection of variables is related by the following definitions: k = g + 19; m = c + 15; i = u + 6; f = a + 8; a = y + 1; u = z + 19; g = 16; e = i + 8; z = m + 17; c = g + 19; t = f + 8; h = k + 17; y = h + 3. Given that g = 16, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"w": "r + 20", "h": "w + 11", "i": "h + 18", "v": "i + 6", "n": "v + 13", "l": "n + 16", "y": "r + 16", "q": "y + 18", "d": "q + 14", "t": "d + 7", "a": "t + 11", "b": "a + 10", "r": 4}, "premises": {"r": 4}, "target": "l"}, "answer": {"steps": [["n", "v + 13", "v + 29"], ["v", "i + 6", "i + 35"], ["i", "h + 18", "h + 53"], ["h", "w + 11", "w + 64"], ["w", "r + 20", "r + 84"], ["r", 4, "88"]], "target_var_name": "l", "target_value": 88, "value_dict": {"r": 4}, "is_reverse": true}}
| 24,224
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = r + 16; a = t + 11; r = 4; d = q + 14; l = n + 16; w = r + 20; t = d + 7; h = w + 11; b = a + 10; n = v + 13; v = i + 6; i = h + 18; q = y + 18. If r = 4, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 13 to l, which gives l = v + 29.\n2. Substitute v = i + 6 to l, which gives l = i + 35.\n3. Substitute i = h + 18 to l, which gives l = h + 53.\n4. Substitute h = w + 11 to l, which gives l = w + 64.\n5. Substitute w = r + 20 to l, which gives l = r + 84.\n6. Substitute r = 4 to l, which gives l = 88.\n\nThus, the final answer is l = \\boxed{88}.",
"index": 24224,
"question": "Consider a system of variables where each variable is defined as follows: y = r + 16; a = t + 11; r = 4; d = q + 14; l = n + 16; w = r + 20; t = d + 7; h = w + 11; b = a + 10; n = v + 13; v = i + 6; i = h + 18; q = y + 18. If r = 4, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"k": "l + 5", "b": "k + 15", "p": "b + 10", "z": "p + 1", "d": "z + 9", "m": "d + 11", "o": "l + 4", "s": "o + 19", "v": "s + 7", "y": "v + 7", "c": "y + 3", "a": "c + 6", "l": 16}, "premises": {"l": 16}, "target": "m"}, "answer": {"steps": [["d", "z + 9", "z + 20"], ["z", "p + 1", "p + 21"], ["p", "b + 10", "b + 31"], ["b", "k + 15", "k + 46"], ["k", "l + 5", "l + 51"], ["l", 16, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"l": 16}, "is_reverse": true}}
| 24,225
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = s + 7; b = k + 15; k = l + 5; c = y + 3; a = c + 6; l = 16; y = v + 7; m = d + 11; p = b + 10; z = p + 1; d = z + 9; s = o + 19; o = l + 4. If l = 16, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 9 to m, which gives m = z + 20.\n2. Substitute z = p + 1 to m, which gives m = p + 21.\n3. Substitute p = b + 10 to m, which gives m = b + 31.\n4. Substitute b = k + 15 to m, which gives m = k + 46.\n5. Substitute k = l + 5 to m, which gives m = l + 51.\n6. Substitute l = 16 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 24225,
"question": "Consider a system of variables where each variable is defined as follows: v = s + 7; b = k + 15; k = l + 5; c = y + 3; a = c + 6; l = 16; y = v + 7; m = d + 11; p = b + 10; z = p + 1; d = z + 9; s = o + 19; o = l + 4. If l = 16, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"u": "g + 18", "s": "u + 3", "z": "s + 3", "r": "z + 13", "i": "r + 2", "v": "i + 1", "n": "g + 12", "e": "n + 18", "l": "e + 10", "o": "l + 9", "m": "o + 8", "k": "m + 20", "g": 4}, "premises": {"g": 4}, "target": "v"}, "answer": {"steps": [["i", "r + 2", "r + 3"], ["r", "z + 13", "z + 16"], ["z", "s + 3", "s + 19"], ["s", "u + 3", "u + 22"], ["u", "g + 18", "g + 40"], ["g", 4, "44"]], "target_var_name": "v", "target_value": 44, "value_dict": {"g": 4}, "is_reverse": true}}
| 24,226
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 13; o = l + 9; v = i + 1; e = n + 18; l = e + 10; s = u + 3; m = o + 8; g = 4; u = g + 18; k = m + 20; z = s + 3; i = r + 2; n = g + 12. If g = 4, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 2 to v, which gives v = r + 3.\n2. Substitute r = z + 13 to v, which gives v = z + 16.\n3. Substitute z = s + 3 to v, which gives v = s + 19.\n4. Substitute s = u + 3 to v, which gives v = u + 22.\n5. Substitute u = g + 18 to v, which gives v = g + 40.\n6. Substitute g = 4 to v, which gives v = 44.\n\nThus, the final answer is v = \\boxed{44}.",
"index": 24226,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 13; o = l + 9; v = i + 1; e = n + 18; l = e + 10; s = u + 3; m = o + 8; g = 4; u = g + 18; k = m + 20; z = s + 3; i = r + 2; n = g + 12. If g = 4, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"t": "c + 10", "a": "t + 18", "w": "a + 9", "z": "w + 14", "o": "z + 2", "n": "o + 12", "v": "c + 20", "m": "v + 1", "j": "m + 2", "y": "j + 15", "g": "y + 15", "k": "g + 3", "c": 8}, "premises": {"c": 8}, "target": "n"}, "answer": {"steps": [["o", "z + 2", "z + 14"], ["z", "w + 14", "w + 28"], ["w", "a + 9", "a + 37"], ["a", "t + 18", "t + 55"], ["t", "c + 10", "c + 65"], ["c", 8, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"c": 8}, "is_reverse": true}}
| 24,227
| 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 = c + 20; a = t + 18; c = 8; y = j + 15; m = v + 1; z = w + 14; n = o + 12; k = g + 3; w = a + 9; o = z + 2; j = m + 2; g = y + 15; t = c + 10. If c = 8, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = z + 2 to n, which gives n = z + 14.\n2. Substitute z = w + 14 to n, which gives n = w + 28.\n3. Substitute w = a + 9 to n, which gives n = a + 37.\n4. Substitute a = t + 18 to n, which gives n = t + 55.\n5. Substitute t = c + 10 to n, which gives n = c + 65.\n6. Substitute c = 8 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 24227,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 20; a = t + 18; c = 8; y = j + 15; m = v + 1; z = w + 14; n = o + 12; k = g + 3; w = a + 9; o = z + 2; j = m + 2; g = y + 15; t = c + 10. If c = 8, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"u": "w + 12", "d": "u + 14", "c": "d + 6", "q": "c + 8", "s": "q + 13", "k": "s + 6", "h": "w + 3", "e": "h + 15", "v": "e + 4", "z": "v + 9", "n": "z + 19", "b": "n + 18", "w": 15}, "premises": {"w": 15}, "target": "k"}, "answer": {"steps": [["s", "q + 13", "q + 19"], ["q", "c + 8", "c + 27"], ["c", "d + 6", "d + 33"], ["d", "u + 14", "u + 47"], ["u", "w + 12", "w + 59"], ["w", 15, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"w": 15}, "is_reverse": true}}
| 24,228
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = v + 9; h = w + 3; b = n + 18; e = h + 15; d = u + 14; w = 15; k = s + 6; s = q + 13; u = w + 12; q = c + 8; n = z + 19; c = d + 6; v = e + 4. Given that w = 15, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 13 to k, which gives k = q + 19.\n2. Substitute q = c + 8 to k, which gives k = c + 27.\n3. Substitute c = d + 6 to k, which gives k = d + 33.\n4. Substitute d = u + 14 to k, which gives k = u + 47.\n5. Substitute u = w + 12 to k, which gives k = w + 59.\n6. Substitute w = 15 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 24228,
"question": "Suppose a collection of variables is related by the following definitions: z = v + 9; h = w + 3; b = n + 18; e = h + 15; d = u + 14; w = 15; k = s + 6; s = q + 13; u = w + 12; q = c + 8; n = z + 19; c = d + 6; v = e + 4. Given that w = 15, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"q": "o + 14", "y": "q + 12", "e": "y + 11", "d": "e + 12", "h": "d + 17", "k": "h + 5", "n": "o + 7", "l": "n + 1", "t": "l + 4", "w": "t + 4", "s": "w + 10", "j": "s + 15", "o": 18}, "premises": {"o": 18}, "target": "k"}, "answer": {"steps": [["h", "d + 17", "d + 22"], ["d", "e + 12", "e + 34"], ["e", "y + 11", "y + 45"], ["y", "q + 12", "q + 57"], ["q", "o + 14", "o + 71"], ["o", 18, "89"]], "target_var_name": "k", "target_value": 89, "value_dict": {"o": 18}, "is_reverse": true}}
| 24,229
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = y + 11; d = e + 12; y = q + 12; o = 18; s = w + 10; h = d + 17; t = l + 4; n = o + 7; q = o + 14; l = n + 1; j = s + 15; k = h + 5; w = t + 4. If o = 18, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 17 to k, which gives k = d + 22.\n2. Substitute d = e + 12 to k, which gives k = e + 34.\n3. Substitute e = y + 11 to k, which gives k = y + 45.\n4. Substitute y = q + 12 to k, which gives k = q + 57.\n5. Substitute q = o + 14 to k, which gives k = o + 71.\n6. Substitute o = 18 to k, which gives k = 89.\n\nThus, the final answer is k = \\boxed{89}.",
"index": 24229,
"question": "Consider a system of variables where each variable is defined as follows: e = y + 11; d = e + 12; y = q + 12; o = 18; s = w + 10; h = d + 17; t = l + 4; n = o + 7; q = o + 14; l = n + 1; j = s + 15; k = h + 5; w = t + 4. If o = 18, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"x": "o + 4", "n": "x + 4", "g": "n + 16", "w": "g + 19", "f": "w + 11", "p": "f + 2", "e": "o + 11", "y": "e + 6", "j": "y + 13", "i": "j + 13", "c": "i + 16", "m": "c + 1", "o": 13}, "premises": {"o": 13}, "target": "p"}, "answer": {"steps": [["f", "w + 11", "w + 13"], ["w", "g + 19", "g + 32"], ["g", "n + 16", "n + 48"], ["n", "x + 4", "x + 52"], ["x", "o + 4", "o + 56"], ["o", 13, "69"]], "target_var_name": "p", "target_value": 69, "value_dict": {"o": 13}, "is_reverse": true}}
| 24,230
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = g + 19; g = n + 16; n = x + 4; c = i + 16; i = j + 13; f = w + 11; y = e + 6; p = f + 2; m = c + 1; x = o + 4; e = o + 11; o = 13; j = y + 13. Given that o = 13, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 11 to p, which gives p = w + 13.\n2. Substitute w = g + 19 to p, which gives p = g + 32.\n3. Substitute g = n + 16 to p, which gives p = n + 48.\n4. Substitute n = x + 4 to p, which gives p = x + 52.\n5. Substitute x = o + 4 to p, which gives p = o + 56.\n6. Substitute o = 13 to p, which gives p = 69.\n\nThus, the final answer is p = \\boxed{69}.",
"index": 24230,
"question": "Suppose a collection of variables is related by the following definitions: w = g + 19; g = n + 16; n = x + 4; c = i + 16; i = j + 13; f = w + 11; y = e + 6; p = f + 2; m = c + 1; x = o + 4; e = o + 11; o = 13; j = y + 13. Given that o = 13, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"w": "n + 3", "u": "w + 1", "s": "u + 18", "z": "s + 4", "i": "z + 18", "c": "i + 10", "o": "n + 8", "h": "o + 19", "q": "h + 9", "d": "q + 8", "r": "d + 2", "v": "r + 6", "n": 17}, "premises": {"n": 17}, "target": "c"}, "answer": {"steps": [["i", "z + 18", "z + 28"], ["z", "s + 4", "s + 32"], ["s", "u + 18", "u + 50"], ["u", "w + 1", "w + 51"], ["w", "n + 3", "n + 54"], ["n", 17, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"n": 17}, "is_reverse": true}}
| 24,231
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = h + 9; o = n + 8; d = q + 8; z = s + 4; v = r + 6; u = w + 1; i = z + 18; h = o + 19; c = i + 10; n = 17; w = n + 3; s = u + 18; r = d + 2. Given that n = 17, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 18 to c, which gives c = z + 28.\n2. Substitute z = s + 4 to c, which gives c = s + 32.\n3. Substitute s = u + 18 to c, which gives c = u + 50.\n4. Substitute u = w + 1 to c, which gives c = w + 51.\n5. Substitute w = n + 3 to c, which gives c = n + 54.\n6. Substitute n = 17 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 24231,
"question": "Suppose a collection of variables is related by the following definitions: q = h + 9; o = n + 8; d = q + 8; z = s + 4; v = r + 6; u = w + 1; i = z + 18; h = o + 19; c = i + 10; n = 17; w = n + 3; s = u + 18; r = d + 2. Given that n = 17, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"w": "x + 19", "j": "w + 6", "t": "j + 15", "v": "t + 6", "s": "v + 1", "b": "s + 15", "p": "x + 19", "d": "p + 4", "h": "d + 8", "u": "h + 7", "z": "u + 11", "n": "z + 2", "x": 2}, "premises": {"x": 2}, "target": "b"}, "answer": {"steps": [["s", "v + 1", "v + 16"], ["v", "t + 6", "t + 22"], ["t", "j + 15", "j + 37"], ["j", "w + 6", "w + 43"], ["w", "x + 19", "x + 62"], ["x", 2, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"x": 2}, "is_reverse": true}}
| 24,232
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = s + 15; z = u + 11; d = p + 4; u = h + 7; n = z + 2; p = x + 19; s = v + 1; h = d + 8; v = t + 6; j = w + 6; t = j + 15; x = 2; w = x + 19. Given that x = 2, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 1 to b, which gives b = v + 16.\n2. Substitute v = t + 6 to b, which gives b = t + 22.\n3. Substitute t = j + 15 to b, which gives b = j + 37.\n4. Substitute j = w + 6 to b, which gives b = w + 43.\n5. Substitute w = x + 19 to b, which gives b = x + 62.\n6. Substitute x = 2 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 24232,
"question": "Suppose a collection of variables is related by the following definitions: b = s + 15; z = u + 11; d = p + 4; u = h + 7; n = z + 2; p = x + 19; s = v + 1; h = d + 8; v = t + 6; j = w + 6; t = j + 15; x = 2; w = x + 19. Given that x = 2, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"q": "m + 14", "l": "q + 17", "i": "l + 18", "e": "i + 19", "w": "e + 12", "n": "w + 17", "c": "m + 8", "r": "c + 13", "f": "r + 19", "h": "f + 5", "s": "h + 4", "v": "s + 18", "m": 9}, "premises": {"m": 9}, "target": "n"}, "answer": {"steps": [["w", "e + 12", "e + 29"], ["e", "i + 19", "i + 48"], ["i", "l + 18", "l + 66"], ["l", "q + 17", "q + 83"], ["q", "m + 14", "m + 97"], ["m", 9, "106"]], "target_var_name": "n", "target_value": 106, "value_dict": {"m": 9}, "is_reverse": true}}
