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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": {"x": "q + 10", "p": "x + 20", "h": "p + 7", "d": "h + 2", "n": "d + 9", "l": "n + 6", "g": "q + 11", "m": "g + 16", "j": "m + 9", "r": "j + 15", "z": "r + 11", "i": "z + 8", "q": 15}, "premises": {"q": 15}, "target": "l"}, "answer": {"steps": [["n", "d + 9", "d + 15"], ["d", "h + 2", "h + 17"], ["h", "p + 7", "p + 24"], ["p", "x + 20", "x + 44"], ["x", "q + 10", "q + 54"], ["q", 15, "69"]], "target_var_name": "l", "target_value": 69, "value_dict": {"q": 15}, "is_reverse": true}}
| 24,900
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = d + 9; q = 15; j = m + 9; r = j + 15; l = n + 6; i = z + 8; z = r + 11; p = x + 20; m = g + 16; d = h + 2; x = q + 10; g = q + 11; h = p + 7. Given that q = 15, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 9 to l, which gives l = d + 15.\n2. Substitute d = h + 2 to l, which gives l = h + 17.\n3. Substitute h = p + 7 to l, which gives l = p + 24.\n4. Substitute p = x + 20 to l, which gives l = x + 44.\n5. Substitute x = q + 10 to l, which gives l = q + 54.\n6. Substitute q = 15 to l, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 24900,
"question": "Suppose a collection of variables is related by the following definitions: n = d + 9; q = 15; j = m + 9; r = j + 15; l = n + 6; i = z + 8; z = r + 11; p = x + 20; m = g + 16; d = h + 2; x = q + 10; g = q + 11; h = p + 7. Given that q = 15, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"w": "y + 20", "g": "w + 7", "o": "g + 7", "n": "o + 11", "a": "n + 16", "q": "a + 3", "v": "y + 20", "i": "v + 7", "e": "i + 16", "l": "e + 4", "s": "l + 19", "u": "s + 14", "y": 2}, "premises": {"y": 2}, "target": "q"}, "answer": {"steps": [["a", "n + 16", "n + 19"], ["n", "o + 11", "o + 30"], ["o", "g + 7", "g + 37"], ["g", "w + 7", "w + 44"], ["w", "y + 20", "y + 64"], ["y", 2, "66"]], "target_var_name": "q", "target_value": 66, "value_dict": {"y": 2}, "is_reverse": true}}
| 24,901
| 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 = n + 16; s = l + 19; i = v + 7; w = y + 20; u = s + 14; g = w + 7; y = 2; e = i + 16; q = a + 3; l = e + 4; v = y + 20; n = o + 11; o = g + 7. If y = 2, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 16 to q, which gives q = n + 19.\n2. Substitute n = o + 11 to q, which gives q = o + 30.\n3. Substitute o = g + 7 to q, which gives q = g + 37.\n4. Substitute g = w + 7 to q, which gives q = w + 44.\n5. Substitute w = y + 20 to q, which gives q = y + 64.\n6. Substitute y = 2 to q, which gives q = 66.\n\nThus, the final answer is q = \\boxed{66}.",
"index": 24901,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 16; s = l + 19; i = v + 7; w = y + 20; u = s + 14; g = w + 7; y = 2; e = i + 16; q = a + 3; l = e + 4; v = y + 20; n = o + 11; o = g + 7. If y = 2, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"a": "x + 13", "f": "a + 11", "k": "f + 20", "s": "k + 8", "h": "s + 5", "n": "h + 11", "v": "x + 5", "q": "v + 9", "g": "q + 5", "i": "g + 13", "d": "i + 9", "r": "d + 8", "x": 15}, "premises": {"x": 15}, "target": "n"}, "answer": {"steps": [["h", "s + 5", "s + 16"], ["s", "k + 8", "k + 24"], ["k", "f + 20", "f + 44"], ["f", "a + 11", "a + 55"], ["a", "x + 13", "x + 68"], ["x", 15, "83"]], "target_var_name": "n", "target_value": 83, "value_dict": {"x": 15}, "is_reverse": true}}
| 24,902
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = 15; f = a + 11; d = i + 9; a = x + 13; v = x + 5; g = q + 5; s = k + 8; k = f + 20; q = v + 9; h = s + 5; r = d + 8; i = g + 13; n = h + 11. If x = 15, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 5 to n, which gives n = s + 16.\n2. Substitute s = k + 8 to n, which gives n = k + 24.\n3. Substitute k = f + 20 to n, which gives n = f + 44.\n4. Substitute f = a + 11 to n, which gives n = a + 55.\n5. Substitute a = x + 13 to n, which gives n = x + 68.\n6. Substitute x = 15 to n, which gives n = 83.\n\nThus, the final answer is n = \\boxed{83}.",
"index": 24902,
"question": "Consider a system of variables where each variable is defined as follows: x = 15; f = a + 11; d = i + 9; a = x + 13; v = x + 5; g = q + 5; s = k + 8; k = f + 20; q = v + 9; h = s + 5; r = d + 8; i = g + 13; n = h + 11. If x = 15, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"m": "b + 15", "z": "m + 14", "a": "z + 19", "f": "a + 14", "p": "f + 18", "n": "p + 10", "d": "b + 12", "k": "d + 8", "h": "k + 10", "t": "h + 2", "u": "t + 9", "c": "u + 18", "b": 15}, "premises": {"b": 15}, "target": "n"}, "answer": {"steps": [["p", "f + 18", "f + 28"], ["f", "a + 14", "a + 42"], ["a", "z + 19", "z + 61"], ["z", "m + 14", "m + 75"], ["m", "b + 15", "b + 90"], ["b", 15, "105"]], "target_var_name": "n", "target_value": 105, "value_dict": {"b": 15}, "is_reverse": true}}
| 24,903
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = d + 8; p = f + 18; c = u + 18; f = a + 14; m = b + 15; a = z + 19; t = h + 2; z = m + 14; u = t + 9; b = 15; h = k + 10; d = b + 12; n = p + 10. Given that b = 15, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 18 to n, which gives n = f + 28.\n2. Substitute f = a + 14 to n, which gives n = a + 42.\n3. Substitute a = z + 19 to n, which gives n = z + 61.\n4. Substitute z = m + 14 to n, which gives n = m + 75.\n5. Substitute m = b + 15 to n, which gives n = b + 90.\n6. Substitute b = 15 to n, which gives n = 105.\n\nThus, the final answer is n = \\boxed{105}.",
"index": 24903,
"question": "Suppose a collection of variables is related by the following definitions: k = d + 8; p = f + 18; c = u + 18; f = a + 14; m = b + 15; a = z + 19; t = h + 2; z = m + 14; u = t + 9; b = 15; h = k + 10; d = b + 12; n = p + 10. Given that b = 15, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"q": "y + 2", "f": "q + 9", "u": "f + 17", "g": "u + 15", "k": "g + 6", "m": "k + 1", "d": "y + 9", "j": "d + 16", "h": "j + 10", "v": "h + 16", "w": "v + 18", "l": "w + 4", "y": 7}, "premises": {"y": 7}, "target": "m"}, "answer": {"steps": [["k", "g + 6", "g + 7"], ["g", "u + 15", "u + 22"], ["u", "f + 17", "f + 39"], ["f", "q + 9", "q + 48"], ["q", "y + 2", "y + 50"], ["y", 7, "57"]], "target_var_name": "m", "target_value": 57, "value_dict": {"y": 7}, "is_reverse": true}}
| 24,904
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 9; v = h + 16; h = j + 10; j = d + 16; l = w + 4; f = q + 9; q = y + 2; m = k + 1; k = g + 6; w = v + 18; g = u + 15; y = 7; u = f + 17. Given that y = 7, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 6 to m, which gives m = g + 7.\n2. Substitute g = u + 15 to m, which gives m = u + 22.\n3. Substitute u = f + 17 to m, which gives m = f + 39.\n4. Substitute f = q + 9 to m, which gives m = q + 48.\n5. Substitute q = y + 2 to m, which gives m = y + 50.\n6. Substitute y = 7 to m, which gives m = 57.\n\nThus, the final answer is m = \\boxed{57}.",
"index": 24904,
"question": "Suppose a collection of variables is related by the following definitions: d = y + 9; v = h + 16; h = j + 10; j = d + 16; l = w + 4; f = q + 9; q = y + 2; m = k + 1; k = g + 6; w = v + 18; g = u + 15; y = 7; u = f + 17. Given that y = 7, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"t": "y + 14", "n": "t + 19", "g": "n + 9", "e": "g + 7", "a": "e + 12", "j": "a + 6", "f": "y + 4", "x": "f + 8", "q": "x + 1", "i": "q + 16", "o": "i + 6", "s": "o + 10", "y": 20}, "premises": {"y": 20}, "target": "j"}, "answer": {"steps": [["a", "e + 12", "e + 18"], ["e", "g + 7", "g + 25"], ["g", "n + 9", "n + 34"], ["n", "t + 19", "t + 53"], ["t", "y + 14", "y + 67"], ["y", 20, "87"]], "target_var_name": "j", "target_value": 87, "value_dict": {"y": 20}, "is_reverse": true}}
| 24,905
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = t + 19; g = n + 9; o = i + 6; j = a + 6; y = 20; q = x + 1; a = e + 12; i = q + 16; t = y + 14; x = f + 8; s = o + 10; f = y + 4; e = g + 7. If y = 20, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 12 to j, which gives j = e + 18.\n2. Substitute e = g + 7 to j, which gives j = g + 25.\n3. Substitute g = n + 9 to j, which gives j = n + 34.\n4. Substitute n = t + 19 to j, which gives j = t + 53.\n5. Substitute t = y + 14 to j, which gives j = y + 67.\n6. Substitute y = 20 to j, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 24905,
"question": "Consider a system of variables where each variable is defined as follows: n = t + 19; g = n + 9; o = i + 6; j = a + 6; y = 20; q = x + 1; a = e + 12; i = q + 16; t = y + 14; x = f + 8; s = o + 10; f = y + 4; e = g + 7. If y = 20, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 17", "s": "o + 5", "n": "s + 13", "d": "n + 12", "c": "d + 5", "x": "c + 17", "b": "k + 8", "r": "b + 13", "a": "r + 1", "y": "a + 15", "e": "y + 16", "z": "e + 17", "k": 9}, "premises": {"k": 9}, "target": "x"}, "answer": {"steps": [["c", "d + 5", "d + 22"], ["d", "n + 12", "n + 34"], ["n", "s + 13", "s + 47"], ["s", "o + 5", "o + 52"], ["o", "k + 17", "k + 69"], ["k", 9, "78"]], "target_var_name": "x", "target_value": 78, "value_dict": {"k": 9}, "is_reverse": true}}
| 24,906
