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": {"q": "d + 11", "o": "q + 11", "v": "o + 19", "s": "v + 14", "l": "s + 13", "e": "l + 3", "m": "d + 8", "i": "m + 11", "n": "i + 14", "g": "n + 11", "h": "g + 17", "u": "h + 7", "d": 13}, "premises": {"d": 13}, "target": "e"}, "answer": {"steps": [["l", "s + 13", "s + 16"], ["s", "v + 14", "v + 30"], ["v", "o + 19", "o + 49"], ["o", "q + 11", "q + 60"], ["q", "d + 11", "d + 71"], ["d", 13, "84"]], "target_var_name": "e", "target_value": 84, "value_dict": {"d": 13}, "is_reverse": true}}
| 23,600
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = v + 14; n = i + 14; h = g + 17; v = o + 19; l = s + 13; u = h + 7; e = l + 3; o = q + 11; g = n + 11; d = 13; m = d + 8; i = m + 11; q = d + 11. Given that d = 13, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 13 to e, which gives e = s + 16.\n2. Substitute s = v + 14 to e, which gives e = v + 30.\n3. Substitute v = o + 19 to e, which gives e = o + 49.\n4. Substitute o = q + 11 to e, which gives e = q + 60.\n5. Substitute q = d + 11 to e, which gives e = d + 71.\n6. Substitute d = 13 to e, which gives e = 84.\n\nThus, the final answer is e = \\boxed{84}.",
"index": 23600,
"question": "Suppose a collection of variables is related by the following definitions: s = v + 14; n = i + 14; h = g + 17; v = o + 19; l = s + 13; u = h + 7; e = l + 3; o = q + 11; g = n + 11; d = 13; m = d + 8; i = m + 11; q = d + 11. Given that d = 13, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"u": "v + 17", "l": "u + 11", "a": "l + 11", "x": "a + 8", "n": "x + 4", "d": "n + 14", "o": "v + 3", "m": "o + 15", "q": "m + 14", "f": "q + 11", "r": "f + 19", "i": "r + 6", "v": 14}, "premises": {"v": 14}, "target": "d"}, "answer": {"steps": [["n", "x + 4", "x + 18"], ["x", "a + 8", "a + 26"], ["a", "l + 11", "l + 37"], ["l", "u + 11", "u + 48"], ["u", "v + 17", "v + 65"], ["v", 14, "79"]], "target_var_name": "d", "target_value": 79, "value_dict": {"v": 14}, "is_reverse": true}}
| 23,601
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = u + 11; a = l + 11; v = 14; q = m + 14; u = v + 17; o = v + 3; d = n + 14; x = a + 8; m = o + 15; r = f + 19; n = x + 4; f = q + 11; i = r + 6. If v = 14, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 4 to d, which gives d = x + 18.\n2. Substitute x = a + 8 to d, which gives d = a + 26.\n3. Substitute a = l + 11 to d, which gives d = l + 37.\n4. Substitute l = u + 11 to d, which gives d = u + 48.\n5. Substitute u = v + 17 to d, which gives d = v + 65.\n6. Substitute v = 14 to d, which gives d = 79.\n\nThus, the final answer is d = \\boxed{79}.",
"index": 23601,
"question": "Consider a system of variables where each variable is defined as follows: l = u + 11; a = l + 11; v = 14; q = m + 14; u = v + 17; o = v + 3; d = n + 14; x = a + 8; m = o + 15; r = f + 19; n = x + 4; f = q + 11; i = r + 6. If v = 14, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"m": "n + 15", "o": "m + 10", "i": "o + 17", "u": "i + 15", "p": "u + 11", "a": "p + 20", "q": "n + 2", "g": "q + 19", "k": "g + 14", "b": "k + 8", "e": "b + 3", "w": "e + 5", "n": 5}, "premises": {"n": 5}, "target": "a"}, "answer": {"steps": [["p", "u + 11", "u + 31"], ["u", "i + 15", "i + 46"], ["i", "o + 17", "o + 63"], ["o", "m + 10", "m + 73"], ["m", "n + 15", "n + 88"], ["n", 5, "93"]], "target_var_name": "a", "target_value": 93, "value_dict": {"n": 5}, "is_reverse": true}}
| 23,602
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = q + 19; u = i + 15; b = k + 8; p = u + 11; o = m + 10; i = o + 17; q = n + 2; e = b + 3; k = g + 14; n = 5; m = n + 15; w = e + 5; a = p + 20. If n = 5, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 11 to a, which gives a = u + 31.\n2. Substitute u = i + 15 to a, which gives a = i + 46.\n3. Substitute i = o + 17 to a, which gives a = o + 63.\n4. Substitute o = m + 10 to a, which gives a = m + 73.\n5. Substitute m = n + 15 to a, which gives a = n + 88.\n6. Substitute n = 5 to a, which gives a = 93.\n\nThus, the final answer is a = \\boxed{93}.",
"index": 23602,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = q + 19; u = i + 15; b = k + 8; p = u + 11; o = m + 10; i = o + 17; q = n + 2; e = b + 3; k = g + 14; n = 5; m = n + 15; w = e + 5; a = p + 20. If n = 5, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"r": "c + 3", "j": "r + 15", "o": "j + 19", "k": "o + 16", "f": "k + 9", "e": "f + 10", "v": "c + 19", "n": "v + 15", "i": "n + 8", "g": "i + 17", "d": "g + 12", "p": "d + 11", "c": 10}, "premises": {"c": 10}, "target": "e"}, "answer": {"steps": [["f", "k + 9", "k + 19"], ["k", "o + 16", "o + 35"], ["o", "j + 19", "j + 54"], ["j", "r + 15", "r + 69"], ["r", "c + 3", "c + 72"], ["c", 10, "82"]], "target_var_name": "e", "target_value": 82, "value_dict": {"c": 10}, "is_reverse": true}}
| 23,603
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 15; f = k + 9; i = n + 8; r = c + 3; e = f + 10; d = g + 12; n = v + 15; p = d + 11; v = c + 19; o = j + 19; k = o + 16; c = 10; g = i + 17. If c = 10, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 9 to e, which gives e = k + 19.\n2. Substitute k = o + 16 to e, which gives e = o + 35.\n3. Substitute o = j + 19 to e, which gives e = j + 54.\n4. Substitute j = r + 15 to e, which gives e = r + 69.\n5. Substitute r = c + 3 to e, which gives e = c + 72.\n6. Substitute c = 10 to e, which gives e = 82.\n\nThus, the final answer is e = \\boxed{82}.",
"index": 23603,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 15; f = k + 9; i = n + 8; r = c + 3; e = f + 10; d = g + 12; n = v + 15; p = d + 11; v = c + 19; o = j + 19; k = o + 16; c = 10; g = i + 17. If c = 10, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"a": "n + 4", "s": "a + 1", "e": "s + 8", "x": "e + 16", "i": "x + 20", "l": "i + 7", "q": "n + 16", "z": "q + 14", "r": "z + 8", "o": "r + 15", "u": "o + 15", "w": "u + 8", "n": 1}, "premises": {"n": 1}, "target": "l"}, "answer": {"steps": [["i", "x + 20", "x + 27"], ["x", "e + 16", "e + 43"], ["e", "s + 8", "s + 51"], ["s", "a + 1", "a + 52"], ["a", "n + 4", "n + 56"], ["n", 1, "57"]], "target_var_name": "l", "target_value": 57, "value_dict": {"n": 1}, "is_reverse": true}}
| 23,604
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 15; o = r + 15; q = n + 16; l = i + 7; a = n + 4; n = 1; s = a + 1; e = s + 8; i = x + 20; w = u + 8; z = q + 14; x = e + 16; r = z + 8. If n = 1, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 20 to l, which gives l = x + 27.\n2. Substitute x = e + 16 to l, which gives l = e + 43.\n3. Substitute e = s + 8 to l, which gives l = s + 51.\n4. Substitute s = a + 1 to l, which gives l = a + 52.\n5. Substitute a = n + 4 to l, which gives l = n + 56.\n6. Substitute n = 1 to l, which gives l = 57.\n\nThus, the final answer is l = \\boxed{57}.",
"index": 23604,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 15; o = r + 15; q = n + 16; l = i + 7; a = n + 4; n = 1; s = a + 1; e = s + 8; i = x + 20; w = u + 8; z = q + 14; x = e + 16; r = z + 8. If n = 1, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"l": "u + 9", "m": "l + 5", "g": "m + 19", "k": "g + 14", "i": "k + 2", "v": "i + 10", "c": "u + 15", "z": "c + 15", "y": "z + 7", "f": "y + 11", "r": "f + 10", "e": "r + 20", "u": 15}, "premises": {"u": 15}, "target": "v"}, "answer": {"steps": [["i", "k + 2", "k + 12"], ["k", "g + 14", "g + 26"], ["g", "m + 19", "m + 45"], ["m", "l + 5", "l + 50"], ["l", "u + 9", "u + 59"], ["u", 15, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"u": 15}, "is_reverse": true}}
| 23,605
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = r + 20; v = i + 10; y = z + 7; u = 15; k = g + 14; c = u + 15; l = u + 9; r = f + 10; i = k + 2; g = m + 19; z = c + 15; m = l + 5; f = y + 11. If u = 15, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 2 to v, which gives v = k + 12.\n2. Substitute k = g + 14 to v, which gives v = g + 26.\n3. Substitute g = m + 19 to v, which gives v = m + 45.\n4. Substitute m = l + 5 to v, which gives v = l + 50.\n5. Substitute l = u + 9 to v, which gives v = u + 59.\n6. Substitute u = 15 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 23605,
"question": "Consider a system of variables where each variable is defined as follows: e = r + 20; v = i + 10; y = z + 7; u = 15; k = g + 14; c = u + 15; l = u + 9; r = f + 10; i = k + 2; g = m + 19; z = c + 15; m = l + 5; f = y + 11. If u = 15, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"h": "j + 12", "u": "h + 8", "o": "u + 12", "l": "o + 3", "r": "l + 10", "t": "r + 11", "f": "j + 6", "a": "f + 6", "c": "a + 19", "k": "c + 1", "q": "k + 11", "w": "q + 8", "j": 11}, "premises": {"j": 11}, "target": "t"}, "answer": {"steps": [["r", "l + 10", "l + 21"], ["l", "o + 3", "o + 24"], ["o", "u + 12", "u + 36"], ["u", "h + 8", "h + 44"], ["h", "j + 12", "j + 56"], ["j", 11, "67"]], "target_var_name": "t", "target_value": 67, "value_dict": {"j": 11}, "is_reverse": true}}
| 23,606
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = o + 3; q = k + 11; c = a + 19; j = 11; t = r + 11; w = q + 8; r = l + 10; u = h + 8; k = c + 1; a = f + 6; o = u + 12; f = j + 6; h = j + 12. If j = 11, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 10 to t, which gives t = l + 21.\n2. Substitute l = o + 3 to t, which gives t = o + 24.\n3. Substitute o = u + 12 to t, which gives t = u + 36.\n4. Substitute u = h + 8 to t, which gives t = h + 44.\n5. Substitute h = j + 12 to t, which gives t = j + 56.\n6. Substitute j = 11 to t, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 23606,
"question": "Consider a system of variables where each variable is defined as follows: l = o + 3; q = k + 11; c = a + 19; j = 11; t = r + 11; w = q + 8; r = l + 10; u = h + 8; k = c + 1; a = f + 6; o = u + 12; f = j + 6; h = j + 12. If j = 11, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"o": "g + 14", "k": "o + 1", "y": "k + 19", "u": "y + 7", "x": "u + 11", "z": "x + 16", "d": "g + 7", "n": "d + 2", "c": "n + 1", "l": "c + 10", "a": "l + 20", "w": "a + 4", "g": 4}, "premises": {"g": 4}, "target": "z"}, "answer": {"steps": [["x", "u + 11", "u + 27"], ["u", "y + 7", "y + 34"], ["y", "k + 19", "k + 53"], ["k", "o + 1", "o + 54"], ["o", "g + 14", "g + 68"], ["g", 4, "72"]], "target_var_name": "z", "target_value": 72, "value_dict": {"g": 4}, "is_reverse": true}}
| 23,607
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = g + 14; d = g + 7; a = l + 20; l = c + 10; w = a + 4; c = n + 1; z = x + 16; x = u + 11; u = y + 7; n = d + 2; g = 4; k = o + 1; y = k + 19. If g = 4, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 11 to z, which gives z = u + 27.\n2. Substitute u = y + 7 to z, which gives z = y + 34.\n3. Substitute y = k + 19 to z, which gives z = k + 53.\n4. Substitute k = o + 1 to z, which gives z = o + 54.\n5. Substitute o = g + 14 to z, which gives z = g + 68.\n6. Substitute g = 4 to z, which gives z = 72.\n\nThus, the final answer is z = \\boxed{72}.",
"index": 23607,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = g + 14; d = g + 7; a = l + 20; l = c + 10; w = a + 4; c = n + 1; z = x + 16; x = u + 11; u = y + 7; n = d + 2; g = 4; k = o + 1; y = k + 19. If g = 4, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"l": "d + 15", "z": "l + 6", "w": "z + 18", "v": "w + 10", "e": "v + 18", "s": "e + 8", "p": "d + 18", "j": "p + 14", "o": "j + 7", "a": "o + 20", "b": "a + 14", "x": "b + 9", "d": 13}, "premises": {"d": 13}, "target": "s"}, "answer": {"steps": [["e", "v + 18", "v + 26"], ["v", "w + 10", "w + 36"], ["w", "z + 18", "z + 54"], ["z", "l + 6", "l + 60"], ["l", "d + 15", "d + 75"], ["d", 13, "88"]], "target_var_name": "s", "target_value": 88, "value_dict": {"d": 13}, "is_reverse": true}}
| 23,608
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = p + 14; d = 13; e = v + 18; l = d + 15; o = j + 7; p = d + 18; w = z + 18; a = o + 20; v = w + 10; z = l + 6; x = b + 9; s = e + 8; b = a + 14. If d = 13, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 18 to s, which gives s = v + 26.\n2. Substitute v = w + 10 to s, which gives s = w + 36.\n3. Substitute w = z + 18 to s, which gives s = z + 54.\n4. Substitute z = l + 6 to s, which gives s = l + 60.\n5. Substitute l = d + 15 to s, which gives s = d + 75.\n6. Substitute d = 13 to s, which gives s = 88.\n\nThus, the final answer is s = \\boxed{88}.",
"index": 23608,
"question": "Consider a system of variables where each variable is defined as follows: j = p + 14; d = 13; e = v + 18; l = d + 15; o = j + 7; p = d + 18; w = z + 18; a = o + 20; v = w + 10; z = l + 6; x = b + 9; s = e + 8; b = a + 14. If d = 13, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"e": "v + 12", "r": "e + 3", "p": "r + 17", "w": "p + 6", "t": "w + 1", "b": "t + 14", "q": "v + 9", "o": "q + 10", "s": "o + 15", "d": "s + 15", "k": "d + 19", "x": "k + 9", "v": 20}, "premises": {"v": 20}, "target": "b"}, "answer": {"steps": [["t", "w + 1", "w + 15"], ["w", "p + 6", "p + 21"], ["p", "r + 17", "r + 38"], ["r", "e + 3", "e + 41"], ["e", "v + 12", "v + 53"], ["v", 20, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"v": 20}, "is_reverse": true}}
| 23,609
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = d + 19; p = r + 17; s = o + 15; w = p + 6; q = v + 9; x = k + 9; b = t + 14; v = 20; r = e + 3; t = w + 1; d = s + 15; e = v + 12; o = q + 10. If v = 20, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 1 to b, which gives b = w + 15.\n2. Substitute w = p + 6 to b, which gives b = p + 21.\n3. Substitute p = r + 17 to b, which gives b = r + 38.\n4. Substitute r = e + 3 to b, which gives b = e + 41.\n5. Substitute e = v + 12 to b, which gives b = v + 53.\n6. Substitute v = 20 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 23609,
"question": "Consider a system of variables where each variable is defined as follows: k = d + 19; p = r + 17; s = o + 15; w = p + 6; q = v + 9; x = k + 9; b = t + 14; v = 20; r = e + 3; t = w + 1; d = s + 15; e = v + 12; o = q + 10. If v = 20, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"p": "f + 12", "s": "p + 15", "c": "s + 6", "b": "c + 14", "v": "b + 10", "w": "v + 5", "u": "f + 10", "h": "u + 10", "e": "h + 9", "m": "e + 5", "n": "m + 18", "j": "n + 2", "f": 14}, "premises": {"f": 14}, "target": "w"}, "answer": {"steps": [["v", "b + 10", "b + 15"], ["b", "c + 14", "c + 29"], ["c", "s + 6", "s + 35"], ["s", "p + 15", "p + 50"], ["p", "f + 12", "f + 62"], ["f", 14, "76"]], "target_var_name": "w", "target_value": 76, "value_dict": {"f": 14}, "is_reverse": true}}
| 23,610
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 2; f = 14; s = p + 15; v = b + 10; u = f + 10; c = s + 6; w = v + 5; e = h + 9; n = m + 18; b = c + 14; p = f + 12; m = e + 5; h = u + 10. If f = 14, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 10 to w, which gives w = b + 15.\n2. Substitute b = c + 14 to w, which gives w = c + 29.\n3. Substitute c = s + 6 to w, which gives w = s + 35.\n4. Substitute s = p + 15 to w, which gives w = p + 50.\n5. Substitute p = f + 12 to w, which gives w = f + 62.\n6. Substitute f = 14 to w, which gives w = 76.\n\nThus, the final answer is w = \\boxed{76}.",
"index": 23610,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 2; f = 14; s = p + 15; v = b + 10; u = f + 10; c = s + 6; w = v + 5; e = h + 9; n = m + 18; b = c + 14; p = f + 12; m = e + 5; h = u + 10. If f = 14, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"y": "i + 7", "o": "y + 9", "t": "o + 19", "u": "t + 9", "q": "u + 6", "s": "q + 20", "m": "i + 15", "h": "m + 2", "c": "h + 18", "g": "c + 1", "n": "g + 15", "a": "n + 15", "i": 8}, "premises": {"i": 8}, "target": "s"}, "answer": {"steps": [["q", "u + 6", "u + 26"], ["u", "t + 9", "t + 35"], ["t", "o + 19", "o + 54"], ["o", "y + 9", "y + 63"], ["y", "i + 7", "i + 70"], ["i", 8, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"i": 8}, "is_reverse": true}}
| 23,611
| 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 = i + 7; h = m + 2; g = c + 1; i = 8; s = q + 20; o = y + 9; q = u + 6; a = n + 15; u = t + 9; n = g + 15; m = i + 15; c = h + 18; t = o + 19. If i = 8, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 6 to s, which gives s = u + 26.\n2. Substitute u = t + 9 to s, which gives s = t + 35.\n3. Substitute t = o + 19 to s, which gives s = o + 54.\n4. Substitute o = y + 9 to s, which gives s = y + 63.\n5. Substitute y = i + 7 to s, which gives s = i + 70.\n6. Substitute i = 8 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 23611,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = i + 7; h = m + 2; g = c + 1; i = 8; s = q + 20; o = y + 9; q = u + 6; a = n + 15; u = t + 9; n = g + 15; m = i + 15; c = h + 18; t = o + 19. If i = 8, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"u": "g + 3", "z": "u + 2", "p": "z + 7", "w": "p + 17", "d": "w + 1", "o": "d + 14", "v": "g + 7", "y": "v + 11", "c": "y + 12", "b": "c + 19", "x": "b + 15", "j": "x + 8", "g": 19}, "premises": {"g": 19}, "target": "o"}, "answer": {"steps": [["d", "w + 1", "w + 15"], ["w", "p + 17", "p + 32"], ["p", "z + 7", "z + 39"], ["z", "u + 2", "u + 41"], ["u", "g + 3", "g + 44"], ["g", 19, "63"]], "target_var_name": "o", "target_value": 63, "value_dict": {"g": 19}, "is_reverse": true}}
| 23,612
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = c + 19; v = g + 7; d = w + 1; g = 19; j = x + 8; x = b + 15; p = z + 7; c = y + 12; z = u + 2; w = p + 17; y = v + 11; u = g + 3; o = d + 14. If g = 19, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 1 to o, which gives o = w + 15.\n2. Substitute w = p + 17 to o, which gives o = p + 32.\n3. Substitute p = z + 7 to o, which gives o = z + 39.\n4. Substitute z = u + 2 to o, which gives o = u + 41.\n5. Substitute u = g + 3 to o, which gives o = g + 44.\n6. Substitute g = 19 to o, which gives o = 63.\n\nThus, the final answer is o = \\boxed{63}.",