| 24,233
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = q + 17; w = e + 12; c = m + 8; s = h + 4; h = f + 5; v = s + 18; i = l + 18; r = c + 13; e = i + 19; m = 9; n = w + 17; f = r + 19; q = m + 14. Given that m = 9, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 12 to n, which gives n = e + 29.\n2. Substitute e = i + 19 to n, which gives n = i + 48.\n3. Substitute i = l + 18 to n, which gives n = l + 66.\n4. Substitute l = q + 17 to n, which gives n = q + 83.\n5. Substitute q = m + 14 to n, which gives n = m + 97.\n6. Substitute m = 9 to n, which gives n = 106.\n\nThus, the final answer is n = \\boxed{106}.",
"index": 24233,
"question": "Suppose a collection of variables is related by the following definitions: l = q + 17; w = e + 12; c = m + 8; s = h + 4; h = f + 5; v = s + 18; i = l + 18; r = c + 13; e = i + 19; m = 9; n = w + 17; f = r + 19; q = m + 14. Given that m = 9, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"n": "m + 15", "w": "n + 2", "h": "w + 9", "d": "h + 15", "t": "d + 15", "y": "t + 16", "r": "m + 10", "f": "r + 10", "z": "f + 15", "x": "z + 8", "l": "x + 5", "u": "l + 11", "m": 8}, "premises": {"m": 8}, "target": "y"}, "answer": {"steps": [["t", "d + 15", "d + 31"], ["d", "h + 15", "h + 46"], ["h", "w + 9", "w + 55"], ["w", "n + 2", "n + 57"], ["n", "m + 15", "m + 72"], ["m", 8, "80"]], "target_var_name": "y", "target_value": 80, "value_dict": {"m": 8}, "is_reverse": true}}
| 24,234
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = m + 15; w = n + 2; r = m + 10; t = d + 15; u = l + 11; x = z + 8; z = f + 15; l = x + 5; f = r + 10; h = w + 9; d = h + 15; m = 8; y = t + 16. Given that m = 8, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 15 to y, which gives y = d + 31.\n2. Substitute d = h + 15 to y, which gives y = h + 46.\n3. Substitute h = w + 9 to y, which gives y = w + 55.\n4. Substitute w = n + 2 to y, which gives y = n + 57.\n5. Substitute n = m + 15 to y, which gives y = m + 72.\n6. Substitute m = 8 to y, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 24234,
"question": "Suppose a collection of variables is related by the following definitions: n = m + 15; w = n + 2; r = m + 10; t = d + 15; u = l + 11; x = z + 8; z = f + 15; l = x + 5; f = r + 10; h = w + 9; d = h + 15; m = 8; y = t + 16. Given that m = 8, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"o": "c + 14", "p": "o + 11", "l": "p + 5", "h": "l + 14", "n": "h + 17", "i": "n + 3", "u": "c + 6", "g": "u + 18", "w": "g + 12", "t": "w + 6", "y": "t + 13", "j": "y + 1", "c": 1}, "premises": {"c": 1}, "target": "i"}, "answer": {"steps": [["n", "h + 17", "h + 20"], ["h", "l + 14", "l + 34"], ["l", "p + 5", "p + 39"], ["p", "o + 11", "o + 50"], ["o", "c + 14", "c + 64"], ["c", 1, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"c": 1}, "is_reverse": true}}
| 24,235
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = h + 17; p = o + 11; g = u + 18; y = t + 13; h = l + 14; l = p + 5; j = y + 1; t = w + 6; w = g + 12; o = c + 14; c = 1; i = n + 3; u = c + 6. If c = 1, determine the 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 n = h + 17 to i, which gives i = h + 20.\n2. Substitute h = l + 14 to i, which gives i = l + 34.\n3. Substitute l = p + 5 to i, which gives i = p + 39.\n4. Substitute p = o + 11 to i, which gives i = o + 50.\n5. Substitute o = c + 14 to i, which gives i = c + 64.\n6. Substitute c = 1 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 24235,
"question": "Consider a system of variables where each variable is defined as follows: n = h + 17; p = o + 11; g = u + 18; y = t + 13; h = l + 14; l = p + 5; j = y + 1; t = w + 6; w = g + 12; o = c + 14; c = 1; i = n + 3; u = c + 6. If c = 1, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"g": "t + 8", "s": "g + 16", "q": "s + 15", "a": "q + 17", "v": "a + 8", "b": "v + 13", "k": "t + 6", "w": "k + 12", "r": "w + 1", "d": "r + 19", "u": "d + 12", "z": "u + 13", "t": 10}, "premises": {"t": 10}, "target": "b"}, "answer": {"steps": [["v", "a + 8", "a + 21"], ["a", "q + 17", "q + 38"], ["q", "s + 15", "s + 53"], ["s", "g + 16", "g + 69"], ["g", "t + 8", "t + 77"], ["t", 10, "87"]], "target_var_name": "b", "target_value": 87, "value_dict": {"t": 10}, "is_reverse": true}}
| 24,236
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = w + 1; s = g + 16; v = a + 8; u = d + 12; g = t + 8; a = q + 17; b = v + 13; z = u + 13; k = t + 6; d = r + 19; t = 10; q = s + 15; w = k + 12. Given that t = 10, find 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 v = a + 8 to b, which gives b = a + 21.\n2. Substitute a = q + 17 to b, which gives b = q + 38.\n3. Substitute q = s + 15 to b, which gives b = s + 53.\n4. Substitute s = g + 16 to b, which gives b = g + 69.\n5. Substitute g = t + 8 to b, which gives b = t + 77.\n6. Substitute t = 10 to b, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 24236,
"question": "Suppose a collection of variables is related by the following definitions: r = w + 1; s = g + 16; v = a + 8; u = d + 12; g = t + 8; a = q + 17; b = v + 13; z = u + 13; k = t + 6; d = r + 19; t = 10; q = s + 15; w = k + 12. Given that t = 10, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"s": "e + 8", "n": "s + 11", "x": "n + 19", "m": "x + 1", "u": "m + 3", "a": "u + 8", "y": "e + 12", "o": "y + 12", "i": "o + 3", "w": "i + 2", "v": "w + 7", "z": "v + 19", "e": 18}, "premises": {"e": 18}, "target": "a"}, "answer": {"steps": [["u", "m + 3", "m + 11"], ["m", "x + 1", "x + 12"], ["x", "n + 19", "n + 31"], ["n", "s + 11", "s + 42"], ["s", "e + 8", "e + 50"], ["e", 18, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"e": 18}, "is_reverse": true}}
| 24,237
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = o + 3; z = v + 19; e = 18; v = w + 7; m = x + 1; x = n + 19; o = y + 12; n = s + 11; a = u + 8; u = m + 3; y = e + 12; w = i + 2; s = e + 8. If e = 18, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 3 to a, which gives a = m + 11.\n2. Substitute m = x + 1 to a, which gives a = x + 12.\n3. Substitute x = n + 19 to a, which gives a = n + 31.\n4. Substitute n = s + 11 to a, which gives a = s + 42.\n5. Substitute s = e + 8 to a, which gives a = e + 50.\n6. Substitute e = 18 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 24237,
"question": "Consider a system of variables where each variable is defined as follows: i = o + 3; z = v + 19; e = 18; v = w + 7; m = x + 1; x = n + 19; o = y + 12; n = s + 11; a = u + 8; u = m + 3; y = e + 12; w = i + 2; s = e + 8. If e = 18, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"v": "o + 1", "h": "v + 5", "t": "h + 18", "p": "t + 10", "f": "p + 11", "u": "f + 3", "n": "o + 14", "e": "n + 4", "m": "e + 13", "s": "m + 3", "d": "s + 16", "l": "d + 19", "o": 10}, "premises": {"o": 10}, "target": "u"}, "answer": {"steps": [["f", "p + 11", "p + 14"], ["p", "t + 10", "t + 24"], ["t", "h + 18", "h + 42"], ["h", "v + 5", "v + 47"], ["v", "o + 1", "o + 48"], ["o", 10, "58"]], "target_var_name": "u", "target_value": 58, "value_dict": {"o": 10}, "is_reverse": true}}
| 24,238
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 13; n = o + 14; f = p + 11; u = f + 3; p = t + 10; t = h + 18; v = o + 1; h = v + 5; d = s + 16; l = d + 19; s = m + 3; o = 10; e = n + 4. If o = 10, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 11 to u, which gives u = p + 14.\n2. Substitute p = t + 10 to u, which gives u = t + 24.\n3. Substitute t = h + 18 to u, which gives u = h + 42.\n4. Substitute h = v + 5 to u, which gives u = v + 47.\n5. Substitute v = o + 1 to u, which gives u = o + 48.\n6. Substitute o = 10 to u, which gives u = 58.\n\nThus, the final answer is u = \\boxed{58}.",
"index": 24238,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 13; n = o + 14; f = p + 11; u = f + 3; p = t + 10; t = h + 18; v = o + 1; h = v + 5; d = s + 16; l = d + 19; s = m + 3; o = 10; e = n + 4. If o = 10, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"g": "t + 18", "i": "g + 7", "r": "i + 3", "l": "r + 18", "s": "l + 2", "f": "s + 3", "v": "t + 18", "n": "v + 6", "z": "n + 16", "h": "z + 11", "p": "h + 11", "y": "p + 19", "t": 5}, "premises": {"t": 5}, "target": "f"}, "answer": {"steps": [["s", "l + 2", "l + 5"], ["l", "r + 18", "r + 23"], ["r", "i + 3", "i + 26"], ["i", "g + 7", "g + 33"], ["g", "t + 18", "t + 51"], ["t", 5, "56"]], "target_var_name": "f", "target_value": 56, "value_dict": {"t": 5}, "is_reverse": true}}
| 24,239
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = t + 18; l = r + 18; r = i + 3; h = z + 11; s = l + 2; i = g + 7; f = s + 3; v = t + 18; p = h + 11; y = p + 19; t = 5; n = v + 6; z = n + 16. If t = 5, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 2 to f, which gives f = l + 5.\n2. Substitute l = r + 18 to f, which gives f = r + 23.\n3. Substitute r = i + 3 to f, which gives f = i + 26.\n4. Substitute i = g + 7 to f, which gives f = g + 33.\n5. Substitute g = t + 18 to f, which gives f = t + 51.\n6. Substitute t = 5 to f, which gives f = 56.\n\nThus, the final answer is f = \\boxed{56}.",
"index": 24239,
"question": "Consider a system of variables where each variable is defined as follows: g = t + 18; l = r + 18; r = i + 3; h = z + 11; s = l + 2; i = g + 7; f = s + 3; v = t + 18; p = h + 11; y = p + 19; t = 5; n = v + 6; z = n + 16. If t = 5, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"x": "z + 18", "d": "x + 6", "t": "d + 2", "y": "t + 15", "p": "y + 10", "w": "p + 19", "u": "z + 16", "m": "u + 19", "i": "m + 12", "v": "i + 19", "l": "v + 13", "a": "l + 9", "z": 12}, "premises": {"z": 12}, "target": "w"}, "answer": {"steps": [["p", "y + 10", "y + 29"], ["y", "t + 15", "t + 44"], ["t", "d + 2", "d + 46"], ["d", "x + 6", "x + 52"], ["x", "z + 18", "z + 70"], ["z", 12, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"z": 12}, "is_reverse": true}}
| 24,240
| 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 = z + 16; y = t + 15; t = d + 2; i = m + 12; d = x + 6; v = i + 19; m = u + 19; a = l + 9; l = v + 13; x = z + 18; p = y + 10; w = p + 19; z = 12. If z = 12, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 10 to w, which gives w = y + 29.\n2. Substitute y = t + 15 to w, which gives w = t + 44.\n3. Substitute t = d + 2 to w, which gives w = d + 46.\n4. Substitute d = x + 6 to w, which gives w = x + 52.\n5. Substitute x = z + 18 to w, which gives w = z + 70.\n6. Substitute z = 12 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 24240,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = z + 16; y = t + 15; t = d + 2; i = m + 12; d = x + 6; v = i + 19; m = u + 19; a = l + 9; l = v + 13; x = z + 18; p = y + 10; w = p + 19; z = 12. If z = 12, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 3", "d": "p + 17", "f": "d + 12", "n": "f + 6", "t": "n + 10", "z": "t + 3", "m": "x + 10", "v": "m + 3", "r": "v + 19", "k": "r + 9", "j": "k + 19", "a": "j + 4", "x": 8}, "premises": {"x": 8}, "target": "z"}, "answer": {"steps": [["t", "n + 10", "n + 13"], ["n", "f + 6", "f + 19"], ["f", "d + 12", "d + 31"], ["d", "p + 17", "p + 48"], ["p", "x + 3", "x + 51"], ["x", 8, "59"]], "target_var_name": "z", "target_value": 59, "value_dict": {"x": 8}, "is_reverse": true}}
| 24,241
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = 8; k = r + 9; t = n + 10; n = f + 6; r = v + 19; m = x + 10; j = k + 19; v = m + 3; d = p + 17; p = x + 3; z = t + 3; a = j + 4; f = d + 12. If x = 8, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 10 to z, which gives z = n + 13.\n2. Substitute n = f + 6 to z, which gives z = f + 19.\n3. Substitute f = d + 12 to z, which gives z = d + 31.\n4. Substitute d = p + 17 to z, which gives z = p + 48.\n5. Substitute p = x + 3 to z, which gives z = x + 51.\n6. Substitute x = 8 to z, which gives z = 59.\n\nThus, the final answer is z = \\boxed{59}.",
"index": 24241,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 8; k = r + 9; t = n + 10; n = f + 6; r = v + 19; m = x + 10; j = k + 19; v = m + 3; d = p + 17; p = x + 3; z = t + 3; a = j + 4; f = d + 12. If x = 8, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"l": "w + 12", "h": "l + 17", "j": "h + 3", "d": "j + 13", "y": "d + 8", "t": "y + 15", "f": "w + 13", "g": "f + 17", "e": "g + 9", "k": "e + 1", "p": "k + 1", "q": "p + 8", "w": 18}, "premises": {"w": 18}, "target": "t"}, "answer": {"steps": [["y", "d + 8", "d + 23"], ["d", "j + 13", "j + 36"], ["j", "h + 3", "h + 39"], ["h", "l + 17", "l + 56"], ["l", "w + 12", "w + 68"], ["w", 18, "86"]], "target_var_name": "t", "target_value": 86, "value_dict": {"w": 18}, "is_reverse": true}}
| 24,242
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = d + 8; h = l + 17; w = 18; t = y + 15; q = p + 8; f = w + 13; j = h + 3; l = w + 12; g = f + 17; k = e + 1; p = k + 1; e = g + 9; d = j + 13. If w = 18, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 8 to t, which gives t = d + 23.\n2. Substitute d = j + 13 to t, which gives t = j + 36.\n3. Substitute j = h + 3 to t, which gives t = h + 39.\n4. Substitute h = l + 17 to t, which gives t = l + 56.\n5. Substitute l = w + 12 to t, which gives t = w + 68.\n6. Substitute w = 18 to t, which gives t = 86.\n\nThus, the final answer is t = \\boxed{86}.",
"index": 24242,