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = k + 8; s = o + 5; y = a + 15; c = d + 5; d = n + 12; n = s + 13; z = e + 17; x = c + 17; k = 9; r = b + 13; o = k + 17; a = r + 1; e = y + 16. Given that k = 9, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 5 to x, which gives x = d + 22.\n2. Substitute d = n + 12 to x, which gives x = n + 34.\n3. Substitute n = s + 13 to x, which gives x = s + 47.\n4. Substitute s = o + 5 to x, which gives x = o + 52.\n5. Substitute o = k + 17 to x, which gives x = k + 69.\n6. Substitute k = 9 to x, which gives x = 78.\n\nThus, the final answer is x = \\boxed{78}.",
"index": 24906,
"question": "Suppose a collection of variables is related by the following definitions: b = k + 8; s = o + 5; y = a + 15; c = d + 5; d = n + 12; n = s + 13; z = e + 17; x = c + 17; k = 9; r = b + 13; o = k + 17; a = r + 1; e = y + 16. Given that k = 9, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"d": "j + 13", "l": "d + 2", "h": "l + 11", "g": "h + 20", "s": "g + 17", "y": "s + 1", "m": "j + 4", "a": "m + 20", "k": "a + 7", "t": "k + 14", "q": "t + 19", "e": "q + 11", "j": 16}, "premises": {"j": 16}, "target": "y"}, "answer": {"steps": [["s", "g + 17", "g + 18"], ["g", "h + 20", "h + 38"], ["h", "l + 11", "l + 49"], ["l", "d + 2", "d + 51"], ["d", "j + 13", "j + 64"], ["j", 16, "80"]], "target_var_name": "y", "target_value": 80, "value_dict": {"j": 16}, "is_reverse": true}}
| 24,907
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = s + 1; j = 16; l = d + 2; g = h + 20; h = l + 11; m = j + 4; d = j + 13; a = m + 20; t = k + 14; q = t + 19; e = q + 11; s = g + 17; k = a + 7. Given that j = 16, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 17 to y, which gives y = g + 18.\n2. Substitute g = h + 20 to y, which gives y = h + 38.\n3. Substitute h = l + 11 to y, which gives y = l + 49.\n4. Substitute l = d + 2 to y, which gives y = d + 51.\n5. Substitute d = j + 13 to y, which gives y = j + 64.\n6. Substitute j = 16 to y, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 24907,
"question": "Suppose a collection of variables is related by the following definitions: y = s + 1; j = 16; l = d + 2; g = h + 20; h = l + 11; m = j + 4; d = j + 13; a = m + 20; t = k + 14; q = t + 19; e = q + 11; s = g + 17; k = a + 7. Given that j = 16, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"s": "y + 13", "g": "s + 9", "p": "g + 14", "a": "p + 9", "h": "a + 5", "v": "h + 2", "l": "y + 13", "d": "l + 14", "w": "d + 1", "m": "w + 12", "t": "m + 8", "f": "t + 15", "y": 18}, "premises": {"y": 18}, "target": "v"}, "answer": {"steps": [["h", "a + 5", "a + 7"], ["a", "p + 9", "p + 16"], ["p", "g + 14", "g + 30"], ["g", "s + 9", "s + 39"], ["s", "y + 13", "y + 52"], ["y", 18, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"y": 18}, "is_reverse": true}}
| 24,908
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = 18; f = t + 15; a = p + 9; l = y + 13; w = d + 1; g = s + 9; s = y + 13; d = l + 14; p = g + 14; h = a + 5; v = h + 2; m = w + 12; t = m + 8. Given that y = 18, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 5 to v, which gives v = a + 7.\n2. Substitute a = p + 9 to v, which gives v = p + 16.\n3. Substitute p = g + 14 to v, which gives v = g + 30.\n4. Substitute g = s + 9 to v, which gives v = s + 39.\n5. Substitute s = y + 13 to v, which gives v = y + 52.\n6. Substitute y = 18 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 24908,
"question": "Suppose a collection of variables is related by the following definitions: y = 18; f = t + 15; a = p + 9; l = y + 13; w = d + 1; g = s + 9; s = y + 13; d = l + 14; p = g + 14; h = a + 5; v = h + 2; m = w + 12; t = m + 8. Given that y = 18, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"m": "n + 7", "y": "m + 14", "q": "y + 14", "j": "q + 19", "a": "j + 1", "h": "a + 12", "c": "n + 9", "t": "c + 8", "s": "t + 4", "k": "s + 8", "x": "k + 13", "g": "x + 17", "n": 9}, "premises": {"n": 9}, "target": "h"}, "answer": {"steps": [["a", "j + 1", "j + 13"], ["j", "q + 19", "q + 32"], ["q", "y + 14", "y + 46"], ["y", "m + 14", "m + 60"], ["m", "n + 7", "n + 67"], ["n", 9, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"n": 9}, "is_reverse": true}}
| 24,909
| 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 + 14; g = x + 17; t = c + 8; h = a + 12; s = t + 4; c = n + 9; x = k + 13; j = q + 19; n = 9; m = n + 7; k = s + 8; q = y + 14; a = j + 1. If n = 9, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 1 to h, which gives h = j + 13.\n2. Substitute j = q + 19 to h, which gives h = q + 32.\n3. Substitute q = y + 14 to h, which gives h = y + 46.\n4. Substitute y = m + 14 to h, which gives h = m + 60.\n5. Substitute m = n + 7 to h, which gives h = n + 67.\n6. Substitute n = 9 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 24909,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = m + 14; g = x + 17; t = c + 8; h = a + 12; s = t + 4; c = n + 9; x = k + 13; j = q + 19; n = 9; m = n + 7; k = s + 8; q = y + 14; a = j + 1. If n = 9, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"v": "a + 11", "q": "v + 4", "w": "q + 10", "k": "w + 16", "f": "k + 20", "o": "f + 13", "u": "a + 4", "i": "u + 10", "z": "i + 10", "c": "z + 11", "p": "c + 11", "l": "p + 18", "a": 10}, "premises": {"a": 10}, "target": "o"}, "answer": {"steps": [["f", "k + 20", "k + 33"], ["k", "w + 16", "w + 49"], ["w", "q + 10", "q + 59"], ["q", "v + 4", "v + 63"], ["v", "a + 11", "a + 74"], ["a", 10, "84"]], "target_var_name": "o", "target_value": 84, "value_dict": {"a": 10}, "is_reverse": true}}
| 24,910
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = q + 10; u = a + 4; q = v + 4; o = f + 13; a = 10; c = z + 11; f = k + 20; k = w + 16; z = i + 10; l = p + 18; p = c + 11; v = a + 11; i = u + 10. If a = 10, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 20 to o, which gives o = k + 33.\n2. Substitute k = w + 16 to o, which gives o = w + 49.\n3. Substitute w = q + 10 to o, which gives o = q + 59.\n4. Substitute q = v + 4 to o, which gives o = v + 63.\n5. Substitute v = a + 11 to o, which gives o = a + 74.\n6. Substitute a = 10 to o, which gives o = 84.\n\nThus, the final answer is o = \\boxed{84}.",
"index": 24910,
"question": "Consider a system of variables where each variable is defined as follows: w = q + 10; u = a + 4; q = v + 4; o = f + 13; a = 10; c = z + 11; f = k + 20; k = w + 16; z = i + 10; l = p + 18; p = c + 11; v = a + 11; i = u + 10. If a = 10, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"l": "t + 2", "q": "l + 17", "y": "q + 9", "v": "y + 1", "m": "v + 20", "x": "m + 2", "j": "t + 1", "h": "j + 4", "s": "h + 6", "p": "s + 13", "i": "p + 6", "r": "i + 13", "t": 20}, "premises": {"t": 20}, "target": "x"}, "answer": {"steps": [["m", "v + 20", "v + 22"], ["v", "y + 1", "y + 23"], ["y", "q + 9", "q + 32"], ["q", "l + 17", "l + 49"], ["l", "t + 2", "t + 51"], ["t", 20, "71"]], "target_var_name": "x", "target_value": 71, "value_dict": {"t": 20}, "is_reverse": true}}
| 24,911
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = t + 2; p = s + 13; i = p + 6; v = y + 1; j = t + 1; y = q + 9; t = 20; x = m + 2; h = j + 4; q = l + 17; s = h + 6; m = v + 20; r = i + 13. If t = 20, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 20 to x, which gives x = v + 22.\n2. Substitute v = y + 1 to x, which gives x = y + 23.\n3. Substitute y = q + 9 to x, which gives x = q + 32.\n4. Substitute q = l + 17 to x, which gives x = l + 49.\n5. Substitute l = t + 2 to x, which gives x = t + 51.\n6. Substitute t = 20 to x, which gives x = 71.\n\nThus, the final answer is x = \\boxed{71}.",
"index": 24911,
"question": "Consider a system of variables where each variable is defined as follows: l = t + 2; p = s + 13; i = p + 6; v = y + 1; j = t + 1; y = q + 9; t = 20; x = m + 2; h = j + 4; q = l + 17; s = h + 6; m = v + 20; r = i + 13. If t = 20, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"q": "w + 18", "n": "q + 10", "p": "n + 11", "k": "p + 10", "m": "k + 2", "b": "m + 1", "y": "w + 7", "f": "y + 8", "u": "f + 13", "v": "u + 15", "x": "v + 3", "t": "x + 18", "w": 2}, "premises": {"w": 2}, "target": "b"}, "answer": {"steps": [["m", "k + 2", "k + 3"], ["k", "p + 10", "p + 13"], ["p", "n + 11", "n + 24"], ["n", "q + 10", "q + 34"], ["q", "w + 18", "w + 52"], ["w", 2, "54"]], "target_var_name": "b", "target_value": 54, "value_dict": {"w": 2}, "is_reverse": true}}
| 24,912
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = p + 10; t = x + 18; m = k + 2; f = y + 8; v = u + 15; u = f + 13; n = q + 10; p = n + 11; x = v + 3; b = m + 1; w = 2; q = w + 18; y = w + 7. If w = 2, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 2 to b, which gives b = k + 3.\n2. Substitute k = p + 10 to b, which gives b = p + 13.\n3. Substitute p = n + 11 to b, which gives b = n + 24.\n4. Substitute n = q + 10 to b, which gives b = q + 34.\n5. Substitute q = w + 18 to b, which gives b = w + 52.\n6. Substitute w = 2 to b, which gives b = 54.\n\nThus, the final answer is b = \\boxed{54}.",
