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": {"b": "k + 10", "g": "b + 13", "a": "g + 2", "n": "a + 17", "m": "n + 11", "y": "m + 12", "x": "k + 20", "c": "x + 5", "w": "c + 2", "t": "w + 3", "i": "t + 15", "h": "i + 5", "k": 9}, "premises": {"k": 9}, "target": "y"}, "answer": {"steps": [["m", "n + 11", "n + 23"], ["n", "a + 17", "a + 40"], ["a", "g + 2", "g + 42"], ["g", "b + 13", "b + 55"], ["b", "k + 10", "k + 65"], ["k", 9, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"k": 9}, "is_reverse": true}}
| 23,800
| 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 = t + 15; n = a + 17; c = x + 5; m = n + 11; y = m + 12; a = g + 2; t = w + 3; g = b + 13; h = i + 5; x = k + 20; w = c + 2; b = k + 10; k = 9. If k = 9, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 11 to y, which gives y = n + 23.\n2. Substitute n = a + 17 to y, which gives y = a + 40.\n3. Substitute a = g + 2 to y, which gives y = g + 42.\n4. Substitute g = b + 13 to y, which gives y = b + 55.\n5. Substitute b = k + 10 to y, which gives y = k + 65.\n6. Substitute k = 9 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 23800,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 15; n = a + 17; c = x + 5; m = n + 11; y = m + 12; a = g + 2; t = w + 3; g = b + 13; h = i + 5; x = k + 20; w = c + 2; b = k + 10; k = 9. If k = 9, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"h": "n + 7", "c": "h + 20", "a": "c + 17", "b": "a + 4", "l": "b + 10", "t": "l + 10", "q": "n + 12", "o": "q + 20", "x": "o + 4", "i": "x + 10", "z": "i + 10", "e": "z + 19", "n": 14}, "premises": {"n": 14}, "target": "t"}, "answer": {"steps": [["l", "b + 10", "b + 20"], ["b", "a + 4", "a + 24"], ["a", "c + 17", "c + 41"], ["c", "h + 20", "h + 61"], ["h", "n + 7", "n + 68"], ["n", 14, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"n": 14}, "is_reverse": true}}
| 23,801
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = z + 19; n = 14; b = a + 4; x = o + 4; t = l + 10; i = x + 10; h = n + 7; q = n + 12; c = h + 20; l = b + 10; z = i + 10; a = c + 17; o = q + 20. If n = 14, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 10 to t, which gives t = b + 20.\n2. Substitute b = a + 4 to t, which gives t = a + 24.\n3. Substitute a = c + 17 to t, which gives t = c + 41.\n4. Substitute c = h + 20 to t, which gives t = h + 61.\n5. Substitute h = n + 7 to t, which gives t = n + 68.\n6. Substitute n = 14 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 23801,
"question": "Consider a system of variables where each variable is defined as follows: e = z + 19; n = 14; b = a + 4; x = o + 4; t = l + 10; i = x + 10; h = n + 7; q = n + 12; c = h + 20; l = b + 10; z = i + 10; a = c + 17; o = q + 20. If n = 14, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"i": "s + 7", "z": "i + 8", "p": "z + 6", "m": "p + 10", "q": "m + 16", "c": "q + 7", "e": "s + 2", "k": "e + 4", "w": "k + 14", "h": "w + 7", "l": "h + 4", "a": "l + 6", "s": 18}, "premises": {"s": 18}, "target": "c"}, "answer": {"steps": [["q", "m + 16", "m + 23"], ["m", "p + 10", "p + 33"], ["p", "z + 6", "z + 39"], ["z", "i + 8", "i + 47"], ["i", "s + 7", "s + 54"], ["s", 18, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"s": 18}, "is_reverse": true}}
| 23,802
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = w + 7; w = k + 14; q = m + 16; m = p + 10; l = h + 4; z = i + 8; s = 18; i = s + 7; p = z + 6; k = e + 4; a = l + 6; c = q + 7; e = s + 2. Given that s = 18, find 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 q = m + 16 to c, which gives c = m + 23.\n2. Substitute m = p + 10 to c, which gives c = p + 33.\n3. Substitute p = z + 6 to c, which gives c = z + 39.\n4. Substitute z = i + 8 to c, which gives c = i + 47.\n5. Substitute i = s + 7 to c, which gives c = s + 54.\n6. Substitute s = 18 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 23802,
"question": "Suppose a collection of variables is related by the following definitions: h = w + 7; w = k + 14; q = m + 16; m = p + 10; l = h + 4; z = i + 8; s = 18; i = s + 7; p = z + 6; k = e + 4; a = l + 6; c = q + 7; e = s + 2. Given that s = 18, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"a": "h + 14", "v": "a + 7", "y": "v + 19", "j": "y + 14", "n": "j + 16", "b": "n + 6", "o": "h + 11", "x": "o + 14", "g": "x + 10", "r": "g + 9", "q": "r + 15", "c": "q + 18", "h": 2}, "premises": {"h": 2}, "target": "b"}, "answer": {"steps": [["n", "j + 16", "j + 22"], ["j", "y + 14", "y + 36"], ["y", "v + 19", "v + 55"], ["v", "a + 7", "a + 62"], ["a", "h + 14", "h + 76"], ["h", 2, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"h": 2}, "is_reverse": true}}
| 23,803
| 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 = j + 16; c = q + 18; o = h + 11; r = g + 9; y = v + 19; q = r + 15; g = x + 10; h = 2; v = a + 7; x = o + 14; b = n + 6; a = h + 14; j = y + 14. If h = 2, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 16 to b, which gives b = j + 22.\n2. Substitute j = y + 14 to b, which gives b = y + 36.\n3. Substitute y = v + 19 to b, which gives b = v + 55.\n4. Substitute v = a + 7 to b, which gives b = a + 62.\n5. Substitute a = h + 14 to b, which gives b = h + 76.\n6. Substitute h = 2 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 23803,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = j + 16; c = q + 18; o = h + 11; r = g + 9; y = v + 19; q = r + 15; g = x + 10; h = 2; v = a + 7; x = o + 14; b = n + 6; a = h + 14; j = y + 14. If h = 2, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"o": "b + 8", "z": "o + 7", "a": "z + 10", "s": "a + 13", "f": "s + 13", "k": "f + 8", "r": "b + 7", "p": "r + 3", "h": "p + 3", "c": "h + 11", "m": "c + 13", "l": "m + 12", "b": 14}, "premises": {"b": 14}, "target": "k"}, "answer": {"steps": [["f", "s + 13", "s + 21"], ["s", "a + 13", "a + 34"], ["a", "z + 10", "z + 44"], ["z", "o + 7", "o + 51"], ["o", "b + 8", "b + 59"], ["b", 14, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"b": 14}, "is_reverse": true}}
| 23,804
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = o + 7; m = c + 13; r = b + 7; p = r + 3; c = h + 11; b = 14; s = a + 13; h = p + 3; o = b + 8; f = s + 13; l = m + 12; a = z + 10; k = f + 8. Given that b = 14, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 13 to k, which gives k = s + 21.\n2. Substitute s = a + 13 to k, which gives k = a + 34.\n3. Substitute a = z + 10 to k, which gives k = z + 44.\n4. Substitute z = o + 7 to k, which gives k = o + 51.\n5. Substitute o = b + 8 to k, which gives k = b + 59.\n6. Substitute b = 14 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 23804,
"question": "Suppose a collection of variables is related by the following definitions: z = o + 7; m = c + 13; r = b + 7; p = r + 3; c = h + 11; b = 14; s = a + 13; h = p + 3; o = b + 8; f = s + 13; l = m + 12; a = z + 10; k = f + 8. Given that b = 14, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"f": "i + 13", "p": "f + 8", "t": "p + 17", "h": "t + 13", "o": "h + 14", "g": "o + 12", "q": "i + 19", "m": "q + 9", "j": "m + 13", "w": "j + 12", "y": "w + 3", "a": "y + 19", "i": 5}, "premises": {"i": 5}, "target": "g"}, "answer": {"steps": [["o", "h + 14", "h + 26"], ["h", "t + 13", "t + 39"], ["t", "p + 17", "p + 56"], ["p", "f + 8", "f + 64"], ["f", "i + 13", "i + 77"], ["i", 5, "82"]], "target_var_name": "g", "target_value": 82, "value_dict": {"i": 5}, "is_reverse": true}}
| 23,805
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = i + 13; a = y + 19; p = f + 8; m = q + 9; q = i + 19; i = 5; w = j + 12; y = w + 3; o = h + 14; h = t + 13; g = o + 12; j = m + 13; t = p + 17. Given that i = 5, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 14 to g, which gives g = h + 26.\n2. Substitute h = t + 13 to g, which gives g = t + 39.\n3. Substitute t = p + 17 to g, which gives g = p + 56.\n4. Substitute p = f + 8 to g, which gives g = f + 64.\n5. Substitute f = i + 13 to g, which gives g = i + 77.\n6. Substitute i = 5 to g, which gives g = 82.\n\nThus, the final answer is g = \\boxed{82}.",
"index": 23805,
"question": "Suppose a collection of variables is related by the following definitions: f = i + 13; a = y + 19; p = f + 8; m = q + 9; q = i + 19; i = 5; w = j + 12; y = w + 3; o = h + 14; h = t + 13; g = o + 12; j = m + 13; t = p + 17. Given that i = 5, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"d": "w + 2", "t": "d + 18", "s": "t + 6", "b": "s + 16", "j": "b + 16", "g": "j + 12", "m": "w + 16", "n": "m + 18", "i": "n + 1", "x": "i + 6", "v": "x + 12", "f": "v + 14", "w": 9}, "premises": {"w": 9}, "target": "g"}, "answer": {"steps": [["j", "b + 16", "b + 28"], ["b", "s + 16", "s + 44"], ["s", "t + 6", "t + 50"], ["t", "d + 18", "d + 68"], ["d", "w + 2", "w + 70"], ["w", 9, "79"]], "target_var_name": "g", "target_value": 79, "value_dict": {"w": 9}, "is_reverse": true}}
| 23,806
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = d + 18; x = i + 6; s = t + 6; v = x + 12; d = w + 2; g = j + 12; j = b + 16; m = w + 16; i = n + 1; f = v + 14; b = s + 16; n = m + 18; w = 9. Given that w = 9, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 16 to g, which gives g = b + 28.\n2. Substitute b = s + 16 to g, which gives g = s + 44.\n3. Substitute s = t + 6 to g, which gives g = t + 50.\n4. Substitute t = d + 18 to g, which gives g = d + 68.\n5. Substitute d = w + 2 to g, which gives g = w + 70.\n6. Substitute w = 9 to g, which gives g = 79.\n\nThus, the final answer is g = \\boxed{79}.",
"index": 23806,
"question": "Suppose a collection of variables is related by the following definitions: t = d + 18; x = i + 6; s = t + 6; v = x + 12; d = w + 2; g = j + 12; j = b + 16; m = w + 16; i = n + 1; f = v + 14; b = s + 16; n = m + 18; w = 9. Given that w = 9, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"n": "v + 10", "y": "n + 16", "p": "y + 10", "x": "p + 18", "c": "x + 10", "j": "c + 11", "e": "v + 12", "r": "e + 11", "b": "r + 13", "k": "b + 8", "z": "k + 8", "m": "z + 4", "v": 5}, "premises": {"v": 5}, "target": "j"}, "answer": {"steps": [["c", "x + 10", "x + 21"], ["x", "p + 18", "p + 39"], ["p", "y + 10", "y + 49"], ["y", "n + 16", "n + 65"], ["n", "v + 10", "v + 75"], ["v", 5, "80"]], "target_var_name": "j", "target_value": 80, "value_dict": {"v": 5}, "is_reverse": true}}
| 23,807
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = c + 11; z = k + 8; e = v + 12; p = y + 10; v = 5; n = v + 10; b = r + 13; k = b + 8; m = z + 4; c = x + 10; r = e + 11; x = p + 18; y = n + 16. If v = 5, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 10 to j, which gives j = x + 21.\n2. Substitute x = p + 18 to j, which gives j = p + 39.\n3. Substitute p = y + 10 to j, which gives j = y + 49.\n4. Substitute y = n + 16 to j, which gives j = n + 65.\n5. Substitute n = v + 10 to j, which gives j = v + 75.\n6. Substitute v = 5 to j, which gives j = 80.\n\nThus, the final answer is j = \\boxed{80}.",
"index": 23807,
"question": "Consider a system of variables where each variable is defined as follows: j = c + 11; z = k + 8; e = v + 12; p = y + 10; v = 5; n = v + 10; b = r + 13; k = b + 8; m = z + 4; c = x + 10; r = e + 11; x = p + 18; y = n + 16. If v = 5, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"g": "u + 14", "r": "g + 14", "f": "r + 17", "z": "f + 5", "o": "z + 17", "e": "o + 17", "p": "u + 13", "d": "p + 10", "h": "d + 8", "v": "h + 15", "a": "v + 8", "m": "a + 4", "u": 6}, "premises": {"u": 6}, "target": "e"}, "answer": {"steps": [["o", "z + 17", "z + 34"], ["z", "f + 5", "f + 39"], ["f", "r + 17", "r + 56"], ["r", "g + 14", "g + 70"], ["g", "u + 14", "u + 84"], ["u", 6, "90"]], "target_var_name": "e", "target_value": 90, "value_dict": {"u": 6}, "is_reverse": true}}
| 23,808
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = z + 17; z = f + 5; d = p + 10; u = 6; g = u + 14; a = v + 8; f = r + 17; v = h + 15; r = g + 14; h = d + 8; m = a + 4; e = o + 17; p = u + 13. Given that u = 6, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = z + 17 to e, which gives e = z + 34.\n2. Substitute z = f + 5 to e, which gives e = f + 39.\n3. Substitute f = r + 17 to e, which gives e = r + 56.\n4. Substitute r = g + 14 to e, which gives e = g + 70.\n5. Substitute g = u + 14 to e, which gives e = u + 84.\n6. Substitute u = 6 to e, which gives e = 90.\n\nThus, the final answer is e = \\boxed{90}.",
"index": 23808,
"question": "Suppose a collection of variables is related by the following definitions: o = z + 17; z = f + 5; d = p + 10; u = 6; g = u + 14; a = v + 8; f = r + 17; v = h + 15; r = g + 14; h = d + 8; m = a + 4; e = o + 17; p = u + 13. Given that u = 6, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"s": "r + 17", "b": "s + 19", "v": "b + 13", "c": "v + 4", "j": "c + 14", "l": "j + 19", "u": "r + 6", "t": "u + 20", "a": "t + 18", "d": "a + 1", "k": "d + 13", "n": "k + 10", "r": 8}, "premises": {"r": 8}, "target": "l"}, "answer": {"steps": [["j", "c + 14", "c + 33"], ["c", "v + 4", "v + 37"], ["v", "b + 13", "b + 50"], ["b", "s + 19", "s + 69"], ["s", "r + 17", "r + 86"], ["r", 8, "94"]], "target_var_name": "l", "target_value": 94, "value_dict": {"r": 8}, "is_reverse": true}}
| 23,809
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = r + 6; v = b + 13; n = k + 10; d = a + 1; a = t + 18; l = j + 19; j = c + 14; k = d + 13; c = v + 4; r = 8; s = r + 17; t = u + 20; b = s + 19. If r = 8, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 14 to l, which gives l = c + 33.\n2. Substitute c = v + 4 to l, which gives l = v + 37.\n3. Substitute v = b + 13 to l, which gives l = b + 50.\n4. Substitute b = s + 19 to l, which gives l = s + 69.\n5. Substitute s = r + 17 to l, which gives l = r + 86.\n6. Substitute r = 8 to l, which gives l = 94.\n\nThus, the final answer is l = \\boxed{94}.",
"index": 23809,
"question": "Consider a system of variables where each variable is defined as follows: u = r + 6; v = b + 13; n = k + 10; d = a + 1; a = t + 18; l = j + 19; j = c + 14; k = d + 13; c = v + 4; r = 8; s = r + 17; t = u + 20; b = s + 19. If r = 8, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"e": "i + 4", "v": "e + 13", "j": "v + 17", "z": "j + 15", "n": "z + 19", "q": "n + 18", "h": "i + 4", "l": "h + 14", "y": "l + 13", "r": "y + 11", "c": "r + 2", "g": "c + 20", "i": 11}, "premises": {"i": 11}, "target": "q"}, "answer": {"steps": [["n", "z + 19", "z + 37"], ["z", "j + 15", "j + 52"], ["j", "v + 17", "v + 69"], ["v", "e + 13", "e + 82"], ["e", "i + 4", "i + 86"], ["i", 11, "97"]], "target_var_name": "q", "target_value": 97, "value_dict": {"i": 11}, "is_reverse": true}}
| 23,810
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 14; c = r + 2; i = 11; q = n + 18; y = l + 13; v = e + 13; z = j + 15; h = i + 4; n = z + 19; r = y + 11; e = i + 4; g = c + 20; j = v + 17. If i = 11, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 19 to q, which gives q = z + 37.\n2. Substitute z = j + 15 to q, which gives q = j + 52.\n3. Substitute j = v + 17 to q, which gives q = v + 69.\n4. Substitute v = e + 13 to q, which gives q = e + 82.\n5. Substitute e = i + 4 to q, which gives q = i + 86.\n6. Substitute i = 11 to q, which gives q = 97.\n\nThus, the final answer is q = \\boxed{97}.",
"index": 23810,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 14; c = r + 2; i = 11; q = n + 18; y = l + 13; v = e + 13; z = j + 15; h = i + 4; n = z + 19; r = y + 11; e = i + 4; g = c + 20; j = v + 17. If i = 11, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"i": "l + 5", "b": "i + 4", "p": "b + 3", "j": "p + 15", "e": "j + 6", "o": "e + 17", "r": "l + 17", "s": "r + 6", "y": "s + 6", "a": "y + 12", "w": "a + 9", "u": "w + 2", "l": 5}, "premises": {"l": 5}, "target": "o"}, "answer": {"steps": [["e", "j + 6", "j + 23"], ["j", "p + 15", "p + 38"], ["p", "b + 3", "b + 41"], ["b", "i + 4", "i + 45"], ["i", "l + 5", "l + 50"], ["l", 5, "55"]], "target_var_name": "o", "target_value": 55, "value_dict": {"l": 5}, "is_reverse": true}}
| 23,811
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = r + 6; j = p + 15; y = s + 6; i = l + 5; u = w + 2; e = j + 6; p = b + 3; w = a + 9; a = y + 12; o = e + 17; l = 5; b = i + 4; r = l + 17. If l = 5, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 6 to o, which gives o = j + 23.\n2. Substitute j = p + 15 to o, which gives o = p + 38.\n3. Substitute p = b + 3 to o, which gives o = b + 41.\n4. Substitute b = i + 4 to o, which gives o = i + 45.\n5. Substitute i = l + 5 to o, which gives o = l + 50.\n6. Substitute l = 5 to o, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 23811,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = r + 6; j = p + 15; y = s + 6; i = l + 5; u = w + 2; e = j + 6; p = b + 3; w = a + 9; a = y + 12; o = e + 17; l = 5; b = i + 4; r = l + 17. If l = 5, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"u": "w + 8", "r": "u + 16", "n": "r + 9", "p": "n + 4", "e": "p + 11", "t": "e + 2", "c": "w + 11", "d": "c + 20", "h": "d + 9", "y": "h + 20", "o": "y + 17", "b": "o + 7", "w": 11}, "premises": {"w": 11}, "target": "t"}, "answer": {"steps": [["e", "p + 11", "p + 13"], ["p", "n + 4", "n + 17"], ["n", "r + 9", "r + 26"], ["r", "u + 16", "u + 42"], ["u", "w + 8", "w + 50"], ["w", 11, "61"]], "target_var_name": "t", "target_value": 61, "value_dict": {"w": 11}, "is_reverse": true}}
| 23,812