"question": "Consider a system of variables where each variable is defined as follows: y = d + 8; h = l + 17; w = 18; t = y + 15; q = p + 8; f = w + 13; j = h + 3; l = w + 12; g = f + 17; k = e + 1; p = k + 1; e = g + 9; d = j + 13. If w = 18, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"z": "i + 8", "t": "z + 4", "k": "t + 7", "s": "k + 11", "q": "s + 13", "o": "q + 14", "y": "i + 10", "v": "y + 1", "n": "v + 17", "b": "n + 9", "h": "b + 3", "x": "h + 1", "i": 13}, "premises": {"i": 13}, "target": "o"}, "answer": {"steps": [["q", "s + 13", "s + 27"], ["s", "k + 11", "k + 38"], ["k", "t + 7", "t + 45"], ["t", "z + 4", "z + 49"], ["z", "i + 8", "i + 57"], ["i", 13, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"i": 13}, "is_reverse": true}}
| 24,243
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = v + 17; h = b + 3; t = z + 4; y = i + 10; b = n + 9; s = k + 11; x = h + 1; z = i + 8; k = t + 7; q = s + 13; i = 13; v = y + 1; o = q + 14. If i = 13, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 13 to o, which gives o = s + 27.\n2. Substitute s = k + 11 to o, which gives o = k + 38.\n3. Substitute k = t + 7 to o, which gives o = t + 45.\n4. Substitute t = z + 4 to o, which gives o = z + 49.\n5. Substitute z = i + 8 to o, which gives o = i + 57.\n6. Substitute i = 13 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 24243,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = v + 17; h = b + 3; t = z + 4; y = i + 10; b = n + 9; s = k + 11; x = h + 1; z = i + 8; k = t + 7; q = s + 13; i = 13; v = y + 1; o = q + 14. If i = 13, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"i": "n + 10", "r": "i + 19", "z": "r + 7", "d": "z + 2", "k": "d + 6", "u": "k + 9", "y": "n + 1", "c": "y + 15", "e": "c + 15", "o": "e + 7", "s": "o + 3", "p": "s + 19", "n": 1}, "premises": {"n": 1}, "target": "u"}, "answer": {"steps": [["k", "d + 6", "d + 15"], ["d", "z + 2", "z + 17"], ["z", "r + 7", "r + 24"], ["r", "i + 19", "i + 43"], ["i", "n + 10", "n + 53"], ["n", 1, "54"]], "target_var_name": "u", "target_value": 54, "value_dict": {"n": 1}, "is_reverse": true}}
| 24,244
| 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 = c + 15; u = k + 9; o = e + 7; c = y + 15; r = i + 19; y = n + 1; p = s + 19; d = z + 2; z = r + 7; k = d + 6; n = 1; s = o + 3; i = n + 10. If n = 1, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 6 to u, which gives u = d + 15.\n2. Substitute d = z + 2 to u, which gives u = z + 17.\n3. Substitute z = r + 7 to u, which gives u = r + 24.\n4. Substitute r = i + 19 to u, which gives u = i + 43.\n5. Substitute i = n + 10 to u, which gives u = n + 53.\n6. Substitute n = 1 to u, which gives u = 54.\n\nThus, the final answer is u = \\boxed{54}.",
"index": 24244,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = c + 15; u = k + 9; o = e + 7; c = y + 15; r = i + 19; y = n + 1; p = s + 19; d = z + 2; z = r + 7; k = d + 6; n = 1; s = o + 3; i = n + 10. If n = 1, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"b": "z + 6", "e": "b + 14", "n": "e + 1", "j": "n + 10", "t": "j + 5", "q": "t + 13", "d": "z + 8", "p": "d + 8", "k": "p + 1", "m": "k + 17", "i": "m + 12", "o": "i + 9", "z": 10}, "premises": {"z": 10}, "target": "q"}, "answer": {"steps": [["t", "j + 5", "j + 18"], ["j", "n + 10", "n + 28"], ["n", "e + 1", "e + 29"], ["e", "b + 14", "b + 43"], ["b", "z + 6", "z + 49"], ["z", 10, "59"]], "target_var_name": "q", "target_value": 59, "value_dict": {"z": 10}, "is_reverse": true}}
| 24,245
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = z + 6; e = b + 14; m = k + 17; o = i + 9; k = p + 1; p = d + 8; n = e + 1; z = 10; i = m + 12; j = n + 10; q = t + 13; t = j + 5; d = z + 8. Given that z = 10, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 5 to q, which gives q = j + 18.\n2. Substitute j = n + 10 to q, which gives q = n + 28.\n3. Substitute n = e + 1 to q, which gives q = e + 29.\n4. Substitute e = b + 14 to q, which gives q = b + 43.\n5. Substitute b = z + 6 to q, which gives q = z + 49.\n6. Substitute z = 10 to q, which gives q = 59.\n\nThus, the final answer is q = \\boxed{59}.",
"index": 24245,
"question": "Suppose a collection of variables is related by the following definitions: b = z + 6; e = b + 14; m = k + 17; o = i + 9; k = p + 1; p = d + 8; n = e + 1; z = 10; i = m + 12; j = n + 10; q = t + 13; t = j + 5; d = z + 8. Given that z = 10, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"i": "f + 13", "v": "i + 19", "c": "v + 20", "r": "c + 9", "t": "r + 11", "k": "t + 12", "h": "f + 8", "o": "h + 16", "z": "o + 3", "u": "z + 1", "a": "u + 3", "m": "a + 8", "f": 10}, "premises": {"f": 10}, "target": "k"}, "answer": {"steps": [["t", "r + 11", "r + 23"], ["r", "c + 9", "c + 32"], ["c", "v + 20", "v + 52"], ["v", "i + 19", "i + 71"], ["i", "f + 13", "f + 84"], ["f", 10, "94"]], "target_var_name": "k", "target_value": 94, "value_dict": {"f": 10}, "is_reverse": true}}
| 24,246
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 3; h = f + 8; k = t + 12; c = v + 20; f = 10; u = z + 1; i = f + 13; m = a + 8; o = h + 16; v = i + 19; t = r + 11; r = c + 9; z = o + 3. If f = 10, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 11 to k, which gives k = r + 23.\n2. Substitute r = c + 9 to k, which gives k = c + 32.\n3. Substitute c = v + 20 to k, which gives k = v + 52.\n4. Substitute v = i + 19 to k, which gives k = i + 71.\n5. Substitute i = f + 13 to k, which gives k = f + 84.\n6. Substitute f = 10 to k, which gives k = 94.\n\nThus, the final answer is k = \\boxed{94}.",
"index": 24246,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 3; h = f + 8; k = t + 12; c = v + 20; f = 10; u = z + 1; i = f + 13; m = a + 8; o = h + 16; v = i + 19; t = r + 11; r = c + 9; z = o + 3. If f = 10, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"h": "d + 17", "g": "h + 11", "b": "g + 20", "c": "b + 8", "t": "c + 16", "p": "t + 15", "q": "d + 8", "k": "q + 19", "o": "k + 19", "u": "o + 7", "l": "u + 18", "i": "l + 8", "d": 17}, "premises": {"d": 17}, "target": "p"}, "answer": {"steps": [["t", "c + 16", "c + 31"], ["c", "b + 8", "b + 39"], ["b", "g + 20", "g + 59"], ["g", "h + 11", "h + 70"], ["h", "d + 17", "d + 87"], ["d", 17, "104"]], "target_var_name": "p", "target_value": 104, "value_dict": {"d": 17}, "is_reverse": true}}
| 24,247
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = l + 8; u = o + 7; b = g + 20; q = d + 8; h = d + 17; p = t + 15; d = 17; t = c + 16; c = b + 8; k = q + 19; g = h + 11; o = k + 19; l = u + 18. If d = 17, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 16 to p, which gives p = c + 31.\n2. Substitute c = b + 8 to p, which gives p = b + 39.\n3. Substitute b = g + 20 to p, which gives p = g + 59.\n4. Substitute g = h + 11 to p, which gives p = h + 70.\n5. Substitute h = d + 17 to p, which gives p = d + 87.\n6. Substitute d = 17 to p, which gives p = 104.\n\nThus, the final answer is p = \\boxed{104}.",
"index": 24247,
"question": "Consider a system of variables where each variable is defined as follows: i = l + 8; u = o + 7; b = g + 20; q = d + 8; h = d + 17; p = t + 15; d = 17; t = c + 16; c = b + 8; k = q + 19; g = h + 11; o = k + 19; l = u + 18. If d = 17, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"c": "t + 18", "r": "c + 20", "w": "r + 17", "v": "w + 12", "i": "v + 1", "d": "i + 19", "y": "t + 19", "k": "y + 13", "p": "k + 20", "j": "p + 11", "l": "j + 4", "g": "l + 18", "t": 8}, "premises": {"t": 8}, "target": "d"}, "answer": {"steps": [["i", "v + 1", "v + 20"], ["v", "w + 12", "w + 32"], ["w", "r + 17", "r + 49"], ["r", "c + 20", "c + 69"], ["c", "t + 18", "t + 87"], ["t", 8, "95"]], "target_var_name": "d", "target_value": 95, "value_dict": {"t": 8}, "is_reverse": true}}
| 24,248
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = k + 20; w = r + 17; k = y + 13; t = 8; r = c + 20; j = p + 11; y = t + 19; i = v + 1; g = l + 18; l = j + 4; c = t + 18; v = w + 12; d = i + 19. If t = 8, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 1 to d, which gives d = v + 20.\n2. Substitute v = w + 12 to d, which gives d = w + 32.\n3. Substitute w = r + 17 to d, which gives d = r + 49.\n4. Substitute r = c + 20 to d, which gives d = c + 69.\n5. Substitute c = t + 18 to d, which gives d = t + 87.\n6. Substitute t = 8 to d, which gives d = 95.\n\nThus, the final answer is d = \\boxed{95}.",
"index": 24248,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = k + 20; w = r + 17; k = y + 13; t = 8; r = c + 20; j = p + 11; y = t + 19; i = v + 1; g = l + 18; l = j + 4; c = t + 18; v = w + 12; d = i + 19. If t = 8, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 3", "z": "e + 4", "s": "z + 6", "w": "s + 17", "m": "w + 6", "p": "m + 15", "q": "n + 1", "c": "q + 12", "g": "c + 19", "a": "g + 1", "u": "a + 11", "y": "u + 20", "n": 1}, "premises": {"n": 1}, "target": "p"}, "answer": {"steps": [["m", "w + 6", "w + 21"], ["w", "s + 17", "s + 38"], ["s", "z + 6", "z + 44"], ["z", "e + 4", "e + 48"], ["e", "n + 3", "n + 51"], ["n", 1, "52"]], "target_var_name": "p", "target_value": 52, "value_dict": {"n": 1}, "is_reverse": true}}
| 24,249
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = 1; g = c + 19; p = m + 15; q = n + 1; s = z + 6; z = e + 4; m = w + 6; u = a + 11; y = u + 20; e = n + 3; a = g + 1; w = s + 17; c = q + 12. If n = 1, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 6 to p, which gives p = w + 21.\n2. Substitute w = s + 17 to p, which gives p = s + 38.\n3. Substitute s = z + 6 to p, which gives p = z + 44.\n4. Substitute z = e + 4 to p, which gives p = e + 48.\n5. Substitute e = n + 3 to p, which gives p = n + 51.\n6. Substitute n = 1 to p, which gives p = 52.\n\nThus, the final answer is p = \\boxed{52}.",
"index": 24249,
"question": "Consider a system of variables where each variable is defined as follows: n = 1; g = c + 19; p = m + 15; q = n + 1; s = z + 6; z = e + 4; m = w + 6; u = a + 11; y = u + 20; e = n + 3; a = g + 1; w = s + 17; c = q + 12. If n = 1, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"d": "j + 9", "y": "d + 6", "w": "y + 8", "l": "w + 20", "u": "l + 2", "h": "u + 16", "r": "j + 1", "s": "r + 18", "a": "s + 19", "v": "a + 15", "p": "v + 16", "z": "p + 13", "j": 13}, "premises": {"j": 13}, "target": "h"}, "answer": {"steps": [["u", "l + 2", "l + 18"], ["l", "w + 20", "w + 38"], ["w", "y + 8", "y + 46"], ["y", "d + 6", "d + 52"], ["d", "j + 9", "j + 61"], ["j", 13, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"j": 13}, "is_reverse": true}}
| 24,250
| 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 = v + 16; l = w + 20; w = y + 8; j = 13; v = a + 15; s = r + 18; d = j + 9; z = p + 13; h = u + 16; r = j + 1; a = s + 19; u = l + 2; y = d + 6. If j = 13, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 2 to h, which gives h = l + 18.\n2. Substitute l = w + 20 to h, which gives h = w + 38.\n3. Substitute w = y + 8 to h, which gives h = y + 46.\n4. Substitute y = d + 6 to h, which gives h = d + 52.\n5. Substitute d = j + 9 to h, which gives h = j + 61.\n6. Substitute j = 13 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 24250,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = v + 16; l = w + 20; w = y + 8; j = 13; v = a + 15; s = r + 18; d = j + 9; z = p + 13; h = u + 16; r = j + 1; a = s + 19; u = l + 2; y = d + 6. If j = 13, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"j": "z + 12", "e": "j + 11", "s": "e + 12", "c": "s + 17", "x": "c + 4", "m": "x + 6", "h": "z + 17", "l": "h + 8", "o": "l + 16", "r": "o + 20", "k": "r + 3", "a": "k + 9", "z": 12}, "premises": {"z": 12}, "target": "m"}, "answer": {"steps": [["x", "c + 4", "c + 10"], ["c", "s + 17", "s + 27"], ["s", "e + 12", "e + 39"], ["e", "j + 11", "j + 50"], ["j", "z + 12", "z + 62"], ["z", 12, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"z": 12}, "is_reverse": true}}
| 24,251
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = z + 12; h = z + 17; r = o + 20; z = 12; c = s + 17; s = e + 12; l = h + 8; o = l + 16; e = j + 11; k = r + 3; a = k + 9; x = c + 4; m = x + 6. Given that z = 12, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 4 to m, which gives m = c + 10.\n2. Substitute c = s + 17 to m, which gives m = s + 27.\n3. Substitute s = e + 12 to m, which gives m = e + 39.\n4. Substitute e = j + 11 to m, which gives m = j + 50.\n5. Substitute j = z + 12 to m, which gives m = z + 62.\n6. Substitute z = 12 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 24251,
"question": "Suppose a collection of variables is related by the following definitions: j = z + 12; h = z + 17; r = o + 20; z = 12; c = s + 17; s = e + 12; l = h + 8; o = l + 16; e = j + 11; k = r + 3; a = k + 9; x = c + 4; m = x + 6. Given that z = 12, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"e": "w + 8", "o": "e + 14", "n": "o + 8", "i": "n + 19", "x": "i + 1", "g": "x + 13", "f": "w + 12", "p": "f + 3", "l": "p + 19", "k": "l + 10", "u": "k + 18", "j": "u + 5", "w": 2}, "premises": {"w": 2}, "target": "g"}, "answer": {"steps": [["x", "i + 1", "i + 14"], ["i", "n + 19", "n + 33"], ["n", "o + 8", "o + 41"], ["o", "e + 14", "e + 55"], ["e", "w + 8", "w + 63"], ["w", 2, "65"]], "target_var_name": "g", "target_value": 65, "value_dict": {"w": 2}, "is_reverse": true}}
| 24,252
