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25.6k
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stringclasses 1
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listlengths 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"z": "t + 7", "j": "z + 3", "d": "j + 6", "g": "d + 15", "h": "g + 6", "s": "h + 15", "r": "t + 4", "n": "r + 17", "b": "n + 6", "a": "b + 17", "c": "a + 12", "v": "c + 4", "t": 1}, "premises": {"t": 1}, "target": "s"}, "answer": {"steps": [["h", "g + 6", "g + 21"], ["g", "d + 15", "d + 36"], ["d", "j + 6", "j + 42"], ["j", "z + 3", "z + 45"], ["z", "t + 7", "t + 52"], ["t", 1, "53"]], "target_var_name": "s", "target_value": 53, "value_dict": {"t": 1}, "is_reverse": true}}
| 3,800
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = z + 3; v = c + 4; n = r + 17; d = j + 6; r = t + 4; c = a + 12; g = d + 15; b = n + 6; z = t + 7; t = 1; s = h + 15; h = g + 6; a = b + 17. If t = 1, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 6 to s, which gives s = g + 21.\n2. Substitute g = d + 15 to s, which gives s = d + 36.\n3. Substitute d = j + 6 to s, which gives s = j + 42.\n4. Substitute j = z + 3 to s, which gives s = z + 45.\n5. Substitute z = t + 7 to s, which gives s = t + 52.\n6. Substitute t = 1 to s, which gives s = 53.\n\nThus, the final answer is s = \\boxed{53}.",
"index": 3800,
"question": "Consider a system of variables where each variable is defined as follows: j = z + 3; v = c + 4; n = r + 17; d = j + 6; r = t + 4; c = a + 12; g = d + 15; b = n + 6; z = t + 7; t = 1; s = h + 15; h = g + 6; a = b + 17. If t = 1, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"z": "v + 5", "m": "z + 15", "x": "m + 15", "p": "x + 2", "c": "p + 16", "w": "c + 12", "u": "v + 1", "y": "u + 14", "a": "y + 11", "n": "a + 12", "b": "n + 4", "h": "b + 8", "v": 1}, "premises": {"v": 1}, "target": "w"}, "answer": {"steps": [["c", "p + 16", "p + 28"], ["p", "x + 2", "x + 30"], ["x", "m + 15", "m + 45"], ["m", "z + 15", "z + 60"], ["z", "v + 5", "v + 65"], ["v", 1, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"v": 1}, "is_reverse": true}}
| 3,801
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = u + 14; n = a + 12; w = c + 12; p = x + 2; h = b + 8; x = m + 15; b = n + 4; u = v + 1; a = y + 11; m = z + 15; v = 1; c = p + 16; z = v + 5. Given that v = 1, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 16 to w, which gives w = p + 28.\n2. Substitute p = x + 2 to w, which gives w = x + 30.\n3. Substitute x = m + 15 to w, which gives w = m + 45.\n4. Substitute m = z + 15 to w, which gives w = z + 60.\n5. Substitute z = v + 5 to w, which gives w = v + 65.\n6. Substitute v = 1 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 3801,
"question": "Suppose a collection of variables is related by the following definitions: y = u + 14; n = a + 12; w = c + 12; p = x + 2; h = b + 8; x = m + 15; b = n + 4; u = v + 1; a = y + 11; m = z + 15; v = 1; c = p + 16; z = v + 5. Given that v = 1, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"u": "s + 16", "v": "u + 9", "n": "v + 11", "k": "n + 19", "q": "k + 16", "c": "q + 6", "l": "s + 2", "y": "l + 7", "b": "y + 12", "w": "b + 19", "r": "w + 19", "j": "r + 17", "s": 15}, "premises": {"s": 15}, "target": "c"}, "answer": {"steps": [["q", "k + 16", "k + 22"], ["k", "n + 19", "n + 41"], ["n", "v + 11", "v + 52"], ["v", "u + 9", "u + 61"], ["u", "s + 16", "s + 77"], ["s", 15, "92"]], "target_var_name": "c", "target_value": 92, "value_dict": {"s": 15}, "is_reverse": true}}
| 3,802
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = n + 19; j = r + 17; n = v + 11; v = u + 9; y = l + 7; c = q + 6; b = y + 12; q = k + 16; l = s + 2; r = w + 19; s = 15; w = b + 19; u = s + 16. Given that s = 15, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 16 to c, which gives c = k + 22.\n2. Substitute k = n + 19 to c, which gives c = n + 41.\n3. Substitute n = v + 11 to c, which gives c = v + 52.\n4. Substitute v = u + 9 to c, which gives c = u + 61.\n5. Substitute u = s + 16 to c, which gives c = s + 77.\n6. Substitute s = 15 to c, which gives c = 92.\n\nThus, the final answer is c = \\boxed{92}.",
"index": 3802,
"question": "Suppose a collection of variables is related by the following definitions: k = n + 19; j = r + 17; n = v + 11; v = u + 9; y = l + 7; c = q + 6; b = y + 12; q = k + 16; l = s + 2; r = w + 19; s = 15; w = b + 19; u = s + 16. Given that s = 15, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"b": "o + 17", "g": "b + 17", "c": "g + 9", "j": "c + 3", "f": "j + 8", "x": "f + 10", "w": "o + 17", "t": "w + 19", "l": "t + 12", "r": "l + 13", "e": "r + 18", "v": "e + 8", "o": 1}, "premises": {"o": 1}, "target": "x"}, "answer": {"steps": [["f", "j + 8", "j + 18"], ["j", "c + 3", "c + 21"], ["c", "g + 9", "g + 30"], ["g", "b + 17", "b + 47"], ["b", "o + 17", "o + 64"], ["o", 1, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"o": 1}, "is_reverse": true}}
| 3,803
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = f + 10; t = w + 19; l = t + 12; w = o + 17; c = g + 9; f = j + 8; b = o + 17; g = b + 17; o = 1; j = c + 3; r = l + 13; v = e + 8; e = r + 18. If o = 1, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 8 to x, which gives x = j + 18.\n2. Substitute j = c + 3 to x, which gives x = c + 21.\n3. Substitute c = g + 9 to x, which gives x = g + 30.\n4. Substitute g = b + 17 to x, which gives x = b + 47.\n5. Substitute b = o + 17 to x, which gives x = o + 64.\n6. Substitute o = 1 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 3803,
"question": "Consider a system of variables where each variable is defined as follows: x = f + 10; t = w + 19; l = t + 12; w = o + 17; c = g + 9; f = j + 8; b = o + 17; g = b + 17; o = 1; j = c + 3; r = l + 13; v = e + 8; e = r + 18. If o = 1, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"o": "h + 5", "w": "o + 14", "j": "w + 6", "q": "j + 17", "t": "q + 15", "f": "t + 10", "m": "h + 11", "k": "m + 10", "e": "k + 12", "i": "e + 15", "n": "i + 7", "d": "n + 17", "h": 9}, "premises": {"h": 9}, "target": "f"}, "answer": {"steps": [["t", "q + 15", "q + 25"], ["q", "j + 17", "j + 42"], ["j", "w + 6", "w + 48"], ["w", "o + 14", "o + 62"], ["o", "h + 5", "h + 67"], ["h", 9, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"h": 9}, "is_reverse": true}}
| 3,804
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = n + 17; w = o + 14; q = j + 17; m = h + 11; j = w + 6; f = t + 10; e = k + 12; i = e + 15; o = h + 5; h = 9; n = i + 7; t = q + 15; k = m + 10. Given that h = 9, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 15 to f, which gives f = q + 25.\n2. Substitute q = j + 17 to f, which gives f = j + 42.\n3. Substitute j = w + 6 to f, which gives f = w + 48.\n4. Substitute w = o + 14 to f, which gives f = o + 62.\n5. Substitute o = h + 5 to f, which gives f = h + 67.\n6. Substitute h = 9 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 3804,
"question": "Suppose a collection of variables is related by the following definitions: d = n + 17; w = o + 14; q = j + 17; m = h + 11; j = w + 6; f = t + 10; e = k + 12; i = e + 15; o = h + 5; h = 9; n = i + 7; t = q + 15; k = m + 10. Given that h = 9, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"l": "y + 13", "h": "l + 1", "e": "h + 18", "t": "e + 12", "r": "t + 20", "d": "r + 8", "n": "y + 10", "k": "n + 1", "g": "k + 7", "x": "g + 13", "s": "x + 7", "b": "s + 9", "y": 5}, "premises": {"y": 5}, "target": "d"}, "answer": {"steps": [["r", "t + 20", "t + 28"], ["t", "e + 12", "e + 40"], ["e", "h + 18", "h + 58"], ["h", "l + 1", "l + 59"], ["l", "y + 13", "y + 72"], ["y", 5, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"y": 5}, "is_reverse": true}}
| 3,805
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = h + 18; t = e + 12; y = 5; x = g + 13; s = x + 7; l = y + 13; h = l + 1; d = r + 8; k = n + 1; n = y + 10; r = t + 20; g = k + 7; b = s + 9. Given that y = 5, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 20 to d, which gives d = t + 28.\n2. Substitute t = e + 12 to d, which gives d = e + 40.\n3. Substitute e = h + 18 to d, which gives d = h + 58.\n4. Substitute h = l + 1 to d, which gives d = l + 59.\n5. Substitute l = y + 13 to d, which gives d = y + 72.\n6. Substitute y = 5 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 3805,
"question": "Suppose a collection of variables is related by the following definitions: e = h + 18; t = e + 12; y = 5; x = g + 13; s = x + 7; l = y + 13; h = l + 1; d = r + 8; k = n + 1; n = y + 10; r = t + 20; g = k + 7; b = s + 9. Given that y = 5, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 17", "f": "p + 16", "o": "f + 12", "x": "o + 14", "h": "x + 1", "v": "h + 16", "w": "k + 20", "c": "w + 19", "i": "c + 13", "l": "i + 20", "m": "l + 13", "y": "m + 2", "k": 9}, "premises": {"k": 9}, "target": "v"}, "answer": {"steps": [["h", "x + 1", "x + 17"], ["x", "o + 14", "o + 31"], ["o", "f + 12", "f + 43"], ["f", "p + 16", "p + 59"], ["p", "k + 17", "k + 76"], ["k", 9, "85"]], "target_var_name": "v", "target_value": 85, "value_dict": {"k": 9}, "is_reverse": true}}
| 3,806
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = 9; i = c + 13; f = p + 16; w = k + 20; o = f + 12; x = o + 14; c = w + 19; y = m + 2; p = k + 17; m = l + 13; l = i + 20; h = x + 1; v = h + 16. If k = 9, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 1 to v, which gives v = x + 17.\n2. Substitute x = o + 14 to v, which gives v = o + 31.\n3. Substitute o = f + 12 to v, which gives v = f + 43.\n4. Substitute f = p + 16 to v, which gives v = p + 59.\n5. Substitute p = k + 17 to v, which gives v = k + 76.\n6. Substitute k = 9 to v, which gives v = 85.\n\nThus, the final answer is v = \\boxed{85}.",
"index": 3806,
"question": "Consider a system of variables where each variable is defined as follows: k = 9; i = c + 13; f = p + 16; w = k + 20; o = f + 12; x = o + 14; c = w + 19; y = m + 2; p = k + 17; m = l + 13; l = i + 20; h = x + 1; v = h + 16. If k = 9, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"t": "w + 10", "n": "t + 12", "x": "n + 1", "b": "x + 12", "u": "b + 1", "m": "u + 5", "g": "w + 13", "j": "g + 5", "c": "j + 1", "a": "c + 16", "o": "a + 9", "l": "o + 2", "w": 13}, "premises": {"w": 13}, "target": "m"}, "answer": {"steps": [["u", "b + 1", "b + 6"], ["b", "x + 12", "x + 18"], ["x", "n + 1", "n + 19"], ["n", "t + 12", "t + 31"], ["t", "w + 10", "w + 41"], ["w", 13, "54"]], "target_var_name": "m", "target_value": 54, "value_dict": {"w": 13}, "is_reverse": true}}
| 3,807
| 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 = a + 9; j = g + 5; t = w + 10; w = 13; l = o + 2; x = n + 1; b = x + 12; c = j + 1; m = u + 5; u = b + 1; a = c + 16; g = w + 13; n = t + 12. If w = 13, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 1 to m, which gives m = b + 6.\n2. Substitute b = x + 12 to m, which gives m = x + 18.\n3. Substitute x = n + 1 to m, which gives m = n + 19.\n4. Substitute n = t + 12 to m, which gives m = t + 31.\n5. Substitute t = w + 10 to m, which gives m = w + 41.\n6. Substitute w = 13 to m, which gives m = 54.\n\nThus, the final answer is m = \\boxed{54}.",
"index": 3807,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 9; j = g + 5; t = w + 10; w = 13; l = o + 2; x = n + 1; b = x + 12; c = j + 1; m = u + 5; u = b + 1; a = c + 16; g = w + 13; n = t + 12. If w = 13, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"z": "v + 1", "h": "z + 3", "c": "h + 19", "n": "c + 16", "l": "n + 12", "p": "l + 7", "m": "v + 7", "t": "m + 12", "w": "t + 12", "s": "w + 19", "r": "s + 15", "a": "r + 4", "v": 15}, "premises": {"v": 15}, "target": "p"}, "answer": {"steps": [["l", "n + 12", "n + 19"], ["n", "c + 16", "c + 35"], ["c", "h + 19", "h + 54"], ["h", "z + 3", "z + 57"], ["z", "v + 1", "v + 58"], ["v", 15, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"v": 15}, "is_reverse": true}}
| 3,808
| 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 = t + 12; z = v + 1; r = s + 15; t = m + 12; m = v + 7; h = z + 3; a = r + 4; c = h + 19; v = 15; l = n + 12; s = w + 19; n = c + 16; p = l + 7. If v = 15, 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 l = n + 12 to p, which gives p = n + 19.\n2. Substitute n = c + 16 to p, which gives p = c + 35.\n3. Substitute c = h + 19 to p, which gives p = h + 54.\n4. Substitute h = z + 3 to p, which gives p = z + 57.\n5. Substitute z = v + 1 to p, which gives p = v + 58.\n6. Substitute v = 15 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 3808,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = t + 12; z = v + 1; r = s + 15; t = m + 12; m = v + 7; h = z + 3; a = r + 4; c = h + 19; v = 15; l = n + 12; s = w + 19; n = c + 16; p = l + 7. If v = 15, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"v": "a + 9", "h": "v + 2", "y": "h + 16", "n": "y + 17", "f": "n + 10", "k": "f + 17", "x": "a + 8", "r": "x + 10", "c": "r + 8", "l": "c + 11", "q": "l + 14", "t": "q + 8", "a": 18}, "premises": {"a": 18}, "target": "k"}, "answer": {"steps": [["f", "n + 10", "n + 27"], ["n", "y + 17", "y + 44"], ["y", "h + 16", "h + 60"], ["h", "v + 2", "v + 62"], ["v", "a + 9", "a + 71"], ["a", 18, "89"]], "target_var_name": "k", "target_value": 89, "value_dict": {"a": 18}, "is_reverse": true}}
| 3,809
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = a + 8; c = r + 8; f = n + 10; t = q + 8; h = v + 2; v = a + 9; r = x + 10; l = c + 11; q = l + 14; k = f + 17; n = y + 17; a = 18; y = h + 16. If a = 18, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 10 to k, which gives k = n + 27.\n2. Substitute n = y + 17 to k, which gives k = y + 44.\n3. Substitute y = h + 16 to k, which gives k = h + 60.\n4. Substitute h = v + 2 to k, which gives k = v + 62.\n5. Substitute v = a + 9 to k, which gives k = a + 71.\n6. Substitute a = 18 to k, which gives k = 89.\n\nThus, the final answer is k = \\boxed{89}.",
"index": 3809,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = a + 8; c = r + 8; f = n + 10; t = q + 8; h = v + 2; v = a + 9; r = x + 10; l = c + 11; q = l + 14; k = f + 17; n = y + 17; a = 18; y = h + 16. If a = 18, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"f": "l + 5", "w": "f + 16", "k": "w + 5", "y": "k + 6", "p": "y + 1", "b": "p + 6", "r": "l + 17", "m": "r + 12", "e": "m + 6", "v": "e + 9", "t": "v + 4", "g": "t + 9", "l": 2}, "premises": {"l": 2}, "target": "b"}, "answer": {"steps": [["p", "y + 1", "y + 7"], ["y", "k + 6", "k + 13"], ["k", "w + 5", "w + 18"], ["w", "f + 16", "f + 34"], ["f", "l + 5", "l + 39"], ["l", 2, "41"]], "target_var_name": "b", "target_value": 41, "value_dict": {"l": 2}, "is_reverse": true}}
| 3,810
| 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 + 4; r = l + 17; v = e + 9; e = m + 6; f = l + 5; l = 2; p = y + 1; y = k + 6; g = t + 9; k = w + 5; w = f + 16; b = p + 6; m = r + 12. If l = 2, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 41,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 1 to b, which gives b = y + 7.\n2. Substitute y = k + 6 to b, which gives b = k + 13.\n3. Substitute k = w + 5 to b, which gives b = w + 18.\n4. Substitute w = f + 16 to b, which gives b = f + 34.\n5. Substitute f = l + 5 to b, which gives b = l + 39.\n6. Substitute l = 2 to b, which gives b = 41.\n\nThus, the final answer is b = \\boxed{41}.",
"index": 3810,
"question": "Consider a system of variables where each variable is defined as follows: t = v + 4; r = l + 17; v = e + 9; e = m + 6; f = l + 5; l = 2; p = y + 1; y = k + 6; g = t + 9; k = w + 5; w = f + 16; b = p + 6; m = r + 12. If l = 2, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"e": "w + 9", "f": "e + 7", "g": "f + 14", "q": "g + 6", "v": "q + 19", "s": "v + 13", "c": "w + 6", "i": "c + 6", "y": "i + 16", "a": "y + 9", "d": "a + 6", "j": "d + 6", "w": 9}, "premises": {"w": 9}, "target": "s"}, "answer": {"steps": [["v", "q + 19", "q + 32"], ["q", "g + 6", "g + 38"], ["g", "f + 14", "f + 52"], ["f", "e + 7", "e + 59"], ["e", "w + 9", "w + 68"], ["w", 9, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"w": 9}, "is_reverse": true}}
| 3,811
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = v + 13; q = g + 6; y = i + 16; d = a + 6; i = c + 6; v = q + 19; w = 9; a = y + 9; j = d + 6; g = f + 14; c = w + 6; e = w + 9; f = e + 7. If w = 9, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 19 to s, which gives s = q + 32.\n2. Substitute q = g + 6 to s, which gives s = g + 38.\n3. Substitute g = f + 14 to s, which gives s = f + 52.\n4. Substitute f = e + 7 to s, which gives s = e + 59.\n5. Substitute e = w + 9 to s, which gives s = w + 68.\n6. Substitute w = 9 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 3811,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = v + 13; q = g + 6; y = i + 16; d = a + 6; i = c + 6; v = q + 19; w = 9; a = y + 9; j = d + 6; g = f + 14; c = w + 6; e = w + 9; f = e + 7. If w = 9, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"k": "n + 11", "s": "k + 10", "a": "s + 10", "m": "a + 12", "b": "m + 18", "g": "b + 1", "z": "n + 2", "r": "z + 13", "c": "r + 1", "p": "c + 4", "i": "p + 12", "h": "i + 15", "n": 8}, "premises": {"n": 8}, "target": "g"}, "answer": {"steps": [["b", "m + 18", "m + 19"], ["m", "a + 12", "a + 31"], ["a", "s + 10", "s + 41"], ["s", "k + 10", "k + 51"], ["k", "n + 11", "n + 62"], ["n", 8, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"n": 8}, "is_reverse": true}}
| 3,812