| 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 + 11; o = y + 17; c = w + 11; r = u + 16; p = n + 4; b = o + 7; n = r + 9; h = d + 9; t = e + 2; w = 11; y = h + 20; d = c + 20; u = w + 8. If w = 11, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 11 to t, which gives t = p + 13.\n2. Substitute p = n + 4 to t, which gives t = n + 17.\n3. Substitute n = r + 9 to t, which gives t = r + 26.\n4. Substitute r = u + 16 to t, which gives t = u + 42.\n5. Substitute u = w + 8 to t, which gives t = w + 50.\n6. Substitute w = 11 to t, which gives t = 61.\n\nThus, the final answer is t = \\boxed{61}.",
"index": 23812,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 11; o = y + 17; c = w + 11; r = u + 16; p = n + 4; b = o + 7; n = r + 9; h = d + 9; t = e + 2; w = 11; y = h + 20; d = c + 20; u = w + 8. If w = 11, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"j": "s + 20", "f": "j + 5", "r": "f + 3", "q": "r + 19", "t": "q + 20", "k": "t + 20", "b": "s + 6", "e": "b + 3", "z": "e + 16", "l": "z + 2", "o": "l + 1", "v": "o + 18", "s": 7}, "premises": {"s": 7}, "target": "k"}, "answer": {"steps": [["t", "q + 20", "q + 40"], ["q", "r + 19", "r + 59"], ["r", "f + 3", "f + 62"], ["f", "j + 5", "j + 67"], ["j", "s + 20", "s + 87"], ["s", 7, "94"]], "target_var_name": "k", "target_value": 94, "value_dict": {"s": 7}, "is_reverse": true}}
| 23,813
| 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 = f + 3; e = b + 3; f = j + 5; j = s + 20; b = s + 6; s = 7; l = z + 2; q = r + 19; o = l + 1; z = e + 16; k = t + 20; t = q + 20; v = o + 18. If s = 7, 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 = q + 20 to k, which gives k = q + 40.\n2. Substitute q = r + 19 to k, which gives k = r + 59.\n3. Substitute r = f + 3 to k, which gives k = f + 62.\n4. Substitute f = j + 5 to k, which gives k = j + 67.\n5. Substitute j = s + 20 to k, which gives k = s + 87.\n6. Substitute s = 7 to k, which gives k = 94.\n\nThus, the final answer is k = \\boxed{94}.",
"index": 23813,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = f + 3; e = b + 3; f = j + 5; j = s + 20; b = s + 6; s = 7; l = z + 2; q = r + 19; o = l + 1; z = e + 16; k = t + 20; t = q + 20; v = o + 18. If s = 7, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"n": "p + 6", "o": "n + 5", "m": "o + 5", "i": "m + 9", "t": "i + 13", "f": "t + 11", "u": "p + 13", "e": "u + 3", "l": "e + 7", "s": "l + 8", "a": "s + 19", "x": "a + 8", "p": 12}, "premises": {"p": 12}, "target": "f"}, "answer": {"steps": [["t", "i + 13", "i + 24"], ["i", "m + 9", "m + 33"], ["m", "o + 5", "o + 38"], ["o", "n + 5", "n + 43"], ["n", "p + 6", "p + 49"], ["p", 12, "61"]], "target_var_name": "f", "target_value": 61, "value_dict": {"p": 12}, "is_reverse": true}}
| 23,814
| 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 = a + 8; i = m + 9; l = e + 7; u = p + 13; e = u + 3; o = n + 5; t = i + 13; a = s + 19; m = o + 5; n = p + 6; s = l + 8; p = 12; f = t + 11. If p = 12, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 13 to f, which gives f = i + 24.\n2. Substitute i = m + 9 to f, which gives f = m + 33.\n3. Substitute m = o + 5 to f, which gives f = o + 38.\n4. Substitute o = n + 5 to f, which gives f = n + 43.\n5. Substitute n = p + 6 to f, which gives f = p + 49.\n6. Substitute p = 12 to f, which gives f = 61.\n\nThus, the final answer is f = \\boxed{61}.",
"index": 23814,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = a + 8; i = m + 9; l = e + 7; u = p + 13; e = u + 3; o = n + 5; t = i + 13; a = s + 19; m = o + 5; n = p + 6; s = l + 8; p = 12; f = t + 11. If p = 12, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"l": "x + 5", "v": "l + 16", "b": "v + 3", "s": "b + 14", "c": "s + 10", "f": "c + 19", "n": "x + 12", "o": "n + 6", "d": "o + 11", "u": "d + 3", "k": "u + 1", "j": "k + 19", "x": 3}, "premises": {"x": 3}, "target": "f"}, "answer": {"steps": [["c", "s + 10", "s + 29"], ["s", "b + 14", "b + 43"], ["b", "v + 3", "v + 46"], ["v", "l + 16", "l + 62"], ["l", "x + 5", "x + 67"], ["x", 3, "70"]], "target_var_name": "f", "target_value": 70, "value_dict": {"x": 3}, "is_reverse": true}}
| 23,815
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = k + 19; v = l + 16; s = b + 14; o = n + 6; b = v + 3; n = x + 12; x = 3; l = x + 5; f = c + 19; d = o + 11; u = d + 3; k = u + 1; c = s + 10. If x = 3, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 10 to f, which gives f = s + 29.\n2. Substitute s = b + 14 to f, which gives f = b + 43.\n3. Substitute b = v + 3 to f, which gives f = v + 46.\n4. Substitute v = l + 16 to f, which gives f = l + 62.\n5. Substitute l = x + 5 to f, which gives f = x + 67.\n6. Substitute x = 3 to f, which gives f = 70.\n\nThus, the final answer is f = \\boxed{70}.",
"index": 23815,
"question": "Consider a system of variables where each variable is defined as follows: j = k + 19; v = l + 16; s = b + 14; o = n + 6; b = v + 3; n = x + 12; x = 3; l = x + 5; f = c + 19; d = o + 11; u = d + 3; k = u + 1; c = s + 10. If x = 3, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"n": "h + 11", "a": "n + 12", "w": "a + 18", "x": "w + 4", "q": "x + 2", "p": "q + 6", "y": "h + 8", "l": "y + 19", "c": "l + 8", "j": "c + 17", "v": "j + 8", "d": "v + 7", "h": 2}, "premises": {"h": 2}, "target": "p"}, "answer": {"steps": [["q", "x + 2", "x + 8"], ["x", "w + 4", "w + 12"], ["w", "a + 18", "a + 30"], ["a", "n + 12", "n + 42"], ["n", "h + 11", "h + 53"], ["h", 2, "55"]], "target_var_name": "p", "target_value": 55, "value_dict": {"h": 2}, "is_reverse": true}}
| 23,816
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 7; h = 2; c = l + 8; p = q + 6; a = n + 12; q = x + 2; y = h + 8; n = h + 11; v = j + 8; w = a + 18; l = y + 19; x = w + 4; j = c + 17. If h = 2, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 2 to p, which gives p = x + 8.\n2. Substitute x = w + 4 to p, which gives p = w + 12.\n3. Substitute w = a + 18 to p, which gives p = a + 30.\n4. Substitute a = n + 12 to p, which gives p = n + 42.\n5. Substitute n = h + 11 to p, which gives p = h + 53.\n6. Substitute h = 2 to p, which gives p = 55.\n\nThus, the final answer is p = \\boxed{55}.",
"index": 23816,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 7; h = 2; c = l + 8; p = q + 6; a = n + 12; q = x + 2; y = h + 8; n = h + 11; v = j + 8; w = a + 18; l = y + 19; x = w + 4; j = c + 17. If h = 2, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"z": "t + 10", "p": "z + 19", "f": "p + 7", "w": "f + 12", "u": "w + 14", "c": "u + 5", "k": "t + 5", "v": "k + 11", "h": "v + 2", "b": "h + 5", "q": "b + 15", "a": "q + 3", "t": 9}, "premises": {"t": 9}, "target": "c"}, "answer": {"steps": [["u", "w + 14", "w + 19"], ["w", "f + 12", "f + 31"], ["f", "p + 7", "p + 38"], ["p", "z + 19", "z + 57"], ["z", "t + 10", "t + 67"], ["t", 9, "76"]], "target_var_name": "c", "target_value": 76, "value_dict": {"t": 9}, "is_reverse": true}}
| 23,817
| 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 = 9; c = u + 5; p = z + 19; v = k + 11; k = t + 5; a = q + 3; h = v + 2; q = b + 15; w = f + 12; z = t + 10; u = w + 14; b = h + 5; f = p + 7. If t = 9, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 14 to c, which gives c = w + 19.\n2. Substitute w = f + 12 to c, which gives c = f + 31.\n3. Substitute f = p + 7 to c, which gives c = p + 38.\n4. Substitute p = z + 19 to c, which gives c = z + 57.\n5. Substitute z = t + 10 to c, which gives c = t + 67.\n6. Substitute t = 9 to c, which gives c = 76.\n\nThus, the final answer is c = \\boxed{76}.",
"index": 23817,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = 9; c = u + 5; p = z + 19; v = k + 11; k = t + 5; a = q + 3; h = v + 2; q = b + 15; w = f + 12; z = t + 10; u = w + 14; b = h + 5; f = p + 7. If t = 9, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"u": "s + 12", "n": "u + 1", "i": "n + 6", "z": "i + 16", "q": "z + 3", "y": "q + 5", "t": "s + 9", "o": "t + 8", "x": "o + 13", "b": "x + 19", "k": "b + 7", "c": "k + 1", "s": 13}, "premises": {"s": 13}, "target": "y"}, "answer": {"steps": [["q", "z + 3", "z + 8"], ["z", "i + 16", "i + 24"], ["i", "n + 6", "n + 30"], ["n", "u + 1", "u + 31"], ["u", "s + 12", "s + 43"], ["s", 13, "56"]], "target_var_name": "y", "target_value": 56, "value_dict": {"s": 13}, "is_reverse": true}}
| 23,818
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = b + 7; b = x + 19; o = t + 8; z = i + 16; i = n + 6; s = 13; n = u + 1; u = s + 12; c = k + 1; x = o + 13; q = z + 3; y = q + 5; t = s + 9. Given that s = 13, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 3 to y, which gives y = z + 8.\n2. Substitute z = i + 16 to y, which gives y = i + 24.\n3. Substitute i = n + 6 to y, which gives y = n + 30.\n4. Substitute n = u + 1 to y, which gives y = u + 31.\n5. Substitute u = s + 12 to y, which gives y = s + 43.\n6. Substitute s = 13 to y, which gives y = 56.\n\nThus, the final answer is y = \\boxed{56}.",
"index": 23818,
"question": "Suppose a collection of variables is related by the following definitions: k = b + 7; b = x + 19; o = t + 8; z = i + 16; i = n + 6; s = 13; n = u + 1; u = s + 12; c = k + 1; x = o + 13; q = z + 3; y = q + 5; t = s + 9. Given that s = 13, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"s": "m + 3", "b": "s + 9", "g": "b + 4", "d": "g + 12", "f": "d + 3", "k": "f + 15", "o": "m + 10", "i": "o + 16", "x": "i + 11", "w": "x + 12", "p": "w + 9", "c": "p + 5", "m": 18}, "premises": {"m": 18}, "target": "k"}, "answer": {"steps": [["f", "d + 3", "d + 18"], ["d", "g + 12", "g + 30"], ["g", "b + 4", "b + 34"], ["b", "s + 9", "s + 43"], ["s", "m + 3", "m + 46"], ["m", 18, "64"]], "target_var_name": "k", "target_value": 64, "value_dict": {"m": 18}, "is_reverse": true}}
| 23,819
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = m + 3; d = g + 12; f = d + 3; k = f + 15; b = s + 9; o = m + 10; x = i + 11; i = o + 16; g = b + 4; w = x + 12; c = p + 5; p = w + 9; m = 18. Given that m = 18, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 3 to k, which gives k = d + 18.\n2. Substitute d = g + 12 to k, which gives k = g + 30.\n3. Substitute g = b + 4 to k, which gives k = b + 34.\n4. Substitute b = s + 9 to k, which gives k = s + 43.\n5. Substitute s = m + 3 to k, which gives k = m + 46.\n6. Substitute m = 18 to k, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 23819,
"question": "Suppose a collection of variables is related by the following definitions: s = m + 3; d = g + 12; f = d + 3; k = f + 15; b = s + 9; o = m + 10; x = i + 11; i = o + 16; g = b + 4; w = x + 12; c = p + 5; p = w + 9; m = 18. Given that m = 18, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"o": "i + 20", "a": "o + 20", "e": "a + 9", "k": "e + 20", "d": "k + 5", "q": "d + 15", "f": "i + 15", "x": "f + 20", "j": "x + 5", "t": "j + 4", "y": "t + 12", "h": "y + 14", "i": 3}, "premises": {"i": 3}, "target": "q"}, "answer": {"steps": [["d", "k + 5", "k + 20"], ["k", "e + 20", "e + 40"], ["e", "a + 9", "a + 49"], ["a", "o + 20", "o + 69"], ["o", "i + 20", "i + 89"], ["i", 3, "92"]], "target_var_name": "q", "target_value": 92, "value_dict": {"i": 3}, "is_reverse": true}}
| 23,820
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 20; j = x + 5; i = 3; t = j + 4; e = a + 9; a = o + 20; h = y + 14; y = t + 12; q = d + 15; x = f + 20; d = k + 5; o = i + 20; f = i + 15. If i = 3, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 5 to q, which gives q = k + 20.\n2. Substitute k = e + 20 to q, which gives q = e + 40.\n3. Substitute e = a + 9 to q, which gives q = a + 49.\n4. Substitute a = o + 20 to q, which gives q = o + 69.\n5. Substitute o = i + 20 to q, which gives q = i + 89.\n6. Substitute i = 3 to q, which gives q = 92.\n\nThus, the final answer is q = \\boxed{92}.",
"index": 23820,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 20; j = x + 5; i = 3; t = j + 4; e = a + 9; a = o + 20; h = y + 14; y = t + 12; q = d + 15; x = f + 20; d = k + 5; o = i + 20; f = i + 15. If i = 3, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"u": "e + 15", "o": "u + 20", "d": "o + 15", "a": "d + 3", "v": "a + 17", "c": "v + 1", "h": "e + 7", "g": "h + 3", "j": "g + 19", "z": "j + 2", "f": "z + 7", "q": "f + 2", "e": 20}, "premises": {"e": 20}, "target": "c"}, "answer": {"steps": [["v", "a + 17", "a + 18"], ["a", "d + 3", "d + 21"], ["d", "o + 15", "o + 36"], ["o", "u + 20", "u + 56"], ["u", "e + 15", "e + 71"], ["e", 20, "91"]], "target_var_name": "c", "target_value": 91, "value_dict": {"e": 20}, "is_reverse": true}}
| 23,821
| 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 = z + 7; e = 20; h = e + 7; c = v + 1; q = f + 2; o = u + 20; g = h + 3; j = g + 19; v = a + 17; d = o + 15; z = j + 2; a = d + 3; u = e + 15. If e = 20, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 17 to c, which gives c = a + 18.\n2. Substitute a = d + 3 to c, which gives c = d + 21.\n3. Substitute d = o + 15 to c, which gives c = o + 36.\n4. Substitute o = u + 20 to c, which gives c = u + 56.\n5. Substitute u = e + 15 to c, which gives c = e + 71.\n6. Substitute e = 20 to c, which gives c = 91.\n\nThus, the final answer is c = \\boxed{91}.",
"index": 23821,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = z + 7; e = 20; h = e + 7; c = v + 1; q = f + 2; o = u + 20; g = h + 3; j = g + 19; v = a + 17; d = o + 15; z = j + 2; a = d + 3; u = e + 15. If e = 20, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 20", "y": "f + 17", "a": "y + 17", "c": "a + 17", "i": "c + 20", "s": "i + 17", "u": "q + 3", "b": "u + 14", "e": "b + 9", "j": "e + 19", "p": "j + 15", "k": "p + 20", "q": 18}, "premises": {"q": 18}, "target": "s"}, "answer": {"steps": [["i", "c + 20", "c + 37"], ["c", "a + 17", "a + 54"], ["a", "y + 17", "y + 71"], ["y", "f + 17", "f + 88"], ["f", "q + 20", "q + 108"], ["q", 18, "126"]], "target_var_name": "s", "target_value": 126, "value_dict": {"q": 18}, "is_reverse": true}}
| 23,822
| 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 = 18; s = i + 17; p = j + 15; a = y + 17; b = u + 14; i = c + 20; k = p + 20; e = b + 9; y = f + 17; u = q + 3; f = q + 20; j = e + 19; c = a + 17. If q = 18, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 126,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 20 to s, which gives s = c + 37.\n2. Substitute c = a + 17 to s, which gives s = a + 54.\n3. Substitute a = y + 17 to s, which gives s = y + 71.\n4. Substitute y = f + 17 to s, which gives s = f + 88.\n5. Substitute f = q + 20 to s, which gives s = q + 108.\n6. Substitute q = 18 to s, which gives s = 126.\n\nThus, the final answer is s = \\boxed{126}.",
"index": 23822,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 18; s = i + 17; p = j + 15; a = y + 17; b = u + 14; i = c + 20; k = p + 20; e = b + 9; y = f + 17; u = q + 3; f = q + 20; j = e + 19; c = a + 17. If q = 18, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"r": "y + 7", "f": "r + 11", "i": "f + 3", "s": "i + 18", "d": "s + 6", "h": "d + 13", "p": "y + 12", "q": "p + 20", "w": "q + 20", "t": "w + 6", "n": "t + 6", "e": "n + 11", "y": 17}, "premises": {"y": 17}, "target": "h"}, "answer": {"steps": [["d", "s + 6", "s + 19"], ["s", "i + 18", "i + 37"], ["i", "f + 3", "f + 40"], ["f", "r + 11", "r + 51"], ["r", "y + 7", "y + 58"], ["y", 17, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"y": 17}, "is_reverse": true}}
| 23,823
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = i + 18; e = n + 11; d = s + 6; p = y + 12; f = r + 11; y = 17; r = y + 7; w = q + 20; i = f + 3; q = p + 20; t = w + 6; h = d + 13; n = t + 6. If y = 17, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 6 to h, which gives h = s + 19.\n2. Substitute s = i + 18 to h, which gives h = i + 37.\n3. Substitute i = f + 3 to h, which gives h = f + 40.\n4. Substitute f = r + 11 to h, which gives h = r + 51.\n5. Substitute r = y + 7 to h, which gives h = y + 58.\n6. Substitute y = 17 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 23823,
"question": "Consider a system of variables where each variable is defined as follows: s = i + 18; e = n + 11; d = s + 6; p = y + 12; f = r + 11; y = 17; r = y + 7; w = q + 20; i = f + 3; q = p + 20; t = w + 6; h = d + 13; n = t + 6. If y = 17, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"p": "y + 3", "v": "p + 10", "d": "v + 2", "n": "d + 7", "e": "n + 4", "c": "e + 19", "w": "y + 14", "i": "w + 20", "m": "i + 4", "o": "m + 20", "r": "o + 18", "k": "r + 13", "y": 3}, "premises": {"y": 3}, "target": "c"}, "answer": {"steps": [["e", "n + 4", "n + 23"], ["n", "d + 7", "d + 30"], ["d", "v + 2", "v + 32"], ["v", "p + 10", "p + 42"], ["p", "y + 3", "y + 45"], ["y", 3, "48"]], "target_var_name": "c", "target_value": 48, "value_dict": {"y": 3}, "is_reverse": true}}
| 23,824
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = v + 2; i = w + 20; n = d + 7; w = y + 14; y = 3; r = o + 18; c = e + 19; e = n + 4; m = i + 4; o = m + 20; v = p + 10; k = r + 13; p = y + 3. Given that y = 3, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 4 to c, which gives c = n + 23.\n2. Substitute n = d + 7 to c, which gives c = d + 30.\n3. Substitute d = v + 2 to c, which gives c = v + 32.\n4. Substitute v = p + 10 to c, which gives c = p + 42.\n5. Substitute p = y + 3 to c, which gives c = y + 45.\n6. Substitute y = 3 to c, which gives c = 48.\n\nThus, the final answer is c = \\boxed{48}.",
"index": 23824,