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = e + 14; n = o + 8; j = u + 5; w = 2; x = i + 1; f = w + 12; g = x + 13; i = n + 19; l = p + 19; u = k + 18; k = l + 10; p = f + 3; e = w + 8. Given that w = 2, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 1 to g, which gives g = i + 14.\n2. Substitute i = n + 19 to g, which gives g = n + 33.\n3. Substitute n = o + 8 to g, which gives g = o + 41.\n4. Substitute o = e + 14 to g, which gives g = e + 55.\n5. Substitute e = w + 8 to g, which gives g = w + 63.\n6. Substitute w = 2 to g, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 24252,
"question": "Suppose a collection of variables is related by the following definitions: o = e + 14; n = o + 8; j = u + 5; w = 2; x = i + 1; f = w + 12; g = x + 13; i = n + 19; l = p + 19; u = k + 18; k = l + 10; p = f + 3; e = w + 8. Given that w = 2, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"e": "q + 15", "v": "e + 10", "u": "v + 14", "z": "u + 20", "a": "z + 6", "o": "a + 9", "l": "q + 9", "p": "l + 14", "g": "p + 6", "n": "g + 10", "r": "n + 12", "s": "r + 8", "q": 2}, "premises": {"q": 2}, "target": "o"}, "answer": {"steps": [["a", "z + 6", "z + 15"], ["z", "u + 20", "u + 35"], ["u", "v + 14", "v + 49"], ["v", "e + 10", "e + 59"], ["e", "q + 15", "q + 74"], ["q", 2, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"q": 2}, "is_reverse": true}}
| 24,253
| 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 = q + 15; z = u + 20; a = z + 6; n = g + 10; r = n + 12; v = e + 10; l = q + 9; q = 2; g = p + 6; o = a + 9; u = v + 14; p = l + 14; s = r + 8. If q = 2, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 6 to o, which gives o = z + 15.\n2. Substitute z = u + 20 to o, which gives o = u + 35.\n3. Substitute u = v + 14 to o, which gives o = v + 49.\n4. Substitute v = e + 10 to o, which gives o = e + 59.\n5. Substitute e = q + 15 to o, which gives o = q + 74.\n6. Substitute q = 2 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 24253,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = q + 15; z = u + 20; a = z + 6; n = g + 10; r = n + 12; v = e + 10; l = q + 9; q = 2; g = p + 6; o = a + 9; u = v + 14; p = l + 14; s = r + 8. If q = 2, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"q": "e + 20", "c": "q + 16", "t": "c + 9", "n": "t + 20", "i": "n + 18", "g": "i + 12", "w": "e + 20", "m": "w + 20", "r": "m + 18", "p": "r + 3", "u": "p + 19", "z": "u + 16", "e": 7}, "premises": {"e": 7}, "target": "g"}, "answer": {"steps": [["i", "n + 18", "n + 30"], ["n", "t + 20", "t + 50"], ["t", "c + 9", "c + 59"], ["c", "q + 16", "q + 75"], ["q", "e + 20", "e + 95"], ["e", 7, "102"]], "target_var_name": "g", "target_value": 102, "value_dict": {"e": 7}, "is_reverse": true}}
| 24,254
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = n + 18; t = c + 9; z = u + 16; p = r + 3; e = 7; m = w + 20; q = e + 20; c = q + 16; w = e + 20; r = m + 18; u = p + 19; g = i + 12; n = t + 20. Given that e = 7, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 18 to g, which gives g = n + 30.\n2. Substitute n = t + 20 to g, which gives g = t + 50.\n3. Substitute t = c + 9 to g, which gives g = c + 59.\n4. Substitute c = q + 16 to g, which gives g = q + 75.\n5. Substitute q = e + 20 to g, which gives g = e + 95.\n6. Substitute e = 7 to g, which gives g = 102.\n\nThus, the final answer is g = \\boxed{102}.",
"index": 24254,
"question": "Suppose a collection of variables is related by the following definitions: i = n + 18; t = c + 9; z = u + 16; p = r + 3; e = 7; m = w + 20; q = e + 20; c = q + 16; w = e + 20; r = m + 18; u = p + 19; g = i + 12; n = t + 20. Given that e = 7, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"p": "i + 13", "d": "p + 11", "b": "d + 2", "s": "b + 7", "k": "s + 13", "u": "k + 16", "h": "i + 1", "w": "h + 13", "l": "w + 2", "j": "l + 16", "q": "j + 17", "a": "q + 15", "i": 12}, "premises": {"i": 12}, "target": "u"}, "answer": {"steps": [["k", "s + 13", "s + 29"], ["s", "b + 7", "b + 36"], ["b", "d + 2", "d + 38"], ["d", "p + 11", "p + 49"], ["p", "i + 13", "i + 62"], ["i", 12, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"i": 12}, "is_reverse": true}}
| 24,255
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = 12; s = b + 7; a = q + 15; u = k + 16; j = l + 16; h = i + 1; k = s + 13; l = w + 2; d = p + 11; p = i + 13; q = j + 17; w = h + 13; b = d + 2. Given that i = 12, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 13 to u, which gives u = s + 29.\n2. Substitute s = b + 7 to u, which gives u = b + 36.\n3. Substitute b = d + 2 to u, which gives u = d + 38.\n4. Substitute d = p + 11 to u, which gives u = p + 49.\n5. Substitute p = i + 13 to u, which gives u = i + 62.\n6. Substitute i = 12 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 24255,
"question": "Suppose a collection of variables is related by the following definitions: i = 12; s = b + 7; a = q + 15; u = k + 16; j = l + 16; h = i + 1; k = s + 13; l = w + 2; d = p + 11; p = i + 13; q = j + 17; w = h + 13; b = d + 2. Given that i = 12, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"s": "u + 3", "o": "s + 3", "p": "o + 4", "t": "p + 13", "q": "t + 10", "e": "q + 12", "j": "u + 9", "h": "j + 20", "a": "h + 18", "l": "a + 17", "k": "l + 13", "z": "k + 8", "u": 9}, "premises": {"u": 9}, "target": "e"}, "answer": {"steps": [["q", "t + 10", "t + 22"], ["t", "p + 13", "p + 35"], ["p", "o + 4", "o + 39"], ["o", "s + 3", "s + 42"], ["s", "u + 3", "u + 45"], ["u", 9, "54"]], "target_var_name": "e", "target_value": 54, "value_dict": {"u": 9}, "is_reverse": true}}
| 24,256
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = k + 8; s = u + 3; p = o + 4; k = l + 13; t = p + 13; a = h + 18; u = 9; o = s + 3; j = u + 9; h = j + 20; q = t + 10; e = q + 12; l = a + 17. If u = 9, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 10 to e, which gives e = t + 22.\n2. Substitute t = p + 13 to e, which gives e = p + 35.\n3. Substitute p = o + 4 to e, which gives e = o + 39.\n4. Substitute o = s + 3 to e, which gives e = s + 42.\n5. Substitute s = u + 3 to e, which gives e = u + 45.\n6. Substitute u = 9 to e, which gives e = 54.\n\nThus, the final answer is e = \\boxed{54}.",
"index": 24256,
"question": "Consider a system of variables where each variable is defined as follows: z = k + 8; s = u + 3; p = o + 4; k = l + 13; t = p + 13; a = h + 18; u = 9; o = s + 3; j = u + 9; h = j + 20; q = t + 10; e = q + 12; l = a + 17. If u = 9, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"f": "m + 1", "q": "f + 9", "j": "q + 7", "c": "j + 2", "x": "c + 14", "s": "x + 13", "o": "m + 6", "n": "o + 16", "d": "n + 3", "y": "d + 5", "i": "y + 10", "z": "i + 7", "m": 14}, "premises": {"m": 14}, "target": "s"}, "answer": {"steps": [["x", "c + 14", "c + 27"], ["c", "j + 2", "j + 29"], ["j", "q + 7", "q + 36"], ["q", "f + 9", "f + 45"], ["f", "m + 1", "m + 46"], ["m", 14, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"m": 14}, "is_reverse": true}}
| 24,257
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = i + 7; y = d + 5; i = y + 10; c = j + 2; m = 14; d = n + 3; o = m + 6; q = f + 9; x = c + 14; s = x + 13; f = m + 1; n = o + 16; j = q + 7. If m = 14, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 14 to s, which gives s = c + 27.\n2. Substitute c = j + 2 to s, which gives s = j + 29.\n3. Substitute j = q + 7 to s, which gives s = q + 36.\n4. Substitute q = f + 9 to s, which gives s = f + 45.\n5. Substitute f = m + 1 to s, which gives s = m + 46.\n6. Substitute m = 14 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 24257,
"question": "Consider a system of variables where each variable is defined as follows: z = i + 7; y = d + 5; i = y + 10; c = j + 2; m = 14; d = n + 3; o = m + 6; q = f + 9; x = c + 14; s = x + 13; f = m + 1; n = o + 16; j = q + 7. If m = 14, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"s": "q + 14", "o": "s + 16", "j": "o + 1", "w": "j + 1", "d": "w + 18", "p": "d + 14", "a": "q + 5", "c": "a + 13", "z": "c + 15", "l": "z + 1", "g": "l + 6", "x": "g + 11", "q": 4}, "premises": {"q": 4}, "target": "p"}, "answer": {"steps": [["d", "w + 18", "w + 32"], ["w", "j + 1", "j + 33"], ["j", "o + 1", "o + 34"], ["o", "s + 16", "s + 50"], ["s", "q + 14", "q + 64"], ["q", 4, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"q": 4}, "is_reverse": true}}
| 24,258
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = s + 16; g = l + 6; z = c + 15; a = q + 5; x = g + 11; l = z + 1; c = a + 13; w = j + 1; j = o + 1; s = q + 14; d = w + 18; q = 4; p = d + 14. Given that q = 4, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 18 to p, which gives p = w + 32.\n2. Substitute w = j + 1 to p, which gives p = j + 33.\n3. Substitute j = o + 1 to p, which gives p = o + 34.\n4. Substitute o = s + 16 to p, which gives p = s + 50.\n5. Substitute s = q + 14 to p, which gives p = q + 64.\n6. Substitute q = 4 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 24258,
"question": "Suppose a collection of variables is related by the following definitions: o = s + 16; g = l + 6; z = c + 15; a = q + 5; x = g + 11; l = z + 1; c = a + 13; w = j + 1; j = o + 1; s = q + 14; d = w + 18; q = 4; p = d + 14. Given that q = 4, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"t": "v + 20", "f": "t + 16", "k": "f + 16", "c": "k + 17", "p": "c + 11", "u": "p + 9", "o": "v + 4", "w": "o + 17", "j": "w + 15", "s": "j + 1", "e": "s + 3", "z": "e + 16", "v": 14}, "premises": {"v": 14}, "target": "u"}, "answer": {"steps": [["p", "c + 11", "c + 20"], ["c", "k + 17", "k + 37"], ["k", "f + 16", "f + 53"], ["f", "t + 16", "t + 69"], ["t", "v + 20", "v + 89"], ["v", 14, "103"]], "target_var_name": "u", "target_value": 103, "value_dict": {"v": 14}, "is_reverse": true}}
| 24,259
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = v + 20; k = f + 16; j = w + 15; e = s + 3; p = c + 11; z = e + 16; c = k + 17; f = t + 16; w = o + 17; u = p + 9; s = j + 1; o = v + 4; v = 14. Given that v = 14, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 11 to u, which gives u = c + 20.\n2. Substitute c = k + 17 to u, which gives u = k + 37.\n3. Substitute k = f + 16 to u, which gives u = f + 53.\n4. Substitute f = t + 16 to u, which gives u = t + 69.\n5. Substitute t = v + 20 to u, which gives u = v + 89.\n6. Substitute v = 14 to u, which gives u = 103.\n\nThus, the final answer is u = \\boxed{103}.",
"index": 24259,
"question": "Suppose a collection of variables is related by the following definitions: t = v + 20; k = f + 16; j = w + 15; e = s + 3; p = c + 11; z = e + 16; c = k + 17; f = t + 16; w = o + 17; u = p + 9; s = j + 1; o = v + 4; v = 14. Given that v = 14, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"i": "f + 11", "t": "i + 8", "j": "t + 8", "e": "j + 9", "o": "e + 8", "c": "o + 6", "l": "f + 13", "p": "l + 7", "h": "p + 1", "g": "h + 19", "x": "g + 8", "d": "x + 10", "f": 1}, "premises": {"f": 1}, "target": "c"}, "answer": {"steps": [["o", "e + 8", "e + 14"], ["e", "j + 9", "j + 23"], ["j", "t + 8", "t + 31"], ["t", "i + 8", "i + 39"], ["i", "f + 11", "f + 50"], ["f", 1, "51"]], "target_var_name": "c", "target_value": 51, "value_dict": {"f": 1}, "is_reverse": true}}
| 24,260
| 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 = e + 8; c = o + 6; g = h + 19; l = f + 13; d = x + 10; t = i + 8; e = j + 9; f = 1; h = p + 1; j = t + 8; x = g + 8; i = f + 11; p = l + 7. If f = 1, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 8 to c, which gives c = e + 14.\n2. Substitute e = j + 9 to c, which gives c = j + 23.\n3. Substitute j = t + 8 to c, which gives c = t + 31.\n4. Substitute t = i + 8 to c, which gives c = i + 39.\n5. Substitute i = f + 11 to c, which gives c = f + 50.\n6. Substitute f = 1 to c, which gives c = 51.\n\nThus, the final answer is c = \\boxed{51}.",
"index": 24260,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 8; c = o + 6; g = h + 19; l = f + 13; d = x + 10; t = i + 8; e = j + 9; f = 1; h = p + 1; j = t + 8; x = g + 8; i = f + 11; p = l + 7. If f = 1, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"h": "t + 14", "k": "h + 3", "i": "k + 3", "u": "i + 9", "s": "u + 19", "n": "s + 6", "w": "t + 19", "g": "w + 18", "y": "g + 1", "l": "y + 14", "z": "l + 5", "e": "z + 13", "t": 16}, "premises": {"t": 16}, "target": "n"}, "answer": {"steps": [["s", "u + 19", "u + 25"], ["u", "i + 9", "i + 34"], ["i", "k + 3", "k + 37"], ["k", "h + 3", "h + 40"], ["h", "t + 14", "t + 54"], ["t", 16, "70"]], "target_var_name": "n", "target_value": 70, "value_dict": {"t": 16}, "is_reverse": true}}
| 24,261
| 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 + 9; w = t + 19; y = g + 1; n = s + 6; i = k + 3; h = t + 14; z = l + 5; t = 16; l = y + 14; k = h + 3; g = w + 18; s = u + 19; e = z + 13. If t = 16, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 19 to n, which gives n = u + 25.\n2. Substitute u = i + 9 to n, which gives n = i + 34.\n3. Substitute i = k + 3 to n, which gives n = k + 37.\n4. Substitute k = h + 3 to n, which gives n = h + 40.\n5. Substitute h = t + 14 to n, which gives n = t + 54.\n6. Substitute t = 16 to n, which gives n = 70.\n\nThus, the final answer is n = \\boxed{70}.",