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = 8; i = p + 12; g = b + 1; z = n + 2; r = z + 13; p = c + 4; k = n + 11; c = r + 1; a = s + 10; s = k + 10; b = m + 18; h = i + 15; m = a + 12. If n = 8, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 18 to g, which gives g = m + 19.\n2. Substitute m = a + 12 to g, which gives g = a + 31.\n3. Substitute a = s + 10 to g, which gives g = s + 41.\n4. Substitute s = k + 10 to g, which gives g = k + 51.\n5. Substitute k = n + 11 to g, which gives g = n + 62.\n6. Substitute n = 8 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 3812,
"question": "Consider a system of variables where each variable is defined as follows: n = 8; i = p + 12; g = b + 1; z = n + 2; r = z + 13; p = c + 4; k = n + 11; c = r + 1; a = s + 10; s = k + 10; b = m + 18; h = i + 15; m = a + 12. If n = 8, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"e": "h + 17", "j": "e + 10", "l": "j + 10", "r": "l + 18", "v": "r + 2", "f": "v + 12", "a": "h + 14", "k": "a + 5", "d": "k + 13", "n": "d + 13", "w": "n + 11", "o": "w + 13", "h": 4}, "premises": {"h": 4}, "target": "f"}, "answer": {"steps": [["v", "r + 2", "r + 14"], ["r", "l + 18", "l + 32"], ["l", "j + 10", "j + 42"], ["j", "e + 10", "e + 52"], ["e", "h + 17", "h + 69"], ["h", 4, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"h": 4}, "is_reverse": true}}
| 3,813
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = e + 10; d = k + 13; a = h + 14; v = r + 2; k = a + 5; l = j + 10; n = d + 13; o = w + 13; w = n + 11; h = 4; f = v + 12; e = h + 17; r = l + 18. If h = 4, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 2 to f, which gives f = r + 14.\n2. Substitute r = l + 18 to f, which gives f = l + 32.\n3. Substitute l = j + 10 to f, which gives f = j + 42.\n4. Substitute j = e + 10 to f, which gives f = e + 52.\n5. Substitute e = h + 17 to f, which gives f = h + 69.\n6. Substitute h = 4 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 3813,
"question": "Consider a system of variables where each variable is defined as follows: j = e + 10; d = k + 13; a = h + 14; v = r + 2; k = a + 5; l = j + 10; n = d + 13; o = w + 13; w = n + 11; h = 4; f = v + 12; e = h + 17; r = l + 18. If h = 4, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"v": "j + 5", "u": "v + 7", "n": "u + 1", "t": "n + 13", "d": "t + 8", "w": "d + 13", "z": "j + 13", "e": "z + 14", "y": "e + 10", "s": "y + 1", "f": "s + 13", "b": "f + 13", "j": 12}, "premises": {"j": 12}, "target": "w"}, "answer": {"steps": [["d", "t + 8", "t + 21"], ["t", "n + 13", "n + 34"], ["n", "u + 1", "u + 35"], ["u", "v + 7", "v + 42"], ["v", "j + 5", "j + 47"], ["j", 12, "59"]], "target_var_name": "w", "target_value": 59, "value_dict": {"j": 12}, "is_reverse": true}}
| 3,814
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = t + 8; u = v + 7; t = n + 13; z = j + 13; n = u + 1; s = y + 1; j = 12; b = f + 13; w = d + 13; v = j + 5; f = s + 13; y = e + 10; e = z + 14. If j = 12, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 8 to w, which gives w = t + 21.\n2. Substitute t = n + 13 to w, which gives w = n + 34.\n3. Substitute n = u + 1 to w, which gives w = u + 35.\n4. Substitute u = v + 7 to w, which gives w = v + 42.\n5. Substitute v = j + 5 to w, which gives w = j + 47.\n6. Substitute j = 12 to w, which gives w = 59.\n\nThus, the final answer is w = \\boxed{59}.",
"index": 3814,
"question": "Consider a system of variables where each variable is defined as follows: d = t + 8; u = v + 7; t = n + 13; z = j + 13; n = u + 1; s = y + 1; j = 12; b = f + 13; w = d + 13; v = j + 5; f = s + 13; y = e + 10; e = z + 14. If j = 12, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 14", "u": "o + 4", "z": "u + 9", "v": "z + 17", "j": "v + 14", "t": "j + 4", "x": "a + 17", "y": "x + 2", "s": "y + 4", "h": "s + 10", "n": "h + 1", "w": "n + 3", "a": 4}, "premises": {"a": 4}, "target": "t"}, "answer": {"steps": [["j", "v + 14", "v + 18"], ["v", "z + 17", "z + 35"], ["z", "u + 9", "u + 44"], ["u", "o + 4", "o + 48"], ["o", "a + 14", "a + 62"], ["a", 4, "66"]], "target_var_name": "t", "target_value": 66, "value_dict": {"a": 4}, "is_reverse": true}}
| 3,815
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = 4; s = y + 4; x = a + 17; u = o + 4; z = u + 9; t = j + 4; y = x + 2; v = z + 17; j = v + 14; n = h + 1; o = a + 14; h = s + 10; w = n + 3. Given that a = 4, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 14 to t, which gives t = v + 18.\n2. Substitute v = z + 17 to t, which gives t = z + 35.\n3. Substitute z = u + 9 to t, which gives t = u + 44.\n4. Substitute u = o + 4 to t, which gives t = o + 48.\n5. Substitute o = a + 14 to t, which gives t = a + 62.\n6. Substitute a = 4 to t, which gives t = 66.\n\nThus, the final answer is t = \\boxed{66}.",
"index": 3815,
"question": "Suppose a collection of variables is related by the following definitions: a = 4; s = y + 4; x = a + 17; u = o + 4; z = u + 9; t = j + 4; y = x + 2; v = z + 17; j = v + 14; n = h + 1; o = a + 14; h = s + 10; w = n + 3. Given that a = 4, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"z": "m + 15", "u": "z + 9", "y": "u + 7", "k": "y + 17", "r": "k + 13", "j": "r + 7", "s": "m + 15", "w": "s + 3", "o": "w + 11", "b": "o + 20", "a": "b + 11", "x": "a + 5", "m": 5}, "premises": {"m": 5}, "target": "j"}, "answer": {"steps": [["r", "k + 13", "k + 20"], ["k", "y + 17", "y + 37"], ["y", "u + 7", "u + 44"], ["u", "z + 9", "z + 53"], ["z", "m + 15", "m + 68"], ["m", 5, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"m": 5}, "is_reverse": true}}
| 3,816
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = s + 3; a = b + 11; m = 5; k = y + 17; s = m + 15; u = z + 9; y = u + 7; j = r + 7; z = m + 15; o = w + 11; r = k + 13; b = o + 20; x = a + 5. If m = 5, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 13 to j, which gives j = k + 20.\n2. Substitute k = y + 17 to j, which gives j = y + 37.\n3. Substitute y = u + 7 to j, which gives j = u + 44.\n4. Substitute u = z + 9 to j, which gives j = z + 53.\n5. Substitute z = m + 15 to j, which gives j = m + 68.\n6. Substitute m = 5 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 3816,
"question": "Consider a system of variables where each variable is defined as follows: w = s + 3; a = b + 11; m = 5; k = y + 17; s = m + 15; u = z + 9; y = u + 7; j = r + 7; z = m + 15; o = w + 11; r = k + 13; b = o + 20; x = a + 5. If m = 5, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"i": "x + 12", "t": "i + 10", "b": "t + 20", "k": "b + 3", "m": "k + 13", "p": "m + 7", "l": "x + 20", "n": "l + 17", "q": "n + 18", "s": "q + 9", "j": "s + 7", "e": "j + 13", "x": 5}, "premises": {"x": 5}, "target": "p"}, "answer": {"steps": [["m", "k + 13", "k + 20"], ["k", "b + 3", "b + 23"], ["b", "t + 20", "t + 43"], ["t", "i + 10", "i + 53"], ["i", "x + 12", "x + 65"], ["x", 5, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"x": 5}, "is_reverse": true}}
| 3,817
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = j + 13; j = s + 7; l = x + 20; b = t + 20; x = 5; n = l + 17; t = i + 10; i = x + 12; s = q + 9; q = n + 18; m = k + 13; k = b + 3; p = m + 7. Given that x = 5, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 13 to p, which gives p = k + 20.\n2. Substitute k = b + 3 to p, which gives p = b + 23.\n3. Substitute b = t + 20 to p, which gives p = t + 43.\n4. Substitute t = i + 10 to p, which gives p = i + 53.\n5. Substitute i = x + 12 to p, which gives p = x + 65.\n6. Substitute x = 5 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 3817,
"question": "Suppose a collection of variables is related by the following definitions: e = j + 13; j = s + 7; l = x + 20; b = t + 20; x = 5; n = l + 17; t = i + 10; i = x + 12; s = q + 9; q = n + 18; m = k + 13; k = b + 3; p = m + 7. Given that x = 5, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"d": "y + 13", "b": "d + 4", "n": "b + 14", "c": "n + 3", "m": "c + 7", "v": "m + 17", "u": "y + 11", "r": "u + 11", "e": "r + 14", "i": "e + 8", "p": "i + 12", "f": "p + 19", "y": 14}, "premises": {"y": 14}, "target": "v"}, "answer": {"steps": [["m", "c + 7", "c + 24"], ["c", "n + 3", "n + 27"], ["n", "b + 14", "b + 41"], ["b", "d + 4", "d + 45"], ["d", "y + 13", "y + 58"], ["y", 14, "72"]], "target_var_name": "v", "target_value": 72, "value_dict": {"y": 14}, "is_reverse": true}}
| 3,818
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = d + 4; u = y + 11; c = n + 3; p = i + 12; v = m + 17; i = e + 8; f = p + 19; d = y + 13; y = 14; n = b + 14; e = r + 14; r = u + 11; m = c + 7. If y = 14, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 7 to v, which gives v = c + 24.\n2. Substitute c = n + 3 to v, which gives v = n + 27.\n3. Substitute n = b + 14 to v, which gives v = b + 41.\n4. Substitute b = d + 4 to v, which gives v = d + 45.\n5. Substitute d = y + 13 to v, which gives v = y + 58.\n6. Substitute y = 14 to v, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 3818,
"question": "Consider a system of variables where each variable is defined as follows: b = d + 4; u = y + 11; c = n + 3; p = i + 12; v = m + 17; i = e + 8; f = p + 19; d = y + 13; y = 14; n = b + 14; e = r + 14; r = u + 11; m = c + 7. If y = 14, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"e": "w + 12", "c": "e + 20", "l": "c + 14", "t": "l + 18", "h": "t + 5", "y": "h + 9", "p": "w + 14", "j": "p + 10", "g": "j + 11", "v": "g + 17", "k": "v + 6", "f": "k + 12", "w": 18}, "premises": {"w": 18}, "target": "y"}, "answer": {"steps": [["h", "t + 5", "t + 14"], ["t", "l + 18", "l + 32"], ["l", "c + 14", "c + 46"], ["c", "e + 20", "e + 66"], ["e", "w + 12", "w + 78"], ["w", 18, "96"]], "target_var_name": "y", "target_value": 96, "value_dict": {"w": 18}, "is_reverse": true}}
| 3,819
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = k + 12; l = c + 14; w = 18; p = w + 14; t = l + 18; v = g + 17; k = v + 6; e = w + 12; h = t + 5; c = e + 20; g = j + 11; j = p + 10; y = h + 9. If w = 18, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 5 to y, which gives y = t + 14.\n2. Substitute t = l + 18 to y, which gives y = l + 32.\n3. Substitute l = c + 14 to y, which gives y = c + 46.\n4. Substitute c = e + 20 to y, which gives y = e + 66.\n5. Substitute e = w + 12 to y, which gives y = w + 78.\n6. Substitute w = 18 to y, which gives y = 96.\n\nThus, the final answer is y = \\boxed{96}.",
"index": 3819,
"question": "Consider a system of variables where each variable is defined as follows: f = k + 12; l = c + 14; w = 18; p = w + 14; t = l + 18; v = g + 17; k = v + 6; e = w + 12; h = t + 5; c = e + 20; g = j + 11; j = p + 10; y = h + 9. If w = 18, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"o": "h + 9", "i": "o + 16", "e": "i + 8", "p": "e + 3", "c": "p + 14", "m": "c + 20", "k": "h + 17", "r": "k + 14", "n": "r + 11", "w": "n + 14", "l": "w + 12", "z": "l + 17", "h": 15}, "premises": {"h": 15}, "target": "m"}, "answer": {"steps": [["c", "p + 14", "p + 34"], ["p", "e + 3", "e + 37"], ["e", "i + 8", "i + 45"], ["i", "o + 16", "o + 61"], ["o", "h + 9", "h + 70"], ["h", 15, "85"]], "target_var_name": "m", "target_value": 85, "value_dict": {"h": 15}, "is_reverse": true}}
| 3,820
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = k + 14; i = o + 16; w = n + 14; z = l + 17; m = c + 20; n = r + 11; k = h + 17; e = i + 8; c = p + 14; l = w + 12; o = h + 9; h = 15; p = e + 3. Given that h = 15, 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 c = p + 14 to m, which gives m = p + 34.\n2. Substitute p = e + 3 to m, which gives m = e + 37.\n3. Substitute e = i + 8 to m, which gives m = i + 45.\n4. Substitute i = o + 16 to m, which gives m = o + 61.\n5. Substitute o = h + 9 to m, which gives m = h + 70.\n6. Substitute h = 15 to m, which gives m = 85.\n\nThus, the final answer is m = \\boxed{85}.",
"index": 3820,
"question": "Suppose a collection of variables is related by the following definitions: r = k + 14; i = o + 16; w = n + 14; z = l + 17; m = c + 20; n = r + 11; k = h + 17; e = i + 8; c = p + 14; l = w + 12; o = h + 9; h = 15; p = e + 3. Given that h = 15, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"y": "i + 5", "u": "y + 13", "j": "u + 19", "q": "j + 14", "z": "q + 10", "v": "z + 14", "b": "i + 14", "g": "b + 20", "e": "g + 4", "o": "e + 4", "d": "o + 2", "a": "d + 18", "i": 6}, "premises": {"i": 6}, "target": "v"}, "answer": {"steps": [["z", "q + 10", "q + 24"], ["q", "j + 14", "j + 38"], ["j", "u + 19", "u + 57"], ["u", "y + 13", "y + 70"], ["y", "i + 5", "i + 75"], ["i", 6, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"i": 6}, "is_reverse": true}}
| 3,821
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = y + 13; j = u + 19; d = o + 2; y = i + 5; a = d + 18; o = e + 4; i = 6; g = b + 20; q = j + 14; e = g + 4; v = z + 14; b = i + 14; z = q + 10. Given that i = 6, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 10 to v, which gives v = q + 24.\n2. Substitute q = j + 14 to v, which gives v = j + 38.\n3. Substitute j = u + 19 to v, which gives v = u + 57.\n4. Substitute u = y + 13 to v, which gives v = y + 70.\n5. Substitute y = i + 5 to v, which gives v = i + 75.\n6. Substitute i = 6 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 3821,
"question": "Suppose a collection of variables is related by the following definitions: u = y + 13; j = u + 19; d = o + 2; y = i + 5; a = d + 18; o = e + 4; i = 6; g = b + 20; q = j + 14; e = g + 4; v = z + 14; b = i + 14; z = q + 10. Given that i = 6, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 2", "s": "w + 13", "q": "s + 7", "y": "q + 2", "d": "y + 13", "t": "d + 11", "x": "m + 13", "h": "x + 4", "o": "h + 3", "j": "o + 4", "p": "j + 16", "c": "p + 1", "m": 16}, "premises": {"m": 16}, "target": "t"}, "answer": {"steps": [["d", "y + 13", "y + 24"], ["y", "q + 2", "q + 26"], ["q", "s + 7", "s + 33"], ["s", "w + 13", "w + 46"], ["w", "m + 2", "m + 48"], ["m", 16, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"m": 16}, "is_reverse": true}}
| 3,822
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = p + 1; d = y + 13; m = 16; x = m + 13; s = w + 13; y = q + 2; w = m + 2; j = o + 4; p = j + 16; o = h + 3; t = d + 11; h = x + 4; q = s + 7. Given that m = 16, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 13 to t, which gives t = y + 24.\n2. Substitute y = q + 2 to t, which gives t = q + 26.\n3. Substitute q = s + 7 to t, which gives t = s + 33.\n4. Substitute s = w + 13 to t, which gives t = w + 46.\n5. Substitute w = m + 2 to t, which gives t = m + 48.\n6. Substitute m = 16 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 3822,
"question": "Suppose a collection of variables is related by the following definitions: c = p + 1; d = y + 13; m = 16; x = m + 13; s = w + 13; y = q + 2; w = m + 2; j = o + 4; p = j + 16; o = h + 3; t = d + 11; h = x + 4; q = s + 7. Given that m = 16, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 12", "j": "n + 16", "p": "j + 11", "v": "p + 14", "w": "v + 7", "a": "w + 4", "b": "q + 4", "t": "b + 17", "r": "t + 8", "s": "r + 14", "e": "s + 15", "z": "e + 2", "q": 3}, "premises": {"q": 3}, "target": "a"}, "answer": {"steps": [["w", "v + 7", "v + 11"], ["v", "p + 14", "p + 25"], ["p", "j + 11", "j + 36"], ["j", "n + 16", "n + 52"], ["n", "q + 12", "q + 64"], ["q", 3, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"q": 3}, "is_reverse": true}}
| 3,823
| 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 = s + 15; q = 3; s = r + 14; n = q + 12; t = b + 17; v = p + 14; r = t + 8; z = e + 2; p = j + 11; w = v + 7; a = w + 4; b = q + 4; j = n + 16. If q = 3, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 7 to a, which gives a = v + 11.\n2. Substitute v = p + 14 to a, which gives a = p + 25.\n3. Substitute p = j + 11 to a, which gives a = j + 36.\n4. Substitute j = n + 16 to a, which gives a = n + 52.\n5. Substitute n = q + 12 to a, which gives a = q + 64.\n6. Substitute q = 3 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 3823,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = s + 15; q = 3; s = r + 14; n = q + 12; t = b + 17; v = p + 14; r = t + 8; z = e + 2; p = j + 11; w = v + 7; a = w + 4; b = q + 4; j = n + 16. If q = 3, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"z": "g + 2", "d": "z + 8", "f": "d + 18", "w": "f + 15", "k": "w + 15", "a": "k + 13", "s": "g + 17", "o": "s + 18", "p": "o + 12", "q": "p + 4", "l": "q + 9", "x": "l + 14", "g": 17}, "premises": {"g": 17}, "target": "a"}, "answer": {"steps": [["k", "w + 15", "w + 28"], ["w", "f + 15", "f + 43"], ["f", "d + 18", "d + 61"], ["d", "z + 8", "z + 69"], ["z", "g + 2", "g + 71"], ["g", 17, "88"]], "target_var_name": "a", "target_value": 88, "value_dict": {"g": 17}, "is_reverse": true}}
| 3,824
| 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 = o + 12; x = l + 14; o = s + 18; s = g + 17; g = 17; q = p + 4; d = z + 8; l = q + 9; k = w + 15; a = k + 13; w = f + 15; f = d + 18; z = g + 2. If g = 17, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 15 to a, which gives a = w + 28.\n2. Substitute w = f + 15 to a, which gives a = f + 43.\n3. Substitute f = d + 18 to a, which gives a = d + 61.\n4. Substitute d = z + 8 to a, which gives a = z + 69.\n5. Substitute z = g + 2 to a, which gives a = g + 71.\n6. Substitute g = 17 to a, which gives a = 88.\n\nThus, the final answer is a = \\boxed{88}.",
