meta
stringlengths 493
517
| id
int64 0
25.6k
| problem_solution_idx
int64 0
0
| world_id
stringclasses 1
value | data_source
stringclasses 1
value | prompt
listlengths 1
1
| ability
stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"h": "y + 3", "a": "h + 1", "j": "a + 16", "k": "j + 7", "p": "k + 14", "z": "p + 9", "x": "y + 12", "b": "x + 7", "g": "b + 2", "l": "g + 2", "u": "l + 3", "i": "u + 12", "y": 14}, "premises": {"y": 14}, "target": "z"}, "answer": {"steps": [["p", "k + 14", "k + 23"], ["k", "j + 7", "j + 30"], ["j", "a + 16", "a + 46"], ["a", "h + 1", "h + 47"], ["h", "y + 3", "y + 50"], ["y", 14, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"y": 14}, "is_reverse": true}}
| 1,400
| 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 + 16; p = k + 14; z = p + 9; b = x + 7; i = u + 12; y = 14; g = b + 2; k = j + 7; a = h + 1; x = y + 12; u = l + 3; l = g + 2; h = y + 3. If y = 14, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 14 to z, which gives z = k + 23.\n2. Substitute k = j + 7 to z, which gives z = j + 30.\n3. Substitute j = a + 16 to z, which gives z = a + 46.\n4. Substitute a = h + 1 to z, which gives z = h + 47.\n5. Substitute h = y + 3 to z, which gives z = y + 50.\n6. Substitute y = 14 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 1400,
"question": "Consider a system of variables where each variable is defined as follows: j = a + 16; p = k + 14; z = p + 9; b = x + 7; i = u + 12; y = 14; g = b + 2; k = j + 7; a = h + 1; x = y + 12; u = l + 3; l = g + 2; h = y + 3. If y = 14, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"q": "a + 19", "y": "q + 16", "h": "y + 5", "c": "h + 4", "p": "c + 12", "b": "p + 18", "n": "a + 3", "x": "n + 19", "w": "x + 17", "m": "w + 6", "d": "m + 19", "k": "d + 9", "a": 12}, "premises": {"a": 12}, "target": "b"}, "answer": {"steps": [["p", "c + 12", "c + 30"], ["c", "h + 4", "h + 34"], ["h", "y + 5", "y + 39"], ["y", "q + 16", "q + 55"], ["q", "a + 19", "a + 74"], ["a", 12, "86"]], "target_var_name": "b", "target_value": 86, "value_dict": {"a": 12}, "is_reverse": true}}
| 1,401
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = a + 3; b = p + 18; q = a + 19; c = h + 4; d = m + 19; h = y + 5; a = 12; p = c + 12; k = d + 9; y = q + 16; x = n + 19; w = x + 17; m = w + 6. Given that a = 12, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 12 to b, which gives b = c + 30.\n2. Substitute c = h + 4 to b, which gives b = h + 34.\n3. Substitute h = y + 5 to b, which gives b = y + 39.\n4. Substitute y = q + 16 to b, which gives b = q + 55.\n5. Substitute q = a + 19 to b, which gives b = a + 74.\n6. Substitute a = 12 to b, which gives b = 86.\n\nThus, the final answer is b = \\boxed{86}.",
"index": 1401,
"question": "Suppose a collection of variables is related by the following definitions: n = a + 3; b = p + 18; q = a + 19; c = h + 4; d = m + 19; h = y + 5; a = 12; p = c + 12; k = d + 9; y = q + 16; x = n + 19; w = x + 17; m = w + 6. Given that a = 12, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"t": "m + 15", "p": "t + 18", "s": "p + 20", "k": "s + 3", "i": "k + 20", "w": "i + 15", "x": "m + 16", "y": "x + 17", "v": "y + 19", "f": "v + 10", "q": "f + 8", "l": "q + 10", "m": 11}, "premises": {"m": 11}, "target": "w"}, "answer": {"steps": [["i", "k + 20", "k + 35"], ["k", "s + 3", "s + 38"], ["s", "p + 20", "p + 58"], ["p", "t + 18", "t + 76"], ["t", "m + 15", "m + 91"], ["m", 11, "102"]], "target_var_name": "w", "target_value": 102, "value_dict": {"m": 11}, "is_reverse": true}}
| 1,402
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = s + 3; f = v + 10; i = k + 20; v = y + 19; l = q + 10; y = x + 17; p = t + 18; w = i + 15; t = m + 15; x = m + 16; m = 11; q = f + 8; s = p + 20. If m = 11, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 20 to w, which gives w = k + 35.\n2. Substitute k = s + 3 to w, which gives w = s + 38.\n3. Substitute s = p + 20 to w, which gives w = p + 58.\n4. Substitute p = t + 18 to w, which gives w = t + 76.\n5. Substitute t = m + 15 to w, which gives w = m + 91.\n6. Substitute m = 11 to w, which gives w = 102.\n\nThus, the final answer is w = \\boxed{102}.",
"index": 1402,
"question": "Consider a system of variables where each variable is defined as follows: k = s + 3; f = v + 10; i = k + 20; v = y + 19; l = q + 10; y = x + 17; p = t + 18; w = i + 15; t = m + 15; x = m + 16; m = 11; q = f + 8; s = p + 20. If m = 11, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"b": "u + 11", "m": "b + 8", "r": "m + 11", "t": "r + 20", "w": "t + 15", "l": "w + 7", "j": "u + 12", "f": "j + 5", "a": "f + 8", "i": "a + 2", "d": "i + 1", "s": "d + 20", "u": 16}, "premises": {"u": 16}, "target": "l"}, "answer": {"steps": [["w", "t + 15", "t + 22"], ["t", "r + 20", "r + 42"], ["r", "m + 11", "m + 53"], ["m", "b + 8", "b + 61"], ["b", "u + 11", "u + 72"], ["u", 16, "88"]], "target_var_name": "l", "target_value": 88, "value_dict": {"u": 16}, "is_reverse": true}}
| 1,403
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = u + 11; r = m + 11; u = 16; j = u + 12; m = b + 8; s = d + 20; t = r + 20; l = w + 7; i = a + 2; a = f + 8; d = i + 1; f = j + 5; w = t + 15. Given that u = 16, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 15 to l, which gives l = t + 22.\n2. Substitute t = r + 20 to l, which gives l = r + 42.\n3. Substitute r = m + 11 to l, which gives l = m + 53.\n4. Substitute m = b + 8 to l, which gives l = b + 61.\n5. Substitute b = u + 11 to l, which gives l = u + 72.\n6. Substitute u = 16 to l, which gives l = 88.\n\nThus, the final answer is l = \\boxed{88}.",
"index": 1403,
"question": "Suppose a collection of variables is related by the following definitions: b = u + 11; r = m + 11; u = 16; j = u + 12; m = b + 8; s = d + 20; t = r + 20; l = w + 7; i = a + 2; a = f + 8; d = i + 1; f = j + 5; w = t + 15. Given that u = 16, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"s": "r + 2", "v": "s + 17", "k": "v + 1", "t": "k + 5", "m": "t + 18", "u": "m + 2", "h": "r + 12", "y": "h + 6", "b": "y + 20", "f": "b + 14", "p": "f + 18", "q": "p + 17", "r": 6}, "premises": {"r": 6}, "target": "u"}, "answer": {"steps": [["m", "t + 18", "t + 20"], ["t", "k + 5", "k + 25"], ["k", "v + 1", "v + 26"], ["v", "s + 17", "s + 43"], ["s", "r + 2", "r + 45"], ["r", 6, "51"]], "target_var_name": "u", "target_value": 51, "value_dict": {"r": 6}, "is_reverse": true}}
| 1,404
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = f + 18; t = k + 5; k = v + 1; h = r + 12; b = y + 20; r = 6; u = m + 2; q = p + 17; v = s + 17; y = h + 6; f = b + 14; s = r + 2; m = t + 18. If r = 6, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 18 to u, which gives u = t + 20.\n2. Substitute t = k + 5 to u, which gives u = k + 25.\n3. Substitute k = v + 1 to u, which gives u = v + 26.\n4. Substitute v = s + 17 to u, which gives u = s + 43.\n5. Substitute s = r + 2 to u, which gives u = r + 45.\n6. Substitute r = 6 to u, which gives u = 51.\n\nThus, the final answer is u = \\boxed{51}.",
"index": 1404,
"question": "Consider a system of variables where each variable is defined as follows: p = f + 18; t = k + 5; k = v + 1; h = r + 12; b = y + 20; r = 6; u = m + 2; q = p + 17; v = s + 17; y = h + 6; f = b + 14; s = r + 2; m = t + 18. If r = 6, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"c": "v + 12", "s": "c + 6", "w": "s + 8", "r": "w + 1", "o": "r + 12", "x": "o + 12", "q": "v + 5", "g": "q + 13", "k": "g + 16", "h": "k + 7", "y": "h + 13", "l": "y + 14", "v": 16}, "premises": {"v": 16}, "target": "x"}, "answer": {"steps": [["o", "r + 12", "r + 24"], ["r", "w + 1", "w + 25"], ["w", "s + 8", "s + 33"], ["s", "c + 6", "c + 39"], ["c", "v + 12", "v + 51"], ["v", 16, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"v": 16}, "is_reverse": true}}
| 1,405
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = c + 6; o = r + 12; r = w + 1; v = 16; q = v + 5; w = s + 8; l = y + 14; y = h + 13; c = v + 12; h = k + 7; k = g + 16; x = o + 12; g = q + 13. Given that v = 16, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 12 to x, which gives x = r + 24.\n2. Substitute r = w + 1 to x, which gives x = w + 25.\n3. Substitute w = s + 8 to x, which gives x = s + 33.\n4. Substitute s = c + 6 to x, which gives x = c + 39.\n5. Substitute c = v + 12 to x, which gives x = v + 51.\n6. Substitute v = 16 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 1405,
"question": "Suppose a collection of variables is related by the following definitions: s = c + 6; o = r + 12; r = w + 1; v = 16; q = v + 5; w = s + 8; l = y + 14; y = h + 13; c = v + 12; h = k + 7; k = g + 16; x = o + 12; g = q + 13. Given that v = 16, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"c": "t + 15", "g": "c + 13", "o": "g + 7", "e": "o + 5", "i": "e + 11", "b": "i + 8", "v": "t + 20", "d": "v + 15", "u": "d + 10", "f": "u + 14", "l": "f + 13", "k": "l + 19", "t": 5}, "premises": {"t": 5}, "target": "b"}, "answer": {"steps": [["i", "e + 11", "e + 19"], ["e", "o + 5", "o + 24"], ["o", "g + 7", "g + 31"], ["g", "c + 13", "c + 44"], ["c", "t + 15", "t + 59"], ["t", 5, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"t": 5}, "is_reverse": true}}
| 1,406
| 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 = t + 20; o = g + 7; g = c + 13; l = f + 13; e = o + 5; t = 5; u = d + 10; d = v + 15; f = u + 14; i = e + 11; k = l + 19; c = t + 15; b = i + 8. If t = 5, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 11 to b, which gives b = e + 19.\n2. Substitute e = o + 5 to b, which gives b = o + 24.\n3. Substitute o = g + 7 to b, which gives b = g + 31.\n4. Substitute g = c + 13 to b, which gives b = c + 44.\n5. Substitute c = t + 15 to b, which gives b = t + 59.\n6. Substitute t = 5 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 1406,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 20; o = g + 7; g = c + 13; l = f + 13; e = o + 5; t = 5; u = d + 10; d = v + 15; f = u + 14; i = e + 11; k = l + 19; c = t + 15; b = i + 8. If t = 5, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"q": "b + 10", "r": "q + 16", "e": "r + 6", "x": "e + 8", "v": "x + 7", "p": "v + 12", "n": "b + 3", "c": "n + 18", "l": "c + 2", "t": "l + 1", "m": "t + 20", "h": "m + 7", "b": 14}, "premises": {"b": 14}, "target": "p"}, "answer": {"steps": [["v", "x + 7", "x + 19"], ["x", "e + 8", "e + 27"], ["e", "r + 6", "r + 33"], ["r", "q + 16", "q + 49"], ["q", "b + 10", "b + 59"], ["b", 14, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"b": 14}, "is_reverse": true}}
| 1,407
| 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 = n + 18; v = x + 7; r = q + 16; p = v + 12; t = l + 1; e = r + 6; l = c + 2; m = t + 20; h = m + 7; x = e + 8; q = b + 10; n = b + 3; b = 14. If b = 14, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 7 to p, which gives p = x + 19.\n2. Substitute x = e + 8 to p, which gives p = e + 27.\n3. Substitute e = r + 6 to p, which gives p = r + 33.\n4. Substitute r = q + 16 to p, which gives p = q + 49.\n5. Substitute q = b + 10 to p, which gives p = b + 59.\n6. Substitute b = 14 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 1407,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 18; v = x + 7; r = q + 16; p = v + 12; t = l + 1; e = r + 6; l = c + 2; m = t + 20; h = m + 7; x = e + 8; q = b + 10; n = b + 3; b = 14. If b = 14, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"e": "c + 1", "l": "e + 18", "d": "l + 4", "a": "d + 1", "q": "a + 11", "p": "q + 14", "n": "c + 3", "o": "n + 10", "h": "o + 6", "j": "h + 7", "u": "j + 11", "s": "u + 3", "c": 20}, "premises": {"c": 20}, "target": "p"}, "answer": {"steps": [["q", "a + 11", "a + 25"], ["a", "d + 1", "d + 26"], ["d", "l + 4", "l + 30"], ["l", "e + 18", "e + 48"], ["e", "c + 1", "c + 49"], ["c", 20, "69"]], "target_var_name": "p", "target_value": 69, "value_dict": {"c": 20}, "is_reverse": true}}
| 1,408
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = j + 11; j = h + 7; q = a + 11; e = c + 1; d = l + 4; c = 20; s = u + 3; p = q + 14; l = e + 18; a = d + 1; h = o + 6; o = n + 10; n = c + 3. Given that c = 20, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 11 to p, which gives p = a + 25.\n2. Substitute a = d + 1 to p, which gives p = d + 26.\n3. Substitute d = l + 4 to p, which gives p = l + 30.\n4. Substitute l = e + 18 to p, which gives p = e + 48.\n5. Substitute e = c + 1 to p, which gives p = c + 49.\n6. Substitute c = 20 to p, which gives p = 69.\n\nThus, the final answer is p = \\boxed{69}.",
"index": 1408,
"question": "Suppose a collection of variables is related by the following definitions: u = j + 11; j = h + 7; q = a + 11; e = c + 1; d = l + 4; c = 20; s = u + 3; p = q + 14; l = e + 18; a = d + 1; h = o + 6; o = n + 10; n = c + 3. Given that c = 20, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"z": "n + 1", "t": "z + 1", "k": "t + 11", "d": "k + 19", "q": "d + 18", "x": "q + 10", "m": "n + 12", "e": "m + 7", "s": "e + 2", "a": "s + 15", "v": "a + 1", "b": "v + 7", "n": 7}, "premises": {"n": 7}, "target": "x"}, "answer": {"steps": [["q", "d + 18", "d + 28"], ["d", "k + 19", "k + 47"], ["k", "t + 11", "t + 58"], ["t", "z + 1", "z + 59"], ["z", "n + 1", "n + 60"], ["n", 7, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"n": 7}, "is_reverse": true}}
| 1,409
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = n + 1; k = t + 11; a = s + 15; m = n + 12; s = e + 2; e = m + 7; n = 7; v = a + 1; b = v + 7; t = z + 1; q = d + 18; x = q + 10; d = k + 19. Given that n = 7, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 18 to x, which gives x = d + 28.\n2. Substitute d = k + 19 to x, which gives x = k + 47.\n3. Substitute k = t + 11 to x, which gives x = t + 58.\n4. Substitute t = z + 1 to x, which gives x = z + 59.\n5. Substitute z = n + 1 to x, which gives x = n + 60.\n6. Substitute n = 7 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 1409,
"question": "Suppose a collection of variables is related by the following definitions: z = n + 1; k = t + 11; a = s + 15; m = n + 12; s = e + 2; e = m + 7; n = 7; v = a + 1; b = v + 7; t = z + 1; q = d + 18; x = q + 10; d = k + 19. Given that n = 7, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"j": "u + 5", "n": "j + 3", "d": "n + 8", "p": "d + 20", "a": "p + 1", "l": "a + 2", "i": "u + 2", "b": "i + 9", "x": "b + 13", "g": "x + 19", "q": "g + 15", "z": "q + 8", "u": 4}, "premises": {"u": 4}, "target": "l"}, "answer": {"steps": [["a", "p + 1", "p + 3"], ["p", "d + 20", "d + 23"], ["d", "n + 8", "n + 31"], ["n", "j + 3", "j + 34"], ["j", "u + 5", "u + 39"], ["u", 4, "43"]], "target_var_name": "l", "target_value": 43, "value_dict": {"u": 4}, "is_reverse": true}}
| 1,410
| 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 = p + 1; p = d + 20; z = q + 8; q = g + 15; b = i + 9; d = n + 8; u = 4; x = b + 13; j = u + 5; l = a + 2; i = u + 2; n = j + 3; g = x + 19. If u = 4, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 1 to l, which gives l = p + 3.\n2. Substitute p = d + 20 to l, which gives l = d + 23.\n3. Substitute d = n + 8 to l, which gives l = n + 31.\n4. Substitute n = j + 3 to l, which gives l = j + 34.\n5. Substitute j = u + 5 to l, which gives l = u + 39.\n6. Substitute u = 4 to l, which gives l = 43.\n\nThus, the final answer is l = \\boxed{43}.",
"index": 1410,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 1; p = d + 20; z = q + 8; q = g + 15; b = i + 9; d = n + 8; u = 4; x = b + 13; j = u + 5; l = a + 2; i = u + 2; n = j + 3; g = x + 19. If u = 4, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"k": "i + 3", "j": "k + 4", "r": "j + 18", "e": "r + 7", "l": "e + 8", "p": "l + 5", "n": "i + 6", "a": "n + 18", "v": "a + 18", "s": "v + 19", "u": "s + 13", "q": "u + 18", "i": 2}, "premises": {"i": 2}, "target": "p"}, "answer": {"steps": [["l", "e + 8", "e + 13"], ["e", "r + 7", "r + 20"], ["r", "j + 18", "j + 38"], ["j", "k + 4", "k + 42"], ["k", "i + 3", "i + 45"], ["i", 2, "47"]], "target_var_name": "p", "target_value": 47, "value_dict": {"i": 2}, "is_reverse": true}}
| 1,411
| 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 = u + 18; a = n + 18; l = e + 8; n = i + 6; s = v + 19; r = j + 18; v = a + 18; j = k + 4; p = l + 5; e = r + 7; k = i + 3; i = 2; u = s + 13. If i = 2, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 8 to p, which gives p = e + 13.\n2. Substitute e = r + 7 to p, which gives p = r + 20.\n3. Substitute r = j + 18 to p, which gives p = j + 38.\n4. Substitute j = k + 4 to p, which gives p = k + 42.\n5. Substitute k = i + 3 to p, which gives p = i + 45.\n6. Substitute i = 2 to p, which gives p = 47.\n\nThus, the final answer is p = \\boxed{47}.",
"index": 1411,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = u + 18; a = n + 18; l = e + 8; n = i + 6; s = v + 19; r = j + 18; v = a + 18; j = k + 4; p = l + 5; e = r + 7; k = i + 3; i = 2; u = s + 13. If i = 2, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"m": "w + 5", "v": "m + 12", "f": "v + 10", "n": "f + 2", "c": "n + 5", "y": "c + 7", "i": "w + 18", "a": "i + 7", "j": "a + 18", "p": "j + 14", "k": "p + 7", "h": "k + 6", "w": 16}, "premises": {"w": 16}, "target": "y"}, "answer": {"steps": [["c", "n + 5", "n + 12"], ["n", "f + 2", "f + 14"], ["f", "v + 10", "v + 24"], ["v", "m + 12", "m + 36"], ["m", "w + 5", "w + 41"], ["w", 16, "57"]], "target_var_name": "y", "target_value": 57, "value_dict": {"w": 16}, "is_reverse": true}}
| 1,412