"question": "Suppose a collection of variables is related by the following definitions: d = v + 2; i = w + 20; n = d + 7; w = y + 14; y = 3; r = o + 18; c = e + 19; e = n + 4; m = i + 4; o = m + 20; v = p + 10; k = r + 13; p = y + 3. Given that y = 3, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"h": "x + 16", "n": "h + 20", "j": "n + 9", "y": "j + 19", "r": "y + 11", "z": "r + 8", "c": "x + 20", "k": "c + 19", "o": "k + 5", "p": "o + 3", "m": "p + 4", "e": "m + 11", "x": 11}, "premises": {"x": 11}, "target": "z"}, "answer": {"steps": [["r", "y + 11", "y + 19"], ["y", "j + 19", "j + 38"], ["j", "n + 9", "n + 47"], ["n", "h + 20", "h + 67"], ["h", "x + 16", "x + 83"], ["x", 11, "94"]], "target_var_name": "z", "target_value": 94, "value_dict": {"x": 11}, "is_reverse": true}}
| 23,825
| 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 = y + 11; e = m + 11; h = x + 16; n = h + 20; j = n + 9; x = 11; p = o + 3; k = c + 19; m = p + 4; c = x + 20; o = k + 5; y = j + 19; z = r + 8. If x = 11, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 11 to z, which gives z = y + 19.\n2. Substitute y = j + 19 to z, which gives z = j + 38.\n3. Substitute j = n + 9 to z, which gives z = n + 47.\n4. Substitute n = h + 20 to z, which gives z = h + 67.\n5. Substitute h = x + 16 to z, which gives z = x + 83.\n6. Substitute x = 11 to z, which gives z = 94.\n\nThus, the final answer is z = \\boxed{94}.",
"index": 23825,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = y + 11; e = m + 11; h = x + 16; n = h + 20; j = n + 9; x = 11; p = o + 3; k = c + 19; m = p + 4; c = x + 20; o = k + 5; y = j + 19; z = r + 8. If x = 11, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"x": "s + 14", "w": "x + 12", "l": "w + 7", "y": "l + 18", "z": "y + 20", "a": "z + 19", "r": "s + 4", "v": "r + 16", "b": "v + 15", "u": "b + 8", "o": "u + 4", "f": "o + 20", "s": 13}, "premises": {"s": 13}, "target": "a"}, "answer": {"steps": [["z", "y + 20", "y + 39"], ["y", "l + 18", "l + 57"], ["l", "w + 7", "w + 64"], ["w", "x + 12", "x + 76"], ["x", "s + 14", "s + 90"], ["s", 13, "103"]], "target_var_name": "a", "target_value": 103, "value_dict": {"s": 13}, "is_reverse": true}}
| 23,826
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = y + 20; b = v + 15; f = o + 20; x = s + 14; w = x + 12; a = z + 19; s = 13; y = l + 18; r = s + 4; v = r + 16; o = u + 4; l = w + 7; u = b + 8. Given that s = 13, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 20 to a, which gives a = y + 39.\n2. Substitute y = l + 18 to a, which gives a = l + 57.\n3. Substitute l = w + 7 to a, which gives a = w + 64.\n4. Substitute w = x + 12 to a, which gives a = x + 76.\n5. Substitute x = s + 14 to a, which gives a = s + 90.\n6. Substitute s = 13 to a, which gives a = 103.\n\nThus, the final answer is a = \\boxed{103}.",
"index": 23826,
"question": "Suppose a collection of variables is related by the following definitions: z = y + 20; b = v + 15; f = o + 20; x = s + 14; w = x + 12; a = z + 19; s = 13; y = l + 18; r = s + 4; v = r + 16; o = u + 4; l = w + 7; u = b + 8. Given that s = 13, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"t": "i + 10", "c": "t + 5", "v": "c + 2", "p": "v + 17", "g": "p + 2", "o": "g + 11", "j": "i + 5", "k": "j + 20", "s": "k + 12", "l": "s + 2", "w": "l + 14", "f": "w + 2", "i": 7}, "premises": {"i": 7}, "target": "o"}, "answer": {"steps": [["g", "p + 2", "p + 13"], ["p", "v + 17", "v + 30"], ["v", "c + 2", "c + 32"], ["c", "t + 5", "t + 37"], ["t", "i + 10", "i + 47"], ["i", 7, "54"]], "target_var_name": "o", "target_value": 54, "value_dict": {"i": 7}, "is_reverse": true}}
| 23,827
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = l + 14; t = i + 10; v = c + 2; k = j + 20; l = s + 2; p = v + 17; s = k + 12; j = i + 5; g = p + 2; c = t + 5; o = g + 11; i = 7; f = w + 2. Given that i = 7, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 2 to o, which gives o = p + 13.\n2. Substitute p = v + 17 to o, which gives o = v + 30.\n3. Substitute v = c + 2 to o, which gives o = c + 32.\n4. Substitute c = t + 5 to o, which gives o = t + 37.\n5. Substitute t = i + 10 to o, which gives o = i + 47.\n6. Substitute i = 7 to o, which gives o = 54.\n\nThus, the final answer is o = \\boxed{54}.",
"index": 23827,
"question": "Suppose a collection of variables is related by the following definitions: w = l + 14; t = i + 10; v = c + 2; k = j + 20; l = s + 2; p = v + 17; s = k + 12; j = i + 5; g = p + 2; c = t + 5; o = g + 11; i = 7; f = w + 2. Given that i = 7, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"t": "e + 4", "o": "t + 8", "i": "o + 3", "c": "i + 13", "a": "c + 14", "s": "a + 19", "y": "e + 5", "v": "y + 14", "q": "v + 7", "z": "q + 13", "l": "z + 4", "m": "l + 13", "e": 2}, "premises": {"e": 2}, "target": "s"}, "answer": {"steps": [["a", "c + 14", "c + 33"], ["c", "i + 13", "i + 46"], ["i", "o + 3", "o + 49"], ["o", "t + 8", "t + 57"], ["t", "e + 4", "e + 61"], ["e", 2, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"e": 2}, "is_reverse": true}}
| 23,828
| 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 = o + 3; v = y + 14; m = l + 13; y = e + 5; z = q + 13; o = t + 8; s = a + 19; e = 2; q = v + 7; l = z + 4; t = e + 4; a = c + 14; c = i + 13. If e = 2, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 14 to s, which gives s = c + 33.\n2. Substitute c = i + 13 to s, which gives s = i + 46.\n3. Substitute i = o + 3 to s, which gives s = o + 49.\n4. Substitute o = t + 8 to s, which gives s = t + 57.\n5. Substitute t = e + 4 to s, which gives s = e + 61.\n6. Substitute e = 2 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 23828,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 3; v = y + 14; m = l + 13; y = e + 5; z = q + 13; o = t + 8; s = a + 19; e = 2; q = v + 7; l = z + 4; t = e + 4; a = c + 14; c = i + 13. If e = 2, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"x": "h + 6", "o": "x + 6", "g": "o + 17", "s": "g + 14", "m": "s + 2", "u": "m + 7", "p": "h + 12", "i": "p + 11", "w": "i + 1", "l": "w + 18", "f": "l + 9", "z": "f + 5", "h": 5}, "premises": {"h": 5}, "target": "u"}, "answer": {"steps": [["m", "s + 2", "s + 9"], ["s", "g + 14", "g + 23"], ["g", "o + 17", "o + 40"], ["o", "x + 6", "x + 46"], ["x", "h + 6", "h + 52"], ["h", 5, "57"]], "target_var_name": "u", "target_value": 57, "value_dict": {"h": 5}, "is_reverse": true}}
| 23,829
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = o + 17; i = p + 11; z = f + 5; m = s + 2; f = l + 9; s = g + 14; u = m + 7; h = 5; w = i + 1; x = h + 6; l = w + 18; p = h + 12; o = x + 6. If h = 5, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 2 to u, which gives u = s + 9.\n2. Substitute s = g + 14 to u, which gives u = g + 23.\n3. Substitute g = o + 17 to u, which gives u = o + 40.\n4. Substitute o = x + 6 to u, which gives u = x + 46.\n5. Substitute x = h + 6 to u, which gives u = h + 52.\n6. Substitute h = 5 to u, which gives u = 57.\n\nThus, the final answer is u = \\boxed{57}.",
"index": 23829,
"question": "Consider a system of variables where each variable is defined as follows: g = o + 17; i = p + 11; z = f + 5; m = s + 2; f = l + 9; s = g + 14; u = m + 7; h = 5; w = i + 1; x = h + 6; l = w + 18; p = h + 12; o = x + 6. If h = 5, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"a": "o + 17", "l": "a + 9", "x": "l + 19", "k": "x + 12", "w": "k + 5", "c": "w + 5", "f": "o + 1", "z": "f + 18", "n": "z + 11", "y": "n + 10", "i": "y + 14", "b": "i + 13", "o": 7}, "premises": {"o": 7}, "target": "c"}, "answer": {"steps": [["w", "k + 5", "k + 10"], ["k", "x + 12", "x + 22"], ["x", "l + 19", "l + 41"], ["l", "a + 9", "a + 50"], ["a", "o + 17", "o + 67"], ["o", 7, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"o": 7}, "is_reverse": true}}
| 23,830
| 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 = y + 14; y = n + 10; l = a + 9; c = w + 5; x = l + 19; w = k + 5; f = o + 1; z = f + 18; o = 7; b = i + 13; a = o + 17; n = z + 11; k = x + 12. If o = 7, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 5 to c, which gives c = k + 10.\n2. Substitute k = x + 12 to c, which gives c = x + 22.\n3. Substitute x = l + 19 to c, which gives c = l + 41.\n4. Substitute l = a + 9 to c, which gives c = a + 50.\n5. Substitute a = o + 17 to c, which gives c = o + 67.\n6. Substitute o = 7 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 23830,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 14; y = n + 10; l = a + 9; c = w + 5; x = l + 19; w = k + 5; f = o + 1; z = f + 18; o = 7; b = i + 13; a = o + 17; n = z + 11; k = x + 12. If o = 7, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"i": "h + 18", "v": "i + 20", "e": "v + 19", "s": "e + 13", "a": "s + 16", "l": "a + 15", "t": "h + 6", "g": "t + 4", "f": "g + 3", "n": "f + 10", "x": "n + 11", "z": "x + 8", "h": 18}, "premises": {"h": 18}, "target": "l"}, "answer": {"steps": [["a", "s + 16", "s + 31"], ["s", "e + 13", "e + 44"], ["e", "v + 19", "v + 63"], ["v", "i + 20", "i + 83"], ["i", "h + 18", "h + 101"], ["h", 18, "119"]], "target_var_name": "l", "target_value": 119, "value_dict": {"h": 18}, "is_reverse": true}}
| 23,831
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = n + 11; a = s + 16; f = g + 3; l = a + 15; g = t + 4; z = x + 8; h = 18; n = f + 10; s = e + 13; e = v + 19; t = h + 6; v = i + 20; i = h + 18. Given that h = 18, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 119,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 16 to l, which gives l = s + 31.\n2. Substitute s = e + 13 to l, which gives l = e + 44.\n3. Substitute e = v + 19 to l, which gives l = v + 63.\n4. Substitute v = i + 20 to l, which gives l = i + 83.\n5. Substitute i = h + 18 to l, which gives l = h + 101.\n6. Substitute h = 18 to l, which gives l = 119.\n\nThus, the final answer is l = \\boxed{119}.",
"index": 23831,
"question": "Suppose a collection of variables is related by the following definitions: x = n + 11; a = s + 16; f = g + 3; l = a + 15; g = t + 4; z = x + 8; h = 18; n = f + 10; s = e + 13; e = v + 19; t = h + 6; v = i + 20; i = h + 18. Given that h = 18, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"u": "h + 3", "q": "u + 5", "o": "q + 12", "f": "o + 20", "e": "f + 15", "g": "e + 9", "i": "h + 2", "j": "i + 9", "r": "j + 6", "s": "r + 9", "m": "s + 2", "n": "m + 19", "h": 6}, "premises": {"h": 6}, "target": "g"}, "answer": {"steps": [["e", "f + 15", "f + 24"], ["f", "o + 20", "o + 44"], ["o", "q + 12", "q + 56"], ["q", "u + 5", "u + 61"], ["u", "h + 3", "h + 64"], ["h", 6, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"h": 6}, "is_reverse": true}}
| 23,832
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = f + 15; r = j + 6; m = s + 2; o = q + 12; f = o + 20; n = m + 19; g = e + 9; i = h + 2; s = r + 9; j = i + 9; q = u + 5; u = h + 3; h = 6. If h = 6, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 15 to g, which gives g = f + 24.\n2. Substitute f = o + 20 to g, which gives g = o + 44.\n3. Substitute o = q + 12 to g, which gives g = q + 56.\n4. Substitute q = u + 5 to g, which gives g = u + 61.\n5. Substitute u = h + 3 to g, which gives g = h + 64.\n6. Substitute h = 6 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 23832,
"question": "Consider a system of variables where each variable is defined as follows: e = f + 15; r = j + 6; m = s + 2; o = q + 12; f = o + 20; n = m + 19; g = e + 9; i = h + 2; s = r + 9; j = i + 9; q = u + 5; u = h + 3; h = 6. If h = 6, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"r": "n + 16", "q": "r + 16", "g": "q + 7", "v": "g + 5", "i": "v + 10", "j": "i + 4", "f": "n + 15", "x": "f + 12", "p": "x + 9", "e": "p + 18", "o": "e + 4", "m": "o + 19", "n": 2}, "premises": {"n": 2}, "target": "j"}, "answer": {"steps": [["i", "v + 10", "v + 14"], ["v", "g + 5", "g + 19"], ["g", "q + 7", "q + 26"], ["q", "r + 16", "r + 42"], ["r", "n + 16", "n + 58"], ["n", 2, "60"]], "target_var_name": "j", "target_value": 60, "value_dict": {"n": 2}, "is_reverse": true}}
| 23,833
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = r + 16; x = f + 12; p = x + 9; f = n + 15; v = g + 5; n = 2; o = e + 4; e = p + 18; i = v + 10; m = o + 19; r = n + 16; g = q + 7; j = i + 4. Given that n = 2, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 10 to j, which gives j = v + 14.\n2. Substitute v = g + 5 to j, which gives j = g + 19.\n3. Substitute g = q + 7 to j, which gives j = q + 26.\n4. Substitute q = r + 16 to j, which gives j = r + 42.\n5. Substitute r = n + 16 to j, which gives j = n + 58.\n6. Substitute n = 2 to j, which gives j = 60.\n\nThus, the final answer is j = \\boxed{60}.",
"index": 23833,
"question": "Suppose a collection of variables is related by the following definitions: q = r + 16; x = f + 12; p = x + 9; f = n + 15; v = g + 5; n = 2; o = e + 4; e = p + 18; i = v + 10; m = o + 19; r = n + 16; g = q + 7; j = i + 4. Given that n = 2, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"k": "q + 1", "c": "k + 13", "o": "c + 4", "j": "o + 2", "f": "j + 20", "h": "f + 19", "u": "q + 3", "g": "u + 18", "z": "g + 14", "n": "z + 2", "d": "n + 15", "b": "d + 4", "q": 5}, "premises": {"q": 5}, "target": "h"}, "answer": {"steps": [["f", "j + 20", "j + 39"], ["j", "o + 2", "o + 41"], ["o", "c + 4", "c + 45"], ["c", "k + 13", "k + 58"], ["k", "q + 1", "q + 59"], ["q", 5, "64"]], "target_var_name": "h", "target_value": 64, "value_dict": {"q": 5}, "is_reverse": true}}
| 23,834
| 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 = k + 13; u = q + 3; q = 5; k = q + 1; d = n + 15; j = o + 2; b = d + 4; z = g + 14; h = f + 19; o = c + 4; f = j + 20; n = z + 2; g = u + 18. If q = 5, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 20 to h, which gives h = j + 39.\n2. Substitute j = o + 2 to h, which gives h = o + 41.\n3. Substitute o = c + 4 to h, which gives h = c + 45.\n4. Substitute c = k + 13 to h, which gives h = k + 58.\n5. Substitute k = q + 1 to h, which gives h = q + 59.\n6. Substitute q = 5 to h, which gives h = 64.\n\nThus, the final answer is h = \\boxed{64}.",
"index": 23834,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 13; u = q + 3; q = 5; k = q + 1; d = n + 15; j = o + 2; b = d + 4; z = g + 14; h = f + 19; o = c + 4; f = j + 20; n = z + 2; g = u + 18. If q = 5, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"w": "n + 16", "c": "w + 16", "m": "c + 15", "b": "m + 12", "a": "b + 8", "e": "a + 4", "q": "n + 8", "r": "q + 14", "f": "r + 14", "k": "f + 3", "d": "k + 2", "u": "d + 9", "n": 1}, "premises": {"n": 1}, "target": "e"}, "answer": {"steps": [["a", "b + 8", "b + 12"], ["b", "m + 12", "m + 24"], ["m", "c + 15", "c + 39"], ["c", "w + 16", "w + 55"], ["w", "n + 16", "n + 71"], ["n", 1, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"n": 1}, "is_reverse": true}}
| 23,835
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = b + 8; n = 1; f = r + 14; k = f + 3; b = m + 12; q = n + 8; c = w + 16; r = q + 14; e = a + 4; u = d + 9; d = k + 2; m = c + 15; w = n + 16. If n = 1, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 8 to e, which gives e = b + 12.\n2. Substitute b = m + 12 to e, which gives e = m + 24.\n3. Substitute m = c + 15 to e, which gives e = c + 39.\n4. Substitute c = w + 16 to e, which gives e = w + 55.\n5. Substitute w = n + 16 to e, which gives e = n + 71.\n6. Substitute n = 1 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 23835,
"question": "Consider a system of variables where each variable is defined as follows: a = b + 8; n = 1; f = r + 14; k = f + 3; b = m + 12; q = n + 8; c = w + 16; r = q + 14; e = a + 4; u = d + 9; d = k + 2; m = c + 15; w = n + 16. If n = 1, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"s": "j + 18", "b": "s + 14", "m": "b + 7", "q": "m + 20", "h": "q + 1", "l": "h + 14", "t": "j + 17", "k": "t + 20", "d": "k + 19", "r": "d + 12", "x": "r + 2", "g": "x + 19", "j": 16}, "premises": {"j": 16}, "target": "l"}, "answer": {"steps": [["h", "q + 1", "q + 15"], ["q", "m + 20", "m + 35"], ["m", "b + 7", "b + 42"], ["b", "s + 14", "s + 56"], ["s", "j + 18", "j + 74"], ["j", 16, "90"]], "target_var_name": "l", "target_value": 90, "value_dict": {"j": 16}, "is_reverse": true}}
| 23,836
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = 16; l = h + 14; s = j + 18; h = q + 1; b = s + 14; t = j + 17; r = d + 12; m = b + 7; q = m + 20; x = r + 2; g = x + 19; d = k + 19; k = t + 20. Given that j = 16, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 1 to l, which gives l = q + 15.\n2. Substitute q = m + 20 to l, which gives l = m + 35.\n3. Substitute m = b + 7 to l, which gives l = b + 42.\n4. Substitute b = s + 14 to l, which gives l = s + 56.\n5. Substitute s = j + 18 to l, which gives l = j + 74.\n6. Substitute j = 16 to l, which gives l = 90.\n\nThus, the final answer is l = \\boxed{90}.",
"index": 23836,
"question": "Suppose a collection of variables is related by the following definitions: j = 16; l = h + 14; s = j + 18; h = q + 1; b = s + 14; t = j + 17; r = d + 12; m = b + 7; q = m + 20; x = r + 2; g = x + 19; d = k + 19; k = t + 20. Given that j = 16, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"x": "y + 18", "a": "x + 10", "q": "a + 2", "t": "q + 8", "u": "t + 4", "f": "u + 10", "g": "y + 1", "d": "g + 3", "b": "d + 4", "r": "b + 16", "p": "r + 16", "k": "p + 4", "y": 8}, "premises": {"y": 8}, "target": "f"}, "answer": {"steps": [["u", "t + 4", "t + 14"], ["t", "q + 8", "q + 22"], ["q", "a + 2", "a + 24"], ["a", "x + 10", "x + 34"], ["x", "y + 18", "y + 52"], ["y", 8, "60"]], "target_var_name": "f", "target_value": 60, "value_dict": {"y": 8}, "is_reverse": true}}
| 23,837