"index": 3824,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = o + 12; x = l + 14; o = s + 18; s = g + 17; g = 17; q = p + 4; d = z + 8; l = q + 9; k = w + 15; a = k + 13; w = f + 15; f = d + 18; z = g + 2. If g = 17, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"s": "n + 19", "k": "s + 8", "r": "k + 3", "x": "r + 12", "q": "x + 16", "i": "q + 15", "a": "n + 11", "u": "a + 9", "d": "u + 13", "g": "d + 8", "w": "g + 5", "v": "w + 10", "n": 12}, "premises": {"n": 12}, "target": "i"}, "answer": {"steps": [["q", "x + 16", "x + 31"], ["x", "r + 12", "r + 43"], ["r", "k + 3", "k + 46"], ["k", "s + 8", "s + 54"], ["s", "n + 19", "n + 73"], ["n", 12, "85"]], "target_var_name": "i", "target_value": 85, "value_dict": {"n": 12}, "is_reverse": true}}
| 3,825
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = w + 10; x = r + 12; s = n + 19; r = k + 3; a = n + 11; w = g + 5; u = a + 9; d = u + 13; q = x + 16; i = q + 15; n = 12; k = s + 8; g = d + 8. If n = 12, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 16 to i, which gives i = x + 31.\n2. Substitute x = r + 12 to i, which gives i = r + 43.\n3. Substitute r = k + 3 to i, which gives i = k + 46.\n4. Substitute k = s + 8 to i, which gives i = s + 54.\n5. Substitute s = n + 19 to i, which gives i = n + 73.\n6. Substitute n = 12 to i, which gives i = 85.\n\nThus, the final answer is i = \\boxed{85}.",
"index": 3825,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = w + 10; x = r + 12; s = n + 19; r = k + 3; a = n + 11; w = g + 5; u = a + 9; d = u + 13; q = x + 16; i = q + 15; n = 12; k = s + 8; g = d + 8. If n = 12, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"l": "i + 15", "b": "l + 13", "t": "b + 19", "s": "t + 16", "h": "s + 17", "f": "h + 14", "n": "i + 7", "v": "n + 4", "g": "v + 4", "d": "g + 19", "r": "d + 7", "j": "r + 9", "i": 16}, "premises": {"i": 16}, "target": "f"}, "answer": {"steps": [["h", "s + 17", "s + 31"], ["s", "t + 16", "t + 47"], ["t", "b + 19", "b + 66"], ["b", "l + 13", "l + 79"], ["l", "i + 15", "i + 94"], ["i", 16, "110"]], "target_var_name": "f", "target_value": 110, "value_dict": {"i": 16}, "is_reverse": true}}
| 3,826
| 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 = i + 15; t = b + 19; i = 16; j = r + 9; h = s + 17; f = h + 14; b = l + 13; n = i + 7; v = n + 4; g = v + 4; d = g + 19; s = t + 16; r = d + 7. If i = 16, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 110,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 17 to f, which gives f = s + 31.\n2. Substitute s = t + 16 to f, which gives f = t + 47.\n3. Substitute t = b + 19 to f, which gives f = b + 66.\n4. Substitute b = l + 13 to f, which gives f = l + 79.\n5. Substitute l = i + 15 to f, which gives f = i + 94.\n6. Substitute i = 16 to f, which gives f = 110.\n\nThus, the final answer is f = \\boxed{110}.",
"index": 3826,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 15; t = b + 19; i = 16; j = r + 9; h = s + 17; f = h + 14; b = l + 13; n = i + 7; v = n + 4; g = v + 4; d = g + 19; s = t + 16; r = d + 7. If i = 16, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"w": "b + 4", "h": "w + 10", "c": "h + 4", "m": "c + 12", "u": "m + 15", "j": "u + 8", "q": "b + 18", "g": "q + 13", "f": "g + 4", "o": "f + 4", "d": "o + 20", "t": "d + 12", "b": 4}, "premises": {"b": 4}, "target": "j"}, "answer": {"steps": [["u", "m + 15", "m + 23"], ["m", "c + 12", "c + 35"], ["c", "h + 4", "h + 39"], ["h", "w + 10", "w + 49"], ["w", "b + 4", "b + 53"], ["b", 4, "57"]], "target_var_name": "j", "target_value": 57, "value_dict": {"b": 4}, "is_reverse": true}}
| 3,827
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = m + 15; d = o + 20; w = b + 4; c = h + 4; b = 4; m = c + 12; j = u + 8; o = f + 4; h = w + 10; g = q + 13; q = b + 18; t = d + 12; f = g + 4. Given that b = 4, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 15 to j, which gives j = m + 23.\n2. Substitute m = c + 12 to j, which gives j = c + 35.\n3. Substitute c = h + 4 to j, which gives j = h + 39.\n4. Substitute h = w + 10 to j, which gives j = w + 49.\n5. Substitute w = b + 4 to j, which gives j = b + 53.\n6. Substitute b = 4 to j, which gives j = 57.\n\nThus, the final answer is j = \\boxed{57}.",
"index": 3827,
"question": "Suppose a collection of variables is related by the following definitions: u = m + 15; d = o + 20; w = b + 4; c = h + 4; b = 4; m = c + 12; j = u + 8; o = f + 4; h = w + 10; g = q + 13; q = b + 18; t = d + 12; f = g + 4. Given that b = 4, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"u": "h + 1", "f": "u + 2", "n": "f + 20", "y": "n + 2", "w": "y + 15", "i": "w + 3", "x": "h + 10", "j": "x + 2", "a": "j + 2", "d": "a + 4", "r": "d + 2", "s": "r + 19", "h": 6}, "premises": {"h": 6}, "target": "i"}, "answer": {"steps": [["w", "y + 15", "y + 18"], ["y", "n + 2", "n + 20"], ["n", "f + 20", "f + 40"], ["f", "u + 2", "u + 42"], ["u", "h + 1", "h + 43"], ["h", 6, "49"]], "target_var_name": "i", "target_value": 49, "value_dict": {"h": 6}, "is_reverse": true}}
| 3,828
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = y + 15; x = h + 10; r = d + 2; y = n + 2; i = w + 3; a = j + 2; u = h + 1; f = u + 2; n = f + 20; h = 6; s = r + 19; d = a + 4; j = x + 2. If h = 6, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 15 to i, which gives i = y + 18.\n2. Substitute y = n + 2 to i, which gives i = n + 20.\n3. Substitute n = f + 20 to i, which gives i = f + 40.\n4. Substitute f = u + 2 to i, which gives i = u + 42.\n5. Substitute u = h + 1 to i, which gives i = h + 43.\n6. Substitute h = 6 to i, which gives i = 49.\n\nThus, the final answer is i = \\boxed{49}.",
"index": 3828,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = y + 15; x = h + 10; r = d + 2; y = n + 2; i = w + 3; a = j + 2; u = h + 1; f = u + 2; n = f + 20; h = 6; s = r + 19; d = a + 4; j = x + 2. If h = 6, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"u": "g + 7", "b": "u + 4", "i": "b + 1", "j": "i + 20", "d": "j + 11", "y": "d + 20", "t": "g + 20", "o": "t + 7", "q": "o + 2", "c": "q + 19", "w": "c + 2", "h": "w + 2", "g": 7}, "premises": {"g": 7}, "target": "y"}, "answer": {"steps": [["d", "j + 11", "j + 31"], ["j", "i + 20", "i + 51"], ["i", "b + 1", "b + 52"], ["b", "u + 4", "u + 56"], ["u", "g + 7", "g + 63"], ["g", 7, "70"]], "target_var_name": "y", "target_value": 70, "value_dict": {"g": 7}, "is_reverse": true}}
| 3,829
| 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 = q + 19; j = i + 20; b = u + 4; q = o + 2; u = g + 7; g = 7; w = c + 2; i = b + 1; d = j + 11; y = d + 20; t = g + 20; o = t + 7; h = w + 2. If g = 7, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 11 to y, which gives y = j + 31.\n2. Substitute j = i + 20 to y, which gives y = i + 51.\n3. Substitute i = b + 1 to y, which gives y = b + 52.\n4. Substitute b = u + 4 to y, which gives y = u + 56.\n5. Substitute u = g + 7 to y, which gives y = g + 63.\n6. Substitute g = 7 to y, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 3829,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 19; j = i + 20; b = u + 4; q = o + 2; u = g + 7; g = 7; w = c + 2; i = b + 1; d = j + 11; y = d + 20; t = g + 20; o = t + 7; h = w + 2. If g = 7, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"i": "p + 11", "t": "i + 1", "b": "t + 13", "f": "b + 20", "v": "f + 5", "w": "v + 16", "j": "p + 8", "q": "j + 13", "c": "q + 6", "r": "c + 5", "y": "r + 3", "d": "y + 3", "p": 2}, "premises": {"p": 2}, "target": "w"}, "answer": {"steps": [["v", "f + 5", "f + 21"], ["f", "b + 20", "b + 41"], ["b", "t + 13", "t + 54"], ["t", "i + 1", "i + 55"], ["i", "p + 11", "p + 66"], ["p", 2, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"p": 2}, "is_reverse": true}}
| 3,830
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = f + 5; j = p + 8; y = r + 3; f = b + 20; q = j + 13; t = i + 1; r = c + 5; p = 2; d = y + 3; i = p + 11; w = v + 16; c = q + 6; b = t + 13. If p = 2, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 5 to w, which gives w = f + 21.\n2. Substitute f = b + 20 to w, which gives w = b + 41.\n3. Substitute b = t + 13 to w, which gives w = t + 54.\n4. Substitute t = i + 1 to w, which gives w = i + 55.\n5. Substitute i = p + 11 to w, which gives w = p + 66.\n6. Substitute p = 2 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 3830,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = f + 5; j = p + 8; y = r + 3; f = b + 20; q = j + 13; t = i + 1; r = c + 5; p = 2; d = y + 3; i = p + 11; w = v + 16; c = q + 6; b = t + 13. If p = 2, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"v": "z + 9", "e": "v + 13", "q": "e + 7", "g": "q + 8", "x": "g + 13", "b": "x + 10", "f": "z + 15", "s": "f + 16", "y": "s + 17", "d": "y + 14", "i": "d + 5", "c": "i + 18", "z": 16}, "premises": {"z": 16}, "target": "b"}, "answer": {"steps": [["x", "g + 13", "g + 23"], ["g", "q + 8", "q + 31"], ["q", "e + 7", "e + 38"], ["e", "v + 13", "v + 51"], ["v", "z + 9", "z + 60"], ["z", 16, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"z": 16}, "is_reverse": true}}
| 3,831
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = y + 14; i = d + 5; s = f + 16; e = v + 13; v = z + 9; z = 16; f = z + 15; x = g + 13; c = i + 18; g = q + 8; q = e + 7; b = x + 10; y = s + 17. If z = 16, determine 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 x = g + 13 to b, which gives b = g + 23.\n2. Substitute g = q + 8 to b, which gives b = q + 31.\n3. Substitute q = e + 7 to b, which gives b = e + 38.\n4. Substitute e = v + 13 to b, which gives b = v + 51.\n5. Substitute v = z + 9 to b, which gives b = z + 60.\n6. Substitute z = 16 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 3831,
"question": "Consider a system of variables where each variable is defined as follows: d = y + 14; i = d + 5; s = f + 16; e = v + 13; v = z + 9; z = 16; f = z + 15; x = g + 13; c = i + 18; g = q + 8; q = e + 7; b = x + 10; y = s + 17. If z = 16, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"f": "s + 12", "j": "f + 1", "q": "j + 18", "n": "q + 14", "g": "n + 7", "e": "g + 13", "x": "s + 18", "r": "x + 20", "y": "r + 8", "t": "y + 4", "b": "t + 19", "v": "b + 11", "s": 11}, "premises": {"s": 11}, "target": "e"}, "answer": {"steps": [["g", "n + 7", "n + 20"], ["n", "q + 14", "q + 34"], ["q", "j + 18", "j + 52"], ["j", "f + 1", "f + 53"], ["f", "s + 12", "s + 65"], ["s", 11, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"s": 11}, "is_reverse": true}}
| 3,832
| 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 = q + 14; q = j + 18; s = 11; y = r + 8; g = n + 7; r = x + 20; j = f + 1; f = s + 12; x = s + 18; v = b + 11; e = g + 13; t = y + 4; b = t + 19. If s = 11, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 7 to e, which gives e = n + 20.\n2. Substitute n = q + 14 to e, which gives e = q + 34.\n3. Substitute q = j + 18 to e, which gives e = j + 52.\n4. Substitute j = f + 1 to e, which gives e = f + 53.\n5. Substitute f = s + 12 to e, which gives e = s + 65.\n6. Substitute s = 11 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 3832,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 14; q = j + 18; s = 11; y = r + 8; g = n + 7; r = x + 20; j = f + 1; f = s + 12; x = s + 18; v = b + 11; e = g + 13; t = y + 4; b = t + 19. If s = 11, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"s": "u + 7", "v": "s + 13", "j": "v + 12", "z": "j + 9", "k": "z + 7", "d": "k + 11", "w": "u + 18", "r": "w + 16", "b": "r + 4", "y": "b + 13", "o": "y + 8", "n": "o + 19", "u": 18}, "premises": {"u": 18}, "target": "d"}, "answer": {"steps": [["k", "z + 7", "z + 18"], ["z", "j + 9", "j + 27"], ["j", "v + 12", "v + 39"], ["v", "s + 13", "s + 52"], ["s", "u + 7", "u + 59"], ["u", 18, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"u": 18}, "is_reverse": true}}
| 3,833
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = v + 12; z = j + 9; k = z + 7; b = r + 4; w = u + 18; u = 18; o = y + 8; n = o + 19; d = k + 11; r = w + 16; y = b + 13; s = u + 7; v = s + 13. If u = 18, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 7 to d, which gives d = z + 18.\n2. Substitute z = j + 9 to d, which gives d = j + 27.\n3. Substitute j = v + 12 to d, which gives d = v + 39.\n4. Substitute v = s + 13 to d, which gives d = s + 52.\n5. Substitute s = u + 7 to d, which gives d = u + 59.\n6. Substitute u = 18 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 3833,
"question": "Consider a system of variables where each variable is defined as follows: j = v + 12; z = j + 9; k = z + 7; b = r + 4; w = u + 18; u = 18; o = y + 8; n = o + 19; d = k + 11; r = w + 16; y = b + 13; s = u + 7; v = s + 13. If u = 18, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"w": "a + 4", "j": "w + 10", "c": "j + 11", "x": "c + 19", "y": "x + 13", "z": "y + 3", "v": "a + 7", "m": "v + 8", "n": "m + 16", "u": "n + 13", "l": "u + 19", "b": "l + 10", "a": 11}, "premises": {"a": 11}, "target": "z"}, "answer": {"steps": [["y", "x + 13", "x + 16"], ["x", "c + 19", "c + 35"], ["c", "j + 11", "j + 46"], ["j", "w + 10", "w + 56"], ["w", "a + 4", "a + 60"], ["a", 11, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"a": 11}, "is_reverse": true}}
| 3,834
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 8; n = m + 16; j = w + 10; c = j + 11; x = c + 19; b = l + 10; v = a + 7; y = x + 13; u = n + 13; l = u + 19; z = y + 3; a = 11; w = a + 4. If a = 11, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 13 to z, which gives z = x + 16.\n2. Substitute x = c + 19 to z, which gives z = c + 35.\n3. Substitute c = j + 11 to z, which gives z = j + 46.\n4. Substitute j = w + 10 to z, which gives z = w + 56.\n5. Substitute w = a + 4 to z, which gives z = a + 60.\n6. Substitute a = 11 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 3834,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 8; n = m + 16; j = w + 10; c = j + 11; x = c + 19; b = l + 10; v = a + 7; y = x + 13; u = n + 13; l = u + 19; z = y + 3; a = 11; w = a + 4. If a = 11, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"f": "o + 7", "y": "f + 14", "h": "y + 11", "b": "h + 20", "q": "b + 13", "m": "q + 11", "d": "o + 9", "w": "d + 7", "a": "w + 13", "s": "a + 2", "z": "s + 11", "k": "z + 20", "o": 5}, "premises": {"o": 5}, "target": "m"}, "answer": {"steps": [["q", "b + 13", "b + 24"], ["b", "h + 20", "h + 44"], ["h", "y + 11", "y + 55"], ["y", "f + 14", "f + 69"], ["f", "o + 7", "o + 76"], ["o", 5, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"o": 5}, "is_reverse": true}}
| 3,835
| 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 = h + 20; o = 5; a = w + 13; f = o + 7; q = b + 13; w = d + 7; y = f + 14; m = q + 11; k = z + 20; z = s + 11; d = o + 9; h = y + 11; s = a + 2. If o = 5, 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 q = b + 13 to m, which gives m = b + 24.\n2. Substitute b = h + 20 to m, which gives m = h + 44.\n3. Substitute h = y + 11 to m, which gives m = y + 55.\n4. Substitute y = f + 14 to m, which gives m = f + 69.\n5. Substitute f = o + 7 to m, which gives m = o + 76.\n6. Substitute o = 5 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 3835,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = h + 20; o = 5; a = w + 13; f = o + 7; q = b + 13; w = d + 7; y = f + 14; m = q + 11; k = z + 20; z = s + 11; d = o + 9; h = y + 11; s = a + 2. If o = 5, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"s": "r + 19", "x": "s + 15", "p": "x + 2", "o": "p + 8", "e": "o + 7", "b": "e + 4", "c": "r + 12", "h": "c + 5", "w": "h + 9", "f": "w + 18", "l": "f + 6", "i": "l + 15", "r": 1}, "premises": {"r": 1}, "target": "b"}, "answer": {"steps": [["e", "o + 7", "o + 11"], ["o", "p + 8", "p + 19"], ["p", "x + 2", "x + 21"], ["x", "s + 15", "s + 36"], ["s", "r + 19", "r + 55"], ["r", 1, "56"]], "target_var_name": "b", "target_value": 56, "value_dict": {"r": 1}, "is_reverse": true}}
| 3,836
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = 1; b = e + 4; i = l + 15; p = x + 2; e = o + 7; c = r + 12; o = p + 8; w = h + 9; h = c + 5; s = r + 19; x = s + 15; f = w + 18; l = f + 6. If r = 1, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 7 to b, which gives b = o + 11.\n2. Substitute o = p + 8 to b, which gives b = p + 19.\n3. Substitute p = x + 2 to b, which gives b = x + 21.\n4. Substitute x = s + 15 to b, which gives b = s + 36.\n5. Substitute s = r + 19 to b, which gives b = r + 55.\n6. Substitute r = 1 to b, which gives b = 56.\n\nThus, the final answer is b = \\boxed{56}.",
"index": 3836,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 1; b = e + 4; i = l + 15; p = x + 2; e = o + 7; c = r + 12; o = p + 8; w = h + 9; h = c + 5; s = r + 19; x = s + 15; f = w + 18; l = f + 6. If r = 1, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"v": "i + 2", "a": "v + 20", "d": "a + 9", "z": "d + 8", "e": "z + 7", "m": "e + 4", "t": "i + 12", "u": "t + 14", "o": "u + 9", "g": "o + 15", "l": "g + 2", "p": "l + 7", "i": 1}, "premises": {"i": 1}, "target": "m"}, "answer": {"steps": [["e", "z + 7", "z + 11"], ["z", "d + 8", "d + 19"], ["d", "a + 9", "a + 28"], ["a", "v + 20", "v + 48"], ["v", "i + 2", "i + 50"], ["i", 1, "51"]], "target_var_name": "m", "target_value": 51, "value_dict": {"i": 1}, "is_reverse": true}}
| 3,837
| 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 = i + 12; i = 1; u = t + 14; p = l + 7; d = a + 9; z = d + 8; v = i + 2; e = z + 7; l = g + 2; m = e + 4; a = v + 20; g = o + 15; o = u + 9. If i = 1, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 7 to m, which gives m = z + 11.\n2. Substitute z = d + 8 to m, which gives m = d + 19.\n3. Substitute d = a + 9 to m, which gives m = a + 28.\n4. Substitute a = v + 20 to m, which gives m = v + 48.\n5. Substitute v = i + 2 to m, which gives m = i + 50.\n6. Substitute i = 1 to m, which gives m = 51.\n\nThus, the final answer is m = \\boxed{51}.",