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 14; n = f + 2; f = v + 10; w = 16; k = p + 7; m = w + 5; h = k + 6; c = n + 5; j = a + 18; a = i + 7; y = c + 7; v = m + 12; i = w + 18. If w = 16, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 5 to y, which gives y = n + 12.\n2. Substitute n = f + 2 to y, which gives y = f + 14.\n3. Substitute f = v + 10 to y, which gives y = v + 24.\n4. Substitute v = m + 12 to y, which gives y = m + 36.\n5. Substitute m = w + 5 to y, which gives y = w + 41.\n6. Substitute w = 16 to y, which gives y = 57.\n\nThus, the final answer is y = \\boxed{57}.",
"index": 1412,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 14; n = f + 2; f = v + 10; w = 16; k = p + 7; m = w + 5; h = k + 6; c = n + 5; j = a + 18; a = i + 7; y = c + 7; v = m + 12; i = w + 18. If w = 16, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"u": "s + 3", "n": "u + 4", "l": "n + 4", "x": "l + 19", "e": "x + 14", "f": "e + 16", "t": "s + 10", "j": "t + 14", "y": "j + 20", "g": "y + 16", "d": "g + 16", "m": "d + 14", "s": 9}, "premises": {"s": 9}, "target": "f"}, "answer": {"steps": [["e", "x + 14", "x + 30"], ["x", "l + 19", "l + 49"], ["l", "n + 4", "n + 53"], ["n", "u + 4", "u + 57"], ["u", "s + 3", "s + 60"], ["s", 9, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"s": 9}, "is_reverse": true}}
| 1,413
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = x + 14; m = d + 14; j = t + 14; g = y + 16; u = s + 3; s = 9; f = e + 16; l = n + 4; t = s + 10; d = g + 16; y = j + 20; n = u + 4; x = l + 19. Given that s = 9, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 14 to f, which gives f = x + 30.\n2. Substitute x = l + 19 to f, which gives f = l + 49.\n3. Substitute l = n + 4 to f, which gives f = n + 53.\n4. Substitute n = u + 4 to f, which gives f = u + 57.\n5. Substitute u = s + 3 to f, which gives f = s + 60.\n6. Substitute s = 9 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 1413,
"question": "Suppose a collection of variables is related by the following definitions: e = x + 14; m = d + 14; j = t + 14; g = y + 16; u = s + 3; s = 9; f = e + 16; l = n + 4; t = s + 10; d = g + 16; y = j + 20; n = u + 4; x = l + 19. Given that s = 9, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"h": "g + 4", "a": "h + 19", "s": "a + 13", "t": "s + 3", "l": "t + 6", "r": "l + 19", "k": "g + 1", "p": "k + 9", "o": "p + 5", "x": "o + 17", "i": "x + 16", "u": "i + 17", "g": 8}, "premises": {"g": 8}, "target": "r"}, "answer": {"steps": [["l", "t + 6", "t + 25"], ["t", "s + 3", "s + 28"], ["s", "a + 13", "a + 41"], ["a", "h + 19", "h + 60"], ["h", "g + 4", "g + 64"], ["g", 8, "72"]], "target_var_name": "r", "target_value": 72, "value_dict": {"g": 8}, "is_reverse": true}}
| 1,414
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = g + 4; l = t + 6; t = s + 3; p = k + 9; k = g + 1; s = a + 13; g = 8; a = h + 19; x = o + 17; i = x + 16; r = l + 19; o = p + 5; u = i + 17. If g = 8, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 6 to r, which gives r = t + 25.\n2. Substitute t = s + 3 to r, which gives r = s + 28.\n3. Substitute s = a + 13 to r, which gives r = a + 41.\n4. Substitute a = h + 19 to r, which gives r = h + 60.\n5. Substitute h = g + 4 to r, which gives r = g + 64.\n6. Substitute g = 8 to r, which gives r = 72.\n\nThus, the final answer is r = \\boxed{72}.",
"index": 1414,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = g + 4; l = t + 6; t = s + 3; p = k + 9; k = g + 1; s = a + 13; g = 8; a = h + 19; x = o + 17; i = x + 16; r = l + 19; o = p + 5; u = i + 17. If g = 8, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"b": "i + 14", "p": "b + 5", "d": "p + 16", "y": "d + 14", "w": "y + 5", "t": "w + 9", "a": "i + 4", "q": "a + 5", "j": "q + 1", "n": "j + 12", "x": "n + 5", "g": "x + 10", "i": 4}, "premises": {"i": 4}, "target": "t"}, "answer": {"steps": [["w", "y + 5", "y + 14"], ["y", "d + 14", "d + 28"], ["d", "p + 16", "p + 44"], ["p", "b + 5", "b + 49"], ["b", "i + 14", "i + 63"], ["i", 4, "67"]], "target_var_name": "t", "target_value": 67, "value_dict": {"i": 4}, "is_reverse": true}}
| 1,415
| 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 = a + 5; y = d + 14; g = x + 10; x = n + 5; b = i + 14; i = 4; d = p + 16; j = q + 1; p = b + 5; t = w + 9; a = i + 4; n = j + 12; w = y + 5. If i = 4, what is the resulting 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 w = y + 5 to t, which gives t = y + 14.\n2. Substitute y = d + 14 to t, which gives t = d + 28.\n3. Substitute d = p + 16 to t, which gives t = p + 44.\n4. Substitute p = b + 5 to t, which gives t = b + 49.\n5. Substitute b = i + 14 to t, which gives t = i + 63.\n6. Substitute i = 4 to t, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 1415,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 5; y = d + 14; g = x + 10; x = n + 5; b = i + 14; i = 4; d = p + 16; j = q + 1; p = b + 5; t = w + 9; a = i + 4; n = j + 12; w = y + 5. If i = 4, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"r": "o + 10", "f": "r + 12", "c": "f + 1", "z": "c + 1", "h": "z + 19", "e": "h + 14", "a": "o + 18", "u": "a + 10", "l": "u + 8", "s": "l + 8", "p": "s + 4", "d": "p + 8", "o": 9}, "premises": {"o": 9}, "target": "e"}, "answer": {"steps": [["h", "z + 19", "z + 33"], ["z", "c + 1", "c + 34"], ["c", "f + 1", "f + 35"], ["f", "r + 12", "r + 47"], ["r", "o + 10", "o + 57"], ["o", 9, "66"]], "target_var_name": "e", "target_value": 66, "value_dict": {"o": 9}, "is_reverse": true}}
| 1,416
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = o + 10; l = u + 8; s = l + 8; h = z + 19; d = p + 8; u = a + 10; z = c + 1; a = o + 18; f = r + 12; c = f + 1; o = 9; p = s + 4; e = h + 14. If o = 9, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 19 to e, which gives e = z + 33.\n2. Substitute z = c + 1 to e, which gives e = c + 34.\n3. Substitute c = f + 1 to e, which gives e = f + 35.\n4. Substitute f = r + 12 to e, which gives e = r + 47.\n5. Substitute r = o + 10 to e, which gives e = o + 57.\n6. Substitute o = 9 to e, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 1416,
"question": "Consider a system of variables where each variable is defined as follows: r = o + 10; l = u + 8; s = l + 8; h = z + 19; d = p + 8; u = a + 10; z = c + 1; a = o + 18; f = r + 12; c = f + 1; o = 9; p = s + 4; e = h + 14. If o = 9, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"g": "l + 17", "d": "g + 10", "w": "d + 19", "h": "w + 11", "t": "h + 20", "q": "t + 6", "r": "l + 5", "f": "r + 7", "m": "f + 11", "j": "m + 13", "x": "j + 20", "v": "x + 13", "l": 15}, "premises": {"l": 15}, "target": "q"}, "answer": {"steps": [["t", "h + 20", "h + 26"], ["h", "w + 11", "w + 37"], ["w", "d + 19", "d + 56"], ["d", "g + 10", "g + 66"], ["g", "l + 17", "l + 83"], ["l", 15, "98"]], "target_var_name": "q", "target_value": 98, "value_dict": {"l": 15}, "is_reverse": true}}
| 1,417
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = m + 13; r = l + 5; h = w + 11; m = f + 11; d = g + 10; f = r + 7; x = j + 20; t = h + 20; v = x + 13; l = 15; g = l + 17; q = t + 6; w = d + 19. If l = 15, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 20 to q, which gives q = h + 26.\n2. Substitute h = w + 11 to q, which gives q = w + 37.\n3. Substitute w = d + 19 to q, which gives q = d + 56.\n4. Substitute d = g + 10 to q, which gives q = g + 66.\n5. Substitute g = l + 17 to q, which gives q = l + 83.\n6. Substitute l = 15 to q, which gives q = 98.\n\nThus, the final answer is q = \\boxed{98}.",
"index": 1417,
"question": "Consider a system of variables where each variable is defined as follows: j = m + 13; r = l + 5; h = w + 11; m = f + 11; d = g + 10; f = r + 7; x = j + 20; t = h + 20; v = x + 13; l = 15; g = l + 17; q = t + 6; w = d + 19. If l = 15, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"k": "b + 15", "q": "k + 10", "u": "q + 2", "f": "u + 7", "h": "f + 15", "r": "h + 13", "y": "b + 6", "z": "y + 17", "a": "z + 4", "w": "a + 4", "l": "w + 14", "p": "l + 8", "b": 17}, "premises": {"b": 17}, "target": "r"}, "answer": {"steps": [["h", "f + 15", "f + 28"], ["f", "u + 7", "u + 35"], ["u", "q + 2", "q + 37"], ["q", "k + 10", "k + 47"], ["k", "b + 15", "b + 62"], ["b", 17, "79"]], "target_var_name": "r", "target_value": 79, "value_dict": {"b": 17}, "is_reverse": true}}
| 1,418
| 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 = 17; w = a + 4; z = y + 17; a = z + 4; h = f + 15; q = k + 10; l = w + 14; y = b + 6; p = l + 8; k = b + 15; r = h + 13; f = u + 7; u = q + 2. If b = 17, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 15 to r, which gives r = f + 28.\n2. Substitute f = u + 7 to r, which gives r = u + 35.\n3. Substitute u = q + 2 to r, which gives r = q + 37.\n4. Substitute q = k + 10 to r, which gives r = k + 47.\n5. Substitute k = b + 15 to r, which gives r = b + 62.\n6. Substitute b = 17 to r, which gives r = 79.\n\nThus, the final answer is r = \\boxed{79}.",
"index": 1418,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = 17; w = a + 4; z = y + 17; a = z + 4; h = f + 15; q = k + 10; l = w + 14; y = b + 6; p = l + 8; k = b + 15; r = h + 13; f = u + 7; u = q + 2. If b = 17, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"y": "b + 4", "c": "y + 2", "g": "c + 1", "e": "g + 20", "v": "e + 15", "n": "v + 12", "l": "b + 10", "u": "l + 8", "w": "u + 5", "t": "w + 19", "z": "t + 13", "k": "z + 3", "b": 15}, "premises": {"b": 15}, "target": "n"}, "answer": {"steps": [["v", "e + 15", "e + 27"], ["e", "g + 20", "g + 47"], ["g", "c + 1", "c + 48"], ["c", "y + 2", "y + 50"], ["y", "b + 4", "b + 54"], ["b", 15, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"b": 15}, "is_reverse": true}}
| 1,419
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = e + 15; z = t + 13; c = y + 2; l = b + 10; t = w + 19; n = v + 12; k = z + 3; g = c + 1; u = l + 8; b = 15; e = g + 20; y = b + 4; w = u + 5. Given that b = 15, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 15 to n, which gives n = e + 27.\n2. Substitute e = g + 20 to n, which gives n = g + 47.\n3. Substitute g = c + 1 to n, which gives n = c + 48.\n4. Substitute c = y + 2 to n, which gives n = y + 50.\n5. Substitute y = b + 4 to n, which gives n = b + 54.\n6. Substitute b = 15 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 1419,
"question": "Suppose a collection of variables is related by the following definitions: v = e + 15; z = t + 13; c = y + 2; l = b + 10; t = w + 19; n = v + 12; k = z + 3; g = c + 1; u = l + 8; b = 15; e = g + 20; y = b + 4; w = u + 5. Given that b = 15, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"x": "u + 16", "b": "x + 18", "h": "b + 17", "z": "h + 20", "d": "z + 15", "s": "d + 10", "g": "u + 20", "r": "g + 14", "l": "r + 5", "c": "l + 4", "y": "c + 7", "w": "y + 14", "u": 12}, "premises": {"u": 12}, "target": "s"}, "answer": {"steps": [["d", "z + 15", "z + 25"], ["z", "h + 20", "h + 45"], ["h", "b + 17", "b + 62"], ["b", "x + 18", "x + 80"], ["x", "u + 16", "u + 96"], ["u", 12, "108"]], "target_var_name": "s", "target_value": 108, "value_dict": {"u": 12}, "is_reverse": true}}
| 1,420
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = h + 20; w = y + 14; c = l + 4; y = c + 7; g = u + 20; h = b + 17; b = x + 18; u = 12; s = d + 10; r = g + 14; d = z + 15; x = u + 16; l = r + 5. If u = 12, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 108,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 15 to s, which gives s = z + 25.\n2. Substitute z = h + 20 to s, which gives s = h + 45.\n3. Substitute h = b + 17 to s, which gives s = b + 62.\n4. Substitute b = x + 18 to s, which gives s = x + 80.\n5. Substitute x = u + 16 to s, which gives s = u + 96.\n6. Substitute u = 12 to s, which gives s = 108.\n\nThus, the final answer is s = \\boxed{108}.",
"index": 1420,
"question": "Consider a system of variables where each variable is defined as follows: z = h + 20; w = y + 14; c = l + 4; y = c + 7; g = u + 20; h = b + 17; b = x + 18; u = 12; s = d + 10; r = g + 14; d = z + 15; x = u + 16; l = r + 5. If u = 12, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"s": "u + 12", "c": "s + 10", "l": "c + 11", "k": "l + 15", "x": "k + 1", "h": "x + 19", "d": "u + 20", "z": "d + 1", "w": "z + 4", "n": "w + 12", "o": "n + 4", "i": "o + 11", "u": 8}, "premises": {"u": 8}, "target": "h"}, "answer": {"steps": [["x", "k + 1", "k + 20"], ["k", "l + 15", "l + 35"], ["l", "c + 11", "c + 46"], ["c", "s + 10", "s + 56"], ["s", "u + 12", "u + 68"], ["u", 8, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"u": 8}, "is_reverse": true}}
| 1,421
| 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 = 8; c = s + 10; h = x + 19; x = k + 1; d = u + 20; i = o + 11; l = c + 11; s = u + 12; z = d + 1; o = n + 4; w = z + 4; k = l + 15; n = w + 12. If u = 8, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 1 to h, which gives h = k + 20.\n2. Substitute k = l + 15 to h, which gives h = l + 35.\n3. Substitute l = c + 11 to h, which gives h = c + 46.\n4. Substitute c = s + 10 to h, which gives h = s + 56.\n5. Substitute s = u + 12 to h, which gives h = u + 68.\n6. Substitute u = 8 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 1421,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 8; c = s + 10; h = x + 19; x = k + 1; d = u + 20; i = o + 11; l = c + 11; s = u + 12; z = d + 1; o = n + 4; w = z + 4; k = l + 15; n = w + 12. If u = 8, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"y": "d + 1", "p": "y + 19", "l": "p + 8", "h": "l + 10", "g": "h + 2", "z": "g + 1", "q": "d + 11", "w": "q + 4", "k": "w + 11", "j": "k + 1", "a": "j + 13", "u": "a + 13", "d": 19}, "premises": {"d": 19}, "target": "z"}, "answer": {"steps": [["g", "h + 2", "h + 3"], ["h", "l + 10", "l + 13"], ["l", "p + 8", "p + 21"], ["p", "y + 19", "y + 40"], ["y", "d + 1", "d + 41"], ["d", 19, "60"]], "target_var_name": "z", "target_value": 60, "value_dict": {"d": 19}, "is_reverse": true}}
| 1,422
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = p + 8; g = h + 2; u = a + 13; z = g + 1; a = j + 13; q = d + 11; h = l + 10; d = 19; k = w + 11; p = y + 19; y = d + 1; j = k + 1; w = q + 4. If d = 19, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 2 to z, which gives z = h + 3.\n2. Substitute h = l + 10 to z, which gives z = l + 13.\n3. Substitute l = p + 8 to z, which gives z = p + 21.\n4. Substitute p = y + 19 to z, which gives z = y + 40.\n5. Substitute y = d + 1 to z, which gives z = d + 41.\n6. Substitute d = 19 to z, which gives z = 60.\n\nThus, the final answer is z = \\boxed{60}.",
"index": 1422,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = p + 8; g = h + 2; u = a + 13; z = g + 1; a = j + 13; q = d + 11; h = l + 10; d = 19; k = w + 11; p = y + 19; y = d + 1; j = k + 1; w = q + 4. If d = 19, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"m": "z + 19", "u": "m + 15", "r": "u + 19", "t": "r + 9", "l": "t + 18", "y": "l + 12", "v": "z + 10", "d": "v + 4", "k": "d + 6", "q": "k + 2", "s": "q + 3", "e": "s + 4", "z": 16}, "premises": {"z": 16}, "target": "y"}, "answer": {"steps": [["l", "t + 18", "t + 30"], ["t", "r + 9", "r + 39"], ["r", "u + 19", "u + 58"], ["u", "m + 15", "m + 73"], ["m", "z + 19", "z + 92"], ["z", 16, "108"]], "target_var_name": "y", "target_value": 108, "value_dict": {"z": 16}, "is_reverse": true}}
| 1,423
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = v + 4; m = z + 19; k = d + 6; z = 16; s = q + 3; t = r + 9; q = k + 2; r = u + 19; u = m + 15; l = t + 18; y = l + 12; v = z + 10; e = s + 4. If z = 16, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 108,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 18 to y, which gives y = t + 30.\n2. Substitute t = r + 9 to y, which gives y = r + 39.\n3. Substitute r = u + 19 to y, which gives y = u + 58.\n4. Substitute u = m + 15 to y, which gives y = m + 73.\n5. Substitute m = z + 19 to y, which gives y = z + 92.\n6. Substitute z = 16 to y, which gives y = 108.\n\nThus, the final answer is y = \\boxed{108}.",
"index": 1423,
"question": "Consider a system of variables where each variable is defined as follows: d = v + 4; m = z + 19; k = d + 6; z = 16; s = q + 3; t = r + 9; q = k + 2; r = u + 19; u = m + 15; l = t + 18; y = l + 12; v = z + 10; e = s + 4. If z = 16, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"k": "h + 15", "y": "k + 4", "f": "y + 1", "w": "f + 5", "s": "w + 4", "a": "s + 12", "c": "h + 16", "o": "c + 18", "z": "o + 9", "p": "z + 9", "u": "p + 8", "d": "u + 8", "h": 17}, "premises": {"h": 17}, "target": "a"}, "answer": {"steps": [["s", "w + 4", "w + 16"], ["w", "f + 5", "f + 21"], ["f", "y + 1", "y + 22"], ["y", "k + 4", "k + 26"], ["k", "h + 15", "h + 41"], ["h", 17, "58"]], "target_var_name": "a", "target_value": 58, "value_dict": {"h": 17}, "is_reverse": true}}
| 1,424
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = u + 8; s = w + 4; f = y + 1; y = k + 4; h = 17; c = h + 16; z = o + 9; p = z + 9; o = c + 18; k = h + 15; a = s + 12; w = f + 5; u = p + 8. If h = 17, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 4 to a, which gives a = w + 16.\n2. Substitute w = f + 5 to a, which gives a = f + 21.\n3. Substitute f = y + 1 to a, which gives a = y + 22.\n4. Substitute y = k + 4 to a, which gives a = k + 26.\n5. Substitute k = h + 15 to a, which gives a = h + 41.\n6. Substitute h = 17 to a, which gives a = 58.\n\nThus, the final answer is a = \\boxed{58}.",