"index": 24261,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = i + 9; w = t + 19; y = g + 1; n = s + 6; i = k + 3; h = t + 14; z = l + 5; t = 16; l = y + 14; k = h + 3; g = w + 18; s = u + 19; e = z + 13. If t = 16, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"m": "t + 7", "o": "m + 17", "r": "o + 8", "x": "r + 16", "w": "x + 7", "n": "w + 19", "v": "t + 5", "u": "v + 13", "d": "u + 8", "k": "d + 12", "q": "k + 12", "g": "q + 16", "t": 7}, "premises": {"t": 7}, "target": "n"}, "answer": {"steps": [["w", "x + 7", "x + 26"], ["x", "r + 16", "r + 42"], ["r", "o + 8", "o + 50"], ["o", "m + 17", "m + 67"], ["m", "t + 7", "t + 74"], ["t", 7, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"t": 7}, "is_reverse": true}}
| 24,262
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = x + 7; r = o + 8; k = d + 12; t = 7; u = v + 13; o = m + 17; n = w + 19; x = r + 16; m = t + 7; q = k + 12; g = q + 16; d = u + 8; v = t + 5. If t = 7, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 7 to n, which gives n = x + 26.\n2. Substitute x = r + 16 to n, which gives n = r + 42.\n3. Substitute r = o + 8 to n, which gives n = o + 50.\n4. Substitute o = m + 17 to n, which gives n = m + 67.\n5. Substitute m = t + 7 to n, which gives n = t + 74.\n6. Substitute t = 7 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 24262,
"question": "Consider a system of variables where each variable is defined as follows: w = x + 7; r = o + 8; k = d + 12; t = 7; u = v + 13; o = m + 17; n = w + 19; x = r + 16; m = t + 7; q = k + 12; g = q + 16; d = u + 8; v = t + 5. If t = 7, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"k": "f + 4", "m": "k + 18", "q": "m + 14", "z": "q + 9", "n": "z + 6", "v": "n + 16", "g": "f + 12", "a": "g + 11", "y": "a + 13", "p": "y + 5", "u": "p + 10", "l": "u + 5", "f": 6}, "premises": {"f": 6}, "target": "v"}, "answer": {"steps": [["n", "z + 6", "z + 22"], ["z", "q + 9", "q + 31"], ["q", "m + 14", "m + 45"], ["m", "k + 18", "k + 63"], ["k", "f + 4", "f + 67"], ["f", 6, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"f": 6}, "is_reverse": true}}
| 24,263
| 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 = q + 9; q = m + 14; n = z + 6; m = k + 18; f = 6; g = f + 12; p = y + 5; l = u + 5; v = n + 16; k = f + 4; u = p + 10; a = g + 11; y = a + 13. If f = 6, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 6 to v, which gives v = z + 22.\n2. Substitute z = q + 9 to v, which gives v = q + 31.\n3. Substitute q = m + 14 to v, which gives v = m + 45.\n4. Substitute m = k + 18 to v, which gives v = k + 63.\n5. Substitute k = f + 4 to v, which gives v = f + 67.\n6. Substitute f = 6 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 24263,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 9; q = m + 14; n = z + 6; m = k + 18; f = 6; g = f + 12; p = y + 5; l = u + 5; v = n + 16; k = f + 4; u = p + 10; a = g + 11; y = a + 13. If f = 6, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"q": "x + 20", "s": "q + 4", "g": "s + 2", "v": "g + 16", "t": "v + 11", "c": "t + 6", "h": "x + 20", "i": "h + 6", "j": "i + 17", "p": "j + 19", "f": "p + 8", "o": "f + 2", "x": 2}, "premises": {"x": 2}, "target": "c"}, "answer": {"steps": [["t", "v + 11", "v + 17"], ["v", "g + 16", "g + 33"], ["g", "s + 2", "s + 35"], ["s", "q + 4", "q + 39"], ["q", "x + 20", "x + 59"], ["x", 2, "61"]], "target_var_name": "c", "target_value": 61, "value_dict": {"x": 2}, "is_reverse": true}}
| 24,264
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = x + 20; v = g + 16; p = j + 19; t = v + 11; x = 2; j = i + 17; s = q + 4; f = p + 8; c = t + 6; q = x + 20; o = f + 2; i = h + 6; g = s + 2. If x = 2, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 11 to c, which gives c = v + 17.\n2. Substitute v = g + 16 to c, which gives c = g + 33.\n3. Substitute g = s + 2 to c, which gives c = s + 35.\n4. Substitute s = q + 4 to c, which gives c = q + 39.\n5. Substitute q = x + 20 to c, which gives c = x + 59.\n6. Substitute x = 2 to c, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 24264,
"question": "Consider a system of variables where each variable is defined as follows: h = x + 20; v = g + 16; p = j + 19; t = v + 11; x = 2; j = i + 17; s = q + 4; f = p + 8; c = t + 6; q = x + 20; o = f + 2; i = h + 6; g = s + 2. If x = 2, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"c": "w + 6", "b": "c + 6", "j": "b + 18", "q": "j + 19", "e": "q + 2", "f": "e + 15", "z": "w + 7", "v": "z + 8", "k": "v + 6", "n": "k + 10", "y": "n + 12", "o": "y + 6", "w": 3}, "premises": {"w": 3}, "target": "f"}, "answer": {"steps": [["e", "q + 2", "q + 17"], ["q", "j + 19", "j + 36"], ["j", "b + 18", "b + 54"], ["b", "c + 6", "c + 60"], ["c", "w + 6", "w + 66"], ["w", 3, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"w": 3}, "is_reverse": true}}
| 24,265
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 6; v = z + 8; f = e + 15; e = q + 2; z = w + 7; w = 3; c = w + 6; n = k + 10; q = j + 19; k = v + 6; b = c + 6; y = n + 12; j = b + 18. If w = 3, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 2 to f, which gives f = q + 17.\n2. Substitute q = j + 19 to f, which gives f = j + 36.\n3. Substitute j = b + 18 to f, which gives f = b + 54.\n4. Substitute b = c + 6 to f, which gives f = c + 60.\n5. Substitute c = w + 6 to f, which gives f = w + 66.\n6. Substitute w = 3 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 24265,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 6; v = z + 8; f = e + 15; e = q + 2; z = w + 7; w = 3; c = w + 6; n = k + 10; q = j + 19; k = v + 6; b = c + 6; y = n + 12; j = b + 18. If w = 3, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"l": "e + 17", "b": "l + 12", "m": "b + 6", "r": "m + 12", "p": "r + 1", "i": "p + 17", "f": "e + 7", "y": "f + 4", "k": "y + 3", "v": "k + 19", "h": "v + 10", "x": "h + 15", "e": 17}, "premises": {"e": 17}, "target": "i"}, "answer": {"steps": [["p", "r + 1", "r + 18"], ["r", "m + 12", "m + 30"], ["m", "b + 6", "b + 36"], ["b", "l + 12", "l + 48"], ["l", "e + 17", "e + 65"], ["e", 17, "82"]], "target_var_name": "i", "target_value": 82, "value_dict": {"e": 17}, "is_reverse": true}}
| 24,266
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = f + 4; r = m + 12; x = h + 15; p = r + 1; f = e + 7; i = p + 17; b = l + 12; e = 17; h = v + 10; m = b + 6; v = k + 19; k = y + 3; l = e + 17. Given that e = 17, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 1 to i, which gives i = r + 18.\n2. Substitute r = m + 12 to i, which gives i = m + 30.\n3. Substitute m = b + 6 to i, which gives i = b + 36.\n4. Substitute b = l + 12 to i, which gives i = l + 48.\n5. Substitute l = e + 17 to i, which gives i = e + 65.\n6. Substitute e = 17 to i, which gives i = 82.\n\nThus, the final answer is i = \\boxed{82}.",
"index": 24266,
"question": "Suppose a collection of variables is related by the following definitions: y = f + 4; r = m + 12; x = h + 15; p = r + 1; f = e + 7; i = p + 17; b = l + 12; e = 17; h = v + 10; m = b + 6; v = k + 19; k = y + 3; l = e + 17. Given that e = 17, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"m": "j + 16", "n": "m + 8", "d": "n + 18", "x": "d + 5", "a": "x + 15", "y": "a + 13", "w": "j + 9", "l": "w + 15", "i": "l + 19", "k": "i + 1", "p": "k + 7", "g": "p + 6", "j": 20}, "premises": {"j": 20}, "target": "y"}, "answer": {"steps": [["a", "x + 15", "x + 28"], ["x", "d + 5", "d + 33"], ["d", "n + 18", "n + 51"], ["n", "m + 8", "m + 59"], ["m", "j + 16", "j + 75"], ["j", 20, "95"]], "target_var_name": "y", "target_value": 95, "value_dict": {"j": 20}, "is_reverse": true}}
| 24,267
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = d + 5; k = i + 1; w = j + 9; a = x + 15; i = l + 19; d = n + 18; g = p + 6; y = a + 13; j = 20; m = j + 16; n = m + 8; l = w + 15; p = k + 7. Given that j = 20, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 15 to y, which gives y = x + 28.\n2. Substitute x = d + 5 to y, which gives y = d + 33.\n3. Substitute d = n + 18 to y, which gives y = n + 51.\n4. Substitute n = m + 8 to y, which gives y = m + 59.\n5. Substitute m = j + 16 to y, which gives y = j + 75.\n6. Substitute j = 20 to y, which gives y = 95.\n\nThus, the final answer is y = \\boxed{95}.",
"index": 24267,
"question": "Suppose a collection of variables is related by the following definitions: x = d + 5; k = i + 1; w = j + 9; a = x + 15; i = l + 19; d = n + 18; g = p + 6; y = a + 13; j = 20; m = j + 16; n = m + 8; l = w + 15; p = k + 7. Given that j = 20, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 8", "y": "z + 11", "h": "y + 5", "d": "h + 17", "t": "d + 5", "m": "t + 3", "e": "o + 11", "w": "e + 19", "k": "w + 2", "n": "k + 17", "b": "n + 14", "g": "b + 17", "o": 8}, "premises": {"o": 8}, "target": "m"}, "answer": {"steps": [["t", "d + 5", "d + 8"], ["d", "h + 17", "h + 25"], ["h", "y + 5", "y + 30"], ["y", "z + 11", "z + 41"], ["z", "o + 8", "o + 49"], ["o", 8, "57"]], "target_var_name": "m", "target_value": 57, "value_dict": {"o": 8}, "is_reverse": true}}
| 24,268
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = z + 11; n = k + 17; t = d + 5; e = o + 11; k = w + 2; z = o + 8; o = 8; m = t + 3; d = h + 17; h = y + 5; g = b + 17; w = e + 19; b = n + 14. Given that o = 8, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 5 to m, which gives m = d + 8.\n2. Substitute d = h + 17 to m, which gives m = h + 25.\n3. Substitute h = y + 5 to m, which gives m = y + 30.\n4. Substitute y = z + 11 to m, which gives m = z + 41.\n5. Substitute z = o + 8 to m, which gives m = o + 49.\n6. Substitute o = 8 to m, which gives m = 57.\n\nThus, the final answer is m = \\boxed{57}.",
"index": 24268,
"question": "Suppose a collection of variables is related by the following definitions: y = z + 11; n = k + 17; t = d + 5; e = o + 11; k = w + 2; z = o + 8; o = 8; m = t + 3; d = h + 17; h = y + 5; g = b + 17; w = e + 19; b = n + 14. Given that o = 8, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"p": "j + 3", "z": "p + 12", "t": "z + 1", "m": "t + 16", "k": "m + 16", "c": "k + 12", "h": "j + 18", "w": "h + 5", "s": "w + 17", "u": "s + 1", "b": "u + 16", "d": "b + 14", "j": 12}, "premises": {"j": 12}, "target": "c"}, "answer": {"steps": [["k", "m + 16", "m + 28"], ["m", "t + 16", "t + 44"], ["t", "z + 1", "z + 45"], ["z", "p + 12", "p + 57"], ["p", "j + 3", "j + 60"], ["j", 12, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"j": 12}, "is_reverse": true}}
| 24,269
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = j + 18; m = t + 16; w = h + 5; u = s + 1; s = w + 17; j = 12; k = m + 16; b = u + 16; d = b + 14; z = p + 12; c = k + 12; p = j + 3; t = z + 1. If j = 12, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 16 to c, which gives c = m + 28.\n2. Substitute m = t + 16 to c, which gives c = t + 44.\n3. Substitute t = z + 1 to c, which gives c = z + 45.\n4. Substitute z = p + 12 to c, which gives c = p + 57.\n5. Substitute p = j + 3 to c, which gives c = j + 60.\n6. Substitute j = 12 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 24269,
"question": "Consider a system of variables where each variable is defined as follows: h = j + 18; m = t + 16; w = h + 5; u = s + 1; s = w + 17; j = 12; k = m + 16; b = u + 16; d = b + 14; z = p + 12; c = k + 12; p = j + 3; t = z + 1. If j = 12, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"b": "r + 20", "k": "b + 14", "c": "k + 15", "m": "c + 1", "y": "m + 3", "q": "y + 14", "i": "r + 17", "v": "i + 19", "t": "v + 4", "f": "t + 18", "x": "f + 17", "g": "x + 4", "r": 1}, "premises": {"r": 1}, "target": "q"}, "answer": {"steps": [["y", "m + 3", "m + 17"], ["m", "c + 1", "c + 18"], ["c", "k + 15", "k + 33"], ["k", "b + 14", "b + 47"], ["b", "r + 20", "r + 67"], ["r", 1, "68"]], "target_var_name": "q", "target_value": 68, "value_dict": {"r": 1}, "is_reverse": true}}
| 24,270
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = r + 20; x = f + 17; y = m + 3; c = k + 15; g = x + 4; r = 1; k = b + 14; m = c + 1; v = i + 19; q = y + 14; t = v + 4; f = t + 18; i = r + 17. If r = 1, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 3 to q, which gives q = m + 17.\n2. Substitute m = c + 1 to q, which gives q = c + 18.\n3. Substitute c = k + 15 to q, which gives q = k + 33.\n4. Substitute k = b + 14 to q, which gives q = b + 47.\n5. Substitute b = r + 20 to q, which gives q = r + 67.\n6. Substitute r = 1 to q, which gives q = 68.\n\nThus, the final answer is q = \\boxed{68}.",
"index": 24270,
"question": "Consider a system of variables where each variable is defined as follows: b = r + 20; x = f + 17; y = m + 3; c = k + 15; g = x + 4; r = 1; k = b + 14; m = c + 1; v = i + 19; q = y + 14; t = v + 4; f = t + 18; i = r + 17. If r = 1, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"x": "g + 14", "u": "x + 1", "r": "u + 14", "j": "r + 11", "h": "j + 19", "q": "h + 7", "p": "g + 3", "s": "p + 9", "i": "s + 15", "e": "i + 15", "w": "e + 15", "k": "w + 16", "g": 17}, "premises": {"g": 17}, "target": "q"}, "answer": {"steps": [["h", "j + 19", "j + 26"], ["j", "r + 11", "r + 37"], ["r", "u + 14", "u + 51"], ["u", "x + 1", "x + 52"], ["x", "g + 14", "g + 66"], ["g", 17, "83"]], "target_var_name": "q", "target_value": 83, "value_dict": {"g": 17}, "is_reverse": true}}
| 24,271