"index": 3837,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = i + 12; i = 1; u = t + 14; p = l + 7; d = a + 9; z = d + 8; v = i + 2; e = z + 7; l = g + 2; m = e + 4; a = v + 20; g = o + 15; o = u + 9. If i = 1, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"u": "n + 1", "c": "u + 1", "a": "c + 12", "g": "a + 14", "b": "g + 13", "e": "b + 1", "r": "n + 13", "s": "r + 11", "w": "s + 17", "m": "w + 16", "h": "m + 7", "p": "h + 18", "n": 8}, "premises": {"n": 8}, "target": "e"}, "answer": {"steps": [["b", "g + 13", "g + 14"], ["g", "a + 14", "a + 28"], ["a", "c + 12", "c + 40"], ["c", "u + 1", "u + 41"], ["u", "n + 1", "n + 42"], ["n", 8, "50"]], "target_var_name": "e", "target_value": 50, "value_dict": {"n": 8}, "is_reverse": true}}
| 3,838
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = n + 13; e = b + 1; s = r + 11; h = m + 7; g = a + 14; u = n + 1; b = g + 13; w = s + 17; n = 8; c = u + 1; p = h + 18; m = w + 16; a = c + 12. Given that n = 8, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 13 to e, which gives e = g + 14.\n2. Substitute g = a + 14 to e, which gives e = a + 28.\n3. Substitute a = c + 12 to e, which gives e = c + 40.\n4. Substitute c = u + 1 to e, which gives e = u + 41.\n5. Substitute u = n + 1 to e, which gives e = n + 42.\n6. Substitute n = 8 to e, which gives e = 50.\n\nThus, the final answer is e = \\boxed{50}.",
"index": 3838,
"question": "Suppose a collection of variables is related by the following definitions: r = n + 13; e = b + 1; s = r + 11; h = m + 7; g = a + 14; u = n + 1; b = g + 13; w = s + 17; n = 8; c = u + 1; p = h + 18; m = w + 16; a = c + 12. Given that n = 8, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"x": "y + 11", "h": "x + 14", "e": "h + 3", "m": "e + 1", "v": "m + 3", "j": "v + 11", "n": "y + 16", "z": "n + 10", "i": "z + 7", "w": "i + 6", "k": "w + 20", "u": "k + 3", "y": 16}, "premises": {"y": 16}, "target": "j"}, "answer": {"steps": [["v", "m + 3", "m + 14"], ["m", "e + 1", "e + 15"], ["e", "h + 3", "h + 18"], ["h", "x + 14", "x + 32"], ["x", "y + 11", "y + 43"], ["y", 16, "59"]], "target_var_name": "j", "target_value": 59, "value_dict": {"y": 16}, "is_reverse": true}}
| 3,839
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = k + 3; h = x + 14; m = e + 1; i = z + 7; z = n + 10; j = v + 11; e = h + 3; y = 16; w = i + 6; k = w + 20; x = y + 11; v = m + 3; n = y + 16. Given that y = 16, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 3 to j, which gives j = m + 14.\n2. Substitute m = e + 1 to j, which gives j = e + 15.\n3. Substitute e = h + 3 to j, which gives j = h + 18.\n4. Substitute h = x + 14 to j, which gives j = x + 32.\n5. Substitute x = y + 11 to j, which gives j = y + 43.\n6. Substitute y = 16 to j, which gives j = 59.\n\nThus, the final answer is j = \\boxed{59}.",
"index": 3839,
"question": "Suppose a collection of variables is related by the following definitions: u = k + 3; h = x + 14; m = e + 1; i = z + 7; z = n + 10; j = v + 11; e = h + 3; y = 16; w = i + 6; k = w + 20; x = y + 11; v = m + 3; n = y + 16. Given that y = 16, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"x": "r + 17", "l": "x + 11", "e": "l + 7", "g": "e + 5", "h": "g + 15", "m": "h + 10", "s": "r + 19", "o": "s + 10", "p": "o + 13", "u": "p + 5", "k": "u + 18", "f": "k + 6", "r": 5}, "premises": {"r": 5}, "target": "m"}, "answer": {"steps": [["h", "g + 15", "g + 25"], ["g", "e + 5", "e + 30"], ["e", "l + 7", "l + 37"], ["l", "x + 11", "x + 48"], ["x", "r + 17", "r + 65"], ["r", 5, "70"]], "target_var_name": "m", "target_value": 70, "value_dict": {"r": 5}, "is_reverse": true}}
| 3,840
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = o + 13; k = u + 18; o = s + 10; s = r + 19; g = e + 5; f = k + 6; r = 5; u = p + 5; x = r + 17; l = x + 11; h = g + 15; m = h + 10; e = l + 7. If r = 5, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 15 to m, which gives m = g + 25.\n2. Substitute g = e + 5 to m, which gives m = e + 30.\n3. Substitute e = l + 7 to m, which gives m = l + 37.\n4. Substitute l = x + 11 to m, which gives m = x + 48.\n5. Substitute x = r + 17 to m, which gives m = r + 65.\n6. Substitute r = 5 to m, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 3840,
"question": "Consider a system of variables where each variable is defined as follows: p = o + 13; k = u + 18; o = s + 10; s = r + 19; g = e + 5; f = k + 6; r = 5; u = p + 5; x = r + 17; l = x + 11; h = g + 15; m = h + 10; e = l + 7. If r = 5, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"u": "m + 4", "v": "u + 2", "k": "v + 9", "w": "k + 18", "y": "w + 18", "n": "y + 11", "a": "m + 5", "t": "a + 13", "z": "t + 8", "r": "z + 3", "o": "r + 1", "b": "o + 11", "m": 13}, "premises": {"m": 13}, "target": "n"}, "answer": {"steps": [["y", "w + 18", "w + 29"], ["w", "k + 18", "k + 47"], ["k", "v + 9", "v + 56"], ["v", "u + 2", "u + 58"], ["u", "m + 4", "m + 62"], ["m", 13, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"m": 13}, "is_reverse": true}}
| 3,841
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = m + 5; r = z + 3; m = 13; u = m + 4; t = a + 13; o = r + 1; v = u + 2; b = o + 11; w = k + 18; n = y + 11; y = w + 18; k = v + 9; z = t + 8. Given that m = 13, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 18 to n, which gives n = w + 29.\n2. Substitute w = k + 18 to n, which gives n = k + 47.\n3. Substitute k = v + 9 to n, which gives n = v + 56.\n4. Substitute v = u + 2 to n, which gives n = u + 58.\n5. Substitute u = m + 4 to n, which gives n = m + 62.\n6. Substitute m = 13 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 3841,
"question": "Suppose a collection of variables is related by the following definitions: a = m + 5; r = z + 3; m = 13; u = m + 4; t = a + 13; o = r + 1; v = u + 2; b = o + 11; w = k + 18; n = y + 11; y = w + 18; k = v + 9; z = t + 8. Given that m = 13, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"z": "a + 16", "y": "z + 2", "v": "y + 10", "i": "v + 6", "n": "i + 6", "l": "n + 8", "b": "a + 9", "f": "b + 8", "c": "f + 13", "o": "c + 4", "g": "o + 13", "w": "g + 20", "a": 11}, "premises": {"a": 11}, "target": "l"}, "answer": {"steps": [["n", "i + 6", "i + 14"], ["i", "v + 6", "v + 20"], ["v", "y + 10", "y + 30"], ["y", "z + 2", "z + 32"], ["z", "a + 16", "a + 48"], ["a", 11, "59"]], "target_var_name": "l", "target_value": 59, "value_dict": {"a": 11}, "is_reverse": true}}
| 3,842
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = a + 9; i = v + 6; v = y + 10; a = 11; o = c + 4; n = i + 6; g = o + 13; y = z + 2; w = g + 20; f = b + 8; l = n + 8; c = f + 13; z = a + 16. Given that a = 11, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 6 to l, which gives l = i + 14.\n2. Substitute i = v + 6 to l, which gives l = v + 20.\n3. Substitute v = y + 10 to l, which gives l = y + 30.\n4. Substitute y = z + 2 to l, which gives l = z + 32.\n5. Substitute z = a + 16 to l, which gives l = a + 48.\n6. Substitute a = 11 to l, which gives l = 59.\n\nThus, the final answer is l = \\boxed{59}.",
"index": 3842,
"question": "Suppose a collection of variables is related by the following definitions: b = a + 9; i = v + 6; v = y + 10; a = 11; o = c + 4; n = i + 6; g = o + 13; y = z + 2; w = g + 20; f = b + 8; l = n + 8; c = f + 13; z = a + 16. Given that a = 11, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"a": "n + 17", "t": "a + 19", "l": "t + 18", "b": "l + 17", "z": "b + 7", "o": "z + 18", "e": "n + 19", "q": "e + 7", "s": "q + 14", "p": "s + 19", "y": "p + 9", "d": "y + 1", "n": 4}, "premises": {"n": 4}, "target": "o"}, "answer": {"steps": [["z", "b + 7", "b + 25"], ["b", "l + 17", "l + 42"], ["l", "t + 18", "t + 60"], ["t", "a + 19", "a + 79"], ["a", "n + 17", "n + 96"], ["n", 4, "100"]], "target_var_name": "o", "target_value": 100, "value_dict": {"n": 4}, "is_reverse": true}}
| 3,843
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = q + 14; e = n + 19; a = n + 17; n = 4; b = l + 17; p = s + 19; y = p + 9; q = e + 7; o = z + 18; t = a + 19; z = b + 7; d = y + 1; l = t + 18. If n = 4, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 7 to o, which gives o = b + 25.\n2. Substitute b = l + 17 to o, which gives o = l + 42.\n3. Substitute l = t + 18 to o, which gives o = t + 60.\n4. Substitute t = a + 19 to o, which gives o = a + 79.\n5. Substitute a = n + 17 to o, which gives o = n + 96.\n6. Substitute n = 4 to o, which gives o = 100.\n\nThus, the final answer is o = \\boxed{100}.",
"index": 3843,
"question": "Consider a system of variables where each variable is defined as follows: s = q + 14; e = n + 19; a = n + 17; n = 4; b = l + 17; p = s + 19; y = p + 9; q = e + 7; o = z + 18; t = a + 19; z = b + 7; d = y + 1; l = t + 18. If n = 4, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"x": "c + 18", "i": "x + 13", "j": "i + 7", "g": "j + 19", "p": "g + 5", "b": "p + 6", "n": "c + 19", "k": "n + 12", "h": "k + 14", "y": "h + 2", "z": "y + 8", "e": "z + 5", "c": 7}, "premises": {"c": 7}, "target": "b"}, "answer": {"steps": [["p", "g + 5", "g + 11"], ["g", "j + 19", "j + 30"], ["j", "i + 7", "i + 37"], ["i", "x + 13", "x + 50"], ["x", "c + 18", "c + 68"], ["c", 7, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"c": 7}, "is_reverse": true}}
| 3,844
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 7; k = n + 12; e = z + 5; i = x + 13; c = 7; b = p + 6; n = c + 19; y = h + 2; x = c + 18; p = g + 5; h = k + 14; z = y + 8; g = j + 19. If c = 7, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 5 to b, which gives b = g + 11.\n2. Substitute g = j + 19 to b, which gives b = j + 30.\n3. Substitute j = i + 7 to b, which gives b = i + 37.\n4. Substitute i = x + 13 to b, which gives b = x + 50.\n5. Substitute x = c + 18 to b, which gives b = c + 68.\n6. Substitute c = 7 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 3844,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 7; k = n + 12; e = z + 5; i = x + 13; c = 7; b = p + 6; n = c + 19; y = h + 2; x = c + 18; p = g + 5; h = k + 14; z = y + 8; g = j + 19. If c = 7, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"o": "i + 14", "v": "o + 11", "m": "v + 18", "b": "m + 1", "j": "b + 7", "g": "j + 3", "h": "i + 9", "y": "h + 19", "l": "y + 7", "x": "l + 15", "k": "x + 1", "s": "k + 3", "i": 5}, "premises": {"i": 5}, "target": "g"}, "answer": {"steps": [["j", "b + 7", "b + 10"], ["b", "m + 1", "m + 11"], ["m", "v + 18", "v + 29"], ["v", "o + 11", "o + 40"], ["o", "i + 14", "i + 54"], ["i", 5, "59"]], "target_var_name": "g", "target_value": 59, "value_dict": {"i": 5}, "is_reverse": true}}
| 3,845
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 1; l = y + 7; o = i + 14; g = j + 3; y = h + 19; h = i + 9; j = b + 7; v = o + 11; k = x + 1; m = v + 18; x = l + 15; i = 5; s = k + 3. Given that i = 5, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 7 to g, which gives g = b + 10.\n2. Substitute b = m + 1 to g, which gives g = m + 11.\n3. Substitute m = v + 18 to g, which gives g = v + 29.\n4. Substitute v = o + 11 to g, which gives g = o + 40.\n5. Substitute o = i + 14 to g, which gives g = i + 54.\n6. Substitute i = 5 to g, which gives g = 59.\n\nThus, the final answer is g = \\boxed{59}.",
"index": 3845,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 1; l = y + 7; o = i + 14; g = j + 3; y = h + 19; h = i + 9; j = b + 7; v = o + 11; k = x + 1; m = v + 18; x = l + 15; i = 5; s = k + 3. Given that i = 5, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"x": "d + 18", "c": "x + 7", "b": "c + 15", "v": "b + 17", "u": "v + 5", "l": "u + 5", "g": "d + 10", "k": "g + 15", "y": "k + 5", "z": "y + 8", "s": "z + 16", "p": "s + 8", "d": 20}, "premises": {"d": 20}, "target": "l"}, "answer": {"steps": [["u", "v + 5", "v + 10"], ["v", "b + 17", "b + 27"], ["b", "c + 15", "c + 42"], ["c", "x + 7", "x + 49"], ["x", "d + 18", "d + 67"], ["d", 20, "87"]], "target_var_name": "l", "target_value": 87, "value_dict": {"d": 20}, "is_reverse": true}}
| 3,846
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 15; y = k + 5; z = y + 8; p = s + 8; d = 20; l = u + 5; g = d + 10; v = b + 17; s = z + 16; u = v + 5; c = x + 7; b = c + 15; x = d + 18. If d = 20, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 5 to l, which gives l = v + 10.\n2. Substitute v = b + 17 to l, which gives l = b + 27.\n3. Substitute b = c + 15 to l, which gives l = c + 42.\n4. Substitute c = x + 7 to l, which gives l = x + 49.\n5. Substitute x = d + 18 to l, which gives l = d + 67.\n6. Substitute d = 20 to l, which gives l = 87.\n\nThus, the final answer is l = \\boxed{87}.",
"index": 3846,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 15; y = k + 5; z = y + 8; p = s + 8; d = 20; l = u + 5; g = d + 10; v = b + 17; s = z + 16; u = v + 5; c = x + 7; b = c + 15; x = d + 18. If d = 20, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"n": "l + 15", "z": "n + 9", "s": "z + 19", "y": "s + 19", "k": "y + 16", "v": "k + 20", "r": "l + 6", "u": "r + 9", "d": "u + 10", "a": "d + 5", "m": "a + 9", "p": "m + 9", "l": 4}, "premises": {"l": 4}, "target": "v"}, "answer": {"steps": [["k", "y + 16", "y + 36"], ["y", "s + 19", "s + 55"], ["s", "z + 19", "z + 74"], ["z", "n + 9", "n + 83"], ["n", "l + 15", "l + 98"], ["l", 4, "102"]], "target_var_name": "v", "target_value": 102, "value_dict": {"l": 4}, "is_reverse": true}}
| 3,847
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = a + 9; y = s + 19; v = k + 20; l = 4; r = l + 6; k = y + 16; u = r + 9; z = n + 9; a = d + 5; s = z + 19; p = m + 9; d = u + 10; n = l + 15. If l = 4, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 16 to v, which gives v = y + 36.\n2. Substitute y = s + 19 to v, which gives v = s + 55.\n3. Substitute s = z + 19 to v, which gives v = z + 74.\n4. Substitute z = n + 9 to v, which gives v = n + 83.\n5. Substitute n = l + 15 to v, which gives v = l + 98.\n6. Substitute l = 4 to v, which gives v = 102.\n\nThus, the final answer is v = \\boxed{102}.",
"index": 3847,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = a + 9; y = s + 19; v = k + 20; l = 4; r = l + 6; k = y + 16; u = r + 9; z = n + 9; a = d + 5; s = z + 19; p = m + 9; d = u + 10; n = l + 15. If l = 4, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"s": "e + 10", "l": "s + 16", "j": "l + 13", "a": "j + 12", "k": "a + 19", "i": "k + 18", "q": "e + 8", "m": "q + 13", "z": "m + 17", "r": "z + 7", "y": "r + 6", "x": "y + 19", "e": 16}, "premises": {"e": 16}, "target": "i"}, "answer": {"steps": [["k", "a + 19", "a + 37"], ["a", "j + 12", "j + 49"], ["j", "l + 13", "l + 62"], ["l", "s + 16", "s + 78"], ["s", "e + 10", "e + 88"], ["e", 16, "104"]], "target_var_name": "i", "target_value": 104, "value_dict": {"e": 16}, "is_reverse": true}}
| 3,848
| 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 + 13; x = y + 19; i = k + 18; y = r + 6; j = l + 13; a = j + 12; k = a + 19; l = s + 16; e = 16; q = e + 8; r = z + 7; z = m + 17; s = e + 10. If e = 16, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 19 to i, which gives i = a + 37.\n2. Substitute a = j + 12 to i, which gives i = j + 49.\n3. Substitute j = l + 13 to i, which gives i = l + 62.\n4. Substitute l = s + 16 to i, which gives i = s + 78.\n5. Substitute s = e + 10 to i, which gives i = e + 88.\n6. Substitute e = 16 to i, which gives i = 104.\n\nThus, the final answer is i = \\boxed{104}.",
"index": 3848,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = q + 13; x = y + 19; i = k + 18; y = r + 6; j = l + 13; a = j + 12; k = a + 19; l = s + 16; e = 16; q = e + 8; r = z + 7; z = m + 17; s = e + 10. If e = 16, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"d": "w + 6", "l": "d + 19", "p": "l + 3", "k": "p + 16", "r": "k + 9", "v": "r + 15", "s": "w + 17", "o": "s + 8", "h": "o + 18", "t": "h + 1", "m": "t + 10", "e": "m + 5", "w": 15}, "premises": {"w": 15}, "target": "v"}, "answer": {"steps": [["r", "k + 9", "k + 24"], ["k", "p + 16", "p + 40"], ["p", "l + 3", "l + 43"], ["l", "d + 19", "d + 62"], ["d", "w + 6", "w + 68"], ["w", 15, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"w": 15}, "is_reverse": true}}
| 3,849
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = w + 6; l = d + 19; m = t + 10; h = o + 18; v = r + 15; e = m + 5; t = h + 1; r = k + 9; s = w + 17; w = 15; p = l + 3; k = p + 16; o = s + 8. If w = 15, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 9 to v, which gives v = k + 24.\n2. Substitute k = p + 16 to v, which gives v = p + 40.\n3. Substitute p = l + 3 to v, which gives v = l + 43.\n4. Substitute l = d + 19 to v, which gives v = d + 62.\n5. Substitute d = w + 6 to v, which gives v = w + 68.\n6. Substitute w = 15 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 3849,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = w + 6; l = d + 19; m = t + 10; h = o + 18; v = r + 15; e = m + 5; t = h + 1; r = k + 9; s = w + 17; w = 15; p = l + 3; k = p + 16; o = s + 8. If w = 15, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"b": "g + 9", "n": "b + 6", "w": "n + 14", "f": "w + 16", "k": "f + 8", "v": "k + 2", "t": "g + 3", "u": "t + 15", "o": "u + 19", "m": "o + 2", "l": "m + 20", "x": "l + 16", "g": 7}, "premises": {"g": 7}, "target": "v"}, "answer": {"steps": [["k", "f + 8", "f + 10"], ["f", "w + 16", "w + 26"], ["w", "n + 14", "n + 40"], ["n", "b + 6", "b + 46"], ["b", "g + 9", "g + 55"], ["g", 7, "62"]], "target_var_name": "v", "target_value": 62, "value_dict": {"g": 7}, "is_reverse": true}}