"index": 1424,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = u + 8; s = w + 4; f = y + 1; y = k + 4; h = 17; c = h + 16; z = o + 9; p = z + 9; o = c + 18; k = h + 15; a = s + 12; w = f + 5; u = p + 8. If h = 17, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"w": "z + 18", "b": "w + 10", "o": "b + 12", "n": "o + 5", "s": "n + 20", "i": "s + 15", "k": "z + 7", "e": "k + 15", "a": "e + 3", "l": "a + 15", "q": "l + 15", "m": "q + 14", "z": 15}, "premises": {"z": 15}, "target": "i"}, "answer": {"steps": [["s", "n + 20", "n + 35"], ["n", "o + 5", "o + 40"], ["o", "b + 12", "b + 52"], ["b", "w + 10", "w + 62"], ["w", "z + 18", "z + 80"], ["z", 15, "95"]], "target_var_name": "i", "target_value": 95, "value_dict": {"z": 15}, "is_reverse": true}}
| 1,425
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = w + 10; s = n + 20; l = a + 15; q = l + 15; o = b + 12; a = e + 3; z = 15; n = o + 5; k = z + 7; m = q + 14; e = k + 15; i = s + 15; w = z + 18. Given that z = 15, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = n + 20 to i, which gives i = n + 35.\n2. Substitute n = o + 5 to i, which gives i = o + 40.\n3. Substitute o = b + 12 to i, which gives i = b + 52.\n4. Substitute b = w + 10 to i, which gives i = w + 62.\n5. Substitute w = z + 18 to i, which gives i = z + 80.\n6. Substitute z = 15 to i, which gives i = 95.\n\nThus, the final answer is i = \\boxed{95}.",
"index": 1425,
"question": "Suppose a collection of variables is related by the following definitions: b = w + 10; s = n + 20; l = a + 15; q = l + 15; o = b + 12; a = e + 3; z = 15; n = o + 5; k = z + 7; m = q + 14; e = k + 15; i = s + 15; w = z + 18. Given that z = 15, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 17", "n": "q + 16", "s": "n + 9", "l": "s + 14", "r": "l + 4", "m": "r + 9", "f": "i + 11", "w": "f + 4", "p": "w + 3", "a": "p + 12", "h": "a + 8", "g": "h + 7", "i": 16}, "premises": {"i": 16}, "target": "m"}, "answer": {"steps": [["r", "l + 4", "l + 13"], ["l", "s + 14", "s + 27"], ["s", "n + 9", "n + 36"], ["n", "q + 16", "q + 52"], ["q", "i + 17", "i + 69"], ["i", 16, "85"]], "target_var_name": "m", "target_value": 85, "value_dict": {"i": 16}, "is_reverse": true}}
| 1,426
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = p + 12; i = 16; s = n + 9; w = f + 4; f = i + 11; n = q + 16; g = h + 7; q = i + 17; l = s + 14; h = a + 8; m = r + 9; r = l + 4; p = w + 3. Given that i = 16, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 4 to m, which gives m = l + 13.\n2. Substitute l = s + 14 to m, which gives m = s + 27.\n3. Substitute s = n + 9 to m, which gives m = n + 36.\n4. Substitute n = q + 16 to m, which gives m = q + 52.\n5. Substitute q = i + 17 to m, which gives m = i + 69.\n6. Substitute i = 16 to m, which gives m = 85.\n\nThus, the final answer is m = \\boxed{85}.",
"index": 1426,
"question": "Suppose a collection of variables is related by the following definitions: a = p + 12; i = 16; s = n + 9; w = f + 4; f = i + 11; n = q + 16; g = h + 7; q = i + 17; l = s + 14; h = a + 8; m = r + 9; r = l + 4; p = w + 3. Given that i = 16, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"n": "o + 17", "d": "n + 6", "l": "d + 13", "h": "l + 3", "i": "h + 7", "j": "i + 10", "t": "o + 12", "e": "t + 7", "c": "e + 2", "v": "c + 16", "k": "v + 7", "f": "k + 18", "o": 4}, "premises": {"o": 4}, "target": "j"}, "answer": {"steps": [["i", "h + 7", "h + 17"], ["h", "l + 3", "l + 20"], ["l", "d + 13", "d + 33"], ["d", "n + 6", "n + 39"], ["n", "o + 17", "o + 56"], ["o", 4, "60"]], "target_var_name": "j", "target_value": 60, "value_dict": {"o": 4}, "is_reverse": true}}
| 1,427
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = t + 7; f = k + 18; n = o + 17; o = 4; k = v + 7; i = h + 7; l = d + 13; h = l + 3; d = n + 6; v = c + 16; t = o + 12; j = i + 10; c = e + 2. If o = 4, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 7 to j, which gives j = h + 17.\n2. Substitute h = l + 3 to j, which gives j = l + 20.\n3. Substitute l = d + 13 to j, which gives j = d + 33.\n4. Substitute d = n + 6 to j, which gives j = n + 39.\n5. Substitute n = o + 17 to j, which gives j = o + 56.\n6. Substitute o = 4 to j, which gives j = 60.\n\nThus, the final answer is j = \\boxed{60}.",
"index": 1427,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = t + 7; f = k + 18; n = o + 17; o = 4; k = v + 7; i = h + 7; l = d + 13; h = l + 3; d = n + 6; v = c + 16; t = o + 12; j = i + 10; c = e + 2. If o = 4, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"s": "i + 3", "f": "s + 8", "w": "f + 10", "o": "w + 2", "e": "o + 15", "j": "e + 13", "r": "i + 11", "n": "r + 7", "z": "n + 20", "p": "z + 10", "k": "p + 4", "y": "k + 7", "i": 18}, "premises": {"i": 18}, "target": "j"}, "answer": {"steps": [["e", "o + 15", "o + 28"], ["o", "w + 2", "w + 30"], ["w", "f + 10", "f + 40"], ["f", "s + 8", "s + 48"], ["s", "i + 3", "i + 51"], ["i", 18, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"i": 18}, "is_reverse": true}}
| 1,428
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = f + 10; j = e + 13; i = 18; n = r + 7; e = o + 15; f = s + 8; y = k + 7; s = i + 3; r = i + 11; o = w + 2; k = p + 4; p = z + 10; z = n + 20. If i = 18, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 15 to j, which gives j = o + 28.\n2. Substitute o = w + 2 to j, which gives j = w + 30.\n3. Substitute w = f + 10 to j, which gives j = f + 40.\n4. Substitute f = s + 8 to j, which gives j = s + 48.\n5. Substitute s = i + 3 to j, which gives j = i + 51.\n6. Substitute i = 18 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 1428,
"question": "Consider a system of variables where each variable is defined as follows: w = f + 10; j = e + 13; i = 18; n = r + 7; e = o + 15; f = s + 8; y = k + 7; s = i + 3; r = i + 11; o = w + 2; k = p + 4; p = z + 10; z = n + 20. If i = 18, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"l": "s + 10", "g": "l + 13", "r": "g + 8", "x": "r + 2", "i": "x + 5", "o": "i + 9", "k": "s + 16", "t": "k + 5", "w": "t + 2", "a": "w + 12", "d": "a + 9", "j": "d + 18", "s": 8}, "premises": {"s": 8}, "target": "o"}, "answer": {"steps": [["i", "x + 5", "x + 14"], ["x", "r + 2", "r + 16"], ["r", "g + 8", "g + 24"], ["g", "l + 13", "l + 37"], ["l", "s + 10", "s + 47"], ["s", 8, "55"]], "target_var_name": "o", "target_value": 55, "value_dict": {"s": 8}, "is_reverse": true}}
| 1,429
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = 8; k = s + 16; a = w + 12; t = k + 5; d = a + 9; x = r + 2; r = g + 8; l = s + 10; g = l + 13; o = i + 9; j = d + 18; i = x + 5; w = t + 2. If s = 8, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 5 to o, which gives o = x + 14.\n2. Substitute x = r + 2 to o, which gives o = r + 16.\n3. Substitute r = g + 8 to o, which gives o = g + 24.\n4. Substitute g = l + 13 to o, which gives o = l + 37.\n5. Substitute l = s + 10 to o, which gives o = s + 47.\n6. Substitute s = 8 to o, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 1429,
"question": "Consider a system of variables where each variable is defined as follows: s = 8; k = s + 16; a = w + 12; t = k + 5; d = a + 9; x = r + 2; r = g + 8; l = s + 10; g = l + 13; o = i + 9; j = d + 18; i = x + 5; w = t + 2. If s = 8, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"o": "c + 8", "x": "o + 16", "v": "x + 20", "i": "v + 9", "t": "i + 11", "m": "t + 6", "g": "c + 4", "p": "g + 3", "h": "p + 8", "e": "h + 7", "z": "e + 8", "w": "z + 10", "c": 11}, "premises": {"c": 11}, "target": "m"}, "answer": {"steps": [["t", "i + 11", "i + 17"], ["i", "v + 9", "v + 26"], ["v", "x + 20", "x + 46"], ["x", "o + 16", "o + 62"], ["o", "c + 8", "c + 70"], ["c", 11, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"c": 11}, "is_reverse": true}}
| 1,430
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = i + 11; o = c + 8; p = g + 3; w = z + 10; i = v + 9; c = 11; e = h + 7; g = c + 4; x = o + 16; h = p + 8; m = t + 6; z = e + 8; v = x + 20. If c = 11, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 11 to m, which gives m = i + 17.\n2. Substitute i = v + 9 to m, which gives m = v + 26.\n3. Substitute v = x + 20 to m, which gives m = x + 46.\n4. Substitute x = o + 16 to m, which gives m = o + 62.\n5. Substitute o = c + 8 to m, which gives m = c + 70.\n6. Substitute c = 11 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 1430,
"question": "Consider a system of variables where each variable is defined as follows: t = i + 11; o = c + 8; p = g + 3; w = z + 10; i = v + 9; c = 11; e = h + 7; g = c + 4; x = o + 16; h = p + 8; m = t + 6; z = e + 8; v = x + 20. If c = 11, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"h": "e + 3", "o": "h + 9", "b": "o + 9", "j": "b + 1", "i": "j + 6", "c": "i + 14", "n": "e + 19", "y": "n + 13", "d": "y + 19", "g": "d + 6", "x": "g + 8", "k": "x + 7", "e": 19}, "premises": {"e": 19}, "target": "c"}, "answer": {"steps": [["i", "j + 6", "j + 20"], ["j", "b + 1", "b + 21"], ["b", "o + 9", "o + 30"], ["o", "h + 9", "h + 39"], ["h", "e + 3", "e + 42"], ["e", 19, "61"]], "target_var_name": "c", "target_value": 61, "value_dict": {"e": 19}, "is_reverse": true}}
| 1,431
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = 19; o = h + 9; n = e + 19; i = j + 6; x = g + 8; d = y + 19; b = o + 9; g = d + 6; k = x + 7; c = i + 14; j = b + 1; h = e + 3; y = n + 13. If e = 19, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 6 to c, which gives c = j + 20.\n2. Substitute j = b + 1 to c, which gives c = b + 21.\n3. Substitute b = o + 9 to c, which gives c = o + 30.\n4. Substitute o = h + 9 to c, which gives c = h + 39.\n5. Substitute h = e + 3 to c, which gives c = e + 42.\n6. Substitute e = 19 to c, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 1431,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 19; o = h + 9; n = e + 19; i = j + 6; x = g + 8; d = y + 19; b = o + 9; g = d + 6; k = x + 7; c = i + 14; j = b + 1; h = e + 3; y = n + 13. If e = 19, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"r": "y + 12", "i": "r + 10", "b": "i + 12", "m": "b + 12", "u": "m + 11", "z": "u + 3", "d": "y + 6", "n": "d + 9", "s": "n + 14", "v": "s + 9", "g": "v + 19", "a": "g + 6", "y": 18}, "premises": {"y": 18}, "target": "z"}, "answer": {"steps": [["u", "m + 11", "m + 14"], ["m", "b + 12", "b + 26"], ["b", "i + 12", "i + 38"], ["i", "r + 10", "r + 48"], ["r", "y + 12", "y + 60"], ["y", 18, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"y": 18}, "is_reverse": true}}
| 1,432
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = v + 19; a = g + 6; s = n + 14; u = m + 11; b = i + 12; d = y + 6; r = y + 12; m = b + 12; z = u + 3; v = s + 9; y = 18; n = d + 9; i = r + 10. If y = 18, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 11 to z, which gives z = m + 14.\n2. Substitute m = b + 12 to z, which gives z = b + 26.\n3. Substitute b = i + 12 to z, which gives z = i + 38.\n4. Substitute i = r + 10 to z, which gives z = r + 48.\n5. Substitute r = y + 12 to z, which gives z = y + 60.\n6. Substitute y = 18 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 1432,
"question": "Consider a system of variables where each variable is defined as follows: g = v + 19; a = g + 6; s = n + 14; u = m + 11; b = i + 12; d = y + 6; r = y + 12; m = b + 12; z = u + 3; v = s + 9; y = 18; n = d + 9; i = r + 10. If y = 18, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"m": "a + 8", "t": "m + 9", "q": "t + 13", "x": "q + 8", "j": "x + 1", "b": "j + 5", "d": "a + 20", "w": "d + 11", "e": "w + 14", "y": "e + 11", "h": "y + 4", "r": "h + 17", "a": 7}, "premises": {"a": 7}, "target": "b"}, "answer": {"steps": [["j", "x + 1", "x + 6"], ["x", "q + 8", "q + 14"], ["q", "t + 13", "t + 27"], ["t", "m + 9", "m + 36"], ["m", "a + 8", "a + 44"], ["a", 7, "51"]], "target_var_name": "b", "target_value": 51, "value_dict": {"a": 7}, "is_reverse": true}}
| 1,433
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = d + 11; b = j + 5; e = w + 14; h = y + 4; q = t + 13; r = h + 17; m = a + 8; t = m + 9; j = x + 1; y = e + 11; a = 7; d = a + 20; x = q + 8. If a = 7, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 1 to b, which gives b = x + 6.\n2. Substitute x = q + 8 to b, which gives b = q + 14.\n3. Substitute q = t + 13 to b, which gives b = t + 27.\n4. Substitute t = m + 9 to b, which gives b = m + 36.\n5. Substitute m = a + 8 to b, which gives b = a + 44.\n6. Substitute a = 7 to b, which gives b = 51.\n\nThus, the final answer is b = \\boxed{51}.",
"index": 1433,
"question": "Consider a system of variables where each variable is defined as follows: w = d + 11; b = j + 5; e = w + 14; h = y + 4; q = t + 13; r = h + 17; m = a + 8; t = m + 9; j = x + 1; y = e + 11; a = 7; d = a + 20; x = q + 8. If a = 7, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"u": "b + 4", "k": "u + 6", "m": "k + 14", "h": "m + 3", "e": "h + 17", "i": "e + 13", "d": "b + 7", "l": "d + 8", "j": "l + 19", "v": "j + 9", "r": "v + 11", "q": "r + 1", "b": 9}, "premises": {"b": 9}, "target": "i"}, "answer": {"steps": [["e", "h + 17", "h + 30"], ["h", "m + 3", "m + 33"], ["m", "k + 14", "k + 47"], ["k", "u + 6", "u + 53"], ["u", "b + 4", "b + 57"], ["b", 9, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"b": 9}, "is_reverse": true}}
| 1,434
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = e + 13; q = r + 1; h = m + 3; r = v + 11; k = u + 6; l = d + 8; m = k + 14; u = b + 4; j = l + 19; e = h + 17; d = b + 7; b = 9; v = j + 9. Given that b = 9, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 17 to i, which gives i = h + 30.\n2. Substitute h = m + 3 to i, which gives i = m + 33.\n3. Substitute m = k + 14 to i, which gives i = k + 47.\n4. Substitute k = u + 6 to i, which gives i = u + 53.\n5. Substitute u = b + 4 to i, which gives i = b + 57.\n6. Substitute b = 9 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 1434,
"question": "Suppose a collection of variables is related by the following definitions: i = e + 13; q = r + 1; h = m + 3; r = v + 11; k = u + 6; l = d + 8; m = k + 14; u = b + 4; j = l + 19; e = h + 17; d = b + 7; b = 9; v = j + 9. Given that b = 9, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"q": "g + 18", "r": "q + 7", "c": "r + 9", "d": "c + 3", "w": "d + 16", "p": "w + 20", "m": "g + 17", "b": "m + 2", "i": "b + 18", "z": "i + 18", "t": "z + 5", "n": "t + 12", "g": 13}, "premises": {"g": 13}, "target": "p"}, "answer": {"steps": [["w", "d + 16", "d + 36"], ["d", "c + 3", "c + 39"], ["c", "r + 9", "r + 48"], ["r", "q + 7", "q + 55"], ["q", "g + 18", "g + 73"], ["g", 13, "86"]], "target_var_name": "p", "target_value": 86, "value_dict": {"g": 13}, "is_reverse": true}}
| 1,435
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = z + 5; n = t + 12; q = g + 18; r = q + 7; z = i + 18; b = m + 2; d = c + 3; c = r + 9; p = w + 20; g = 13; w = d + 16; i = b + 18; m = g + 17. Given that g = 13, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 16 to p, which gives p = d + 36.\n2. Substitute d = c + 3 to p, which gives p = c + 39.\n3. Substitute c = r + 9 to p, which gives p = r + 48.\n4. Substitute r = q + 7 to p, which gives p = q + 55.\n5. Substitute q = g + 18 to p, which gives p = g + 73.\n6. Substitute g = 13 to p, which gives p = 86.\n\nThus, the final answer is p = \\boxed{86}.",
"index": 1435,
"question": "Suppose a collection of variables is related by the following definitions: t = z + 5; n = t + 12; q = g + 18; r = q + 7; z = i + 18; b = m + 2; d = c + 3; c = r + 9; p = w + 20; g = 13; w = d + 16; i = b + 18; m = g + 17. Given that g = 13, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"m": "q + 18", "x": "m + 19", "i": "x + 8", "d": "i + 6", "w": "d + 9", "g": "w + 19", "c": "q + 12", "u": "c + 12", "e": "u + 20", "j": "e + 9", "y": "j + 3", "o": "y + 9", "q": 14}, "premises": {"q": 14}, "target": "g"}, "answer": {"steps": [["w", "d + 9", "d + 28"], ["d", "i + 6", "i + 34"], ["i", "x + 8", "x + 42"], ["x", "m + 19", "m + 61"], ["m", "q + 18", "q + 79"], ["q", 14, "93"]], "target_var_name": "g", "target_value": 93, "value_dict": {"q": 14}, "is_reverse": true}}
| 1,436
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = q + 18; i = x + 8; d = i + 6; y = j + 3; q = 14; j = e + 9; o = y + 9; g = w + 19; e = u + 20; w = d + 9; x = m + 19; u = c + 12; c = q + 12. If q = 14, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 9 to g, which gives g = d + 28.\n2. Substitute d = i + 6 to g, which gives g = i + 34.\n3. Substitute i = x + 8 to g, which gives g = x + 42.\n4. Substitute x = m + 19 to g, which gives g = m + 61.\n5. Substitute m = q + 18 to g, which gives g = q + 79.\n6. Substitute q = 14 to g, which gives g = 93.\n\nThus, the final answer is g = \\boxed{93}.",
"index": 1436,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = q + 18; i = x + 8; d = i + 6; y = j + 3; q = 14; j = e + 9; o = y + 9; g = w + 19; e = u + 20; w = d + 9; x = m + 19; u = c + 12; c = q + 12. If q = 14, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"a": "l + 14", "d": "a + 12", "h": "d + 8", "g": "h + 1", "x": "g + 6", "j": "x + 17", "f": "l + 7", "b": "f + 10", "q": "b + 17", "n": "q + 17", "r": "n + 18", "c": "r + 9", "l": 18}, "premises": {"l": 18}, "target": "j"}, "answer": {"steps": [["x", "g + 6", "g + 23"], ["g", "h + 1", "h + 24"], ["h", "d + 8", "d + 32"], ["d", "a + 12", "a + 44"], ["a", "l + 14", "l + 58"], ["l", 18, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"l": 18}, "is_reverse": true}}
| 1,437