"index": 23612,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = c + 19; v = g + 7; d = w + 1; g = 19; j = x + 8; x = b + 15; p = z + 7; c = y + 12; z = u + 2; w = p + 17; y = v + 11; u = g + 3; o = d + 14. If g = 19, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 14", "k": "i + 1", "e": "k + 8", "f": "e + 6", "s": "f + 14", "p": "s + 5", "c": "a + 18", "h": "c + 15", "j": "h + 20", "v": "j + 20", "y": "v + 1", "x": "y + 10", "a": 8}, "premises": {"a": 8}, "target": "p"}, "answer": {"steps": [["s", "f + 14", "f + 19"], ["f", "e + 6", "e + 25"], ["e", "k + 8", "k + 33"], ["k", "i + 1", "i + 34"], ["i", "a + 14", "a + 48"], ["a", 8, "56"]], "target_var_name": "p", "target_value": 56, "value_dict": {"a": 8}, "is_reverse": true}}
| 23,613
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = f + 14; i = a + 14; p = s + 5; k = i + 1; j = h + 20; x = y + 10; v = j + 20; c = a + 18; a = 8; e = k + 8; f = e + 6; y = v + 1; h = c + 15. If a = 8, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 14 to p, which gives p = f + 19.\n2. Substitute f = e + 6 to p, which gives p = e + 25.\n3. Substitute e = k + 8 to p, which gives p = k + 33.\n4. Substitute k = i + 1 to p, which gives p = i + 34.\n5. Substitute i = a + 14 to p, which gives p = a + 48.\n6. Substitute a = 8 to p, which gives p = 56.\n\nThus, the final answer is p = \\boxed{56}.",
"index": 23613,
"question": "Consider a system of variables where each variable is defined as follows: s = f + 14; i = a + 14; p = s + 5; k = i + 1; j = h + 20; x = y + 10; v = j + 20; c = a + 18; a = 8; e = k + 8; f = e + 6; y = v + 1; h = c + 15. If a = 8, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"b": "i + 8", "q": "b + 8", "s": "q + 16", "g": "s + 5", "c": "g + 12", "e": "c + 16", "a": "i + 14", "l": "a + 9", "o": "l + 18", "d": "o + 14", "h": "d + 16", "v": "h + 13", "i": 10}, "premises": {"i": 10}, "target": "e"}, "answer": {"steps": [["c", "g + 12", "g + 28"], ["g", "s + 5", "s + 33"], ["s", "q + 16", "q + 49"], ["q", "b + 8", "b + 57"], ["b", "i + 8", "i + 65"], ["i", 10, "75"]], "target_var_name": "e", "target_value": 75, "value_dict": {"i": 10}, "is_reverse": true}}
| 23,614
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = q + 16; g = s + 5; a = i + 14; i = 10; v = h + 13; h = d + 16; b = i + 8; d = o + 14; o = l + 18; e = c + 16; q = b + 8; c = g + 12; l = a + 9. If i = 10, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 12 to e, which gives e = g + 28.\n2. Substitute g = s + 5 to e, which gives e = s + 33.\n3. Substitute s = q + 16 to e, which gives e = q + 49.\n4. Substitute q = b + 8 to e, which gives e = b + 57.\n5. Substitute b = i + 8 to e, which gives e = i + 65.\n6. Substitute i = 10 to e, which gives e = 75.\n\nThus, the final answer is e = \\boxed{75}.",
"index": 23614,
"question": "Consider a system of variables where each variable is defined as follows: s = q + 16; g = s + 5; a = i + 14; i = 10; v = h + 13; h = d + 16; b = i + 8; d = o + 14; o = l + 18; e = c + 16; q = b + 8; c = g + 12; l = a + 9. If i = 10, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"p": "f + 11", "u": "p + 6", "r": "u + 4", "l": "r + 11", "k": "l + 15", "j": "k + 7", "t": "f + 6", "e": "t + 13", "n": "e + 12", "i": "n + 6", "d": "i + 11", "z": "d + 16", "f": 12}, "premises": {"f": 12}, "target": "j"}, "answer": {"steps": [["k", "l + 15", "l + 22"], ["l", "r + 11", "r + 33"], ["r", "u + 4", "u + 37"], ["u", "p + 6", "p + 43"], ["p", "f + 11", "f + 54"], ["f", 12, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"f": 12}, "is_reverse": true}}
| 23,615
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = u + 4; t = f + 6; j = k + 7; z = d + 16; i = n + 6; p = f + 11; e = t + 13; u = p + 6; n = e + 12; k = l + 15; f = 12; l = r + 11; d = i + 11. Given that f = 12, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 15 to j, which gives j = l + 22.\n2. Substitute l = r + 11 to j, which gives j = r + 33.\n3. Substitute r = u + 4 to j, which gives j = u + 37.\n4. Substitute u = p + 6 to j, which gives j = p + 43.\n5. Substitute p = f + 11 to j, which gives j = f + 54.\n6. Substitute f = 12 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 23615,
"question": "Suppose a collection of variables is related by the following definitions: r = u + 4; t = f + 6; j = k + 7; z = d + 16; i = n + 6; p = f + 11; e = t + 13; u = p + 6; n = e + 12; k = l + 15; f = 12; l = r + 11; d = i + 11. Given that f = 12, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"d": "m + 15", "j": "d + 11", "z": "j + 20", "n": "z + 11", "a": "n + 19", "e": "a + 15", "b": "m + 6", "v": "b + 4", "l": "v + 2", "x": "l + 14", "y": "x + 14", "i": "y + 18", "m": 10}, "premises": {"m": 10}, "target": "e"}, "answer": {"steps": [["a", "n + 19", "n + 34"], ["n", "z + 11", "z + 45"], ["z", "j + 20", "j + 65"], ["j", "d + 11", "d + 76"], ["d", "m + 15", "m + 91"], ["m", 10, "101"]], "target_var_name": "e", "target_value": 101, "value_dict": {"m": 10}, "is_reverse": true}}
| 23,616
| 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 = z + 11; v = b + 4; y = x + 14; d = m + 15; x = l + 14; j = d + 11; z = j + 20; i = y + 18; b = m + 6; e = a + 15; a = n + 19; l = v + 2; m = 10. If m = 10, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 19 to e, which gives e = n + 34.\n2. Substitute n = z + 11 to e, which gives e = z + 45.\n3. Substitute z = j + 20 to e, which gives e = j + 65.\n4. Substitute j = d + 11 to e, which gives e = d + 76.\n5. Substitute d = m + 15 to e, which gives e = m + 91.\n6. Substitute m = 10 to e, which gives e = 101.\n\nThus, the final answer is e = \\boxed{101}.",
"index": 23616,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 11; v = b + 4; y = x + 14; d = m + 15; x = l + 14; j = d + 11; z = j + 20; i = y + 18; b = m + 6; e = a + 15; a = n + 19; l = v + 2; m = 10. If m = 10, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"b": "a + 16", "k": "b + 12", "q": "k + 14", "h": "q + 2", "j": "h + 12", "z": "j + 7", "w": "a + 13", "m": "w + 12", "d": "m + 19", "t": "d + 14", "u": "t + 12", "x": "u + 7", "a": 2}, "premises": {"a": 2}, "target": "z"}, "answer": {"steps": [["j", "h + 12", "h + 19"], ["h", "q + 2", "q + 21"], ["q", "k + 14", "k + 35"], ["k", "b + 12", "b + 47"], ["b", "a + 16", "a + 63"], ["a", 2, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"a": 2}, "is_reverse": true}}
| 23,617
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = k + 14; k = b + 12; z = j + 7; w = a + 13; j = h + 12; u = t + 12; h = q + 2; t = d + 14; m = w + 12; x = u + 7; d = m + 19; b = a + 16; a = 2. If a = 2, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 12 to z, which gives z = h + 19.\n2. Substitute h = q + 2 to z, which gives z = q + 21.\n3. Substitute q = k + 14 to z, which gives z = k + 35.\n4. Substitute k = b + 12 to z, which gives z = b + 47.\n5. Substitute b = a + 16 to z, which gives z = a + 63.\n6. Substitute a = 2 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 23617,
"question": "Consider a system of variables where each variable is defined as follows: q = k + 14; k = b + 12; z = j + 7; w = a + 13; j = h + 12; u = t + 12; h = q + 2; t = d + 14; m = w + 12; x = u + 7; d = m + 19; b = a + 16; a = 2. If a = 2, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 14", "s": "n + 17", "e": "s + 15", "k": "e + 8", "i": "k + 18", "r": "i + 19", "t": "q + 10", "v": "t + 11", "w": "v + 7", "l": "w + 17", "c": "l + 5", "y": "c + 8", "q": 12}, "premises": {"q": 12}, "target": "r"}, "answer": {"steps": [["i", "k + 18", "k + 37"], ["k", "e + 8", "e + 45"], ["e", "s + 15", "s + 60"], ["s", "n + 17", "n + 77"], ["n", "q + 14", "q + 91"], ["q", 12, "103"]], "target_var_name": "r", "target_value": 103, "value_dict": {"q": 12}, "is_reverse": true}}
| 23,618
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = 12; i = k + 18; y = c + 8; v = t + 11; r = i + 19; l = w + 17; k = e + 8; s = n + 17; e = s + 15; n = q + 14; t = q + 10; c = l + 5; w = v + 7. Given that q = 12, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 18 to r, which gives r = k + 37.\n2. Substitute k = e + 8 to r, which gives r = e + 45.\n3. Substitute e = s + 15 to r, which gives r = s + 60.\n4. Substitute s = n + 17 to r, which gives r = n + 77.\n5. Substitute n = q + 14 to r, which gives r = q + 91.\n6. Substitute q = 12 to r, which gives r = 103.\n\nThus, the final answer is r = \\boxed{103}.",
"index": 23618,
"question": "Suppose a collection of variables is related by the following definitions: q = 12; i = k + 18; y = c + 8; v = t + 11; r = i + 19; l = w + 17; k = e + 8; s = n + 17; e = s + 15; n = q + 14; t = q + 10; c = l + 5; w = v + 7. Given that q = 12, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"h": "w + 14", "s": "h + 1", "k": "s + 16", "a": "k + 9", "i": "a + 16", "p": "i + 19", "q": "w + 11", "u": "q + 15", "o": "u + 16", "e": "o + 19", "g": "e + 19", "l": "g + 12", "w": 16}, "premises": {"w": 16}, "target": "p"}, "answer": {"steps": [["i", "a + 16", "a + 35"], ["a", "k + 9", "k + 44"], ["k", "s + 16", "s + 60"], ["s", "h + 1", "h + 61"], ["h", "w + 14", "w + 75"], ["w", 16, "91"]], "target_var_name": "p", "target_value": 91, "value_dict": {"w": 16}, "is_reverse": true}}
| 23,619
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = h + 1; e = o + 19; o = u + 16; i = a + 16; a = k + 9; w = 16; u = q + 15; l = g + 12; q = w + 11; g = e + 19; k = s + 16; p = i + 19; h = w + 14. If w = 16, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 16 to p, which gives p = a + 35.\n2. Substitute a = k + 9 to p, which gives p = k + 44.\n3. Substitute k = s + 16 to p, which gives p = s + 60.\n4. Substitute s = h + 1 to p, which gives p = h + 61.\n5. Substitute h = w + 14 to p, which gives p = w + 75.\n6. Substitute w = 16 to p, which gives p = 91.\n\nThus, the final answer is p = \\boxed{91}.",
"index": 23619,
"question": "Consider a system of variables where each variable is defined as follows: s = h + 1; e = o + 19; o = u + 16; i = a + 16; a = k + 9; w = 16; u = q + 15; l = g + 12; q = w + 11; g = e + 19; k = s + 16; p = i + 19; h = w + 14. If w = 16, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"l": "o + 6", "p": "l + 3", "f": "p + 18", "q": "f + 15", "d": "q + 15", "v": "d + 5", "u": "o + 19", "b": "u + 20", "k": "b + 19", "e": "k + 17", "m": "e + 15", "c": "m + 19", "o": 19}, "premises": {"o": 19}, "target": "v"}, "answer": {"steps": [["d", "q + 15", "q + 20"], ["q", "f + 15", "f + 35"], ["f", "p + 18", "p + 53"], ["p", "l + 3", "l + 56"], ["l", "o + 6", "o + 62"], ["o", 19, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"o": 19}, "is_reverse": true}}
| 23,620
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = q + 15; l = o + 6; c = m + 19; m = e + 15; k = b + 19; q = f + 15; f = p + 18; e = k + 17; b = u + 20; p = l + 3; o = 19; u = o + 19; v = d + 5. Given that o = 19, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 15 to v, which gives v = q + 20.\n2. Substitute q = f + 15 to v, which gives v = f + 35.\n3. Substitute f = p + 18 to v, which gives v = p + 53.\n4. Substitute p = l + 3 to v, which gives v = l + 56.\n5. Substitute l = o + 6 to v, which gives v = o + 62.\n6. Substitute o = 19 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 23620,
"question": "Suppose a collection of variables is related by the following definitions: d = q + 15; l = o + 6; c = m + 19; m = e + 15; k = b + 19; q = f + 15; f = p + 18; e = k + 17; b = u + 20; p = l + 3; o = 19; u = o + 19; v = d + 5. Given that o = 19, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"k": "o + 17", "s": "k + 13", "c": "s + 15", "z": "c + 14", "e": "z + 3", "h": "e + 5", "n": "o + 3", "g": "n + 14", "l": "g + 12", "q": "l + 12", "f": "q + 20", "y": "f + 10", "o": 2}, "premises": {"o": 2}, "target": "h"}, "answer": {"steps": [["e", "z + 3", "z + 8"], ["z", "c + 14", "c + 22"], ["c", "s + 15", "s + 37"], ["s", "k + 13", "k + 50"], ["k", "o + 17", "o + 67"], ["o", 2, "69"]], "target_var_name": "h", "target_value": 69, "value_dict": {"o": 2}, "is_reverse": true}}
| 23,621
| 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 + 3; l = g + 12; g = n + 14; k = o + 17; f = q + 20; y = f + 10; n = o + 3; z = c + 14; h = e + 5; q = l + 12; c = s + 15; s = k + 13; o = 2. If o = 2, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 3 to h, which gives h = z + 8.\n2. Substitute z = c + 14 to h, which gives h = c + 22.\n3. Substitute c = s + 15 to h, which gives h = s + 37.\n4. Substitute s = k + 13 to h, which gives h = k + 50.\n5. Substitute k = o + 17 to h, which gives h = o + 67.\n6. Substitute o = 2 to h, which gives h = 69.\n\nThus, the final answer is h = \\boxed{69}.",
"index": 23621,
"question": "Consider a system of variables where each variable is defined as follows: e = z + 3; l = g + 12; g = n + 14; k = o + 17; f = q + 20; y = f + 10; n = o + 3; z = c + 14; h = e + 5; q = l + 12; c = s + 15; s = k + 13; o = 2. If o = 2, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"u": "r + 6", "l": "u + 16", "e": "l + 12", "y": "e + 17", "f": "y + 19", "s": "f + 18", "v": "r + 17", "j": "v + 6", "d": "j + 7", "c": "d + 12", "k": "c + 15", "o": "k + 7", "r": 14}, "premises": {"r": 14}, "target": "s"}, "answer": {"steps": [["f", "y + 19", "y + 37"], ["y", "e + 17", "e + 54"], ["e", "l + 12", "l + 66"], ["l", "u + 16", "u + 82"], ["u", "r + 6", "r + 88"], ["r", 14, "102"]], "target_var_name": "s", "target_value": 102, "value_dict": {"r": 14}, "is_reverse": true}}
| 23,622
| 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 = d + 12; k = c + 15; d = j + 7; l = u + 16; r = 14; s = f + 18; y = e + 17; v = r + 17; j = v + 6; u = r + 6; f = y + 19; o = k + 7; e = l + 12. If r = 14, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 19 to s, which gives s = y + 37.\n2. Substitute y = e + 17 to s, which gives s = e + 54.\n3. Substitute e = l + 12 to s, which gives s = l + 66.\n4. Substitute l = u + 16 to s, which gives s = u + 82.\n5. Substitute u = r + 6 to s, which gives s = r + 88.\n6. Substitute r = 14 to s, which gives s = 102.\n\nThus, the final answer is s = \\boxed{102}.",
"index": 23622,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = d + 12; k = c + 15; d = j + 7; l = u + 16; r = 14; s = f + 18; y = e + 17; v = r + 17; j = v + 6; u = r + 6; f = y + 19; o = k + 7; e = l + 12. If r = 14, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"z": "i + 13", "q": "z + 7", "p": "q + 11", "u": "p + 17", "s": "u + 12", "k": "s + 12", "b": "i + 19", "n": "b + 7", "x": "n + 16", "v": "x + 11", "l": "v + 19", "a": "l + 6", "i": 16}, "premises": {"i": 16}, "target": "k"}, "answer": {"steps": [["s", "u + 12", "u + 24"], ["u", "p + 17", "p + 41"], ["p", "q + 11", "q + 52"], ["q", "z + 7", "z + 59"], ["z", "i + 13", "i + 72"], ["i", 16, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"i": 16}, "is_reverse": true}}
| 23,623
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = 16; p = q + 11; q = z + 7; s = u + 12; n = b + 7; z = i + 13; a = l + 6; u = p + 17; l = v + 19; k = s + 12; b = i + 19; x = n + 16; v = x + 11. Given that i = 16, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 12 to k, which gives k = u + 24.\n2. Substitute u = p + 17 to k, which gives k = p + 41.\n3. Substitute p = q + 11 to k, which gives k = q + 52.\n4. Substitute q = z + 7 to k, which gives k = z + 59.\n5. Substitute z = i + 13 to k, which gives k = i + 72.\n6. Substitute i = 16 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 23623,
"question": "Suppose a collection of variables is related by the following definitions: i = 16; p = q + 11; q = z + 7; s = u + 12; n = b + 7; z = i + 13; a = l + 6; u = p + 17; l = v + 19; k = s + 12; b = i + 19; x = n + 16; v = x + 11. Given that i = 16, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"v": "d + 20", "n": "v + 10", "r": "n + 12", "l": "r + 6", "y": "l + 2", "w": "y + 10", "j": "d + 7", "x": "j + 1", "e": "x + 4", "z": "e + 7", "c": "z + 11", "t": "c + 20", "d": 16}, "premises": {"d": 16}, "target": "w"}, "answer": {"steps": [["y", "l + 2", "l + 12"], ["l", "r + 6", "r + 18"], ["r", "n + 12", "n + 30"], ["n", "v + 10", "v + 40"], ["v", "d + 20", "d + 60"], ["d", 16, "76"]], "target_var_name": "w", "target_value": 76, "value_dict": {"d": 16}, "is_reverse": true}}
| 23,624
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = 16; t = c + 20; z = e + 7; j = d + 7; c = z + 11; l = r + 6; x = j + 1; e = x + 4; n = v + 10; r = n + 12; v = d + 20; w = y + 10; y = l + 2. If d = 16, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 2 to w, which gives w = l + 12.\n2. Substitute l = r + 6 to w, which gives w = r + 18.\n3. Substitute r = n + 12 to w, which gives w = n + 30.\n4. Substitute n = v + 10 to w, which gives w = v + 40.\n5. Substitute v = d + 20 to w, which gives w = d + 60.\n6. Substitute d = 16 to w, which gives w = 76.\n\nThus, the final answer is w = \\boxed{76}.",
"index": 23624,