| 3,850
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = l + 16; o = u + 19; g = 7; t = g + 3; w = n + 14; u = t + 15; k = f + 8; n = b + 6; v = k + 2; b = g + 9; m = o + 2; l = m + 20; f = w + 16. Given that g = 7, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 8 to v, which gives v = f + 10.\n2. Substitute f = w + 16 to v, which gives v = w + 26.\n3. Substitute w = n + 14 to v, which gives v = n + 40.\n4. Substitute n = b + 6 to v, which gives v = b + 46.\n5. Substitute b = g + 9 to v, which gives v = g + 55.\n6. Substitute g = 7 to v, which gives v = 62.\n\nThus, the final answer is v = \\boxed{62}.",
"index": 3850,
"question": "Suppose a collection of variables is related by the following definitions: x = l + 16; o = u + 19; g = 7; t = g + 3; w = n + 14; u = t + 15; k = f + 8; n = b + 6; v = k + 2; b = g + 9; m = o + 2; l = m + 20; f = w + 16. Given that g = 7, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"f": "y + 11", "w": "f + 19", "l": "w + 17", "o": "l + 5", "x": "o + 3", "r": "x + 16", "s": "y + 9", "a": "s + 11", "t": "a + 8", "k": "t + 18", "u": "k + 9", "n": "u + 15", "y": 9}, "premises": {"y": 9}, "target": "r"}, "answer": {"steps": [["x", "o + 3", "o + 19"], ["o", "l + 5", "l + 24"], ["l", "w + 17", "w + 41"], ["w", "f + 19", "f + 60"], ["f", "y + 11", "y + 71"], ["y", 9, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"y": 9}, "is_reverse": true}}
| 3,851
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = y + 11; t = a + 8; s = y + 9; n = u + 15; u = k + 9; o = l + 5; k = t + 18; l = w + 17; y = 9; w = f + 19; a = s + 11; x = o + 3; r = x + 16. If y = 9, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 3 to r, which gives r = o + 19.\n2. Substitute o = l + 5 to r, which gives r = l + 24.\n3. Substitute l = w + 17 to r, which gives r = w + 41.\n4. Substitute w = f + 19 to r, which gives r = f + 60.\n5. Substitute f = y + 11 to r, which gives r = y + 71.\n6. Substitute y = 9 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 3851,
"question": "Consider a system of variables where each variable is defined as follows: f = y + 11; t = a + 8; s = y + 9; n = u + 15; u = k + 9; o = l + 5; k = t + 18; l = w + 17; y = 9; w = f + 19; a = s + 11; x = o + 3; r = x + 16. If y = 9, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 3", "i": "e + 20", "f": "i + 3", "t": "f + 1", "g": "t + 4", "j": "g + 16", "w": "d + 9", "q": "w + 10", "u": "q + 19", "m": "u + 5", "r": "m + 12", "o": "r + 13", "d": 2}, "premises": {"d": 2}, "target": "j"}, "answer": {"steps": [["g", "t + 4", "t + 20"], ["t", "f + 1", "f + 21"], ["f", "i + 3", "i + 24"], ["i", "e + 20", "e + 44"], ["e", "d + 3", "d + 47"], ["d", 2, "49"]], "target_var_name": "j", "target_value": 49, "value_dict": {"d": 2}, "is_reverse": true}}
| 3,852
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = w + 10; u = q + 19; w = d + 9; t = f + 1; e = d + 3; f = i + 3; i = e + 20; r = m + 12; j = g + 16; o = r + 13; d = 2; g = t + 4; m = u + 5. Given that d = 2, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 4 to j, which gives j = t + 20.\n2. Substitute t = f + 1 to j, which gives j = f + 21.\n3. Substitute f = i + 3 to j, which gives j = i + 24.\n4. Substitute i = e + 20 to j, which gives j = e + 44.\n5. Substitute e = d + 3 to j, which gives j = d + 47.\n6. Substitute d = 2 to j, which gives j = 49.\n\nThus, the final answer is j = \\boxed{49}.",
"index": 3852,
"question": "Suppose a collection of variables is related by the following definitions: q = w + 10; u = q + 19; w = d + 9; t = f + 1; e = d + 3; f = i + 3; i = e + 20; r = m + 12; j = g + 16; o = r + 13; d = 2; g = t + 4; m = u + 5. Given that d = 2, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"y": "u + 5", "f": "y + 9", "s": "f + 2", "q": "s + 1", "i": "q + 17", "x": "i + 17", "d": "u + 13", "e": "d + 13", "o": "e + 11", "r": "o + 1", "l": "r + 14", "j": "l + 10", "u": 13}, "premises": {"u": 13}, "target": "x"}, "answer": {"steps": [["i", "q + 17", "q + 34"], ["q", "s + 1", "s + 35"], ["s", "f + 2", "f + 37"], ["f", "y + 9", "y + 46"], ["y", "u + 5", "u + 51"], ["u", 13, "64"]], "target_var_name": "x", "target_value": 64, "value_dict": {"u": 13}, "is_reverse": true}}
| 3,853
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = s + 1; e = d + 13; x = i + 17; y = u + 5; i = q + 17; l = r + 14; d = u + 13; j = l + 10; s = f + 2; u = 13; r = o + 1; f = y + 9; o = e + 11. Given that u = 13, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 17 to x, which gives x = q + 34.\n2. Substitute q = s + 1 to x, which gives x = s + 35.\n3. Substitute s = f + 2 to x, which gives x = f + 37.\n4. Substitute f = y + 9 to x, which gives x = y + 46.\n5. Substitute y = u + 5 to x, which gives x = u + 51.\n6. Substitute u = 13 to x, which gives x = 64.\n\nThus, the final answer is x = \\boxed{64}.",
"index": 3853,
"question": "Suppose a collection of variables is related by the following definitions: q = s + 1; e = d + 13; x = i + 17; y = u + 5; i = q + 17; l = r + 14; d = u + 13; j = l + 10; s = f + 2; u = 13; r = o + 1; f = y + 9; o = e + 11. Given that u = 13, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"p": "i + 6", "g": "p + 13", "m": "g + 8", "n": "m + 14", "z": "n + 2", "h": "z + 19", "j": "i + 18", "c": "j + 19", "v": "c + 7", "x": "v + 19", "w": "x + 9", "k": "w + 13", "i": 9}, "premises": {"i": 9}, "target": "h"}, "answer": {"steps": [["z", "n + 2", "n + 21"], ["n", "m + 14", "m + 35"], ["m", "g + 8", "g + 43"], ["g", "p + 13", "p + 56"], ["p", "i + 6", "i + 62"], ["i", 9, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"i": 9}, "is_reverse": true}}
| 3,854
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = i + 18; i = 9; x = v + 19; p = i + 6; c = j + 19; z = n + 2; k = w + 13; h = z + 19; g = p + 13; v = c + 7; n = m + 14; w = x + 9; m = g + 8. If i = 9, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 2 to h, which gives h = n + 21.\n2. Substitute n = m + 14 to h, which gives h = m + 35.\n3. Substitute m = g + 8 to h, which gives h = g + 43.\n4. Substitute g = p + 13 to h, which gives h = p + 56.\n5. Substitute p = i + 6 to h, which gives h = i + 62.\n6. Substitute i = 9 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 3854,
"question": "Consider a system of variables where each variable is defined as follows: j = i + 18; i = 9; x = v + 19; p = i + 6; c = j + 19; z = n + 2; k = w + 13; h = z + 19; g = p + 13; v = c + 7; n = m + 14; w = x + 9; m = g + 8. If i = 9, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"z": "h + 1", "m": "z + 3", "a": "m + 19", "x": "a + 19", "n": "x + 11", "v": "n + 16", "e": "h + 2", "t": "e + 5", "i": "t + 10", "d": "i + 15", "f": "d + 1", "g": "f + 9", "h": 18}, "premises": {"h": 18}, "target": "v"}, "answer": {"steps": [["n", "x + 11", "x + 27"], ["x", "a + 19", "a + 46"], ["a", "m + 19", "m + 65"], ["m", "z + 3", "z + 68"], ["z", "h + 1", "h + 69"], ["h", 18, "87"]], "target_var_name": "v", "target_value": 87, "value_dict": {"h": 18}, "is_reverse": true}}
| 3,855
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = a + 19; h = 18; n = x + 11; d = i + 15; g = f + 9; t = e + 5; a = m + 19; v = n + 16; z = h + 1; f = d + 1; i = t + 10; m = z + 3; e = h + 2. Given that h = 18, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 11 to v, which gives v = x + 27.\n2. Substitute x = a + 19 to v, which gives v = a + 46.\n3. Substitute a = m + 19 to v, which gives v = m + 65.\n4. Substitute m = z + 3 to v, which gives v = z + 68.\n5. Substitute z = h + 1 to v, which gives v = h + 69.\n6. Substitute h = 18 to v, which gives v = 87.\n\nThus, the final answer is v = \\boxed{87}.",
"index": 3855,
"question": "Suppose a collection of variables is related by the following definitions: x = a + 19; h = 18; n = x + 11; d = i + 15; g = f + 9; t = e + 5; a = m + 19; v = n + 16; z = h + 1; f = d + 1; i = t + 10; m = z + 3; e = h + 2. Given that h = 18, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"n": "b + 13", "m": "n + 20", "l": "m + 6", "s": "l + 10", "v": "s + 16", "r": "v + 11", "u": "b + 13", "o": "u + 7", "x": "o + 5", "c": "x + 3", "f": "c + 18", "i": "f + 11", "b": 7}, "premises": {"b": 7}, "target": "r"}, "answer": {"steps": [["v", "s + 16", "s + 27"], ["s", "l + 10", "l + 37"], ["l", "m + 6", "m + 43"], ["m", "n + 20", "n + 63"], ["n", "b + 13", "b + 76"], ["b", 7, "83"]], "target_var_name": "r", "target_value": 83, "value_dict": {"b": 7}, "is_reverse": true}}
| 3,856
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = m + 6; o = u + 7; b = 7; u = b + 13; n = b + 13; r = v + 11; x = o + 5; m = n + 20; f = c + 18; s = l + 10; v = s + 16; i = f + 11; c = x + 3. Given that b = 7, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 16 to r, which gives r = s + 27.\n2. Substitute s = l + 10 to r, which gives r = l + 37.\n3. Substitute l = m + 6 to r, which gives r = m + 43.\n4. Substitute m = n + 20 to r, which gives r = n + 63.\n5. Substitute n = b + 13 to r, which gives r = b + 76.\n6. Substitute b = 7 to r, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 3856,
"question": "Suppose a collection of variables is related by the following definitions: l = m + 6; o = u + 7; b = 7; u = b + 13; n = b + 13; r = v + 11; x = o + 5; m = n + 20; f = c + 18; s = l + 10; v = s + 16; i = f + 11; c = x + 3. Given that b = 7, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"u": "x + 6", "o": "u + 13", "l": "o + 15", "m": "l + 15", "c": "m + 11", "n": "c + 11", "p": "x + 3", "a": "p + 16", "s": "a + 18", "i": "s + 3", "g": "i + 4", "d": "g + 6", "x": 19}, "premises": {"x": 19}, "target": "n"}, "answer": {"steps": [["c", "m + 11", "m + 22"], ["m", "l + 15", "l + 37"], ["l", "o + 15", "o + 52"], ["o", "u + 13", "u + 65"], ["u", "x + 6", "x + 71"], ["x", 19, "90"]], "target_var_name": "n", "target_value": 90, "value_dict": {"x": 19}, "is_reverse": true}}
| 3,857
| 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 = l + 15; l = o + 15; n = c + 11; s = a + 18; u = x + 6; c = m + 11; d = g + 6; x = 19; o = u + 13; p = x + 3; a = p + 16; g = i + 4; i = s + 3. If x = 19, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 11 to n, which gives n = m + 22.\n2. Substitute m = l + 15 to n, which gives n = l + 37.\n3. Substitute l = o + 15 to n, which gives n = o + 52.\n4. Substitute o = u + 13 to n, which gives n = u + 65.\n5. Substitute u = x + 6 to n, which gives n = x + 71.\n6. Substitute x = 19 to n, which gives n = 90.\n\nThus, the final answer is n = \\boxed{90}.",
"index": 3857,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = l + 15; l = o + 15; n = c + 11; s = a + 18; u = x + 6; c = m + 11; d = g + 6; x = 19; o = u + 13; p = x + 3; a = p + 16; g = i + 4; i = s + 3. If x = 19, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"p": "m + 3", "s": "p + 7", "q": "s + 11", "d": "q + 7", "r": "d + 20", "b": "r + 10", "k": "m + 9", "n": "k + 3", "w": "n + 7", "z": "w + 8", "t": "z + 4", "o": "t + 17", "m": 6}, "premises": {"m": 6}, "target": "b"}, "answer": {"steps": [["r", "d + 20", "d + 30"], ["d", "q + 7", "q + 37"], ["q", "s + 11", "s + 48"], ["s", "p + 7", "p + 55"], ["p", "m + 3", "m + 58"], ["m", 6, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"m": 6}, "is_reverse": true}}
| 3,858
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = m + 3; d = q + 7; q = s + 11; k = m + 9; s = p + 7; b = r + 10; o = t + 17; n = k + 3; w = n + 7; z = w + 8; r = d + 20; t = z + 4; m = 6. Given that m = 6, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 20 to b, which gives b = d + 30.\n2. Substitute d = q + 7 to b, which gives b = q + 37.\n3. Substitute q = s + 11 to b, which gives b = s + 48.\n4. Substitute s = p + 7 to b, which gives b = p + 55.\n5. Substitute p = m + 3 to b, which gives b = m + 58.\n6. Substitute m = 6 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 3858,
"question": "Suppose a collection of variables is related by the following definitions: p = m + 3; d = q + 7; q = s + 11; k = m + 9; s = p + 7; b = r + 10; o = t + 17; n = k + 3; w = n + 7; z = w + 8; r = d + 20; t = z + 4; m = 6. Given that m = 6, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"q": "z + 13", "v": "q + 9", "s": "v + 3", "b": "s + 18", "w": "b + 10", "r": "w + 17", "e": "z + 14", "p": "e + 4", "i": "p + 2", "o": "i + 13", "x": "o + 11", "h": "x + 19", "z": 4}, "premises": {"z": 4}, "target": "r"}, "answer": {"steps": [["w", "b + 10", "b + 27"], ["b", "s + 18", "s + 45"], ["s", "v + 3", "v + 48"], ["v", "q + 9", "q + 57"], ["q", "z + 13", "z + 70"], ["z", 4, "74"]], "target_var_name": "r", "target_value": 74, "value_dict": {"z": 4}, "is_reverse": true}}
| 3,859
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = b + 10; e = z + 14; x = o + 11; o = i + 13; h = x + 19; s = v + 3; r = w + 17; p = e + 4; b = s + 18; i = p + 2; z = 4; q = z + 13; v = q + 9. If z = 4, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 10 to r, which gives r = b + 27.\n2. Substitute b = s + 18 to r, which gives r = s + 45.\n3. Substitute s = v + 3 to r, which gives r = v + 48.\n4. Substitute v = q + 9 to r, which gives r = q + 57.\n5. Substitute q = z + 13 to r, which gives r = z + 70.\n6. Substitute z = 4 to r, which gives r = 74.\n\nThus, the final answer is r = \\boxed{74}.",
"index": 3859,
"question": "Consider a system of variables where each variable is defined as follows: w = b + 10; e = z + 14; x = o + 11; o = i + 13; h = x + 19; s = v + 3; r = w + 17; p = e + 4; b = s + 18; i = p + 2; z = 4; q = z + 13; v = q + 9. If z = 4, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"c": "r + 11", "o": "c + 2", "m": "o + 6", "y": "m + 5", "b": "y + 15", "u": "b + 2", "i": "r + 11", "f": "i + 11", "l": "f + 4", "q": "l + 7", "s": "q + 6", "e": "s + 6", "r": 6}, "premises": {"r": 6}, "target": "u"}, "answer": {"steps": [["b", "y + 15", "y + 17"], ["y", "m + 5", "m + 22"], ["m", "o + 6", "o + 28"], ["o", "c + 2", "c + 30"], ["c", "r + 11", "r + 41"], ["r", 6, "47"]], "target_var_name": "u", "target_value": 47, "value_dict": {"r": 6}, "is_reverse": true}}
| 3,860
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = 6; q = l + 7; b = y + 15; s = q + 6; u = b + 2; i = r + 11; o = c + 2; c = r + 11; m = o + 6; f = i + 11; e = s + 6; y = m + 5; l = f + 4. If r = 6, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 15 to u, which gives u = y + 17.\n2. Substitute y = m + 5 to u, which gives u = m + 22.\n3. Substitute m = o + 6 to u, which gives u = o + 28.\n4. Substitute o = c + 2 to u, which gives u = c + 30.\n5. Substitute c = r + 11 to u, which gives u = r + 41.\n6. Substitute r = 6 to u, which gives u = 47.\n\nThus, the final answer is u = \\boxed{47}.",
"index": 3860,
"question": "Consider a system of variables where each variable is defined as follows: r = 6; q = l + 7; b = y + 15; s = q + 6; u = b + 2; i = r + 11; o = c + 2; c = r + 11; m = o + 6; f = i + 11; e = s + 6; y = m + 5; l = f + 4. If r = 6, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"f": "w + 14", "m": "f + 5", "t": "m + 2", "s": "t + 12", "d": "s + 15", "e": "d + 8", "q": "w + 3", "b": "q + 11", "l": "b + 2", "j": "l + 19", "a": "j + 10", "u": "a + 11", "w": 20}, "premises": {"w": 20}, "target": "e"}, "answer": {"steps": [["d", "s + 15", "s + 23"], ["s", "t + 12", "t + 35"], ["t", "m + 2", "m + 37"], ["m", "f + 5", "f + 42"], ["f", "w + 14", "w + 56"], ["w", 20, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"w": 20}, "is_reverse": true}}
| 3,861
| 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 = 20; e = d + 8; d = s + 15; a = j + 10; m = f + 5; t = m + 2; b = q + 11; u = a + 11; f = w + 14; s = t + 12; j = l + 19; l = b + 2; q = w + 3. If w = 20, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 15 to e, which gives e = s + 23.\n2. Substitute s = t + 12 to e, which gives e = t + 35.\n3. Substitute t = m + 2 to e, which gives e = m + 37.\n4. Substitute m = f + 5 to e, which gives e = f + 42.\n5. Substitute f = w + 14 to e, which gives e = w + 56.\n6. Substitute w = 20 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 3861,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 20; e = d + 8; d = s + 15; a = j + 10; m = f + 5; t = m + 2; b = q + 11; u = a + 11; f = w + 14; s = t + 12; j = l + 19; l = b + 2; q = w + 3. If w = 20, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"e": "w + 13", "u": "e + 18", "z": "u + 2", "m": "z + 10", "k": "m + 9", "i": "k + 18", "g": "w + 13", "n": "g + 10", "c": "n + 1", "d": "c + 12", "o": "d + 3", "l": "o + 11", "w": 16}, "premises": {"w": 16}, "target": "i"}, "answer": {"steps": [["k", "m + 9", "m + 27"], ["m", "z + 10", "z + 37"], ["z", "u + 2", "u + 39"], ["u", "e + 18", "e + 57"], ["e", "w + 13", "w + 70"], ["w", 16, "86"]], "target_var_name": "i", "target_value": 86, "value_dict": {"w": 16}, "is_reverse": true}}
| 3,862
| 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 = d + 3; k = m + 9; g = w + 13; c = n + 1; d = c + 12; e = w + 13; i = k + 18; m = z + 10; w = 16; u = e + 18; n = g + 10; z = u + 2; l = o + 11. If w = 16, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 9 to i, which gives i = m + 27.\n2. Substitute m = z + 10 to i, which gives i = z + 37.\n3. Substitute z = u + 2 to i, which gives i = u + 39.\n4. Substitute u = e + 18 to i, which gives i = e + 57.\n5. Substitute e = w + 13 to i, which gives i = w + 70.\n6. Substitute w = 16 to i, which gives i = 86.\n\nThus, the final answer is i = \\boxed{86}.",