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = n + 18; d = a + 12; h = d + 8; f = l + 7; n = q + 17; b = f + 10; a = l + 14; l = 18; x = g + 6; g = h + 1; j = x + 17; c = r + 9; q = b + 17. If l = 18, determine 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 x = g + 6 to j, which gives j = g + 23.\n2. Substitute g = h + 1 to j, which gives j = h + 24.\n3. Substitute h = d + 8 to j, which gives j = d + 32.\n4. Substitute d = a + 12 to j, which gives j = a + 44.\n5. Substitute a = l + 14 to j, which gives j = l + 58.\n6. Substitute l = 18 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 1437,
"question": "Consider a system of variables where each variable is defined as follows: r = n + 18; d = a + 12; h = d + 8; f = l + 7; n = q + 17; b = f + 10; a = l + 14; l = 18; x = g + 6; g = h + 1; j = x + 17; c = r + 9; q = b + 17. If l = 18, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 11", "h": "m + 1", "q": "h + 18", "v": "q + 9", "w": "v + 7", "c": "w + 6", "n": "x + 9", "f": "n + 11", "l": "f + 17", "y": "l + 16", "g": "y + 6", "t": "g + 16", "x": 19}, "premises": {"x": 19}, "target": "c"}, "answer": {"steps": [["w", "v + 7", "v + 13"], ["v", "q + 9", "q + 22"], ["q", "h + 18", "h + 40"], ["h", "m + 1", "m + 41"], ["m", "x + 11", "x + 52"], ["x", 19, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"x": 19}, "is_reverse": true}}
| 1,438
| 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 = x + 9; t = g + 16; f = n + 11; h = m + 1; v = q + 9; w = v + 7; x = 19; m = x + 11; c = w + 6; y = l + 16; q = h + 18; l = f + 17; g = y + 6. If x = 19, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 7 to c, which gives c = v + 13.\n2. Substitute v = q + 9 to c, which gives c = q + 22.\n3. Substitute q = h + 18 to c, which gives c = h + 40.\n4. Substitute h = m + 1 to c, which gives c = m + 41.\n5. Substitute m = x + 11 to c, which gives c = x + 52.\n6. Substitute x = 19 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 1438,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 9; t = g + 16; f = n + 11; h = m + 1; v = q + 9; w = v + 7; x = 19; m = x + 11; c = w + 6; y = l + 16; q = h + 18; l = f + 17; g = y + 6. If x = 19, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"e": "c + 3", "w": "e + 17", "r": "w + 12", "t": "r + 14", "q": "t + 6", "b": "q + 17", "x": "c + 3", "l": "x + 15", "k": "l + 1", "v": "k + 15", "p": "v + 4", "u": "p + 4", "c": 3}, "premises": {"c": 3}, "target": "b"}, "answer": {"steps": [["q", "t + 6", "t + 23"], ["t", "r + 14", "r + 37"], ["r", "w + 12", "w + 49"], ["w", "e + 17", "e + 66"], ["e", "c + 3", "c + 69"], ["c", 3, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"c": 3}, "is_reverse": true}}
| 1,439
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = c + 3; r = w + 12; u = p + 4; v = k + 15; p = v + 4; e = c + 3; t = r + 14; w = e + 17; l = x + 15; q = t + 6; b = q + 17; c = 3; k = l + 1. Given that c = 3, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 6 to b, which gives b = t + 23.\n2. Substitute t = r + 14 to b, which gives b = r + 37.\n3. Substitute r = w + 12 to b, which gives b = w + 49.\n4. Substitute w = e + 17 to b, which gives b = e + 66.\n5. Substitute e = c + 3 to b, which gives b = c + 69.\n6. Substitute c = 3 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 1439,
"question": "Suppose a collection of variables is related by the following definitions: x = c + 3; r = w + 12; u = p + 4; v = k + 15; p = v + 4; e = c + 3; t = r + 14; w = e + 17; l = x + 15; q = t + 6; b = q + 17; c = 3; k = l + 1. Given that c = 3, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"j": "a + 15", "c": "j + 15", "e": "c + 7", "o": "e + 13", "w": "o + 4", "y": "w + 14", "d": "a + 17", "u": "d + 16", "i": "u + 14", "n": "i + 9", "x": "n + 10", "h": "x + 7", "a": 8}, "premises": {"a": 8}, "target": "y"}, "answer": {"steps": [["w", "o + 4", "o + 18"], ["o", "e + 13", "e + 31"], ["e", "c + 7", "c + 38"], ["c", "j + 15", "j + 53"], ["j", "a + 15", "a + 68"], ["a", 8, "76"]], "target_var_name": "y", "target_value": 76, "value_dict": {"a": 8}, "is_reverse": true}}
| 1,440
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = d + 16; c = j + 15; y = w + 14; j = a + 15; n = i + 9; o = e + 13; e = c + 7; d = a + 17; i = u + 14; h = x + 7; a = 8; w = o + 4; x = n + 10. Given that a = 8, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 4 to y, which gives y = o + 18.\n2. Substitute o = e + 13 to y, which gives y = e + 31.\n3. Substitute e = c + 7 to y, which gives y = c + 38.\n4. Substitute c = j + 15 to y, which gives y = j + 53.\n5. Substitute j = a + 15 to y, which gives y = a + 68.\n6. Substitute a = 8 to y, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 1440,
"question": "Suppose a collection of variables is related by the following definitions: u = d + 16; c = j + 15; y = w + 14; j = a + 15; n = i + 9; o = e + 13; e = c + 7; d = a + 17; i = u + 14; h = x + 7; a = 8; w = o + 4; x = n + 10. Given that a = 8, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"f": "a + 16", "h": "f + 15", "l": "h + 19", "m": "l + 19", "e": "m + 2", "g": "e + 2", "c": "a + 18", "w": "c + 10", "o": "w + 6", "q": "o + 4", "n": "q + 19", "j": "n + 20", "a": 18}, "premises": {"a": 18}, "target": "g"}, "answer": {"steps": [["e", "m + 2", "m + 4"], ["m", "l + 19", "l + 23"], ["l", "h + 19", "h + 42"], ["h", "f + 15", "f + 57"], ["f", "a + 16", "a + 73"], ["a", 18, "91"]], "target_var_name": "g", "target_value": 91, "value_dict": {"a": 18}, "is_reverse": true}}
| 1,441
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = n + 20; g = e + 2; m = l + 19; l = h + 19; c = a + 18; o = w + 6; e = m + 2; q = o + 4; h = f + 15; f = a + 16; a = 18; n = q + 19; w = c + 10. Given that a = 18, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 2 to g, which gives g = m + 4.\n2. Substitute m = l + 19 to g, which gives g = l + 23.\n3. Substitute l = h + 19 to g, which gives g = h + 42.\n4. Substitute h = f + 15 to g, which gives g = f + 57.\n5. Substitute f = a + 16 to g, which gives g = a + 73.\n6. Substitute a = 18 to g, which gives g = 91.\n\nThus, the final answer is g = \\boxed{91}.",
"index": 1441,
"question": "Suppose a collection of variables is related by the following definitions: j = n + 20; g = e + 2; m = l + 19; l = h + 19; c = a + 18; o = w + 6; e = m + 2; q = o + 4; h = f + 15; f = a + 16; a = 18; n = q + 19; w = c + 10. Given that a = 18, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"t": "b + 6", "g": "t + 11", "j": "g + 12", "n": "j + 4", "k": "n + 19", "x": "k + 19", "c": "b + 8", "l": "c + 9", "q": "l + 6", "y": "q + 8", "a": "y + 11", "p": "a + 20", "b": 5}, "premises": {"b": 5}, "target": "x"}, "answer": {"steps": [["k", "n + 19", "n + 38"], ["n", "j + 4", "j + 42"], ["j", "g + 12", "g + 54"], ["g", "t + 11", "t + 65"], ["t", "b + 6", "b + 71"], ["b", 5, "76"]], "target_var_name": "x", "target_value": 76, "value_dict": {"b": 5}, "is_reverse": true}}
| 1,442
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 8; g = t + 11; x = k + 19; n = j + 4; a = y + 11; p = a + 20; t = b + 6; y = q + 8; k = n + 19; q = l + 6; l = c + 9; b = 5; j = g + 12. If b = 5, what is the resulting 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 k = n + 19 to x, which gives x = n + 38.\n2. Substitute n = j + 4 to x, which gives x = j + 42.\n3. Substitute j = g + 12 to x, which gives x = g + 54.\n4. Substitute g = t + 11 to x, which gives x = t + 65.\n5. Substitute t = b + 6 to x, which gives x = b + 71.\n6. Substitute b = 5 to x, which gives x = 76.\n\nThus, the final answer is x = \\boxed{76}.",
"index": 1442,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 8; g = t + 11; x = k + 19; n = j + 4; a = y + 11; p = a + 20; t = b + 6; y = q + 8; k = n + 19; q = l + 6; l = c + 9; b = 5; j = g + 12. If b = 5, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"u": "a + 14", "e": "u + 13", "y": "e + 4", "o": "y + 5", "j": "o + 14", "v": "j + 2", "q": "a + 14", "r": "q + 3", "b": "r + 13", "g": "b + 16", "i": "g + 8", "c": "i + 20", "a": 13}, "premises": {"a": 13}, "target": "v"}, "answer": {"steps": [["j", "o + 14", "o + 16"], ["o", "y + 5", "y + 21"], ["y", "e + 4", "e + 25"], ["e", "u + 13", "u + 38"], ["u", "a + 14", "a + 52"], ["a", 13, "65"]], "target_var_name": "v", "target_value": 65, "value_dict": {"a": 13}, "is_reverse": true}}
| 1,443
| 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 = a + 14; q = a + 14; o = y + 5; a = 13; y = e + 4; j = o + 14; b = r + 13; v = j + 2; c = i + 20; i = g + 8; r = q + 3; g = b + 16; e = u + 13. If a = 13, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 14 to v, which gives v = o + 16.\n2. Substitute o = y + 5 to v, which gives v = y + 21.\n3. Substitute y = e + 4 to v, which gives v = e + 25.\n4. Substitute e = u + 13 to v, which gives v = u + 38.\n5. Substitute u = a + 14 to v, which gives v = a + 52.\n6. Substitute a = 13 to v, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 1443,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 14; q = a + 14; o = y + 5; a = 13; y = e + 4; j = o + 14; b = r + 13; v = j + 2; c = i + 20; i = g + 8; r = q + 3; g = b + 16; e = u + 13. If a = 13, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"k": "m + 6", "o": "k + 6", "z": "o + 20", "h": "z + 11", "u": "h + 12", "y": "u + 4", "f": "m + 12", "c": "f + 9", "x": "c + 8", "j": "x + 9", "w": "j + 18", "q": "w + 20", "m": 20}, "premises": {"m": 20}, "target": "y"}, "answer": {"steps": [["u", "h + 12", "h + 16"], ["h", "z + 11", "z + 27"], ["z", "o + 20", "o + 47"], ["o", "k + 6", "k + 53"], ["k", "m + 6", "m + 59"], ["m", 20, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"m": 20}, "is_reverse": true}}
| 1,444
| 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 = u + 4; m = 20; j = x + 9; u = h + 12; z = o + 20; k = m + 6; h = z + 11; x = c + 8; o = k + 6; q = w + 20; c = f + 9; w = j + 18; f = m + 12. If m = 20, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 12 to y, which gives y = h + 16.\n2. Substitute h = z + 11 to y, which gives y = z + 27.\n3. Substitute z = o + 20 to y, which gives y = o + 47.\n4. Substitute o = k + 6 to y, which gives y = k + 53.\n5. Substitute k = m + 6 to y, which gives y = m + 59.\n6. Substitute m = 20 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 1444,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 4; m = 20; j = x + 9; u = h + 12; z = o + 20; k = m + 6; h = z + 11; x = c + 8; o = k + 6; q = w + 20; c = f + 9; w = j + 18; f = m + 12. If m = 20, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"j": "v + 7", "u": "j + 6", "s": "u + 3", "t": "s + 17", "g": "t + 8", "h": "g + 20", "n": "v + 9", "p": "n + 8", "d": "p + 20", "e": "d + 4", "z": "e + 4", "c": "z + 4", "v": 15}, "premises": {"v": 15}, "target": "h"}, "answer": {"steps": [["g", "t + 8", "t + 28"], ["t", "s + 17", "s + 45"], ["s", "u + 3", "u + 48"], ["u", "j + 6", "j + 54"], ["j", "v + 7", "v + 61"], ["v", 15, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"v": 15}, "is_reverse": true}}
| 1,445
| 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 = j + 6; t = s + 17; h = g + 20; n = v + 9; v = 15; g = t + 8; d = p + 20; j = v + 7; z = e + 4; c = z + 4; p = n + 8; s = u + 3; e = d + 4. If v = 15, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 8 to h, which gives h = t + 28.\n2. Substitute t = s + 17 to h, which gives h = s + 45.\n3. Substitute s = u + 3 to h, which gives h = u + 48.\n4. Substitute u = j + 6 to h, which gives h = j + 54.\n5. Substitute j = v + 7 to h, which gives h = v + 61.\n6. Substitute v = 15 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 1445,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = j + 6; t = s + 17; h = g + 20; n = v + 9; v = 15; g = t + 8; d = p + 20; j = v + 7; z = e + 4; c = z + 4; p = n + 8; s = u + 3; e = d + 4. If v = 15, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"k": "z + 20", "y": "k + 5", "o": "y + 4", "m": "o + 12", "h": "m + 14", "r": "h + 16", "g": "z + 18", "p": "g + 2", "n": "p + 3", "l": "n + 20", "b": "l + 6", "i": "b + 4", "z": 20}, "premises": {"z": 20}, "target": "r"}, "answer": {"steps": [["h", "m + 14", "m + 30"], ["m", "o + 12", "o + 42"], ["o", "y + 4", "y + 46"], ["y", "k + 5", "k + 51"], ["k", "z + 20", "z + 71"], ["z", 20, "91"]], "target_var_name": "r", "target_value": 91, "value_dict": {"z": 20}, "is_reverse": true}}
| 1,446
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = h + 16; y = k + 5; o = y + 4; g = z + 18; k = z + 20; z = 20; b = l + 6; n = p + 3; i = b + 4; p = g + 2; m = o + 12; l = n + 20; h = m + 14. Given that z = 20, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 14 to r, which gives r = m + 30.\n2. Substitute m = o + 12 to r, which gives r = o + 42.\n3. Substitute o = y + 4 to r, which gives r = y + 46.\n4. Substitute y = k + 5 to r, which gives r = k + 51.\n5. Substitute k = z + 20 to r, which gives r = z + 71.\n6. Substitute z = 20 to r, which gives r = 91.\n\nThus, the final answer is r = \\boxed{91}.",
"index": 1446,
"question": "Suppose a collection of variables is related by the following definitions: r = h + 16; y = k + 5; o = y + 4; g = z + 18; k = z + 20; z = 20; b = l + 6; n = p + 3; i = b + 4; p = g + 2; m = o + 12; l = n + 20; h = m + 14. Given that z = 20, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"k": "f + 10", "z": "k + 7", "b": "z + 12", "m": "b + 12", "h": "m + 19", "p": "h + 2", "r": "f + 18", "e": "r + 14", "o": "e + 18", "t": "o + 4", "n": "t + 12", "c": "n + 9", "f": 16}, "premises": {"f": 16}, "target": "p"}, "answer": {"steps": [["h", "m + 19", "m + 21"], ["m", "b + 12", "b + 33"], ["b", "z + 12", "z + 45"], ["z", "k + 7", "k + 52"], ["k", "f + 10", "f + 62"], ["f", 16, "78"]], "target_var_name": "p", "target_value": 78, "value_dict": {"f": 16}, "is_reverse": true}}
| 1,447
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 12; n = t + 12; r = f + 18; e = r + 14; b = z + 12; t = o + 4; f = 16; z = k + 7; c = n + 9; p = h + 2; h = m + 19; o = e + 18; k = f + 10. If f = 16, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 19 to p, which gives p = m + 21.\n2. Substitute m = b + 12 to p, which gives p = b + 33.\n3. Substitute b = z + 12 to p, which gives p = z + 45.\n4. Substitute z = k + 7 to p, which gives p = k + 52.\n5. Substitute k = f + 10 to p, which gives p = f + 62.\n6. Substitute f = 16 to p, which gives p = 78.\n\nThus, the final answer is p = \\boxed{78}.",
"index": 1447,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 12; n = t + 12; r = f + 18; e = r + 14; b = z + 12; t = o + 4; f = 16; z = k + 7; c = n + 9; p = h + 2; h = m + 19; o = e + 18; k = f + 10. If f = 16, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"r": "h + 9", "p": "r + 18", "o": "p + 1", "x": "o + 3", "a": "x + 2", "b": "a + 16", "l": "h + 3", "y": "l + 7", "t": "y + 17", "g": "t + 10", "m": "g + 18", "i": "m + 10", "h": 14}, "premises": {"h": 14}, "target": "b"}, "answer": {"steps": [["a", "x + 2", "x + 18"], ["x", "o + 3", "o + 21"], ["o", "p + 1", "p + 22"], ["p", "r + 18", "r + 40"], ["r", "h + 9", "h + 49"], ["h", 14, "63"]], "target_var_name": "b", "target_value": 63, "value_dict": {"h": 14}, "is_reverse": true}}
| 1,448
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = o + 3; r = h + 9; l = h + 3; i = m + 10; p = r + 18; m = g + 18; b = a + 16; t = y + 17; a = x + 2; o = p + 1; y = l + 7; h = 14; g = t + 10. If h = 14, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 2 to b, which gives b = x + 18.\n2. Substitute x = o + 3 to b, which gives b = o + 21.\n3. Substitute o = p + 1 to b, which gives b = p + 22.\n4. Substitute p = r + 18 to b, which gives b = r + 40.\n5. Substitute r = h + 9 to b, which gives b = h + 49.\n6. Substitute h = 14 to b, which gives b = 63.\n\nThus, the final answer is b = \\boxed{63}.",
"index": 1448,
"question": "Consider a system of variables where each variable is defined as follows: x = o + 3; r = h + 9; l = h + 3; i = m + 10; p = r + 18; m = g + 18; b = a + 16; t = y + 17; a = x + 2; o = p + 1; y = l + 7; h = 14; g = t + 10. If h = 14, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"x": "j + 15", "k": "x + 7", "h": "k + 6", "q": "h + 3", "l": "q + 12", "b": "l + 13", "e": "j + 14", "d": "e + 12", "a": "d + 3", "w": "a + 9", "t": "w + 4", "z": "t + 2", "j": 14}, "premises": {"j": 14}, "target": "b"}, "answer": {"steps": [["l", "q + 12", "q + 25"], ["q", "h + 3", "h + 28"], ["h", "k + 6", "k + 34"], ["k", "x + 7", "x + 41"], ["x", "j + 15", "j + 56"], ["j", 14, "70"]], "target_var_name": "b", "target_value": 70, "value_dict": {"j": 14}, "is_reverse": true}}
| 1,449
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = t + 2; l = q + 12; e = j + 14; k = x + 7; x = j + 15; a = d + 3; d = e + 12; q = h + 3; b = l + 13; t = w + 4; w = a + 9; j = 14; h = k + 6. If j = 14, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 12 to b, which gives b = q + 25.\n2. Substitute q = h + 3 to b, which gives b = h + 28.\n3. Substitute h = k + 6 to b, which gives b = k + 34.\n4. Substitute k = x + 7 to b, which gives b = x + 41.\n5. Substitute x = j + 15 to b, which gives b = j + 56.\n6. Substitute j = 14 to b, which gives b = 70.\n\nThus, the final answer is b = \\boxed{70}.",