"question": "Consider a system of variables where each variable is defined as follows: d = 16; t = c + 20; z = e + 7; j = d + 7; c = z + 11; l = r + 6; x = j + 1; e = x + 4; n = v + 10; r = n + 12; v = d + 20; w = y + 10; y = l + 2. If d = 16, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"i": "n + 1", "f": "i + 18", "b": "f + 15", "k": "b + 14", "z": "k + 15", "j": "z + 5", "o": "n + 12", "c": "o + 8", "r": "c + 4", "q": "r + 12", "u": "q + 17", "y": "u + 3", "n": 8}, "premises": {"n": 8}, "target": "j"}, "answer": {"steps": [["z", "k + 15", "k + 20"], ["k", "b + 14", "b + 34"], ["b", "f + 15", "f + 49"], ["f", "i + 18", "i + 67"], ["i", "n + 1", "n + 68"], ["n", 8, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"n": 8}, "is_reverse": true}}
| 23,625
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = u + 3; j = z + 5; r = c + 4; q = r + 12; k = b + 14; o = n + 12; i = n + 1; b = f + 15; u = q + 17; n = 8; f = i + 18; c = o + 8; z = k + 15. Given that n = 8, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 15 to j, which gives j = k + 20.\n2. Substitute k = b + 14 to j, which gives j = b + 34.\n3. Substitute b = f + 15 to j, which gives j = f + 49.\n4. Substitute f = i + 18 to j, which gives j = i + 67.\n5. Substitute i = n + 1 to j, which gives j = n + 68.\n6. Substitute n = 8 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 23625,
"question": "Suppose a collection of variables is related by the following definitions: y = u + 3; j = z + 5; r = c + 4; q = r + 12; k = b + 14; o = n + 12; i = n + 1; b = f + 15; u = q + 17; n = 8; f = i + 18; c = o + 8; z = k + 15. Given that n = 8, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"a": "q + 10", "w": "a + 12", "r": "w + 17", "v": "r + 8", "s": "v + 13", "z": "s + 2", "g": "q + 2", "o": "g + 19", "j": "o + 7", "d": "j + 10", "c": "d + 4", "b": "c + 3", "q": 17}, "premises": {"q": 17}, "target": "z"}, "answer": {"steps": [["s", "v + 13", "v + 15"], ["v", "r + 8", "r + 23"], ["r", "w + 17", "w + 40"], ["w", "a + 12", "a + 52"], ["a", "q + 10", "q + 62"], ["q", 17, "79"]], "target_var_name": "z", "target_value": 79, "value_dict": {"q": 17}, "is_reverse": true}}
| 23,626
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = o + 7; o = g + 19; q = 17; s = v + 13; w = a + 12; a = q + 10; d = j + 10; z = s + 2; c = d + 4; b = c + 3; r = w + 17; g = q + 2; v = r + 8. If q = 17, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 13 to z, which gives z = v + 15.\n2. Substitute v = r + 8 to z, which gives z = r + 23.\n3. Substitute r = w + 17 to z, which gives z = w + 40.\n4. Substitute w = a + 12 to z, which gives z = a + 52.\n5. Substitute a = q + 10 to z, which gives z = q + 62.\n6. Substitute q = 17 to z, which gives z = 79.\n\nThus, the final answer is z = \\boxed{79}.",
"index": 23626,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = o + 7; o = g + 19; q = 17; s = v + 13; w = a + 12; a = q + 10; d = j + 10; z = s + 2; c = d + 4; b = c + 3; r = w + 17; g = q + 2; v = r + 8. If q = 17, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"d": "r + 14", "t": "d + 2", "v": "t + 15", "y": "v + 20", "p": "y + 4", "f": "p + 5", "c": "r + 3", "o": "c + 6", "w": "o + 19", "b": "w + 8", "m": "b + 4", "j": "m + 7", "r": 18}, "premises": {"r": 18}, "target": "f"}, "answer": {"steps": [["p", "y + 4", "y + 9"], ["y", "v + 20", "v + 29"], ["v", "t + 15", "t + 44"], ["t", "d + 2", "d + 46"], ["d", "r + 14", "r + 60"], ["r", 18, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"r": 18}, "is_reverse": true}}
| 23,627
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = w + 8; v = t + 15; f = p + 5; p = y + 4; m = b + 4; d = r + 14; o = c + 6; y = v + 20; c = r + 3; t = d + 2; r = 18; w = o + 19; j = m + 7. Given that r = 18, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 4 to f, which gives f = y + 9.\n2. Substitute y = v + 20 to f, which gives f = v + 29.\n3. Substitute v = t + 15 to f, which gives f = t + 44.\n4. Substitute t = d + 2 to f, which gives f = d + 46.\n5. Substitute d = r + 14 to f, which gives f = r + 60.\n6. Substitute r = 18 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 23627,
"question": "Suppose a collection of variables is related by the following definitions: b = w + 8; v = t + 15; f = p + 5; p = y + 4; m = b + 4; d = r + 14; o = c + 6; y = v + 20; c = r + 3; t = d + 2; r = 18; w = o + 19; j = m + 7. Given that r = 18, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"v": "i + 4", "w": "v + 6", "e": "w + 13", "o": "e + 20", "b": "o + 16", "z": "b + 10", "c": "i + 14", "n": "c + 12", "a": "n + 12", "t": "a + 12", "u": "t + 15", "s": "u + 14", "i": 2}, "premises": {"i": 2}, "target": "z"}, "answer": {"steps": [["b", "o + 16", "o + 26"], ["o", "e + 20", "e + 46"], ["e", "w + 13", "w + 59"], ["w", "v + 6", "v + 65"], ["v", "i + 4", "i + 69"], ["i", 2, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"i": 2}, "is_reverse": true}}
| 23,628
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = n + 12; u = t + 15; b = o + 16; s = u + 14; c = i + 14; n = c + 12; t = a + 12; v = i + 4; i = 2; o = e + 20; z = b + 10; w = v + 6; e = w + 13. If i = 2, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 16 to z, which gives z = o + 26.\n2. Substitute o = e + 20 to z, which gives z = e + 46.\n3. Substitute e = w + 13 to z, which gives z = w + 59.\n4. Substitute w = v + 6 to z, which gives z = v + 65.\n5. Substitute v = i + 4 to z, which gives z = i + 69.\n6. Substitute i = 2 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 23628,
"question": "Consider a system of variables where each variable is defined as follows: a = n + 12; u = t + 15; b = o + 16; s = u + 14; c = i + 14; n = c + 12; t = a + 12; v = i + 4; i = 2; o = e + 20; z = b + 10; w = v + 6; e = w + 13. If i = 2, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"c": "x + 14", "y": "c + 15", "g": "y + 7", "f": "g + 3", "j": "f + 16", "l": "j + 4", "k": "x + 18", "u": "k + 1", "z": "u + 16", "w": "z + 9", "p": "w + 19", "a": "p + 6", "x": 4}, "premises": {"x": 4}, "target": "l"}, "answer": {"steps": [["j", "f + 16", "f + 20"], ["f", "g + 3", "g + 23"], ["g", "y + 7", "y + 30"], ["y", "c + 15", "c + 45"], ["c", "x + 14", "x + 59"], ["x", 4, "63"]], "target_var_name": "l", "target_value": 63, "value_dict": {"x": 4}, "is_reverse": true}}
| 23,629
| 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 = 4; f = g + 3; w = z + 9; a = p + 6; g = y + 7; u = k + 1; k = x + 18; z = u + 16; p = w + 19; l = j + 4; j = f + 16; c = x + 14; y = c + 15. If x = 4, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 16 to l, which gives l = f + 20.\n2. Substitute f = g + 3 to l, which gives l = g + 23.\n3. Substitute g = y + 7 to l, which gives l = y + 30.\n4. Substitute y = c + 15 to l, which gives l = c + 45.\n5. Substitute c = x + 14 to l, which gives l = x + 59.\n6. Substitute x = 4 to l, which gives l = 63.\n\nThus, the final answer is l = \\boxed{63}.",
"index": 23629,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 4; f = g + 3; w = z + 9; a = p + 6; g = y + 7; u = k + 1; k = x + 18; z = u + 16; p = w + 19; l = j + 4; j = f + 16; c = x + 14; y = c + 15. If x = 4, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"c": "a + 1", "u": "c + 4", "g": "u + 12", "s": "g + 17", "n": "s + 1", "j": "n + 3", "z": "a + 3", "f": "z + 13", "r": "f + 5", "e": "r + 7", "p": "e + 8", "m": "p + 8", "a": 18}, "premises": {"a": 18}, "target": "j"}, "answer": {"steps": [["n", "s + 1", "s + 4"], ["s", "g + 17", "g + 21"], ["g", "u + 12", "u + 33"], ["u", "c + 4", "c + 37"], ["c", "a + 1", "a + 38"], ["a", 18, "56"]], "target_var_name": "j", "target_value": 56, "value_dict": {"a": 18}, "is_reverse": true}}
| 23,630
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = p + 8; e = r + 7; r = f + 5; f = z + 13; j = n + 3; p = e + 8; c = a + 1; a = 18; g = u + 12; n = s + 1; z = a + 3; u = c + 4; s = g + 17. If a = 18, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 1 to j, which gives j = s + 4.\n2. Substitute s = g + 17 to j, which gives j = g + 21.\n3. Substitute g = u + 12 to j, which gives j = u + 33.\n4. Substitute u = c + 4 to j, which gives j = c + 37.\n5. Substitute c = a + 1 to j, which gives j = a + 38.\n6. Substitute a = 18 to j, which gives j = 56.\n\nThus, the final answer is j = \\boxed{56}.",
"index": 23630,
"question": "Consider a system of variables where each variable is defined as follows: m = p + 8; e = r + 7; r = f + 5; f = z + 13; j = n + 3; p = e + 8; c = a + 1; a = 18; g = u + 12; n = s + 1; z = a + 3; u = c + 4; s = g + 17. If a = 18, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"y": "x + 3", "l": "y + 17", "a": "l + 18", "g": "a + 17", "q": "g + 4", "z": "q + 13", "p": "x + 19", "k": "p + 16", "u": "k + 16", "b": "u + 13", "h": "b + 17", "t": "h + 6", "x": 17}, "premises": {"x": 17}, "target": "z"}, "answer": {"steps": [["q", "g + 4", "g + 17"], ["g", "a + 17", "a + 34"], ["a", "l + 18", "l + 52"], ["l", "y + 17", "y + 69"], ["y", "x + 3", "x + 72"], ["x", 17, "89"]], "target_var_name": "z", "target_value": 89, "value_dict": {"x": 17}, "is_reverse": true}}
| 23,631
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = q + 13; a = l + 18; y = x + 3; u = k + 16; k = p + 16; b = u + 13; t = h + 6; g = a + 17; l = y + 17; q = g + 4; h = b + 17; p = x + 19; x = 17. If x = 17, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 4 to z, which gives z = g + 17.\n2. Substitute g = a + 17 to z, which gives z = a + 34.\n3. Substitute a = l + 18 to z, which gives z = l + 52.\n4. Substitute l = y + 17 to z, which gives z = y + 69.\n5. Substitute y = x + 3 to z, which gives z = x + 72.\n6. Substitute x = 17 to z, which gives z = 89.\n\nThus, the final answer is z = \\boxed{89}.",
"index": 23631,
"question": "Consider a system of variables where each variable is defined as follows: z = q + 13; a = l + 18; y = x + 3; u = k + 16; k = p + 16; b = u + 13; t = h + 6; g = a + 17; l = y + 17; q = g + 4; h = b + 17; p = x + 19; x = 17. If x = 17, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"w": "o + 7", "s": "w + 4", "m": "s + 10", "j": "m + 1", "u": "j + 12", "d": "u + 14", "g": "o + 19", "t": "g + 9", "r": "t + 17", "p": "r + 18", "k": "p + 4", "v": "k + 12", "o": 7}, "premises": {"o": 7}, "target": "d"}, "answer": {"steps": [["u", "j + 12", "j + 26"], ["j", "m + 1", "m + 27"], ["m", "s + 10", "s + 37"], ["s", "w + 4", "w + 41"], ["w", "o + 7", "o + 48"], ["o", 7, "55"]], "target_var_name": "d", "target_value": 55, "value_dict": {"o": 7}, "is_reverse": true}}
| 23,632
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = s + 10; s = w + 4; o = 7; d = u + 14; t = g + 9; u = j + 12; r = t + 17; w = o + 7; k = p + 4; v = k + 12; g = o + 19; j = m + 1; p = r + 18. Given that o = 7, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 12 to d, which gives d = j + 26.\n2. Substitute j = m + 1 to d, which gives d = m + 27.\n3. Substitute m = s + 10 to d, which gives d = s + 37.\n4. Substitute s = w + 4 to d, which gives d = w + 41.\n5. Substitute w = o + 7 to d, which gives d = o + 48.\n6. Substitute o = 7 to d, which gives d = 55.\n\nThus, the final answer is d = \\boxed{55}.",
"index": 23632,
"question": "Suppose a collection of variables is related by the following definitions: m = s + 10; s = w + 4; o = 7; d = u + 14; t = g + 9; u = j + 12; r = t + 17; w = o + 7; k = p + 4; v = k + 12; g = o + 19; j = m + 1; p = r + 18. Given that o = 7, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 11", "g": "n + 4", "b": "g + 5", "z": "b + 18", "x": "z + 9", "s": "x + 10", "i": "q + 12", "d": "i + 14", "l": "d + 20", "u": "l + 6", "a": "u + 5", "k": "a + 8", "q": 3}, "premises": {"q": 3}, "target": "s"}, "answer": {"steps": [["x", "z + 9", "z + 19"], ["z", "b + 18", "b + 37"], ["b", "g + 5", "g + 42"], ["g", "n + 4", "n + 46"], ["n", "q + 11", "q + 57"], ["q", 3, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"q": 3}, "is_reverse": true}}
| 23,633
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 10; b = g + 5; a = u + 5; g = n + 4; d = i + 14; n = q + 11; q = 3; z = b + 18; i = q + 12; k = a + 8; l = d + 20; u = l + 6; x = z + 9. If q = 3, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 9 to s, which gives s = z + 19.\n2. Substitute z = b + 18 to s, which gives s = b + 37.\n3. Substitute b = g + 5 to s, which gives s = g + 42.\n4. Substitute g = n + 4 to s, which gives s = n + 46.\n5. Substitute n = q + 11 to s, which gives s = q + 57.\n6. Substitute q = 3 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 23633,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 10; b = g + 5; a = u + 5; g = n + 4; d = i + 14; n = q + 11; q = 3; z = b + 18; i = q + 12; k = a + 8; l = d + 20; u = l + 6; x = z + 9. If q = 3, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"v": "w + 12", "u": "v + 11", "i": "u + 4", "s": "i + 10", "e": "s + 7", "p": "e + 9", "h": "w + 19", "x": "h + 4", "n": "x + 9", "f": "n + 16", "k": "f + 7", "z": "k + 20", "w": 9}, "premises": {"w": 9}, "target": "p"}, "answer": {"steps": [["e", "s + 7", "s + 16"], ["s", "i + 10", "i + 26"], ["i", "u + 4", "u + 30"], ["u", "v + 11", "v + 41"], ["v", "w + 12", "w + 53"], ["w", 9, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"w": 9}, "is_reverse": true}}
| 23,634
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = v + 11; e = s + 7; k = f + 7; s = i + 10; p = e + 9; h = w + 19; x = h + 4; f = n + 16; z = k + 20; w = 9; i = u + 4; v = w + 12; n = x + 9. If w = 9, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 7 to p, which gives p = s + 16.\n2. Substitute s = i + 10 to p, which gives p = i + 26.\n3. Substitute i = u + 4 to p, which gives p = u + 30.\n4. Substitute u = v + 11 to p, which gives p = v + 41.\n5. Substitute v = w + 12 to p, which gives p = w + 53.\n6. Substitute w = 9 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 23634,
"question": "Consider a system of variables where each variable is defined as follows: u = v + 11; e = s + 7; k = f + 7; s = i + 10; p = e + 9; h = w + 19; x = h + 4; f = n + 16; z = k + 20; w = 9; i = u + 4; v = w + 12; n = x + 9. If w = 9, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"z": "h + 4", "x": "z + 15", "l": "x + 13", "f": "l + 8", "e": "f + 12", "s": "e + 18", "t": "h + 7", "c": "t + 7", "v": "c + 19", "a": "v + 16", "k": "a + 9", "d": "k + 8", "h": 6}, "premises": {"h": 6}, "target": "s"}, "answer": {"steps": [["e", "f + 12", "f + 30"], ["f", "l + 8", "l + 38"], ["l", "x + 13", "x + 51"], ["x", "z + 15", "z + 66"], ["z", "h + 4", "h + 70"], ["h", 6, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"h": 6}, "is_reverse": true}}
| 23,635
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = h + 7; e = f + 12; l = x + 13; k = a + 9; d = k + 8; c = t + 7; h = 6; f = l + 8; a = v + 16; v = c + 19; z = h + 4; x = z + 15; s = e + 18. Given that h = 6, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 12 to s, which gives s = f + 30.\n2. Substitute f = l + 8 to s, which gives s = l + 38.\n3. Substitute l = x + 13 to s, which gives s = x + 51.\n4. Substitute x = z + 15 to s, which gives s = z + 66.\n5. Substitute z = h + 4 to s, which gives s = h + 70.\n6. Substitute h = 6 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 23635,
"question": "Suppose a collection of variables is related by the following definitions: t = h + 7; e = f + 12; l = x + 13; k = a + 9; d = k + 8; c = t + 7; h = 6; f = l + 8; a = v + 16; v = c + 19; z = h + 4; x = z + 15; s = e + 18. Given that h = 6, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"j": "c + 13", "v": "j + 7", "b": "v + 1", "l": "b + 9", "f": "l + 17", "o": "f + 15", "x": "c + 15", "s": "x + 15", "p": "s + 19", "r": "p + 15", "h": "r + 2", "a": "h + 3", "c": 8}, "premises": {"c": 8}, "target": "o"}, "answer": {"steps": [["f", "l + 17", "l + 32"], ["l", "b + 9", "b + 41"], ["b", "v + 1", "v + 42"], ["v", "j + 7", "j + 49"], ["j", "c + 13", "c + 62"], ["c", 8, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"c": 8}, "is_reverse": true}}
| 23,636
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = v + 1; h = r + 2; x = c + 15; o = f + 15; v = j + 7; p = s + 19; c = 8; f = l + 17; l = b + 9; j = c + 13; a = h + 3; r = p + 15; s = x + 15. If c = 8, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 17 to o, which gives o = l + 32.\n2. Substitute l = b + 9 to o, which gives o = b + 41.\n3. Substitute b = v + 1 to o, which gives o = v + 42.\n4. Substitute v = j + 7 to o, which gives o = j + 49.\n5. Substitute j = c + 13 to o, which gives o = c + 62.\n6. Substitute c = 8 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 23636,
"question": "Consider a system of variables where each variable is defined as follows: b = v + 1; h = r + 2; x = c + 15; o = f + 15; v = j + 7; p = s + 19; c = 8; f = l + 17; l = b + 9; j = c + 13; a = h + 3; r = p + 15; s = x + 15. If c = 8, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"v": "y + 14", "n": "v + 16", "m": "n + 19", "a": "m + 1", "f": "a + 16", "b": "f + 2", "t": "y + 18", "r": "t + 20", "q": "r + 7", "i": "q + 2", "x": "i + 7", "h": "x + 8", "y": 17}, "premises": {"y": 17}, "target": "b"}, "answer": {"steps": [["f", "a + 16", "a + 18"], ["a", "m + 1", "m + 19"], ["m", "n + 19", "n + 38"], ["n", "v + 16", "v + 54"], ["v", "y + 14", "y + 68"], ["y", 17, "85"]], "target_var_name": "b", "target_value": 85, "value_dict": {"y": 17}, "is_reverse": true}}
| 23,637
| 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 = q + 2; y = 17; h = x + 8; f = a + 16; v = y + 14; t = y + 18; x = i + 7; a = m + 1; r = t + 20; q = r + 7; b = f + 2; m = n + 19; n = v + 16. If y = 17, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 16 to b, which gives b = a + 18.\n2. Substitute a = m + 1 to b, which gives b = m + 19.\n3. Substitute m = n + 19 to b, which gives b = n + 38.\n4. Substitute n = v + 16 to b, which gives b = v + 54.\n5. Substitute v = y + 14 to b, which gives b = y + 68.\n6. Substitute y = 17 to b, which gives b = 85.\n\nThus, the final answer is b = \\boxed{85}.",