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = d + 4; f = u + 10; r = b + 16; k = p + 4; u = t + 4; a = x + 10; t = q + 8; d = g + 3; x = y + 18; g = y + 1; q = a + 2; y = 8; p = r + 16. If y = 8, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 4 to f, which gives f = t + 14.\n2. Substitute t = q + 8 to f, which gives f = q + 22.\n3. Substitute q = a + 2 to f, which gives f = a + 24.\n4. Substitute a = x + 10 to f, which gives f = x + 34.\n5. Substitute x = y + 18 to f, which gives f = y + 52.\n6. Substitute y = 8 to f, which gives f = 60.\n\nThus, the final answer is f = \\boxed{60}.",
"index": 23837,
"question": "Consider a system of variables where each variable is defined as follows: b = d + 4; f = u + 10; r = b + 16; k = p + 4; u = t + 4; a = x + 10; t = q + 8; d = g + 3; x = y + 18; g = y + 1; q = a + 2; y = 8; p = r + 16. If y = 8, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 6", "e": "w + 12", "o": "e + 2", "t": "o + 9", "b": "t + 12", "p": "b + 9", "s": "m + 17", "v": "s + 9", "x": "v + 12", "z": "x + 14", "k": "z + 20", "u": "k + 7", "m": 1}, "premises": {"m": 1}, "target": "p"}, "answer": {"steps": [["b", "t + 12", "t + 21"], ["t", "o + 9", "o + 30"], ["o", "e + 2", "e + 32"], ["e", "w + 12", "w + 44"], ["w", "m + 6", "m + 50"], ["m", 1, "51"]], "target_var_name": "p", "target_value": 51, "value_dict": {"m": 1}, "is_reverse": true}}
| 23,838
| 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 = s + 9; s = m + 17; b = t + 12; t = o + 9; x = v + 12; z = x + 14; k = z + 20; o = e + 2; u = k + 7; m = 1; p = b + 9; w = m + 6; e = w + 12. If m = 1, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 12 to p, which gives p = t + 21.\n2. Substitute t = o + 9 to p, which gives p = o + 30.\n3. Substitute o = e + 2 to p, which gives p = e + 32.\n4. Substitute e = w + 12 to p, which gives p = w + 44.\n5. Substitute w = m + 6 to p, which gives p = m + 50.\n6. Substitute m = 1 to p, which gives p = 51.\n\nThus, the final answer is p = \\boxed{51}.",
"index": 23838,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = s + 9; s = m + 17; b = t + 12; t = o + 9; x = v + 12; z = x + 14; k = z + 20; o = e + 2; u = k + 7; m = 1; p = b + 9; w = m + 6; e = w + 12. If m = 1, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"p": "o + 9", "g": "p + 14", "w": "g + 18", "i": "w + 20", "y": "i + 9", "n": "y + 15", "m": "o + 11", "t": "m + 5", "s": "t + 2", "v": "s + 15", "q": "v + 7", "h": "q + 11", "o": 20}, "premises": {"o": 20}, "target": "n"}, "answer": {"steps": [["y", "i + 9", "i + 24"], ["i", "w + 20", "w + 44"], ["w", "g + 18", "g + 62"], ["g", "p + 14", "p + 76"], ["p", "o + 9", "o + 85"], ["o", 20, "105"]], "target_var_name": "n", "target_value": 105, "value_dict": {"o": 20}, "is_reverse": true}}
| 23,839
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = o + 9; y = i + 9; v = s + 15; m = o + 11; i = w + 20; o = 20; t = m + 5; n = y + 15; g = p + 14; w = g + 18; q = v + 7; s = t + 2; h = q + 11. If o = 20, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 9 to n, which gives n = i + 24.\n2. Substitute i = w + 20 to n, which gives n = w + 44.\n3. Substitute w = g + 18 to n, which gives n = g + 62.\n4. Substitute g = p + 14 to n, which gives n = p + 76.\n5. Substitute p = o + 9 to n, which gives n = o + 85.\n6. Substitute o = 20 to n, which gives n = 105.\n\nThus, the final answer is n = \\boxed{105}.",
"index": 23839,
"question": "Consider a system of variables where each variable is defined as follows: p = o + 9; y = i + 9; v = s + 15; m = o + 11; i = w + 20; o = 20; t = m + 5; n = y + 15; g = p + 14; w = g + 18; q = v + 7; s = t + 2; h = q + 11. If o = 20, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"q": "m + 9", "h": "q + 6", "k": "h + 2", "i": "k + 13", "u": "i + 5", "o": "u + 12", "d": "m + 3", "y": "d + 8", "b": "y + 2", "g": "b + 2", "e": "g + 14", "z": "e + 2", "m": 11}, "premises": {"m": 11}, "target": "o"}, "answer": {"steps": [["u", "i + 5", "i + 17"], ["i", "k + 13", "k + 30"], ["k", "h + 2", "h + 32"], ["h", "q + 6", "q + 38"], ["q", "m + 9", "m + 47"], ["m", 11, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"m": 11}, "is_reverse": true}}
| 23,840
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = h + 2; e = g + 14; o = u + 12; g = b + 2; u = i + 5; z = e + 2; y = d + 8; d = m + 3; h = q + 6; b = y + 2; q = m + 9; m = 11; i = k + 13. If m = 11, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 5 to o, which gives o = i + 17.\n2. Substitute i = k + 13 to o, which gives o = k + 30.\n3. Substitute k = h + 2 to o, which gives o = h + 32.\n4. Substitute h = q + 6 to o, which gives o = q + 38.\n5. Substitute q = m + 9 to o, which gives o = m + 47.\n6. Substitute m = 11 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 23840,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = h + 2; e = g + 14; o = u + 12; g = b + 2; u = i + 5; z = e + 2; y = d + 8; d = m + 3; h = q + 6; b = y + 2; q = m + 9; m = 11; i = k + 13. If m = 11, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"x": "r + 3", "j": "x + 15", "m": "j + 15", "p": "m + 13", "t": "p + 13", "b": "t + 17", "u": "r + 7", "y": "u + 16", "z": "y + 3", "f": "z + 20", "k": "f + 7", "v": "k + 7", "r": 6}, "premises": {"r": 6}, "target": "b"}, "answer": {"steps": [["t", "p + 13", "p + 30"], ["p", "m + 13", "m + 43"], ["m", "j + 15", "j + 58"], ["j", "x + 15", "x + 73"], ["x", "r + 3", "r + 76"], ["r", 6, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"r": 6}, "is_reverse": true}}
| 23,841
| 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 = 6; m = j + 15; u = r + 7; y = u + 16; t = p + 13; j = x + 15; p = m + 13; z = y + 3; k = f + 7; f = z + 20; b = t + 17; x = r + 3; v = k + 7. If r = 6, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 13 to b, which gives b = p + 30.\n2. Substitute p = m + 13 to b, which gives b = m + 43.\n3. Substitute m = j + 15 to b, which gives b = j + 58.\n4. Substitute j = x + 15 to b, which gives b = x + 73.\n5. Substitute x = r + 3 to b, which gives b = r + 76.\n6. Substitute r = 6 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 23841,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 6; m = j + 15; u = r + 7; y = u + 16; t = p + 13; j = x + 15; p = m + 13; z = y + 3; k = f + 7; f = z + 20; b = t + 17; x = r + 3; v = k + 7. If r = 6, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"a": "w + 1", "m": "a + 18", "u": "m + 15", "i": "u + 8", "t": "i + 1", "z": "t + 4", "y": "w + 3", "d": "y + 13", "x": "d + 7", "c": "x + 5", "n": "c + 20", "j": "n + 13", "w": 4}, "premises": {"w": 4}, "target": "z"}, "answer": {"steps": [["t", "i + 1", "i + 5"], ["i", "u + 8", "u + 13"], ["u", "m + 15", "m + 28"], ["m", "a + 18", "a + 46"], ["a", "w + 1", "w + 47"], ["w", 4, "51"]], "target_var_name": "z", "target_value": 51, "value_dict": {"w": 4}, "is_reverse": true}}
| 23,842
| 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 = c + 20; y = w + 3; c = x + 5; t = i + 1; w = 4; z = t + 4; a = w + 1; x = d + 7; d = y + 13; j = n + 13; i = u + 8; m = a + 18; u = m + 15. If w = 4, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 1 to z, which gives z = i + 5.\n2. Substitute i = u + 8 to z, which gives z = u + 13.\n3. Substitute u = m + 15 to z, which gives z = m + 28.\n4. Substitute m = a + 18 to z, which gives z = a + 46.\n5. Substitute a = w + 1 to z, which gives z = w + 47.\n6. Substitute w = 4 to z, which gives z = 51.\n\nThus, the final answer is z = \\boxed{51}.",
"index": 23842,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = c + 20; y = w + 3; c = x + 5; t = i + 1; w = 4; z = t + 4; a = w + 1; x = d + 7; d = y + 13; j = n + 13; i = u + 8; m = a + 18; u = m + 15. If w = 4, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"c": "q + 11", "s": "c + 7", "r": "s + 3", "o": "r + 9", "t": "o + 14", "v": "t + 13", "e": "q + 9", "n": "e + 5", "b": "n + 4", "d": "b + 15", "a": "d + 15", "m": "a + 15", "q": 12}, "premises": {"q": 12}, "target": "v"}, "answer": {"steps": [["t", "o + 14", "o + 27"], ["o", "r + 9", "r + 36"], ["r", "s + 3", "s + 39"], ["s", "c + 7", "c + 46"], ["c", "q + 11", "q + 57"], ["q", 12, "69"]], "target_var_name": "v", "target_value": 69, "value_dict": {"q": 12}, "is_reverse": true}}
| 23,843
| 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 = a + 15; o = r + 9; t = o + 14; s = c + 7; r = s + 3; v = t + 13; c = q + 11; e = q + 9; q = 12; a = d + 15; b = n + 4; d = b + 15; n = e + 5. If q = 12, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 14 to v, which gives v = o + 27.\n2. Substitute o = r + 9 to v, which gives v = r + 36.\n3. Substitute r = s + 3 to v, which gives v = s + 39.\n4. Substitute s = c + 7 to v, which gives v = c + 46.\n5. Substitute c = q + 11 to v, which gives v = q + 57.\n6. Substitute q = 12 to v, which gives v = 69.\n\nThus, the final answer is v = \\boxed{69}.",
"index": 23843,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = a + 15; o = r + 9; t = o + 14; s = c + 7; r = s + 3; v = t + 13; c = q + 11; e = q + 9; q = 12; a = d + 15; b = n + 4; d = b + 15; n = e + 5. If q = 12, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"m": "o + 14", "t": "m + 12", "v": "t + 20", "y": "v + 8", "p": "y + 16", "d": "p + 9", "z": "o + 10", "r": "z + 9", "h": "r + 9", "l": "h + 15", "e": "l + 6", "f": "e + 15", "o": 7}, "premises": {"o": 7}, "target": "d"}, "answer": {"steps": [["p", "y + 16", "y + 25"], ["y", "v + 8", "v + 33"], ["v", "t + 20", "t + 53"], ["t", "m + 12", "m + 65"], ["m", "o + 14", "o + 79"], ["o", 7, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"o": 7}, "is_reverse": true}}
| 23,844
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = r + 9; e = l + 6; d = p + 9; y = v + 8; f = e + 15; m = o + 14; v = t + 20; p = y + 16; t = m + 12; z = o + 10; r = z + 9; l = h + 15; o = 7. Given that o = 7, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 16 to d, which gives d = y + 25.\n2. Substitute y = v + 8 to d, which gives d = v + 33.\n3. Substitute v = t + 20 to d, which gives d = t + 53.\n4. Substitute t = m + 12 to d, which gives d = m + 65.\n5. Substitute m = o + 14 to d, which gives d = o + 79.\n6. Substitute o = 7 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 23844,
"question": "Suppose a collection of variables is related by the following definitions: h = r + 9; e = l + 6; d = p + 9; y = v + 8; f = e + 15; m = o + 14; v = t + 20; p = y + 16; t = m + 12; z = o + 10; r = z + 9; l = h + 15; o = 7. Given that o = 7, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"v": "c + 8", "a": "v + 9", "d": "a + 8", "t": "d + 5", "s": "t + 11", "z": "s + 14", "g": "c + 13", "x": "g + 1", "p": "x + 15", "o": "p + 14", "l": "o + 10", "n": "l + 14", "c": 20}, "premises": {"c": 20}, "target": "z"}, "answer": {"steps": [["s", "t + 11", "t + 25"], ["t", "d + 5", "d + 30"], ["d", "a + 8", "a + 38"], ["a", "v + 9", "v + 47"], ["v", "c + 8", "c + 55"], ["c", 20, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"c": 20}, "is_reverse": true}}
| 23,845
| 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 = 20; p = x + 15; t = d + 5; g = c + 13; s = t + 11; x = g + 1; a = v + 9; d = a + 8; o = p + 14; v = c + 8; z = s + 14; n = l + 14; l = o + 10. If c = 20, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 11 to z, which gives z = t + 25.\n2. Substitute t = d + 5 to z, which gives z = d + 30.\n3. Substitute d = a + 8 to z, which gives z = a + 38.\n4. Substitute a = v + 9 to z, which gives z = v + 47.\n5. Substitute v = c + 8 to z, which gives z = c + 55.\n6. Substitute c = 20 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 23845,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = 20; p = x + 15; t = d + 5; g = c + 13; s = t + 11; x = g + 1; a = v + 9; d = a + 8; o = p + 14; v = c + 8; z = s + 14; n = l + 14; l = o + 10. If c = 20, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"w": "j + 19", "m": "w + 15", "s": "m + 16", "z": "s + 5", "g": "z + 9", "q": "g + 5", "h": "j + 13", "n": "h + 9", "d": "n + 2", "v": "d + 10", "p": "v + 16", "r": "p + 2", "j": 2}, "premises": {"j": 2}, "target": "q"}, "answer": {"steps": [["g", "z + 9", "z + 14"], ["z", "s + 5", "s + 19"], ["s", "m + 16", "m + 35"], ["m", "w + 15", "w + 50"], ["w", "j + 19", "j + 69"], ["j", 2, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"j": 2}, "is_reverse": true}}
| 23,846
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = n + 2; s = m + 16; g = z + 9; m = w + 15; r = p + 2; p = v + 16; h = j + 13; v = d + 10; w = j + 19; n = h + 9; j = 2; q = g + 5; z = s + 5. Given that j = 2, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 9 to q, which gives q = z + 14.\n2. Substitute z = s + 5 to q, which gives q = s + 19.\n3. Substitute s = m + 16 to q, which gives q = m + 35.\n4. Substitute m = w + 15 to q, which gives q = w + 50.\n5. Substitute w = j + 19 to q, which gives q = j + 69.\n6. Substitute j = 2 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 23846,
"question": "Suppose a collection of variables is related by the following definitions: d = n + 2; s = m + 16; g = z + 9; m = w + 15; r = p + 2; p = v + 16; h = j + 13; v = d + 10; w = j + 19; n = h + 9; j = 2; q = g + 5; z = s + 5. Given that j = 2, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 15", "i": "b + 14", "j": "i + 15", "u": "j + 1", "h": "u + 16", "y": "h + 19", "t": "x + 18", "c": "t + 13", "d": "c + 14", "l": "d + 19", "w": "l + 3", "o": "w + 17", "x": 1}, "premises": {"x": 1}, "target": "y"}, "answer": {"steps": [["h", "u + 16", "u + 35"], ["u", "j + 1", "j + 36"], ["j", "i + 15", "i + 51"], ["i", "b + 14", "b + 65"], ["b", "x + 15", "x + 80"], ["x", 1, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"x": 1}, "is_reverse": true}}
| 23,847
| 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 = h + 19; x = 1; j = i + 15; o = w + 17; w = l + 3; b = x + 15; u = j + 1; d = c + 14; t = x + 18; i = b + 14; h = u + 16; c = t + 13; l = d + 19. If x = 1, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 16 to y, which gives y = u + 35.\n2. Substitute u = j + 1 to y, which gives y = j + 36.\n3. Substitute j = i + 15 to y, which gives y = i + 51.\n4. Substitute i = b + 14 to y, which gives y = b + 65.\n5. Substitute b = x + 15 to y, which gives y = x + 80.\n6. Substitute x = 1 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 23847,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = h + 19; x = 1; j = i + 15; o = w + 17; w = l + 3; b = x + 15; u = j + 1; d = c + 14; t = x + 18; i = b + 14; h = u + 16; c = t + 13; l = d + 19. If x = 1, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 13", "h": "d + 3", "e": "h + 7", "z": "e + 3", "r": "z + 13", "i": "r + 1", "f": "c + 2", "m": "f + 17", "u": "m + 4", "j": "u + 15", "x": "j + 16", "y": "x + 13", "c": 18}, "premises": {"c": 18}, "target": "i"}, "answer": {"steps": [["r", "z + 13", "z + 14"], ["z", "e + 3", "e + 17"], ["e", "h + 7", "h + 24"], ["h", "d + 3", "d + 27"], ["d", "c + 13", "c + 40"], ["c", 18, "58"]], "target_var_name": "i", "target_value": 58, "value_dict": {"c": 18}, "is_reverse": true}}
| 23,848
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = c + 2; u = m + 4; m = f + 17; c = 18; z = e + 3; i = r + 1; r = z + 13; d = c + 13; e = h + 7; j = u + 15; x = j + 16; y = x + 13; h = d + 3. If c = 18, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 13 to i, which gives i = z + 14.\n2. Substitute z = e + 3 to i, which gives i = e + 17.\n3. Substitute e = h + 7 to i, which gives i = h + 24.\n4. Substitute h = d + 3 to i, which gives i = d + 27.\n5. Substitute d = c + 13 to i, which gives i = c + 40.\n6. Substitute c = 18 to i, which gives i = 58.\n\nThus, the final answer is i = \\boxed{58}.",
"index": 23848,
"question": "Consider a system of variables where each variable is defined as follows: f = c + 2; u = m + 4; m = f + 17; c = 18; z = e + 3; i = r + 1; r = z + 13; d = c + 13; e = h + 7; j = u + 15; x = j + 16; y = x + 13; h = d + 3. If c = 18, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"b": "l + 19", "n": "b + 9", "d": "n + 12", "j": "d + 3", "q": "j + 5", "m": "q + 8", "k": "l + 9", "e": "k + 15", "p": "e + 1", "f": "p + 4", "x": "f + 13", "v": "x + 9", "l": 20}, "premises": {"l": 20}, "target": "m"}, "answer": {"steps": [["q", "j + 5", "j + 13"], ["j", "d + 3", "d + 16"], ["d", "n + 12", "n + 28"], ["n", "b + 9", "b + 37"], ["b", "l + 19", "l + 56"], ["l", 20, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"l": 20}, "is_reverse": true}}
| 23,849
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = n + 12; q = j + 5; n = b + 9; l = 20; p = e + 1; e = k + 15; b = l + 19; j = d + 3; v = x + 9; x = f + 13; f = p + 4; m = q + 8; k = l + 9. If l = 20, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 5 to m, which gives m = j + 13.\n2. Substitute j = d + 3 to m, which gives m = d + 16.\n3. Substitute d = n + 12 to m, which gives m = n + 28.\n4. Substitute n = b + 9 to m, which gives m = b + 37.\n5. Substitute b = l + 19 to m, which gives m = l + 56.\n6. Substitute l = 20 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 23849,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = n + 12; q = j + 5; n = b + 9; l = 20; p = e + 1; e = k + 15; b = l + 19; j = d + 3; v = x + 9; x = f + 13; f = p + 4; m = q + 8; k = l + 9. If l = 20, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"b": "e + 19", "u": "b + 12", "n": "u + 10", "m": "n + 10", "j": "m + 10", "d": "j + 20", "y": "e + 18", "k": "y + 19", "r": "k + 2", "l": "r + 14", "h": "l + 13", "t": "h + 16", "e": 3}, "premises": {"e": 3}, "target": "d"}, "answer": {"steps": [["j", "m + 10", "m + 30"], ["m", "n + 10", "n + 40"], ["n", "u + 10", "u + 50"], ["u", "b + 12", "b + 62"], ["b", "e + 19", "e + 81"], ["e", 3, "84"]], "target_var_name": "d", "target_value": 84, "value_dict": {"e": 3}, "is_reverse": true}}