"index": 1449,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = t + 2; l = q + 12; e = j + 14; k = x + 7; x = j + 15; a = d + 3; d = e + 12; q = h + 3; b = l + 13; t = w + 4; w = a + 9; j = 14; h = k + 6. If j = 14, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"e": "s + 4", "x": "e + 12", "m": "x + 3", "v": "m + 5", "i": "v + 12", "k": "i + 18", "w": "s + 17", "h": "w + 14", "f": "h + 18", "j": "f + 15", "o": "j + 9", "z": "o + 20", "s": 13}, "premises": {"s": 13}, "target": "k"}, "answer": {"steps": [["i", "v + 12", "v + 30"], ["v", "m + 5", "m + 35"], ["m", "x + 3", "x + 38"], ["x", "e + 12", "e + 50"], ["e", "s + 4", "s + 54"], ["s", 13, "67"]], "target_var_name": "k", "target_value": 67, "value_dict": {"s": 13}, "is_reverse": true}}
| 1,450
| 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 = j + 9; z = o + 20; x = e + 12; e = s + 4; f = h + 18; j = f + 15; m = x + 3; w = s + 17; v = m + 5; i = v + 12; k = i + 18; h = w + 14; s = 13. If s = 13, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 12 to k, which gives k = v + 30.\n2. Substitute v = m + 5 to k, which gives k = m + 35.\n3. Substitute m = x + 3 to k, which gives k = x + 38.\n4. Substitute x = e + 12 to k, which gives k = e + 50.\n5. Substitute e = s + 4 to k, which gives k = s + 54.\n6. Substitute s = 13 to k, which gives k = 67.\n\nThus, the final answer is k = \\boxed{67}.",
"index": 1450,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = j + 9; z = o + 20; x = e + 12; e = s + 4; f = h + 18; j = f + 15; m = x + 3; w = s + 17; v = m + 5; i = v + 12; k = i + 18; h = w + 14; s = 13. If s = 13, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"p": "b + 2", "k": "p + 10", "q": "k + 8", "i": "q + 4", "o": "i + 6", "z": "o + 18", "e": "b + 14", "f": "e + 7", "l": "f + 2", "h": "l + 18", "v": "h + 4", "r": "v + 16", "b": 11}, "premises": {"b": 11}, "target": "z"}, "answer": {"steps": [["o", "i + 6", "i + 24"], ["i", "q + 4", "q + 28"], ["q", "k + 8", "k + 36"], ["k", "p + 10", "p + 46"], ["p", "b + 2", "b + 48"], ["b", 11, "59"]], "target_var_name": "z", "target_value": 59, "value_dict": {"b": 11}, "is_reverse": true}}
| 1,451
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = b + 14; q = k + 8; l = f + 2; z = o + 18; r = v + 16; h = l + 18; v = h + 4; i = q + 4; b = 11; p = b + 2; k = p + 10; f = e + 7; o = i + 6. Given that b = 11, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = i + 6 to z, which gives z = i + 24.\n2. Substitute i = q + 4 to z, which gives z = q + 28.\n3. Substitute q = k + 8 to z, which gives z = k + 36.\n4. Substitute k = p + 10 to z, which gives z = p + 46.\n5. Substitute p = b + 2 to z, which gives z = b + 48.\n6. Substitute b = 11 to z, which gives z = 59.\n\nThus, the final answer is z = \\boxed{59}.",
"index": 1451,
"question": "Suppose a collection of variables is related by the following definitions: e = b + 14; q = k + 8; l = f + 2; z = o + 18; r = v + 16; h = l + 18; v = h + 4; i = q + 4; b = 11; p = b + 2; k = p + 10; f = e + 7; o = i + 6. Given that b = 11, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"p": "g + 9", "j": "p + 13", "i": "j + 13", "y": "i + 6", "l": "y + 9", "u": "l + 7", "x": "g + 20", "n": "x + 11", "c": "n + 10", "r": "c + 1", "e": "r + 8", "a": "e + 20", "g": 13}, "premises": {"g": 13}, "target": "u"}, "answer": {"steps": [["l", "y + 9", "y + 16"], ["y", "i + 6", "i + 22"], ["i", "j + 13", "j + 35"], ["j", "p + 13", "p + 48"], ["p", "g + 9", "g + 57"], ["g", 13, "70"]], "target_var_name": "u", "target_value": 70, "value_dict": {"g": 13}, "is_reverse": true}}
| 1,452
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = g + 9; n = x + 11; j = p + 13; i = j + 13; a = e + 20; u = l + 7; r = c + 1; l = y + 9; c = n + 10; x = g + 20; y = i + 6; e = r + 8; g = 13. If g = 13, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 9 to u, which gives u = y + 16.\n2. Substitute y = i + 6 to u, which gives u = i + 22.\n3. Substitute i = j + 13 to u, which gives u = j + 35.\n4. Substitute j = p + 13 to u, which gives u = p + 48.\n5. Substitute p = g + 9 to u, which gives u = g + 57.\n6. Substitute g = 13 to u, which gives u = 70.\n\nThus, the final answer is u = \\boxed{70}.",
"index": 1452,
"question": "Consider a system of variables where each variable is defined as follows: p = g + 9; n = x + 11; j = p + 13; i = j + 13; a = e + 20; u = l + 7; r = c + 1; l = y + 9; c = n + 10; x = g + 20; y = i + 6; e = r + 8; g = 13. If g = 13, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"a": "n + 19", "g": "a + 19", "e": "g + 12", "o": "e + 17", "m": "o + 18", "c": "m + 4", "f": "n + 7", "w": "f + 11", "l": "w + 17", "z": "l + 11", "i": "z + 14", "y": "i + 10", "n": 4}, "premises": {"n": 4}, "target": "c"}, "answer": {"steps": [["m", "o + 18", "o + 22"], ["o", "e + 17", "e + 39"], ["e", "g + 12", "g + 51"], ["g", "a + 19", "a + 70"], ["a", "n + 19", "n + 89"], ["n", 4, "93"]], "target_var_name": "c", "target_value": 93, "value_dict": {"n": 4}, "is_reverse": true}}
| 1,453
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = n + 19; g = a + 19; l = w + 17; e = g + 12; c = m + 4; m = o + 18; f = n + 7; z = l + 11; y = i + 10; n = 4; i = z + 14; w = f + 11; o = e + 17. Given that n = 4, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 18 to c, which gives c = o + 22.\n2. Substitute o = e + 17 to c, which gives c = e + 39.\n3. Substitute e = g + 12 to c, which gives c = g + 51.\n4. Substitute g = a + 19 to c, which gives c = a + 70.\n5. Substitute a = n + 19 to c, which gives c = n + 89.\n6. Substitute n = 4 to c, which gives c = 93.\n\nThus, the final answer is c = \\boxed{93}.",
"index": 1453,
"question": "Suppose a collection of variables is related by the following definitions: a = n + 19; g = a + 19; l = w + 17; e = g + 12; c = m + 4; m = o + 18; f = n + 7; z = l + 11; y = i + 10; n = 4; i = z + 14; w = f + 11; o = e + 17. Given that n = 4, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"c": "l + 7", "b": "c + 3", "k": "b + 18", "e": "k + 13", "i": "e + 10", "y": "i + 4", "s": "l + 20", "n": "s + 6", "m": "n + 14", "r": "m + 12", "g": "r + 6", "t": "g + 19", "l": 4}, "premises": {"l": 4}, "target": "y"}, "answer": {"steps": [["i", "e + 10", "e + 14"], ["e", "k + 13", "k + 27"], ["k", "b + 18", "b + 45"], ["b", "c + 3", "c + 48"], ["c", "l + 7", "l + 55"], ["l", 4, "59"]], "target_var_name": "y", "target_value": 59, "value_dict": {"l": 4}, "is_reverse": true}}
| 1,454
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = 4; k = b + 18; e = k + 13; r = m + 12; s = l + 20; c = l + 7; n = s + 6; i = e + 10; y = i + 4; b = c + 3; m = n + 14; g = r + 6; t = g + 19. Given that l = 4, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 10 to y, which gives y = e + 14.\n2. Substitute e = k + 13 to y, which gives y = k + 27.\n3. Substitute k = b + 18 to y, which gives y = b + 45.\n4. Substitute b = c + 3 to y, which gives y = c + 48.\n5. Substitute c = l + 7 to y, which gives y = l + 55.\n6. Substitute l = 4 to y, which gives y = 59.\n\nThus, the final answer is y = \\boxed{59}.",
"index": 1454,
"question": "Suppose a collection of variables is related by the following definitions: l = 4; k = b + 18; e = k + 13; r = m + 12; s = l + 20; c = l + 7; n = s + 6; i = e + 10; y = i + 4; b = c + 3; m = n + 14; g = r + 6; t = g + 19. Given that l = 4, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"f": "h + 4", "y": "f + 7", "n": "y + 18", "o": "n + 15", "t": "o + 3", "j": "t + 16", "q": "h + 9", "r": "q + 15", "x": "r + 9", "z": "x + 18", "u": "z + 11", "d": "u + 4", "h": 5}, "premises": {"h": 5}, "target": "j"}, "answer": {"steps": [["t", "o + 3", "o + 19"], ["o", "n + 15", "n + 34"], ["n", "y + 18", "y + 52"], ["y", "f + 7", "f + 59"], ["f", "h + 4", "h + 63"], ["h", 5, "68"]], "target_var_name": "j", "target_value": 68, "value_dict": {"h": 5}, "is_reverse": true}}
| 1,455
| 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 = h + 4; y = f + 7; o = n + 15; z = x + 18; r = q + 15; u = z + 11; t = o + 3; j = t + 16; x = r + 9; n = y + 18; q = h + 9; d = u + 4; h = 5. If h = 5, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 3 to j, which gives j = o + 19.\n2. Substitute o = n + 15 to j, which gives j = n + 34.\n3. Substitute n = y + 18 to j, which gives j = y + 52.\n4. Substitute y = f + 7 to j, which gives j = f + 59.\n5. Substitute f = h + 4 to j, which gives j = h + 63.\n6. Substitute h = 5 to j, which gives j = 68.\n\nThus, the final answer is j = \\boxed{68}.",
"index": 1455,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 4; y = f + 7; o = n + 15; z = x + 18; r = q + 15; u = z + 11; t = o + 3; j = t + 16; x = r + 9; n = y + 18; q = h + 9; d = u + 4; h = 5. If h = 5, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"u": "m + 4", "j": "u + 9", "x": "j + 3", "r": "x + 18", "h": "r + 19", "c": "h + 1", "l": "m + 4", "a": "l + 13", "f": "a + 1", "g": "f + 19", "p": "g + 16", "n": "p + 19", "m": 16}, "premises": {"m": 16}, "target": "c"}, "answer": {"steps": [["h", "r + 19", "r + 20"], ["r", "x + 18", "x + 38"], ["x", "j + 3", "j + 41"], ["j", "u + 9", "u + 50"], ["u", "m + 4", "m + 54"], ["m", 16, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"m": 16}, "is_reverse": true}}
| 1,456
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = g + 16; l = m + 4; h = r + 19; u = m + 4; x = j + 3; f = a + 1; c = h + 1; r = x + 18; n = p + 19; g = f + 19; j = u + 9; a = l + 13; m = 16. If m = 16, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 19 to c, which gives c = r + 20.\n2. Substitute r = x + 18 to c, which gives c = x + 38.\n3. Substitute x = j + 3 to c, which gives c = j + 41.\n4. Substitute j = u + 9 to c, which gives c = u + 50.\n5. Substitute u = m + 4 to c, which gives c = m + 54.\n6. Substitute m = 16 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 1456,
"question": "Consider a system of variables where each variable is defined as follows: p = g + 16; l = m + 4; h = r + 19; u = m + 4; x = j + 3; f = a + 1; c = h + 1; r = x + 18; n = p + 19; g = f + 19; j = u + 9; a = l + 13; m = 16. If m = 16, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"v": "y + 18", "m": "v + 15", "i": "m + 11", "n": "i + 6", "h": "n + 3", "r": "h + 6", "k": "y + 2", "o": "k + 4", "s": "o + 17", "l": "s + 19", "j": "l + 10", "f": "j + 6", "y": 20}, "premises": {"y": 20}, "target": "r"}, "answer": {"steps": [["h", "n + 3", "n + 9"], ["n", "i + 6", "i + 15"], ["i", "m + 11", "m + 26"], ["m", "v + 15", "v + 41"], ["v", "y + 18", "y + 59"], ["y", 20, "79"]], "target_var_name": "r", "target_value": 79, "value_dict": {"y": 20}, "is_reverse": true}}
| 1,457
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = n + 3; f = j + 6; j = l + 10; v = y + 18; s = o + 17; l = s + 19; m = v + 15; r = h + 6; o = k + 4; y = 20; i = m + 11; n = i + 6; k = y + 2. If y = 20, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 3 to r, which gives r = n + 9.\n2. Substitute n = i + 6 to r, which gives r = i + 15.\n3. Substitute i = m + 11 to r, which gives r = m + 26.\n4. Substitute m = v + 15 to r, which gives r = v + 41.\n5. Substitute v = y + 18 to r, which gives r = y + 59.\n6. Substitute y = 20 to r, which gives r = 79.\n\nThus, the final answer is r = \\boxed{79}.",
"index": 1457,
"question": "Consider a system of variables where each variable is defined as follows: h = n + 3; f = j + 6; j = l + 10; v = y + 18; s = o + 17; l = s + 19; m = v + 15; r = h + 6; o = k + 4; y = 20; i = m + 11; n = i + 6; k = y + 2. If y = 20, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"n": "x + 13", "k": "n + 16", "f": "k + 16", "q": "f + 5", "b": "q + 13", "v": "b + 11", "t": "x + 19", "c": "t + 15", "r": "c + 17", "s": "r + 14", "g": "s + 15", "m": "g + 4", "x": 18}, "premises": {"x": 18}, "target": "v"}, "answer": {"steps": [["b", "q + 13", "q + 24"], ["q", "f + 5", "f + 29"], ["f", "k + 16", "k + 45"], ["k", "n + 16", "n + 61"], ["n", "x + 13", "x + 74"], ["x", 18, "92"]], "target_var_name": "v", "target_value": 92, "value_dict": {"x": 18}, "is_reverse": true}}
| 1,458
| 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 = 18; m = g + 4; q = f + 5; t = x + 19; c = t + 15; s = r + 14; n = x + 13; b = q + 13; k = n + 16; r = c + 17; f = k + 16; v = b + 11; g = s + 15. If x = 18, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 13 to v, which gives v = q + 24.\n2. Substitute q = f + 5 to v, which gives v = f + 29.\n3. Substitute f = k + 16 to v, which gives v = k + 45.\n4. Substitute k = n + 16 to v, which gives v = n + 61.\n5. Substitute n = x + 13 to v, which gives v = x + 74.\n6. Substitute x = 18 to v, which gives v = 92.\n\nThus, the final answer is v = \\boxed{92}.",
"index": 1458,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 18; m = g + 4; q = f + 5; t = x + 19; c = t + 15; s = r + 14; n = x + 13; b = q + 13; k = n + 16; r = c + 17; f = k + 16; v = b + 11; g = s + 15. If x = 18, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"f": "b + 9", "s": "f + 16", "w": "s + 3", "h": "w + 20", "q": "h + 14", "z": "q + 6", "a": "b + 20", "i": "a + 3", "e": "i + 19", "k": "e + 2", "v": "k + 10", "u": "v + 12", "b": 20}, "premises": {"b": 20}, "target": "z"}, "answer": {"steps": [["q", "h + 14", "h + 20"], ["h", "w + 20", "w + 40"], ["w", "s + 3", "s + 43"], ["s", "f + 16", "f + 59"], ["f", "b + 9", "b + 68"], ["b", 20, "88"]], "target_var_name": "z", "target_value": 88, "value_dict": {"b": 20}, "is_reverse": true}}
| 1,459
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = h + 14; f = b + 9; w = s + 3; v = k + 10; e = i + 19; h = w + 20; b = 20; s = f + 16; i = a + 3; u = v + 12; z = q + 6; k = e + 2; a = b + 20. If b = 20, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 14 to z, which gives z = h + 20.\n2. Substitute h = w + 20 to z, which gives z = w + 40.\n3. Substitute w = s + 3 to z, which gives z = s + 43.\n4. Substitute s = f + 16 to z, which gives z = f + 59.\n5. Substitute f = b + 9 to z, which gives z = b + 68.\n6. Substitute b = 20 to z, which gives z = 88.\n\nThus, the final answer is z = \\boxed{88}.",
"index": 1459,
"question": "Consider a system of variables where each variable is defined as follows: q = h + 14; f = b + 9; w = s + 3; v = k + 10; e = i + 19; h = w + 20; b = 20; s = f + 16; i = a + 3; u = v + 12; z = q + 6; k = e + 2; a = b + 20. If b = 20, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"x": "u + 19", "c": "x + 8", "m": "c + 17", "i": "m + 7", "t": "i + 10", "b": "t + 13", "l": "u + 16", "q": "l + 8", "y": "q + 1", "o": "y + 20", "p": "o + 4", "g": "p + 6", "u": 17}, "premises": {"u": 17}, "target": "b"}, "answer": {"steps": [["t", "i + 10", "i + 23"], ["i", "m + 7", "m + 30"], ["m", "c + 17", "c + 47"], ["c", "x + 8", "x + 55"], ["x", "u + 19", "u + 74"], ["u", 17, "91"]], "target_var_name": "b", "target_value": 91, "value_dict": {"u": 17}, "is_reverse": true}}
| 1,460
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = y + 20; l = u + 16; g = p + 6; x = u + 19; y = q + 1; c = x + 8; q = l + 8; i = m + 7; b = t + 13; p = o + 4; m = c + 17; t = i + 10; u = 17. If u = 17, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 10 to b, which gives b = i + 23.\n2. Substitute i = m + 7 to b, which gives b = m + 30.\n3. Substitute m = c + 17 to b, which gives b = c + 47.\n4. Substitute c = x + 8 to b, which gives b = x + 55.\n5. Substitute x = u + 19 to b, which gives b = u + 74.\n6. Substitute u = 17 to b, which gives b = 91.\n\nThus, the final answer is b = \\boxed{91}.",
"index": 1460,
"question": "Consider a system of variables where each variable is defined as follows: o = y + 20; l = u + 16; g = p + 6; x = u + 19; y = q + 1; c = x + 8; q = l + 8; i = m + 7; b = t + 13; p = o + 4; m = c + 17; t = i + 10; u = 17. If u = 17, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"j": "p + 15", "e": "j + 14", "o": "e + 4", "u": "o + 11", "h": "u + 10", "b": "h + 13", "v": "p + 16", "g": "v + 2", "a": "g + 12", "z": "a + 7", "i": "z + 13", "l": "i + 9", "p": 9}, "premises": {"p": 9}, "target": "b"}, "answer": {"steps": [["h", "u + 10", "u + 23"], ["u", "o + 11", "o + 34"], ["o", "e + 4", "e + 38"], ["e", "j + 14", "j + 52"], ["j", "p + 15", "p + 67"], ["p", 9, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"p": 9}, "is_reverse": true}}
| 1,461
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = e + 4; h = u + 10; z = a + 7; g = v + 2; e = j + 14; b = h + 13; p = 9; j = p + 15; v = p + 16; l = i + 9; i = z + 13; u = o + 11; a = g + 12. Given that p = 9, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 10 to b, which gives b = u + 23.\n2. Substitute u = o + 11 to b, which gives b = o + 34.\n3. Substitute o = e + 4 to b, which gives b = e + 38.\n4. Substitute e = j + 14 to b, which gives b = j + 52.\n5. Substitute j = p + 15 to b, which gives b = p + 67.\n6. Substitute p = 9 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 1461,
"question": "Suppose a collection of variables is related by the following definitions: o = e + 4; h = u + 10; z = a + 7; g = v + 2; e = j + 14; b = h + 13; p = 9; j = p + 15; v = p + 16; l = i + 9; i = z + 13; u = o + 11; a = g + 12. Given that p = 9, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"z": "i + 5", "u": "z + 15", "b": "u + 11", "l": "b + 13", "e": "l + 13", "j": "e + 7", "g": "i + 14", "x": "g + 9", "c": "x + 9", "p": "c + 20", "d": "p + 7", "r": "d + 9", "i": 15}, "premises": {"i": 15}, "target": "j"}, "answer": {"steps": [["e", "l + 13", "l + 20"], ["l", "b + 13", "b + 33"], ["b", "u + 11", "u + 44"], ["u", "z + 15", "z + 59"], ["z", "i + 5", "i + 64"], ["i", 15, "79"]], "target_var_name": "j", "target_value": 79, "value_dict": {"i": 15}, "is_reverse": true}}
| 1,462