"index": 23637,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 2; y = 17; h = x + 8; f = a + 16; v = y + 14; t = y + 18; x = i + 7; a = m + 1; r = t + 20; q = r + 7; b = f + 2; m = n + 19; n = v + 16. If y = 17, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"r": "c + 15", "x": "r + 1", "i": "x + 10", "w": "i + 16", "a": "w + 3", "s": "a + 9", "e": "c + 18", "k": "e + 13", "f": "k + 9", "h": "f + 17", "p": "h + 12", "v": "p + 15", "c": 8}, "premises": {"c": 8}, "target": "s"}, "answer": {"steps": [["a", "w + 3", "w + 12"], ["w", "i + 16", "i + 28"], ["i", "x + 10", "x + 38"], ["x", "r + 1", "r + 39"], ["r", "c + 15", "c + 54"], ["c", 8, "62"]], "target_var_name": "s", "target_value": 62, "value_dict": {"c": 8}, "is_reverse": true}}
| 23,638
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = f + 17; f = k + 9; s = a + 9; v = p + 15; e = c + 18; c = 8; p = h + 12; w = i + 16; k = e + 13; x = r + 1; i = x + 10; r = c + 15; a = w + 3. Given that c = 8, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 3 to s, which gives s = w + 12.\n2. Substitute w = i + 16 to s, which gives s = i + 28.\n3. Substitute i = x + 10 to s, which gives s = x + 38.\n4. Substitute x = r + 1 to s, which gives s = r + 39.\n5. Substitute r = c + 15 to s, which gives s = c + 54.\n6. Substitute c = 8 to s, which gives s = 62.\n\nThus, the final answer is s = \\boxed{62}.",
"index": 23638,
"question": "Suppose a collection of variables is related by the following definitions: h = f + 17; f = k + 9; s = a + 9; v = p + 15; e = c + 18; c = 8; p = h + 12; w = i + 16; k = e + 13; x = r + 1; i = x + 10; r = c + 15; a = w + 3. Given that c = 8, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"q": "p + 3", "g": "q + 13", "m": "g + 9", "k": "m + 16", "i": "k + 11", "a": "i + 11", "j": "p + 11", "z": "j + 8", "v": "z + 5", "t": "v + 13", "n": "t + 8", "r": "n + 3", "p": 13}, "premises": {"p": 13}, "target": "a"}, "answer": {"steps": [["i", "k + 11", "k + 22"], ["k", "m + 16", "m + 38"], ["m", "g + 9", "g + 47"], ["g", "q + 13", "q + 60"], ["q", "p + 3", "p + 63"], ["p", 13, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"p": 13}, "is_reverse": true}}
| 23,639
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = 13; j = p + 11; t = v + 13; k = m + 16; a = i + 11; v = z + 5; z = j + 8; r = n + 3; i = k + 11; n = t + 8; g = q + 13; m = g + 9; q = p + 3. Given that p = 13, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 11 to a, which gives a = k + 22.\n2. Substitute k = m + 16 to a, which gives a = m + 38.\n3. Substitute m = g + 9 to a, which gives a = g + 47.\n4. Substitute g = q + 13 to a, which gives a = q + 60.\n5. Substitute q = p + 3 to a, which gives a = p + 63.\n6. Substitute p = 13 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 23639,
"question": "Suppose a collection of variables is related by the following definitions: p = 13; j = p + 11; t = v + 13; k = m + 16; a = i + 11; v = z + 5; z = j + 8; r = n + 3; i = k + 11; n = t + 8; g = q + 13; m = g + 9; q = p + 3. Given that p = 13, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"y": "x + 9", "z": "y + 8", "q": "z + 6", "o": "q + 7", "s": "o + 8", "h": "s + 13", "d": "x + 14", "c": "d + 7", "p": "c + 8", "b": "p + 7", "t": "b + 10", "g": "t + 12", "x": 10}, "premises": {"x": 10}, "target": "h"}, "answer": {"steps": [["s", "o + 8", "o + 21"], ["o", "q + 7", "q + 28"], ["q", "z + 6", "z + 34"], ["z", "y + 8", "y + 42"], ["y", "x + 9", "x + 51"], ["x", 10, "61"]], "target_var_name": "h", "target_value": 61, "value_dict": {"x": 10}, "is_reverse": true}}
| 23,640
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = b + 10; c = d + 7; o = q + 7; s = o + 8; h = s + 13; g = t + 12; q = z + 6; d = x + 14; b = p + 7; p = c + 8; x = 10; z = y + 8; y = x + 9. If x = 10, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 8 to h, which gives h = o + 21.\n2. Substitute o = q + 7 to h, which gives h = q + 28.\n3. Substitute q = z + 6 to h, which gives h = z + 34.\n4. Substitute z = y + 8 to h, which gives h = y + 42.\n5. Substitute y = x + 9 to h, which gives h = x + 51.\n6. Substitute x = 10 to h, which gives h = 61.\n\nThus, the final answer is h = \\boxed{61}.",
"index": 23640,
"question": "Consider a system of variables where each variable is defined as follows: t = b + 10; c = d + 7; o = q + 7; s = o + 8; h = s + 13; g = t + 12; q = z + 6; d = x + 14; b = p + 7; p = c + 8; x = 10; z = y + 8; y = x + 9. If x = 10, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"i": "h + 19", "p": "i + 3", "u": "p + 11", "k": "u + 18", "t": "k + 2", "q": "t + 11", "f": "h + 19", "n": "f + 12", "c": "n + 10", "b": "c + 20", "o": "b + 12", "w": "o + 13", "h": 8}, "premises": {"h": 8}, "target": "q"}, "answer": {"steps": [["t", "k + 2", "k + 13"], ["k", "u + 18", "u + 31"], ["u", "p + 11", "p + 42"], ["p", "i + 3", "i + 45"], ["i", "h + 19", "h + 64"], ["h", 8, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"h": 8}, "is_reverse": true}}
| 23,641
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = f + 12; b = c + 20; o = b + 12; p = i + 3; c = n + 10; w = o + 13; f = h + 19; u = p + 11; i = h + 19; t = k + 2; h = 8; q = t + 11; k = u + 18. Given that h = 8, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 2 to q, which gives q = k + 13.\n2. Substitute k = u + 18 to q, which gives q = u + 31.\n3. Substitute u = p + 11 to q, which gives q = p + 42.\n4. Substitute p = i + 3 to q, which gives q = i + 45.\n5. Substitute i = h + 19 to q, which gives q = h + 64.\n6. Substitute h = 8 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 23641,
"question": "Suppose a collection of variables is related by the following definitions: n = f + 12; b = c + 20; o = b + 12; p = i + 3; c = n + 10; w = o + 13; f = h + 19; u = p + 11; i = h + 19; t = k + 2; h = 8; q = t + 11; k = u + 18. Given that h = 8, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"c": "x + 15", "l": "c + 12", "h": "l + 4", "z": "h + 16", "s": "z + 10", "f": "s + 3", "p": "x + 5", "k": "p + 15", "w": "k + 13", "n": "w + 19", "a": "n + 4", "g": "a + 2", "x": 16}, "premises": {"x": 16}, "target": "f"}, "answer": {"steps": [["s", "z + 10", "z + 13"], ["z", "h + 16", "h + 29"], ["h", "l + 4", "l + 33"], ["l", "c + 12", "c + 45"], ["c", "x + 15", "x + 60"], ["x", 16, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"x": 16}, "is_reverse": true}}
| 23,642
| 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 = w + 19; x = 16; f = s + 3; g = a + 2; c = x + 15; s = z + 10; a = n + 4; h = l + 4; w = k + 13; p = x + 5; z = h + 16; k = p + 15; l = c + 12. If x = 16, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 10 to f, which gives f = z + 13.\n2. Substitute z = h + 16 to f, which gives f = h + 29.\n3. Substitute h = l + 4 to f, which gives f = l + 33.\n4. Substitute l = c + 12 to f, which gives f = c + 45.\n5. Substitute c = x + 15 to f, which gives f = x + 60.\n6. Substitute x = 16 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 23642,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = w + 19; x = 16; f = s + 3; g = a + 2; c = x + 15; s = z + 10; a = n + 4; h = l + 4; w = k + 13; p = x + 5; z = h + 16; k = p + 15; l = c + 12. If x = 16, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 9", "k": "e + 6", "p": "k + 5", "c": "p + 19", "q": "c + 12", "x": "q + 4", "z": "d + 19", "v": "z + 3", "o": "v + 9", "a": "o + 3", "t": "a + 13", "j": "t + 16", "d": 3}, "premises": {"d": 3}, "target": "x"}, "answer": {"steps": [["q", "c + 12", "c + 16"], ["c", "p + 19", "p + 35"], ["p", "k + 5", "k + 40"], ["k", "e + 6", "e + 46"], ["e", "d + 9", "d + 55"], ["d", 3, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"d": 3}, "is_reverse": true}}
| 23,643
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = o + 3; q = c + 12; k = e + 6; d = 3; x = q + 4; v = z + 3; t = a + 13; z = d + 19; e = d + 9; p = k + 5; o = v + 9; j = t + 16; c = p + 19. If d = 3, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 12 to x, which gives x = c + 16.\n2. Substitute c = p + 19 to x, which gives x = p + 35.\n3. Substitute p = k + 5 to x, which gives x = k + 40.\n4. Substitute k = e + 6 to x, which gives x = e + 46.\n5. Substitute e = d + 9 to x, which gives x = d + 55.\n6. Substitute d = 3 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 23643,
"question": "Consider a system of variables where each variable is defined as follows: a = o + 3; q = c + 12; k = e + 6; d = 3; x = q + 4; v = z + 3; t = a + 13; z = d + 19; e = d + 9; p = k + 5; o = v + 9; j = t + 16; c = p + 19. If d = 3, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"v": "x + 20", "w": "v + 20", "f": "w + 2", "s": "f + 18", "t": "s + 13", "c": "t + 9", "g": "x + 15", "y": "g + 1", "p": "y + 9", "a": "p + 15", "m": "a + 13", "b": "m + 8", "x": 9}, "premises": {"x": 9}, "target": "c"}, "answer": {"steps": [["t", "s + 13", "s + 22"], ["s", "f + 18", "f + 40"], ["f", "w + 2", "w + 42"], ["w", "v + 20", "v + 62"], ["v", "x + 20", "x + 82"], ["x", 9, "91"]], "target_var_name": "c", "target_value": 91, "value_dict": {"x": 9}, "is_reverse": true}}
| 23,644
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = g + 1; a = p + 15; v = x + 20; x = 9; s = f + 18; w = v + 20; c = t + 9; p = y + 9; g = x + 15; b = m + 8; f = w + 2; t = s + 13; m = a + 13. If x = 9, determine the 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 t = s + 13 to c, which gives c = s + 22.\n2. Substitute s = f + 18 to c, which gives c = f + 40.\n3. Substitute f = w + 2 to c, which gives c = w + 42.\n4. Substitute w = v + 20 to c, which gives c = v + 62.\n5. Substitute v = x + 20 to c, which gives c = x + 82.\n6. Substitute x = 9 to c, which gives c = 91.\n\nThus, the final answer is c = \\boxed{91}.",
"index": 23644,
"question": "Consider a system of variables where each variable is defined as follows: y = g + 1; a = p + 15; v = x + 20; x = 9; s = f + 18; w = v + 20; c = t + 9; p = y + 9; g = x + 15; b = m + 8; f = w + 2; t = s + 13; m = a + 13. If x = 9, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"n": "b + 2", "c": "n + 7", "d": "c + 12", "l": "d + 14", "q": "l + 10", "y": "q + 13", "z": "b + 8", "v": "z + 2", "h": "v + 17", "j": "h + 3", "g": "j + 11", "w": "g + 18", "b": 2}, "premises": {"b": 2}, "target": "y"}, "answer": {"steps": [["q", "l + 10", "l + 23"], ["l", "d + 14", "d + 37"], ["d", "c + 12", "c + 49"], ["c", "n + 7", "n + 56"], ["n", "b + 2", "b + 58"], ["b", 2, "60"]], "target_var_name": "y", "target_value": 60, "value_dict": {"b": 2}, "is_reverse": true}}
| 23,645
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = v + 17; j = h + 3; z = b + 8; c = n + 7; y = q + 13; n = b + 2; q = l + 10; b = 2; l = d + 14; d = c + 12; v = z + 2; g = j + 11; w = g + 18. If b = 2, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 10 to y, which gives y = l + 23.\n2. Substitute l = d + 14 to y, which gives y = d + 37.\n3. Substitute d = c + 12 to y, which gives y = c + 49.\n4. Substitute c = n + 7 to y, which gives y = n + 56.\n5. Substitute n = b + 2 to y, which gives y = b + 58.\n6. Substitute b = 2 to y, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 23645,
"question": "Consider a system of variables where each variable is defined as follows: h = v + 17; j = h + 3; z = b + 8; c = n + 7; y = q + 13; n = b + 2; q = l + 10; b = 2; l = d + 14; d = c + 12; v = z + 2; g = j + 11; w = g + 18. If b = 2, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"d": "k + 20", "m": "d + 7", "s": "m + 1", "w": "s + 19", "j": "w + 8", "g": "j + 19", "a": "k + 15", "r": "a + 9", "e": "r + 10", "c": "e + 12", "i": "c + 15", "p": "i + 12", "k": 8}, "premises": {"k": 8}, "target": "g"}, "answer": {"steps": [["j", "w + 8", "w + 27"], ["w", "s + 19", "s + 46"], ["s", "m + 1", "m + 47"], ["m", "d + 7", "d + 54"], ["d", "k + 20", "k + 74"], ["k", 8, "82"]], "target_var_name": "g", "target_value": 82, "value_dict": {"k": 8}, "is_reverse": true}}
| 23,646
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = k + 20; a = k + 15; s = m + 1; p = i + 12; r = a + 9; e = r + 10; i = c + 15; w = s + 19; m = d + 7; j = w + 8; c = e + 12; k = 8; g = j + 19. If k = 8, determine 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 j = w + 8 to g, which gives g = w + 27.\n2. Substitute w = s + 19 to g, which gives g = s + 46.\n3. Substitute s = m + 1 to g, which gives g = m + 47.\n4. Substitute m = d + 7 to g, which gives g = d + 54.\n5. Substitute d = k + 20 to g, which gives g = k + 74.\n6. Substitute k = 8 to g, which gives g = 82.\n\nThus, the final answer is g = \\boxed{82}.",
"index": 23646,
"question": "Consider a system of variables where each variable is defined as follows: d = k + 20; a = k + 15; s = m + 1; p = i + 12; r = a + 9; e = r + 10; i = c + 15; w = s + 19; m = d + 7; j = w + 8; c = e + 12; k = 8; g = j + 19. If k = 8, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"e": "v + 18", "w": "e + 5", "l": "w + 11", "n": "l + 2", "u": "n + 4", "z": "u + 18", "f": "v + 11", "b": "f + 16", "c": "b + 18", "x": "c + 2", "q": "x + 5", "i": "q + 2", "v": 7}, "premises": {"v": 7}, "target": "z"}, "answer": {"steps": [["u", "n + 4", "n + 22"], ["n", "l + 2", "l + 24"], ["l", "w + 11", "w + 35"], ["w", "e + 5", "e + 40"], ["e", "v + 18", "v + 58"], ["v", 7, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"v": 7}, "is_reverse": true}}
| 23,647
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = x + 5; z = u + 18; u = n + 4; f = v + 11; e = v + 18; w = e + 5; i = q + 2; n = l + 2; c = b + 18; b = f + 16; l = w + 11; v = 7; x = c + 2. If v = 7, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 4 to z, which gives z = n + 22.\n2. Substitute n = l + 2 to z, which gives z = l + 24.\n3. Substitute l = w + 11 to z, which gives z = w + 35.\n4. Substitute w = e + 5 to z, which gives z = e + 40.\n5. Substitute e = v + 18 to z, which gives z = v + 58.\n6. Substitute v = 7 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 23647,
"question": "Consider a system of variables where each variable is defined as follows: q = x + 5; z = u + 18; u = n + 4; f = v + 11; e = v + 18; w = e + 5; i = q + 2; n = l + 2; c = b + 18; b = f + 16; l = w + 11; v = 7; x = c + 2. If v = 7, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"i": "u + 20", "r": "i + 2", "d": "r + 19", "o": "d + 12", "h": "o + 9", "g": "h + 3", "z": "u + 14", "a": "z + 1", "m": "a + 11", "c": "m + 12", "p": "c + 17", "x": "p + 14", "u": 15}, "premises": {"u": 15}, "target": "g"}, "answer": {"steps": [["h", "o + 9", "o + 12"], ["o", "d + 12", "d + 24"], ["d", "r + 19", "r + 43"], ["r", "i + 2", "i + 45"], ["i", "u + 20", "u + 65"], ["u", 15, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"u": 15}, "is_reverse": true}}
| 23,648
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = c + 17; a = z + 1; g = h + 3; h = o + 9; x = p + 14; o = d + 12; m = a + 11; z = u + 14; u = 15; i = u + 20; r = i + 2; d = r + 19; c = m + 12. If u = 15, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 9 to g, which gives g = o + 12.\n2. Substitute o = d + 12 to g, which gives g = d + 24.\n3. Substitute d = r + 19 to g, which gives g = r + 43.\n4. Substitute r = i + 2 to g, which gives g = i + 45.\n5. Substitute i = u + 20 to g, which gives g = u + 65.\n6. Substitute u = 15 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 23648,
"question": "Consider a system of variables where each variable is defined as follows: p = c + 17; a = z + 1; g = h + 3; h = o + 9; x = p + 14; o = d + 12; m = a + 11; z = u + 14; u = 15; i = u + 20; r = i + 2; d = r + 19; c = m + 12. If u = 15, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"o": "q + 17", "x": "o + 14", "e": "x + 3", "c": "e + 18", "h": "c + 5", "m": "h + 18", "z": "q + 9", "y": "z + 18", "n": "y + 11", "j": "n + 10", "i": "j + 2", "d": "i + 17", "q": 11}, "premises": {"q": 11}, "target": "m"}, "answer": {"steps": [["h", "c + 5", "c + 23"], ["c", "e + 18", "e + 41"], ["e", "x + 3", "x + 44"], ["x", "o + 14", "o + 58"], ["o", "q + 17", "q + 75"], ["q", 11, "86"]], "target_var_name": "m", "target_value": 86, "value_dict": {"q": 11}, "is_reverse": true}}
| 23,649
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = i + 17; q = 11; z = q + 9; y = z + 18; n = y + 11; m = h + 18; i = j + 2; j = n + 10; x = o + 14; o = q + 17; e = x + 3; h = c + 5; c = e + 18. If q = 11, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 5 to m, which gives m = c + 23.\n2. Substitute c = e + 18 to m, which gives m = e + 41.\n3. Substitute e = x + 3 to m, which gives m = x + 44.\n4. Substitute x = o + 14 to m, which gives m = o + 58.\n5. Substitute o = q + 17 to m, which gives m = q + 75.\n6. Substitute q = 11 to m, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 23649,
"question": "Consider a system of variables where each variable is defined as follows: d = i + 17; q = 11; z = q + 9; y = z + 18; n = y + 11; m = h + 18; i = j + 2; j = n + 10; x = o + 14; o = q + 17; e = x + 3; h = c + 5; c = e + 18. If q = 11, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"b": "m + 15", "r": "b + 16", "t": "r + 6", "h": "t + 13", "x": "h + 6", "e": "x + 14", "u": "m + 7", "z": "u + 3", "a": "z + 8", "s": "a + 12", "f": "s + 20", "i": "f + 8", "m": 4}, "premises": {"m": 4}, "target": "e"}, "answer": {"steps": [["x", "h + 6", "h + 20"], ["h", "t + 13", "t + 33"], ["t", "r + 6", "r + 39"], ["r", "b + 16", "b + 55"], ["b", "m + 15", "m + 70"], ["m", 4, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"m": 4}, "is_reverse": true}}