"index": 3862,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = d + 3; k = m + 9; g = w + 13; c = n + 1; d = c + 12; e = w + 13; i = k + 18; m = z + 10; w = 16; u = e + 18; n = g + 10; z = u + 2; l = o + 11. If w = 16, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"n": "i + 11", "v": "n + 7", "l": "v + 14", "m": "l + 9", "y": "m + 9", "d": "y + 12", "u": "i + 9", "t": "u + 15", "s": "t + 10", "e": "s + 13", "p": "e + 11", "o": "p + 3", "i": 17}, "premises": {"i": 17}, "target": "d"}, "answer": {"steps": [["y", "m + 9", "m + 21"], ["m", "l + 9", "l + 30"], ["l", "v + 14", "v + 44"], ["v", "n + 7", "n + 51"], ["n", "i + 11", "i + 62"], ["i", 17, "79"]], "target_var_name": "d", "target_value": 79, "value_dict": {"i": 17}, "is_reverse": true}}
| 3,863
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = n + 7; m = l + 9; d = y + 12; t = u + 15; y = m + 9; o = p + 3; l = v + 14; i = 17; s = t + 10; p = e + 11; n = i + 11; u = i + 9; e = s + 13. If i = 17, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 9 to d, which gives d = m + 21.\n2. Substitute m = l + 9 to d, which gives d = l + 30.\n3. Substitute l = v + 14 to d, which gives d = v + 44.\n4. Substitute v = n + 7 to d, which gives d = n + 51.\n5. Substitute n = i + 11 to d, which gives d = i + 62.\n6. Substitute i = 17 to d, which gives d = 79.\n\nThus, the final answer is d = \\boxed{79}.",
"index": 3863,
"question": "Consider a system of variables where each variable is defined as follows: v = n + 7; m = l + 9; d = y + 12; t = u + 15; y = m + 9; o = p + 3; l = v + 14; i = 17; s = t + 10; p = e + 11; n = i + 11; u = i + 9; e = s + 13. If i = 17, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"e": "s + 3", "w": "e + 4", "y": "w + 3", "z": "y + 3", "a": "z + 3", "l": "a + 5", "x": "s + 8", "i": "x + 19", "o": "i + 20", "f": "o + 18", "m": "f + 3", "p": "m + 19", "s": 16}, "premises": {"s": 16}, "target": "l"}, "answer": {"steps": [["a", "z + 3", "z + 8"], ["z", "y + 3", "y + 11"], ["y", "w + 3", "w + 14"], ["w", "e + 4", "e + 18"], ["e", "s + 3", "s + 21"], ["s", 16, "37"]], "target_var_name": "l", "target_value": 37, "value_dict": {"s": 16}, "is_reverse": true}}
| 3,864
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = s + 8; y = w + 3; e = s + 3; f = o + 18; s = 16; o = i + 20; z = y + 3; l = a + 5; m = f + 3; w = e + 4; p = m + 19; a = z + 3; i = x + 19. If s = 16, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 37,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 3 to l, which gives l = z + 8.\n2. Substitute z = y + 3 to l, which gives l = y + 11.\n3. Substitute y = w + 3 to l, which gives l = w + 14.\n4. Substitute w = e + 4 to l, which gives l = e + 18.\n5. Substitute e = s + 3 to l, which gives l = s + 21.\n6. Substitute s = 16 to l, which gives l = 37.\n\nThus, the final answer is l = \\boxed{37}.",
"index": 3864,
"question": "Consider a system of variables where each variable is defined as follows: x = s + 8; y = w + 3; e = s + 3; f = o + 18; s = 16; o = i + 20; z = y + 3; l = a + 5; m = f + 3; w = e + 4; p = m + 19; a = z + 3; i = x + 19. If s = 16, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"w": "i + 8", "s": "w + 14", "d": "s + 9", "q": "d + 9", "v": "q + 16", "k": "v + 19", "x": "i + 12", "o": "x + 12", "a": "o + 6", "p": "a + 9", "n": "p + 15", "m": "n + 17", "i": 17}, "premises": {"i": 17}, "target": "k"}, "answer": {"steps": [["v", "q + 16", "q + 35"], ["q", "d + 9", "d + 44"], ["d", "s + 9", "s + 53"], ["s", "w + 14", "w + 67"], ["w", "i + 8", "i + 75"], ["i", 17, "92"]], "target_var_name": "k", "target_value": 92, "value_dict": {"i": 17}, "is_reverse": true}}
| 3,865
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = w + 14; x = i + 12; a = o + 6; v = q + 16; w = i + 8; k = v + 19; o = x + 12; q = d + 9; m = n + 17; p = a + 9; n = p + 15; d = s + 9; i = 17. Given that i = 17, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 16 to k, which gives k = q + 35.\n2. Substitute q = d + 9 to k, which gives k = d + 44.\n3. Substitute d = s + 9 to k, which gives k = s + 53.\n4. Substitute s = w + 14 to k, which gives k = w + 67.\n5. Substitute w = i + 8 to k, which gives k = i + 75.\n6. Substitute i = 17 to k, which gives k = 92.\n\nThus, the final answer is k = \\boxed{92}.",
"index": 3865,
"question": "Suppose a collection of variables is related by the following definitions: s = w + 14; x = i + 12; a = o + 6; v = q + 16; w = i + 8; k = v + 19; o = x + 12; q = d + 9; m = n + 17; p = a + 9; n = p + 15; d = s + 9; i = 17. Given that i = 17, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"a": "j + 11", "n": "a + 3", "g": "n + 2", "u": "g + 10", "x": "u + 19", "s": "x + 4", "y": "j + 13", "d": "y + 16", "e": "d + 4", "q": "e + 9", "i": "q + 12", "p": "i + 3", "j": 5}, "premises": {"j": 5}, "target": "s"}, "answer": {"steps": [["x", "u + 19", "u + 23"], ["u", "g + 10", "g + 33"], ["g", "n + 2", "n + 35"], ["n", "a + 3", "a + 38"], ["a", "j + 11", "j + 49"], ["j", 5, "54"]], "target_var_name": "s", "target_value": 54, "value_dict": {"j": 5}, "is_reverse": true}}
| 3,866
| 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 = y + 16; j = 5; s = x + 4; u = g + 10; p = i + 3; n = a + 3; x = u + 19; e = d + 4; g = n + 2; a = j + 11; y = j + 13; q = e + 9; i = q + 12. If j = 5, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 19 to s, which gives s = u + 23.\n2. Substitute u = g + 10 to s, which gives s = g + 33.\n3. Substitute g = n + 2 to s, which gives s = n + 35.\n4. Substitute n = a + 3 to s, which gives s = a + 38.\n5. Substitute a = j + 11 to s, which gives s = j + 49.\n6. Substitute j = 5 to s, which gives s = 54.\n\nThus, the final answer is s = \\boxed{54}.",
"index": 3866,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = y + 16; j = 5; s = x + 4; u = g + 10; p = i + 3; n = a + 3; x = u + 19; e = d + 4; g = n + 2; a = j + 11; y = j + 13; q = e + 9; i = q + 12. If j = 5, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"p": "c + 5", "j": "p + 11", "k": "j + 18", "q": "k + 12", "u": "q + 1", "l": "u + 15", "v": "c + 12", "z": "v + 18", "a": "z + 13", "r": "a + 2", "x": "r + 2", "w": "x + 11", "c": 18}, "premises": {"c": 18}, "target": "l"}, "answer": {"steps": [["u", "q + 1", "q + 16"], ["q", "k + 12", "k + 28"], ["k", "j + 18", "j + 46"], ["j", "p + 11", "p + 57"], ["p", "c + 5", "c + 62"], ["c", 18, "80"]], "target_var_name": "l", "target_value": 80, "value_dict": {"c": 18}, "is_reverse": true}}
| 3,867
| 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 + 1; a = z + 13; k = j + 18; x = r + 2; l = u + 15; q = k + 12; z = v + 18; v = c + 12; j = p + 11; r = a + 2; w = x + 11; c = 18; p = c + 5. If c = 18, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 1 to l, which gives l = q + 16.\n2. Substitute q = k + 12 to l, which gives l = k + 28.\n3. Substitute k = j + 18 to l, which gives l = j + 46.\n4. Substitute j = p + 11 to l, which gives l = p + 57.\n5. Substitute p = c + 5 to l, which gives l = c + 62.\n6. Substitute c = 18 to l, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 3867,
"question": "Consider a system of variables where each variable is defined as follows: u = q + 1; a = z + 13; k = j + 18; x = r + 2; l = u + 15; q = k + 12; z = v + 18; v = c + 12; j = p + 11; r = a + 2; w = x + 11; c = 18; p = c + 5. If c = 18, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 1", "c": "m + 16", "b": "c + 5", "p": "b + 17", "i": "p + 10", "v": "i + 9", "y": "x + 3", "k": "y + 7", "o": "k + 20", "s": "o + 5", "d": "s + 18", "u": "d + 6", "x": 11}, "premises": {"x": 11}, "target": "v"}, "answer": {"steps": [["i", "p + 10", "p + 19"], ["p", "b + 17", "b + 36"], ["b", "c + 5", "c + 41"], ["c", "m + 16", "m + 57"], ["m", "x + 1", "x + 58"], ["x", 11, "69"]], "target_var_name": "v", "target_value": 69, "value_dict": {"x": 11}, "is_reverse": true}}
| 3,868
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = k + 20; m = x + 1; b = c + 5; s = o + 5; c = m + 16; y = x + 3; p = b + 17; d = s + 18; x = 11; k = y + 7; v = i + 9; i = p + 10; u = d + 6. Given that x = 11, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 10 to v, which gives v = p + 19.\n2. Substitute p = b + 17 to v, which gives v = b + 36.\n3. Substitute b = c + 5 to v, which gives v = c + 41.\n4. Substitute c = m + 16 to v, which gives v = m + 57.\n5. Substitute m = x + 1 to v, which gives v = x + 58.\n6. Substitute x = 11 to v, which gives v = 69.\n\nThus, the final answer is v = \\boxed{69}.",
"index": 3868,
"question": "Suppose a collection of variables is related by the following definitions: o = k + 20; m = x + 1; b = c + 5; s = o + 5; c = m + 16; y = x + 3; p = b + 17; d = s + 18; x = 11; k = y + 7; v = i + 9; i = p + 10; u = d + 6. Given that x = 11, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"u": "q + 15", "k": "u + 1", "r": "k + 17", "p": "r + 1", "l": "p + 2", "c": "l + 11", "o": "q + 14", "h": "o + 11", "d": "h + 8", "n": "d + 20", "z": "n + 10", "j": "z + 3", "q": 2}, "premises": {"q": 2}, "target": "c"}, "answer": {"steps": [["l", "p + 2", "p + 13"], ["p", "r + 1", "r + 14"], ["r", "k + 17", "k + 31"], ["k", "u + 1", "u + 32"], ["u", "q + 15", "q + 47"], ["q", 2, "49"]], "target_var_name": "c", "target_value": 49, "value_dict": {"q": 2}, "is_reverse": true}}
| 3,869
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = z + 3; d = h + 8; q = 2; n = d + 20; u = q + 15; p = r + 1; h = o + 11; o = q + 14; k = u + 1; l = p + 2; z = n + 10; r = k + 17; c = l + 11. If q = 2, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 2 to c, which gives c = p + 13.\n2. Substitute p = r + 1 to c, which gives c = r + 14.\n3. Substitute r = k + 17 to c, which gives c = k + 31.\n4. Substitute k = u + 1 to c, which gives c = u + 32.\n5. Substitute u = q + 15 to c, which gives c = q + 47.\n6. Substitute q = 2 to c, which gives c = 49.\n\nThus, the final answer is c = \\boxed{49}.",
"index": 3869,
"question": "Consider a system of variables where each variable is defined as follows: j = z + 3; d = h + 8; q = 2; n = d + 20; u = q + 15; p = r + 1; h = o + 11; o = q + 14; k = u + 1; l = p + 2; z = n + 10; r = k + 17; c = l + 11. If q = 2, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"x": "j + 16", "h": "x + 16", "b": "h + 9", "k": "b + 20", "m": "k + 4", "e": "m + 6", "y": "j + 3", "a": "y + 15", "r": "a + 9", "p": "r + 15", "f": "p + 19", "t": "f + 9", "j": 17}, "premises": {"j": 17}, "target": "e"}, "answer": {"steps": [["m", "k + 4", "k + 10"], ["k", "b + 20", "b + 30"], ["b", "h + 9", "h + 39"], ["h", "x + 16", "x + 55"], ["x", "j + 16", "j + 71"], ["j", 17, "88"]], "target_var_name": "e", "target_value": 88, "value_dict": {"j": 17}, "is_reverse": true}}
| 3,870
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = y + 15; m = k + 4; e = m + 6; f = p + 19; j = 17; h = x + 16; r = a + 9; y = j + 3; k = b + 20; p = r + 15; x = j + 16; b = h + 9; t = f + 9. If j = 17, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 4 to e, which gives e = k + 10.\n2. Substitute k = b + 20 to e, which gives e = b + 30.\n3. Substitute b = h + 9 to e, which gives e = h + 39.\n4. Substitute h = x + 16 to e, which gives e = x + 55.\n5. Substitute x = j + 16 to e, which gives e = j + 71.\n6. Substitute j = 17 to e, which gives e = 88.\n\nThus, the final answer is e = \\boxed{88}.",
"index": 3870,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = y + 15; m = k + 4; e = m + 6; f = p + 19; j = 17; h = x + 16; r = a + 9; y = j + 3; k = b + 20; p = r + 15; x = j + 16; b = h + 9; t = f + 9. If j = 17, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"o": "b + 3", "h": "o + 1", "k": "h + 11", "l": "k + 6", "c": "l + 12", "r": "c + 14", "n": "b + 18", "t": "n + 6", "m": "t + 2", "y": "m + 18", "p": "y + 10", "i": "p + 6", "b": 19}, "premises": {"b": 19}, "target": "r"}, "answer": {"steps": [["c", "l + 12", "l + 26"], ["l", "k + 6", "k + 32"], ["k", "h + 11", "h + 43"], ["h", "o + 1", "o + 44"], ["o", "b + 3", "b + 47"], ["b", 19, "66"]], "target_var_name": "r", "target_value": 66, "value_dict": {"b": 19}, "is_reverse": true}}
| 3,871
| 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 = k + 6; o = b + 3; p = y + 10; k = h + 11; t = n + 6; c = l + 12; h = o + 1; n = b + 18; b = 19; i = p + 6; y = m + 18; r = c + 14; m = t + 2. If b = 19, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 12 to r, which gives r = l + 26.\n2. Substitute l = k + 6 to r, which gives r = k + 32.\n3. Substitute k = h + 11 to r, which gives r = h + 43.\n4. Substitute h = o + 1 to r, which gives r = o + 44.\n5. Substitute o = b + 3 to r, which gives r = b + 47.\n6. Substitute b = 19 to r, which gives r = 66.\n\nThus, the final answer is r = \\boxed{66}.",
"index": 3871,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 6; o = b + 3; p = y + 10; k = h + 11; t = n + 6; c = l + 12; h = o + 1; n = b + 18; b = 19; i = p + 6; y = m + 18; r = c + 14; m = t + 2. If b = 19, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"k": "g + 16", "z": "k + 15", "o": "z + 7", "c": "o + 19", "r": "c + 10", "p": "r + 16", "v": "g + 9", "h": "v + 9", "f": "h + 1", "e": "f + 8", "u": "e + 20", "s": "u + 15", "g": 11}, "premises": {"g": 11}, "target": "p"}, "answer": {"steps": [["r", "c + 10", "c + 26"], ["c", "o + 19", "o + 45"], ["o", "z + 7", "z + 52"], ["z", "k + 15", "k + 67"], ["k", "g + 16", "g + 83"], ["g", 11, "94"]], "target_var_name": "p", "target_value": 94, "value_dict": {"g": 11}, "is_reverse": true}}
| 3,872
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = 11; o = z + 7; u = e + 20; r = c + 10; k = g + 16; h = v + 9; p = r + 16; c = o + 19; e = f + 8; v = g + 9; s = u + 15; z = k + 15; f = h + 1. If g = 11, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 10 to p, which gives p = c + 26.\n2. Substitute c = o + 19 to p, which gives p = o + 45.\n3. Substitute o = z + 7 to p, which gives p = z + 52.\n4. Substitute z = k + 15 to p, which gives p = k + 67.\n5. Substitute k = g + 16 to p, which gives p = g + 83.\n6. Substitute g = 11 to p, which gives p = 94.\n\nThus, the final answer is p = \\boxed{94}.",
"index": 3872,
"question": "Consider a system of variables where each variable is defined as follows: g = 11; o = z + 7; u = e + 20; r = c + 10; k = g + 16; h = v + 9; p = r + 16; c = o + 19; e = f + 8; v = g + 9; s = u + 15; z = k + 15; f = h + 1. If g = 11, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 8", "w": "n + 3", "o": "w + 6", "y": "o + 1", "h": "y + 1", "r": "h + 1", "x": "q + 12", "d": "x + 10", "j": "d + 18", "p": "j + 4", "f": "p + 3", "a": "f + 10", "q": 8}, "premises": {"q": 8}, "target": "r"}, "answer": {"steps": [["h", "y + 1", "y + 2"], ["y", "o + 1", "o + 3"], ["o", "w + 6", "w + 9"], ["w", "n + 3", "n + 12"], ["n", "q + 8", "q + 20"], ["q", 8, "28"]], "target_var_name": "r", "target_value": 28, "value_dict": {"q": 8}, "is_reverse": true}}
| 3,873
| 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 = q + 12; p = j + 4; y = o + 1; d = x + 10; r = h + 1; j = d + 18; a = f + 10; o = w + 6; f = p + 3; h = y + 1; q = 8; n = q + 8; w = n + 3. If q = 8, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 28,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 1 to r, which gives r = y + 2.\n2. Substitute y = o + 1 to r, which gives r = o + 3.\n3. Substitute o = w + 6 to r, which gives r = w + 9.\n4. Substitute w = n + 3 to r, which gives r = n + 12.\n5. Substitute n = q + 8 to r, which gives r = q + 20.\n6. Substitute q = 8 to r, which gives r = 28.\n\nThus, the final answer is r = \\boxed{28}.",
"index": 3873,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = q + 12; p = j + 4; y = o + 1; d = x + 10; r = h + 1; j = d + 18; a = f + 10; o = w + 6; f = p + 3; h = y + 1; q = 8; n = q + 8; w = n + 3. If q = 8, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"t": "p + 2", "x": "t + 1", "n": "x + 11", "h": "n + 3", "b": "h + 11", "l": "b + 15", "o": "p + 20", "y": "o + 4", "u": "y + 7", "a": "u + 3", "w": "a + 7", "c": "w + 6", "p": 9}, "premises": {"p": 9}, "target": "l"}, "answer": {"steps": [["b", "h + 11", "h + 26"], ["h", "n + 3", "n + 29"], ["n", "x + 11", "x + 40"], ["x", "t + 1", "t + 41"], ["t", "p + 2", "p + 43"], ["p", 9, "52"]], "target_var_name": "l", "target_value": 52, "value_dict": {"p": 9}, "is_reverse": true}}
| 3,874
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = p + 20; b = h + 11; p = 9; y = o + 4; c = w + 6; l = b + 15; x = t + 1; a = u + 3; u = y + 7; h = n + 3; n = x + 11; w = a + 7; t = p + 2. If p = 9, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 11 to l, which gives l = h + 26.\n2. Substitute h = n + 3 to l, which gives l = n + 29.\n3. Substitute n = x + 11 to l, which gives l = x + 40.\n4. Substitute x = t + 1 to l, which gives l = t + 41.\n5. Substitute t = p + 2 to l, which gives l = p + 43.\n6. Substitute p = 9 to l, which gives l = 52.\n\nThus, the final answer is l = \\boxed{52}.",
"index": 3874,