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = d + 9; c = x + 9; b = u + 11; z = i + 5; d = p + 7; u = z + 15; p = c + 20; i = 15; j = e + 7; g = i + 14; l = b + 13; x = g + 9; e = l + 13. Given that i = 15, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 13 to j, which gives j = l + 20.\n2. Substitute l = b + 13 to j, which gives j = b + 33.\n3. Substitute b = u + 11 to j, which gives j = u + 44.\n4. Substitute u = z + 15 to j, which gives j = z + 59.\n5. Substitute z = i + 5 to j, which gives j = i + 64.\n6. Substitute i = 15 to j, which gives j = 79.\n\nThus, the final answer is j = \\boxed{79}.",
"index": 1462,
"question": "Suppose a collection of variables is related by the following definitions: r = d + 9; c = x + 9; b = u + 11; z = i + 5; d = p + 7; u = z + 15; p = c + 20; i = 15; j = e + 7; g = i + 14; l = b + 13; x = g + 9; e = l + 13. Given that i = 15, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"x": "q + 1", "m": "x + 11", "s": "m + 13", "f": "s + 17", "t": "f + 4", "w": "t + 2", "k": "q + 6", "j": "k + 7", "p": "j + 19", "d": "p + 4", "y": "d + 19", "u": "y + 8", "q": 13}, "premises": {"q": 13}, "target": "w"}, "answer": {"steps": [["t", "f + 4", "f + 6"], ["f", "s + 17", "s + 23"], ["s", "m + 13", "m + 36"], ["m", "x + 11", "x + 47"], ["x", "q + 1", "q + 48"], ["q", 13, "61"]], "target_var_name": "w", "target_value": 61, "value_dict": {"q": 13}, "is_reverse": true}}
| 1,463
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = x + 11; q = 13; u = y + 8; t = f + 4; f = s + 17; s = m + 13; j = k + 7; y = d + 19; p = j + 19; k = q + 6; d = p + 4; w = t + 2; x = q + 1. Given that q = 13, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = f + 4 to w, which gives w = f + 6.\n2. Substitute f = s + 17 to w, which gives w = s + 23.\n3. Substitute s = m + 13 to w, which gives w = m + 36.\n4. Substitute m = x + 11 to w, which gives w = x + 47.\n5. Substitute x = q + 1 to w, which gives w = q + 48.\n6. Substitute q = 13 to w, which gives w = 61.\n\nThus, the final answer is w = \\boxed{61}.",
"index": 1463,
"question": "Suppose a collection of variables is related by the following definitions: m = x + 11; q = 13; u = y + 8; t = f + 4; f = s + 17; s = m + 13; j = k + 7; y = d + 19; p = j + 19; k = q + 6; d = p + 4; w = t + 2; x = q + 1. Given that q = 13, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"e": "g + 2", "x": "e + 8", "m": "x + 6", "f": "m + 2", "t": "f + 9", "h": "t + 16", "w": "g + 3", "j": "w + 14", "s": "j + 9", "a": "s + 6", "l": "a + 12", "i": "l + 1", "g": 9}, "premises": {"g": 9}, "target": "h"}, "answer": {"steps": [["t", "f + 9", "f + 25"], ["f", "m + 2", "m + 27"], ["m", "x + 6", "x + 33"], ["x", "e + 8", "e + 41"], ["e", "g + 2", "g + 43"], ["g", 9, "52"]], "target_var_name": "h", "target_value": 52, "value_dict": {"g": 9}, "is_reverse": true}}
| 1,464
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = e + 8; w = g + 3; f = m + 2; t = f + 9; l = a + 12; i = l + 1; a = s + 6; g = 9; s = j + 9; j = w + 14; m = x + 6; e = g + 2; h = t + 16. If g = 9, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = f + 9 to h, which gives h = f + 25.\n2. Substitute f = m + 2 to h, which gives h = m + 27.\n3. Substitute m = x + 6 to h, which gives h = x + 33.\n4. Substitute x = e + 8 to h, which gives h = e + 41.\n5. Substitute e = g + 2 to h, which gives h = g + 43.\n6. Substitute g = 9 to h, which gives h = 52.\n\nThus, the final answer is h = \\boxed{52}.",
"index": 1464,
"question": "Consider a system of variables where each variable is defined as follows: x = e + 8; w = g + 3; f = m + 2; t = f + 9; l = a + 12; i = l + 1; a = s + 6; g = 9; s = j + 9; j = w + 14; m = x + 6; e = g + 2; h = t + 16. If g = 9, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"y": "v + 16", "r": "y + 13", "l": "r + 7", "f": "l + 20", "n": "f + 12", "m": "n + 6", "k": "v + 17", "t": "k + 17", "a": "t + 15", "c": "a + 17", "x": "c + 4", "g": "x + 16", "v": 20}, "premises": {"v": 20}, "target": "m"}, "answer": {"steps": [["n", "f + 12", "f + 18"], ["f", "l + 20", "l + 38"], ["l", "r + 7", "r + 45"], ["r", "y + 13", "y + 58"], ["y", "v + 16", "v + 74"], ["v", 20, "94"]], "target_var_name": "m", "target_value": 94, "value_dict": {"v": 20}, "is_reverse": true}}
| 1,465
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = t + 15; g = x + 16; r = y + 13; x = c + 4; t = k + 17; f = l + 20; y = v + 16; m = n + 6; l = r + 7; v = 20; n = f + 12; c = a + 17; k = v + 17. Given that v = 20, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 12 to m, which gives m = f + 18.\n2. Substitute f = l + 20 to m, which gives m = l + 38.\n3. Substitute l = r + 7 to m, which gives m = r + 45.\n4. Substitute r = y + 13 to m, which gives m = y + 58.\n5. Substitute y = v + 16 to m, which gives m = v + 74.\n6. Substitute v = 20 to m, which gives m = 94.\n\nThus, the final answer is m = \\boxed{94}.",
"index": 1465,
"question": "Suppose a collection of variables is related by the following definitions: a = t + 15; g = x + 16; r = y + 13; x = c + 4; t = k + 17; f = l + 20; y = v + 16; m = n + 6; l = r + 7; v = 20; n = f + 12; c = a + 17; k = v + 17. Given that v = 20, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"f": "o + 16", "d": "f + 18", "e": "d + 8", "c": "e + 3", "j": "c + 16", "q": "j + 1", "n": "o + 14", "t": "n + 1", "w": "t + 5", "m": "w + 12", "b": "m + 18", "h": "b + 4", "o": 15}, "premises": {"o": 15}, "target": "q"}, "answer": {"steps": [["j", "c + 16", "c + 17"], ["c", "e + 3", "e + 20"], ["e", "d + 8", "d + 28"], ["d", "f + 18", "f + 46"], ["f", "o + 16", "o + 62"], ["o", 15, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"o": 15}, "is_reverse": true}}
| 1,466
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = e + 3; t = n + 1; m = w + 12; w = t + 5; d = f + 18; e = d + 8; h = b + 4; q = j + 1; b = m + 18; f = o + 16; n = o + 14; j = c + 16; o = 15. If o = 15, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 16 to q, which gives q = c + 17.\n2. Substitute c = e + 3 to q, which gives q = e + 20.\n3. Substitute e = d + 8 to q, which gives q = d + 28.\n4. Substitute d = f + 18 to q, which gives q = f + 46.\n5. Substitute f = o + 16 to q, which gives q = o + 62.\n6. Substitute o = 15 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 1466,
"question": "Consider a system of variables where each variable is defined as follows: c = e + 3; t = n + 1; m = w + 12; w = t + 5; d = f + 18; e = d + 8; h = b + 4; q = j + 1; b = m + 18; f = o + 16; n = o + 14; j = c + 16; o = 15. If o = 15, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"f": "d + 12", "q": "f + 15", "h": "q + 4", "m": "h + 10", "j": "m + 6", "n": "j + 13", "g": "d + 16", "a": "g + 7", "k": "a + 14", "b": "k + 5", "x": "b + 19", "e": "x + 14", "d": 8}, "premises": {"d": 8}, "target": "n"}, "answer": {"steps": [["j", "m + 6", "m + 19"], ["m", "h + 10", "h + 29"], ["h", "q + 4", "q + 33"], ["q", "f + 15", "f + 48"], ["f", "d + 12", "d + 60"], ["d", 8, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"d": 8}, "is_reverse": true}}
| 1,467
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = m + 6; q = f + 15; n = j + 13; f = d + 12; a = g + 7; d = 8; g = d + 16; b = k + 5; k = a + 14; x = b + 19; h = q + 4; m = h + 10; e = x + 14. Given that d = 8, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 6 to n, which gives n = m + 19.\n2. Substitute m = h + 10 to n, which gives n = h + 29.\n3. Substitute h = q + 4 to n, which gives n = q + 33.\n4. Substitute q = f + 15 to n, which gives n = f + 48.\n5. Substitute f = d + 12 to n, which gives n = d + 60.\n6. Substitute d = 8 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 1467,
"question": "Suppose a collection of variables is related by the following definitions: j = m + 6; q = f + 15; n = j + 13; f = d + 12; a = g + 7; d = 8; g = d + 16; b = k + 5; k = a + 14; x = b + 19; h = q + 4; m = h + 10; e = x + 14. Given that d = 8, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"c": "m + 8", "e": "c + 13", "l": "e + 10", "s": "l + 16", "w": "s + 8", "a": "w + 17", "d": "m + 1", "i": "d + 14", "o": "i + 17", "k": "o + 19", "z": "k + 4", "t": "z + 15", "m": 9}, "premises": {"m": 9}, "target": "a"}, "answer": {"steps": [["w", "s + 8", "s + 25"], ["s", "l + 16", "l + 41"], ["l", "e + 10", "e + 51"], ["e", "c + 13", "c + 64"], ["c", "m + 8", "m + 72"], ["m", 9, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"m": 9}, "is_reverse": true}}
| 1,468
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = e + 10; e = c + 13; m = 9; z = k + 4; i = d + 14; c = m + 8; o = i + 17; s = l + 16; a = w + 17; w = s + 8; k = o + 19; t = z + 15; d = m + 1. Given that m = 9, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 8 to a, which gives a = s + 25.\n2. Substitute s = l + 16 to a, which gives a = l + 41.\n3. Substitute l = e + 10 to a, which gives a = e + 51.\n4. Substitute e = c + 13 to a, which gives a = c + 64.\n5. Substitute c = m + 8 to a, which gives a = m + 72.\n6. Substitute m = 9 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 1468,
"question": "Suppose a collection of variables is related by the following definitions: l = e + 10; e = c + 13; m = 9; z = k + 4; i = d + 14; c = m + 8; o = i + 17; s = l + 16; a = w + 17; w = s + 8; k = o + 19; t = z + 15; d = m + 1. Given that m = 9, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"w": "r + 3", "x": "w + 16", "e": "x + 13", "n": "e + 7", "p": "n + 19", "a": "p + 12", "u": "r + 13", "b": "u + 13", "k": "b + 11", "d": "k + 19", "g": "d + 17", "h": "g + 12", "r": 10}, "premises": {"r": 10}, "target": "a"}, "answer": {"steps": [["p", "n + 19", "n + 31"], ["n", "e + 7", "e + 38"], ["e", "x + 13", "x + 51"], ["x", "w + 16", "w + 67"], ["w", "r + 3", "r + 70"], ["r", 10, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"r": 10}, "is_reverse": true}}
| 1,469
| 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 = r + 13; d = k + 19; a = p + 12; g = d + 17; n = e + 7; p = n + 19; b = u + 13; x = w + 16; e = x + 13; r = 10; w = r + 3; k = b + 11; h = g + 12. If r = 10, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 19 to a, which gives a = n + 31.\n2. Substitute n = e + 7 to a, which gives a = e + 38.\n3. Substitute e = x + 13 to a, which gives a = x + 51.\n4. Substitute x = w + 16 to a, which gives a = w + 67.\n5. Substitute w = r + 3 to a, which gives a = r + 70.\n6. Substitute r = 10 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 1469,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 13; d = k + 19; a = p + 12; g = d + 17; n = e + 7; p = n + 19; b = u + 13; x = w + 16; e = x + 13; r = 10; w = r + 3; k = b + 11; h = g + 12. If r = 10, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"r": "j + 8", "o": "r + 1", "q": "o + 4", "c": "q + 1", "n": "c + 4", "k": "n + 17", "b": "j + 7", "w": "b + 17", "a": "w + 6", "m": "a + 9", "u": "m + 16", "i": "u + 8", "j": 16}, "premises": {"j": 16}, "target": "k"}, "answer": {"steps": [["n", "c + 4", "c + 21"], ["c", "q + 1", "q + 22"], ["q", "o + 4", "o + 26"], ["o", "r + 1", "r + 27"], ["r", "j + 8", "j + 35"], ["j", 16, "51"]], "target_var_name": "k", "target_value": 51, "value_dict": {"j": 16}, "is_reverse": true}}
| 1,470
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = c + 4; q = o + 4; u = m + 16; a = w + 6; m = a + 9; b = j + 7; w = b + 17; c = q + 1; r = j + 8; k = n + 17; o = r + 1; i = u + 8; j = 16. If j = 16, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 4 to k, which gives k = c + 21.\n2. Substitute c = q + 1 to k, which gives k = q + 22.\n3. Substitute q = o + 4 to k, which gives k = o + 26.\n4. Substitute o = r + 1 to k, which gives k = r + 27.\n5. Substitute r = j + 8 to k, which gives k = j + 35.\n6. Substitute j = 16 to k, which gives k = 51.\n\nThus, the final answer is k = \\boxed{51}.",
"index": 1470,
"question": "Consider a system of variables where each variable is defined as follows: n = c + 4; q = o + 4; u = m + 16; a = w + 6; m = a + 9; b = j + 7; w = b + 17; c = q + 1; r = j + 8; k = n + 17; o = r + 1; i = u + 8; j = 16. If j = 16, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"i": "f + 6", "h": "i + 6", "b": "h + 19", "u": "b + 4", "j": "u + 19", "o": "j + 11", "t": "f + 1", "s": "t + 6", "c": "s + 3", "g": "c + 18", "p": "g + 8", "q": "p + 19", "f": 15}, "premises": {"f": 15}, "target": "o"}, "answer": {"steps": [["j", "u + 19", "u + 30"], ["u", "b + 4", "b + 34"], ["b", "h + 19", "h + 53"], ["h", "i + 6", "i + 59"], ["i", "f + 6", "f + 65"], ["f", 15, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"f": 15}, "is_reverse": true}}
| 1,471
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = f + 1; i = f + 6; p = g + 8; c = s + 3; q = p + 19; j = u + 19; u = b + 4; s = t + 6; g = c + 18; h = i + 6; f = 15; b = h + 19; o = j + 11. If f = 15, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 19 to o, which gives o = u + 30.\n2. Substitute u = b + 4 to o, which gives o = b + 34.\n3. Substitute b = h + 19 to o, which gives o = h + 53.\n4. Substitute h = i + 6 to o, which gives o = i + 59.\n5. Substitute i = f + 6 to o, which gives o = f + 65.\n6. Substitute f = 15 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 1471,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = f + 1; i = f + 6; p = g + 8; c = s + 3; q = p + 19; j = u + 19; u = b + 4; s = t + 6; g = c + 18; h = i + 6; f = 15; b = h + 19; o = j + 11. If f = 15, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"y": "e + 5", "l": "y + 1", "u": "l + 11", "a": "u + 20", "i": "a + 20", "g": "i + 15", "c": "e + 17", "t": "c + 1", "j": "t + 6", "v": "j + 12", "x": "v + 5", "m": "x + 2", "e": 17}, "premises": {"e": 17}, "target": "g"}, "answer": {"steps": [["i", "a + 20", "a + 35"], ["a", "u + 20", "u + 55"], ["u", "l + 11", "l + 66"], ["l", "y + 1", "y + 67"], ["y", "e + 5", "e + 72"], ["e", 17, "89"]], "target_var_name": "g", "target_value": 89, "value_dict": {"e": 17}, "is_reverse": true}}
| 1,472
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = x + 2; v = j + 12; l = y + 1; c = e + 17; t = c + 1; g = i + 15; a = u + 20; x = v + 5; i = a + 20; y = e + 5; e = 17; u = l + 11; j = t + 6. If e = 17, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 20 to g, which gives g = a + 35.\n2. Substitute a = u + 20 to g, which gives g = u + 55.\n3. Substitute u = l + 11 to g, which gives g = l + 66.\n4. Substitute l = y + 1 to g, which gives g = y + 67.\n5. Substitute y = e + 5 to g, which gives g = e + 72.\n6. Substitute e = 17 to g, which gives g = 89.\n\nThus, the final answer is g = \\boxed{89}.",
"index": 1472,
"question": "Consider a system of variables where each variable is defined as follows: m = x + 2; v = j + 12; l = y + 1; c = e + 17; t = c + 1; g = i + 15; a = u + 20; x = v + 5; i = a + 20; y = e + 5; e = 17; u = l + 11; j = t + 6. If e = 17, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"a": "i + 20", "j": "a + 13", "b": "j + 14", "s": "b + 6", "q": "s + 14", "o": "q + 5", "y": "i + 15", "r": "y + 12", "u": "r + 14", "p": "u + 12", "g": "p + 17", "h": "g + 1", "i": 8}, "premises": {"i": 8}, "target": "o"}, "answer": {"steps": [["q", "s + 14", "s + 19"], ["s", "b + 6", "b + 25"], ["b", "j + 14", "j + 39"], ["j", "a + 13", "a + 52"], ["a", "i + 20", "i + 72"], ["i", 8, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"i": 8}, "is_reverse": true}}
| 1,473
| 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 = j + 14; q = s + 14; g = p + 17; a = i + 20; h = g + 1; s = b + 6; u = r + 14; r = y + 12; y = i + 15; o = q + 5; p = u + 12; i = 8; j = a + 13. If i = 8, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 14 to o, which gives o = s + 19.\n2. Substitute s = b + 6 to o, which gives o = b + 25.\n3. Substitute b = j + 14 to o, which gives o = j + 39.\n4. Substitute j = a + 13 to o, which gives o = a + 52.\n5. Substitute a = i + 20 to o, which gives o = i + 72.\n6. Substitute i = 8 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 1473,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 14; q = s + 14; g = p + 17; a = i + 20; h = g + 1; s = b + 6; u = r + 14; r = y + 12; y = i + 15; o = q + 5; p = u + 12; i = 8; j = a + 13. If i = 8, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"i": "h + 8", "g": "i + 20", "b": "g + 5", "w": "b + 9", "j": "w + 6", "m": "j + 15", "l": "h + 7", "v": "l + 15", "u": "v + 13", "e": "u + 11", "x": "e + 12", "s": "x + 19", "h": 18}, "premises": {"h": 18}, "target": "m"}, "answer": {"steps": [["j", "w + 6", "w + 21"], ["w", "b + 9", "b + 30"], ["b", "g + 5", "g + 35"], ["g", "i + 20", "i + 55"], ["i", "h + 8", "h + 63"], ["h", 18, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"h": 18}, "is_reverse": true}}
| 1,474
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 11; s = x + 19; u = v + 13; j = w + 6; b = g + 5; m = j + 15; l = h + 7; i = h + 8; g = i + 20; v = l + 15; w = b + 9; x = e + 12; h = 18. If h = 18, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 6 to m, which gives m = w + 21.\n2. Substitute w = b + 9 to m, which gives m = b + 30.\n3. Substitute b = g + 5 to m, which gives m = g + 35.\n4. Substitute g = i + 20 to m, which gives m = i + 55.\n5. Substitute i = h + 8 to m, which gives m = h + 63.\n6. Substitute h = 18 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 1474,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 11; s = x + 19; u = v + 13; j = w + 6; b = g + 5; m = j + 15; l = h + 7; i = h + 8; g = i + 20; v = l + 15; w = b + 9; x = e + 12; h = 18. If h = 18, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"n": "u + 13", "t": "n + 19", "m": "t + 14", "j": "m + 16", "w": "j + 1", "l": "w + 2", "b": "u + 4", "k": "b + 20", "p": "k + 10", "y": "p + 7", "x": "y + 5", "o": "x + 18", "u": 11}, "premises": {"u": 11}, "target": "l"}, "answer": {"steps": [["w", "j + 1", "j + 3"], ["j", "m + 16", "m + 19"], ["m", "t + 14", "t + 33"], ["t", "n + 19", "n + 52"], ["n", "u + 13", "u + 65"], ["u", 11, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"u": 11}, "is_reverse": true}}