| 23,650
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = 4; s = a + 12; i = f + 8; a = z + 8; t = r + 6; x = h + 6; r = b + 16; u = m + 7; f = s + 20; b = m + 15; z = u + 3; h = t + 13; e = x + 14. Given that m = 4, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 6 to e, which gives e = h + 20.\n2. Substitute h = t + 13 to e, which gives e = t + 33.\n3. Substitute t = r + 6 to e, which gives e = r + 39.\n4. Substitute r = b + 16 to e, which gives e = b + 55.\n5. Substitute b = m + 15 to e, which gives e = m + 70.\n6. Substitute m = 4 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 23650,
"question": "Suppose a collection of variables is related by the following definitions: m = 4; s = a + 12; i = f + 8; a = z + 8; t = r + 6; x = h + 6; r = b + 16; u = m + 7; f = s + 20; b = m + 15; z = u + 3; h = t + 13; e = x + 14. Given that m = 4, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"d": "x + 6", "g": "d + 8", "i": "g + 4", "j": "i + 3", "v": "j + 20", "p": "v + 14", "m": "x + 11", "w": "m + 20", "l": "w + 13", "f": "l + 10", "h": "f + 8", "a": "h + 10", "x": 19}, "premises": {"x": 19}, "target": "p"}, "answer": {"steps": [["v", "j + 20", "j + 34"], ["j", "i + 3", "i + 37"], ["i", "g + 4", "g + 41"], ["g", "d + 8", "d + 49"], ["d", "x + 6", "x + 55"], ["x", 19, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"x": 19}, "is_reverse": true}}
| 23,651
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = w + 13; g = d + 8; i = g + 4; w = m + 20; x = 19; m = x + 11; d = x + 6; p = v + 14; j = i + 3; v = j + 20; a = h + 10; f = l + 10; h = f + 8. Given that x = 19, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 20 to p, which gives p = j + 34.\n2. Substitute j = i + 3 to p, which gives p = i + 37.\n3. Substitute i = g + 4 to p, which gives p = g + 41.\n4. Substitute g = d + 8 to p, which gives p = d + 49.\n5. Substitute d = x + 6 to p, which gives p = x + 55.\n6. Substitute x = 19 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 23651,
"question": "Suppose a collection of variables is related by the following definitions: l = w + 13; g = d + 8; i = g + 4; w = m + 20; x = 19; m = x + 11; d = x + 6; p = v + 14; j = i + 3; v = j + 20; a = h + 10; f = l + 10; h = f + 8. Given that x = 19, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"l": "f + 7", "d": "l + 10", "y": "d + 3", "s": "y + 17", "r": "s + 5", "j": "r + 1", "e": "f + 13", "g": "e + 12", "n": "g + 5", "c": "n + 7", "p": "c + 13", "u": "p + 5", "f": 18}, "premises": {"f": 18}, "target": "j"}, "answer": {"steps": [["r", "s + 5", "s + 6"], ["s", "y + 17", "y + 23"], ["y", "d + 3", "d + 26"], ["d", "l + 10", "l + 36"], ["l", "f + 7", "f + 43"], ["f", 18, "61"]], "target_var_name": "j", "target_value": 61, "value_dict": {"f": 18}, "is_reverse": true}}
| 23,652
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = s + 5; l = f + 7; f = 18; j = r + 1; u = p + 5; d = l + 10; c = n + 7; g = e + 12; s = y + 17; p = c + 13; e = f + 13; y = d + 3; n = g + 5. Given that f = 18, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 5 to j, which gives j = s + 6.\n2. Substitute s = y + 17 to j, which gives j = y + 23.\n3. Substitute y = d + 3 to j, which gives j = d + 26.\n4. Substitute d = l + 10 to j, which gives j = l + 36.\n5. Substitute l = f + 7 to j, which gives j = f + 43.\n6. Substitute f = 18 to j, which gives j = 61.\n\nThus, the final answer is j = \\boxed{61}.",
"index": 23652,
"question": "Suppose a collection of variables is related by the following definitions: r = s + 5; l = f + 7; f = 18; j = r + 1; u = p + 5; d = l + 10; c = n + 7; g = e + 12; s = y + 17; p = c + 13; e = f + 13; y = d + 3; n = g + 5. Given that f = 18, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"u": "f + 3", "j": "u + 20", "r": "j + 7", "b": "r + 18", "q": "b + 17", "o": "q + 7", "d": "f + 14", "c": "d + 6", "a": "c + 10", "g": "a + 12", "p": "g + 7", "h": "p + 5", "f": 18}, "premises": {"f": 18}, "target": "o"}, "answer": {"steps": [["q", "b + 17", "b + 24"], ["b", "r + 18", "r + 42"], ["r", "j + 7", "j + 49"], ["j", "u + 20", "u + 69"], ["u", "f + 3", "f + 72"], ["f", 18, "90"]], "target_var_name": "o", "target_value": 90, "value_dict": {"f": 18}, "is_reverse": true}}
| 23,653
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = r + 18; u = f + 3; f = 18; h = p + 5; r = j + 7; d = f + 14; j = u + 20; p = g + 7; q = b + 17; o = q + 7; c = d + 6; a = c + 10; g = a + 12. If f = 18, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 17 to o, which gives o = b + 24.\n2. Substitute b = r + 18 to o, which gives o = r + 42.\n3. Substitute r = j + 7 to o, which gives o = j + 49.\n4. Substitute j = u + 20 to o, which gives o = u + 69.\n5. Substitute u = f + 3 to o, which gives o = f + 72.\n6. Substitute f = 18 to o, which gives o = 90.\n\nThus, the final answer is o = \\boxed{90}.",
"index": 23653,
"question": "Consider a system of variables where each variable is defined as follows: b = r + 18; u = f + 3; f = 18; h = p + 5; r = j + 7; d = f + 14; j = u + 20; p = g + 7; q = b + 17; o = q + 7; c = d + 6; a = c + 10; g = a + 12. If f = 18, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"r": "p + 11", "d": "r + 2", "f": "d + 6", "e": "f + 8", "m": "e + 17", "a": "m + 20", "b": "p + 16", "l": "b + 10", "x": "l + 10", "c": "x + 3", "q": "c + 11", "y": "q + 19", "p": 5}, "premises": {"p": 5}, "target": "a"}, "answer": {"steps": [["m", "e + 17", "e + 37"], ["e", "f + 8", "f + 45"], ["f", "d + 6", "d + 51"], ["d", "r + 2", "r + 53"], ["r", "p + 11", "p + 64"], ["p", 5, "69"]], "target_var_name": "a", "target_value": 69, "value_dict": {"p": 5}, "is_reverse": true}}
| 23,654
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = m + 20; r = p + 11; x = l + 10; p = 5; f = d + 6; d = r + 2; e = f + 8; y = q + 19; c = x + 3; m = e + 17; b = p + 16; q = c + 11; l = b + 10. If p = 5, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 17 to a, which gives a = e + 37.\n2. Substitute e = f + 8 to a, which gives a = f + 45.\n3. Substitute f = d + 6 to a, which gives a = d + 51.\n4. Substitute d = r + 2 to a, which gives a = r + 53.\n5. Substitute r = p + 11 to a, which gives a = p + 64.\n6. Substitute p = 5 to a, which gives a = 69.\n\nThus, the final answer is a = \\boxed{69}.",
"index": 23654,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = m + 20; r = p + 11; x = l + 10; p = 5; f = d + 6; d = r + 2; e = f + 8; y = q + 19; c = x + 3; m = e + 17; b = p + 16; q = c + 11; l = b + 10. If p = 5, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"s": "t + 17", "i": "s + 12", "g": "i + 19", "a": "g + 19", "j": "a + 3", "m": "j + 3", "w": "t + 4", "f": "w + 12", "u": "f + 19", "o": "u + 9", "d": "o + 13", "h": "d + 14", "t": 19}, "premises": {"t": 19}, "target": "m"}, "answer": {"steps": [["j", "a + 3", "a + 6"], ["a", "g + 19", "g + 25"], ["g", "i + 19", "i + 44"], ["i", "s + 12", "s + 56"], ["s", "t + 17", "t + 73"], ["t", 19, "92"]], "target_var_name": "m", "target_value": 92, "value_dict": {"t": 19}, "is_reverse": true}}
| 23,655
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = j + 3; o = u + 9; u = f + 19; s = t + 17; d = o + 13; t = 19; a = g + 19; f = w + 12; j = a + 3; h = d + 14; i = s + 12; g = i + 19; w = t + 4. Given that t = 19, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 3 to m, which gives m = a + 6.\n2. Substitute a = g + 19 to m, which gives m = g + 25.\n3. Substitute g = i + 19 to m, which gives m = i + 44.\n4. Substitute i = s + 12 to m, which gives m = s + 56.\n5. Substitute s = t + 17 to m, which gives m = t + 73.\n6. Substitute t = 19 to m, which gives m = 92.\n\nThus, the final answer is m = \\boxed{92}.",
"index": 23655,
"question": "Suppose a collection of variables is related by the following definitions: m = j + 3; o = u + 9; u = f + 19; s = t + 17; d = o + 13; t = 19; a = g + 19; f = w + 12; j = a + 3; h = d + 14; i = s + 12; g = i + 19; w = t + 4. Given that t = 19, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"p": "l + 19", "a": "p + 2", "j": "a + 20", "h": "j + 17", "i": "h + 13", "e": "i + 14", "d": "l + 6", "f": "d + 1", "m": "f + 15", "q": "m + 16", "z": "q + 11", "v": "z + 19", "l": 14}, "premises": {"l": 14}, "target": "e"}, "answer": {"steps": [["i", "h + 13", "h + 27"], ["h", "j + 17", "j + 44"], ["j", "a + 20", "a + 64"], ["a", "p + 2", "p + 66"], ["p", "l + 19", "l + 85"], ["l", 14, "99"]], "target_var_name": "e", "target_value": 99, "value_dict": {"l": 14}, "is_reverse": true}}
| 23,656
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = a + 20; d = l + 6; z = q + 11; p = l + 19; e = i + 14; v = z + 19; a = p + 2; q = m + 16; m = f + 15; l = 14; i = h + 13; f = d + 1; h = j + 17. If l = 14, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 13 to e, which gives e = h + 27.\n2. Substitute h = j + 17 to e, which gives e = j + 44.\n3. Substitute j = a + 20 to e, which gives e = a + 64.\n4. Substitute a = p + 2 to e, which gives e = p + 66.\n5. Substitute p = l + 19 to e, which gives e = l + 85.\n6. Substitute l = 14 to e, which gives e = 99.\n\nThus, the final answer is e = \\boxed{99}.",
"index": 23656,
"question": "Consider a system of variables where each variable is defined as follows: j = a + 20; d = l + 6; z = q + 11; p = l + 19; e = i + 14; v = z + 19; a = p + 2; q = m + 16; m = f + 15; l = 14; i = h + 13; f = d + 1; h = j + 17. If l = 14, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"k": "f + 20", "e": "k + 13", "z": "e + 3", "a": "z + 8", "d": "a + 13", "x": "d + 13", "n": "f + 7", "r": "n + 6", "s": "r + 4", "o": "s + 16", "j": "o + 4", "l": "j + 4", "f": 6}, "premises": {"f": 6}, "target": "x"}, "answer": {"steps": [["d", "a + 13", "a + 26"], ["a", "z + 8", "z + 34"], ["z", "e + 3", "e + 37"], ["e", "k + 13", "k + 50"], ["k", "f + 20", "f + 70"], ["f", 6, "76"]], "target_var_name": "x", "target_value": 76, "value_dict": {"f": 6}, "is_reverse": true}}
| 23,657
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = r + 4; l = j + 4; a = z + 8; x = d + 13; d = a + 13; r = n + 6; n = f + 7; z = e + 3; k = f + 20; o = s + 16; j = o + 4; f = 6; e = k + 13. Given that f = 6, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 13 to x, which gives x = a + 26.\n2. Substitute a = z + 8 to x, which gives x = z + 34.\n3. Substitute z = e + 3 to x, which gives x = e + 37.\n4. Substitute e = k + 13 to x, which gives x = k + 50.\n5. Substitute k = f + 20 to x, which gives x = f + 70.\n6. Substitute f = 6 to x, which gives x = 76.\n\nThus, the final answer is x = \\boxed{76}.",
"index": 23657,
"question": "Suppose a collection of variables is related by the following definitions: s = r + 4; l = j + 4; a = z + 8; x = d + 13; d = a + 13; r = n + 6; n = f + 7; z = e + 3; k = f + 20; o = s + 16; j = o + 4; f = 6; e = k + 13. Given that f = 6, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"l": "n + 18", "q": "l + 6", "y": "q + 18", "b": "y + 11", "s": "b + 16", "g": "s + 4", "f": "n + 11", "m": "f + 13", "z": "m + 8", "a": "z + 6", "r": "a + 8", "d": "r + 19", "n": 11}, "premises": {"n": 11}, "target": "g"}, "answer": {"steps": [["s", "b + 16", "b + 20"], ["b", "y + 11", "y + 31"], ["y", "q + 18", "q + 49"], ["q", "l + 6", "l + 55"], ["l", "n + 18", "n + 73"], ["n", 11, "84"]], "target_var_name": "g", "target_value": 84, "value_dict": {"n": 11}, "is_reverse": true}}
| 23,658
| 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 = q + 18; q = l + 6; b = y + 11; d = r + 19; m = f + 13; s = b + 16; l = n + 18; g = s + 4; f = n + 11; n = 11; r = a + 8; a = z + 6; z = m + 8. If n = 11, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 16 to g, which gives g = b + 20.\n2. Substitute b = y + 11 to g, which gives g = y + 31.\n3. Substitute y = q + 18 to g, which gives g = q + 49.\n4. Substitute q = l + 6 to g, which gives g = l + 55.\n5. Substitute l = n + 18 to g, which gives g = n + 73.\n6. Substitute n = 11 to g, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 23658,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = q + 18; q = l + 6; b = y + 11; d = r + 19; m = f + 13; s = b + 16; l = n + 18; g = s + 4; f = n + 11; n = 11; r = a + 8; a = z + 6; z = m + 8. If n = 11, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"i": "z + 12", "o": "i + 8", "u": "o + 10", "k": "u + 16", "f": "k + 2", "g": "f + 7", "j": "z + 15", "a": "j + 13", "b": "a + 18", "d": "b + 4", "v": "d + 16", "q": "v + 4", "z": 2}, "premises": {"z": 2}, "target": "g"}, "answer": {"steps": [["f", "k + 2", "k + 9"], ["k", "u + 16", "u + 25"], ["u", "o + 10", "o + 35"], ["o", "i + 8", "i + 43"], ["i", "z + 12", "z + 55"], ["z", 2, "57"]], "target_var_name": "g", "target_value": 57, "value_dict": {"z": 2}, "is_reverse": true}}
| 23,659
| 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 = v + 4; u = o + 10; g = f + 7; k = u + 16; i = z + 12; v = d + 16; o = i + 8; b = a + 18; d = b + 4; z = 2; a = j + 13; f = k + 2; j = z + 15. If z = 2, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 2 to g, which gives g = k + 9.\n2. Substitute k = u + 16 to g, which gives g = u + 25.\n3. Substitute u = o + 10 to g, which gives g = o + 35.\n4. Substitute o = i + 8 to g, which gives g = i + 43.\n5. Substitute i = z + 12 to g, which gives g = z + 55.\n6. Substitute z = 2 to g, which gives g = 57.\n\nThus, the final answer is g = \\boxed{57}.",
"index": 23659,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = v + 4; u = o + 10; g = f + 7; k = u + 16; i = z + 12; v = d + 16; o = i + 8; b = a + 18; d = b + 4; z = 2; a = j + 13; f = k + 2; j = z + 15. If z = 2, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"h": "z + 14", "f": "h + 7", "m": "f + 7", "a": "m + 6", "c": "a + 13", "s": "c + 18", "k": "z + 17", "o": "k + 8", "n": "o + 10", "q": "n + 12", "v": "q + 12", "p": "v + 7", "z": 12}, "premises": {"z": 12}, "target": "s"}, "answer": {"steps": [["c", "a + 13", "a + 31"], ["a", "m + 6", "m + 37"], ["m", "f + 7", "f + 44"], ["f", "h + 7", "h + 51"], ["h", "z + 14", "z + 65"], ["z", 12, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"z": 12}, "is_reverse": true}}
| 23,660
| 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 = c + 18; o = k + 8; p = v + 7; a = m + 6; v = q + 12; h = z + 14; k = z + 17; z = 12; f = h + 7; n = o + 10; q = n + 12; c = a + 13; m = f + 7. If z = 12, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 13 to s, which gives s = a + 31.\n2. Substitute a = m + 6 to s, which gives s = m + 37.\n3. Substitute m = f + 7 to s, which gives s = f + 44.\n4. Substitute f = h + 7 to s, which gives s = h + 51.\n5. Substitute h = z + 14 to s, which gives s = z + 65.\n6. Substitute z = 12 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 23660,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = c + 18; o = k + 8; p = v + 7; a = m + 6; v = q + 12; h = z + 14; k = z + 17; z = 12; f = h + 7; n = o + 10; q = n + 12; c = a + 13; m = f + 7. If z = 12, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"n": "o + 19", "s": "n + 20", "q": "s + 13", "w": "q + 2", "m": "w + 19", "k": "m + 18", "c": "o + 19", "i": "c + 5", "r": "i + 10", "x": "r + 12", "f": "x + 2", "h": "f + 17", "o": 14}, "premises": {"o": 14}, "target": "k"}, "answer": {"steps": [["m", "w + 19", "w + 37"], ["w", "q + 2", "q + 39"], ["q", "s + 13", "s + 52"], ["s", "n + 20", "n + 72"], ["n", "o + 19", "o + 91"], ["o", 14, "105"]], "target_var_name": "k", "target_value": 105, "value_dict": {"o": 14}, "is_reverse": true}}
| 23,661
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = 14; i = c + 5; r = i + 10; k = m + 18; w = q + 2; s = n + 20; f = x + 2; c = o + 19; m = w + 19; x = r + 12; n = o + 19; h = f + 17; q = s + 13. If o = 14, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 19 to k, which gives k = w + 37.\n2. Substitute w = q + 2 to k, which gives k = q + 39.\n3. Substitute q = s + 13 to k, which gives k = s + 52.\n4. Substitute s = n + 20 to k, which gives k = n + 72.\n5. Substitute n = o + 19 to k, which gives k = o + 91.\n6. Substitute o = 14 to k, which gives k = 105.\n\nThus, the final answer is k = \\boxed{105}.",
"index": 23661,
"question": "Consider a system of variables where each variable is defined as follows: o = 14; i = c + 5; r = i + 10; k = m + 18; w = q + 2; s = n + 20; f = x + 2; c = o + 19; m = w + 19; x = r + 12; n = o + 19; h = f + 17; q = s + 13. If o = 14, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"y": "h + 14", "m": "y + 11", "z": "m + 10", "p": "z + 12", "o": "p + 15", "j": "o + 7", "e": "h + 15", "x": "e + 4", "f": "x + 15", "l": "f + 1", "g": "l + 5", "r": "g + 8", "h": 12}, "premises": {"h": 12}, "target": "j"}, "answer": {"steps": [["o", "p + 15", "p + 22"], ["p", "z + 12", "z + 34"], ["z", "m + 10", "m + 44"], ["m", "y + 11", "y + 55"], ["y", "h + 14", "h + 69"], ["h", 12, "81"]], "target_var_name": "j", "target_value": 81, "value_dict": {"h": 12}, "is_reverse": true}}
| 23,662
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = y + 11; l = f + 1; g = l + 5; f = x + 15; h = 12; r = g + 8; y = h + 14; o = p + 15; z = m + 10; j = o + 7; e = h + 15; x = e + 4; p = z + 12. If h = 12, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 15 to j, which gives j = p + 22.\n2. Substitute p = z + 12 to j, which gives j = z + 34.\n3. Substitute z = m + 10 to j, which gives j = m + 44.\n4. Substitute m = y + 11 to j, which gives j = y + 55.\n5. Substitute y = h + 14 to j, which gives j = h + 69.\n6. Substitute h = 12 to j, which gives j = 81.\n\nThus, the final answer is j = \\boxed{81}.",