"index": 24912,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = p + 10; t = x + 18; m = k + 2; f = y + 8; v = u + 15; u = f + 13; n = q + 10; p = n + 11; x = v + 3; b = m + 1; w = 2; q = w + 18; y = w + 7. If w = 2, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"l": "k + 7", "b": "l + 5", "s": "b + 20", "h": "s + 2", "a": "h + 16", "d": "a + 8", "v": "k + 19", "p": "v + 17", "i": "p + 1", "g": "i + 13", "m": "g + 9", "q": "m + 16", "k": 14}, "premises": {"k": 14}, "target": "d"}, "answer": {"steps": [["a", "h + 16", "h + 24"], ["h", "s + 2", "s + 26"], ["s", "b + 20", "b + 46"], ["b", "l + 5", "l + 51"], ["l", "k + 7", "k + 58"], ["k", 14, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"k": 14}, "is_reverse": true}}
| 24,913
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = h + 16; b = l + 5; i = p + 1; l = k + 7; g = i + 13; d = a + 8; p = v + 17; q = m + 16; v = k + 19; k = 14; h = s + 2; m = g + 9; s = b + 20. Given that k = 14, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 16 to d, which gives d = h + 24.\n2. Substitute h = s + 2 to d, which gives d = s + 26.\n3. Substitute s = b + 20 to d, which gives d = b + 46.\n4. Substitute b = l + 5 to d, which gives d = l + 51.\n5. Substitute l = k + 7 to d, which gives d = k + 58.\n6. Substitute k = 14 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 24913,
"question": "Suppose a collection of variables is related by the following definitions: a = h + 16; b = l + 5; i = p + 1; l = k + 7; g = i + 13; d = a + 8; p = v + 17; q = m + 16; v = k + 19; k = 14; h = s + 2; m = g + 9; s = b + 20. Given that k = 14, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"h": "f + 11", "r": "h + 17", "k": "r + 13", "t": "k + 1", "i": "t + 18", "g": "i + 18", "y": "f + 12", "q": "y + 1", "b": "q + 14", "z": "b + 11", "s": "z + 2", "c": "s + 17", "f": 9}, "premises": {"f": 9}, "target": "g"}, "answer": {"steps": [["i", "t + 18", "t + 36"], ["t", "k + 1", "k + 37"], ["k", "r + 13", "r + 50"], ["r", "h + 17", "h + 67"], ["h", "f + 11", "f + 78"], ["f", 9, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"f": 9}, "is_reverse": true}}
| 24,914
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = i + 18; y = f + 12; t = k + 1; r = h + 17; z = b + 11; h = f + 11; s = z + 2; k = r + 13; f = 9; b = q + 14; i = t + 18; q = y + 1; c = s + 17. Given that f = 9, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 18 to g, which gives g = t + 36.\n2. Substitute t = k + 1 to g, which gives g = k + 37.\n3. Substitute k = r + 13 to g, which gives g = r + 50.\n4. Substitute r = h + 17 to g, which gives g = h + 67.\n5. Substitute h = f + 11 to g, which gives g = f + 78.\n6. Substitute f = 9 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 24914,
"question": "Suppose a collection of variables is related by the following definitions: g = i + 18; y = f + 12; t = k + 1; r = h + 17; z = b + 11; h = f + 11; s = z + 2; k = r + 13; f = 9; b = q + 14; i = t + 18; q = y + 1; c = s + 17. Given that f = 9, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"i": "p + 14", "a": "i + 10", "t": "a + 7", "w": "t + 3", "h": "w + 14", "z": "h + 6", "g": "p + 7", "j": "g + 3", "l": "j + 19", "v": "l + 6", "c": "v + 5", "f": "c + 15", "p": 13}, "premises": {"p": 13}, "target": "z"}, "answer": {"steps": [["h", "w + 14", "w + 20"], ["w", "t + 3", "t + 23"], ["t", "a + 7", "a + 30"], ["a", "i + 10", "i + 40"], ["i", "p + 14", "p + 54"], ["p", 13, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"p": 13}, "is_reverse": true}}
| 24,915
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = t + 3; p = 13; f = c + 15; c = v + 5; j = g + 3; z = h + 6; i = p + 14; t = a + 7; h = w + 14; v = l + 6; a = i + 10; l = j + 19; g = p + 7. If p = 13, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 14 to z, which gives z = w + 20.\n2. Substitute w = t + 3 to z, which gives z = t + 23.\n3. Substitute t = a + 7 to z, which gives z = a + 30.\n4. Substitute a = i + 10 to z, which gives z = i + 40.\n5. Substitute i = p + 14 to z, which gives z = p + 54.\n6. Substitute p = 13 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 24915,
"question": "Consider a system of variables where each variable is defined as follows: w = t + 3; p = 13; f = c + 15; c = v + 5; j = g + 3; z = h + 6; i = p + 14; t = a + 7; h = w + 14; v = l + 6; a = i + 10; l = j + 19; g = p + 7. If p = 13, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"a": "u + 3", "b": "a + 18", "s": "b + 1", "j": "s + 15", "o": "j + 16", "w": "o + 10", "t": "u + 15", "p": "t + 9", "k": "p + 14", "i": "k + 18", "r": "i + 19", "l": "r + 7", "u": 11}, "premises": {"u": 11}, "target": "w"}, "answer": {"steps": [["o", "j + 16", "j + 26"], ["j", "s + 15", "s + 41"], ["s", "b + 1", "b + 42"], ["b", "a + 18", "a + 60"], ["a", "u + 3", "u + 63"], ["u", 11, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"u": 11}, "is_reverse": true}}
| 24,916
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = b + 1; j = s + 15; k = p + 14; l = r + 7; p = t + 9; r = i + 19; o = j + 16; w = o + 10; t = u + 15; a = u + 3; u = 11; i = k + 18; b = a + 18. If u = 11, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 16 to w, which gives w = j + 26.\n2. Substitute j = s + 15 to w, which gives w = s + 41.\n3. Substitute s = b + 1 to w, which gives w = b + 42.\n4. Substitute b = a + 18 to w, which gives w = a + 60.\n5. Substitute a = u + 3 to w, which gives w = u + 63.\n6. Substitute u = 11 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 24916,
"question": "Consider a system of variables where each variable is defined as follows: s = b + 1; j = s + 15; k = p + 14; l = r + 7; p = t + 9; r = i + 19; o = j + 16; w = o + 10; t = u + 15; a = u + 3; u = 11; i = k + 18; b = a + 18. If u = 11, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"g": "s + 5", "k": "g + 12", "i": "k + 2", "c": "i + 17", "t": "c + 15", "l": "t + 12", "e": "s + 6", "m": "e + 2", "f": "m + 1", "h": "f + 11", "r": "h + 4", "y": "r + 5", "s": 6}, "premises": {"s": 6}, "target": "l"}, "answer": {"steps": [["t", "c + 15", "c + 27"], ["c", "i + 17", "i + 44"], ["i", "k + 2", "k + 46"], ["k", "g + 12", "g + 58"], ["g", "s + 5", "s + 63"], ["s", 6, "69"]], "target_var_name": "l", "target_value": 69, "value_dict": {"s": 6}, "is_reverse": true}}
| 24,917
| 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 = i + 17; f = m + 1; m = e + 2; i = k + 2; g = s + 5; r = h + 4; e = s + 6; t = c + 15; k = g + 12; h = f + 11; y = r + 5; s = 6; l = t + 12. If s = 6, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 15 to l, which gives l = c + 27.\n2. Substitute c = i + 17 to l, which gives l = i + 44.\n3. Substitute i = k + 2 to l, which gives l = k + 46.\n4. Substitute k = g + 12 to l, which gives l = g + 58.\n5. Substitute g = s + 5 to l, which gives l = s + 63.\n6. Substitute s = 6 to l, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 24917,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = i + 17; f = m + 1; m = e + 2; i = k + 2; g = s + 5; r = h + 4; e = s + 6; t = c + 15; k = g + 12; h = f + 11; y = r + 5; s = 6; l = t + 12. If s = 6, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"a": "r + 10", "u": "a + 3", "v": "u + 2", "g": "v + 9", "s": "g + 9", "o": "s + 13", "t": "r + 14", "y": "t + 10", "c": "y + 5", "z": "c + 6", "l": "z + 20", "d": "l + 12", "r": 14}, "premises": {"r": 14}, "target": "o"}, "answer": {"steps": [["s", "g + 9", "g + 22"], ["g", "v + 9", "v + 31"], ["v", "u + 2", "u + 33"], ["u", "a + 3", "a + 36"], ["a", "r + 10", "r + 46"], ["r", 14, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"r": 14}, "is_reverse": true}}
| 24,918
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = v + 9; u = a + 3; y = t + 10; d = l + 12; c = y + 5; s = g + 9; t = r + 14; v = u + 2; l = z + 20; a = r + 10; z = c + 6; r = 14; o = s + 13. If r = 14, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 9 to o, which gives o = g + 22.\n2. Substitute g = v + 9 to o, which gives o = v + 31.\n3. Substitute v = u + 2 to o, which gives o = u + 33.\n4. Substitute u = a + 3 to o, which gives o = a + 36.\n5. Substitute a = r + 10 to o, which gives o = r + 46.\n6. Substitute r = 14 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 24918,
"question": "Consider a system of variables where each variable is defined as follows: g = v + 9; u = a + 3; y = t + 10; d = l + 12; c = y + 5; s = g + 9; t = r + 14; v = u + 2; l = z + 20; a = r + 10; z = c + 6; r = 14; o = s + 13. If r = 14, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"x": "q + 13", "n": "x + 1", "b": "n + 20", "c": "b + 16", "j": "c + 11", "r": "j + 9", "g": "q + 11", "d": "g + 19", "o": "d + 19", "l": "o + 1", "t": "l + 19", "a": "t + 1", "q": 17}, "premises": {"q": 17}, "target": "r"}, "answer": {"steps": [["j", "c + 11", "c + 20"], ["c", "b + 16", "b + 36"], ["b", "n + 20", "n + 56"], ["n", "x + 1", "x + 57"], ["x", "q + 13", "q + 70"], ["q", 17, "87"]], "target_var_name": "r", "target_value": 87, "value_dict": {"q": 17}, "is_reverse": true}}
| 24,919