| 1,475
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = b + 20; u = 11; m = t + 14; w = j + 1; l = w + 2; p = k + 10; j = m + 16; n = u + 13; b = u + 4; x = y + 5; t = n + 19; o = x + 18; y = p + 7. If u = 11, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 1 to l, which gives l = j + 3.\n2. Substitute j = m + 16 to l, which gives l = m + 19.\n3. Substitute m = t + 14 to l, which gives l = t + 33.\n4. Substitute t = n + 19 to l, which gives l = n + 52.\n5. Substitute n = u + 13 to l, which gives l = u + 65.\n6. Substitute u = 11 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 1475,
"question": "Consider a system of variables where each variable is defined as follows: k = b + 20; u = 11; m = t + 14; w = j + 1; l = w + 2; p = k + 10; j = m + 16; n = u + 13; b = u + 4; x = y + 5; t = n + 19; o = x + 18; y = p + 7. If u = 11, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"f": "g + 4", "a": "f + 2", "u": "a + 2", "h": "u + 16", "o": "h + 11", "k": "o + 1", "y": "g + 18", "r": "y + 18", "m": "r + 18", "d": "m + 4", "w": "d + 2", "p": "w + 3", "g": 9}, "premises": {"g": 9}, "target": "k"}, "answer": {"steps": [["o", "h + 11", "h + 12"], ["h", "u + 16", "u + 28"], ["u", "a + 2", "a + 30"], ["a", "f + 2", "f + 32"], ["f", "g + 4", "g + 36"], ["g", 9, "45"]], "target_var_name": "k", "target_value": 45, "value_dict": {"g": 9}, "is_reverse": true}}
| 1,476
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = u + 16; d = m + 4; w = d + 2; m = r + 18; g = 9; r = y + 18; o = h + 11; k = o + 1; a = f + 2; y = g + 18; p = w + 3; u = a + 2; f = g + 4. Given that g = 9, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 11 to k, which gives k = h + 12.\n2. Substitute h = u + 16 to k, which gives k = u + 28.\n3. Substitute u = a + 2 to k, which gives k = a + 30.\n4. Substitute a = f + 2 to k, which gives k = f + 32.\n5. Substitute f = g + 4 to k, which gives k = g + 36.\n6. Substitute g = 9 to k, which gives k = 45.\n\nThus, the final answer is k = \\boxed{45}.",
"index": 1476,
"question": "Suppose a collection of variables is related by the following definitions: h = u + 16; d = m + 4; w = d + 2; m = r + 18; g = 9; r = y + 18; o = h + 11; k = o + 1; a = f + 2; y = g + 18; p = w + 3; u = a + 2; f = g + 4. Given that g = 9, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"p": "f + 14", "o": "p + 11", "i": "o + 3", "z": "i + 1", "n": "z + 2", "b": "n + 5", "t": "f + 5", "q": "t + 17", "u": "q + 2", "g": "u + 5", "x": "g + 19", "l": "x + 12", "f": 7}, "premises": {"f": 7}, "target": "b"}, "answer": {"steps": [["n", "z + 2", "z + 7"], ["z", "i + 1", "i + 8"], ["i", "o + 3", "o + 11"], ["o", "p + 11", "p + 22"], ["p", "f + 14", "f + 36"], ["f", 7, "43"]], "target_var_name": "b", "target_value": 43, "value_dict": {"f": 7}, "is_reverse": true}}
| 1,477
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = q + 2; i = o + 3; l = x + 12; o = p + 11; x = g + 19; n = z + 2; p = f + 14; t = f + 5; g = u + 5; f = 7; z = i + 1; b = n + 5; q = t + 17. If f = 7, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 2 to b, which gives b = z + 7.\n2. Substitute z = i + 1 to b, which gives b = i + 8.\n3. Substitute i = o + 3 to b, which gives b = o + 11.\n4. Substitute o = p + 11 to b, which gives b = p + 22.\n5. Substitute p = f + 14 to b, which gives b = f + 36.\n6. Substitute f = 7 to b, which gives b = 43.\n\nThus, the final answer is b = \\boxed{43}.",
"index": 1477,
"question": "Consider a system of variables where each variable is defined as follows: u = q + 2; i = o + 3; l = x + 12; o = p + 11; x = g + 19; n = z + 2; p = f + 14; t = f + 5; g = u + 5; f = 7; z = i + 1; b = n + 5; q = t + 17. If f = 7, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"r": "z + 9", "d": "r + 6", "f": "d + 15", "i": "f + 14", "o": "i + 2", "v": "o + 15", "g": "z + 15", "x": "g + 8", "a": "x + 13", "e": "a + 12", "y": "e + 3", "p": "y + 8", "z": 20}, "premises": {"z": 20}, "target": "v"}, "answer": {"steps": [["o", "i + 2", "i + 17"], ["i", "f + 14", "f + 31"], ["f", "d + 15", "d + 46"], ["d", "r + 6", "r + 52"], ["r", "z + 9", "z + 61"], ["z", 20, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"z": 20}, "is_reverse": true}}
| 1,478
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 14; f = d + 15; e = a + 12; p = y + 8; z = 20; v = o + 15; o = i + 2; g = z + 15; y = e + 3; x = g + 8; d = r + 6; r = z + 9; a = x + 13. If z = 20, what is the resulting 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 o = i + 2 to v, which gives v = i + 17.\n2. Substitute i = f + 14 to v, which gives v = f + 31.\n3. Substitute f = d + 15 to v, which gives v = d + 46.\n4. Substitute d = r + 6 to v, which gives v = r + 52.\n5. Substitute r = z + 9 to v, which gives v = z + 61.\n6. Substitute z = 20 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 1478,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 14; f = d + 15; e = a + 12; p = y + 8; z = 20; v = o + 15; o = i + 2; g = z + 15; y = e + 3; x = g + 8; d = r + 6; r = z + 9; a = x + 13. If z = 20, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"t": "m + 20", "a": "t + 18", "c": "a + 9", "w": "c + 10", "o": "w + 4", "e": "o + 11", "p": "m + 1", "n": "p + 8", "j": "n + 20", "y": "j + 4", "h": "y + 2", "d": "h + 16", "m": 11}, "premises": {"m": 11}, "target": "e"}, "answer": {"steps": [["o", "w + 4", "w + 15"], ["w", "c + 10", "c + 25"], ["c", "a + 9", "a + 34"], ["a", "t + 18", "t + 52"], ["t", "m + 20", "m + 72"], ["m", 11, "83"]], "target_var_name": "e", "target_value": 83, "value_dict": {"m": 11}, "is_reverse": true}}
| 1,479
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = w + 4; p = m + 1; j = n + 20; d = h + 16; e = o + 11; m = 11; t = m + 20; h = y + 2; c = a + 9; a = t + 18; w = c + 10; n = p + 8; y = j + 4. If m = 11, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 4 to e, which gives e = w + 15.\n2. Substitute w = c + 10 to e, which gives e = c + 25.\n3. Substitute c = a + 9 to e, which gives e = a + 34.\n4. Substitute a = t + 18 to e, which gives e = t + 52.\n5. Substitute t = m + 20 to e, which gives e = m + 72.\n6. Substitute m = 11 to e, which gives e = 83.\n\nThus, the final answer is e = \\boxed{83}.",
"index": 1479,
"question": "Consider a system of variables where each variable is defined as follows: o = w + 4; p = m + 1; j = n + 20; d = h + 16; e = o + 11; m = 11; t = m + 20; h = y + 2; c = a + 9; a = t + 18; w = c + 10; n = p + 8; y = j + 4. If m = 11, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"l": "d + 18", "u": "l + 2", "a": "u + 5", "g": "a + 7", "s": "g + 5", "y": "s + 19", "q": "d + 20", "o": "q + 16", "v": "o + 18", "m": "v + 8", "x": "m + 17", "w": "x + 6", "d": 19}, "premises": {"d": 19}, "target": "y"}, "answer": {"steps": [["s", "g + 5", "g + 24"], ["g", "a + 7", "a + 31"], ["a", "u + 5", "u + 36"], ["u", "l + 2", "l + 38"], ["l", "d + 18", "d + 56"], ["d", 19, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"d": 19}, "is_reverse": true}}
| 1,480
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 8; q = d + 20; o = q + 16; g = a + 7; v = o + 18; u = l + 2; y = s + 19; x = m + 17; d = 19; l = d + 18; s = g + 5; w = x + 6; a = u + 5. If d = 19, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 5 to y, which gives y = g + 24.\n2. Substitute g = a + 7 to y, which gives y = a + 31.\n3. Substitute a = u + 5 to y, which gives y = u + 36.\n4. Substitute u = l + 2 to y, which gives y = l + 38.\n5. Substitute l = d + 18 to y, which gives y = d + 56.\n6. Substitute d = 19 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 1480,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 8; q = d + 20; o = q + 16; g = a + 7; v = o + 18; u = l + 2; y = s + 19; x = m + 17; d = 19; l = d + 18; s = g + 5; w = x + 6; a = u + 5. If d = 19, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"o": "t + 17", "s": "o + 10", "x": "s + 9", "n": "x + 18", "j": "n + 18", "z": "j + 14", "e": "t + 3", "i": "e + 20", "h": "i + 13", "q": "h + 1", "m": "q + 13", "w": "m + 20", "t": 8}, "premises": {"t": 8}, "target": "z"}, "answer": {"steps": [["j", "n + 18", "n + 32"], ["n", "x + 18", "x + 50"], ["x", "s + 9", "s + 59"], ["s", "o + 10", "o + 69"], ["o", "t + 17", "t + 86"], ["t", 8, "94"]], "target_var_name": "z", "target_value": 94, "value_dict": {"t": 8}, "is_reverse": true}}
| 1,481
| 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 = m + 20; e = t + 3; q = h + 1; s = o + 10; i = e + 20; n = x + 18; o = t + 17; x = s + 9; z = j + 14; h = i + 13; t = 8; m = q + 13; j = n + 18. If t = 8, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 18 to z, which gives z = n + 32.\n2. Substitute n = x + 18 to z, which gives z = x + 50.\n3. Substitute x = s + 9 to z, which gives z = s + 59.\n4. Substitute s = o + 10 to z, which gives z = o + 69.\n5. Substitute o = t + 17 to z, which gives z = t + 86.\n6. Substitute t = 8 to z, which gives z = 94.\n\nThus, the final answer is z = \\boxed{94}.",
"index": 1481,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = m + 20; e = t + 3; q = h + 1; s = o + 10; i = e + 20; n = x + 18; o = t + 17; x = s + 9; z = j + 14; h = i + 13; t = 8; m = q + 13; j = n + 18. If t = 8, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"z": "v + 20", "j": "z + 9", "w": "j + 14", "h": "w + 2", "u": "h + 1", "f": "u + 19", "p": "v + 15", "m": "p + 3", "i": "m + 20", "a": "i + 5", "e": "a + 1", "l": "e + 2", "v": 14}, "premises": {"v": 14}, "target": "f"}, "answer": {"steps": [["u", "h + 1", "h + 20"], ["h", "w + 2", "w + 22"], ["w", "j + 14", "j + 36"], ["j", "z + 9", "z + 45"], ["z", "v + 20", "v + 65"], ["v", 14, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"v": 14}, "is_reverse": true}}
| 1,482
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = v + 15; e = a + 1; j = z + 9; w = j + 14; i = m + 20; h = w + 2; a = i + 5; m = p + 3; z = v + 20; f = u + 19; v = 14; u = h + 1; l = e + 2. Given that v = 14, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 1 to f, which gives f = h + 20.\n2. Substitute h = w + 2 to f, which gives f = w + 22.\n3. Substitute w = j + 14 to f, which gives f = j + 36.\n4. Substitute j = z + 9 to f, which gives f = z + 45.\n5. Substitute z = v + 20 to f, which gives f = v + 65.\n6. Substitute v = 14 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 1482,
"question": "Suppose a collection of variables is related by the following definitions: p = v + 15; e = a + 1; j = z + 9; w = j + 14; i = m + 20; h = w + 2; a = i + 5; m = p + 3; z = v + 20; f = u + 19; v = 14; u = h + 1; l = e + 2. Given that v = 14, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"o": "i + 20", "t": "o + 20", "a": "t + 8", "j": "a + 1", "l": "j + 10", "x": "l + 7", "m": "i + 17", "q": "m + 8", "b": "q + 8", "u": "b + 2", "k": "u + 17", "d": "k + 19", "i": 9}, "premises": {"i": 9}, "target": "x"}, "answer": {"steps": [["l", "j + 10", "j + 17"], ["j", "a + 1", "a + 18"], ["a", "t + 8", "t + 26"], ["t", "o + 20", "o + 46"], ["o", "i + 20", "i + 66"], ["i", 9, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"i": 9}, "is_reverse": true}}
| 1,483
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = q + 8; m = i + 17; a = t + 8; t = o + 20; u = b + 2; j = a + 1; q = m + 8; i = 9; o = i + 20; k = u + 17; x = l + 7; l = j + 10; d = k + 19. Given that i = 9, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 10 to x, which gives x = j + 17.\n2. Substitute j = a + 1 to x, which gives x = a + 18.\n3. Substitute a = t + 8 to x, which gives x = t + 26.\n4. Substitute t = o + 20 to x, which gives x = o + 46.\n5. Substitute o = i + 20 to x, which gives x = i + 66.\n6. Substitute i = 9 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 1483,
"question": "Suppose a collection of variables is related by the following definitions: b = q + 8; m = i + 17; a = t + 8; t = o + 20; u = b + 2; j = a + 1; q = m + 8; i = 9; o = i + 20; k = u + 17; x = l + 7; l = j + 10; d = k + 19. Given that i = 9, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"i": "l + 17", "q": "i + 5", "j": "q + 16", "k": "j + 17", "m": "k + 2", "g": "m + 15", "a": "l + 5", "y": "a + 16", "u": "y + 3", "n": "u + 6", "s": "n + 15", "f": "s + 1", "l": 10}, "premises": {"l": 10}, "target": "g"}, "answer": {"steps": [["m", "k + 2", "k + 17"], ["k", "j + 17", "j + 34"], ["j", "q + 16", "q + 50"], ["q", "i + 5", "i + 55"], ["i", "l + 17", "l + 72"], ["l", 10, "82"]], "target_var_name": "g", "target_value": 82, "value_dict": {"l": 10}, "is_reverse": true}}
| 1,484
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = l + 5; g = m + 15; l = 10; i = l + 17; s = n + 15; n = u + 6; f = s + 1; u = y + 3; j = q + 16; m = k + 2; q = i + 5; k = j + 17; y = a + 16. Given that l = 10, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 2 to g, which gives g = k + 17.\n2. Substitute k = j + 17 to g, which gives g = j + 34.\n3. Substitute j = q + 16 to g, which gives g = q + 50.\n4. Substitute q = i + 5 to g, which gives g = i + 55.\n5. Substitute i = l + 17 to g, which gives g = l + 72.\n6. Substitute l = 10 to g, which gives g = 82.\n\nThus, the final answer is g = \\boxed{82}.",
"index": 1484,
"question": "Suppose a collection of variables is related by the following definitions: a = l + 5; g = m + 15; l = 10; i = l + 17; s = n + 15; n = u + 6; f = s + 1; u = y + 3; j = q + 16; m = k + 2; q = i + 5; k = j + 17; y = a + 16. Given that l = 10, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"w": "f + 15", "i": "w + 5", "m": "i + 14", "y": "m + 7", "p": "y + 13", "t": "p + 1", "g": "f + 18", "v": "g + 14", "j": "v + 1", "s": "j + 17", "u": "s + 10", "a": "u + 2", "f": 14}, "premises": {"f": 14}, "target": "t"}, "answer": {"steps": [["p", "y + 13", "y + 14"], ["y", "m + 7", "m + 21"], ["m", "i + 14", "i + 35"], ["i", "w + 5", "w + 40"], ["w", "f + 15", "f + 55"], ["f", 14, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"f": 14}, "is_reverse": true}}
| 1,485
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = y + 13; v = g + 14; t = p + 1; w = f + 15; f = 14; i = w + 5; s = j + 17; j = v + 1; u = s + 10; a = u + 2; g = f + 18; m = i + 14; y = m + 7. Given that f = 14, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 13 to t, which gives t = y + 14.\n2. Substitute y = m + 7 to t, which gives t = m + 21.\n3. Substitute m = i + 14 to t, which gives t = i + 35.\n4. Substitute i = w + 5 to t, which gives t = w + 40.\n5. Substitute w = f + 15 to t, which gives t = f + 55.\n6. Substitute f = 14 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 1485,
"question": "Suppose a collection of variables is related by the following definitions: p = y + 13; v = g + 14; t = p + 1; w = f + 15; f = 14; i = w + 5; s = j + 17; j = v + 1; u = s + 10; a = u + 2; g = f + 18; m = i + 14; y = m + 7. Given that f = 14, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"r": "i + 11", "k": "r + 5", "q": "k + 5", "d": "q + 12", "v": "d + 15", "o": "v + 16", "a": "i + 13", "m": "a + 15", "n": "m + 16", "s": "n + 18", "b": "s + 8", "y": "b + 4", "i": 7}, "premises": {"i": 7}, "target": "o"}, "answer": {"steps": [["v", "d + 15", "d + 31"], ["d", "q + 12", "q + 43"], ["q", "k + 5", "k + 48"], ["k", "r + 5", "r + 53"], ["r", "i + 11", "i + 64"], ["i", 7, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"i": 7}, "is_reverse": true}}
| 1,486
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = d + 15; s = n + 18; o = v + 16; n = m + 16; k = r + 5; q = k + 5; r = i + 11; d = q + 12; b = s + 8; m = a + 15; y = b + 4; a = i + 13; i = 7. Given that i = 7, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 15 to o, which gives o = d + 31.\n2. Substitute d = q + 12 to o, which gives o = q + 43.\n3. Substitute q = k + 5 to o, which gives o = k + 48.\n4. Substitute k = r + 5 to o, which gives o = r + 53.\n5. Substitute r = i + 11 to o, which gives o = i + 64.\n6. Substitute i = 7 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 1486,
"question": "Suppose a collection of variables is related by the following definitions: v = d + 15; s = n + 18; o = v + 16; n = m + 16; k = r + 5; q = k + 5; r = i + 11; d = q + 12; b = s + 8; m = a + 15; y = b + 4; a = i + 13; i = 7. Given that i = 7, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"o": "i + 7", "s": "o + 18", "u": "s + 15", "n": "u + 9", "m": "n + 16", "p": "m + 2", "q": "i + 8", "w": "q + 17", "x": "w + 13", "b": "x + 11", "v": "b + 7", "y": "v + 17", "i": 2}, "premises": {"i": 2}, "target": "p"}, "answer": {"steps": [["m", "n + 16", "n + 18"], ["n", "u + 9", "u + 27"], ["u", "s + 15", "s + 42"], ["s", "o + 18", "o + 60"], ["o", "i + 7", "i + 67"], ["i", 2, "69"]], "target_var_name": "p", "target_value": 69, "value_dict": {"i": 2}, "is_reverse": true}}
| 1,487