"index": 23662,
"question": "Consider a system of variables where each variable is defined as follows: m = y + 11; l = f + 1; g = l + 5; f = x + 15; h = 12; r = g + 8; y = h + 14; o = p + 15; z = m + 10; j = o + 7; e = h + 15; x = e + 4; p = z + 12. If h = 12, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"c": "v + 8", "h": "c + 15", "i": "h + 13", "n": "i + 6", "f": "n + 18", "t": "f + 6", "y": "v + 15", "d": "y + 11", "z": "d + 15", "b": "z + 8", "m": "b + 9", "w": "m + 19", "v": 15}, "premises": {"v": 15}, "target": "t"}, "answer": {"steps": [["f", "n + 18", "n + 24"], ["n", "i + 6", "i + 30"], ["i", "h + 13", "h + 43"], ["h", "c + 15", "c + 58"], ["c", "v + 8", "v + 66"], ["v", 15, "81"]], "target_var_name": "t", "target_value": 81, "value_dict": {"v": 15}, "is_reverse": true}}
| 23,663
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = v + 8; w = m + 19; y = v + 15; h = c + 15; d = y + 11; z = d + 15; t = f + 6; n = i + 6; b = z + 8; f = n + 18; v = 15; i = h + 13; m = b + 9. Given that v = 15, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 18 to t, which gives t = n + 24.\n2. Substitute n = i + 6 to t, which gives t = i + 30.\n3. Substitute i = h + 13 to t, which gives t = h + 43.\n4. Substitute h = c + 15 to t, which gives t = c + 58.\n5. Substitute c = v + 8 to t, which gives t = v + 66.\n6. Substitute v = 15 to t, which gives t = 81.\n\nThus, the final answer is t = \\boxed{81}.",
"index": 23663,
"question": "Suppose a collection of variables is related by the following definitions: c = v + 8; w = m + 19; y = v + 15; h = c + 15; d = y + 11; z = d + 15; t = f + 6; n = i + 6; b = z + 8; f = n + 18; v = 15; i = h + 13; m = b + 9. Given that v = 15, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"l": "s + 5", "u": "l + 9", "d": "u + 7", "m": "d + 8", "b": "m + 20", "p": "b + 10", "c": "s + 4", "n": "c + 5", "r": "n + 9", "y": "r + 5", "z": "y + 5", "j": "z + 20", "s": 3}, "premises": {"s": 3}, "target": "p"}, "answer": {"steps": [["b", "m + 20", "m + 30"], ["m", "d + 8", "d + 38"], ["d", "u + 7", "u + 45"], ["u", "l + 9", "l + 54"], ["l", "s + 5", "s + 59"], ["s", 3, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"s": 3}, "is_reverse": true}}
| 23,664
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = d + 8; b = m + 20; p = b + 10; d = u + 7; j = z + 20; r = n + 9; y = r + 5; s = 3; n = c + 5; c = s + 4; u = l + 9; z = y + 5; l = s + 5. Given that s = 3, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 20 to p, which gives p = m + 30.\n2. Substitute m = d + 8 to p, which gives p = d + 38.\n3. Substitute d = u + 7 to p, which gives p = u + 45.\n4. Substitute u = l + 9 to p, which gives p = l + 54.\n5. Substitute l = s + 5 to p, which gives p = s + 59.\n6. Substitute s = 3 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 23664,
"question": "Suppose a collection of variables is related by the following definitions: m = d + 8; b = m + 20; p = b + 10; d = u + 7; j = z + 20; r = n + 9; y = r + 5; s = 3; n = c + 5; c = s + 4; u = l + 9; z = y + 5; l = s + 5. Given that s = 3, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"v": "x + 15", "n": "v + 10", "f": "n + 11", "k": "f + 9", "q": "k + 1", "m": "q + 20", "l": "x + 16", "d": "l + 8", "g": "d + 5", "h": "g + 10", "s": "h + 18", "o": "s + 6", "x": 3}, "premises": {"x": 3}, "target": "m"}, "answer": {"steps": [["q", "k + 1", "k + 21"], ["k", "f + 9", "f + 30"], ["f", "n + 11", "n + 41"], ["n", "v + 10", "v + 51"], ["v", "x + 15", "x + 66"], ["x", 3, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"x": 3}, "is_reverse": true}}
| 23,665
| 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 = n + 11; v = x + 15; k = f + 9; m = q + 20; n = v + 10; q = k + 1; h = g + 10; s = h + 18; o = s + 6; l = x + 16; x = 3; g = d + 5; d = l + 8. If x = 3, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 1 to m, which gives m = k + 21.\n2. Substitute k = f + 9 to m, which gives m = f + 30.\n3. Substitute f = n + 11 to m, which gives m = n + 41.\n4. Substitute n = v + 10 to m, which gives m = v + 51.\n5. Substitute v = x + 15 to m, which gives m = x + 66.\n6. Substitute x = 3 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 23665,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = n + 11; v = x + 15; k = f + 9; m = q + 20; n = v + 10; q = k + 1; h = g + 10; s = h + 18; o = s + 6; l = x + 16; x = 3; g = d + 5; d = l + 8. If x = 3, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"b": "t + 12", "c": "b + 12", "r": "c + 20", "d": "r + 19", "j": "d + 13", "v": "j + 19", "x": "t + 11", "u": "x + 5", "l": "u + 12", "o": "l + 2", "f": "o + 16", "m": "f + 13", "t": 7}, "premises": {"t": 7}, "target": "v"}, "answer": {"steps": [["j", "d + 13", "d + 32"], ["d", "r + 19", "r + 51"], ["r", "c + 20", "c + 71"], ["c", "b + 12", "b + 83"], ["b", "t + 12", "t + 95"], ["t", 7, "102"]], "target_var_name": "v", "target_value": 102, "value_dict": {"t": 7}, "is_reverse": true}}
| 23,666
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = f + 13; x = t + 11; f = o + 16; u = x + 5; b = t + 12; r = c + 20; j = d + 13; v = j + 19; l = u + 12; d = r + 19; t = 7; o = l + 2; c = b + 12. If t = 7, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 13 to v, which gives v = d + 32.\n2. Substitute d = r + 19 to v, which gives v = r + 51.\n3. Substitute r = c + 20 to v, which gives v = c + 71.\n4. Substitute c = b + 12 to v, which gives v = b + 83.\n5. Substitute b = t + 12 to v, which gives v = t + 95.\n6. Substitute t = 7 to v, which gives v = 102.\n\nThus, the final answer is v = \\boxed{102}.",
"index": 23666,
"question": "Consider a system of variables where each variable is defined as follows: m = f + 13; x = t + 11; f = o + 16; u = x + 5; b = t + 12; r = c + 20; j = d + 13; v = j + 19; l = u + 12; d = r + 19; t = 7; o = l + 2; c = b + 12. If t = 7, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"x": "y + 8", "m": "x + 7", "f": "m + 12", "o": "f + 11", "b": "o + 15", "q": "b + 4", "v": "y + 16", "d": "v + 20", "z": "d + 17", "p": "z + 8", "k": "p + 17", "c": "k + 1", "y": 4}, "premises": {"y": 4}, "target": "q"}, "answer": {"steps": [["b", "o + 15", "o + 19"], ["o", "f + 11", "f + 30"], ["f", "m + 12", "m + 42"], ["m", "x + 7", "x + 49"], ["x", "y + 8", "y + 57"], ["y", 4, "61"]], "target_var_name": "q", "target_value": 61, "value_dict": {"y": 4}, "is_reverse": true}}
| 23,667
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = y + 16; b = o + 15; m = x + 7; p = z + 8; y = 4; q = b + 4; c = k + 1; d = v + 20; x = y + 8; o = f + 11; z = d + 17; f = m + 12; k = p + 17. If y = 4, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 15 to q, which gives q = o + 19.\n2. Substitute o = f + 11 to q, which gives q = f + 30.\n3. Substitute f = m + 12 to q, which gives q = m + 42.\n4. Substitute m = x + 7 to q, which gives q = x + 49.\n5. Substitute x = y + 8 to q, which gives q = y + 57.\n6. Substitute y = 4 to q, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 23667,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = y + 16; b = o + 15; m = x + 7; p = z + 8; y = 4; q = b + 4; c = k + 1; d = v + 20; x = y + 8; o = f + 11; z = d + 17; f = m + 12; k = p + 17. If y = 4, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"b": "m + 18", "v": "b + 2", "k": "v + 17", "c": "k + 8", "p": "c + 1", "l": "p + 14", "s": "m + 6", "t": "s + 11", "f": "t + 4", "h": "f + 18", "d": "h + 13", "u": "d + 2", "m": 8}, "premises": {"m": 8}, "target": "l"}, "answer": {"steps": [["p", "c + 1", "c + 15"], ["c", "k + 8", "k + 23"], ["k", "v + 17", "v + 40"], ["v", "b + 2", "b + 42"], ["b", "m + 18", "m + 60"], ["m", 8, "68"]], "target_var_name": "l", "target_value": 68, "value_dict": {"m": 8}, "is_reverse": true}}
| 23,668
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = s + 11; c = k + 8; d = h + 13; f = t + 4; k = v + 17; m = 8; l = p + 14; h = f + 18; u = d + 2; s = m + 6; v = b + 2; b = m + 18; p = c + 1. Given that m = 8, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 1 to l, which gives l = c + 15.\n2. Substitute c = k + 8 to l, which gives l = k + 23.\n3. Substitute k = v + 17 to l, which gives l = v + 40.\n4. Substitute v = b + 2 to l, which gives l = b + 42.\n5. Substitute b = m + 18 to l, which gives l = m + 60.\n6. Substitute m = 8 to l, which gives l = 68.\n\nThus, the final answer is l = \\boxed{68}.",
"index": 23668,
"question": "Suppose a collection of variables is related by the following definitions: t = s + 11; c = k + 8; d = h + 13; f = t + 4; k = v + 17; m = 8; l = p + 14; h = f + 18; u = d + 2; s = m + 6; v = b + 2; b = m + 18; p = c + 1. Given that m = 8, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 9", "g": "i + 2", "u": "g + 13", "x": "u + 16", "w": "x + 17", "r": "w + 7", "y": "a + 9", "f": "y + 1", "m": "f + 6", "k": "m + 6", "h": "k + 15", "q": "h + 5", "a": 5}, "premises": {"a": 5}, "target": "r"}, "answer": {"steps": [["w", "x + 17", "x + 24"], ["x", "u + 16", "u + 40"], ["u", "g + 13", "g + 53"], ["g", "i + 2", "i + 55"], ["i", "a + 9", "a + 64"], ["a", 5, "69"]], "target_var_name": "r", "target_value": 69, "value_dict": {"a": 5}, "is_reverse": true}}
| 23,669
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = x + 17; q = h + 5; g = i + 2; a = 5; f = y + 1; u = g + 13; x = u + 16; y = a + 9; m = f + 6; i = a + 9; h = k + 15; k = m + 6; r = w + 7. If a = 5, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 17 to r, which gives r = x + 24.\n2. Substitute x = u + 16 to r, which gives r = u + 40.\n3. Substitute u = g + 13 to r, which gives r = g + 53.\n4. Substitute g = i + 2 to r, which gives r = i + 55.\n5. Substitute i = a + 9 to r, which gives r = a + 64.\n6. Substitute a = 5 to r, which gives r = 69.\n\nThus, the final answer is r = \\boxed{69}.",
"index": 23669,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = x + 17; q = h + 5; g = i + 2; a = 5; f = y + 1; u = g + 13; x = u + 16; y = a + 9; m = f + 6; i = a + 9; h = k + 15; k = m + 6; r = w + 7. If a = 5, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"f": "t + 2", "o": "f + 18", "n": "o + 13", "a": "n + 12", "e": "a + 8", "u": "e + 5", "l": "t + 12", "d": "l + 18", "m": "d + 7", "c": "m + 14", "x": "c + 18", "h": "x + 17", "t": 5}, "premises": {"t": 5}, "target": "u"}, "answer": {"steps": [["e", "a + 8", "a + 13"], ["a", "n + 12", "n + 25"], ["n", "o + 13", "o + 38"], ["o", "f + 18", "f + 56"], ["f", "t + 2", "t + 58"], ["t", 5, "63"]], "target_var_name": "u", "target_value": 63, "value_dict": {"t": 5}, "is_reverse": true}}
| 23,670
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = l + 18; f = t + 2; u = e + 5; t = 5; h = x + 17; l = t + 12; o = f + 18; a = n + 12; x = c + 18; c = m + 14; e = a + 8; n = o + 13; m = d + 7. Given that t = 5, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 8 to u, which gives u = a + 13.\n2. Substitute a = n + 12 to u, which gives u = n + 25.\n3. Substitute n = o + 13 to u, which gives u = o + 38.\n4. Substitute o = f + 18 to u, which gives u = f + 56.\n5. Substitute f = t + 2 to u, which gives u = t + 58.\n6. Substitute t = 5 to u, which gives u = 63.\n\nThus, the final answer is u = \\boxed{63}.",
"index": 23670,
"question": "Suppose a collection of variables is related by the following definitions: d = l + 18; f = t + 2; u = e + 5; t = 5; h = x + 17; l = t + 12; o = f + 18; a = n + 12; x = c + 18; c = m + 14; e = a + 8; n = o + 13; m = d + 7. Given that t = 5, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"q": "l + 13", "x": "q + 6", "b": "x + 7", "s": "b + 9", "v": "s + 7", "o": "v + 17", "j": "l + 13", "z": "j + 12", "t": "z + 5", "p": "t + 8", "u": "p + 11", "d": "u + 14", "l": 11}, "premises": {"l": 11}, "target": "o"}, "answer": {"steps": [["v", "s + 7", "s + 24"], ["s", "b + 9", "b + 33"], ["b", "x + 7", "x + 40"], ["x", "q + 6", "q + 46"], ["q", "l + 13", "l + 59"], ["l", 11, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"l": 11}, "is_reverse": true}}
| 23,671
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = l + 13; x = q + 6; d = u + 14; o = v + 17; p = t + 8; b = x + 7; z = j + 12; u = p + 11; t = z + 5; q = l + 13; v = s + 7; l = 11; s = b + 9. If l = 11, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 7 to o, which gives o = s + 24.\n2. Substitute s = b + 9 to o, which gives o = b + 33.\n3. Substitute b = x + 7 to o, which gives o = x + 40.\n4. Substitute x = q + 6 to o, which gives o = q + 46.\n5. Substitute q = l + 13 to o, which gives o = l + 59.\n6. Substitute l = 11 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 23671,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = l + 13; x = q + 6; d = u + 14; o = v + 17; p = t + 8; b = x + 7; z = j + 12; u = p + 11; t = z + 5; q = l + 13; v = s + 7; l = 11; s = b + 9. If l = 11, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"w": "k + 15", "o": "w + 19", "t": "o + 2", "m": "t + 15", "d": "m + 2", "e": "d + 18", "z": "k + 15", "a": "z + 12", "j": "a + 3", "u": "j + 19", "x": "u + 5", "v": "x + 14", "k": 9}, "premises": {"k": 9}, "target": "e"}, "answer": {"steps": [["d", "m + 2", "m + 20"], ["m", "t + 15", "t + 35"], ["t", "o + 2", "o + 37"], ["o", "w + 19", "w + 56"], ["w", "k + 15", "k + 71"], ["k", 9, "80"]], "target_var_name": "e", "target_value": 80, "value_dict": {"k": 9}, "is_reverse": true}}
| 23,672
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = m + 2; v = x + 14; e = d + 18; x = u + 5; o = w + 19; k = 9; a = z + 12; t = o + 2; m = t + 15; w = k + 15; z = k + 15; u = j + 19; j = a + 3. If k = 9, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 2 to e, which gives e = m + 20.\n2. Substitute m = t + 15 to e, which gives e = t + 35.\n3. Substitute t = o + 2 to e, which gives e = o + 37.\n4. Substitute o = w + 19 to e, which gives e = w + 56.\n5. Substitute w = k + 15 to e, which gives e = k + 71.\n6. Substitute k = 9 to e, which gives e = 80.\n\nThus, the final answer is e = \\boxed{80}.",
"index": 23672,
"question": "Consider a system of variables where each variable is defined as follows: d = m + 2; v = x + 14; e = d + 18; x = u + 5; o = w + 19; k = 9; a = z + 12; t = o + 2; m = t + 15; w = k + 15; z = k + 15; u = j + 19; j = a + 3. If k = 9, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"f": "x + 3", "o": "f + 1", "r": "o + 15", "c": "r + 20", "q": "c + 6", "n": "q + 11", "k": "x + 17", "y": "k + 20", "h": "y + 16", "p": "h + 13", "m": "p + 13", "w": "m + 17", "x": 1}, "premises": {"x": 1}, "target": "n"}, "answer": {"steps": [["q", "c + 6", "c + 17"], ["c", "r + 20", "r + 37"], ["r", "o + 15", "o + 52"], ["o", "f + 1", "f + 53"], ["f", "x + 3", "x + 56"], ["x", 1, "57"]], "target_var_name": "n", "target_value": 57, "value_dict": {"x": 1}, "is_reverse": true}}
| 23,673
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = 1; q = c + 6; m = p + 13; p = h + 13; w = m + 17; y = k + 20; f = x + 3; o = f + 1; r = o + 15; k = x + 17; n = q + 11; c = r + 20; h = y + 16. Given that x = 1, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 6 to n, which gives n = c + 17.\n2. Substitute c = r + 20 to n, which gives n = r + 37.\n3. Substitute r = o + 15 to n, which gives n = o + 52.\n4. Substitute o = f + 1 to n, which gives n = f + 53.\n5. Substitute f = x + 3 to n, which gives n = x + 56.\n6. Substitute x = 1 to n, which gives n = 57.\n\nThus, the final answer is n = \\boxed{57}.",
"index": 23673,
"question": "Suppose a collection of variables is related by the following definitions: x = 1; q = c + 6; m = p + 13; p = h + 13; w = m + 17; y = k + 20; f = x + 3; o = f + 1; r = o + 15; k = x + 17; n = q + 11; c = r + 20; h = y + 16. Given that x = 1, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"t": "o + 6", "j": "t + 19", "y": "j + 13", "f": "y + 10", "n": "f + 9", "k": "n + 7", "v": "o + 6", "p": "v + 16", "z": "p + 15", "s": "z + 19", "i": "s + 14", "d": "i + 1", "o": 16}, "premises": {"o": 16}, "target": "k"}, "answer": {"steps": [["n", "f + 9", "f + 16"], ["f", "y + 10", "y + 26"], ["y", "j + 13", "j + 39"], ["j", "t + 19", "t + 58"], ["t", "o + 6", "o + 64"], ["o", 16, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"o": 16}, "is_reverse": true}}
| 23,674
| 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 = z + 19; y = j + 13; t = o + 6; d = i + 1; i = s + 14; z = p + 15; v = o + 6; j = t + 19; f = y + 10; n = f + 9; p = v + 16; o = 16; k = n + 7. If o = 16, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 9 to k, which gives k = f + 16.\n2. Substitute f = y + 10 to k, which gives k = y + 26.\n3. Substitute y = j + 13 to k, which gives k = j + 39.\n4. Substitute j = t + 19 to k, which gives k = t + 58.\n5. Substitute t = o + 6 to k, which gives k = o + 64.\n6. Substitute o = 16 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 23674,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = z + 19; y = j + 13; t = o + 6; d = i + 1; i = s + 14; z = p + 15; v = o + 6; j = t + 19; f = y + 10; n = f + 9; p = v + 16; o = 16; k = n + 7. If o = 16, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"f": "g + 14", "e": "f + 12", "w": "e + 7", "i": "w + 19", "j": "i + 10", "h": "j + 12", "a": "g + 7", "k": "a + 15", "m": "k + 17", "v": "m + 20", "o": "v + 1", "y": "o + 15", "g": 16}, "premises": {"g": 16}, "target": "h"}, "answer": {"steps": [["j", "i + 10", "i + 22"], ["i", "w + 19", "w + 41"], ["w", "e + 7", "e + 48"], ["e", "f + 12", "f + 60"], ["f", "g + 14", "g + 74"], ["g", 16, "90"]], "target_var_name": "h", "target_value": 90, "value_dict": {"g": 16}, "is_reverse": true}}