| 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 = g + 19; n = x + 1; c = b + 16; t = l + 19; r = j + 9; g = q + 11; o = d + 19; l = o + 1; a = t + 1; q = 17; b = n + 20; j = c + 11; x = q + 13. If q = 17, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 11 to r, which gives r = c + 20.\n2. Substitute c = b + 16 to r, which gives r = b + 36.\n3. Substitute b = n + 20 to r, which gives r = n + 56.\n4. Substitute n = x + 1 to r, which gives r = x + 57.\n5. Substitute x = q + 13 to r, which gives r = q + 70.\n6. Substitute q = 17 to r, which gives r = 87.\n\nThus, the final answer is r = \\boxed{87}.",
"index": 24919,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 19; n = x + 1; c = b + 16; t = l + 19; r = j + 9; g = q + 11; o = d + 19; l = o + 1; a = t + 1; q = 17; b = n + 20; j = c + 11; x = q + 13. If q = 17, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"f": "e + 17", "o": "f + 19", "r": "o + 18", "a": "r + 12", "z": "a + 17", "x": "z + 3", "b": "e + 4", "t": "b + 20", "g": "t + 19", "k": "g + 12", "d": "k + 3", "v": "d + 18", "e": 6}, "premises": {"e": 6}, "target": "x"}, "answer": {"steps": [["z", "a + 17", "a + 20"], ["a", "r + 12", "r + 32"], ["r", "o + 18", "o + 50"], ["o", "f + 19", "f + 69"], ["f", "e + 17", "e + 86"], ["e", 6, "92"]], "target_var_name": "x", "target_value": 92, "value_dict": {"e": 6}, "is_reverse": true}}
| 24,920
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = f + 19; k = g + 12; g = t + 19; x = z + 3; v = d + 18; t = b + 20; b = e + 4; d = k + 3; r = o + 18; f = e + 17; a = r + 12; z = a + 17; e = 6. If e = 6, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 17 to x, which gives x = a + 20.\n2. Substitute a = r + 12 to x, which gives x = r + 32.\n3. Substitute r = o + 18 to x, which gives x = o + 50.\n4. Substitute o = f + 19 to x, which gives x = f + 69.\n5. Substitute f = e + 17 to x, which gives x = e + 86.\n6. Substitute e = 6 to x, which gives x = 92.\n\nThus, the final answer is x = \\boxed{92}.",
"index": 24920,
"question": "Consider a system of variables where each variable is defined as follows: o = f + 19; k = g + 12; g = t + 19; x = z + 3; v = d + 18; t = b + 20; b = e + 4; d = k + 3; r = o + 18; f = e + 17; a = r + 12; z = a + 17; e = 6. If e = 6, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"a": "j + 2", "l": "a + 5", "x": "l + 12", "d": "x + 17", "e": "d + 7", "t": "e + 9", "k": "j + 16", "p": "k + 2", "h": "p + 16", "r": "h + 16", "v": "r + 16", "i": "v + 3", "j": 19}, "premises": {"j": 19}, "target": "t"}, "answer": {"steps": [["e", "d + 7", "d + 16"], ["d", "x + 17", "x + 33"], ["x", "l + 12", "l + 45"], ["l", "a + 5", "a + 50"], ["a", "j + 2", "j + 52"], ["j", 19, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"j": 19}, "is_reverse": true}}
| 24,921
| 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 = j + 2; d = x + 17; t = e + 9; h = p + 16; v = r + 16; x = l + 12; r = h + 16; j = 19; l = a + 5; k = j + 16; i = v + 3; e = d + 7; p = k + 2. If j = 19, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 7 to t, which gives t = d + 16.\n2. Substitute d = x + 17 to t, which gives t = x + 33.\n3. Substitute x = l + 12 to t, which gives t = l + 45.\n4. Substitute l = a + 5 to t, which gives t = a + 50.\n5. Substitute a = j + 2 to t, which gives t = j + 52.\n6. Substitute j = 19 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 24921,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = j + 2; d = x + 17; t = e + 9; h = p + 16; v = r + 16; x = l + 12; r = h + 16; j = 19; l = a + 5; k = j + 16; i = v + 3; e = d + 7; p = k + 2. If j = 19, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 12", "t": "e + 5", "i": "t + 18", "z": "i + 2", "q": "z + 15", "m": "q + 4", "g": "d + 6", "r": "g + 9", "y": "r + 6", "x": "y + 11", "p": "x + 3", "w": "p + 4", "d": 6}, "premises": {"d": 6}, "target": "m"}, "answer": {"steps": [["q", "z + 15", "z + 19"], ["z", "i + 2", "i + 21"], ["i", "t + 18", "t + 39"], ["t", "e + 5", "e + 44"], ["e", "d + 12", "d + 56"], ["d", 6, "62"]], "target_var_name": "m", "target_value": 62, "value_dict": {"d": 6}, "is_reverse": true}}
| 24,922
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = d + 12; i = t + 18; w = p + 4; x = y + 11; r = g + 9; g = d + 6; p = x + 3; d = 6; m = q + 4; t = e + 5; y = r + 6; q = z + 15; z = i + 2. Given that d = 6, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 15 to m, which gives m = z + 19.\n2. Substitute z = i + 2 to m, which gives m = i + 21.\n3. Substitute i = t + 18 to m, which gives m = t + 39.\n4. Substitute t = e + 5 to m, which gives m = e + 44.\n5. Substitute e = d + 12 to m, which gives m = d + 56.\n6. Substitute d = 6 to m, which gives m = 62.\n\nThus, the final answer is m = \\boxed{62}.",
"index": 24922,
"question": "Suppose a collection of variables is related by the following definitions: e = d + 12; i = t + 18; w = p + 4; x = y + 11; r = g + 9; g = d + 6; p = x + 3; d = 6; m = q + 4; t = e + 5; y = r + 6; q = z + 15; z = i + 2. Given that d = 6, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"m": "b + 7", "c": "m + 8", "v": "c + 19", "q": "v + 8", "n": "q + 5", "s": "n + 17", "o": "b + 17", "w": "o + 1", "u": "w + 17", "z": "u + 7", "g": "z + 15", "r": "g + 19", "b": 15}, "premises": {"b": 15}, "target": "s"}, "answer": {"steps": [["n", "q + 5", "q + 22"], ["q", "v + 8", "v + 30"], ["v", "c + 19", "c + 49"], ["c", "m + 8", "m + 57"], ["m", "b + 7", "b + 64"], ["b", 15, "79"]], "target_var_name": "s", "target_value": 79, "value_dict": {"b": 15}, "is_reverse": true}}
| 24,923
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = m + 8; z = u + 7; r = g + 19; v = c + 19; q = v + 8; b = 15; g = z + 15; w = o + 1; n = q + 5; o = b + 17; s = n + 17; u = w + 17; m = b + 7. Given that b = 15, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 5 to s, which gives s = q + 22.\n2. Substitute q = v + 8 to s, which gives s = v + 30.\n3. Substitute v = c + 19 to s, which gives s = c + 49.\n4. Substitute c = m + 8 to s, which gives s = m + 57.\n5. Substitute m = b + 7 to s, which gives s = b + 64.\n6. Substitute b = 15 to s, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 24923,
"question": "Suppose a collection of variables is related by the following definitions: c = m + 8; z = u + 7; r = g + 19; v = c + 19; q = v + 8; b = 15; g = z + 15; w = o + 1; n = q + 5; o = b + 17; s = n + 17; u = w + 17; m = b + 7. Given that b = 15, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"i": "n + 7", "l": "i + 11", "x": "l + 4", "h": "x + 2", "w": "h + 5", "c": "w + 10", "j": "n + 17", "b": "j + 13", "s": "b + 6", "y": "s + 12", "k": "y + 16", "g": "k + 6", "n": 14}, "premises": {"n": 14}, "target": "c"}, "answer": {"steps": [["w", "h + 5", "h + 15"], ["h", "x + 2", "x + 17"], ["x", "l + 4", "l + 21"], ["l", "i + 11", "i + 32"], ["i", "n + 7", "n + 39"], ["n", 14, "53"]], "target_var_name": "c", "target_value": 53, "value_dict": {"n": 14}, "is_reverse": true}}
| 24,924
| 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 = l + 4; j = n + 17; l = i + 11; i = n + 7; n = 14; k = y + 16; h = x + 2; c = w + 10; s = b + 6; y = s + 12; w = h + 5; b = j + 13; g = k + 6. If n = 14, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 5 to c, which gives c = h + 15.\n2. Substitute h = x + 2 to c, which gives c = x + 17.\n3. Substitute x = l + 4 to c, which gives c = l + 21.\n4. Substitute l = i + 11 to c, which gives c = i + 32.\n5. Substitute i = n + 7 to c, which gives c = n + 39.\n6. Substitute n = 14 to c, which gives c = 53.\n\nThus, the final answer is c = \\boxed{53}.",
"index": 24924,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = l + 4; j = n + 17; l = i + 11; i = n + 7; n = 14; k = y + 16; h = x + 2; c = w + 10; s = b + 6; y = s + 12; w = h + 5; b = j + 13; g = k + 6. If n = 14, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"x": "c + 11", "f": "x + 10", "p": "f + 13", "t": "p + 4", "b": "t + 11", "l": "b + 9", "n": "c + 12", "s": "n + 6", "z": "s + 12", "r": "z + 16", "a": "r + 12", "v": "a + 6", "c": 9}, "premises": {"c": 9}, "target": "l"}, "answer": {"steps": [["b", "t + 11", "t + 20"], ["t", "p + 4", "p + 24"], ["p", "f + 13", "f + 37"], ["f", "x + 10", "x + 47"], ["x", "c + 11", "c + 58"], ["c", 9, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"c": 9}, "is_reverse": true}}
| 24,925
| 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 = a + 6; x = c + 11; c = 9; a = r + 12; l = b + 9; p = f + 13; r = z + 16; z = s + 12; f = x + 10; b = t + 11; t = p + 4; n = c + 12; s = n + 6. If c = 9, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 11 to l, which gives l = t + 20.\n2. Substitute t = p + 4 to l, which gives l = p + 24.\n3. Substitute p = f + 13 to l, which gives l = f + 37.\n4. Substitute f = x + 10 to l, which gives l = x + 47.\n5. Substitute x = c + 11 to l, which gives l = c + 58.\n6. Substitute c = 9 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 24925,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = a + 6; x = c + 11; c = 9; a = r + 12; l = b + 9; p = f + 13; r = z + 16; z = s + 12; f = x + 10; b = t + 11; t = p + 4; n = c + 12; s = n + 6. If c = 9, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"u": "f + 9", "j": "u + 3", "y": "j + 19", "r": "y + 17", "l": "r + 4", "s": "l + 14", "k": "f + 15", "a": "k + 16", "w": "a + 11", "t": "w + 2", "h": "t + 9", "p": "h + 14", "f": 16}, "premises": {"f": 16}, "target": "s"}, "answer": {"steps": [["l", "r + 4", "r + 18"], ["r", "y + 17", "y + 35"], ["y", "j + 19", "j + 54"], ["j", "u + 3", "u + 57"], ["u", "f + 9", "f + 66"], ["f", 16, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"f": 16}, "is_reverse": true}}