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = i + 7; y = v + 17; v = b + 7; q = i + 8; p = m + 2; i = 2; b = x + 11; w = q + 17; m = n + 16; x = w + 13; n = u + 9; u = s + 15; s = o + 18. Given that i = 2, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 16 to p, which gives p = n + 18.\n2. Substitute n = u + 9 to p, which gives p = u + 27.\n3. Substitute u = s + 15 to p, which gives p = s + 42.\n4. Substitute s = o + 18 to p, which gives p = o + 60.\n5. Substitute o = i + 7 to p, which gives p = i + 67.\n6. Substitute i = 2 to p, which gives p = 69.\n\nThus, the final answer is p = \\boxed{69}.",
"index": 1487,
"question": "Suppose a collection of variables is related by the following definitions: o = i + 7; y = v + 17; v = b + 7; q = i + 8; p = m + 2; i = 2; b = x + 11; w = q + 17; m = n + 16; x = w + 13; n = u + 9; u = s + 15; s = o + 18. Given that i = 2, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"h": "j + 11", "s": "h + 13", "k": "s + 20", "u": "k + 3", "r": "u + 12", "i": "r + 15", "g": "j + 9", "x": "g + 17", "l": "x + 7", "n": "l + 14", "t": "n + 4", "a": "t + 3", "j": 20}, "premises": {"j": 20}, "target": "i"}, "answer": {"steps": [["r", "u + 12", "u + 27"], ["u", "k + 3", "k + 30"], ["k", "s + 20", "s + 50"], ["s", "h + 13", "h + 63"], ["h", "j + 11", "j + 74"], ["j", 20, "94"]], "target_var_name": "i", "target_value": 94, "value_dict": {"j": 20}, "is_reverse": true}}
| 1,488
| 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 = l + 14; l = x + 7; h = j + 11; x = g + 17; j = 20; u = k + 3; s = h + 13; t = n + 4; a = t + 3; k = s + 20; g = j + 9; i = r + 15; r = u + 12. If j = 20, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 12 to i, which gives i = u + 27.\n2. Substitute u = k + 3 to i, which gives i = k + 30.\n3. Substitute k = s + 20 to i, which gives i = s + 50.\n4. Substitute s = h + 13 to i, which gives i = h + 63.\n5. Substitute h = j + 11 to i, which gives i = j + 74.\n6. Substitute j = 20 to i, which gives i = 94.\n\nThus, the final answer is i = \\boxed{94}.",
"index": 1488,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = l + 14; l = x + 7; h = j + 11; x = g + 17; j = 20; u = k + 3; s = h + 13; t = n + 4; a = t + 3; k = s + 20; g = j + 9; i = r + 15; r = u + 12. If j = 20, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"d": "b + 5", "t": "d + 10", "w": "t + 5", "l": "w + 3", "k": "l + 19", "y": "k + 16", "n": "b + 10", "o": "n + 9", "u": "o + 17", "x": "u + 15", "f": "x + 10", "g": "f + 5", "b": 11}, "premises": {"b": 11}, "target": "y"}, "answer": {"steps": [["k", "l + 19", "l + 35"], ["l", "w + 3", "w + 38"], ["w", "t + 5", "t + 43"], ["t", "d + 10", "d + 53"], ["d", "b + 5", "b + 58"], ["b", 11, "69"]], "target_var_name": "y", "target_value": 69, "value_dict": {"b": 11}, "is_reverse": true}}
| 1,489
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = t + 5; x = u + 15; l = w + 3; o = n + 9; n = b + 10; u = o + 17; f = x + 10; d = b + 5; y = k + 16; b = 11; t = d + 10; g = f + 5; k = l + 19. Given that b = 11, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 19 to y, which gives y = l + 35.\n2. Substitute l = w + 3 to y, which gives y = w + 38.\n3. Substitute w = t + 5 to y, which gives y = t + 43.\n4. Substitute t = d + 10 to y, which gives y = d + 53.\n5. Substitute d = b + 5 to y, which gives y = b + 58.\n6. Substitute b = 11 to y, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 1489,
"question": "Suppose a collection of variables is related by the following definitions: w = t + 5; x = u + 15; l = w + 3; o = n + 9; n = b + 10; u = o + 17; f = x + 10; d = b + 5; y = k + 16; b = 11; t = d + 10; g = f + 5; k = l + 19. Given that b = 11, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"i": "o + 12", "z": "i + 2", "h": "z + 13", "g": "h + 11", "w": "g + 11", "l": "w + 20", "n": "o + 17", "b": "n + 1", "a": "b + 19", "j": "a + 5", "u": "j + 16", "d": "u + 8", "o": 15}, "premises": {"o": 15}, "target": "l"}, "answer": {"steps": [["w", "g + 11", "g + 31"], ["g", "h + 11", "h + 42"], ["h", "z + 13", "z + 55"], ["z", "i + 2", "i + 57"], ["i", "o + 12", "o + 69"], ["o", 15, "84"]], "target_var_name": "l", "target_value": 84, "value_dict": {"o": 15}, "is_reverse": true}}
| 1,490
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = o + 12; l = w + 20; a = b + 19; j = a + 5; n = o + 17; z = i + 2; w = g + 11; g = h + 11; o = 15; d = u + 8; b = n + 1; u = j + 16; h = z + 13. If o = 15, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 11 to l, which gives l = g + 31.\n2. Substitute g = h + 11 to l, which gives l = h + 42.\n3. Substitute h = z + 13 to l, which gives l = z + 55.\n4. Substitute z = i + 2 to l, which gives l = i + 57.\n5. Substitute i = o + 12 to l, which gives l = o + 69.\n6. Substitute o = 15 to l, which gives l = 84.\n\nThus, the final answer is l = \\boxed{84}.",
"index": 1490,
"question": "Consider a system of variables where each variable is defined as follows: i = o + 12; l = w + 20; a = b + 19; j = a + 5; n = o + 17; z = i + 2; w = g + 11; g = h + 11; o = 15; d = u + 8; b = n + 1; u = j + 16; h = z + 13. If o = 15, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"a": "h + 2", "o": "a + 16", "x": "o + 11", "d": "x + 14", "e": "d + 17", "k": "e + 11", "q": "h + 10", "v": "q + 18", "t": "v + 5", "n": "t + 9", "y": "n + 8", "w": "y + 3", "h": 1}, "premises": {"h": 1}, "target": "k"}, "answer": {"steps": [["e", "d + 17", "d + 28"], ["d", "x + 14", "x + 42"], ["x", "o + 11", "o + 53"], ["o", "a + 16", "a + 69"], ["a", "h + 2", "h + 71"], ["h", 1, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"h": 1}, "is_reverse": true}}
| 1,491
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = x + 14; n = t + 9; a = h + 2; t = v + 5; x = o + 11; k = e + 11; y = n + 8; o = a + 16; v = q + 18; w = y + 3; e = d + 17; q = h + 10; h = 1. If h = 1, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 17 to k, which gives k = d + 28.\n2. Substitute d = x + 14 to k, which gives k = x + 42.\n3. Substitute x = o + 11 to k, which gives k = o + 53.\n4. Substitute o = a + 16 to k, which gives k = a + 69.\n5. Substitute a = h + 2 to k, which gives k = h + 71.\n6. Substitute h = 1 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 1491,
"question": "Consider a system of variables where each variable is defined as follows: d = x + 14; n = t + 9; a = h + 2; t = v + 5; x = o + 11; k = e + 11; y = n + 8; o = a + 16; v = q + 18; w = y + 3; e = d + 17; q = h + 10; h = 1. If h = 1, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"q": "s + 13", "v": "q + 13", "j": "v + 13", "g": "j + 15", "i": "g + 20", "x": "i + 1", "c": "s + 20", "r": "c + 7", "e": "r + 1", "k": "e + 5", "w": "k + 11", "d": "w + 17", "s": 16}, "premises": {"s": 16}, "target": "x"}, "answer": {"steps": [["i", "g + 20", "g + 21"], ["g", "j + 15", "j + 36"], ["j", "v + 13", "v + 49"], ["v", "q + 13", "q + 62"], ["q", "s + 13", "s + 75"], ["s", 16, "91"]], "target_var_name": "x", "target_value": 91, "value_dict": {"s": 16}, "is_reverse": true}}
| 1,492
| 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 = q + 13; r = c + 7; i = g + 20; s = 16; q = s + 13; c = s + 20; d = w + 17; e = r + 1; x = i + 1; j = v + 13; k = e + 5; g = j + 15; w = k + 11. If s = 16, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 20 to x, which gives x = g + 21.\n2. Substitute g = j + 15 to x, which gives x = j + 36.\n3. Substitute j = v + 13 to x, which gives x = v + 49.\n4. Substitute v = q + 13 to x, which gives x = q + 62.\n5. Substitute q = s + 13 to x, which gives x = s + 75.\n6. Substitute s = 16 to x, which gives x = 91.\n\nThus, the final answer is x = \\boxed{91}.",
"index": 1492,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = q + 13; r = c + 7; i = g + 20; s = 16; q = s + 13; c = s + 20; d = w + 17; e = r + 1; x = i + 1; j = v + 13; k = e + 5; g = j + 15; w = k + 11. If s = 16, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"x": "l + 15", "p": "x + 13", "q": "p + 15", "w": "q + 19", "v": "w + 8", "t": "v + 8", "z": "l + 18", "y": "z + 18", "b": "y + 2", "r": "b + 11", "j": "r + 4", "i": "j + 19", "l": 8}, "premises": {"l": 8}, "target": "t"}, "answer": {"steps": [["v", "w + 8", "w + 16"], ["w", "q + 19", "q + 35"], ["q", "p + 15", "p + 50"], ["p", "x + 13", "x + 63"], ["x", "l + 15", "l + 78"], ["l", 8, "86"]], "target_var_name": "t", "target_value": 86, "value_dict": {"l": 8}, "is_reverse": true}}
| 1,493
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = v + 8; j = r + 4; y = z + 18; b = y + 2; v = w + 8; x = l + 15; p = x + 13; i = j + 19; w = q + 19; l = 8; q = p + 15; z = l + 18; r = b + 11. If l = 8, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 8 to t, which gives t = w + 16.\n2. Substitute w = q + 19 to t, which gives t = q + 35.\n3. Substitute q = p + 15 to t, which gives t = p + 50.\n4. Substitute p = x + 13 to t, which gives t = x + 63.\n5. Substitute x = l + 15 to t, which gives t = l + 78.\n6. Substitute l = 8 to t, which gives t = 86.\n\nThus, the final answer is t = \\boxed{86}.",
"index": 1493,
"question": "Consider a system of variables where each variable is defined as follows: t = v + 8; j = r + 4; y = z + 18; b = y + 2; v = w + 8; x = l + 15; p = x + 13; i = j + 19; w = q + 19; l = 8; q = p + 15; z = l + 18; r = b + 11. If l = 8, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 4", "l": "p + 17", "j": "l + 10", "a": "j + 5", "s": "a + 18", "f": "s + 8", "g": "k + 13", "h": "g + 9", "v": "h + 5", "c": "v + 10", "m": "c + 10", "o": "m + 20", "k": 4}, "premises": {"k": 4}, "target": "f"}, "answer": {"steps": [["s", "a + 18", "a + 26"], ["a", "j + 5", "j + 31"], ["j", "l + 10", "l + 41"], ["l", "p + 17", "p + 58"], ["p", "k + 4", "k + 62"], ["k", 4, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"k": 4}, "is_reverse": true}}
| 1,494
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = s + 8; l = p + 17; m = c + 10; j = l + 10; h = g + 9; a = j + 5; v = h + 5; g = k + 13; k = 4; o = m + 20; s = a + 18; p = k + 4; c = v + 10. If k = 4, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 18 to f, which gives f = a + 26.\n2. Substitute a = j + 5 to f, which gives f = j + 31.\n3. Substitute j = l + 10 to f, which gives f = l + 41.\n4. Substitute l = p + 17 to f, which gives f = p + 58.\n5. Substitute p = k + 4 to f, which gives f = k + 62.\n6. Substitute k = 4 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 1494,
"question": "Consider a system of variables where each variable is defined as follows: f = s + 8; l = p + 17; m = c + 10; j = l + 10; h = g + 9; a = j + 5; v = h + 5; g = k + 13; k = 4; o = m + 20; s = a + 18; p = k + 4; c = v + 10. If k = 4, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"j": "k + 11", "v": "j + 4", "l": "v + 5", "n": "l + 10", "a": "n + 11", "g": "a + 15", "t": "k + 17", "h": "t + 4", "d": "h + 3", "b": "d + 15", "p": "b + 17", "i": "p + 19", "k": 1}, "premises": {"k": 1}, "target": "g"}, "answer": {"steps": [["a", "n + 11", "n + 26"], ["n", "l + 10", "l + 36"], ["l", "v + 5", "v + 41"], ["v", "j + 4", "j + 45"], ["j", "k + 11", "k + 56"], ["k", 1, "57"]], "target_var_name": "g", "target_value": 57, "value_dict": {"k": 1}, "is_reverse": true}}
| 1,495
| 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 = l + 10; b = d + 15; v = j + 4; p = b + 17; d = h + 3; j = k + 11; i = p + 19; k = 1; a = n + 11; h = t + 4; l = v + 5; t = k + 17; g = a + 15. If k = 1, 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 a = n + 11 to g, which gives g = n + 26.\n2. Substitute n = l + 10 to g, which gives g = l + 36.\n3. Substitute l = v + 5 to g, which gives g = v + 41.\n4. Substitute v = j + 4 to g, which gives g = j + 45.\n5. Substitute j = k + 11 to g, which gives g = k + 56.\n6. Substitute k = 1 to g, which gives g = 57.\n\nThus, the final answer is g = \\boxed{57}.",
"index": 1495,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = l + 10; b = d + 15; v = j + 4; p = b + 17; d = h + 3; j = k + 11; i = p + 19; k = 1; a = n + 11; h = t + 4; l = v + 5; t = k + 17; g = a + 15. If k = 1, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"s": "x + 2", "f": "s + 13", "m": "f + 2", "l": "m + 15", "h": "l + 14", "j": "h + 19", "d": "x + 14", "n": "d + 6", "v": "n + 11", "y": "v + 4", "q": "y + 18", "a": "q + 14", "x": 16}, "premises": {"x": 16}, "target": "j"}, "answer": {"steps": [["h", "l + 14", "l + 33"], ["l", "m + 15", "m + 48"], ["m", "f + 2", "f + 50"], ["f", "s + 13", "s + 63"], ["s", "x + 2", "x + 65"], ["x", 16, "81"]], "target_var_name": "j", "target_value": 81, "value_dict": {"x": 16}, "is_reverse": true}}
| 1,496
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = y + 18; s = x + 2; j = h + 19; a = q + 14; d = x + 14; l = m + 15; n = d + 6; h = l + 14; y = v + 4; x = 16; m = f + 2; f = s + 13; v = n + 11. Given that x = 16, find 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 h = l + 14 to j, which gives j = l + 33.\n2. Substitute l = m + 15 to j, which gives j = m + 48.\n3. Substitute m = f + 2 to j, which gives j = f + 50.\n4. Substitute f = s + 13 to j, which gives j = s + 63.\n5. Substitute s = x + 2 to j, which gives j = x + 65.\n6. Substitute x = 16 to j, which gives j = 81.\n\nThus, the final answer is j = \\boxed{81}.",
"index": 1496,
"question": "Suppose a collection of variables is related by the following definitions: q = y + 18; s = x + 2; j = h + 19; a = q + 14; d = x + 14; l = m + 15; n = d + 6; h = l + 14; y = v + 4; x = 16; m = f + 2; f = s + 13; v = n + 11. Given that x = 16, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"x": "w + 16", "c": "x + 5", "a": "c + 19", "o": "a + 4", "q": "o + 12", "z": "q + 2", "u": "w + 5", "g": "u + 10", "e": "g + 10", "p": "e + 7", "f": "p + 16", "s": "f + 1", "w": 6}, "premises": {"w": 6}, "target": "z"}, "answer": {"steps": [["q", "o + 12", "o + 14"], ["o", "a + 4", "a + 18"], ["a", "c + 19", "c + 37"], ["c", "x + 5", "x + 42"], ["x", "w + 16", "w + 58"], ["w", 6, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"w": 6}, "is_reverse": true}}
| 1,497
| 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 = f + 1; e = g + 10; p = e + 7; z = q + 2; f = p + 16; c = x + 5; q = o + 12; u = w + 5; w = 6; g = u + 10; a = c + 19; o = a + 4; x = w + 16. If w = 6, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 12 to z, which gives z = o + 14.\n2. Substitute o = a + 4 to z, which gives z = a + 18.\n3. Substitute a = c + 19 to z, which gives z = c + 37.\n4. Substitute c = x + 5 to z, which gives z = x + 42.\n5. Substitute x = w + 16 to z, which gives z = w + 58.\n6. Substitute w = 6 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 1497,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 1; e = g + 10; p = e + 7; z = q + 2; f = p + 16; c = x + 5; q = o + 12; u = w + 5; w = 6; g = u + 10; a = c + 19; o = a + 4; x = w + 16. If w = 6, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"y": "t + 2", "k": "y + 13", "z": "k + 7", "p": "z + 12", "c": "p + 2", "o": "c + 7", "q": "t + 6", "m": "q + 4", "d": "m + 11", "j": "d + 17", "f": "j + 6", "v": "f + 6", "t": 12}, "premises": {"t": 12}, "target": "o"}, "answer": {"steps": [["c", "p + 2", "p + 9"], ["p", "z + 12", "z + 21"], ["z", "k + 7", "k + 28"], ["k", "y + 13", "y + 41"], ["y", "t + 2", "t + 43"], ["t", 12, "55"]], "target_var_name": "o", "target_value": 55, "value_dict": {"t": 12}, "is_reverse": true}}
| 1,498
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = k + 7; d = m + 11; o = c + 7; t = 12; q = t + 6; k = y + 13; f = j + 6; v = f + 6; j = d + 17; c = p + 2; p = z + 12; m = q + 4; y = t + 2. If t = 12, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 2 to o, which gives o = p + 9.\n2. Substitute p = z + 12 to o, which gives o = z + 21.\n3. Substitute z = k + 7 to o, which gives o = k + 28.\n4. Substitute k = y + 13 to o, which gives o = y + 41.\n5. Substitute y = t + 2 to o, which gives o = t + 43.\n6. Substitute t = 12 to o, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 1498,
"question": "Consider a system of variables where each variable is defined as follows: z = k + 7; d = m + 11; o = c + 7; t = 12; q = t + 6; k = y + 13; f = j + 6; v = f + 6; j = d + 17; c = p + 2; p = z + 12; m = q + 4; y = t + 2. If t = 12, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"d": "k + 7", "t": "d + 8", "o": "t + 5", "m": "o + 10", "b": "m + 11", "q": "b + 16", "z": "k + 10", "x": "z + 2", "r": "x + 14", "w": "r + 8", "j": "w + 19", "f": "j + 17", "k": 19}, "premises": {"k": 19}, "target": "q"}, "answer": {"steps": [["b", "m + 11", "m + 27"], ["m", "o + 10", "o + 37"], ["o", "t + 5", "t + 42"], ["t", "d + 8", "d + 50"], ["d", "k + 7", "k + 57"], ["k", 19, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"k": 19}, "is_reverse": true}}
| 1,499
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = k + 10; x = z + 2; q = b + 16; d = k + 7; b = m + 11; j = w + 19; o = t + 5; m = o + 10; k = 19; t = d + 8; w = r + 8; r = x + 14; f = j + 17. If k = 19, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 11 to q, which gives q = m + 27.\n2. Substitute m = o + 10 to q, which gives q = o + 37.\n3. Substitute o = t + 5 to q, which gives q = t + 42.\n4. Substitute t = d + 8 to q, which gives q = d + 50.\n5. Substitute d = k + 7 to q, which gives q = k + 57.\n6. Substitute k = 19 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 1499,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = k + 10; x = z + 2; q = b + 16; d = k + 7; b = m + 11; j = w + 19; o = t + 5; m = o + 10; k = 19; t = d + 8; w = r + 8; r = x + 14; f = j + 17. If k = 19, what is the resulting value of q?",
"split": "train"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.