"question": "Consider a system of variables where each variable is defined as follows: o = p + 20; b = h + 11; p = 9; y = o + 4; c = w + 6; l = b + 15; x = t + 1; a = u + 3; u = y + 7; h = n + 3; n = x + 11; w = a + 7; t = p + 2. If p = 9, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"v": "p + 14", "t": "v + 4", "m": "t + 6", "l": "m + 19", "y": "l + 7", "z": "y + 19", "e": "p + 5", "u": "e + 13", "r": "u + 16", "j": "r + 19", "g": "j + 12", "c": "g + 20", "p": 1}, "premises": {"p": 1}, "target": "z"}, "answer": {"steps": [["y", "l + 7", "l + 26"], ["l", "m + 19", "m + 45"], ["m", "t + 6", "t + 51"], ["t", "v + 4", "v + 55"], ["v", "p + 14", "p + 69"], ["p", 1, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"p": 1}, "is_reverse": true}}
| 3,875
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = p + 5; g = j + 12; c = g + 20; p = 1; r = u + 16; z = y + 19; u = e + 13; m = t + 6; j = r + 19; v = p + 14; l = m + 19; y = l + 7; t = v + 4. Given that p = 1, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 7 to z, which gives z = l + 26.\n2. Substitute l = m + 19 to z, which gives z = m + 45.\n3. Substitute m = t + 6 to z, which gives z = t + 51.\n4. Substitute t = v + 4 to z, which gives z = v + 55.\n5. Substitute v = p + 14 to z, which gives z = p + 69.\n6. Substitute p = 1 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 3875,
"question": "Suppose a collection of variables is related by the following definitions: e = p + 5; g = j + 12; c = g + 20; p = 1; r = u + 16; z = y + 19; u = e + 13; m = t + 6; j = r + 19; v = p + 14; l = m + 19; y = l + 7; t = v + 4. Given that p = 1, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"e": "r + 5", "b": "e + 3", "x": "b + 12", "t": "x + 14", "m": "t + 19", "l": "m + 11", "a": "r + 9", "f": "a + 18", "i": "f + 11", "q": "i + 11", "p": "q + 12", "c": "p + 5", "r": 7}, "premises": {"r": 7}, "target": "l"}, "answer": {"steps": [["m", "t + 19", "t + 30"], ["t", "x + 14", "x + 44"], ["x", "b + 12", "b + 56"], ["b", "e + 3", "e + 59"], ["e", "r + 5", "r + 64"], ["r", 7, "71"]], "target_var_name": "l", "target_value": 71, "value_dict": {"r": 7}, "is_reverse": true}}
| 3,876
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = a + 18; x = b + 12; q = i + 11; b = e + 3; r = 7; c = p + 5; l = m + 11; e = r + 5; t = x + 14; p = q + 12; a = r + 9; i = f + 11; m = t + 19. If r = 7, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 19 to l, which gives l = t + 30.\n2. Substitute t = x + 14 to l, which gives l = x + 44.\n3. Substitute x = b + 12 to l, which gives l = b + 56.\n4. Substitute b = e + 3 to l, which gives l = e + 59.\n5. Substitute e = r + 5 to l, which gives l = r + 64.\n6. Substitute r = 7 to l, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 3876,
"question": "Consider a system of variables where each variable is defined as follows: f = a + 18; x = b + 12; q = i + 11; b = e + 3; r = 7; c = p + 5; l = m + 11; e = r + 5; t = x + 14; p = q + 12; a = r + 9; i = f + 11; m = t + 19. If r = 7, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"o": "y + 10", "b": "o + 3", "s": "b + 4", "z": "s + 14", "v": "z + 6", "t": "v + 17", "n": "y + 5", "g": "n + 15", "w": "g + 8", "h": "w + 17", "l": "h + 4", "r": "l + 20", "y": 18}, "premises": {"y": 18}, "target": "t"}, "answer": {"steps": [["v", "z + 6", "z + 23"], ["z", "s + 14", "s + 37"], ["s", "b + 4", "b + 41"], ["b", "o + 3", "o + 44"], ["o", "y + 10", "y + 54"], ["y", 18, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"y": 18}, "is_reverse": true}}
| 3,877
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 17; z = s + 14; s = b + 4; n = y + 5; b = o + 3; t = v + 17; l = h + 4; o = y + 10; r = l + 20; g = n + 15; v = z + 6; y = 18; w = g + 8. If y = 18, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 6 to t, which gives t = z + 23.\n2. Substitute z = s + 14 to t, which gives t = s + 37.\n3. Substitute s = b + 4 to t, which gives t = b + 41.\n4. Substitute b = o + 3 to t, which gives t = o + 44.\n5. Substitute o = y + 10 to t, which gives t = y + 54.\n6. Substitute y = 18 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 3877,
"question": "Consider a system of variables where each variable is defined as follows: h = w + 17; z = s + 14; s = b + 4; n = y + 5; b = o + 3; t = v + 17; l = h + 4; o = y + 10; r = l + 20; g = n + 15; v = z + 6; y = 18; w = g + 8. If y = 18, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"m": "k + 9", "b": "m + 16", "l": "b + 7", "z": "l + 15", "d": "z + 19", "g": "d + 13", "h": "k + 6", "t": "h + 12", "p": "t + 7", "r": "p + 8", "c": "r + 15", "v": "c + 2", "k": 17}, "premises": {"k": 17}, "target": "g"}, "answer": {"steps": [["d", "z + 19", "z + 32"], ["z", "l + 15", "l + 47"], ["l", "b + 7", "b + 54"], ["b", "m + 16", "m + 70"], ["m", "k + 9", "k + 79"], ["k", 17, "96"]], "target_var_name": "g", "target_value": 96, "value_dict": {"k": 17}, "is_reverse": true}}
| 3,878
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = k + 9; d = z + 19; v = c + 2; t = h + 12; h = k + 6; g = d + 13; b = m + 16; c = r + 15; z = l + 15; l = b + 7; k = 17; p = t + 7; r = p + 8. If k = 17, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 19 to g, which gives g = z + 32.\n2. Substitute z = l + 15 to g, which gives g = l + 47.\n3. Substitute l = b + 7 to g, which gives g = b + 54.\n4. Substitute b = m + 16 to g, which gives g = m + 70.\n5. Substitute m = k + 9 to g, which gives g = k + 79.\n6. Substitute k = 17 to g, which gives g = 96.\n\nThus, the final answer is g = \\boxed{96}.",
"index": 3878,
"question": "Consider a system of variables where each variable is defined as follows: m = k + 9; d = z + 19; v = c + 2; t = h + 12; h = k + 6; g = d + 13; b = m + 16; c = r + 15; z = l + 15; l = b + 7; k = 17; p = t + 7; r = p + 8. If k = 17, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"j": "e + 14", "s": "j + 13", "a": "s + 19", "p": "a + 2", "z": "p + 8", "u": "z + 16", "k": "e + 6", "b": "k + 20", "g": "b + 16", "n": "g + 4", "v": "n + 10", "q": "v + 17", "e": 3}, "premises": {"e": 3}, "target": "u"}, "answer": {"steps": [["z", "p + 8", "p + 24"], ["p", "a + 2", "a + 26"], ["a", "s + 19", "s + 45"], ["s", "j + 13", "j + 58"], ["j", "e + 14", "e + 72"], ["e", 3, "75"]], "target_var_name": "u", "target_value": 75, "value_dict": {"e": 3}, "is_reverse": true}}
| 3,879
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = e + 14; v = n + 10; u = z + 16; b = k + 20; s = j + 13; e = 3; a = s + 19; n = g + 4; z = p + 8; g = b + 16; k = e + 6; p = a + 2; q = v + 17. If e = 3, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 8 to u, which gives u = p + 24.\n2. Substitute p = a + 2 to u, which gives u = a + 26.\n3. Substitute a = s + 19 to u, which gives u = s + 45.\n4. Substitute s = j + 13 to u, which gives u = j + 58.\n5. Substitute j = e + 14 to u, which gives u = e + 72.\n6. Substitute e = 3 to u, which gives u = 75.\n\nThus, the final answer is u = \\boxed{75}.",
"index": 3879,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = e + 14; v = n + 10; u = z + 16; b = k + 20; s = j + 13; e = 3; a = s + 19; n = g + 4; z = p + 8; g = b + 16; k = e + 6; p = a + 2; q = v + 17. If e = 3, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"v": "d + 13", "b": "v + 11", "w": "b + 4", "j": "w + 1", "e": "j + 12", "s": "e + 17", "n": "d + 19", "t": "n + 2", "f": "t + 12", "g": "f + 2", "a": "g + 16", "q": "a + 16", "d": 19}, "premises": {"d": 19}, "target": "s"}, "answer": {"steps": [["e", "j + 12", "j + 29"], ["j", "w + 1", "w + 30"], ["w", "b + 4", "b + 34"], ["b", "v + 11", "v + 45"], ["v", "d + 13", "d + 58"], ["d", 19, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"d": 19}, "is_reverse": true}}
| 3,880
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = v + 11; v = d + 13; g = f + 2; f = t + 12; j = w + 1; s = e + 17; q = a + 16; t = n + 2; d = 19; w = b + 4; e = j + 12; n = d + 19; a = g + 16. Given that d = 19, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 12 to s, which gives s = j + 29.\n2. Substitute j = w + 1 to s, which gives s = w + 30.\n3. Substitute w = b + 4 to s, which gives s = b + 34.\n4. Substitute b = v + 11 to s, which gives s = v + 45.\n5. Substitute v = d + 13 to s, which gives s = d + 58.\n6. Substitute d = 19 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 3880,
"question": "Suppose a collection of variables is related by the following definitions: b = v + 11; v = d + 13; g = f + 2; f = t + 12; j = w + 1; s = e + 17; q = a + 16; t = n + 2; d = 19; w = b + 4; e = j + 12; n = d + 19; a = g + 16. Given that d = 19, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"o": "q + 11", "g": "o + 14", "m": "g + 1", "x": "m + 19", "b": "x + 19", "i": "b + 20", "v": "q + 5", "e": "v + 4", "z": "e + 6", "a": "z + 5", "h": "a + 17", "l": "h + 4", "q": 10}, "premises": {"q": 10}, "target": "i"}, "answer": {"steps": [["b", "x + 19", "x + 39"], ["x", "m + 19", "m + 58"], ["m", "g + 1", "g + 59"], ["g", "o + 14", "o + 73"], ["o", "q + 11", "q + 84"], ["q", 10, "94"]], "target_var_name": "i", "target_value": 94, "value_dict": {"q": 10}, "is_reverse": true}}
| 3,881
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = z + 5; h = a + 17; q = 10; x = m + 19; e = v + 4; m = g + 1; l = h + 4; g = o + 14; z = e + 6; o = q + 11; b = x + 19; i = b + 20; v = q + 5. Given that q = 10, find the 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 b = x + 19 to i, which gives i = x + 39.\n2. Substitute x = m + 19 to i, which gives i = m + 58.\n3. Substitute m = g + 1 to i, which gives i = g + 59.\n4. Substitute g = o + 14 to i, which gives i = o + 73.\n5. Substitute o = q + 11 to i, which gives i = q + 84.\n6. Substitute q = 10 to i, which gives i = 94.\n\nThus, the final answer is i = \\boxed{94}.",
"index": 3881,
"question": "Suppose a collection of variables is related by the following definitions: a = z + 5; h = a + 17; q = 10; x = m + 19; e = v + 4; m = g + 1; l = h + 4; g = o + 14; z = e + 6; o = q + 11; b = x + 19; i = b + 20; v = q + 5. Given that q = 10, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"f": "u + 13", "c": "f + 6", "b": "c + 15", "y": "b + 13", "i": "y + 19", "v": "i + 19", "g": "u + 10", "e": "g + 13", "q": "e + 6", "l": "q + 15", "s": "l + 16", "p": "s + 9", "u": 19}, "premises": {"u": 19}, "target": "v"}, "answer": {"steps": [["i", "y + 19", "y + 38"], ["y", "b + 13", "b + 51"], ["b", "c + 15", "c + 66"], ["c", "f + 6", "f + 72"], ["f", "u + 13", "u + 85"], ["u", 19, "104"]], "target_var_name": "v", "target_value": 104, "value_dict": {"u": 19}, "is_reverse": true}}
| 3,882
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = u + 13; q = e + 6; v = i + 19; i = y + 19; p = s + 9; g = u + 10; l = q + 15; y = b + 13; e = g + 13; u = 19; c = f + 6; b = c + 15; s = l + 16. If u = 19, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 19 to v, which gives v = y + 38.\n2. Substitute y = b + 13 to v, which gives v = b + 51.\n3. Substitute b = c + 15 to v, which gives v = c + 66.\n4. Substitute c = f + 6 to v, which gives v = f + 72.\n5. Substitute f = u + 13 to v, which gives v = u + 85.\n6. Substitute u = 19 to v, which gives v = 104.\n\nThus, the final answer is v = \\boxed{104}.",
"index": 3882,
"question": "Consider a system of variables where each variable is defined as follows: f = u + 13; q = e + 6; v = i + 19; i = y + 19; p = s + 9; g = u + 10; l = q + 15; y = b + 13; e = g + 13; u = 19; c = f + 6; b = c + 15; s = l + 16. If u = 19, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"k": "n + 12", "p": "k + 13", "q": "p + 20", "a": "q + 5", "w": "a + 11", "r": "w + 11", "j": "n + 19", "i": "j + 13", "o": "i + 5", "t": "o + 20", "u": "t + 10", "g": "u + 18", "n": 17}, "premises": {"n": 17}, "target": "r"}, "answer": {"steps": [["w", "a + 11", "a + 22"], ["a", "q + 5", "q + 27"], ["q", "p + 20", "p + 47"], ["p", "k + 13", "k + 60"], ["k", "n + 12", "n + 72"], ["n", 17, "89"]], "target_var_name": "r", "target_value": 89, "value_dict": {"n": 17}, "is_reverse": true}}
| 3,883
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = i + 5; j = n + 19; i = j + 13; t = o + 20; n = 17; g = u + 18; u = t + 10; r = w + 11; p = k + 13; a = q + 5; k = n + 12; w = a + 11; q = p + 20. If n = 17, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 11 to r, which gives r = a + 22.\n2. Substitute a = q + 5 to r, which gives r = q + 27.\n3. Substitute q = p + 20 to r, which gives r = p + 47.\n4. Substitute p = k + 13 to r, which gives r = k + 60.\n5. Substitute k = n + 12 to r, which gives r = n + 72.\n6. Substitute n = 17 to r, which gives r = 89.\n\nThus, the final answer is r = \\boxed{89}.",
"index": 3883,
"question": "Consider a system of variables where each variable is defined as follows: o = i + 5; j = n + 19; i = j + 13; t = o + 20; n = 17; g = u + 18; u = t + 10; r = w + 11; p = k + 13; a = q + 5; k = n + 12; w = a + 11; q = p + 20. If n = 17, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"m": "l + 4", "x": "m + 18", "k": "x + 15", "h": "k + 17", "o": "h + 2", "n": "o + 3", "e": "l + 15", "j": "e + 13", "v": "j + 6", "c": "v + 10", "p": "c + 6", "s": "p + 7", "l": 18}, "premises": {"l": 18}, "target": "n"}, "answer": {"steps": [["o", "h + 2", "h + 5"], ["h", "k + 17", "k + 22"], ["k", "x + 15", "x + 37"], ["x", "m + 18", "m + 55"], ["m", "l + 4", "l + 59"], ["l", 18, "77"]], "target_var_name": "n", "target_value": 77, "value_dict": {"l": 18}, "is_reverse": true}}
| 3,884
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = j + 6; c = v + 10; m = l + 4; k = x + 15; h = k + 17; n = o + 3; l = 18; o = h + 2; x = m + 18; p = c + 6; j = e + 13; e = l + 15; s = p + 7. Given that l = 18, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 2 to n, which gives n = h + 5.\n2. Substitute h = k + 17 to n, which gives n = k + 22.\n3. Substitute k = x + 15 to n, which gives n = x + 37.\n4. Substitute x = m + 18 to n, which gives n = m + 55.\n5. Substitute m = l + 4 to n, which gives n = l + 59.\n6. Substitute l = 18 to n, which gives n = 77.\n\nThus, the final answer is n = \\boxed{77}.",
"index": 3884,
"question": "Suppose a collection of variables is related by the following definitions: v = j + 6; c = v + 10; m = l + 4; k = x + 15; h = k + 17; n = o + 3; l = 18; o = h + 2; x = m + 18; p = c + 6; j = e + 13; e = l + 15; s = p + 7. Given that l = 18, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"n": "p + 6", "a": "n + 16", "h": "a + 10", "e": "h + 9", "r": "e + 8", "s": "r + 19", "t": "p + 16", "b": "t + 15", "o": "b + 7", "w": "o + 6", "f": "w + 16", "v": "f + 14", "p": 2}, "premises": {"p": 2}, "target": "s"}, "answer": {"steps": [["r", "e + 8", "e + 27"], ["e", "h + 9", "h + 36"], ["h", "a + 10", "a + 46"], ["a", "n + 16", "n + 62"], ["n", "p + 6", "p + 68"], ["p", 2, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"p": 2}, "is_reverse": true}}
| 3,885
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = r + 19; a = n + 16; v = f + 14; f = w + 16; e = h + 9; b = t + 15; n = p + 6; t = p + 16; h = a + 10; p = 2; o = b + 7; w = o + 6; r = e + 8. If p = 2, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 8 to s, which gives s = e + 27.\n2. Substitute e = h + 9 to s, which gives s = h + 36.\n3. Substitute h = a + 10 to s, which gives s = a + 46.\n4. Substitute a = n + 16 to s, which gives s = n + 62.\n5. Substitute n = p + 6 to s, which gives s = p + 68.\n6. Substitute p = 2 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 3885,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = r + 19; a = n + 16; v = f + 14; f = w + 16; e = h + 9; b = t + 15; n = p + 6; t = p + 16; h = a + 10; p = 2; o = b + 7; w = o + 6; r = e + 8. If p = 2, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"l": "h + 17", "m": "l + 12", "t": "m + 2", "y": "t + 19", "z": "y + 6", "e": "z + 11", "k": "h + 16", "b": "k + 5", "v": "b + 4", "o": "v + 18", "x": "o + 10", "w": "x + 8", "h": 12}, "premises": {"h": 12}, "target": "e"}, "answer": {"steps": [["z", "y + 6", "y + 17"], ["y", "t + 19", "t + 36"], ["t", "m + 2", "m + 38"], ["m", "l + 12", "l + 50"], ["l", "h + 17", "h + 67"], ["h", 12, "79"]], "target_var_name": "e", "target_value": 79, "value_dict": {"h": 12}, "is_reverse": true}}
| 3,886
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 11; m = l + 12; t = m + 2; o = v + 18; v = b + 4; b = k + 5; x = o + 10; y = t + 19; l = h + 17; z = y + 6; k = h + 16; h = 12; w = x + 8. If h = 12, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 6 to e, which gives e = y + 17.\n2. Substitute y = t + 19 to e, which gives e = t + 36.\n3. Substitute t = m + 2 to e, which gives e = m + 38.\n4. Substitute m = l + 12 to e, which gives e = l + 50.\n5. Substitute l = h + 17 to e, which gives e = h + 67.\n6. Substitute h = 12 to e, which gives e = 79.\n\nThus, the final answer is e = \\boxed{79}.",
"index": 3886,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 11; m = l + 12; t = m + 2; o = v + 18; v = b + 4; b = k + 5; x = o + 10; y = t + 19; l = h + 17; z = y + 6; k = h + 16; h = 12; w = x + 8. If h = 12, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"f": "d + 2", "h": "f + 18", "n": "h + 15", "c": "n + 18", "l": "c + 12", "s": "l + 5", "k": "d + 18", "i": "k + 3", "w": "i + 18", "u": "w + 3", "x": "u + 4", "e": "x + 17", "d": 11}, "premises": {"d": 11}, "target": "s"}, "answer": {"steps": [["l", "c + 12", "c + 17"], ["c", "n + 18", "n + 35"], ["n", "h + 15", "h + 50"], ["h", "f + 18", "f + 68"], ["f", "d + 2", "d + 70"], ["d", 11, "81"]], "target_var_name": "s", "target_value": 81, "value_dict": {"d": 11}, "is_reverse": true}}
| 3,887