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = i + 15; j = r + 11; q = h + 7; s = p + 9; g = 17; x = g + 14; i = s + 15; h = j + 19; r = u + 14; w = e + 15; p = g + 3; k = w + 16; u = x + 1. Given that g = 17, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 19 to q, which gives q = j + 26.\n2. Substitute j = r + 11 to q, which gives q = r + 37.\n3. Substitute r = u + 14 to q, which gives q = u + 51.\n4. Substitute u = x + 1 to q, which gives q = x + 52.\n5. Substitute x = g + 14 to q, which gives q = g + 66.\n6. Substitute g = 17 to q, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 24271,
"question": "Suppose a collection of variables is related by the following definitions: e = i + 15; j = r + 11; q = h + 7; s = p + 9; g = 17; x = g + 14; i = s + 15; h = j + 19; r = u + 14; w = e + 15; p = g + 3; k = w + 16; u = x + 1. Given that g = 17, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"l": "a + 10", "i": "l + 15", "q": "i + 2", "o": "q + 7", "x": "o + 2", "u": "x + 8", "n": "a + 20", "v": "n + 10", "r": "v + 13", "t": "r + 4", "b": "t + 3", "m": "b + 7", "a": 5}, "premises": {"a": 5}, "target": "u"}, "answer": {"steps": [["x", "o + 2", "o + 10"], ["o", "q + 7", "q + 17"], ["q", "i + 2", "i + 19"], ["i", "l + 15", "l + 34"], ["l", "a + 10", "a + 44"], ["a", 5, "49"]], "target_var_name": "u", "target_value": 49, "value_dict": {"a": 5}, "is_reverse": true}}
| 24,272
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = a + 20; i = l + 15; u = x + 8; b = t + 3; t = r + 4; v = n + 10; r = v + 13; l = a + 10; a = 5; q = i + 2; o = q + 7; m = b + 7; x = o + 2. If a = 5, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 2 to u, which gives u = o + 10.\n2. Substitute o = q + 7 to u, which gives u = q + 17.\n3. Substitute q = i + 2 to u, which gives u = i + 19.\n4. Substitute i = l + 15 to u, which gives u = l + 34.\n5. Substitute l = a + 10 to u, which gives u = a + 44.\n6. Substitute a = 5 to u, which gives u = 49.\n\nThus, the final answer is u = \\boxed{49}.",
"index": 24272,
"question": "Consider a system of variables where each variable is defined as follows: n = a + 20; i = l + 15; u = x + 8; b = t + 3; t = r + 4; v = n + 10; r = v + 13; l = a + 10; a = 5; q = i + 2; o = q + 7; m = b + 7; x = o + 2. If a = 5, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"p": "b + 6", "s": "p + 12", "z": "s + 17", "t": "z + 15", "h": "t + 10", "i": "h + 3", "g": "b + 12", "o": "g + 12", "c": "o + 18", "m": "c + 5", "l": "m + 2", "f": "l + 16", "b": 18}, "premises": {"b": 18}, "target": "i"}, "answer": {"steps": [["h", "t + 10", "t + 13"], ["t", "z + 15", "z + 28"], ["z", "s + 17", "s + 45"], ["s", "p + 12", "p + 57"], ["p", "b + 6", "b + 63"], ["b", 18, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"b": 18}, "is_reverse": true}}
| 24,273
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = c + 5; p = b + 6; t = z + 15; c = o + 18; h = t + 10; b = 18; g = b + 12; i = h + 3; l = m + 2; o = g + 12; s = p + 12; f = l + 16; z = s + 17. Given that b = 18, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 10 to i, which gives i = t + 13.\n2. Substitute t = z + 15 to i, which gives i = z + 28.\n3. Substitute z = s + 17 to i, which gives i = s + 45.\n4. Substitute s = p + 12 to i, which gives i = p + 57.\n5. Substitute p = b + 6 to i, which gives i = b + 63.\n6. Substitute b = 18 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 24273,
"question": "Suppose a collection of variables is related by the following definitions: m = c + 5; p = b + 6; t = z + 15; c = o + 18; h = t + 10; b = 18; g = b + 12; i = h + 3; l = m + 2; o = g + 12; s = p + 12; f = l + 16; z = s + 17. Given that b = 18, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"t": "j + 13", "q": "t + 2", "c": "q + 14", "o": "c + 14", "y": "o + 5", "f": "y + 6", "r": "j + 1", "p": "r + 5", "g": "p + 14", "z": "g + 15", "a": "z + 19", "e": "a + 2", "j": 20}, "premises": {"j": 20}, "target": "f"}, "answer": {"steps": [["y", "o + 5", "o + 11"], ["o", "c + 14", "c + 25"], ["c", "q + 14", "q + 39"], ["q", "t + 2", "t + 41"], ["t", "j + 13", "j + 54"], ["j", 20, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"j": 20}, "is_reverse": true}}
| 24,274
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = t + 2; g = p + 14; f = y + 6; z = g + 15; p = r + 5; t = j + 13; r = j + 1; j = 20; a = z + 19; o = c + 14; y = o + 5; c = q + 14; e = a + 2. Given that j = 20, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 5 to f, which gives f = o + 11.\n2. Substitute o = c + 14 to f, which gives f = c + 25.\n3. Substitute c = q + 14 to f, which gives f = q + 39.\n4. Substitute q = t + 2 to f, which gives f = t + 41.\n5. Substitute t = j + 13 to f, which gives f = j + 54.\n6. Substitute j = 20 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 24274,
"question": "Suppose a collection of variables is related by the following definitions: q = t + 2; g = p + 14; f = y + 6; z = g + 15; p = r + 5; t = j + 13; r = j + 1; j = 20; a = z + 19; o = c + 14; y = o + 5; c = q + 14; e = a + 2. Given that j = 20, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"u": "f + 16", "e": "u + 1", "w": "e + 9", "z": "w + 11", "b": "z + 6", "k": "b + 9", "j": "f + 16", "a": "j + 5", "l": "a + 16", "c": "l + 4", "h": "c + 16", "s": "h + 16", "f": 2}, "premises": {"f": 2}, "target": "k"}, "answer": {"steps": [["b", "z + 6", "z + 15"], ["z", "w + 11", "w + 26"], ["w", "e + 9", "e + 35"], ["e", "u + 1", "u + 36"], ["u", "f + 16", "f + 52"], ["f", 2, "54"]], "target_var_name": "k", "target_value": 54, "value_dict": {"f": 2}, "is_reverse": true}}
| 24,275
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = a + 16; s = h + 16; e = u + 1; b = z + 6; u = f + 16; h = c + 16; j = f + 16; a = j + 5; z = w + 11; w = e + 9; k = b + 9; c = l + 4; f = 2. If f = 2, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 6 to k, which gives k = z + 15.\n2. Substitute z = w + 11 to k, which gives k = w + 26.\n3. Substitute w = e + 9 to k, which gives k = e + 35.\n4. Substitute e = u + 1 to k, which gives k = u + 36.\n5. Substitute u = f + 16 to k, which gives k = f + 52.\n6. Substitute f = 2 to k, which gives k = 54.\n\nThus, the final answer is k = \\boxed{54}.",
"index": 24275,
"question": "Consider a system of variables where each variable is defined as follows: l = a + 16; s = h + 16; e = u + 1; b = z + 6; u = f + 16; h = c + 16; j = f + 16; a = j + 5; z = w + 11; w = e + 9; k = b + 9; c = l + 4; f = 2. If f = 2, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"u": "p + 12", "e": "u + 8", "w": "e + 5", "o": "w + 14", "l": "o + 19", "t": "l + 5", "x": "p + 20", "n": "x + 11", "q": "n + 9", "f": "q + 7", "z": "f + 18", "h": "z + 20", "p": 6}, "premises": {"p": 6}, "target": "t"}, "answer": {"steps": [["l", "o + 19", "o + 24"], ["o", "w + 14", "w + 38"], ["w", "e + 5", "e + 43"], ["e", "u + 8", "u + 51"], ["u", "p + 12", "p + 63"], ["p", 6, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"p": 6}, "is_reverse": true}}
| 24,276
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 8; q = n + 9; o = w + 14; f = q + 7; n = x + 11; x = p + 20; z = f + 18; l = o + 19; w = e + 5; u = p + 12; h = z + 20; t = l + 5; p = 6. If p = 6, what is the resulting 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 l = o + 19 to t, which gives t = o + 24.\n2. Substitute o = w + 14 to t, which gives t = w + 38.\n3. Substitute w = e + 5 to t, which gives t = e + 43.\n4. Substitute e = u + 8 to t, which gives t = u + 51.\n5. Substitute u = p + 12 to t, which gives t = p + 63.\n6. Substitute p = 6 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 24276,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 8; q = n + 9; o = w + 14; f = q + 7; n = x + 11; x = p + 20; z = f + 18; l = o + 19; w = e + 5; u = p + 12; h = z + 20; t = l + 5; p = 6. If p = 6, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 18", "k": "e + 17", "a": "k + 20", "n": "a + 6", "h": "n + 3", "o": "h + 19", "j": "d + 16", "u": "j + 12", "x": "u + 18", "c": "x + 17", "r": "c + 14", "p": "r + 15", "d": 7}, "premises": {"d": 7}, "target": "o"}, "answer": {"steps": [["h", "n + 3", "n + 22"], ["n", "a + 6", "a + 28"], ["a", "k + 20", "k + 48"], ["k", "e + 17", "e + 65"], ["e", "d + 18", "d + 83"], ["d", 7, "90"]], "target_var_name": "o", "target_value": 90, "value_dict": {"d": 7}, "is_reverse": true}}
| 24,277
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = c + 14; u = j + 12; a = k + 20; n = a + 6; x = u + 18; j = d + 16; h = n + 3; e = d + 18; d = 7; o = h + 19; k = e + 17; p = r + 15; c = x + 17. If d = 7, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 3 to o, which gives o = n + 22.\n2. Substitute n = a + 6 to o, which gives o = a + 28.\n3. Substitute a = k + 20 to o, which gives o = k + 48.\n4. Substitute k = e + 17 to o, which gives o = e + 65.\n5. Substitute e = d + 18 to o, which gives o = d + 83.\n6. Substitute d = 7 to o, which gives o = 90.\n\nThus, the final answer is o = \\boxed{90}.",
"index": 24277,
"question": "Consider a system of variables where each variable is defined as follows: r = c + 14; u = j + 12; a = k + 20; n = a + 6; x = u + 18; j = d + 16; h = n + 3; e = d + 18; d = 7; o = h + 19; k = e + 17; p = r + 15; c = x + 17. If d = 7, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"c": "i + 3", "a": "c + 15", "z": "a + 10", "m": "z + 17", "e": "m + 8", "l": "e + 5", "k": "i + 11", "y": "k + 2", "u": "y + 7", "p": "u + 15", "f": "p + 7", "v": "f + 15", "i": 5}, "premises": {"i": 5}, "target": "l"}, "answer": {"steps": [["e", "m + 8", "m + 13"], ["m", "z + 17", "z + 30"], ["z", "a + 10", "a + 40"], ["a", "c + 15", "c + 55"], ["c", "i + 3", "i + 58"], ["i", 5, "63"]], "target_var_name": "l", "target_value": 63, "value_dict": {"i": 5}, "is_reverse": true}}
| 24,278
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = k + 2; m = z + 17; p = u + 15; k = i + 11; a = c + 15; z = a + 10; v = f + 15; e = m + 8; i = 5; c = i + 3; f = p + 7; l = e + 5; u = y + 7. Given that i = 5, find 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 = m + 8 to l, which gives l = m + 13.\n2. Substitute m = z + 17 to l, which gives l = z + 30.\n3. Substitute z = a + 10 to l, which gives l = a + 40.\n4. Substitute a = c + 15 to l, which gives l = c + 55.\n5. Substitute c = i + 3 to l, which gives l = i + 58.\n6. Substitute i = 5 to l, which gives l = 63.\n\nThus, the final answer is l = \\boxed{63}.",
"index": 24278,
"question": "Suppose a collection of variables is related by the following definitions: y = k + 2; m = z + 17; p = u + 15; k = i + 11; a = c + 15; z = a + 10; v = f + 15; e = m + 8; i = 5; c = i + 3; f = p + 7; l = e + 5; u = y + 7. Given that i = 5, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"d": "p + 8", "n": "d + 7", "v": "n + 10", "t": "v + 2", "q": "t + 11", "i": "q + 10", "k": "p + 11", "j": "k + 14", "c": "j + 6", "u": "c + 19", "w": "u + 11", "z": "w + 4", "p": 18}, "premises": {"p": 18}, "target": "i"}, "answer": {"steps": [["q", "t + 11", "t + 21"], ["t", "v + 2", "v + 23"], ["v", "n + 10", "n + 33"], ["n", "d + 7", "d + 40"], ["d", "p + 8", "p + 48"], ["p", 18, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"p": 18}, "is_reverse": true}}
| 24,279
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = q + 10; d = p + 8; p = 18; n = d + 7; v = n + 10; c = j + 6; w = u + 11; u = c + 19; z = w + 4; t = v + 2; q = t + 11; j = k + 14; k = p + 11. If p = 18, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 11 to i, which gives i = t + 21.\n2. Substitute t = v + 2 to i, which gives i = v + 23.\n3. Substitute v = n + 10 to i, which gives i = n + 33.\n4. Substitute n = d + 7 to i, which gives i = d + 40.\n5. Substitute d = p + 8 to i, which gives i = p + 48.\n6. Substitute p = 18 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 24279,
"question": "Consider a system of variables where each variable is defined as follows: i = q + 10; d = p + 8; p = 18; n = d + 7; v = n + 10; c = j + 6; w = u + 11; u = c + 19; z = w + 4; t = v + 2; q = t + 11; j = k + 14; k = p + 11. If p = 18, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"q": "j + 18", "b": "q + 8", "i": "b + 5", "l": "i + 17", "n": "l + 2", "w": "n + 10", "h": "j + 12", "v": "h + 7", "a": "v + 5", "m": "a + 6", "g": "m + 2", "z": "g + 14", "j": 20}, "premises": {"j": 20}, "target": "w"}, "answer": {"steps": [["n", "l + 2", "l + 12"], ["l", "i + 17", "i + 29"], ["i", "b + 5", "b + 34"], ["b", "q + 8", "q + 42"], ["q", "j + 18", "j + 60"], ["j", 20, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"j": 20}, "is_reverse": true}}
| 24,280
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = l + 2; i = b + 5; m = a + 6; l = i + 17; g = m + 2; a = v + 5; h = j + 12; q = j + 18; b = q + 8; z = g + 14; w = n + 10; j = 20; v = h + 7. Given that j = 20, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 2 to w, which gives w = l + 12.\n2. Substitute l = i + 17 to w, which gives w = i + 29.\n3. Substitute i = b + 5 to w, which gives w = b + 34.\n4. Substitute b = q + 8 to w, which gives w = q + 42.\n5. Substitute q = j + 18 to w, which gives w = j + 60.\n6. Substitute j = 20 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 24280,