| 24,926
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = j + 19; a = k + 16; k = f + 15; h = t + 9; r = y + 17; s = l + 14; f = 16; w = a + 11; p = h + 14; j = u + 3; u = f + 9; l = r + 4; t = w + 2. Given that f = 16, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 4 to s, which gives s = r + 18.\n2. Substitute r = y + 17 to s, which gives s = y + 35.\n3. Substitute y = j + 19 to s, which gives s = j + 54.\n4. Substitute j = u + 3 to s, which gives s = u + 57.\n5. Substitute u = f + 9 to s, which gives s = f + 66.\n6. Substitute f = 16 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 24926,
"question": "Suppose a collection of variables is related by the following definitions: y = j + 19; a = k + 16; k = f + 15; h = t + 9; r = y + 17; s = l + 14; f = 16; w = a + 11; p = h + 14; j = u + 3; u = f + 9; l = r + 4; t = w + 2. Given that f = 16, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"s": "g + 15", "o": "s + 3", "l": "o + 10", "u": "l + 3", "z": "u + 3", "f": "z + 7", "k": "g + 11", "p": "k + 18", "j": "p + 19", "i": "j + 14", "v": "i + 12", "y": "v + 6", "g": 3}, "premises": {"g": 3}, "target": "f"}, "answer": {"steps": [["z", "u + 3", "u + 10"], ["u", "l + 3", "l + 13"], ["l", "o + 10", "o + 23"], ["o", "s + 3", "s + 26"], ["s", "g + 15", "g + 41"], ["g", 3, "44"]], "target_var_name": "f", "target_value": 44, "value_dict": {"g": 3}, "is_reverse": true}}
| 24,927
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = p + 19; p = k + 18; g = 3; y = v + 6; z = u + 3; f = z + 7; l = o + 10; k = g + 11; s = g + 15; o = s + 3; u = l + 3; v = i + 12; i = j + 14. If g = 3, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 3 to f, which gives f = u + 10.\n2. Substitute u = l + 3 to f, which gives f = l + 13.\n3. Substitute l = o + 10 to f, which gives f = o + 23.\n4. Substitute o = s + 3 to f, which gives f = s + 26.\n5. Substitute s = g + 15 to f, which gives f = g + 41.\n6. Substitute g = 3 to f, which gives f = 44.\n\nThus, the final answer is f = \\boxed{44}.",
"index": 24927,
"question": "Consider a system of variables where each variable is defined as follows: j = p + 19; p = k + 18; g = 3; y = v + 6; z = u + 3; f = z + 7; l = o + 10; k = g + 11; s = g + 15; o = s + 3; u = l + 3; v = i + 12; i = j + 14. If g = 3, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"n": "m + 17", "x": "n + 4", "p": "x + 5", "u": "p + 11", "t": "u + 1", "a": "t + 5", "o": "m + 13", "h": "o + 18", "c": "h + 9", "k": "c + 17", "w": "k + 10", "j": "w + 11", "m": 19}, "premises": {"m": 19}, "target": "a"}, "answer": {"steps": [["t", "u + 1", "u + 6"], ["u", "p + 11", "p + 17"], ["p", "x + 5", "x + 22"], ["x", "n + 4", "n + 26"], ["n", "m + 17", "m + 43"], ["m", 19, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"m": 19}, "is_reverse": true}}
| 24,928
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = m + 13; j = w + 11; x = n + 4; u = p + 11; n = m + 17; h = o + 18; a = t + 5; w = k + 10; c = h + 9; t = u + 1; m = 19; k = c + 17; p = x + 5. Given that m = 19, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 1 to a, which gives a = u + 6.\n2. Substitute u = p + 11 to a, which gives a = p + 17.\n3. Substitute p = x + 5 to a, which gives a = x + 22.\n4. Substitute x = n + 4 to a, which gives a = n + 26.\n5. Substitute n = m + 17 to a, which gives a = m + 43.\n6. Substitute m = 19 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 24928,
"question": "Suppose a collection of variables is related by the following definitions: o = m + 13; j = w + 11; x = n + 4; u = p + 11; n = m + 17; h = o + 18; a = t + 5; w = k + 10; c = h + 9; t = u + 1; m = 19; k = c + 17; p = x + 5. Given that m = 19, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"r": "x + 4", "q": "r + 11", "d": "q + 14", "e": "d + 5", "s": "e + 10", "w": "s + 10", "t": "x + 8", "o": "t + 12", "b": "o + 19", "k": "b + 14", "p": "k + 16", "f": "p + 6", "x": 16}, "premises": {"x": 16}, "target": "w"}, "answer": {"steps": [["s", "e + 10", "e + 20"], ["e", "d + 5", "d + 25"], ["d", "q + 14", "q + 39"], ["q", "r + 11", "r + 50"], ["r", "x + 4", "x + 54"], ["x", 16, "70"]], "target_var_name": "w", "target_value": 70, "value_dict": {"x": 16}, "is_reverse": true}}
| 24,929
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = o + 19; o = t + 12; x = 16; d = q + 14; q = r + 11; s = e + 10; t = x + 8; k = b + 14; w = s + 10; r = x + 4; f = p + 6; p = k + 16; e = d + 5. If x = 16, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 10 to w, which gives w = e + 20.\n2. Substitute e = d + 5 to w, which gives w = d + 25.\n3. Substitute d = q + 14 to w, which gives w = q + 39.\n4. Substitute q = r + 11 to w, which gives w = r + 50.\n5. Substitute r = x + 4 to w, which gives w = x + 54.\n6. Substitute x = 16 to w, which gives w = 70.\n\nThus, the final answer is w = \\boxed{70}.",
"index": 24929,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = o + 19; o = t + 12; x = 16; d = q + 14; q = r + 11; s = e + 10; t = x + 8; k = b + 14; w = s + 10; r = x + 4; f = p + 6; p = k + 16; e = d + 5. If x = 16, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"k": "p + 6", "x": "k + 20", "i": "x + 5", "y": "i + 7", "o": "y + 4", "h": "o + 11", "g": "p + 1", "n": "g + 4", "j": "n + 10", "d": "j + 7", "f": "d + 11", "e": "f + 9", "p": 2}, "premises": {"p": 2}, "target": "h"}, "answer": {"steps": [["o", "y + 4", "y + 15"], ["y", "i + 7", "i + 22"], ["i", "x + 5", "x + 27"], ["x", "k + 20", "k + 47"], ["k", "p + 6", "p + 53"], ["p", 2, "55"]], "target_var_name": "h", "target_value": 55, "value_dict": {"p": 2}, "is_reverse": true}}
| 24,930
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = f + 9; x = k + 20; o = y + 4; y = i + 7; k = p + 6; n = g + 4; h = o + 11; p = 2; d = j + 7; j = n + 10; f = d + 11; i = x + 5; g = p + 1. If p = 2, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 4 to h, which gives h = y + 15.\n2. Substitute y = i + 7 to h, which gives h = i + 22.\n3. Substitute i = x + 5 to h, which gives h = x + 27.\n4. Substitute x = k + 20 to h, which gives h = k + 47.\n5. Substitute k = p + 6 to h, which gives h = p + 53.\n6. Substitute p = 2 to h, which gives h = 55.\n\nThus, the final answer is h = \\boxed{55}.",
"index": 24930,
"question": "Consider a system of variables where each variable is defined as follows: e = f + 9; x = k + 20; o = y + 4; y = i + 7; k = p + 6; n = g + 4; h = o + 11; p = 2; d = j + 7; j = n + 10; f = d + 11; i = x + 5; g = p + 1. If p = 2, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"n": "e + 20", "w": "n + 7", "d": "w + 17", "x": "d + 5", "i": "x + 19", "p": "i + 7", "f": "e + 16", "o": "f + 11", "j": "o + 11", "c": "j + 5", "r": "c + 10", "k": "r + 19", "e": 3}, "premises": {"e": 3}, "target": "p"}, "answer": {"steps": [["i", "x + 19", "x + 26"], ["x", "d + 5", "d + 31"], ["d", "w + 17", "w + 48"], ["w", "n + 7", "n + 55"], ["n", "e + 20", "e + 75"], ["e", 3, "78"]], "target_var_name": "p", "target_value": 78, "value_dict": {"e": 3}, "is_reverse": true}}
| 24,931
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = 3; i = x + 19; f = e + 16; d = w + 17; k = r + 19; p = i + 7; n = e + 20; w = n + 7; c = j + 5; x = d + 5; o = f + 11; r = c + 10; j = o + 11. If e = 3, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 19 to p, which gives p = x + 26.\n2. Substitute x = d + 5 to p, which gives p = d + 31.\n3. Substitute d = w + 17 to p, which gives p = w + 48.\n4. Substitute w = n + 7 to p, which gives p = n + 55.\n5. Substitute n = e + 20 to p, which gives p = e + 75.\n6. Substitute e = 3 to p, which gives p = 78.\n\nThus, the final answer is p = \\boxed{78}.",
"index": 24931,
"question": "Consider a system of variables where each variable is defined as follows: e = 3; i = x + 19; f = e + 16; d = w + 17; k = r + 19; p = i + 7; n = e + 20; w = n + 7; c = j + 5; x = d + 5; o = f + 11; r = c + 10; j = o + 11. If e = 3, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"f": "w + 17", "u": "f + 14", "l": "u + 19", "h": "l + 19", "s": "h + 13", "m": "s + 3", "z": "w + 18", "r": "z + 6", "a": "r + 5", "g": "a + 6", "e": "g + 12", "x": "e + 11", "w": 13}, "premises": {"w": 13}, "target": "m"}, "answer": {"steps": [["s", "h + 13", "h + 16"], ["h", "l + 19", "l + 35"], ["l", "u + 19", "u + 54"], ["u", "f + 14", "f + 68"], ["f", "w + 17", "w + 85"], ["w", 13, "98"]], "target_var_name": "m", "target_value": 98, "value_dict": {"w": 13}, "is_reverse": true}}
| 24,932
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = w + 17; m = s + 3; r = z + 6; x = e + 11; z = w + 18; s = h + 13; a = r + 5; h = l + 19; w = 13; e = g + 12; g = a + 6; l = u + 19; u = f + 14. Given that w = 13, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 13 to m, which gives m = h + 16.\n2. Substitute h = l + 19 to m, which gives m = l + 35.\n3. Substitute l = u + 19 to m, which gives m = u + 54.\n4. Substitute u = f + 14 to m, which gives m = f + 68.\n5. Substitute f = w + 17 to m, which gives m = w + 85.\n6. Substitute w = 13 to m, which gives m = 98.\n\nThus, the final answer is m = \\boxed{98}.",