| 23,675
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = g + 7; g = 16; y = o + 15; j = i + 10; i = w + 19; f = g + 14; w = e + 7; o = v + 1; k = a + 15; v = m + 20; e = f + 12; m = k + 17; h = j + 12. If g = 16, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 10 to h, which gives h = i + 22.\n2. Substitute i = w + 19 to h, which gives h = w + 41.\n3. Substitute w = e + 7 to h, which gives h = e + 48.\n4. Substitute e = f + 12 to h, which gives h = f + 60.\n5. Substitute f = g + 14 to h, which gives h = g + 74.\n6. Substitute g = 16 to h, which gives h = 90.\n\nThus, the final answer is h = \\boxed{90}.",
"index": 23675,
"question": "Consider a system of variables where each variable is defined as follows: a = g + 7; g = 16; y = o + 15; j = i + 10; i = w + 19; f = g + 14; w = e + 7; o = v + 1; k = a + 15; v = m + 20; e = f + 12; m = k + 17; h = j + 12. If g = 16, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"r": "h + 20", "l": "r + 8", "b": "l + 20", "m": "b + 9", "c": "m + 3", "a": "c + 7", "i": "h + 8", "q": "i + 20", "n": "q + 12", "s": "n + 10", "g": "s + 4", "w": "g + 5", "h": 19}, "premises": {"h": 19}, "target": "a"}, "answer": {"steps": [["c", "m + 3", "m + 10"], ["m", "b + 9", "b + 19"], ["b", "l + 20", "l + 39"], ["l", "r + 8", "r + 47"], ["r", "h + 20", "h + 67"], ["h", 19, "86"]], "target_var_name": "a", "target_value": 86, "value_dict": {"h": 19}, "is_reverse": true}}
| 23,676
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = s + 4; h = 19; w = g + 5; r = h + 20; a = c + 7; c = m + 3; m = b + 9; i = h + 8; s = n + 10; b = l + 20; q = i + 20; l = r + 8; n = q + 12. If h = 19, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 3 to a, which gives a = m + 10.\n2. Substitute m = b + 9 to a, which gives a = b + 19.\n3. Substitute b = l + 20 to a, which gives a = l + 39.\n4. Substitute l = r + 8 to a, which gives a = r + 47.\n5. Substitute r = h + 20 to a, which gives a = h + 67.\n6. Substitute h = 19 to a, which gives a = 86.\n\nThus, the final answer is a = \\boxed{86}.",
"index": 23676,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = s + 4; h = 19; w = g + 5; r = h + 20; a = c + 7; c = m + 3; m = b + 9; i = h + 8; s = n + 10; b = l + 20; q = i + 20; l = r + 8; n = q + 12. If h = 19, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"r": "a + 17", "h": "r + 7", "i": "h + 17", "k": "i + 6", "l": "k + 3", "w": "l + 18", "z": "a + 10", "u": "z + 11", "y": "u + 7", "o": "y + 20", "q": "o + 14", "f": "q + 2", "a": 8}, "premises": {"a": 8}, "target": "w"}, "answer": {"steps": [["l", "k + 3", "k + 21"], ["k", "i + 6", "i + 27"], ["i", "h + 17", "h + 44"], ["h", "r + 7", "r + 51"], ["r", "a + 17", "a + 68"], ["a", 8, "76"]], "target_var_name": "w", "target_value": 76, "value_dict": {"a": 8}, "is_reverse": true}}
| 23,677
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = a + 17; a = 8; f = q + 2; h = r + 7; y = u + 7; q = o + 14; u = z + 11; l = k + 3; i = h + 17; w = l + 18; k = i + 6; z = a + 10; o = y + 20. Given that a = 8, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 3 to w, which gives w = k + 21.\n2. Substitute k = i + 6 to w, which gives w = i + 27.\n3. Substitute i = h + 17 to w, which gives w = h + 44.\n4. Substitute h = r + 7 to w, which gives w = r + 51.\n5. Substitute r = a + 17 to w, which gives w = a + 68.\n6. Substitute a = 8 to w, which gives w = 76.\n\nThus, the final answer is w = \\boxed{76}.",
"index": 23677,
"question": "Suppose a collection of variables is related by the following definitions: r = a + 17; a = 8; f = q + 2; h = r + 7; y = u + 7; q = o + 14; u = z + 11; l = k + 3; i = h + 17; w = l + 18; k = i + 6; z = a + 10; o = y + 20. Given that a = 8, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"l": "d + 20", "x": "l + 19", "h": "x + 18", "b": "h + 10", "g": "b + 9", "r": "g + 19", "n": "d + 14", "z": "n + 14", "j": "z + 1", "i": "j + 2", "y": "i + 19", "w": "y + 14", "d": 20}, "premises": {"d": 20}, "target": "r"}, "answer": {"steps": [["g", "b + 9", "b + 28"], ["b", "h + 10", "h + 38"], ["h", "x + 18", "x + 56"], ["x", "l + 19", "l + 75"], ["l", "d + 20", "d + 95"], ["d", 20, "115"]], "target_var_name": "r", "target_value": 115, "value_dict": {"d": 20}, "is_reverse": true}}
| 23,678
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = b + 9; n = d + 14; d = 20; x = l + 19; r = g + 19; y = i + 19; i = j + 2; z = n + 14; b = h + 10; h = x + 18; w = y + 14; j = z + 1; l = d + 20. If d = 20, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 115,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 9 to r, which gives r = b + 28.\n2. Substitute b = h + 10 to r, which gives r = h + 38.\n3. Substitute h = x + 18 to r, which gives r = x + 56.\n4. Substitute x = l + 19 to r, which gives r = l + 75.\n5. Substitute l = d + 20 to r, which gives r = d + 95.\n6. Substitute d = 20 to r, which gives r = 115.\n\nThus, the final answer is r = \\boxed{115}.",
"index": 23678,
"question": "Consider a system of variables where each variable is defined as follows: g = b + 9; n = d + 14; d = 20; x = l + 19; r = g + 19; y = i + 19; i = j + 2; z = n + 14; b = h + 10; h = x + 18; w = y + 14; j = z + 1; l = d + 20. If d = 20, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"m": "h + 13", "j": "m + 4", "g": "j + 11", "d": "g + 17", "c": "d + 2", "u": "c + 5", "w": "h + 17", "y": "w + 8", "b": "y + 14", "x": "b + 11", "t": "x + 14", "z": "t + 7", "h": 8}, "premises": {"h": 8}, "target": "u"}, "answer": {"steps": [["c", "d + 2", "d + 7"], ["d", "g + 17", "g + 24"], ["g", "j + 11", "j + 35"], ["j", "m + 4", "m + 39"], ["m", "h + 13", "h + 52"], ["h", 8, "60"]], "target_var_name": "u", "target_value": 60, "value_dict": {"h": 8}, "is_reverse": true}}
| 23,679
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 4; z = t + 7; g = j + 11; d = g + 17; w = h + 17; m = h + 13; x = b + 11; c = d + 2; b = y + 14; u = c + 5; y = w + 8; h = 8; t = x + 14. If h = 8, what is the resulting 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 c = d + 2 to u, which gives u = d + 7.\n2. Substitute d = g + 17 to u, which gives u = g + 24.\n3. Substitute g = j + 11 to u, which gives u = j + 35.\n4. Substitute j = m + 4 to u, which gives u = m + 39.\n5. Substitute m = h + 13 to u, which gives u = h + 52.\n6. Substitute h = 8 to u, which gives u = 60.\n\nThus, the final answer is u = \\boxed{60}.",
"index": 23679,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 4; z = t + 7; g = j + 11; d = g + 17; w = h + 17; m = h + 13; x = b + 11; c = d + 2; b = y + 14; u = c + 5; y = w + 8; h = 8; t = x + 14. If h = 8, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"v": "s + 2", "a": "v + 18", "n": "a + 20", "i": "n + 9", "e": "i + 16", "k": "e + 13", "q": "s + 2", "y": "q + 19", "w": "y + 18", "u": "w + 2", "z": "u + 6", "h": "z + 20", "s": 20}, "premises": {"s": 20}, "target": "k"}, "answer": {"steps": [["e", "i + 16", "i + 29"], ["i", "n + 9", "n + 38"], ["n", "a + 20", "a + 58"], ["a", "v + 18", "v + 76"], ["v", "s + 2", "s + 78"], ["s", 20, "98"]], "target_var_name": "k", "target_value": 98, "value_dict": {"s": 20}, "is_reverse": true}}
| 23,680
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = q + 19; q = s + 2; v = s + 2; z = u + 6; h = z + 20; n = a + 20; i = n + 9; k = e + 13; a = v + 18; e = i + 16; s = 20; u = w + 2; w = y + 18. Given that s = 20, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 16 to k, which gives k = i + 29.\n2. Substitute i = n + 9 to k, which gives k = n + 38.\n3. Substitute n = a + 20 to k, which gives k = a + 58.\n4. Substitute a = v + 18 to k, which gives k = v + 76.\n5. Substitute v = s + 2 to k, which gives k = s + 78.\n6. Substitute s = 20 to k, which gives k = 98.\n\nThus, the final answer is k = \\boxed{98}.",
"index": 23680,
"question": "Suppose a collection of variables is related by the following definitions: y = q + 19; q = s + 2; v = s + 2; z = u + 6; h = z + 20; n = a + 20; i = n + 9; k = e + 13; a = v + 18; e = i + 16; s = 20; u = w + 2; w = y + 18. Given that s = 20, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"l": "n + 12", "f": "l + 17", "v": "f + 4", "d": "v + 9", "y": "d + 11", "e": "y + 11", "p": "n + 6", "c": "p + 15", "z": "c + 12", "r": "z + 19", "j": "r + 15", "h": "j + 1", "n": 4}, "premises": {"n": 4}, "target": "e"}, "answer": {"steps": [["y", "d + 11", "d + 22"], ["d", "v + 9", "v + 31"], ["v", "f + 4", "f + 35"], ["f", "l + 17", "l + 52"], ["l", "n + 12", "n + 64"], ["n", 4, "68"]], "target_var_name": "e", "target_value": 68, "value_dict": {"n": 4}, "is_reverse": true}}
| 23,681
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = 4; p = n + 6; e = y + 11; y = d + 11; l = n + 12; v = f + 4; j = r + 15; h = j + 1; d = v + 9; z = c + 12; c = p + 15; r = z + 19; f = l + 17. Given that n = 4, 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 y = d + 11 to e, which gives e = d + 22.\n2. Substitute d = v + 9 to e, which gives e = v + 31.\n3. Substitute v = f + 4 to e, which gives e = f + 35.\n4. Substitute f = l + 17 to e, which gives e = l + 52.\n5. Substitute l = n + 12 to e, which gives e = n + 64.\n6. Substitute n = 4 to e, which gives e = 68.\n\nThus, the final answer is e = \\boxed{68}.",
"index": 23681,
"question": "Suppose a collection of variables is related by the following definitions: n = 4; p = n + 6; e = y + 11; y = d + 11; l = n + 12; v = f + 4; j = r + 15; h = j + 1; d = v + 9; z = c + 12; c = p + 15; r = z + 19; f = l + 17. Given that n = 4, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"k": "h + 18", "p": "k + 2", "t": "p + 1", "y": "t + 5", "j": "y + 6", "u": "j + 11", "c": "h + 8", "a": "c + 10", "i": "a + 17", "f": "i + 15", "l": "f + 14", "s": "l + 15", "h": 2}, "premises": {"h": 2}, "target": "u"}, "answer": {"steps": [["j", "y + 6", "y + 17"], ["y", "t + 5", "t + 22"], ["t", "p + 1", "p + 23"], ["p", "k + 2", "k + 25"], ["k", "h + 18", "h + 43"], ["h", 2, "45"]], "target_var_name": "u", "target_value": 45, "value_dict": {"h": 2}, "is_reverse": true}}
| 23,682
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = l + 15; y = t + 5; f = i + 15; p = k + 2; j = y + 6; i = a + 17; c = h + 8; k = h + 18; l = f + 14; h = 2; a = c + 10; u = j + 11; t = p + 1. If h = 2, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 6 to u, which gives u = y + 17.\n2. Substitute y = t + 5 to u, which gives u = t + 22.\n3. Substitute t = p + 1 to u, which gives u = p + 23.\n4. Substitute p = k + 2 to u, which gives u = k + 25.\n5. Substitute k = h + 18 to u, which gives u = h + 43.\n6. Substitute h = 2 to u, which gives u = 45.\n\nThus, the final answer is u = \\boxed{45}.",
"index": 23682,
"question": "Consider a system of variables where each variable is defined as follows: s = l + 15; y = t + 5; f = i + 15; p = k + 2; j = y + 6; i = a + 17; c = h + 8; k = h + 18; l = f + 14; h = 2; a = c + 10; u = j + 11; t = p + 1. If h = 2, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"a": "v + 9", "b": "a + 1", "z": "b + 10", "k": "z + 18", "u": "k + 9", "n": "u + 20", "l": "v + 18", "r": "l + 18", "y": "r + 14", "e": "y + 18", "q": "e + 17", "o": "q + 12", "v": 19}, "premises": {"v": 19}, "target": "n"}, "answer": {"steps": [["u", "k + 9", "k + 29"], ["k", "z + 18", "z + 47"], ["z", "b + 10", "b + 57"], ["b", "a + 1", "a + 58"], ["a", "v + 9", "v + 67"], ["v", 19, "86"]], "target_var_name": "n", "target_value": 86, "value_dict": {"v": 19}, "is_reverse": true}}
| 23,683
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = l + 18; n = u + 20; u = k + 9; z = b + 10; b = a + 1; v = 19; o = q + 12; e = y + 18; y = r + 14; a = v + 9; k = z + 18; q = e + 17; l = v + 18. Given that v = 19, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 9 to n, which gives n = k + 29.\n2. Substitute k = z + 18 to n, which gives n = z + 47.\n3. Substitute z = b + 10 to n, which gives n = b + 57.\n4. Substitute b = a + 1 to n, which gives n = a + 58.\n5. Substitute a = v + 9 to n, which gives n = v + 67.\n6. Substitute v = 19 to n, which gives n = 86.\n\nThus, the final answer is n = \\boxed{86}.",
"index": 23683,
"question": "Suppose a collection of variables is related by the following definitions: r = l + 18; n = u + 20; u = k + 9; z = b + 10; b = a + 1; v = 19; o = q + 12; e = y + 18; y = r + 14; a = v + 9; k = z + 18; q = e + 17; l = v + 18. Given that v = 19, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"j": "x + 4", "g": "j + 14", "q": "g + 16", "h": "q + 17", "k": "h + 13", "w": "k + 13", "o": "x + 7", "z": "o + 2", "s": "z + 12", "r": "s + 19", "e": "r + 20", "a": "e + 19", "x": 12}, "premises": {"x": 12}, "target": "w"}, "answer": {"steps": [["k", "h + 13", "h + 26"], ["h", "q + 17", "q + 43"], ["q", "g + 16", "g + 59"], ["g", "j + 14", "j + 73"], ["j", "x + 4", "x + 77"], ["x", 12, "89"]], "target_var_name": "w", "target_value": 89, "value_dict": {"x": 12}, "is_reverse": true}}
| 23,684
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = z + 12; x = 12; g = j + 14; w = k + 13; h = q + 17; e = r + 20; j = x + 4; z = o + 2; o = x + 7; a = e + 19; k = h + 13; q = g + 16; r = s + 19. If x = 12, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 13 to w, which gives w = h + 26.\n2. Substitute h = q + 17 to w, which gives w = q + 43.\n3. Substitute q = g + 16 to w, which gives w = g + 59.\n4. Substitute g = j + 14 to w, which gives w = j + 73.\n5. Substitute j = x + 4 to w, which gives w = x + 77.\n6. Substitute x = 12 to w, which gives w = 89.\n\nThus, the final answer is w = \\boxed{89}.",
"index": 23684,
"question": "Consider a system of variables where each variable is defined as follows: s = z + 12; x = 12; g = j + 14; w = k + 13; h = q + 17; e = r + 20; j = x + 4; z = o + 2; o = x + 7; a = e + 19; k = h + 13; q = g + 16; r = s + 19. If x = 12, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"y": "z + 20", "d": "y + 13", "n": "d + 2", "j": "n + 20", "u": "j + 7", "p": "u + 3", "w": "z + 7", "r": "w + 5", "i": "r + 4", "m": "i + 14", "o": "m + 20", "h": "o + 5", "z": 18}, "premises": {"z": 18}, "target": "p"}, "answer": {"steps": [["u", "j + 7", "j + 10"], ["j", "n + 20", "n + 30"], ["n", "d + 2", "d + 32"], ["d", "y + 13", "y + 45"], ["y", "z + 20", "z + 65"], ["z", 18, "83"]], "target_var_name": "p", "target_value": 83, "value_dict": {"z": 18}, "is_reverse": true}}
| 23,685
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = d + 2; w = z + 7; d = y + 13; i = r + 4; h = o + 5; p = u + 3; j = n + 20; z = 18; m = i + 14; o = m + 20; u = j + 7; y = z + 20; r = w + 5. If z = 18, determine 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 u = j + 7 to p, which gives p = j + 10.\n2. Substitute j = n + 20 to p, which gives p = n + 30.\n3. Substitute n = d + 2 to p, which gives p = d + 32.\n4. Substitute d = y + 13 to p, which gives p = y + 45.\n5. Substitute y = z + 20 to p, which gives p = z + 65.\n6. Substitute z = 18 to p, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 23685,
"question": "Consider a system of variables where each variable is defined as follows: n = d + 2; w = z + 7; d = y + 13; i = r + 4; h = o + 5; p = u + 3; j = n + 20; z = 18; m = i + 14; o = m + 20; u = j + 7; y = z + 20; r = w + 5. If z = 18, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"s": "q + 2", "v": "s + 19", "b": "v + 15", "x": "b + 2", "d": "x + 7", "o": "d + 12", "t": "q + 4", "k": "t + 4", "c": "k + 6", "z": "c + 20", "y": "z + 14", "r": "y + 3", "q": 20}, "premises": {"q": 20}, "target": "o"}, "answer": {"steps": [["d", "x + 7", "x + 19"], ["x", "b + 2", "b + 21"], ["b", "v + 15", "v + 36"], ["v", "s + 19", "s + 55"], ["s", "q + 2", "q + 57"], ["q", 20, "77"]], "target_var_name": "o", "target_value": 77, "value_dict": {"q": 20}, "is_reverse": true}}
| 23,686
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = y + 3; d = x + 7; z = c + 20; y = z + 14; v = s + 19; o = d + 12; t = q + 4; q = 20; b = v + 15; s = q + 2; c = k + 6; x = b + 2; k = t + 4. If q = 20, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = x + 7 to o, which gives o = x + 19.\n2. Substitute x = b + 2 to o, which gives o = b + 21.\n3. Substitute b = v + 15 to o, which gives o = v + 36.\n4. Substitute v = s + 19 to o, which gives o = s + 55.\n5. Substitute s = q + 2 to o, which gives o = q + 57.\n6. Substitute q = 20 to o, which gives o = 77.\n\nThus, the final answer is o = \\boxed{77}.",
"index": 23686,
"question": "Consider a system of variables where each variable is defined as follows: r = y + 3; d = x + 7; z = c + 20; y = z + 14; v = s + 19; o = d + 12; t = q + 4; q = 20; b = v + 15; s = q + 2; c = k + 6; x = b + 2; k = t + 4. If q = 20, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"c": "d + 4", "v": "c + 9", "m": "v + 2", "j": "m + 6", "p": "j + 6", "q": "p + 6", "l": "d + 3", "e": "l + 11", "o": "e + 17", "r": "o + 15", "w": "r + 7", "n": "w + 7", "d": 9}, "premises": {"d": 9}, "target": "q"}, "answer": {"steps": [["p", "j + 6", "j + 12"], ["j", "m + 6", "m + 18"], ["m", "v + 2", "v + 20"], ["v", "c + 9", "c + 29"], ["c", "d + 4", "d + 33"], ["d", 9, "42"]], "target_var_name": "q", "target_value": 42, "value_dict": {"d": 9}, "is_reverse": true}}
| 23,687
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = c + 9; p = j + 6; j = m + 6; q = p + 6; d = 9; w = r + 7; o = e + 17; r = o + 15; e = l + 11; n = w + 7; l = d + 3; c = d + 4; m = v + 2. Given that d = 9, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 6 to q, which gives q = j + 12.\n2. Substitute j = m + 6 to q, which gives q = m + 18.\n3. Substitute m = v + 2 to q, which gives q = v + 20.\n4. Substitute v = c + 9 to q, which gives q = c + 29.\n5. Substitute c = d + 4 to q, which gives q = d + 33.\n6. Substitute d = 9 to q, which gives q = 42.\n\nThus, the final answer is q = \\boxed{42}.",