| 23,850
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = h + 16; k = y + 19; h = l + 13; l = r + 14; y = e + 18; d = j + 20; e = 3; m = n + 10; j = m + 10; n = u + 10; b = e + 19; u = b + 12; r = k + 2. If e = 3, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 10 to d, which gives d = m + 30.\n2. Substitute m = n + 10 to d, which gives d = n + 40.\n3. Substitute n = u + 10 to d, which gives d = u + 50.\n4. Substitute u = b + 12 to d, which gives d = b + 62.\n5. Substitute b = e + 19 to d, which gives d = e + 81.\n6. Substitute e = 3 to d, which gives d = 84.\n\nThus, the final answer is d = \\boxed{84}.",
"index": 23850,
"question": "Consider a system of variables where each variable is defined as follows: t = h + 16; k = y + 19; h = l + 13; l = r + 14; y = e + 18; d = j + 20; e = 3; m = n + 10; j = m + 10; n = u + 10; b = e + 19; u = b + 12; r = k + 2. If e = 3, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"b": "i + 10", "f": "b + 12", "s": "f + 13", "y": "s + 10", "g": "y + 1", "v": "g + 4", "e": "i + 13", "p": "e + 2", "a": "p + 13", "u": "a + 14", "l": "u + 7", "k": "l + 16", "i": 3}, "premises": {"i": 3}, "target": "v"}, "answer": {"steps": [["g", "y + 1", "y + 5"], ["y", "s + 10", "s + 15"], ["s", "f + 13", "f + 28"], ["f", "b + 12", "b + 40"], ["b", "i + 10", "i + 50"], ["i", 3, "53"]], "target_var_name": "v", "target_value": 53, "value_dict": {"i": 3}, "is_reverse": true}}
| 23,851
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = y + 1; e = i + 13; s = f + 13; f = b + 12; b = i + 10; i = 3; v = g + 4; p = e + 2; a = p + 13; y = s + 10; k = l + 16; l = u + 7; u = a + 14. Given that i = 3, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 1 to v, which gives v = y + 5.\n2. Substitute y = s + 10 to v, which gives v = s + 15.\n3. Substitute s = f + 13 to v, which gives v = f + 28.\n4. Substitute f = b + 12 to v, which gives v = b + 40.\n5. Substitute b = i + 10 to v, which gives v = i + 50.\n6. Substitute i = 3 to v, which gives v = 53.\n\nThus, the final answer is v = \\boxed{53}.",
"index": 23851,
"question": "Suppose a collection of variables is related by the following definitions: g = y + 1; e = i + 13; s = f + 13; f = b + 12; b = i + 10; i = 3; v = g + 4; p = e + 2; a = p + 13; y = s + 10; k = l + 16; l = u + 7; u = a + 14. Given that i = 3, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"l": "s + 18", "v": "l + 7", "e": "v + 13", "w": "e + 11", "i": "w + 17", "h": "i + 14", "j": "s + 3", "f": "j + 19", "c": "f + 17", "k": "c + 16", "u": "k + 12", "x": "u + 15", "s": 4}, "premises": {"s": 4}, "target": "h"}, "answer": {"steps": [["i", "w + 17", "w + 31"], ["w", "e + 11", "e + 42"], ["e", "v + 13", "v + 55"], ["v", "l + 7", "l + 62"], ["l", "s + 18", "s + 80"], ["s", 4, "84"]], "target_var_name": "h", "target_value": 84, "value_dict": {"s": 4}, "is_reverse": true}}
| 23,852
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = j + 19; l = s + 18; s = 4; u = k + 12; i = w + 17; w = e + 11; k = c + 16; j = s + 3; e = v + 13; x = u + 15; v = l + 7; h = i + 14; c = f + 17. If s = 4, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 17 to h, which gives h = w + 31.\n2. Substitute w = e + 11 to h, which gives h = e + 42.\n3. Substitute e = v + 13 to h, which gives h = v + 55.\n4. Substitute v = l + 7 to h, which gives h = l + 62.\n5. Substitute l = s + 18 to h, which gives h = s + 80.\n6. Substitute s = 4 to h, which gives h = 84.\n\nThus, the final answer is h = \\boxed{84}.",
"index": 23852,
"question": "Consider a system of variables where each variable is defined as follows: f = j + 19; l = s + 18; s = 4; u = k + 12; i = w + 17; w = e + 11; k = c + 16; j = s + 3; e = v + 13; x = u + 15; v = l + 7; h = i + 14; c = f + 17. If s = 4, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"z": "i + 7", "c": "z + 17", "a": "c + 19", "s": "a + 16", "h": "s + 10", "g": "h + 17", "q": "i + 5", "k": "q + 1", "r": "k + 3", "y": "r + 3", "e": "y + 1", "d": "e + 9", "i": 1}, "premises": {"i": 1}, "target": "g"}, "answer": {"steps": [["h", "s + 10", "s + 27"], ["s", "a + 16", "a + 43"], ["a", "c + 19", "c + 62"], ["c", "z + 17", "z + 79"], ["z", "i + 7", "i + 86"], ["i", 1, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"i": 1}, "is_reverse": true}}
| 23,853
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = q + 1; s = a + 16; z = i + 7; d = e + 9; i = 1; e = y + 1; r = k + 3; h = s + 10; y = r + 3; a = c + 19; c = z + 17; g = h + 17; q = i + 5. Given that i = 1, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 10 to g, which gives g = s + 27.\n2. Substitute s = a + 16 to g, which gives g = a + 43.\n3. Substitute a = c + 19 to g, which gives g = c + 62.\n4. Substitute c = z + 17 to g, which gives g = z + 79.\n5. Substitute z = i + 7 to g, which gives g = i + 86.\n6. Substitute i = 1 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 23853,
"question": "Suppose a collection of variables is related by the following definitions: k = q + 1; s = a + 16; z = i + 7; d = e + 9; i = 1; e = y + 1; r = k + 3; h = s + 10; y = r + 3; a = c + 19; c = z + 17; g = h + 17; q = i + 5. Given that i = 1, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"t": "j + 2", "g": "t + 8", "h": "g + 4", "e": "h + 12", "u": "e + 14", "r": "u + 4", "v": "j + 18", "d": "v + 16", "i": "d + 18", "y": "i + 2", "o": "y + 8", "f": "o + 8", "j": 9}, "premises": {"j": 9}, "target": "r"}, "answer": {"steps": [["u", "e + 14", "e + 18"], ["e", "h + 12", "h + 30"], ["h", "g + 4", "g + 34"], ["g", "t + 8", "t + 42"], ["t", "j + 2", "j + 44"], ["j", 9, "53"]], "target_var_name": "r", "target_value": 53, "value_dict": {"j": 9}, "is_reverse": true}}
| 23,854
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = v + 16; j = 9; f = o + 8; o = y + 8; i = d + 18; v = j + 18; g = t + 8; u = e + 14; r = u + 4; t = j + 2; e = h + 12; h = g + 4; y = i + 2. If j = 9, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 14 to r, which gives r = e + 18.\n2. Substitute e = h + 12 to r, which gives r = h + 30.\n3. Substitute h = g + 4 to r, which gives r = g + 34.\n4. Substitute g = t + 8 to r, which gives r = t + 42.\n5. Substitute t = j + 2 to r, which gives r = j + 44.\n6. Substitute j = 9 to r, which gives r = 53.\n\nThus, the final answer is r = \\boxed{53}.",
"index": 23854,
"question": "Consider a system of variables where each variable is defined as follows: d = v + 16; j = 9; f = o + 8; o = y + 8; i = d + 18; v = j + 18; g = t + 8; u = e + 14; r = u + 4; t = j + 2; e = h + 12; h = g + 4; y = i + 2. If j = 9, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 4", "q": "e + 9", "z": "q + 18", "v": "z + 20", "n": "v + 10", "l": "n + 13", "h": "d + 14", "s": "h + 10", "r": "s + 9", "i": "r + 2", "p": "i + 8", "u": "p + 19", "d": 8}, "premises": {"d": 8}, "target": "l"}, "answer": {"steps": [["n", "v + 10", "v + 23"], ["v", "z + 20", "z + 43"], ["z", "q + 18", "q + 61"], ["q", "e + 9", "e + 70"], ["e", "d + 4", "d + 74"], ["d", 8, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"d": 8}, "is_reverse": true}}
| 23,855
| 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 = z + 20; z = q + 18; i = r + 2; l = n + 13; q = e + 9; e = d + 4; u = p + 19; n = v + 10; d = 8; s = h + 10; p = i + 8; h = d + 14; r = s + 9. If d = 8, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 10 to l, which gives l = v + 23.\n2. Substitute v = z + 20 to l, which gives l = z + 43.\n3. Substitute z = q + 18 to l, which gives l = q + 61.\n4. Substitute q = e + 9 to l, which gives l = e + 70.\n5. Substitute e = d + 4 to l, which gives l = d + 74.\n6. Substitute d = 8 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 23855,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = z + 20; z = q + 18; i = r + 2; l = n + 13; q = e + 9; e = d + 4; u = p + 19; n = v + 10; d = 8; s = h + 10; p = i + 8; h = d + 14; r = s + 9. If d = 8, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"s": "k + 18", "a": "s + 12", "x": "a + 20", "c": "x + 13", "q": "c + 4", "y": "q + 7", "g": "k + 5", "m": "g + 18", "o": "m + 9", "l": "o + 12", "z": "l + 10", "h": "z + 7", "k": 11}, "premises": {"k": 11}, "target": "y"}, "answer": {"steps": [["q", "c + 4", "c + 11"], ["c", "x + 13", "x + 24"], ["x", "a + 20", "a + 44"], ["a", "s + 12", "s + 56"], ["s", "k + 18", "k + 74"], ["k", 11, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"k": 11}, "is_reverse": true}}
| 23,856
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = o + 12; y = q + 7; x = a + 20; c = x + 13; q = c + 4; s = k + 18; g = k + 5; a = s + 12; k = 11; o = m + 9; m = g + 18; z = l + 10; h = z + 7. Given that k = 11, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 4 to y, which gives y = c + 11.\n2. Substitute c = x + 13 to y, which gives y = x + 24.\n3. Substitute x = a + 20 to y, which gives y = a + 44.\n4. Substitute a = s + 12 to y, which gives y = s + 56.\n5. Substitute s = k + 18 to y, which gives y = k + 74.\n6. Substitute k = 11 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 23856,
"question": "Suppose a collection of variables is related by the following definitions: l = o + 12; y = q + 7; x = a + 20; c = x + 13; q = c + 4; s = k + 18; g = k + 5; a = s + 12; k = 11; o = m + 9; m = g + 18; z = l + 10; h = z + 7. Given that k = 11, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"t": "r + 10", "h": "t + 1", "c": "h + 9", "d": "c + 12", "i": "d + 6", "o": "i + 2", "n": "r + 17", "k": "n + 4", "j": "k + 5", "w": "j + 11", "p": "w + 18", "v": "p + 3", "r": 12}, "premises": {"r": 12}, "target": "o"}, "answer": {"steps": [["i", "d + 6", "d + 8"], ["d", "c + 12", "c + 20"], ["c", "h + 9", "h + 29"], ["h", "t + 1", "t + 30"], ["t", "r + 10", "r + 40"], ["r", 12, "52"]], "target_var_name": "o", "target_value": 52, "value_dict": {"r": 12}, "is_reverse": true}}
| 23,857
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = r + 10; k = n + 4; w = j + 11; o = i + 2; h = t + 1; v = p + 3; i = d + 6; r = 12; j = k + 5; p = w + 18; c = h + 9; d = c + 12; n = r + 17. Given that r = 12, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 6 to o, which gives o = d + 8.\n2. Substitute d = c + 12 to o, which gives o = c + 20.\n3. Substitute c = h + 9 to o, which gives o = h + 29.\n4. Substitute h = t + 1 to o, which gives o = t + 30.\n5. Substitute t = r + 10 to o, which gives o = r + 40.\n6. Substitute r = 12 to o, which gives o = 52.\n\nThus, the final answer is o = \\boxed{52}.",
"index": 23857,
"question": "Suppose a collection of variables is related by the following definitions: t = r + 10; k = n + 4; w = j + 11; o = i + 2; h = t + 1; v = p + 3; i = d + 6; r = 12; j = k + 5; p = w + 18; c = h + 9; d = c + 12; n = r + 17. Given that r = 12, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"k": "l + 15", "f": "k + 2", "t": "f + 12", "r": "t + 14", "i": "r + 5", "s": "i + 13", "w": "l + 5", "m": "w + 3", "x": "m + 20", "z": "x + 3", "b": "z + 18", "v": "b + 11", "l": 19}, "premises": {"l": 19}, "target": "s"}, "answer": {"steps": [["i", "r + 5", "r + 18"], ["r", "t + 14", "t + 32"], ["t", "f + 12", "f + 44"], ["f", "k + 2", "k + 46"], ["k", "l + 15", "l + 61"], ["l", 19, "80"]], "target_var_name": "s", "target_value": 80, "value_dict": {"l": 19}, "is_reverse": true}}
| 23,858
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = f + 12; i = r + 5; x = m + 20; w = l + 5; l = 19; m = w + 3; s = i + 13; r = t + 14; f = k + 2; k = l + 15; b = z + 18; v = b + 11; z = x + 3. If l = 19, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 5 to s, which gives s = r + 18.\n2. Substitute r = t + 14 to s, which gives s = t + 32.\n3. Substitute t = f + 12 to s, which gives s = f + 44.\n4. Substitute f = k + 2 to s, which gives s = k + 46.\n5. Substitute k = l + 15 to s, which gives s = l + 61.\n6. Substitute l = 19 to s, which gives s = 80.\n\nThus, the final answer is s = \\boxed{80}.",
"index": 23858,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = f + 12; i = r + 5; x = m + 20; w = l + 5; l = 19; m = w + 3; s = i + 13; r = t + 14; f = k + 2; k = l + 15; b = z + 18; v = b + 11; z = x + 3. If l = 19, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 1", "s": "q + 6", "z": "s + 12", "r": "z + 3", "a": "r + 19", "u": "a + 3", "h": "i + 10", "v": "h + 20", "n": "v + 18", "j": "n + 8", "c": "j + 1", "k": "c + 10", "i": 16}, "premises": {"i": 16}, "target": "u"}, "answer": {"steps": [["a", "r + 19", "r + 22"], ["r", "z + 3", "z + 25"], ["z", "s + 12", "s + 37"], ["s", "q + 6", "q + 43"], ["q", "i + 1", "i + 44"], ["i", 16, "60"]], "target_var_name": "u", "target_value": 60, "value_dict": {"i": 16}, "is_reverse": true}}
| 23,859
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = a + 3; a = r + 19; c = j + 1; s = q + 6; j = n + 8; k = c + 10; i = 16; q = i + 1; h = i + 10; n = v + 18; z = s + 12; v = h + 20; r = z + 3. Given that i = 16, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 19 to u, which gives u = r + 22.\n2. Substitute r = z + 3 to u, which gives u = z + 25.\n3. Substitute z = s + 12 to u, which gives u = s + 37.\n4. Substitute s = q + 6 to u, which gives u = q + 43.\n5. Substitute q = i + 1 to u, which gives u = i + 44.\n6. Substitute i = 16 to u, which gives u = 60.\n\nThus, the final answer is u = \\boxed{60}.",
"index": 23859,
"question": "Suppose a collection of variables is related by the following definitions: u = a + 3; a = r + 19; c = j + 1; s = q + 6; j = n + 8; k = c + 10; i = 16; q = i + 1; h = i + 10; n = v + 18; z = s + 12; v = h + 20; r = z + 3. Given that i = 16, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"f": "y + 12", "k": "f + 20", "j": "k + 7", "n": "j + 7", "r": "n + 3", "w": "r + 18", "l": "y + 13", "a": "l + 6", "u": "a + 14", "o": "u + 7", "g": "o + 20", "d": "g + 7", "y": 10}, "premises": {"y": 10}, "target": "w"}, "answer": {"steps": [["r", "n + 3", "n + 21"], ["n", "j + 7", "j + 28"], ["j", "k + 7", "k + 35"], ["k", "f + 20", "f + 55"], ["f", "y + 12", "y + 67"], ["y", 10, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"y": 10}, "is_reverse": true}}
| 23,860
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = l + 6; o = u + 7; y = 10; l = y + 13; g = o + 20; u = a + 14; d = g + 7; j = k + 7; r = n + 3; f = y + 12; k = f + 20; n = j + 7; w = r + 18. If y = 10, determine 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 r = n + 3 to w, which gives w = n + 21.\n2. Substitute n = j + 7 to w, which gives w = j + 28.\n3. Substitute j = k + 7 to w, which gives w = k + 35.\n4. Substitute k = f + 20 to w, which gives w = f + 55.\n5. Substitute f = y + 12 to w, which gives w = y + 67.\n6. Substitute y = 10 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 23860,
"question": "Consider a system of variables where each variable is defined as follows: a = l + 6; o = u + 7; y = 10; l = y + 13; g = o + 20; u = a + 14; d = g + 7; j = k + 7; r = n + 3; f = y + 12; k = f + 20; n = j + 7; w = r + 18. If y = 10, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"p": "b + 19", "d": "p + 17", "o": "d + 19", "c": "o + 11", "f": "c + 18", "x": "f + 19", "m": "b + 11", "g": "m + 11", "q": "g + 5", "a": "q + 11", "u": "a + 16", "e": "u + 17", "b": 18}, "premises": {"b": 18}, "target": "x"}, "answer": {"steps": [["f", "c + 18", "c + 37"], ["c", "o + 11", "o + 48"], ["o", "d + 19", "d + 67"], ["d", "p + 17", "p + 84"], ["p", "b + 19", "b + 103"], ["b", 18, "121"]], "target_var_name": "x", "target_value": 121, "value_dict": {"b": 18}, "is_reverse": true}}
| 23,861
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = f + 19; o = d + 19; m = b + 11; b = 18; g = m + 11; d = p + 17; a = q + 11; f = c + 18; e = u + 17; q = g + 5; p = b + 19; u = a + 16; c = o + 11. If b = 18, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 121,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 18 to x, which gives x = c + 37.\n2. Substitute c = o + 11 to x, which gives x = o + 48.\n3. Substitute o = d + 19 to x, which gives x = d + 67.\n4. Substitute d = p + 17 to x, which gives x = p + 84.\n5. Substitute p = b + 19 to x, which gives x = b + 103.\n6. Substitute b = 18 to x, which gives x = 121.\n\nThus, the final answer is x = \\boxed{121}.",
"index": 23861,
"question": "Consider a system of variables where each variable is defined as follows: x = f + 19; o = d + 19; m = b + 11; b = 18; g = m + 11; d = p + 17; a = q + 11; f = c + 18; e = u + 17; q = g + 5; p = b + 19; u = a + 16; c = o + 11. If b = 18, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"g": "h + 15", "p": "g + 3", "r": "p + 16", "d": "r + 11", "a": "d + 6", "k": "a + 15", "n": "h + 4", "z": "n + 3", "q": "z + 14", "y": "q + 15", "c": "y + 13", "m": "c + 5", "h": 18}, "premises": {"h": 18}, "target": "k"}, "answer": {"steps": [["a", "d + 6", "d + 21"], ["d", "r + 11", "r + 32"], ["r", "p + 16", "p + 48"], ["p", "g + 3", "g + 51"], ["g", "h + 15", "h + 66"], ["h", 18, "84"]], "target_var_name": "k", "target_value": 84, "value_dict": {"h": 18}, "is_reverse": true}}
| 23,862
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = p + 16; g = h + 15; k = a + 15; y = q + 15; d = r + 11; q = z + 14; z = n + 3; c = y + 13; h = 18; p = g + 3; a = d + 6; m = c + 5; n = h + 4. If h = 18, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 6 to k, which gives k = d + 21.\n2. Substitute d = r + 11 to k, which gives k = r + 32.\n3. Substitute r = p + 16 to k, which gives k = p + 48.\n4. Substitute p = g + 3 to k, which gives k = g + 51.\n5. Substitute g = h + 15 to k, which gives k = h + 66.\n6. Substitute h = 18 to k, which gives k = 84.\n\nThus, the final answer is k = \\boxed{84}.",