"question": "Suppose a collection of variables is related by the following definitions: n = l + 2; i = b + 5; m = a + 6; l = i + 17; g = m + 2; a = v + 5; h = j + 12; q = j + 18; b = q + 8; z = g + 14; w = n + 10; j = 20; v = h + 7. Given that j = 20, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"p": "w + 8", "o": "p + 14", "y": "o + 8", "u": "y + 6", "b": "u + 1", "v": "b + 13", "e": "w + 14", "x": "e + 19", "j": "x + 18", "q": "j + 14", "a": "q + 17", "t": "a + 3", "w": 5}, "premises": {"w": 5}, "target": "v"}, "answer": {"steps": [["b", "u + 1", "u + 14"], ["u", "y + 6", "y + 20"], ["y", "o + 8", "o + 28"], ["o", "p + 14", "p + 42"], ["p", "w + 8", "w + 50"], ["w", 5, "55"]], "target_var_name": "v", "target_value": 55, "value_dict": {"w": 5}, "is_reverse": true}}
| 24,281
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = e + 19; u = y + 6; b = u + 1; a = q + 17; w = 5; q = j + 14; p = w + 8; t = a + 3; y = o + 8; v = b + 13; j = x + 18; e = w + 14; o = p + 14. Given that w = 5, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 1 to v, which gives v = u + 14.\n2. Substitute u = y + 6 to v, which gives v = y + 20.\n3. Substitute y = o + 8 to v, which gives v = o + 28.\n4. Substitute o = p + 14 to v, which gives v = p + 42.\n5. Substitute p = w + 8 to v, which gives v = w + 50.\n6. Substitute w = 5 to v, which gives v = 55.\n\nThus, the final answer is v = \\boxed{55}.",
"index": 24281,
"question": "Suppose a collection of variables is related by the following definitions: x = e + 19; u = y + 6; b = u + 1; a = q + 17; w = 5; q = j + 14; p = w + 8; t = a + 3; y = o + 8; v = b + 13; j = x + 18; e = w + 14; o = p + 14. Given that w = 5, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"q": "c + 1", "t": "q + 11", "d": "t + 3", "p": "d + 6", "o": "p + 18", "n": "o + 8", "b": "c + 13", "l": "b + 6", "e": "l + 8", "x": "e + 4", "u": "x + 16", "y": "u + 14", "c": 16}, "premises": {"c": 16}, "target": "n"}, "answer": {"steps": [["o", "p + 18", "p + 26"], ["p", "d + 6", "d + 32"], ["d", "t + 3", "t + 35"], ["t", "q + 11", "q + 46"], ["q", "c + 1", "c + 47"], ["c", 16, "63"]], "target_var_name": "n", "target_value": 63, "value_dict": {"c": 16}, "is_reverse": true}}
| 24,282
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 8; p = d + 6; d = t + 3; e = l + 8; b = c + 13; t = q + 11; y = u + 14; x = e + 4; u = x + 16; c = 16; l = b + 6; o = p + 18; q = c + 1. If c = 16, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 18 to n, which gives n = p + 26.\n2. Substitute p = d + 6 to n, which gives n = d + 32.\n3. Substitute d = t + 3 to n, which gives n = t + 35.\n4. Substitute t = q + 11 to n, which gives n = q + 46.\n5. Substitute q = c + 1 to n, which gives n = c + 47.\n6. Substitute c = 16 to n, which gives n = 63.\n\nThus, the final answer is n = \\boxed{63}.",
"index": 24282,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 8; p = d + 6; d = t + 3; e = l + 8; b = c + 13; t = q + 11; y = u + 14; x = e + 4; u = x + 16; c = 16; l = b + 6; o = p + 18; q = c + 1. If c = 16, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"b": "l + 18", "s": "b + 8", "i": "s + 18", "w": "i + 20", "q": "w + 13", "f": "q + 9", "a": "l + 11", "r": "a + 14", "t": "r + 7", "u": "t + 17", "p": "u + 20", "d": "p + 9", "l": 4}, "premises": {"l": 4}, "target": "f"}, "answer": {"steps": [["q", "w + 13", "w + 22"], ["w", "i + 20", "i + 42"], ["i", "s + 18", "s + 60"], ["s", "b + 8", "b + 68"], ["b", "l + 18", "l + 86"], ["l", 4, "90"]], "target_var_name": "f", "target_value": 90, "value_dict": {"l": 4}, "is_reverse": true}}
| 24,283
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = u + 20; b = l + 18; r = a + 14; i = s + 18; u = t + 17; l = 4; s = b + 8; t = r + 7; f = q + 9; w = i + 20; q = w + 13; d = p + 9; a = l + 11. Given that l = 4, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 13 to f, which gives f = w + 22.\n2. Substitute w = i + 20 to f, which gives f = i + 42.\n3. Substitute i = s + 18 to f, which gives f = s + 60.\n4. Substitute s = b + 8 to f, which gives f = b + 68.\n5. Substitute b = l + 18 to f, which gives f = l + 86.\n6. Substitute l = 4 to f, which gives f = 90.\n\nThus, the final answer is f = \\boxed{90}.",
"index": 24283,
"question": "Suppose a collection of variables is related by the following definitions: p = u + 20; b = l + 18; r = a + 14; i = s + 18; u = t + 17; l = 4; s = b + 8; t = r + 7; f = q + 9; w = i + 20; q = w + 13; d = p + 9; a = l + 11. Given that l = 4, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"y": "z + 20", "h": "y + 15", "l": "h + 5", "a": "l + 18", "e": "a + 18", "w": "e + 9", "i": "z + 8", "q": "i + 19", "c": "q + 6", "r": "c + 6", "v": "r + 12", "g": "v + 11", "z": 12}, "premises": {"z": 12}, "target": "w"}, "answer": {"steps": [["e", "a + 18", "a + 27"], ["a", "l + 18", "l + 45"], ["l", "h + 5", "h + 50"], ["h", "y + 15", "y + 65"], ["y", "z + 20", "z + 85"], ["z", 12, "97"]], "target_var_name": "w", "target_value": 97, "value_dict": {"z": 12}, "is_reverse": true}}
| 24,284
| 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 = c + 6; w = e + 9; v = r + 12; y = z + 20; c = q + 6; a = l + 18; q = i + 19; h = y + 15; z = 12; l = h + 5; g = v + 11; i = z + 8; e = a + 18. If z = 12, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 18 to w, which gives w = a + 27.\n2. Substitute a = l + 18 to w, which gives w = l + 45.\n3. Substitute l = h + 5 to w, which gives w = h + 50.\n4. Substitute h = y + 15 to w, which gives w = y + 65.\n5. Substitute y = z + 20 to w, which gives w = z + 85.\n6. Substitute z = 12 to w, which gives w = 97.\n\nThus, the final answer is w = \\boxed{97}.",
"index": 24284,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = c + 6; w = e + 9; v = r + 12; y = z + 20; c = q + 6; a = l + 18; q = i + 19; h = y + 15; z = 12; l = h + 5; g = v + 11; i = z + 8; e = a + 18. If z = 12, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"o": "g + 7", "m": "o + 5", "b": "m + 10", "p": "b + 17", "i": "p + 13", "q": "i + 20", "a": "g + 17", "c": "a + 19", "l": "c + 20", "h": "l + 18", "e": "h + 16", "t": "e + 17", "g": 6}, "premises": {"g": 6}, "target": "q"}, "answer": {"steps": [["i", "p + 13", "p + 33"], ["p", "b + 17", "b + 50"], ["b", "m + 10", "m + 60"], ["m", "o + 5", "o + 65"], ["o", "g + 7", "g + 72"], ["g", 6, "78"]], "target_var_name": "q", "target_value": 78, "value_dict": {"g": 6}, "is_reverse": true}}
| 24,285
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = l + 18; e = h + 16; i = p + 13; q = i + 20; a = g + 17; t = e + 17; o = g + 7; g = 6; b = m + 10; l = c + 20; p = b + 17; m = o + 5; c = a + 19. If g = 6, determine the 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 i = p + 13 to q, which gives q = p + 33.\n2. Substitute p = b + 17 to q, which gives q = b + 50.\n3. Substitute b = m + 10 to q, which gives q = m + 60.\n4. Substitute m = o + 5 to q, which gives q = o + 65.\n5. Substitute o = g + 7 to q, which gives q = g + 72.\n6. Substitute g = 6 to q, which gives q = 78.\n\nThus, the final answer is q = \\boxed{78}.",
"index": 24285,
"question": "Consider a system of variables where each variable is defined as follows: h = l + 18; e = h + 16; i = p + 13; q = i + 20; a = g + 17; t = e + 17; o = g + 7; g = 6; b = m + 10; l = c + 20; p = b + 17; m = o + 5; c = a + 19. If g = 6, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"t": "e + 20", "l": "t + 7", "m": "l + 2", "n": "m + 20", "g": "n + 19", "k": "g + 5", "w": "e + 2", "r": "w + 8", "q": "r + 9", "h": "q + 17", "f": "h + 18", "o": "f + 6", "e": 4}, "premises": {"e": 4}, "target": "k"}, "answer": {"steps": [["g", "n + 19", "n + 24"], ["n", "m + 20", "m + 44"], ["m", "l + 2", "l + 46"], ["l", "t + 7", "t + 53"], ["t", "e + 20", "e + 73"], ["e", 4, "77"]], "target_var_name": "k", "target_value": 77, "value_dict": {"e": 4}, "is_reverse": true}}
| 24,286
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 17; o = f + 6; n = m + 20; l = t + 7; w = e + 2; k = g + 5; m = l + 2; q = r + 9; e = 4; t = e + 20; r = w + 8; f = h + 18; g = n + 19. If e = 4, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 19 to k, which gives k = n + 24.\n2. Substitute n = m + 20 to k, which gives k = m + 44.\n3. Substitute m = l + 2 to k, which gives k = l + 46.\n4. Substitute l = t + 7 to k, which gives k = t + 53.\n5. Substitute t = e + 20 to k, which gives k = e + 73.\n6. Substitute e = 4 to k, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 24286,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 17; o = f + 6; n = m + 20; l = t + 7; w = e + 2; k = g + 5; m = l + 2; q = r + 9; e = 4; t = e + 20; r = w + 8; f = h + 18; g = n + 19. If e = 4, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"p": "w + 4", "n": "p + 10", "y": "n + 16", "s": "y + 2", "k": "s + 16", "x": "k + 17", "o": "w + 9", "u": "o + 17", "j": "u + 7", "d": "j + 12", "b": "d + 14", "z": "b + 15", "w": 4}, "premises": {"w": 4}, "target": "x"}, "answer": {"steps": [["k", "s + 16", "s + 33"], ["s", "y + 2", "y + 35"], ["y", "n + 16", "n + 51"], ["n", "p + 10", "p + 61"], ["p", "w + 4", "w + 65"], ["w", 4, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"w": 4}, "is_reverse": true}}
| 24,287
| 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 = n + 16; p = w + 4; k = s + 16; x = k + 17; d = j + 12; o = w + 9; u = o + 17; n = p + 10; z = b + 15; s = y + 2; w = 4; j = u + 7; b = d + 14. If w = 4, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 16 to x, which gives x = s + 33.\n2. Substitute s = y + 2 to x, which gives x = y + 35.\n3. Substitute y = n + 16 to x, which gives x = n + 51.\n4. Substitute n = p + 10 to x, which gives x = p + 61.\n5. Substitute p = w + 4 to x, which gives x = w + 65.\n6. Substitute w = 4 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 24287,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = n + 16; p = w + 4; k = s + 16; x = k + 17; d = j + 12; o = w + 9; u = o + 17; n = p + 10; z = b + 15; s = y + 2; w = 4; j = u + 7; b = d + 14. If w = 4, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"q": "o + 18", "j": "q + 11", "c": "j + 20", "y": "c + 7", "a": "y + 13", "b": "a + 18", "x": "o + 8", "k": "x + 20", "r": "k + 19", "t": "r + 17", "f": "t + 16", "s": "f + 13", "o": 3}, "premises": {"o": 3}, "target": "b"}, "answer": {"steps": [["a", "y + 13", "y + 31"], ["y", "c + 7", "c + 38"], ["c", "j + 20", "j + 58"], ["j", "q + 11", "q + 69"], ["q", "o + 18", "o + 87"], ["o", 3, "90"]], "target_var_name": "b", "target_value": 90, "value_dict": {"o": 3}, "is_reverse": true}}
| 24,288
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 17; a = y + 13; f = t + 16; x = o + 8; s = f + 13; q = o + 18; c = j + 20; r = k + 19; o = 3; k = x + 20; y = c + 7; j = q + 11; b = a + 18. If o = 3, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 13 to b, which gives b = y + 31.\n2. Substitute y = c + 7 to b, which gives b = c + 38.\n3. Substitute c = j + 20 to b, which gives b = j + 58.\n4. Substitute j = q + 11 to b, which gives b = q + 69.\n5. Substitute q = o + 18 to b, which gives b = o + 87.\n6. Substitute o = 3 to b, which gives b = 90.\n\nThus, the final answer is b = \\boxed{90}.",
"index": 24288,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 17; a = y + 13; f = t + 16; x = o + 8; s = f + 13; q = o + 18; c = j + 20; r = k + 19; o = 3; k = x + 20; y = c + 7; j = q + 11; b = a + 18. If o = 3, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"u": "q + 18", "w": "u + 14", "s": "w + 4", "z": "s + 20", "e": "z + 5", "t": "e + 14", "n": "q + 5", "a": "n + 1", "r": "a + 15", "v": "r + 11", "f": "v + 9", "g": "f + 14", "q": 13}, "premises": {"q": 13}, "target": "t"}, "answer": {"steps": [["e", "z + 5", "z + 19"], ["z", "s + 20", "s + 39"], ["s", "w + 4", "w + 43"], ["w", "u + 14", "u + 57"], ["u", "q + 18", "q + 75"], ["q", 13, "88"]], "target_var_name": "t", "target_value": 88, "value_dict": {"q": 13}, "is_reverse": true}}
| 24,289
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = e + 14; a = n + 1; u = q + 18; w = u + 14; s = w + 4; e = z + 5; n = q + 5; z = s + 20; r = a + 15; q = 13; v = r + 11; f = v + 9; g = f + 14. Given that q = 13, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 5 to t, which gives t = z + 19.\n2. Substitute z = s + 20 to t, which gives t = s + 39.\n3. Substitute s = w + 4 to t, which gives t = w + 43.\n4. Substitute w = u + 14 to t, which gives t = u + 57.\n5. Substitute u = q + 18 to t, which gives t = q + 75.\n6. Substitute q = 13 to t, which gives t = 88.\n\nThus, the final answer is t = \\boxed{88}.",
"index": 24289,
"question": "Suppose a collection of variables is related by the following definitions: t = e + 14; a = n + 1; u = q + 18; w = u + 14; s = w + 4; e = z + 5; n = q + 5; z = s + 20; r = a + 15; q = 13; v = r + 11; f = v + 9; g = f + 14. Given that q = 13, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"h": "c + 13", "x": "h + 3", "w": "x + 13", "m": "w + 12", "g": "m + 2", "l": "g + 19", "b": "c + 20", "a": "b + 1", "s": "a + 14", "u": "s + 11", "p": "u + 12", "z": "p + 5", "c": 6}, "premises": {"c": 6}, "target": "l"}, "answer": {"steps": [["g", "m + 2", "m + 21"], ["m", "w + 12", "w + 33"], ["w", "x + 13", "x + 46"], ["x", "h + 3", "h + 49"], ["h", "c + 13", "c + 62"], ["c", 6, "68"]], "target_var_name": "l", "target_value": 68, "value_dict": {"c": 6}, "is_reverse": true}}
| 24,290