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = k + 3; n = h + 15; x = u + 4; k = d + 18; d = 11; l = c + 12; c = n + 18; s = l + 5; w = i + 18; h = f + 18; f = d + 2; e = x + 17; u = w + 3. Given that d = 11, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 12 to s, which gives s = c + 17.\n2. Substitute c = n + 18 to s, which gives s = n + 35.\n3. Substitute n = h + 15 to s, which gives s = h + 50.\n4. Substitute h = f + 18 to s, which gives s = f + 68.\n5. Substitute f = d + 2 to s, which gives s = d + 70.\n6. Substitute d = 11 to s, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 3887,
"question": "Suppose a collection of variables is related by the following definitions: i = k + 3; n = h + 15; x = u + 4; k = d + 18; d = 11; l = c + 12; c = n + 18; s = l + 5; w = i + 18; h = f + 18; f = d + 2; e = x + 17; u = w + 3. Given that d = 11, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"p": "r + 13", "w": "p + 8", "m": "w + 10", "n": "m + 20", "j": "n + 11", "v": "j + 20", "x": "r + 6", "z": "x + 8", "b": "z + 17", "i": "b + 2", "h": "i + 8", "o": "h + 3", "r": 19}, "premises": {"r": 19}, "target": "v"}, "answer": {"steps": [["j", "n + 11", "n + 31"], ["n", "m + 20", "m + 51"], ["m", "w + 10", "w + 61"], ["w", "p + 8", "p + 69"], ["p", "r + 13", "r + 82"], ["r", 19, "101"]], "target_var_name": "v", "target_value": 101, "value_dict": {"r": 19}, "is_reverse": true}}
| 3,888
| 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 = x + 8; w = p + 8; o = h + 3; v = j + 20; m = w + 10; x = r + 6; r = 19; b = z + 17; j = n + 11; p = r + 13; n = m + 20; i = b + 2; h = i + 8. If r = 19, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 11 to v, which gives v = n + 31.\n2. Substitute n = m + 20 to v, which gives v = m + 51.\n3. Substitute m = w + 10 to v, which gives v = w + 61.\n4. Substitute w = p + 8 to v, which gives v = p + 69.\n5. Substitute p = r + 13 to v, which gives v = r + 82.\n6. Substitute r = 19 to v, which gives v = 101.\n\nThus, the final answer is v = \\boxed{101}.",
"index": 3888,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = x + 8; w = p + 8; o = h + 3; v = j + 20; m = w + 10; x = r + 6; r = 19; b = z + 17; j = n + 11; p = r + 13; n = m + 20; i = b + 2; h = i + 8. If r = 19, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"w": "u + 13", "c": "w + 11", "x": "c + 2", "g": "x + 7", "d": "g + 17", "t": "d + 7", "p": "u + 12", "f": "p + 20", "v": "f + 18", "j": "v + 11", "s": "j + 17", "k": "s + 11", "u": 10}, "premises": {"u": 10}, "target": "t"}, "answer": {"steps": [["d", "g + 17", "g + 24"], ["g", "x + 7", "x + 31"], ["x", "c + 2", "c + 33"], ["c", "w + 11", "w + 44"], ["w", "u + 13", "u + 57"], ["u", 10, "67"]], "target_var_name": "t", "target_value": 67, "value_dict": {"u": 10}, "is_reverse": true}}
| 3,889
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = w + 11; v = f + 18; j = v + 11; d = g + 17; x = c + 2; g = x + 7; u = 10; p = u + 12; w = u + 13; t = d + 7; f = p + 20; s = j + 17; k = s + 11. If u = 10, 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 d = g + 17 to t, which gives t = g + 24.\n2. Substitute g = x + 7 to t, which gives t = x + 31.\n3. Substitute x = c + 2 to t, which gives t = c + 33.\n4. Substitute c = w + 11 to t, which gives t = w + 44.\n5. Substitute w = u + 13 to t, which gives t = u + 57.\n6. Substitute u = 10 to t, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 3889,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = w + 11; v = f + 18; j = v + 11; d = g + 17; x = c + 2; g = x + 7; u = 10; p = u + 12; w = u + 13; t = d + 7; f = p + 20; s = j + 17; k = s + 11. If u = 10, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"o": "n + 17", "p": "o + 14", "i": "p + 9", "l": "i + 5", "x": "l + 12", "q": "x + 16", "j": "n + 2", "g": "j + 15", "c": "g + 17", "h": "c + 5", "t": "h + 19", "r": "t + 7", "n": 4}, "premises": {"n": 4}, "target": "q"}, "answer": {"steps": [["x", "l + 12", "l + 28"], ["l", "i + 5", "i + 33"], ["i", "p + 9", "p + 42"], ["p", "o + 14", "o + 56"], ["o", "n + 17", "n + 73"], ["n", 4, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"n": 4}, "is_reverse": true}}
| 3,890
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 2; o = n + 17; p = o + 14; l = i + 5; c = g + 17; g = j + 15; i = p + 9; h = c + 5; q = x + 16; t = h + 19; x = l + 12; r = t + 7; n = 4. If n = 4, what is the resulting 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 x = l + 12 to q, which gives q = l + 28.\n2. Substitute l = i + 5 to q, which gives q = i + 33.\n3. Substitute i = p + 9 to q, which gives q = p + 42.\n4. Substitute p = o + 14 to q, which gives q = o + 56.\n5. Substitute o = n + 17 to q, which gives q = n + 73.\n6. Substitute n = 4 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 3890,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 2; o = n + 17; p = o + 14; l = i + 5; c = g + 17; g = j + 15; i = p + 9; h = c + 5; q = x + 16; t = h + 19; x = l + 12; r = t + 7; n = 4. If n = 4, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"z": "l + 8", "a": "z + 1", "o": "a + 5", "t": "o + 15", "g": "t + 13", "p": "g + 12", "x": "l + 13", "f": "x + 14", "j": "f + 4", "h": "j + 19", "u": "h + 9", "r": "u + 19", "l": 12}, "premises": {"l": 12}, "target": "p"}, "answer": {"steps": [["g", "t + 13", "t + 25"], ["t", "o + 15", "o + 40"], ["o", "a + 5", "a + 45"], ["a", "z + 1", "z + 46"], ["z", "l + 8", "l + 54"], ["l", 12, "66"]], "target_var_name": "p", "target_value": 66, "value_dict": {"l": 12}, "is_reverse": true}}
| 3,891
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = h + 9; h = j + 19; o = a + 5; a = z + 1; r = u + 19; j = f + 4; p = g + 12; t = o + 15; g = t + 13; x = l + 13; f = x + 14; l = 12; z = l + 8. Given that l = 12, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 13 to p, which gives p = t + 25.\n2. Substitute t = o + 15 to p, which gives p = o + 40.\n3. Substitute o = a + 5 to p, which gives p = a + 45.\n4. Substitute a = z + 1 to p, which gives p = z + 46.\n5. Substitute z = l + 8 to p, which gives p = l + 54.\n6. Substitute l = 12 to p, which gives p = 66.\n\nThus, the final answer is p = \\boxed{66}.",
"index": 3891,
"question": "Suppose a collection of variables is related by the following definitions: u = h + 9; h = j + 19; o = a + 5; a = z + 1; r = u + 19; j = f + 4; p = g + 12; t = o + 15; g = t + 13; x = l + 13; f = x + 14; l = 12; z = l + 8. Given that l = 12, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"f": "z + 8", "j": "f + 3", "w": "j + 9", "q": "w + 12", "u": "q + 14", "d": "u + 12", "l": "z + 2", "v": "l + 9", "h": "v + 4", "o": "h + 17", "p": "o + 9", "b": "p + 3", "z": 12}, "premises": {"z": 12}, "target": "d"}, "answer": {"steps": [["u", "q + 14", "q + 26"], ["q", "w + 12", "w + 38"], ["w", "j + 9", "j + 47"], ["j", "f + 3", "f + 50"], ["f", "z + 8", "z + 58"], ["z", 12, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"z": 12}, "is_reverse": true}}
| 3,892
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = j + 9; h = v + 4; q = w + 12; l = z + 2; j = f + 3; u = q + 14; p = o + 9; o = h + 17; d = u + 12; f = z + 8; v = l + 9; z = 12; b = p + 3. Given that z = 12, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 14 to d, which gives d = q + 26.\n2. Substitute q = w + 12 to d, which gives d = w + 38.\n3. Substitute w = j + 9 to d, which gives d = j + 47.\n4. Substitute j = f + 3 to d, which gives d = f + 50.\n5. Substitute f = z + 8 to d, which gives d = z + 58.\n6. Substitute z = 12 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 3892,
"question": "Suppose a collection of variables is related by the following definitions: w = j + 9; h = v + 4; q = w + 12; l = z + 2; j = f + 3; u = q + 14; p = o + 9; o = h + 17; d = u + 12; f = z + 8; v = l + 9; z = 12; b = p + 3. Given that z = 12, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"w": "s + 10", "v": "w + 12", "z": "v + 17", "b": "z + 11", "g": "b + 14", "e": "g + 3", "l": "s + 4", "q": "l + 13", "m": "q + 6", "n": "m + 12", "f": "n + 15", "c": "f + 7", "s": 20}, "premises": {"s": 20}, "target": "e"}, "answer": {"steps": [["g", "b + 14", "b + 17"], ["b", "z + 11", "z + 28"], ["z", "v + 17", "v + 45"], ["v", "w + 12", "w + 57"], ["w", "s + 10", "s + 67"], ["s", 20, "87"]], "target_var_name": "e", "target_value": 87, "value_dict": {"s": 20}, "is_reverse": true}}
| 3,893
| 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 = s + 10; z = v + 17; v = w + 12; c = f + 7; l = s + 4; n = m + 12; e = g + 3; b = z + 11; g = b + 14; q = l + 13; s = 20; f = n + 15; m = q + 6. If s = 20, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 14 to e, which gives e = b + 17.\n2. Substitute b = z + 11 to e, which gives e = z + 28.\n3. Substitute z = v + 17 to e, which gives e = v + 45.\n4. Substitute v = w + 12 to e, which gives e = w + 57.\n5. Substitute w = s + 10 to e, which gives e = s + 67.\n6. Substitute s = 20 to e, which gives e = 87.\n\nThus, the final answer is e = \\boxed{87}.",
"index": 3893,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = s + 10; z = v + 17; v = w + 12; c = f + 7; l = s + 4; n = m + 12; e = g + 3; b = z + 11; g = b + 14; q = l + 13; s = 20; f = n + 15; m = q + 6. If s = 20, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"j": "d + 4", "c": "j + 10", "s": "c + 6", "z": "s + 3", "e": "z + 14", "m": "e + 12", "q": "d + 5", "h": "q + 20", "l": "h + 9", "g": "l + 7", "n": "g + 18", "a": "n + 13", "d": 11}, "premises": {"d": 11}, "target": "m"}, "answer": {"steps": [["e", "z + 14", "z + 26"], ["z", "s + 3", "s + 29"], ["s", "c + 6", "c + 35"], ["c", "j + 10", "j + 45"], ["j", "d + 4", "d + 49"], ["d", 11, "60"]], "target_var_name": "m", "target_value": 60, "value_dict": {"d": 11}, "is_reverse": true}}
| 3,894
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = e + 12; a = n + 13; e = z + 14; l = h + 9; s = c + 6; g = l + 7; j = d + 4; c = j + 10; h = q + 20; d = 11; z = s + 3; n = g + 18; q = d + 5. Given that d = 11, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 14 to m, which gives m = z + 26.\n2. Substitute z = s + 3 to m, which gives m = s + 29.\n3. Substitute s = c + 6 to m, which gives m = c + 35.\n4. Substitute c = j + 10 to m, which gives m = j + 45.\n5. Substitute j = d + 4 to m, which gives m = d + 49.\n6. Substitute d = 11 to m, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 3894,
"question": "Suppose a collection of variables is related by the following definitions: m = e + 12; a = n + 13; e = z + 14; l = h + 9; s = c + 6; g = l + 7; j = d + 4; c = j + 10; h = q + 20; d = 11; z = s + 3; n = g + 18; q = d + 5. Given that d = 11, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"w": "r + 10", "s": "w + 5", "d": "s + 17", "z": "d + 4", "f": "z + 1", "l": "f + 1", "n": "r + 4", "c": "n + 2", "p": "c + 19", "u": "p + 1", "h": "u + 14", "i": "h + 8", "r": 5}, "premises": {"r": 5}, "target": "l"}, "answer": {"steps": [["f", "z + 1", "z + 2"], ["z", "d + 4", "d + 6"], ["d", "s + 17", "s + 23"], ["s", "w + 5", "w + 28"], ["w", "r + 10", "r + 38"], ["r", 5, "43"]], "target_var_name": "l", "target_value": 43, "value_dict": {"r": 5}, "is_reverse": true}}
| 3,895
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = c + 19; n = r + 4; c = n + 2; h = u + 14; w = r + 10; i = h + 8; u = p + 1; f = z + 1; r = 5; z = d + 4; s = w + 5; l = f + 1; d = s + 17. If r = 5, determine the 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 f = z + 1 to l, which gives l = z + 2.\n2. Substitute z = d + 4 to l, which gives l = d + 6.\n3. Substitute d = s + 17 to l, which gives l = s + 23.\n4. Substitute s = w + 5 to l, which gives l = w + 28.\n5. Substitute w = r + 10 to l, which gives l = r + 38.\n6. Substitute r = 5 to l, which gives l = 43.\n\nThus, the final answer is l = \\boxed{43}.",
"index": 3895,
"question": "Consider a system of variables where each variable is defined as follows: p = c + 19; n = r + 4; c = n + 2; h = u + 14; w = r + 10; i = h + 8; u = p + 1; f = z + 1; r = 5; z = d + 4; s = w + 5; l = f + 1; d = s + 17. If r = 5, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"x": "h + 20", "d": "x + 8", "z": "d + 3", "o": "z + 20", "j": "o + 14", "a": "j + 17", "t": "h + 17", "u": "t + 9", "k": "u + 3", "n": "k + 7", "w": "n + 3", "g": "w + 8", "h": 13}, "premises": {"h": 13}, "target": "a"}, "answer": {"steps": [["j", "o + 14", "o + 31"], ["o", "z + 20", "z + 51"], ["z", "d + 3", "d + 54"], ["d", "x + 8", "x + 62"], ["x", "h + 20", "h + 82"], ["h", 13, "95"]], "target_var_name": "a", "target_value": 95, "value_dict": {"h": 13}, "is_reverse": true}}
| 3,896
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = z + 20; t = h + 17; a = j + 17; k = u + 3; z = d + 3; h = 13; u = t + 9; x = h + 20; w = n + 3; d = x + 8; g = w + 8; j = o + 14; n = k + 7. If h = 13, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 14 to a, which gives a = o + 31.\n2. Substitute o = z + 20 to a, which gives a = z + 51.\n3. Substitute z = d + 3 to a, which gives a = d + 54.\n4. Substitute d = x + 8 to a, which gives a = x + 62.\n5. Substitute x = h + 20 to a, which gives a = h + 82.\n6. Substitute h = 13 to a, which gives a = 95.\n\nThus, the final answer is a = \\boxed{95}.",
"index": 3896,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = z + 20; t = h + 17; a = j + 17; k = u + 3; z = d + 3; h = 13; u = t + 9; x = h + 20; w = n + 3; d = x + 8; g = w + 8; j = o + 14; n = k + 7. If h = 13, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"u": "q + 9", "k": "u + 2", "j": "k + 14", "a": "j + 9", "v": "a + 17", "f": "v + 12", "i": "q + 6", "n": "i + 10", "y": "n + 8", "t": "y + 2", "w": "t + 10", "p": "w + 8", "q": 1}, "premises": {"q": 1}, "target": "f"}, "answer": {"steps": [["v", "a + 17", "a + 29"], ["a", "j + 9", "j + 38"], ["j", "k + 14", "k + 52"], ["k", "u + 2", "u + 54"], ["u", "q + 9", "q + 63"], ["q", 1, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"q": 1}, "is_reverse": true}}
| 3,897
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = u + 2; i = q + 6; w = t + 10; n = i + 10; y = n + 8; j = k + 14; f = v + 12; q = 1; p = w + 8; v = a + 17; u = q + 9; a = j + 9; t = y + 2. Given that q = 1, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 17 to f, which gives f = a + 29.\n2. Substitute a = j + 9 to f, which gives f = j + 38.\n3. Substitute j = k + 14 to f, which gives f = k + 52.\n4. Substitute k = u + 2 to f, which gives f = u + 54.\n5. Substitute u = q + 9 to f, which gives f = q + 63.\n6. Substitute q = 1 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 3897,
"question": "Suppose a collection of variables is related by the following definitions: k = u + 2; i = q + 6; w = t + 10; n = i + 10; y = n + 8; j = k + 14; f = v + 12; q = 1; p = w + 8; v = a + 17; u = q + 9; a = j + 9; t = y + 2. Given that q = 1, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"n": "r + 6", "y": "n + 9", "j": "y + 9", "o": "j + 7", "z": "o + 7", "x": "z + 16", "u": "r + 2", "t": "u + 1", "c": "t + 13", "b": "c + 20", "d": "b + 1", "g": "d + 8", "r": 4}, "premises": {"r": 4}, "target": "x"}, "answer": {"steps": [["z", "o + 7", "o + 23"], ["o", "j + 7", "j + 30"], ["j", "y + 9", "y + 39"], ["y", "n + 9", "n + 48"], ["n", "r + 6", "r + 54"], ["r", 4, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"r": 4}, "is_reverse": true}}
| 3,898
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = o + 7; x = z + 16; u = r + 2; d = b + 1; y = n + 9; r = 4; t = u + 1; n = r + 6; j = y + 9; c = t + 13; b = c + 20; o = j + 7; g = d + 8. If r = 4, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 7 to x, which gives x = o + 23.\n2. Substitute o = j + 7 to x, which gives x = j + 30.\n3. Substitute j = y + 9 to x, which gives x = y + 39.\n4. Substitute y = n + 9 to x, which gives x = n + 48.\n5. Substitute n = r + 6 to x, which gives x = r + 54.\n6. Substitute r = 4 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 3898,
"question": "Consider a system of variables where each variable is defined as follows: z = o + 7; x = z + 16; u = r + 2; d = b + 1; y = n + 9; r = 4; t = u + 1; n = r + 6; j = y + 9; c = t + 13; b = c + 20; o = j + 7; g = d + 8. If r = 4, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"s": "o + 17", "f": "s + 16", "k": "f + 19", "q": "k + 5", "x": "q + 10", "i": "x + 1", "r": "o + 15", "l": "r + 11", "v": "l + 11", "m": "v + 20", "y": "m + 17", "g": "y + 1", "o": 14}, "premises": {"o": 14}, "target": "i"}, "answer": {"steps": [["x", "q + 10", "q + 11"], ["q", "k + 5", "k + 16"], ["k", "f + 19", "f + 35"], ["f", "s + 16", "s + 51"], ["s", "o + 17", "o + 68"], ["o", 14, "82"]], "target_var_name": "i", "target_value": 82, "value_dict": {"o": 14}, "is_reverse": true}}
| 3,899
| 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 = m + 17; o = 14; s = o + 17; g = y + 1; k = f + 19; q = k + 5; v = l + 11; r = o + 15; f = s + 16; x = q + 10; l = r + 11; i = x + 1; m = v + 20. If o = 14, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 10 to i, which gives i = q + 11.\n2. Substitute q = k + 5 to i, which gives i = k + 16.\n3. Substitute k = f + 19 to i, which gives i = f + 35.\n4. Substitute f = s + 16 to i, which gives i = s + 51.\n5. Substitute s = o + 17 to i, which gives i = o + 68.\n6. Substitute o = 14 to i, which gives i = 82.\n\nThus, the final answer is i = \\boxed{82}.",
"index": 3899,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = m + 17; o = 14; s = o + 17; g = y + 1; k = f + 19; q = k + 5; v = l + 11; r = o + 15; f = s + 16; x = q + 10; l = r + 11; i = x + 1; m = v + 20. If o = 14, what is the resulting value of i?",
"split": "train"
}
|
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