"index": 23862,
"question": "Consider a system of variables where each variable is defined as follows: r = p + 16; g = h + 15; k = a + 15; y = q + 15; d = r + 11; q = z + 14; z = n + 3; c = y + 13; h = 18; p = g + 3; a = d + 6; m = c + 5; n = h + 4. If h = 18, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"a": "l + 11", "b": "a + 5", "s": "b + 10", "k": "s + 11", "n": "k + 13", "e": "n + 1", "j": "l + 13", "p": "j + 3", "u": "p + 14", "v": "u + 15", "y": "v + 12", "r": "y + 5", "l": 20}, "premises": {"l": 20}, "target": "e"}, "answer": {"steps": [["n", "k + 13", "k + 14"], ["k", "s + 11", "s + 25"], ["s", "b + 10", "b + 35"], ["b", "a + 5", "a + 40"], ["a", "l + 11", "l + 51"], ["l", 20, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"l": 20}, "is_reverse": true}}
| 23,863
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = b + 10; l = 20; n = k + 13; a = l + 11; u = p + 14; y = v + 12; e = n + 1; b = a + 5; k = s + 11; j = l + 13; v = u + 15; p = j + 3; r = y + 5. If l = 20, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 13 to e, which gives e = k + 14.\n2. Substitute k = s + 11 to e, which gives e = s + 25.\n3. Substitute s = b + 10 to e, which gives e = b + 35.\n4. Substitute b = a + 5 to e, which gives e = a + 40.\n5. Substitute a = l + 11 to e, which gives e = l + 51.\n6. Substitute l = 20 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 23863,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = b + 10; l = 20; n = k + 13; a = l + 11; u = p + 14; y = v + 12; e = n + 1; b = a + 5; k = s + 11; j = l + 13; v = u + 15; p = j + 3; r = y + 5. If l = 20, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"o": "x + 14", "a": "o + 1", "h": "a + 18", "z": "h + 3", "b": "z + 4", "w": "b + 16", "e": "x + 4", "d": "e + 10", "n": "d + 4", "s": "n + 10", "r": "s + 3", "k": "r + 15", "x": 12}, "premises": {"x": 12}, "target": "w"}, "answer": {"steps": [["b", "z + 4", "z + 20"], ["z", "h + 3", "h + 23"], ["h", "a + 18", "a + 41"], ["a", "o + 1", "o + 42"], ["o", "x + 14", "x + 56"], ["x", 12, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"x": 12}, "is_reverse": true}}
| 23,864
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = 12; h = a + 18; b = z + 4; o = x + 14; d = e + 10; r = s + 3; z = h + 3; w = b + 16; e = x + 4; s = n + 10; n = d + 4; a = o + 1; k = r + 15. If x = 12, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 4 to w, which gives w = z + 20.\n2. Substitute z = h + 3 to w, which gives w = h + 23.\n3. Substitute h = a + 18 to w, which gives w = a + 41.\n4. Substitute a = o + 1 to w, which gives w = o + 42.\n5. Substitute o = x + 14 to w, which gives w = x + 56.\n6. Substitute x = 12 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 23864,
"question": "Consider a system of variables where each variable is defined as follows: x = 12; h = a + 18; b = z + 4; o = x + 14; d = e + 10; r = s + 3; z = h + 3; w = b + 16; e = x + 4; s = n + 10; n = d + 4; a = o + 1; k = r + 15. If x = 12, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"i": "o + 19", "m": "i + 1", "w": "m + 8", "y": "w + 11", "z": "y + 6", "l": "z + 3", "x": "o + 8", "e": "x + 3", "a": "e + 17", "v": "a + 10", "g": "v + 20", "j": "g + 9", "o": 13}, "premises": {"o": 13}, "target": "l"}, "answer": {"steps": [["z", "y + 6", "y + 9"], ["y", "w + 11", "w + 20"], ["w", "m + 8", "m + 28"], ["m", "i + 1", "i + 29"], ["i", "o + 19", "o + 48"], ["o", 13, "61"]], "target_var_name": "l", "target_value": 61, "value_dict": {"o": 13}, "is_reverse": true}}
| 23,865
| 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 = x + 3; i = o + 19; v = a + 10; o = 13; a = e + 17; l = z + 3; m = i + 1; z = y + 6; w = m + 8; x = o + 8; g = v + 20; j = g + 9; y = w + 11. If o = 13, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 6 to l, which gives l = y + 9.\n2. Substitute y = w + 11 to l, which gives l = w + 20.\n3. Substitute w = m + 8 to l, which gives l = m + 28.\n4. Substitute m = i + 1 to l, which gives l = i + 29.\n5. Substitute i = o + 19 to l, which gives l = o + 48.\n6. Substitute o = 13 to l, which gives l = 61.\n\nThus, the final answer is l = \\boxed{61}.",
"index": 23865,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = x + 3; i = o + 19; v = a + 10; o = 13; a = e + 17; l = z + 3; m = i + 1; z = y + 6; w = m + 8; x = o + 8; g = v + 20; j = g + 9; y = w + 11. If o = 13, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"i": "c + 7", "n": "i + 1", "p": "n + 12", "q": "p + 4", "o": "q + 10", "j": "o + 9", "g": "c + 9", "t": "g + 2", "f": "t + 3", "z": "f + 7", "w": "z + 10", "a": "w + 10", "c": 1}, "premises": {"c": 1}, "target": "j"}, "answer": {"steps": [["o", "q + 10", "q + 19"], ["q", "p + 4", "p + 23"], ["p", "n + 12", "n + 35"], ["n", "i + 1", "i + 36"], ["i", "c + 7", "c + 43"], ["c", 1, "44"]], "target_var_name": "j", "target_value": 44, "value_dict": {"c": 1}, "is_reverse": true}}
| 23,866
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = 1; j = o + 9; f = t + 3; o = q + 10; t = g + 2; i = c + 7; p = n + 12; q = p + 4; z = f + 7; n = i + 1; w = z + 10; a = w + 10; g = c + 9. If c = 1, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 10 to j, which gives j = q + 19.\n2. Substitute q = p + 4 to j, which gives j = p + 23.\n3. Substitute p = n + 12 to j, which gives j = n + 35.\n4. Substitute n = i + 1 to j, which gives j = i + 36.\n5. Substitute i = c + 7 to j, which gives j = c + 43.\n6. Substitute c = 1 to j, which gives j = 44.\n\nThus, the final answer is j = \\boxed{44}.",
"index": 23866,
"question": "Consider a system of variables where each variable is defined as follows: c = 1; j = o + 9; f = t + 3; o = q + 10; t = g + 2; i = c + 7; p = n + 12; q = p + 4; z = f + 7; n = i + 1; w = z + 10; a = w + 10; g = c + 9. If c = 1, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"y": "u + 10", "h": "y + 20", "r": "h + 13", "e": "r + 1", "z": "e + 13", "s": "z + 8", "m": "u + 17", "d": "m + 6", "t": "d + 11", "g": "t + 12", "v": "g + 2", "a": "v + 4", "u": 1}, "premises": {"u": 1}, "target": "s"}, "answer": {"steps": [["z", "e + 13", "e + 21"], ["e", "r + 1", "r + 22"], ["r", "h + 13", "h + 35"], ["h", "y + 20", "y + 55"], ["y", "u + 10", "u + 65"], ["u", 1, "66"]], "target_var_name": "s", "target_value": 66, "value_dict": {"u": 1}, "is_reverse": true}}
| 23,867
| 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 + 12; v = g + 2; d = m + 6; s = z + 8; r = h + 13; a = v + 4; z = e + 13; t = d + 11; u = 1; m = u + 17; y = u + 10; e = r + 1; h = y + 20. If u = 1, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 13 to s, which gives s = e + 21.\n2. Substitute e = r + 1 to s, which gives s = r + 22.\n3. Substitute r = h + 13 to s, which gives s = h + 35.\n4. Substitute h = y + 20 to s, which gives s = y + 55.\n5. Substitute y = u + 10 to s, which gives s = u + 65.\n6. Substitute u = 1 to s, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 23867,
"question": "Consider a system of variables where each variable is defined as follows: g = t + 12; v = g + 2; d = m + 6; s = z + 8; r = h + 13; a = v + 4; z = e + 13; t = d + 11; u = 1; m = u + 17; y = u + 10; e = r + 1; h = y + 20. If u = 1, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"e": "q + 17", "g": "e + 7", "y": "g + 16", "i": "y + 17", "u": "i + 3", "m": "u + 8", "b": "q + 2", "s": "b + 16", "l": "s + 12", "k": "l + 14", "v": "k + 14", "r": "v + 10", "q": 20}, "premises": {"q": 20}, "target": "m"}, "answer": {"steps": [["u", "i + 3", "i + 11"], ["i", "y + 17", "y + 28"], ["y", "g + 16", "g + 44"], ["g", "e + 7", "e + 51"], ["e", "q + 17", "q + 68"], ["q", 20, "88"]], "target_var_name": "m", "target_value": 88, "value_dict": {"q": 20}, "is_reverse": true}}
| 23,868
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = q + 2; i = y + 17; v = k + 14; s = b + 16; e = q + 17; m = u + 8; g = e + 7; y = g + 16; k = l + 14; r = v + 10; u = i + 3; q = 20; l = s + 12. If q = 20, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 3 to m, which gives m = i + 11.\n2. Substitute i = y + 17 to m, which gives m = y + 28.\n3. Substitute y = g + 16 to m, which gives m = g + 44.\n4. Substitute g = e + 7 to m, which gives m = e + 51.\n5. Substitute e = q + 17 to m, which gives m = q + 68.\n6. Substitute q = 20 to m, which gives m = 88.\n\nThus, the final answer is m = \\boxed{88}.",
"index": 23868,
"question": "Consider a system of variables where each variable is defined as follows: b = q + 2; i = y + 17; v = k + 14; s = b + 16; e = q + 17; m = u + 8; g = e + 7; y = g + 16; k = l + 14; r = v + 10; u = i + 3; q = 20; l = s + 12. If q = 20, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"e": "m + 18", "v": "e + 10", "b": "v + 20", "a": "b + 19", "c": "a + 16", "s": "c + 20", "x": "m + 2", "q": "x + 10", "n": "q + 16", "i": "n + 10", "f": "i + 16", "w": "f + 7", "m": 14}, "premises": {"m": 14}, "target": "s"}, "answer": {"steps": [["c", "a + 16", "a + 36"], ["a", "b + 19", "b + 55"], ["b", "v + 20", "v + 75"], ["v", "e + 10", "e + 85"], ["e", "m + 18", "m + 103"], ["m", 14, "117"]], "target_var_name": "s", "target_value": 117, "value_dict": {"m": 14}, "is_reverse": true}}
| 23,869
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = e + 10; s = c + 20; q = x + 10; e = m + 18; n = q + 16; x = m + 2; b = v + 20; w = f + 7; a = b + 19; m = 14; c = a + 16; f = i + 16; i = n + 10. If m = 14, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 117,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 16 to s, which gives s = a + 36.\n2. Substitute a = b + 19 to s, which gives s = b + 55.\n3. Substitute b = v + 20 to s, which gives s = v + 75.\n4. Substitute v = e + 10 to s, which gives s = e + 85.\n5. Substitute e = m + 18 to s, which gives s = m + 103.\n6. Substitute m = 14 to s, which gives s = 117.\n\nThus, the final answer is s = \\boxed{117}.",
"index": 23869,
"question": "Consider a system of variables where each variable is defined as follows: v = e + 10; s = c + 20; q = x + 10; e = m + 18; n = q + 16; x = m + 2; b = v + 20; w = f + 7; a = b + 19; m = 14; c = a + 16; f = i + 16; i = n + 10. If m = 14, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"k": "e + 18", "h": "k + 13", "w": "h + 6", "l": "w + 7", "d": "l + 3", "j": "d + 9", "t": "e + 14", "q": "t + 15", "x": "q + 17", "a": "x + 12", "m": "a + 8", "y": "m + 17", "e": 16}, "premises": {"e": 16}, "target": "j"}, "answer": {"steps": [["d", "l + 3", "l + 12"], ["l", "w + 7", "w + 19"], ["w", "h + 6", "h + 25"], ["h", "k + 13", "k + 38"], ["k", "e + 18", "e + 56"], ["e", 16, "72"]], "target_var_name": "j", "target_value": 72, "value_dict": {"e": 16}, "is_reverse": true}}
| 23,870
| 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 = e + 14; a = x + 12; j = d + 9; d = l + 3; k = e + 18; w = h + 6; h = k + 13; q = t + 15; x = q + 17; e = 16; l = w + 7; y = m + 17; m = a + 8. If e = 16, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 3 to j, which gives j = l + 12.\n2. Substitute l = w + 7 to j, which gives j = w + 19.\n3. Substitute w = h + 6 to j, which gives j = h + 25.\n4. Substitute h = k + 13 to j, which gives j = k + 38.\n5. Substitute k = e + 18 to j, which gives j = e + 56.\n6. Substitute e = 16 to j, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 23870,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = e + 14; a = x + 12; j = d + 9; d = l + 3; k = e + 18; w = h + 6; h = k + 13; q = t + 15; x = q + 17; e = 16; l = w + 7; y = m + 17; m = a + 8. If e = 16, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"w": "g + 15", "b": "w + 14", "y": "b + 3", "o": "y + 11", "k": "o + 6", "l": "k + 20", "e": "g + 14", "j": "e + 3", "z": "j + 15", "h": "z + 4", "x": "h + 19", "a": "x + 1", "g": 16}, "premises": {"g": 16}, "target": "l"}, "answer": {"steps": [["k", "o + 6", "o + 26"], ["o", "y + 11", "y + 37"], ["y", "b + 3", "b + 40"], ["b", "w + 14", "w + 54"], ["w", "g + 15", "g + 69"], ["g", 16, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"g": 16}, "is_reverse": true}}
| 23,871
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = y + 11; j = e + 3; l = k + 20; w = g + 15; b = w + 14; g = 16; h = z + 4; z = j + 15; e = g + 14; y = b + 3; a = x + 1; k = o + 6; x = h + 19. If g = 16, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 6 to l, which gives l = o + 26.\n2. Substitute o = y + 11 to l, which gives l = y + 37.\n3. Substitute y = b + 3 to l, which gives l = b + 40.\n4. Substitute b = w + 14 to l, which gives l = w + 54.\n5. Substitute w = g + 15 to l, which gives l = g + 69.\n6. Substitute g = 16 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 23871,
"question": "Consider a system of variables where each variable is defined as follows: o = y + 11; j = e + 3; l = k + 20; w = g + 15; b = w + 14; g = 16; h = z + 4; z = j + 15; e = g + 14; y = b + 3; a = x + 1; k = o + 6; x = h + 19. If g = 16, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"y": "x + 9", "i": "y + 6", "c": "i + 10", "a": "c + 1", "q": "a + 11", "b": "q + 3", "s": "x + 14", "n": "s + 3", "p": "n + 15", "w": "p + 5", "d": "w + 10", "k": "d + 15", "x": 2}, "premises": {"x": 2}, "target": "b"}, "answer": {"steps": [["q", "a + 11", "a + 14"], ["a", "c + 1", "c + 15"], ["c", "i + 10", "i + 25"], ["i", "y + 6", "y + 31"], ["y", "x + 9", "x + 40"], ["x", 2, "42"]], "target_var_name": "b", "target_value": 42, "value_dict": {"x": 2}, "is_reverse": true}}
| 23,872
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = s + 3; x = 2; y = x + 9; k = d + 15; i = y + 6; b = q + 3; d = w + 10; w = p + 5; s = x + 14; q = a + 11; c = i + 10; p = n + 15; a = c + 1. Given that x = 2, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 11 to b, which gives b = a + 14.\n2. Substitute a = c + 1 to b, which gives b = c + 15.\n3. Substitute c = i + 10 to b, which gives b = i + 25.\n4. Substitute i = y + 6 to b, which gives b = y + 31.\n5. Substitute y = x + 9 to b, which gives b = x + 40.\n6. Substitute x = 2 to b, which gives b = 42.\n\nThus, the final answer is b = \\boxed{42}.",
"index": 23872,
"question": "Suppose a collection of variables is related by the following definitions: n = s + 3; x = 2; y = x + 9; k = d + 15; i = y + 6; b = q + 3; d = w + 10; w = p + 5; s = x + 14; q = a + 11; c = i + 10; p = n + 15; a = c + 1. Given that x = 2, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"i": "m + 8", "w": "i + 12", "r": "w + 8", "n": "r + 20", "b": "n + 13", "t": "b + 20", "a": "m + 1", "h": "a + 10", "y": "h + 18", "d": "y + 13", "v": "d + 4", "s": "v + 6", "m": 5}, "premises": {"m": 5}, "target": "t"}, "answer": {"steps": [["b", "n + 13", "n + 33"], ["n", "r + 20", "r + 53"], ["r", "w + 8", "w + 61"], ["w", "i + 12", "i + 73"], ["i", "m + 8", "m + 81"], ["m", 5, "86"]], "target_var_name": "t", "target_value": 86, "value_dict": {"m": 5}, "is_reverse": true}}
| 23,873
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = n + 13; n = r + 20; a = m + 1; i = m + 8; y = h + 18; d = y + 13; m = 5; v = d + 4; h = a + 10; w = i + 12; t = b + 20; s = v + 6; r = w + 8. If m = 5, 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 b = n + 13 to t, which gives t = n + 33.\n2. Substitute n = r + 20 to t, which gives t = r + 53.\n3. Substitute r = w + 8 to t, which gives t = w + 61.\n4. Substitute w = i + 12 to t, which gives t = i + 73.\n5. Substitute i = m + 8 to t, which gives t = m + 81.\n6. Substitute m = 5 to t, which gives t = 86.\n\nThus, the final answer is t = \\boxed{86}.",
"index": 23873,
"question": "Consider a system of variables where each variable is defined as follows: b = n + 13; n = r + 20; a = m + 1; i = m + 8; y = h + 18; d = y + 13; m = 5; v = d + 4; h = a + 10; w = i + 12; t = b + 20; s = v + 6; r = w + 8. If m = 5, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"i": "y + 14", "j": "i + 11", "u": "j + 14", "a": "u + 7", "f": "a + 7", "z": "f + 20", "w": "y + 9", "d": "w + 8", "s": "d + 17", "o": "s + 17", "b": "o + 6", "e": "b + 4", "y": 15}, "premises": {"y": 15}, "target": "z"}, "answer": {"steps": [["f", "a + 7", "a + 27"], ["a", "u + 7", "u + 34"], ["u", "j + 14", "j + 48"], ["j", "i + 11", "i + 59"], ["i", "y + 14", "y + 73"], ["y", 15, "88"]], "target_var_name": "z", "target_value": 88, "value_dict": {"y": 15}, "is_reverse": true}}
| 23,874
| 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 = o + 6; o = s + 17; u = j + 14; z = f + 20; s = d + 17; y = 15; j = i + 11; d = w + 8; e = b + 4; w = y + 9; f = a + 7; i = y + 14; a = u + 7. If y = 15, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 7 to z, which gives z = a + 27.\n2. Substitute a = u + 7 to z, which gives z = u + 34.\n3. Substitute u = j + 14 to z, which gives z = j + 48.\n4. Substitute j = i + 11 to z, which gives z = i + 59.\n5. Substitute i = y + 14 to z, which gives z = y + 73.\n6. Substitute y = 15 to z, which gives z = 88.\n\nThus, the final answer is z = \\boxed{88}.",
"index": 23874,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = o + 6; o = s + 17; u = j + 14; z = f + 20; s = d + 17; y = 15; j = i + 11; d = w + 8; e = b + 4; w = y + 9; f = a + 7; i = y + 14; a = u + 7. If y = 15, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"r": "m + 12", "s": "r + 15", "j": "s + 4", "u": "j + 20", "n": "u + 8", "z": "n + 18", "w": "m + 16", "o": "w + 4", "d": "o + 7", "h": "d + 17", "i": "h + 19", "e": "i + 2", "m": 3}, "premises": {"m": 3}, "target": "z"}, "answer": {"steps": [["n", "u + 8", "u + 26"], ["u", "j + 20", "j + 46"], ["j", "s + 4", "s + 50"], ["s", "r + 15", "r + 65"], ["r", "m + 12", "m + 77"], ["m", 3, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"m": 3}, "is_reverse": true}}