"index": 23687,
"question": "Suppose a collection of variables is related by the following definitions: v = c + 9; p = j + 6; j = m + 6; q = p + 6; d = 9; w = r + 7; o = e + 17; r = o + 15; e = l + 11; n = w + 7; l = d + 3; c = d + 4; m = v + 2. Given that d = 9, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"k": "z + 9", "n": "k + 12", "r": "n + 5", "e": "r + 14", "j": "e + 20", "l": "j + 10", "d": "z + 6", "g": "d + 1", "p": "g + 1", "y": "p + 14", "w": "y + 12", "t": "w + 10", "z": 15}, "premises": {"z": 15}, "target": "l"}, "answer": {"steps": [["j", "e + 20", "e + 30"], ["e", "r + 14", "r + 44"], ["r", "n + 5", "n + 49"], ["n", "k + 12", "k + 61"], ["k", "z + 9", "z + 70"], ["z", 15, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"z": 15}, "is_reverse": true}}
| 23,688
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = p + 14; e = r + 14; r = n + 5; n = k + 12; g = d + 1; j = e + 20; t = w + 10; w = y + 12; z = 15; k = z + 9; l = j + 10; d = z + 6; p = g + 1. Given that z = 15, find 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 j = e + 20 to l, which gives l = e + 30.\n2. Substitute e = r + 14 to l, which gives l = r + 44.\n3. Substitute r = n + 5 to l, which gives l = n + 49.\n4. Substitute n = k + 12 to l, which gives l = k + 61.\n5. Substitute k = z + 9 to l, which gives l = z + 70.\n6. Substitute z = 15 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 23688,
"question": "Suppose a collection of variables is related by the following definitions: y = p + 14; e = r + 14; r = n + 5; n = k + 12; g = d + 1; j = e + 20; t = w + 10; w = y + 12; z = 15; k = z + 9; l = j + 10; d = z + 6; p = g + 1. Given that z = 15, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"a": "z + 19", "y": "a + 7", "w": "y + 14", "p": "w + 3", "o": "p + 15", "h": "o + 2", "k": "z + 20", "l": "k + 5", "q": "l + 6", "v": "q + 7", "u": "v + 20", "b": "u + 6", "z": 14}, "premises": {"z": 14}, "target": "h"}, "answer": {"steps": [["o", "p + 15", "p + 17"], ["p", "w + 3", "w + 20"], ["w", "y + 14", "y + 34"], ["y", "a + 7", "a + 41"], ["a", "z + 19", "z + 60"], ["z", 14, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"z": 14}, "is_reverse": true}}
| 23,689
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = q + 7; p = w + 3; o = p + 15; y = a + 7; z = 14; b = u + 6; u = v + 20; k = z + 20; q = l + 6; l = k + 5; h = o + 2; a = z + 19; w = y + 14. If z = 14, determine 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 o = p + 15 to h, which gives h = p + 17.\n2. Substitute p = w + 3 to h, which gives h = w + 20.\n3. Substitute w = y + 14 to h, which gives h = y + 34.\n4. Substitute y = a + 7 to h, which gives h = a + 41.\n5. Substitute a = z + 19 to h, which gives h = z + 60.\n6. Substitute z = 14 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 23689,
"question": "Consider a system of variables where each variable is defined as follows: v = q + 7; p = w + 3; o = p + 15; y = a + 7; z = 14; b = u + 6; u = v + 20; k = z + 20; q = l + 6; l = k + 5; h = o + 2; a = z + 19; w = y + 14. If z = 14, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"z": "t + 18", "h": "z + 9", "d": "h + 15", "f": "d + 6", "x": "f + 20", "u": "x + 12", "n": "t + 2", "e": "n + 9", "a": "e + 17", "p": "a + 12", "v": "p + 5", "j": "v + 18", "t": 19}, "premises": {"t": 19}, "target": "u"}, "answer": {"steps": [["x", "f + 20", "f + 32"], ["f", "d + 6", "d + 38"], ["d", "h + 15", "h + 53"], ["h", "z + 9", "z + 62"], ["z", "t + 18", "t + 80"], ["t", 19, "99"]], "target_var_name": "u", "target_value": 99, "value_dict": {"t": 19}, "is_reverse": true}}
| 23,690
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 18; v = p + 5; n = t + 2; t = 19; e = n + 9; h = z + 9; p = a + 12; x = f + 20; a = e + 17; d = h + 15; u = x + 12; z = t + 18; f = d + 6. If t = 19, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 20 to u, which gives u = f + 32.\n2. Substitute f = d + 6 to u, which gives u = d + 38.\n3. Substitute d = h + 15 to u, which gives u = h + 53.\n4. Substitute h = z + 9 to u, which gives u = z + 62.\n5. Substitute z = t + 18 to u, which gives u = t + 80.\n6. Substitute t = 19 to u, which gives u = 99.\n\nThus, the final answer is u = \\boxed{99}.",
"index": 23690,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 18; v = p + 5; n = t + 2; t = 19; e = n + 9; h = z + 9; p = a + 12; x = f + 20; a = e + 17; d = h + 15; u = x + 12; z = t + 18; f = d + 6. If t = 19, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"l": "n + 19", "p": "l + 5", "w": "p + 14", "f": "w + 8", "t": "f + 16", "y": "t + 4", "o": "n + 6", "r": "o + 11", "k": "r + 20", "z": "k + 7", "v": "z + 14", "x": "v + 12", "n": 1}, "premises": {"n": 1}, "target": "y"}, "answer": {"steps": [["t", "f + 16", "f + 20"], ["f", "w + 8", "w + 28"], ["w", "p + 14", "p + 42"], ["p", "l + 5", "l + 47"], ["l", "n + 19", "n + 66"], ["n", 1, "67"]], "target_var_name": "y", "target_value": 67, "value_dict": {"n": 1}, "is_reverse": true}}
| 23,691
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = z + 14; p = l + 5; t = f + 16; z = k + 7; n = 1; y = t + 4; k = r + 20; o = n + 6; r = o + 11; f = w + 8; x = v + 12; l = n + 19; w = p + 14. Given that n = 1, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = f + 16 to y, which gives y = f + 20.\n2. Substitute f = w + 8 to y, which gives y = w + 28.\n3. Substitute w = p + 14 to y, which gives y = p + 42.\n4. Substitute p = l + 5 to y, which gives y = l + 47.\n5. Substitute l = n + 19 to y, which gives y = n + 66.\n6. Substitute n = 1 to y, which gives y = 67.\n\nThus, the final answer is y = \\boxed{67}.",
"index": 23691,
"question": "Suppose a collection of variables is related by the following definitions: v = z + 14; p = l + 5; t = f + 16; z = k + 7; n = 1; y = t + 4; k = r + 20; o = n + 6; r = o + 11; f = w + 8; x = v + 12; l = n + 19; w = p + 14. Given that n = 1, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"r": "x + 16", "i": "r + 17", "b": "i + 8", "u": "b + 10", "o": "u + 14", "t": "o + 9", "g": "x + 18", "v": "g + 18", "e": "v + 17", "z": "e + 10", "q": "z + 10", "n": "q + 17", "x": 7}, "premises": {"x": 7}, "target": "t"}, "answer": {"steps": [["o", "u + 14", "u + 23"], ["u", "b + 10", "b + 33"], ["b", "i + 8", "i + 41"], ["i", "r + 17", "r + 58"], ["r", "x + 16", "x + 74"], ["x", 7, "81"]], "target_var_name": "t", "target_value": 81, "value_dict": {"x": 7}, "is_reverse": true}}
| 23,692
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = x + 16; t = o + 9; x = 7; z = e + 10; g = x + 18; q = z + 10; o = u + 14; n = q + 17; e = v + 17; u = b + 10; b = i + 8; v = g + 18; i = r + 17. If x = 7, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 14 to t, which gives t = u + 23.\n2. Substitute u = b + 10 to t, which gives t = b + 33.\n3. Substitute b = i + 8 to t, which gives t = i + 41.\n4. Substitute i = r + 17 to t, which gives t = r + 58.\n5. Substitute r = x + 16 to t, which gives t = x + 74.\n6. Substitute x = 7 to t, which gives t = 81.\n\nThus, the final answer is t = \\boxed{81}.",
"index": 23692,
"question": "Consider a system of variables where each variable is defined as follows: r = x + 16; t = o + 9; x = 7; z = e + 10; g = x + 18; q = z + 10; o = u + 14; n = q + 17; e = v + 17; u = b + 10; b = i + 8; v = g + 18; i = r + 17. If x = 7, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"m": "o + 6", "k": "m + 11", "f": "k + 13", "p": "f + 20", "i": "p + 17", "j": "i + 11", "w": "o + 7", "x": "w + 5", "n": "x + 11", "y": "n + 20", "t": "y + 1", "v": "t + 13", "o": 15}, "premises": {"o": 15}, "target": "j"}, "answer": {"steps": [["i", "p + 17", "p + 28"], ["p", "f + 20", "f + 48"], ["f", "k + 13", "k + 61"], ["k", "m + 11", "m + 72"], ["m", "o + 6", "o + 78"], ["o", 15, "93"]], "target_var_name": "j", "target_value": 93, "value_dict": {"o": 15}, "is_reverse": true}}
| 23,693
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = y + 1; v = t + 13; i = p + 17; x = w + 5; o = 15; p = f + 20; n = x + 11; k = m + 11; m = o + 6; y = n + 20; j = i + 11; w = o + 7; f = k + 13. If o = 15, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 17 to j, which gives j = p + 28.\n2. Substitute p = f + 20 to j, which gives j = f + 48.\n3. Substitute f = k + 13 to j, which gives j = k + 61.\n4. Substitute k = m + 11 to j, which gives j = m + 72.\n5. Substitute m = o + 6 to j, which gives j = o + 78.\n6. Substitute o = 15 to j, which gives j = 93.\n\nThus, the final answer is j = \\boxed{93}.",
"index": 23693,
"question": "Consider a system of variables where each variable is defined as follows: t = y + 1; v = t + 13; i = p + 17; x = w + 5; o = 15; p = f + 20; n = x + 11; k = m + 11; m = o + 6; y = n + 20; j = i + 11; w = o + 7; f = k + 13. If o = 15, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"r": "x + 15", "k": "r + 16", "v": "k + 16", "j": "v + 14", "y": "j + 7", "z": "y + 15", "m": "x + 5", "d": "m + 19", "p": "d + 13", "w": "p + 8", "f": "w + 3", "g": "f + 13", "x": 6}, "premises": {"x": 6}, "target": "z"}, "answer": {"steps": [["y", "j + 7", "j + 22"], ["j", "v + 14", "v + 36"], ["v", "k + 16", "k + 52"], ["k", "r + 16", "r + 68"], ["r", "x + 15", "x + 83"], ["x", 6, "89"]], "target_var_name": "z", "target_value": 89, "value_dict": {"x": 6}, "is_reverse": true}}
| 23,694
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = d + 13; w = p + 8; g = f + 13; k = r + 16; f = w + 3; z = y + 15; y = j + 7; r = x + 15; m = x + 5; v = k + 16; j = v + 14; x = 6; d = m + 19. Given that x = 6, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 7 to z, which gives z = j + 22.\n2. Substitute j = v + 14 to z, which gives z = v + 36.\n3. Substitute v = k + 16 to z, which gives z = k + 52.\n4. Substitute k = r + 16 to z, which gives z = r + 68.\n5. Substitute r = x + 15 to z, which gives z = x + 83.\n6. Substitute x = 6 to z, which gives z = 89.\n\nThus, the final answer is z = \\boxed{89}.",
"index": 23694,
"question": "Suppose a collection of variables is related by the following definitions: p = d + 13; w = p + 8; g = f + 13; k = r + 16; f = w + 3; z = y + 15; y = j + 7; r = x + 15; m = x + 5; v = k + 16; j = v + 14; x = 6; d = m + 19. Given that x = 6, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"w": "q + 8", "c": "w + 13", "y": "c + 10", "j": "y + 15", "h": "j + 12", "o": "h + 3", "d": "q + 6", "p": "d + 16", "u": "p + 6", "s": "u + 19", "t": "s + 9", "e": "t + 10", "q": 13}, "premises": {"q": 13}, "target": "o"}, "answer": {"steps": [["h", "j + 12", "j + 15"], ["j", "y + 15", "y + 30"], ["y", "c + 10", "c + 40"], ["c", "w + 13", "w + 53"], ["w", "q + 8", "q + 61"], ["q", 13, "74"]], "target_var_name": "o", "target_value": 74, "value_dict": {"q": 13}, "is_reverse": true}}
| 23,695
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = q + 8; c = w + 13; s = u + 19; e = t + 10; o = h + 3; j = y + 15; t = s + 9; y = c + 10; u = p + 6; h = j + 12; d = q + 6; p = d + 16; q = 13. If q = 13, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 12 to o, which gives o = j + 15.\n2. Substitute j = y + 15 to o, which gives o = y + 30.\n3. Substitute y = c + 10 to o, which gives o = c + 40.\n4. Substitute c = w + 13 to o, which gives o = w + 53.\n5. Substitute w = q + 8 to o, which gives o = q + 61.\n6. Substitute q = 13 to o, which gives o = 74.\n\nThus, the final answer is o = \\boxed{74}.",
"index": 23695,
"question": "Consider a system of variables where each variable is defined as follows: w = q + 8; c = w + 13; s = u + 19; e = t + 10; o = h + 3; j = y + 15; t = s + 9; y = c + 10; u = p + 6; h = j + 12; d = q + 6; p = d + 16; q = 13. If q = 13, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"b": "l + 2", "g": "b + 19", "m": "g + 11", "o": "m + 11", "c": "o + 12", "h": "c + 7", "r": "l + 4", "k": "r + 20", "f": "k + 10", "a": "f + 20", "u": "a + 7", "z": "u + 3", "l": 1}, "premises": {"l": 1}, "target": "h"}, "answer": {"steps": [["c", "o + 12", "o + 19"], ["o", "m + 11", "m + 30"], ["m", "g + 11", "g + 41"], ["g", "b + 19", "b + 60"], ["b", "l + 2", "l + 62"], ["l", 1, "63"]], "target_var_name": "h", "target_value": 63, "value_dict": {"l": 1}, "is_reverse": true}}
| 23,696
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = l + 4; u = a + 7; o = m + 11; b = l + 2; f = k + 10; m = g + 11; h = c + 7; l = 1; k = r + 20; g = b + 19; c = o + 12; a = f + 20; z = u + 3. Given that l = 1, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 12 to h, which gives h = o + 19.\n2. Substitute o = m + 11 to h, which gives h = m + 30.\n3. Substitute m = g + 11 to h, which gives h = g + 41.\n4. Substitute g = b + 19 to h, which gives h = b + 60.\n5. Substitute b = l + 2 to h, which gives h = l + 62.\n6. Substitute l = 1 to h, which gives h = 63.\n\nThus, the final answer is h = \\boxed{63}.",
"index": 23696,
"question": "Suppose a collection of variables is related by the following definitions: r = l + 4; u = a + 7; o = m + 11; b = l + 2; f = k + 10; m = g + 11; h = c + 7; l = 1; k = r + 20; g = b + 19; c = o + 12; a = f + 20; z = u + 3. Given that l = 1, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"e": "k + 4", "v": "e + 6", "w": "v + 16", "g": "w + 3", "t": "g + 5", "q": "t + 12", "l": "k + 9", "n": "l + 5", "x": "n + 8", "s": "x + 14", "h": "s + 12", "i": "h + 8", "k": 9}, "premises": {"k": 9}, "target": "q"}, "answer": {"steps": [["t", "g + 5", "g + 17"], ["g", "w + 3", "w + 20"], ["w", "v + 16", "v + 36"], ["v", "e + 6", "e + 42"], ["e", "k + 4", "k + 46"], ["k", 9, "55"]], "target_var_name": "q", "target_value": 55, "value_dict": {"k": 9}, "is_reverse": true}}
| 23,697
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = v + 16; t = g + 5; k = 9; v = e + 6; g = w + 3; x = n + 8; l = k + 9; i = h + 8; n = l + 5; e = k + 4; h = s + 12; s = x + 14; q = t + 12. If k = 9, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 5 to q, which gives q = g + 17.\n2. Substitute g = w + 3 to q, which gives q = w + 20.\n3. Substitute w = v + 16 to q, which gives q = v + 36.\n4. Substitute v = e + 6 to q, which gives q = e + 42.\n5. Substitute e = k + 4 to q, which gives q = k + 46.\n6. Substitute k = 9 to q, which gives q = 55.\n\nThus, the final answer is q = \\boxed{55}.",
"index": 23697,
"question": "Consider a system of variables where each variable is defined as follows: w = v + 16; t = g + 5; k = 9; v = e + 6; g = w + 3; x = n + 8; l = k + 9; i = h + 8; n = l + 5; e = k + 4; h = s + 12; s = x + 14; q = t + 12. If k = 9, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"o": "i + 17", "z": "o + 15", "t": "z + 19", "c": "t + 9", "j": "c + 6", "k": "j + 8", "d": "i + 18", "r": "d + 3", "e": "r + 13", "v": "e + 17", "q": "v + 14", "m": "q + 17", "i": 4}, "premises": {"i": 4}, "target": "k"}, "answer": {"steps": [["j", "c + 6", "c + 14"], ["c", "t + 9", "t + 23"], ["t", "z + 19", "z + 42"], ["z", "o + 15", "o + 57"], ["o", "i + 17", "i + 74"], ["i", 4, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"i": 4}, "is_reverse": true}}
| 23,698
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = 4; z = o + 15; t = z + 19; q = v + 14; k = j + 8; r = d + 3; d = i + 18; e = r + 13; v = e + 17; m = q + 17; c = t + 9; j = c + 6; o = i + 17. If i = 4, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 6 to k, which gives k = c + 14.\n2. Substitute c = t + 9 to k, which gives k = t + 23.\n3. Substitute t = z + 19 to k, which gives k = z + 42.\n4. Substitute z = o + 15 to k, which gives k = o + 57.\n5. Substitute o = i + 17 to k, which gives k = i + 74.\n6. Substitute i = 4 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 23698,
"question": "Consider a system of variables where each variable is defined as follows: i = 4; z = o + 15; t = z + 19; q = v + 14; k = j + 8; r = d + 3; d = i + 18; e = r + 13; v = e + 17; m = q + 17; c = t + 9; j = c + 6; o = i + 17. If i = 4, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 3", "u": "e + 15", "v": "u + 6", "a": "v + 1", "t": "a + 9", "h": "t + 9", "s": "d + 19", "b": "s + 18", "w": "b + 19", "y": "w + 11", "x": "y + 15", "r": "x + 8", "d": 13}, "premises": {"d": 13}, "target": "h"}, "answer": {"steps": [["t", "a + 9", "a + 18"], ["a", "v + 1", "v + 19"], ["v", "u + 6", "u + 25"], ["u", "e + 15", "e + 40"], ["e", "d + 3", "d + 43"], ["d", 13, "56"]], "target_var_name": "h", "target_value": 56, "value_dict": {"d": 13}, "is_reverse": true}}
| 23,699
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = w + 11; t = a + 9; e = d + 3; r = x + 8; b = s + 18; w = b + 19; x = y + 15; v = u + 6; h = t + 9; d = 13; a = v + 1; u = e + 15; s = d + 19. Given that d = 13, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 9 to h, which gives h = a + 18.\n2. Substitute a = v + 1 to h, which gives h = v + 19.\n3. Substitute v = u + 6 to h, which gives h = u + 25.\n4. Substitute u = e + 15 to h, which gives h = e + 40.\n5. Substitute e = d + 3 to h, which gives h = d + 43.\n6. Substitute d = 13 to h, which gives h = 56.\n\nThus, the final answer is h = \\boxed{56}.",
"index": 23699,
"question": "Suppose a collection of variables is related by the following definitions: y = w + 11; t = a + 9; e = d + 3; r = x + 8; b = s + 18; w = b + 19; x = y + 15; v = u + 6; h = t + 9; d = 13; a = v + 1; u = e + 15; s = d + 19. Given that d = 13, find the value of h.",
"split": "train"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.