"index": 24932,
"question": "Suppose a collection of variables is related by the following definitions: f = w + 17; m = s + 3; r = z + 6; x = e + 11; z = w + 18; s = h + 13; a = r + 5; h = l + 19; w = 13; e = g + 12; g = a + 6; l = u + 19; u = f + 14. Given that w = 13, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"a": "b + 9", "o": "a + 16", "j": "o + 5", "u": "j + 14", "v": "u + 10", "y": "v + 8", "e": "b + 1", "r": "e + 12", "n": "r + 2", "l": "n + 4", "w": "l + 16", "d": "w + 18", "b": 17}, "premises": {"b": 17}, "target": "y"}, "answer": {"steps": [["v", "u + 10", "u + 18"], ["u", "j + 14", "j + 32"], ["j", "o + 5", "o + 37"], ["o", "a + 16", "a + 53"], ["a", "b + 9", "b + 62"], ["b", 17, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"b": 17}, "is_reverse": true}}
| 24,933
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = r + 2; b = 17; o = a + 16; d = w + 18; y = v + 8; l = n + 4; j = o + 5; u = j + 14; a = b + 9; v = u + 10; w = l + 16; e = b + 1; r = e + 12. Given that b = 17, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 10 to y, which gives y = u + 18.\n2. Substitute u = j + 14 to y, which gives y = j + 32.\n3. Substitute j = o + 5 to y, which gives y = o + 37.\n4. Substitute o = a + 16 to y, which gives y = a + 53.\n5. Substitute a = b + 9 to y, which gives y = b + 62.\n6. Substitute b = 17 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 24933,
"question": "Suppose a collection of variables is related by the following definitions: n = r + 2; b = 17; o = a + 16; d = w + 18; y = v + 8; l = n + 4; j = o + 5; u = j + 14; a = b + 9; v = u + 10; w = l + 16; e = b + 1; r = e + 12. Given that b = 17, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"t": "w + 10", "h": "t + 17", "m": "h + 19", "l": "m + 13", "o": "l + 1", "d": "o + 8", "j": "w + 5", "n": "j + 4", "a": "n + 13", "r": "a + 17", "b": "r + 9", "k": "b + 8", "w": 13}, "premises": {"w": 13}, "target": "d"}, "answer": {"steps": [["o", "l + 1", "l + 9"], ["l", "m + 13", "m + 22"], ["m", "h + 19", "h + 41"], ["h", "t + 17", "t + 58"], ["t", "w + 10", "w + 68"], ["w", 13, "81"]], "target_var_name": "d", "target_value": 81, "value_dict": {"w": 13}, "is_reverse": true}}
| 24,934
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = b + 8; j = w + 5; n = j + 4; m = h + 19; l = m + 13; o = l + 1; w = 13; d = o + 8; b = r + 9; r = a + 17; a = n + 13; h = t + 17; t = w + 10. Given that w = 13, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 1 to d, which gives d = l + 9.\n2. Substitute l = m + 13 to d, which gives d = m + 22.\n3. Substitute m = h + 19 to d, which gives d = h + 41.\n4. Substitute h = t + 17 to d, which gives d = t + 58.\n5. Substitute t = w + 10 to d, which gives d = w + 68.\n6. Substitute w = 13 to d, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 24934,
"question": "Suppose a collection of variables is related by the following definitions: k = b + 8; j = w + 5; n = j + 4; m = h + 19; l = m + 13; o = l + 1; w = 13; d = o + 8; b = r + 9; r = a + 17; a = n + 13; h = t + 17; t = w + 10. Given that w = 13, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"b": "k + 10", "s": "b + 9", "d": "s + 1", "t": "d + 10", "a": "t + 1", "r": "a + 10", "o": "k + 20", "n": "o + 18", "c": "n + 1", "f": "c + 8", "y": "f + 12", "z": "y + 19", "k": 8}, "premises": {"k": 8}, "target": "r"}, "answer": {"steps": [["a", "t + 1", "t + 11"], ["t", "d + 10", "d + 21"], ["d", "s + 1", "s + 22"], ["s", "b + 9", "b + 31"], ["b", "k + 10", "k + 41"], ["k", 8, "49"]], "target_var_name": "r", "target_value": 49, "value_dict": {"k": 8}, "is_reverse": true}}
| 24,935
| 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; a = t + 1; r = a + 10; k = 8; d = s + 1; s = b + 9; c = n + 1; t = d + 10; z = y + 19; y = f + 12; f = c + 8; n = o + 18; b = k + 10. Given that k = 8, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 1 to r, which gives r = t + 11.\n2. Substitute t = d + 10 to r, which gives r = d + 21.\n3. Substitute d = s + 1 to r, which gives r = s + 22.\n4. Substitute s = b + 9 to r, which gives r = b + 31.\n5. Substitute b = k + 10 to r, which gives r = k + 41.\n6. Substitute k = 8 to r, which gives r = 49.\n\nThus, the final answer is r = \\boxed{49}.",
"index": 24935,
"question": "Suppose a collection of variables is related by the following definitions: o = k + 20; a = t + 1; r = a + 10; k = 8; d = s + 1; s = b + 9; c = n + 1; t = d + 10; z = y + 19; y = f + 12; f = c + 8; n = o + 18; b = k + 10. Given that k = 8, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 20", "q": "p + 15", "h": "q + 19", "w": "h + 2", "m": "w + 5", "y": "m + 1", "n": "x + 3", "f": "n + 16", "c": "f + 13", "l": "c + 1", "o": "l + 18", "b": "o + 6", "x": 17}, "premises": {"x": 17}, "target": "y"}, "answer": {"steps": [["m", "w + 5", "w + 6"], ["w", "h + 2", "h + 8"], ["h", "q + 19", "q + 27"], ["q", "p + 15", "p + 42"], ["p", "x + 20", "x + 62"], ["x", 17, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"x": 17}, "is_reverse": true}}
| 24,936
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = w + 5; l = c + 1; f = n + 16; p = x + 20; y = m + 1; c = f + 13; b = o + 6; n = x + 3; h = q + 19; x = 17; o = l + 18; q = p + 15; w = h + 2. If x = 17, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 5 to y, which gives y = w + 6.\n2. Substitute w = h + 2 to y, which gives y = h + 8.\n3. Substitute h = q + 19 to y, which gives y = q + 27.\n4. Substitute q = p + 15 to y, which gives y = p + 42.\n5. Substitute p = x + 20 to y, which gives y = x + 62.\n6. Substitute x = 17 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 24936,
"question": "Consider a system of variables where each variable is defined as follows: m = w + 5; l = c + 1; f = n + 16; p = x + 20; y = m + 1; c = f + 13; b = o + 6; n = x + 3; h = q + 19; x = 17; o = l + 18; q = p + 15; w = h + 2. If x = 17, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"v": "r + 10", "m": "v + 12", "q": "m + 12", "n": "q + 10", "t": "n + 14", "f": "t + 15", "a": "r + 12", "s": "a + 14", "c": "s + 13", "x": "c + 19", "o": "x + 6", "p": "o + 13", "r": 8}, "premises": {"r": 8}, "target": "f"}, "answer": {"steps": [["t", "n + 14", "n + 29"], ["n", "q + 10", "q + 39"], ["q", "m + 12", "m + 51"], ["m", "v + 12", "v + 63"], ["v", "r + 10", "r + 73"], ["r", 8, "81"]], "target_var_name": "f", "target_value": 81, "value_dict": {"r": 8}, "is_reverse": true}}
| 24,937
| 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 = a + 14; p = o + 13; o = x + 6; r = 8; t = n + 14; a = r + 12; f = t + 15; m = v + 12; x = c + 19; v = r + 10; c = s + 13; q = m + 12; n = q + 10. If r = 8, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 14 to f, which gives f = n + 29.\n2. Substitute n = q + 10 to f, which gives f = q + 39.\n3. Substitute q = m + 12 to f, which gives f = m + 51.\n4. Substitute m = v + 12 to f, which gives f = v + 63.\n5. Substitute v = r + 10 to f, which gives f = r + 73.\n6. Substitute r = 8 to f, which gives f = 81.\n\nThus, the final answer is f = \\boxed{81}.",
"index": 24937,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 14; p = o + 13; o = x + 6; r = 8; t = n + 14; a = r + 12; f = t + 15; m = v + 12; x = c + 19; v = r + 10; c = s + 13; q = m + 12; n = q + 10. If r = 8, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"t": "z + 10", "q": "t + 7", "h": "q + 1", "a": "h + 12", "m": "a + 18", "l": "m + 1", "y": "z + 17", "f": "y + 17", "k": "f + 16", "s": "k + 14", "c": "s + 15", "x": "c + 9", "z": 10}, "premises": {"z": 10}, "target": "l"}, "answer": {"steps": [["m", "a + 18", "a + 19"], ["a", "h + 12", "h + 31"], ["h", "q + 1", "q + 32"], ["q", "t + 7", "t + 39"], ["t", "z + 10", "z + 49"], ["z", 10, "59"]], "target_var_name": "l", "target_value": 59, "value_dict": {"z": 10}, "is_reverse": true}}
| 24,938
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 17; l = m + 1; h = q + 1; t = z + 10; m = a + 18; a = h + 12; y = z + 17; x = c + 9; z = 10; q = t + 7; c = s + 15; k = f + 16; s = k + 14. If z = 10, what is the resulting 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 m = a + 18 to l, which gives l = a + 19.\n2. Substitute a = h + 12 to l, which gives l = h + 31.\n3. Substitute h = q + 1 to l, which gives l = q + 32.\n4. Substitute q = t + 7 to l, which gives l = t + 39.\n5. Substitute t = z + 10 to l, which gives l = z + 49.\n6. Substitute z = 10 to l, which gives l = 59.\n\nThus, the final answer is l = \\boxed{59}.",
"index": 24938,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 17; l = m + 1; h = q + 1; t = z + 10; m = a + 18; a = h + 12; y = z + 17; x = c + 9; z = 10; q = t + 7; c = s + 15; k = f + 16; s = k + 14. If z = 10, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"h": "c + 3", "e": "h + 12", "f": "e + 13", "p": "f + 18", "n": "p + 8", "q": "n + 12", "m": "c + 13", "k": "m + 4", "x": "k + 19", "v": "x + 19", "o": "v + 19", "w": "o + 12", "c": 3}, "premises": {"c": 3}, "target": "q"}, "answer": {"steps": [["n", "p + 8", "p + 20"], ["p", "f + 18", "f + 38"], ["f", "e + 13", "e + 51"], ["e", "h + 12", "h + 63"], ["h", "c + 3", "c + 66"], ["c", 3, "69"]], "target_var_name": "q", "target_value": 69, "value_dict": {"c": 3}, "is_reverse": true}}