| 23,875
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = 3; d = o + 7; z = n + 18; o = w + 4; i = h + 19; j = s + 4; h = d + 17; u = j + 20; n = u + 8; w = m + 16; s = r + 15; e = i + 2; r = m + 12. If m = 3, determine the 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 n = u + 8 to z, which gives z = u + 26.\n2. Substitute u = j + 20 to z, which gives z = j + 46.\n3. Substitute j = s + 4 to z, which gives z = s + 50.\n4. Substitute s = r + 15 to z, which gives z = r + 65.\n5. Substitute r = m + 12 to z, which gives z = m + 77.\n6. Substitute m = 3 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 23875,
"question": "Consider a system of variables where each variable is defined as follows: m = 3; d = o + 7; z = n + 18; o = w + 4; i = h + 19; j = s + 4; h = d + 17; u = j + 20; n = u + 8; w = m + 16; s = r + 15; e = i + 2; r = m + 12. If m = 3, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"h": "m + 10", "b": "h + 9", "o": "b + 5", "f": "o + 20", "i": "f + 14", "r": "i + 1", "w": "m + 7", "k": "w + 15", "s": "k + 7", "y": "s + 10", "p": "y + 17", "x": "p + 12", "m": 15}, "premises": {"m": 15}, "target": "r"}, "answer": {"steps": [["i", "f + 14", "f + 15"], ["f", "o + 20", "o + 35"], ["o", "b + 5", "b + 40"], ["b", "h + 9", "h + 49"], ["h", "m + 10", "m + 59"], ["m", 15, "74"]], "target_var_name": "r", "target_value": 74, "value_dict": {"m": 15}, "is_reverse": true}}
| 23,876
| 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 = p + 12; o = b + 5; f = o + 20; p = y + 17; r = i + 1; w = m + 7; k = w + 15; s = k + 7; m = 15; i = f + 14; h = m + 10; b = h + 9; y = s + 10. If m = 15, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 14 to r, which gives r = f + 15.\n2. Substitute f = o + 20 to r, which gives r = o + 35.\n3. Substitute o = b + 5 to r, which gives r = b + 40.\n4. Substitute b = h + 9 to r, which gives r = h + 49.\n5. Substitute h = m + 10 to r, which gives r = m + 59.\n6. Substitute m = 15 to r, which gives r = 74.\n\nThus, the final answer is r = \\boxed{74}.",
"index": 23876,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = p + 12; o = b + 5; f = o + 20; p = y + 17; r = i + 1; w = m + 7; k = w + 15; s = k + 7; m = 15; i = f + 14; h = m + 10; b = h + 9; y = s + 10. If m = 15, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"x": "q + 11", "k": "x + 1", "g": "k + 7", "y": "g + 3", "h": "y + 14", "i": "h + 4", "z": "q + 7", "v": "z + 19", "s": "v + 12", "w": "s + 12", "t": "w + 6", "o": "t + 20", "q": 13}, "premises": {"q": 13}, "target": "i"}, "answer": {"steps": [["h", "y + 14", "y + 18"], ["y", "g + 3", "g + 21"], ["g", "k + 7", "k + 28"], ["k", "x + 1", "x + 29"], ["x", "q + 11", "q + 40"], ["q", 13, "53"]], "target_var_name": "i", "target_value": 53, "value_dict": {"q": 13}, "is_reverse": true}}
| 23,877
| 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 = 13; y = g + 3; k = x + 1; i = h + 4; h = y + 14; t = w + 6; g = k + 7; v = z + 19; w = s + 12; x = q + 11; o = t + 20; s = v + 12; z = q + 7. If q = 13, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 14 to i, which gives i = y + 18.\n2. Substitute y = g + 3 to i, which gives i = g + 21.\n3. Substitute g = k + 7 to i, which gives i = k + 28.\n4. Substitute k = x + 1 to i, which gives i = x + 29.\n5. Substitute x = q + 11 to i, which gives i = q + 40.\n6. Substitute q = 13 to i, which gives i = 53.\n\nThus, the final answer is i = \\boxed{53}.",
"index": 23877,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 13; y = g + 3; k = x + 1; i = h + 4; h = y + 14; t = w + 6; g = k + 7; v = z + 19; w = s + 12; x = q + 11; o = t + 20; s = v + 12; z = q + 7. If q = 13, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"y": "l + 1", "p": "y + 7", "f": "p + 10", "d": "f + 3", "e": "d + 13", "q": "e + 14", "j": "l + 11", "b": "j + 8", "s": "b + 4", "h": "s + 5", "a": "h + 13", "c": "a + 18", "l": 15}, "premises": {"l": 15}, "target": "q"}, "answer": {"steps": [["e", "d + 13", "d + 27"], ["d", "f + 3", "f + 30"], ["f", "p + 10", "p + 40"], ["p", "y + 7", "y + 47"], ["y", "l + 1", "l + 48"], ["l", 15, "63"]], "target_var_name": "q", "target_value": 63, "value_dict": {"l": 15}, "is_reverse": true}}
| 23,878
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = p + 10; y = l + 1; s = b + 4; e = d + 13; j = l + 11; p = y + 7; a = h + 13; c = a + 18; h = s + 5; b = j + 8; d = f + 3; q = e + 14; l = 15. Given that l = 15, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 13 to q, which gives q = d + 27.\n2. Substitute d = f + 3 to q, which gives q = f + 30.\n3. Substitute f = p + 10 to q, which gives q = p + 40.\n4. Substitute p = y + 7 to q, which gives q = y + 47.\n5. Substitute y = l + 1 to q, which gives q = l + 48.\n6. Substitute l = 15 to q, which gives q = 63.\n\nThus, the final answer is q = \\boxed{63}.",
"index": 23878,
"question": "Suppose a collection of variables is related by the following definitions: f = p + 10; y = l + 1; s = b + 4; e = d + 13; j = l + 11; p = y + 7; a = h + 13; c = a + 18; h = s + 5; b = j + 8; d = f + 3; q = e + 14; l = 15. Given that l = 15, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"m": "o + 12", "r": "m + 9", "u": "r + 16", "p": "u + 7", "e": "p + 16", "d": "e + 3", "x": "o + 20", "b": "x + 7", "q": "b + 7", "j": "q + 16", "i": "j + 18", "h": "i + 10", "o": 11}, "premises": {"o": 11}, "target": "d"}, "answer": {"steps": [["e", "p + 16", "p + 19"], ["p", "u + 7", "u + 26"], ["u", "r + 16", "r + 42"], ["r", "m + 9", "m + 51"], ["m", "o + 12", "o + 63"], ["o", 11, "74"]], "target_var_name": "d", "target_value": 74, "value_dict": {"o": 11}, "is_reverse": true}}
| 23,879
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = 11; p = u + 7; r = m + 9; u = r + 16; q = b + 7; m = o + 12; i = j + 18; e = p + 16; j = q + 16; b = x + 7; d = e + 3; h = i + 10; x = o + 20. If o = 11, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 16 to d, which gives d = p + 19.\n2. Substitute p = u + 7 to d, which gives d = u + 26.\n3. Substitute u = r + 16 to d, which gives d = r + 42.\n4. Substitute r = m + 9 to d, which gives d = m + 51.\n5. Substitute m = o + 12 to d, which gives d = o + 63.\n6. Substitute o = 11 to d, which gives d = 74.\n\nThus, the final answer is d = \\boxed{74}.",
"index": 23879,
"question": "Consider a system of variables where each variable is defined as follows: o = 11; p = u + 7; r = m + 9; u = r + 16; q = b + 7; m = o + 12; i = j + 18; e = p + 16; j = q + 16; b = x + 7; d = e + 3; h = i + 10; x = o + 20. If o = 11, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"j": "f + 1", "e": "j + 19", "o": "e + 12", "v": "o + 2", "u": "v + 4", "k": "u + 11", "m": "f + 4", "b": "m + 16", "g": "b + 18", "t": "g + 12", "z": "t + 11", "i": "z + 5", "f": 11}, "premises": {"f": 11}, "target": "k"}, "answer": {"steps": [["u", "v + 4", "v + 15"], ["v", "o + 2", "o + 17"], ["o", "e + 12", "e + 29"], ["e", "j + 19", "j + 48"], ["j", "f + 1", "f + 49"], ["f", 11, "60"]], "target_var_name": "k", "target_value": 60, "value_dict": {"f": 11}, "is_reverse": true}}
| 23,880
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 16; f = 11; t = g + 12; e = j + 19; m = f + 4; u = v + 4; j = f + 1; g = b + 18; o = e + 12; k = u + 11; z = t + 11; v = o + 2; i = z + 5. Given that f = 11, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 4 to k, which gives k = v + 15.\n2. Substitute v = o + 2 to k, which gives k = o + 17.\n3. Substitute o = e + 12 to k, which gives k = e + 29.\n4. Substitute e = j + 19 to k, which gives k = j + 48.\n5. Substitute j = f + 1 to k, which gives k = f + 49.\n6. Substitute f = 11 to k, which gives k = 60.\n\nThus, the final answer is k = \\boxed{60}.",
"index": 23880,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 16; f = 11; t = g + 12; e = j + 19; m = f + 4; u = v + 4; j = f + 1; g = b + 18; o = e + 12; k = u + 11; z = t + 11; v = o + 2; i = z + 5. Given that f = 11, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 13", "g": "m + 9", "t": "g + 11", "j": "t + 9", "o": "j + 16", "q": "o + 4", "e": "x + 3", "b": "e + 20", "r": "b + 12", "w": "r + 8", "k": "w + 9", "z": "k + 10", "x": 2}, "premises": {"x": 2}, "target": "q"}, "answer": {"steps": [["o", "j + 16", "j + 20"], ["j", "t + 9", "t + 29"], ["t", "g + 11", "g + 40"], ["g", "m + 9", "m + 49"], ["m", "x + 13", "x + 62"], ["x", 2, "64"]], "target_var_name": "q", "target_value": 64, "value_dict": {"x": 2}, "is_reverse": true}}
| 23,881
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = 2; b = e + 20; z = k + 10; t = g + 11; j = t + 9; g = m + 9; q = o + 4; m = x + 13; k = w + 9; o = j + 16; w = r + 8; e = x + 3; r = b + 12. If x = 2, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 16 to q, which gives q = j + 20.\n2. Substitute j = t + 9 to q, which gives q = t + 29.\n3. Substitute t = g + 11 to q, which gives q = g + 40.\n4. Substitute g = m + 9 to q, which gives q = m + 49.\n5. Substitute m = x + 13 to q, which gives q = x + 62.\n6. Substitute x = 2 to q, which gives q = 64.\n\nThus, the final answer is q = \\boxed{64}.",
"index": 23881,
"question": "Consider a system of variables where each variable is defined as follows: x = 2; b = e + 20; z = k + 10; t = g + 11; j = t + 9; g = m + 9; q = o + 4; m = x + 13; k = w + 9; o = j + 16; w = r + 8; e = x + 3; r = b + 12. If x = 2, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"s": "p + 14", "b": "s + 9", "c": "b + 2", "q": "c + 7", "a": "q + 5", "f": "a + 18", "g": "p + 15", "t": "g + 19", "d": "t + 19", "y": "d + 2", "x": "y + 6", "i": "x + 7", "p": 6}, "premises": {"p": 6}, "target": "f"}, "answer": {"steps": [["a", "q + 5", "q + 23"], ["q", "c + 7", "c + 30"], ["c", "b + 2", "b + 32"], ["b", "s + 9", "s + 41"], ["s", "p + 14", "p + 55"], ["p", 6, "61"]], "target_var_name": "f", "target_value": 61, "value_dict": {"p": 6}, "is_reverse": true}}
| 23,882
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = q + 5; b = s + 9; f = a + 18; d = t + 19; t = g + 19; g = p + 15; q = c + 7; i = x + 7; s = p + 14; c = b + 2; p = 6; x = y + 6; y = d + 2. Given that p = 6, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 5 to f, which gives f = q + 23.\n2. Substitute q = c + 7 to f, which gives f = c + 30.\n3. Substitute c = b + 2 to f, which gives f = b + 32.\n4. Substitute b = s + 9 to f, which gives f = s + 41.\n5. Substitute s = p + 14 to f, which gives f = p + 55.\n6. Substitute p = 6 to f, which gives f = 61.\n\nThus, the final answer is f = \\boxed{61}.",
"index": 23882,
"question": "Suppose a collection of variables is related by the following definitions: a = q + 5; b = s + 9; f = a + 18; d = t + 19; t = g + 19; g = p + 15; q = c + 7; i = x + 7; s = p + 14; c = b + 2; p = 6; x = y + 6; y = d + 2. Given that p = 6, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"d": "j + 14", "e": "d + 14", "w": "e + 19", "s": "w + 16", "t": "s + 4", "p": "t + 7", "x": "j + 11", "m": "x + 1", "f": "m + 6", "g": "f + 14", "r": "g + 10", "q": "r + 1", "j": 9}, "premises": {"j": 9}, "target": "p"}, "answer": {"steps": [["t", "s + 4", "s + 11"], ["s", "w + 16", "w + 27"], ["w", "e + 19", "e + 46"], ["e", "d + 14", "d + 60"], ["d", "j + 14", "j + 74"], ["j", 9, "83"]], "target_var_name": "p", "target_value": 83, "value_dict": {"j": 9}, "is_reverse": true}}
| 23,883
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = 9; g = f + 14; w = e + 19; t = s + 4; m = x + 1; q = r + 1; e = d + 14; p = t + 7; f = m + 6; d = j + 14; s = w + 16; r = g + 10; x = j + 11. Given that j = 9, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 4 to p, which gives p = s + 11.\n2. Substitute s = w + 16 to p, which gives p = w + 27.\n3. Substitute w = e + 19 to p, which gives p = e + 46.\n4. Substitute e = d + 14 to p, which gives p = d + 60.\n5. Substitute d = j + 14 to p, which gives p = j + 74.\n6. Substitute j = 9 to p, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 23883,
"question": "Suppose a collection of variables is related by the following definitions: j = 9; g = f + 14; w = e + 19; t = s + 4; m = x + 1; q = r + 1; e = d + 14; p = t + 7; f = m + 6; d = j + 14; s = w + 16; r = g + 10; x = j + 11. Given that j = 9, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"t": "o + 18", "u": "t + 3", "i": "u + 18", "d": "i + 3", "g": "d + 18", "z": "g + 12", "b": "o + 3", "m": "b + 5", "k": "m + 14", "c": "k + 16", "y": "c + 2", "h": "y + 13", "o": 12}, "premises": {"o": 12}, "target": "z"}, "answer": {"steps": [["g", "d + 18", "d + 30"], ["d", "i + 3", "i + 33"], ["i", "u + 18", "u + 51"], ["u", "t + 3", "t + 54"], ["t", "o + 18", "o + 72"], ["o", 12, "84"]], "target_var_name": "z", "target_value": 84, "value_dict": {"o": 12}, "is_reverse": true}}
| 23,884
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = m + 14; d = i + 3; z = g + 12; o = 12; y = c + 2; u = t + 3; b = o + 3; g = d + 18; h = y + 13; c = k + 16; m = b + 5; i = u + 18; t = o + 18. Given that o = 12, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 18 to z, which gives z = d + 30.\n2. Substitute d = i + 3 to z, which gives z = i + 33.\n3. Substitute i = u + 18 to z, which gives z = u + 51.\n4. Substitute u = t + 3 to z, which gives z = t + 54.\n5. Substitute t = o + 18 to z, which gives z = o + 72.\n6. Substitute o = 12 to z, which gives z = 84.\n\nThus, the final answer is z = \\boxed{84}.",
"index": 23884,
"question": "Suppose a collection of variables is related by the following definitions: k = m + 14; d = i + 3; z = g + 12; o = 12; y = c + 2; u = t + 3; b = o + 3; g = d + 18; h = y + 13; c = k + 16; m = b + 5; i = u + 18; t = o + 18. Given that o = 12, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"u": "h + 3", "s": "u + 3", "a": "s + 11", "e": "a + 5", "b": "e + 13", "y": "b + 6", "t": "h + 2", "r": "t + 19", "w": "r + 20", "k": "w + 13", "n": "k + 15", "o": "n + 13", "h": 11}, "premises": {"h": 11}, "target": "y"}, "answer": {"steps": [["b", "e + 13", "e + 19"], ["e", "a + 5", "a + 24"], ["a", "s + 11", "s + 35"], ["s", "u + 3", "u + 38"], ["u", "h + 3", "h + 41"], ["h", 11, "52"]], "target_var_name": "y", "target_value": 52, "value_dict": {"h": 11}, "is_reverse": true}}
| 23,885
| 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 = a + 5; k = w + 13; w = r + 20; s = u + 3; r = t + 19; a = s + 11; n = k + 15; o = n + 13; t = h + 2; b = e + 13; u = h + 3; h = 11; y = b + 6. If h = 11, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 13 to y, which gives y = e + 19.\n2. Substitute e = a + 5 to y, which gives y = a + 24.\n3. Substitute a = s + 11 to y, which gives y = s + 35.\n4. Substitute s = u + 3 to y, which gives y = u + 38.\n5. Substitute u = h + 3 to y, which gives y = h + 41.\n6. Substitute h = 11 to y, which gives y = 52.\n\nThus, the final answer is y = \\boxed{52}.",
"index": 23885,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = a + 5; k = w + 13; w = r + 20; s = u + 3; r = t + 19; a = s + 11; n = k + 15; o = n + 13; t = h + 2; b = e + 13; u = h + 3; h = 11; y = b + 6. If h = 11, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"a": "v + 9", "l": "a + 12", "g": "l + 6", "w": "g + 4", "o": "w + 7", "s": "o + 3", "x": "v + 7", "e": "x + 8", "j": "e + 19", "r": "j + 11", "h": "r + 16", "f": "h + 9", "v": 16}, "premises": {"v": 16}, "target": "s"}, "answer": {"steps": [["o", "w + 7", "w + 10"], ["w", "g + 4", "g + 14"], ["g", "l + 6", "l + 20"], ["l", "a + 12", "a + 32"], ["a", "v + 9", "v + 41"], ["v", 16, "57"]], "target_var_name": "s", "target_value": 57, "value_dict": {"v": 16}, "is_reverse": true}}
| 23,886
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = l + 6; h = r + 16; a = v + 9; e = x + 8; o = w + 7; w = g + 4; l = a + 12; f = h + 9; v = 16; j = e + 19; x = v + 7; r = j + 11; s = o + 3. Given that v = 16, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 7 to s, which gives s = w + 10.\n2. Substitute w = g + 4 to s, which gives s = g + 14.\n3. Substitute g = l + 6 to s, which gives s = l + 20.\n4. Substitute l = a + 12 to s, which gives s = a + 32.\n5. Substitute a = v + 9 to s, which gives s = v + 41.\n6. Substitute v = 16 to s, which gives s = 57.\n\nThus, the final answer is s = \\boxed{57}.",
"index": 23886,
"question": "Suppose a collection of variables is related by the following definitions: g = l + 6; h = r + 16; a = v + 9; e = x + 8; o = w + 7; w = g + 4; l = a + 12; f = h + 9; v = 16; j = e + 19; x = v + 7; r = j + 11; s = o + 3. Given that v = 16, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"a": "i + 18", "t": "a + 2", "v": "t + 4", "m": "v + 4", "o": "m + 11", "y": "o + 4", "u": "i + 2", "p": "u + 1", "z": "p + 14", "s": "z + 16", "q": "s + 6", "r": "q + 5", "i": 5}, "premises": {"i": 5}, "target": "y"}, "answer": {"steps": [["o", "m + 11", "m + 15"], ["m", "v + 4", "v + 19"], ["v", "t + 4", "t + 23"], ["t", "a + 2", "a + 25"], ["a", "i + 18", "i + 43"], ["i", 5, "48"]], "target_var_name": "y", "target_value": 48, "value_dict": {"i": 5}, "is_reverse": true}}
| 23,887