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = c + 13; g = m + 2; w = x + 13; m = w + 12; c = 6; x = h + 3; p = u + 12; z = p + 5; l = g + 19; u = s + 11; s = a + 14; b = c + 20; a = b + 1. Given that c = 6, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 2 to l, which gives l = m + 21.\n2. Substitute m = w + 12 to l, which gives l = w + 33.\n3. Substitute w = x + 13 to l, which gives l = x + 46.\n4. Substitute x = h + 3 to l, which gives l = h + 49.\n5. Substitute h = c + 13 to l, which gives l = c + 62.\n6. Substitute c = 6 to l, which gives l = 68.\n\nThus, the final answer is l = \\boxed{68}.",
"index": 24290,
"question": "Suppose a collection of variables is related by the following definitions: h = c + 13; g = m + 2; w = x + 13; m = w + 12; c = 6; x = h + 3; p = u + 12; z = p + 5; l = g + 19; u = s + 11; s = a + 14; b = c + 20; a = b + 1. Given that c = 6, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"g": "c + 9", "r": "g + 15", "k": "r + 5", "d": "k + 17", "s": "d + 19", "n": "s + 20", "t": "c + 4", "q": "t + 16", "x": "q + 6", "y": "x + 2", "z": "y + 6", "h": "z + 20", "c": 9}, "premises": {"c": 9}, "target": "n"}, "answer": {"steps": [["s", "d + 19", "d + 39"], ["d", "k + 17", "k + 56"], ["k", "r + 5", "r + 61"], ["r", "g + 15", "g + 76"], ["g", "c + 9", "c + 85"], ["c", 9, "94"]], "target_var_name": "n", "target_value": 94, "value_dict": {"c": 9}, "is_reverse": true}}
| 24,291
| 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 = t + 16; s = d + 19; c = 9; d = k + 17; z = y + 6; h = z + 20; k = r + 5; x = q + 6; n = s + 20; r = g + 15; g = c + 9; y = x + 2; t = c + 4. If c = 9, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 19 to n, which gives n = d + 39.\n2. Substitute d = k + 17 to n, which gives n = k + 56.\n3. Substitute k = r + 5 to n, which gives n = r + 61.\n4. Substitute r = g + 15 to n, which gives n = g + 76.\n5. Substitute g = c + 9 to n, which gives n = c + 85.\n6. Substitute c = 9 to n, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 24291,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 16; s = d + 19; c = 9; d = k + 17; z = y + 6; h = z + 20; k = r + 5; x = q + 6; n = s + 20; r = g + 15; g = c + 9; y = x + 2; t = c + 4. If c = 9, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 3", "c": "w + 5", "e": "c + 18", "s": "e + 16", "h": "s + 19", "r": "h + 2", "d": "l + 8", "a": "d + 12", "x": "a + 3", "o": "x + 10", "i": "o + 14", "y": "i + 18", "l": 1}, "premises": {"l": 1}, "target": "r"}, "answer": {"steps": [["h", "s + 19", "s + 21"], ["s", "e + 16", "e + 37"], ["e", "c + 18", "c + 55"], ["c", "w + 5", "w + 60"], ["w", "l + 3", "l + 63"], ["l", 1, "64"]], "target_var_name": "r", "target_value": 64, "value_dict": {"l": 1}, "is_reverse": true}}
| 24,292
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = w + 5; i = o + 14; e = c + 18; d = l + 8; r = h + 2; o = x + 10; s = e + 16; w = l + 3; x = a + 3; y = i + 18; a = d + 12; l = 1; h = s + 19. If l = 1, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 19 to r, which gives r = s + 21.\n2. Substitute s = e + 16 to r, which gives r = e + 37.\n3. Substitute e = c + 18 to r, which gives r = c + 55.\n4. Substitute c = w + 5 to r, which gives r = w + 60.\n5. Substitute w = l + 3 to r, which gives r = l + 63.\n6. Substitute l = 1 to r, which gives r = 64.\n\nThus, the final answer is r = \\boxed{64}.",
"index": 24292,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = w + 5; i = o + 14; e = c + 18; d = l + 8; r = h + 2; o = x + 10; s = e + 16; w = l + 3; x = a + 3; y = i + 18; a = d + 12; l = 1; h = s + 19. If l = 1, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"f": "x + 4", "i": "f + 2", "l": "i + 6", "c": "l + 8", "p": "c + 10", "z": "p + 15", "t": "x + 6", "u": "t + 8", "e": "u + 2", "y": "e + 17", "b": "y + 6", "j": "b + 16", "x": 16}, "premises": {"x": 16}, "target": "z"}, "answer": {"steps": [["p", "c + 10", "c + 25"], ["c", "l + 8", "l + 33"], ["l", "i + 6", "i + 39"], ["i", "f + 2", "f + 41"], ["f", "x + 4", "x + 45"], ["x", 16, "61"]], "target_var_name": "z", "target_value": 61, "value_dict": {"x": 16}, "is_reverse": true}}
| 24,293
| 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 = f + 2; b = y + 6; j = b + 16; y = e + 17; z = p + 15; l = i + 6; e = u + 2; u = t + 8; x = 16; f = x + 4; c = l + 8; t = x + 6; p = c + 10. If x = 16, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 10 to z, which gives z = c + 25.\n2. Substitute c = l + 8 to z, which gives z = l + 33.\n3. Substitute l = i + 6 to z, which gives z = i + 39.\n4. Substitute i = f + 2 to z, which gives z = f + 41.\n5. Substitute f = x + 4 to z, which gives z = x + 45.\n6. Substitute x = 16 to z, which gives z = 61.\n\nThus, the final answer is z = \\boxed{61}.",
"index": 24293,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 2; b = y + 6; j = b + 16; y = e + 17; z = p + 15; l = i + 6; e = u + 2; u = t + 8; x = 16; f = x + 4; c = l + 8; t = x + 6; p = c + 10. If x = 16, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"a": "b + 9", "d": "a + 17", "g": "d + 15", "n": "g + 8", "x": "n + 4", "h": "x + 15", "l": "b + 18", "r": "l + 16", "v": "r + 4", "w": "v + 10", "t": "w + 5", "p": "t + 17", "b": 18}, "premises": {"b": 18}, "target": "h"}, "answer": {"steps": [["x", "n + 4", "n + 19"], ["n", "g + 8", "g + 27"], ["g", "d + 15", "d + 42"], ["d", "a + 17", "a + 59"], ["a", "b + 9", "b + 68"], ["b", 18, "86"]], "target_var_name": "h", "target_value": 86, "value_dict": {"b": 18}, "is_reverse": true}}
| 24,294
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = v + 10; l = b + 18; v = r + 4; d = a + 17; p = t + 17; h = x + 15; r = l + 16; n = g + 8; b = 18; a = b + 9; x = n + 4; g = d + 15; t = w + 5. If b = 18, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 4 to h, which gives h = n + 19.\n2. Substitute n = g + 8 to h, which gives h = g + 27.\n3. Substitute g = d + 15 to h, which gives h = d + 42.\n4. Substitute d = a + 17 to h, which gives h = a + 59.\n5. Substitute a = b + 9 to h, which gives h = b + 68.\n6. Substitute b = 18 to h, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 24294,
"question": "Consider a system of variables where each variable is defined as follows: w = v + 10; l = b + 18; v = r + 4; d = a + 17; p = t + 17; h = x + 15; r = l + 16; n = g + 8; b = 18; a = b + 9; x = n + 4; g = d + 15; t = w + 5. If b = 18, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"a": "q + 13", "m": "a + 7", "g": "m + 1", "h": "g + 1", "n": "h + 7", "v": "n + 16", "b": "q + 1", "d": "b + 7", "j": "d + 17", "y": "j + 14", "f": "y + 12", "l": "f + 18", "q": 4}, "premises": {"q": 4}, "target": "v"}, "answer": {"steps": [["n", "h + 7", "h + 23"], ["h", "g + 1", "g + 24"], ["g", "m + 1", "m + 25"], ["m", "a + 7", "a + 32"], ["a", "q + 13", "q + 45"], ["q", 4, "49"]], "target_var_name": "v", "target_value": 49, "value_dict": {"q": 4}, "is_reverse": true}}
| 24,295
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = q + 13; v = n + 16; g = m + 1; q = 4; d = b + 7; b = q + 1; h = g + 1; l = f + 18; f = y + 12; m = a + 7; n = h + 7; j = d + 17; y = j + 14. If q = 4, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 7 to v, which gives v = h + 23.\n2. Substitute h = g + 1 to v, which gives v = g + 24.\n3. Substitute g = m + 1 to v, which gives v = m + 25.\n4. Substitute m = a + 7 to v, which gives v = a + 32.\n5. Substitute a = q + 13 to v, which gives v = q + 45.\n6. Substitute q = 4 to v, which gives v = 49.\n\nThus, the final answer is v = \\boxed{49}.",
"index": 24295,
"question": "Consider a system of variables where each variable is defined as follows: a = q + 13; v = n + 16; g = m + 1; q = 4; d = b + 7; b = q + 1; h = g + 1; l = f + 18; f = y + 12; m = a + 7; n = h + 7; j = d + 17; y = j + 14. If q = 4, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"r": "n + 2", "a": "r + 13", "b": "a + 2", "m": "b + 1", "z": "m + 14", "f": "z + 10", "x": "n + 14", "t": "x + 17", "i": "t + 10", "u": "i + 5", "k": "u + 20", "o": "k + 10", "n": 11}, "premises": {"n": 11}, "target": "f"}, "answer": {"steps": [["z", "m + 14", "m + 24"], ["m", "b + 1", "b + 25"], ["b", "a + 2", "a + 27"], ["a", "r + 13", "r + 40"], ["r", "n + 2", "n + 42"], ["n", 11, "53"]], "target_var_name": "f", "target_value": 53, "value_dict": {"n": 11}, "is_reverse": true}}
| 24,296
| 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 = 11; u = i + 5; t = x + 17; f = z + 10; r = n + 2; k = u + 20; i = t + 10; a = r + 13; x = n + 14; b = a + 2; m = b + 1; o = k + 10; z = m + 14. If n = 11, 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 z = m + 14 to f, which gives f = m + 24.\n2. Substitute m = b + 1 to f, which gives f = b + 25.\n3. Substitute b = a + 2 to f, which gives f = a + 27.\n4. Substitute a = r + 13 to f, which gives f = r + 40.\n5. Substitute r = n + 2 to f, which gives f = n + 42.\n6. Substitute n = 11 to f, which gives f = 53.\n\nThus, the final answer is f = \\boxed{53}.",
"index": 24296,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = 11; u = i + 5; t = x + 17; f = z + 10; r = n + 2; k = u + 20; i = t + 10; a = r + 13; x = n + 14; b = a + 2; m = b + 1; o = k + 10; z = m + 14. If n = 11, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"p": "l + 16", "b": "p + 20", "w": "b + 12", "x": "w + 5", "k": "x + 19", "z": "k + 7", "q": "l + 7", "n": "q + 9", "e": "n + 11", "a": "e + 5", "u": "a + 13", "t": "u + 20", "l": 1}, "premises": {"l": 1}, "target": "z"}, "answer": {"steps": [["k", "x + 19", "x + 26"], ["x", "w + 5", "w + 31"], ["w", "b + 12", "b + 43"], ["b", "p + 20", "p + 63"], ["p", "l + 16", "l + 79"], ["l", 1, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"l": 1}, "is_reverse": true}}
| 24,297
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 5; q = l + 7; u = a + 13; k = x + 19; z = k + 7; e = n + 11; b = p + 20; t = u + 20; w = b + 12; x = w + 5; p = l + 16; n = q + 9; l = 1. If l = 1, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 19 to z, which gives z = x + 26.\n2. Substitute x = w + 5 to z, which gives z = w + 31.\n3. Substitute w = b + 12 to z, which gives z = b + 43.\n4. Substitute b = p + 20 to z, which gives z = p + 63.\n5. Substitute p = l + 16 to z, which gives z = l + 79.\n6. Substitute l = 1 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 24297,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 5; q = l + 7; u = a + 13; k = x + 19; z = k + 7; e = n + 11; b = p + 20; t = u + 20; w = b + 12; x = w + 5; p = l + 16; n = q + 9; l = 1. If l = 1, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"z": "u + 2", "i": "z + 13", "c": "i + 13", "l": "c + 13", "f": "l + 5", "v": "f + 6", "t": "u + 3", "o": "t + 13", "s": "o + 6", "g": "s + 17", "h": "g + 20", "b": "h + 4", "u": 13}, "premises": {"u": 13}, "target": "v"}, "answer": {"steps": [["f", "l + 5", "l + 11"], ["l", "c + 13", "c + 24"], ["c", "i + 13", "i + 37"], ["i", "z + 13", "z + 50"], ["z", "u + 2", "u + 52"], ["u", 13, "65"]], "target_var_name": "v", "target_value": 65, "value_dict": {"u": 13}, "is_reverse": true}}
| 24,298
| 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 = f + 6; l = c + 13; t = u + 3; h = g + 20; g = s + 17; u = 13; o = t + 13; b = h + 4; s = o + 6; i = z + 13; z = u + 2; c = i + 13; f = l + 5. If u = 13, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 5 to v, which gives v = l + 11.\n2. Substitute l = c + 13 to v, which gives v = c + 24.\n3. Substitute c = i + 13 to v, which gives v = i + 37.\n4. Substitute i = z + 13 to v, which gives v = z + 50.\n5. Substitute z = u + 2 to v, which gives v = u + 52.\n6. Substitute u = 13 to v, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 24298,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = f + 6; l = c + 13; t = u + 3; h = g + 20; g = s + 17; u = 13; o = t + 13; b = h + 4; s = o + 6; i = z + 13; z = u + 2; c = i + 13; f = l + 5. If u = 13, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"s": "u + 17", "b": "s + 17", "v": "b + 5", "z": "v + 14", "f": "z + 4", "y": "f + 1", "t": "u + 19", "l": "t + 15", "e": "l + 14", "o": "e + 1", "p": "o + 4", "k": "p + 19", "u": 19}, "premises": {"u": 19}, "target": "y"}, "answer": {"steps": [["f", "z + 4", "z + 5"], ["z", "v + 14", "v + 19"], ["v", "b + 5", "b + 24"], ["b", "s + 17", "s + 41"], ["s", "u + 17", "u + 58"], ["u", 19, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"u": 19}, "is_reverse": true}}
| 24,299
| 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 = e + 1; y = f + 1; p = o + 4; f = z + 4; e = l + 14; u = 19; v = b + 5; z = v + 14; t = u + 19; s = u + 17; l = t + 15; b = s + 17; k = p + 19. If u = 19, what is the resulting value of y?",
"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 + 4 to y, which gives y = z + 5.\n2. Substitute z = v + 14 to y, which gives y = v + 19.\n3. Substitute v = b + 5 to y, which gives y = b + 24.\n4. Substitute b = s + 17 to y, which gives y = s + 41.\n5. Substitute s = u + 17 to y, which gives y = u + 58.\n6. Substitute u = 19 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 24299,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 1; y = f + 1; p = o + 4; f = z + 4; e = l + 14; u = 19; v = b + 5; z = v + 14; t = u + 19; s = u + 17; l = t + 15; b = s + 17; k = p + 19. If u = 19, what is the resulting value of y?",
"split": "train"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.