| 24,939
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 3; q = n + 12; f = e + 13; n = p + 8; c = 3; w = o + 12; v = x + 19; k = m + 4; o = v + 19; p = f + 18; m = c + 13; e = h + 12; x = k + 19. If c = 3, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 8 to q, which gives q = p + 20.\n2. Substitute p = f + 18 to q, which gives q = f + 38.\n3. Substitute f = e + 13 to q, which gives q = e + 51.\n4. Substitute e = h + 12 to q, which gives q = h + 63.\n5. Substitute h = c + 3 to q, which gives q = c + 66.\n6. Substitute c = 3 to q, which gives q = 69.\n\nThus, the final answer is q = \\boxed{69}.",
"index": 24939,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 3; q = n + 12; f = e + 13; n = p + 8; c = 3; w = o + 12; v = x + 19; k = m + 4; o = v + 19; p = f + 18; m = c + 13; e = h + 12; x = k + 19. If c = 3, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"j": "t + 16", "i": "j + 12", "a": "i + 18", "p": "a + 7", "k": "p + 6", "d": "k + 17", "b": "t + 9", "c": "b + 15", "w": "c + 19", "l": "w + 3", "m": "l + 17", "r": "m + 14", "t": 6}, "premises": {"t": 6}, "target": "d"}, "answer": {"steps": [["k", "p + 6", "p + 23"], ["p", "a + 7", "a + 30"], ["a", "i + 18", "i + 48"], ["i", "j + 12", "j + 60"], ["j", "t + 16", "t + 76"], ["t", 6, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"t": 6}, "is_reverse": true}}
| 24,940
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = t + 16; d = k + 17; l = w + 3; p = a + 7; r = m + 14; a = i + 18; t = 6; c = b + 15; i = j + 12; m = l + 17; k = p + 6; b = t + 9; w = c + 19. Given that t = 6, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 6 to d, which gives d = p + 23.\n2. Substitute p = a + 7 to d, which gives d = a + 30.\n3. Substitute a = i + 18 to d, which gives d = i + 48.\n4. Substitute i = j + 12 to d, which gives d = j + 60.\n5. Substitute j = t + 16 to d, which gives d = t + 76.\n6. Substitute t = 6 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 24940,
"question": "Suppose a collection of variables is related by the following definitions: j = t + 16; d = k + 17; l = w + 3; p = a + 7; r = m + 14; a = i + 18; t = 6; c = b + 15; i = j + 12; m = l + 17; k = p + 6; b = t + 9; w = c + 19. Given that t = 6, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"w": "z + 15", "q": "w + 10", "t": "q + 3", "u": "t + 17", "b": "u + 10", "v": "b + 20", "i": "z + 18", "a": "i + 2", "x": "a + 18", "e": "x + 12", "l": "e + 10", "p": "l + 8", "z": 4}, "premises": {"z": 4}, "target": "v"}, "answer": {"steps": [["b", "u + 10", "u + 30"], ["u", "t + 17", "t + 47"], ["t", "q + 3", "q + 50"], ["q", "w + 10", "w + 60"], ["w", "z + 15", "z + 75"], ["z", 4, "79"]], "target_var_name": "v", "target_value": 79, "value_dict": {"z": 4}, "is_reverse": true}}
| 24,941
| 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; a = i + 2; e = x + 12; w = z + 15; l = e + 10; i = z + 18; p = l + 8; x = a + 18; b = u + 10; v = b + 20; u = t + 17; z = 4; t = q + 3. Given that z = 4, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 10 to v, which gives v = u + 30.\n2. Substitute u = t + 17 to v, which gives v = t + 47.\n3. Substitute t = q + 3 to v, which gives v = q + 50.\n4. Substitute q = w + 10 to v, which gives v = w + 60.\n5. Substitute w = z + 15 to v, which gives v = z + 75.\n6. Substitute z = 4 to v, which gives v = 79.\n\nThus, the final answer is v = \\boxed{79}.",
"index": 24941,
"question": "Suppose a collection of variables is related by the following definitions: q = w + 10; a = i + 2; e = x + 12; w = z + 15; l = e + 10; i = z + 18; p = l + 8; x = a + 18; b = u + 10; v = b + 20; u = t + 17; z = 4; t = q + 3. Given that z = 4, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"s": "h + 16", "j": "s + 17", "b": "j + 20", "d": "b + 8", "a": "d + 1", "z": "a + 5", "f": "h + 3", "k": "f + 14", "y": "k + 2", "x": "y + 9", "v": "x + 13", "e": "v + 7", "h": 20}, "premises": {"h": 20}, "target": "z"}, "answer": {"steps": [["a", "d + 1", "d + 6"], ["d", "b + 8", "b + 14"], ["b", "j + 20", "j + 34"], ["j", "s + 17", "s + 51"], ["s", "h + 16", "h + 67"], ["h", 20, "87"]], "target_var_name": "z", "target_value": 87, "value_dict": {"h": 20}, "is_reverse": true}}
| 24,942
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = 20; j = s + 17; e = v + 7; s = h + 16; v = x + 13; b = j + 20; k = f + 14; d = b + 8; z = a + 5; y = k + 2; a = d + 1; x = y + 9; f = h + 3. If h = 20, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 1 to z, which gives z = d + 6.\n2. Substitute d = b + 8 to z, which gives z = b + 14.\n3. Substitute b = j + 20 to z, which gives z = j + 34.\n4. Substitute j = s + 17 to z, which gives z = s + 51.\n5. Substitute s = h + 16 to z, which gives z = h + 67.\n6. Substitute h = 20 to z, which gives z = 87.\n\nThus, the final answer is z = \\boxed{87}.",
"index": 24942,
"question": "Consider a system of variables where each variable is defined as follows: h = 20; j = s + 17; e = v + 7; s = h + 16; v = x + 13; b = j + 20; k = f + 14; d = b + 8; z = a + 5; y = k + 2; a = d + 1; x = y + 9; f = h + 3. If h = 20, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"l": "n + 13", "t": "l + 10", "s": "t + 8", "q": "s + 2", "j": "q + 1", "k": "j + 8", "b": "n + 17", "m": "b + 10", "g": "m + 14", "p": "g + 12", "z": "p + 18", "v": "z + 16", "n": 20}, "premises": {"n": 20}, "target": "k"}, "answer": {"steps": [["j", "q + 1", "q + 9"], ["q", "s + 2", "s + 11"], ["s", "t + 8", "t + 19"], ["t", "l + 10", "l + 29"], ["l", "n + 13", "n + 42"], ["n", 20, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"n": 20}, "is_reverse": true}}
| 24,943
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = g + 12; k = j + 8; l = n + 13; j = q + 1; n = 20; v = z + 16; g = m + 14; t = l + 10; q = s + 2; b = n + 17; s = t + 8; z = p + 18; m = b + 10. Given that n = 20, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 1 to k, which gives k = q + 9.\n2. Substitute q = s + 2 to k, which gives k = s + 11.\n3. Substitute s = t + 8 to k, which gives k = t + 19.\n4. Substitute t = l + 10 to k, which gives k = l + 29.\n5. Substitute l = n + 13 to k, which gives k = n + 42.\n6. Substitute n = 20 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 24943,
"question": "Suppose a collection of variables is related by the following definitions: p = g + 12; k = j + 8; l = n + 13; j = q + 1; n = 20; v = z + 16; g = m + 14; t = l + 10; q = s + 2; b = n + 17; s = t + 8; z = p + 18; m = b + 10. Given that n = 20, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"z": "w + 7", "u": "z + 18", "i": "u + 6", "f": "i + 16", "s": "f + 20", "g": "s + 2", "b": "w + 18", "n": "b + 4", "h": "n + 3", "v": "h + 10", "j": "v + 16", "k": "j + 3", "w": 16}, "premises": {"w": 16}, "target": "g"}, "answer": {"steps": [["s", "f + 20", "f + 22"], ["f", "i + 16", "i + 38"], ["i", "u + 6", "u + 44"], ["u", "z + 18", "z + 62"], ["z", "w + 7", "w + 69"], ["w", 16, "85"]], "target_var_name": "g", "target_value": 85, "value_dict": {"w": 16}, "is_reverse": true}}
| 24,944
| 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 = w + 7; f = i + 16; j = v + 16; i = u + 6; u = z + 18; k = j + 3; n = b + 4; h = n + 3; w = 16; b = w + 18; s = f + 20; g = s + 2; v = h + 10. If w = 16, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 20 to g, which gives g = f + 22.\n2. Substitute f = i + 16 to g, which gives g = i + 38.\n3. Substitute i = u + 6 to g, which gives g = u + 44.\n4. Substitute u = z + 18 to g, which gives g = z + 62.\n5. Substitute z = w + 7 to g, which gives g = w + 69.\n6. Substitute w = 16 to g, which gives g = 85.\n\nThus, the final answer is g = \\boxed{85}.",
"index": 24944,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 7; f = i + 16; j = v + 16; i = u + 6; u = z + 18; k = j + 3; n = b + 4; h = n + 3; w = 16; b = w + 18; s = f + 20; g = s + 2; v = h + 10. If w = 16, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"c": "n + 1", "m": "c + 8", "h": "m + 9", "e": "h + 2", "i": "e + 19", "k": "i + 19", "s": "n + 8", "t": "s + 6", "a": "t + 16", "b": "a + 6", "j": "b + 1", "f": "j + 9", "n": 14}, "premises": {"n": 14}, "target": "k"}, "answer": {"steps": [["i", "e + 19", "e + 38"], ["e", "h + 2", "h + 40"], ["h", "m + 9", "m + 49"], ["m", "c + 8", "c + 57"], ["c", "n + 1", "n + 58"], ["n", 14, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"n": 14}, "is_reverse": true}}
| 24,945
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = t + 16; c = n + 1; j = b + 1; t = s + 6; e = h + 2; i = e + 19; h = m + 9; n = 14; k = i + 19; f = j + 9; b = a + 6; m = c + 8; s = n + 8. Given that n = 14, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 19 to k, which gives k = e + 38.\n2. Substitute e = h + 2 to k, which gives k = h + 40.\n3. Substitute h = m + 9 to k, which gives k = m + 49.\n4. Substitute m = c + 8 to k, which gives k = c + 57.\n5. Substitute c = n + 1 to k, which gives k = n + 58.\n6. Substitute n = 14 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 24945,