| 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 = v + 4; i = 5; t = a + 2; q = s + 6; v = t + 4; u = i + 2; s = z + 16; a = i + 18; o = m + 11; z = p + 14; p = u + 1; y = o + 4; r = q + 5. If i = 5, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 11 to y, which gives y = m + 15.\n2. Substitute m = v + 4 to y, which gives y = v + 19.\n3. Substitute v = t + 4 to y, which gives y = t + 23.\n4. Substitute t = a + 2 to y, which gives y = a + 25.\n5. Substitute a = i + 18 to y, which gives y = i + 43.\n6. Substitute i = 5 to y, which gives y = 48.\n\nThus, the final answer is y = \\boxed{48}.",
"index": 23887,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 4; i = 5; t = a + 2; q = s + 6; v = t + 4; u = i + 2; s = z + 16; a = i + 18; o = m + 11; z = p + 14; p = u + 1; y = o + 4; r = q + 5. If i = 5, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"o": "v + 7", "l": "o + 10", "t": "l + 4", "x": "t + 2", "f": "x + 9", "a": "f + 11", "j": "v + 10", "h": "j + 7", "i": "h + 15", "u": "i + 1", "p": "u + 1", "c": "p + 20", "v": 12}, "premises": {"v": 12}, "target": "a"}, "answer": {"steps": [["f", "x + 9", "x + 20"], ["x", "t + 2", "t + 22"], ["t", "l + 4", "l + 26"], ["l", "o + 10", "o + 36"], ["o", "v + 7", "v + 43"], ["v", 12, "55"]], "target_var_name": "a", "target_value": 55, "value_dict": {"v": 12}, "is_reverse": true}}
| 23,888
| 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 + 7; j = v + 10; o = v + 7; c = p + 20; f = x + 9; v = 12; t = l + 4; a = f + 11; i = h + 15; x = t + 2; p = u + 1; u = i + 1; l = o + 10. If v = 12, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 9 to a, which gives a = x + 20.\n2. Substitute x = t + 2 to a, which gives a = t + 22.\n3. Substitute t = l + 4 to a, which gives a = l + 26.\n4. Substitute l = o + 10 to a, which gives a = o + 36.\n5. Substitute o = v + 7 to a, which gives a = v + 43.\n6. Substitute v = 12 to a, which gives a = 55.\n\nThus, the final answer is a = \\boxed{55}.",
"index": 23888,
"question": "Consider a system of variables where each variable is defined as follows: h = j + 7; j = v + 10; o = v + 7; c = p + 20; f = x + 9; v = 12; t = l + 4; a = f + 11; i = h + 15; x = t + 2; p = u + 1; u = i + 1; l = o + 10. If v = 12, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"s": "u + 15", "v": "s + 10", "r": "v + 6", "b": "r + 14", "m": "b + 4", "e": "m + 12", "h": "u + 3", "p": "h + 1", "l": "p + 17", "g": "l + 1", "w": "g + 7", "o": "w + 1", "u": 7}, "premises": {"u": 7}, "target": "e"}, "answer": {"steps": [["m", "b + 4", "b + 16"], ["b", "r + 14", "r + 30"], ["r", "v + 6", "v + 36"], ["v", "s + 10", "s + 46"], ["s", "u + 15", "u + 61"], ["u", 7, "68"]], "target_var_name": "e", "target_value": 68, "value_dict": {"u": 7}, "is_reverse": true}}
| 23,889
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = h + 1; u = 7; g = l + 1; m = b + 4; s = u + 15; e = m + 12; r = v + 6; o = w + 1; b = r + 14; v = s + 10; h = u + 3; l = p + 17; w = g + 7. Given that u = 7, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 4 to e, which gives e = b + 16.\n2. Substitute b = r + 14 to e, which gives e = r + 30.\n3. Substitute r = v + 6 to e, which gives e = v + 36.\n4. Substitute v = s + 10 to e, which gives e = s + 46.\n5. Substitute s = u + 15 to e, which gives e = u + 61.\n6. Substitute u = 7 to e, which gives e = 68.\n\nThus, the final answer is e = \\boxed{68}.",
"index": 23889,
"question": "Suppose a collection of variables is related by the following definitions: p = h + 1; u = 7; g = l + 1; m = b + 4; s = u + 15; e = m + 12; r = v + 6; o = w + 1; b = r + 14; v = s + 10; h = u + 3; l = p + 17; w = g + 7. Given that u = 7, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"j": "z + 16", "c": "j + 3", "i": "c + 9", "m": "i + 7", "t": "m + 2", "s": "t + 6", "k": "z + 1", "o": "k + 15", "x": "o + 7", "a": "x + 6", "q": "a + 3", "u": "q + 13", "z": 15}, "premises": {"z": 15}, "target": "s"}, "answer": {"steps": [["t", "m + 2", "m + 8"], ["m", "i + 7", "i + 15"], ["i", "c + 9", "c + 24"], ["c", "j + 3", "j + 27"], ["j", "z + 16", "z + 43"], ["z", 15, "58"]], "target_var_name": "s", "target_value": 58, "value_dict": {"z": 15}, "is_reverse": true}}
| 23,890
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = k + 15; i = c + 9; u = q + 13; s = t + 6; z = 15; t = m + 2; a = x + 6; q = a + 3; m = i + 7; x = o + 7; k = z + 1; c = j + 3; j = z + 16. If z = 15, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 2 to s, which gives s = m + 8.\n2. Substitute m = i + 7 to s, which gives s = i + 15.\n3. Substitute i = c + 9 to s, which gives s = c + 24.\n4. Substitute c = j + 3 to s, which gives s = j + 27.\n5. Substitute j = z + 16 to s, which gives s = z + 43.\n6. Substitute z = 15 to s, which gives s = 58.\n\nThus, the final answer is s = \\boxed{58}.",
"index": 23890,
"question": "Consider a system of variables where each variable is defined as follows: o = k + 15; i = c + 9; u = q + 13; s = t + 6; z = 15; t = m + 2; a = x + 6; q = a + 3; m = i + 7; x = o + 7; k = z + 1; c = j + 3; j = z + 16. If z = 15, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"f": "l + 2", "i": "f + 7", "w": "i + 18", "h": "w + 1", "r": "h + 5", "n": "r + 16", "s": "l + 17", "x": "s + 11", "c": "x + 20", "a": "c + 1", "q": "a + 7", "b": "q + 2", "l": 19}, "premises": {"l": 19}, "target": "n"}, "answer": {"steps": [["r", "h + 5", "h + 21"], ["h", "w + 1", "w + 22"], ["w", "i + 18", "i + 40"], ["i", "f + 7", "f + 47"], ["f", "l + 2", "l + 49"], ["l", 19, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"l": 19}, "is_reverse": true}}
| 23,891
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = i + 18; a = c + 1; l = 19; c = x + 20; b = q + 2; f = l + 2; q = a + 7; n = r + 16; r = h + 5; i = f + 7; h = w + 1; x = s + 11; s = l + 17. Given that l = 19, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 5 to n, which gives n = h + 21.\n2. Substitute h = w + 1 to n, which gives n = w + 22.\n3. Substitute w = i + 18 to n, which gives n = i + 40.\n4. Substitute i = f + 7 to n, which gives n = f + 47.\n5. Substitute f = l + 2 to n, which gives n = l + 49.\n6. Substitute l = 19 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 23891,
"question": "Suppose a collection of variables is related by the following definitions: w = i + 18; a = c + 1; l = 19; c = x + 20; b = q + 2; f = l + 2; q = a + 7; n = r + 16; r = h + 5; i = f + 7; h = w + 1; x = s + 11; s = l + 17. Given that l = 19, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"m": "j + 13", "k": "m + 1", "e": "k + 16", "y": "e + 8", "p": "y + 15", "h": "p + 16", "d": "j + 4", "b": "d + 16", "g": "b + 12", "s": "g + 15", "x": "s + 16", "q": "x + 15", "j": 19}, "premises": {"j": 19}, "target": "h"}, "answer": {"steps": [["p", "y + 15", "y + 31"], ["y", "e + 8", "e + 39"], ["e", "k + 16", "k + 55"], ["k", "m + 1", "m + 56"], ["m", "j + 13", "j + 69"], ["j", 19, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"j": 19}, "is_reverse": true}}
| 23,892
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = g + 15; j = 19; m = j + 13; d = j + 4; k = m + 1; q = x + 15; b = d + 16; y = e + 8; g = b + 12; h = p + 16; p = y + 15; e = k + 16; x = s + 16. If j = 19, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 15 to h, which gives h = y + 31.\n2. Substitute y = e + 8 to h, which gives h = e + 39.\n3. Substitute e = k + 16 to h, which gives h = k + 55.\n4. Substitute k = m + 1 to h, which gives h = m + 56.\n5. Substitute m = j + 13 to h, which gives h = j + 69.\n6. Substitute j = 19 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 23892,
"question": "Consider a system of variables where each variable is defined as follows: s = g + 15; j = 19; m = j + 13; d = j + 4; k = m + 1; q = x + 15; b = d + 16; y = e + 8; g = b + 12; h = p + 16; p = y + 15; e = k + 16; x = s + 16. If j = 19, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"q": "r + 14", "j": "q + 7", "y": "j + 15", "z": "y + 5", "a": "z + 14", "o": "a + 15", "l": "r + 15", "h": "l + 15", "x": "h + 13", "k": "x + 19", "i": "k + 8", "b": "i + 9", "r": 5}, "premises": {"r": 5}, "target": "o"}, "answer": {"steps": [["a", "z + 14", "z + 29"], ["z", "y + 5", "y + 34"], ["y", "j + 15", "j + 49"], ["j", "q + 7", "q + 56"], ["q", "r + 14", "r + 70"], ["r", 5, "75"]], "target_var_name": "o", "target_value": 75, "value_dict": {"r": 5}, "is_reverse": true}}
| 23,893
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = a + 15; x = h + 13; j = q + 7; a = z + 14; b = i + 9; r = 5; y = j + 15; k = x + 19; l = r + 15; i = k + 8; z = y + 5; q = r + 14; h = l + 15. Given that r = 5, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 14 to o, which gives o = z + 29.\n2. Substitute z = y + 5 to o, which gives o = y + 34.\n3. Substitute y = j + 15 to o, which gives o = j + 49.\n4. Substitute j = q + 7 to o, which gives o = q + 56.\n5. Substitute q = r + 14 to o, which gives o = r + 70.\n6. Substitute r = 5 to o, which gives o = 75.\n\nThus, the final answer is o = \\boxed{75}.",
"index": 23893,
"question": "Suppose a collection of variables is related by the following definitions: o = a + 15; x = h + 13; j = q + 7; a = z + 14; b = i + 9; r = 5; y = j + 15; k = x + 19; l = r + 15; i = k + 8; z = y + 5; q = r + 14; h = l + 15. Given that r = 5, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"p": "r + 2", "u": "p + 10", "l": "u + 1", "f": "l + 6", "g": "f + 2", "i": "g + 16", "d": "r + 8", "o": "d + 2", "c": "o + 5", "s": "c + 17", "t": "s + 3", "j": "t + 10", "r": 11}, "premises": {"r": 11}, "target": "i"}, "answer": {"steps": [["g", "f + 2", "f + 18"], ["f", "l + 6", "l + 24"], ["l", "u + 1", "u + 25"], ["u", "p + 10", "p + 35"], ["p", "r + 2", "r + 37"], ["r", 11, "48"]], "target_var_name": "i", "target_value": 48, "value_dict": {"r": 11}, "is_reverse": true}}
| 23,894
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = r + 2; f = l + 6; l = u + 1; c = o + 5; g = f + 2; i = g + 16; u = p + 10; j = t + 10; t = s + 3; o = d + 2; d = r + 8; s = c + 17; r = 11. If r = 11, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 2 to i, which gives i = f + 18.\n2. Substitute f = l + 6 to i, which gives i = l + 24.\n3. Substitute l = u + 1 to i, which gives i = u + 25.\n4. Substitute u = p + 10 to i, which gives i = p + 35.\n5. Substitute p = r + 2 to i, which gives i = r + 37.\n6. Substitute r = 11 to i, which gives i = 48.\n\nThus, the final answer is i = \\boxed{48}.",
"index": 23894,
"question": "Consider a system of variables where each variable is defined as follows: p = r + 2; f = l + 6; l = u + 1; c = o + 5; g = f + 2; i = g + 16; u = p + 10; j = t + 10; t = s + 3; o = d + 2; d = r + 8; s = c + 17; r = 11. If r = 11, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"z": "e + 6", "j": "z + 13", "b": "j + 16", "r": "b + 9", "a": "r + 11", "h": "a + 14", "q": "e + 8", "w": "q + 11", "m": "w + 2", "n": "m + 15", "k": "n + 16", "l": "k + 18", "e": 17}, "premises": {"e": 17}, "target": "h"}, "answer": {"steps": [["a", "r + 11", "r + 25"], ["r", "b + 9", "b + 34"], ["b", "j + 16", "j + 50"], ["j", "z + 13", "z + 63"], ["z", "e + 6", "e + 69"], ["e", 17, "86"]], "target_var_name": "h", "target_value": 86, "value_dict": {"e": 17}, "is_reverse": true}}
| 23,895
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = k + 18; a = r + 11; r = b + 9; h = a + 14; b = j + 16; q = e + 8; w = q + 11; e = 17; k = n + 16; j = z + 13; m = w + 2; n = m + 15; z = e + 6. If e = 17, 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 a = r + 11 to h, which gives h = r + 25.\n2. Substitute r = b + 9 to h, which gives h = b + 34.\n3. Substitute b = j + 16 to h, which gives h = j + 50.\n4. Substitute j = z + 13 to h, which gives h = z + 63.\n5. Substitute z = e + 6 to h, which gives h = e + 69.\n6. Substitute e = 17 to h, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 23895,
"question": "Consider a system of variables where each variable is defined as follows: l = k + 18; a = r + 11; r = b + 9; h = a + 14; b = j + 16; q = e + 8; w = q + 11; e = 17; k = n + 16; j = z + 13; m = w + 2; n = m + 15; z = e + 6. If e = 17, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"b": "q + 20", "o": "b + 18", "k": "o + 5", "g": "k + 12", "n": "g + 18", "y": "n + 8", "l": "q + 3", "a": "l + 12", "u": "a + 10", "m": "u + 15", "c": "m + 10", "w": "c + 13", "q": 2}, "premises": {"q": 2}, "target": "y"}, "answer": {"steps": [["n", "g + 18", "g + 26"], ["g", "k + 12", "k + 38"], ["k", "o + 5", "o + 43"], ["o", "b + 18", "b + 61"], ["b", "q + 20", "q + 81"], ["q", 2, "83"]], "target_var_name": "y", "target_value": 83, "value_dict": {"q": 2}, "is_reverse": true}}
| 23,896
| 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 = m + 10; a = l + 12; k = o + 5; u = a + 10; w = c + 13; b = q + 20; o = b + 18; m = u + 15; q = 2; y = n + 8; n = g + 18; l = q + 3; g = k + 12. If q = 2, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 18 to y, which gives y = g + 26.\n2. Substitute g = k + 12 to y, which gives y = k + 38.\n3. Substitute k = o + 5 to y, which gives y = o + 43.\n4. Substitute o = b + 18 to y, which gives y = b + 61.\n5. Substitute b = q + 20 to y, which gives y = q + 81.\n6. Substitute q = 2 to y, which gives y = 83.\n\nThus, the final answer is y = \\boxed{83}.",
"index": 23896,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = m + 10; a = l + 12; k = o + 5; u = a + 10; w = c + 13; b = q + 20; o = b + 18; m = u + 15; q = 2; y = n + 8; n = g + 18; l = q + 3; g = k + 12. If q = 2, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"i": "z + 17", "c": "i + 20", "n": "c + 2", "s": "n + 11", "m": "s + 7", "h": "m + 2", "e": "z + 20", "g": "e + 19", "v": "g + 20", "w": "v + 16", "u": "w + 4", "x": "u + 11", "z": 15}, "premises": {"z": 15}, "target": "h"}, "answer": {"steps": [["m", "s + 7", "s + 9"], ["s", "n + 11", "n + 20"], ["n", "c + 2", "c + 22"], ["c", "i + 20", "i + 42"], ["i", "z + 17", "z + 59"], ["z", 15, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"z": 15}, "is_reverse": true}}
| 23,897
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = 15; c = i + 20; m = s + 7; i = z + 17; s = n + 11; g = e + 19; h = m + 2; e = z + 20; u = w + 4; x = u + 11; v = g + 20; n = c + 2; w = v + 16. Given that z = 15, find the 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 m = s + 7 to h, which gives h = s + 9.\n2. Substitute s = n + 11 to h, which gives h = n + 20.\n3. Substitute n = c + 2 to h, which gives h = c + 22.\n4. Substitute c = i + 20 to h, which gives h = i + 42.\n5. Substitute i = z + 17 to h, which gives h = z + 59.\n6. Substitute z = 15 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 23897,
"question": "Suppose a collection of variables is related by the following definitions: z = 15; c = i + 20; m = s + 7; i = z + 17; s = n + 11; g = e + 19; h = m + 2; e = z + 20; u = w + 4; x = u + 11; v = g + 20; n = c + 2; w = v + 16. Given that z = 15, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"u": "r + 16", "f": "u + 7", "d": "f + 8", "k": "d + 6", "y": "k + 5", "b": "y + 8", "t": "r + 16", "j": "t + 18", "c": "j + 13", "p": "c + 14", "h": "p + 5", "i": "h + 9", "r": 14}, "premises": {"r": 14}, "target": "b"}, "answer": {"steps": [["y", "k + 5", "k + 13"], ["k", "d + 6", "d + 19"], ["d", "f + 8", "f + 27"], ["f", "u + 7", "u + 34"], ["u", "r + 16", "r + 50"], ["r", 14, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"r": 14}, "is_reverse": true}}
| 23,898
| 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 = u + 7; t = r + 16; i = h + 9; u = r + 16; j = t + 18; k = d + 6; r = 14; p = c + 14; y = k + 5; d = f + 8; b = y + 8; c = j + 13; h = p + 5. If r = 14, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 5 to b, which gives b = k + 13.\n2. Substitute k = d + 6 to b, which gives b = d + 19.\n3. Substitute d = f + 8 to b, which gives b = f + 27.\n4. Substitute f = u + 7 to b, which gives b = u + 34.\n5. Substitute u = r + 16 to b, which gives b = r + 50.\n6. Substitute r = 14 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 23898,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = u + 7; t = r + 16; i = h + 9; u = r + 16; j = t + 18; k = d + 6; r = 14; p = c + 14; y = k + 5; d = f + 8; b = y + 8; c = j + 13; h = p + 5. If r = 14, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"m": "t + 5", "l": "m + 14", "o": "l + 8", "j": "o + 14", "i": "j + 17", "k": "i + 5", "a": "t + 11", "w": "a + 8", "f": "w + 13", "d": "f + 12", "y": "d + 2", "q": "y + 8", "t": 18}, "premises": {"t": 18}, "target": "k"}, "answer": {"steps": [["i", "j + 17", "j + 22"], ["j", "o + 14", "o + 36"], ["o", "l + 8", "l + 44"], ["l", "m + 14", "m + 58"], ["m", "t + 5", "t + 63"], ["t", 18, "81"]], "target_var_name": "k", "target_value": 81, "value_dict": {"t": 18}, "is_reverse": true}}
| 23,899
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = t + 5; t = 18; d = f + 12; a = t + 11; f = w + 13; o = l + 8; k = i + 5; l = m + 14; y = d + 2; q = y + 8; j = o + 14; i = j + 17; w = a + 8. If t = 18, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 17 to k, which gives k = j + 22.\n2. Substitute j = o + 14 to k, which gives k = o + 36.\n3. Substitute o = l + 8 to k, which gives k = l + 44.\n4. Substitute l = m + 14 to k, which gives k = m + 58.\n5. Substitute m = t + 5 to k, which gives k = t + 63.\n6. Substitute t = 18 to k, which gives k = 81.\n\nThus, the final answer is k = \\boxed{81}.",
"index": 23899,
"question": "Consider a system of variables where each variable is defined as follows: m = t + 5; t = 18; d = f + 12; a = t + 11; f = w + 13; o = l + 8; k = i + 5; l = m + 14; y = d + 2; q = y + 8; j = o + 14; i = j + 17; w = a + 8. If t = 18, determine the value of k.",
"split": "train"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.