"question": "Suppose a collection of variables is related by the following definitions: a = t + 16; c = n + 1; j = b + 1; t = s + 6; e = h + 2; i = e + 19; h = m + 9; n = 14; k = i + 19; f = j + 9; b = a + 6; m = c + 8; s = n + 8. Given that n = 14, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"u": "q + 18", "m": "u + 4", "i": "m + 2", "g": "i + 9", "y": "g + 20", "o": "y + 19", "s": "q + 15", "x": "s + 12", "c": "x + 1", "a": "c + 3", "l": "a + 13", "r": "l + 12", "q": 1}, "premises": {"q": 1}, "target": "o"}, "answer": {"steps": [["y", "g + 20", "g + 39"], ["g", "i + 9", "i + 48"], ["i", "m + 2", "m + 50"], ["m", "u + 4", "u + 54"], ["u", "q + 18", "q + 72"], ["q", 1, "73"]], "target_var_name": "o", "target_value": 73, "value_dict": {"q": 1}, "is_reverse": true}}
| 24,946
| 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 + 15; c = x + 1; l = a + 13; u = q + 18; x = s + 12; i = m + 2; g = i + 9; a = c + 3; y = g + 20; m = u + 4; o = y + 19; q = 1; r = l + 12. If q = 1, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 20 to o, which gives o = g + 39.\n2. Substitute g = i + 9 to o, which gives o = i + 48.\n3. Substitute i = m + 2 to o, which gives o = m + 50.\n4. Substitute m = u + 4 to o, which gives o = u + 54.\n5. Substitute u = q + 18 to o, which gives o = q + 72.\n6. Substitute q = 1 to o, which gives o = 73.\n\nThus, the final answer is o = \\boxed{73}.",
"index": 24946,
"question": "Consider a system of variables where each variable is defined as follows: s = q + 15; c = x + 1; l = a + 13; u = q + 18; x = s + 12; i = m + 2; g = i + 9; a = c + 3; y = g + 20; m = u + 4; o = y + 19; q = 1; r = l + 12. If q = 1, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"p": "b + 20", "m": "p + 12", "j": "m + 10", "k": "j + 4", "o": "k + 12", "t": "o + 12", "l": "b + 16", "f": "l + 7", "q": "f + 6", "e": "q + 3", "a": "e + 4", "s": "a + 19", "b": 11}, "premises": {"b": 11}, "target": "t"}, "answer": {"steps": [["o", "k + 12", "k + 24"], ["k", "j + 4", "j + 28"], ["j", "m + 10", "m + 38"], ["m", "p + 12", "p + 50"], ["p", "b + 20", "b + 70"], ["b", 11, "81"]], "target_var_name": "t", "target_value": 81, "value_dict": {"b": 11}, "is_reverse": true}}
| 24,947
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = l + 7; k = j + 4; m = p + 12; b = 11; l = b + 16; p = b + 20; a = e + 4; e = q + 3; j = m + 10; q = f + 6; o = k + 12; t = o + 12; s = a + 19. Given that b = 11, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 12 to t, which gives t = k + 24.\n2. Substitute k = j + 4 to t, which gives t = j + 28.\n3. Substitute j = m + 10 to t, which gives t = m + 38.\n4. Substitute m = p + 12 to t, which gives t = p + 50.\n5. Substitute p = b + 20 to t, which gives t = b + 70.\n6. Substitute b = 11 to t, which gives t = 81.\n\nThus, the final answer is t = \\boxed{81}.",
"index": 24947,
"question": "Suppose a collection of variables is related by the following definitions: f = l + 7; k = j + 4; m = p + 12; b = 11; l = b + 16; p = b + 20; a = e + 4; e = q + 3; j = m + 10; q = f + 6; o = k + 12; t = o + 12; s = a + 19. Given that b = 11, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"e": "i + 4", "a": "e + 19", "r": "a + 5", "l": "r + 17", "v": "l + 5", "o": "v + 12", "f": "i + 11", "c": "f + 5", "j": "c + 7", "x": "j + 8", "n": "x + 2", "t": "n + 11", "i": 1}, "premises": {"i": 1}, "target": "o"}, "answer": {"steps": [["v", "l + 5", "l + 17"], ["l", "r + 17", "r + 34"], ["r", "a + 5", "a + 39"], ["a", "e + 19", "e + 58"], ["e", "i + 4", "i + 62"], ["i", 1, "63"]], "target_var_name": "o", "target_value": 63, "value_dict": {"i": 1}, "is_reverse": true}}
| 24,948
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = j + 8; f = i + 11; r = a + 5; o = v + 12; j = c + 7; t = n + 11; v = l + 5; l = r + 17; a = e + 19; i = 1; c = f + 5; n = x + 2; e = i + 4. Given that i = 1, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 5 to o, which gives o = l + 17.\n2. Substitute l = r + 17 to o, which gives o = r + 34.\n3. Substitute r = a + 5 to o, which gives o = a + 39.\n4. Substitute a = e + 19 to o, which gives o = e + 58.\n5. Substitute e = i + 4 to o, which gives o = i + 62.\n6. Substitute i = 1 to o, which gives o = 63.\n\nThus, the final answer is o = \\boxed{63}.",
"index": 24948,
"question": "Suppose a collection of variables is related by the following definitions: x = j + 8; f = i + 11; r = a + 5; o = v + 12; j = c + 7; t = n + 11; v = l + 5; l = r + 17; a = e + 19; i = 1; c = f + 5; n = x + 2; e = i + 4. Given that i = 1, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"j": "c + 8", "q": "j + 11", "z": "q + 19", "y": "z + 15", "m": "y + 7", "l": "m + 9", "e": "c + 7", "o": "e + 20", "a": "o + 4", "s": "a + 2", "t": "s + 20", "k": "t + 12", "c": 16}, "premises": {"c": 16}, "target": "l"}, "answer": {"steps": [["m", "y + 7", "y + 16"], ["y", "z + 15", "z + 31"], ["z", "q + 19", "q + 50"], ["q", "j + 11", "j + 61"], ["j", "c + 8", "c + 69"], ["c", 16, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"c": 16}, "is_reverse": true}}
| 24,949
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = s + 20; a = o + 4; k = t + 12; y = z + 15; l = m + 9; m = y + 7; o = e + 20; c = 16; s = a + 2; e = c + 7; j = c + 8; z = q + 19; q = j + 11. Given that c = 16, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 7 to l, which gives l = y + 16.\n2. Substitute y = z + 15 to l, which gives l = z + 31.\n3. Substitute z = q + 19 to l, which gives l = q + 50.\n4. Substitute q = j + 11 to l, which gives l = j + 61.\n5. Substitute j = c + 8 to l, which gives l = c + 69.\n6. Substitute c = 16 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 24949,
"question": "Suppose a collection of variables is related by the following definitions: t = s + 20; a = o + 4; k = t + 12; y = z + 15; l = m + 9; m = y + 7; o = e + 20; c = 16; s = a + 2; e = c + 7; j = c + 8; z = q + 19; q = j + 11. Given that c = 16, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"h": "z + 2", "u": "h + 13", "b": "u + 20", "g": "b + 18", "q": "g + 9", "n": "q + 18", "l": "z + 8", "r": "l + 6", "j": "r + 8", "k": "j + 1", "w": "k + 15", "e": "w + 18", "z": 14}, "premises": {"z": 14}, "target": "n"}, "answer": {"steps": [["q", "g + 9", "g + 27"], ["g", "b + 18", "b + 45"], ["b", "u + 20", "u + 65"], ["u", "h + 13", "h + 78"], ["h", "z + 2", "z + 80"], ["z", 14, "94"]], "target_var_name": "n", "target_value": 94, "value_dict": {"z": 14}, "is_reverse": true}}
| 24,950
| 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 = k + 15; b = u + 20; e = w + 18; z = 14; n = q + 18; l = z + 8; j = r + 8; u = h + 13; k = j + 1; q = g + 9; g = b + 18; h = z + 2; r = l + 6. If z = 14, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 9 to n, which gives n = g + 27.\n2. Substitute g = b + 18 to n, which gives n = b + 45.\n3. Substitute b = u + 20 to n, which gives n = u + 65.\n4. Substitute u = h + 13 to n, which gives n = h + 78.\n5. Substitute h = z + 2 to n, which gives n = z + 80.\n6. Substitute z = 14 to n, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 24950,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 15; b = u + 20; e = w + 18; z = 14; n = q + 18; l = z + 8; j = r + 8; u = h + 13; k = j + 1; q = g + 9; g = b + 18; h = z + 2; r = l + 6. If z = 14, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"w": "x + 14", "g": "w + 1", "n": "g + 3", "a": "n + 14", "z": "a + 11", "r": "z + 20", "u": "x + 19", "e": "u + 8", "t": "e + 6", "i": "t + 7", "o": "i + 14", "s": "o + 10", "x": 9}, "premises": {"x": 9}, "target": "r"}, "answer": {"steps": [["z", "a + 11", "a + 31"], ["a", "n + 14", "n + 45"], ["n", "g + 3", "g + 48"], ["g", "w + 1", "w + 49"], ["w", "x + 14", "x + 63"], ["x", 9, "72"]], "target_var_name": "r", "target_value": 72, "value_dict": {"x": 9}, "is_reverse": true}}
| 24,951
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = u + 8; w = x + 14; a = n + 14; i = t + 7; z = a + 11; g = w + 1; r = z + 20; s = o + 10; o = i + 14; x = 9; t = e + 6; u = x + 19; n = g + 3. Given that x = 9, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 11 to r, which gives r = a + 31.\n2. Substitute a = n + 14 to r, which gives r = n + 45.\n3. Substitute n = g + 3 to r, which gives r = g + 48.\n4. Substitute g = w + 1 to r, which gives r = w + 49.\n5. Substitute w = x + 14 to r, which gives r = x + 63.\n6. Substitute x = 9 to r, which gives r = 72.\n\nThus, the final answer is r = \\boxed{72}.",
"index": 24951,
"question": "Suppose a collection of variables is related by the following definitions: e = u + 8; w = x + 14; a = n + 14; i = t + 7; z = a + 11; g = w + 1; r = z + 20; s = o + 10; o = i + 14; x = 9; t = e + 6; u = x + 19; n = g + 3. Given that x = 9, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"x": "n + 4", "i": "x + 7", "e": "i + 3", "p": "e + 17", "q": "p + 4", "l": "q + 19", "a": "n + 5", "s": "a + 14", "g": "s + 10", "f": "g + 9", "o": "f + 2", "d": "o + 18", "n": 15}, "premises": {"n": 15}, "target": "l"}, "answer": {"steps": [["q", "p + 4", "p + 23"], ["p", "e + 17", "e + 40"], ["e", "i + 3", "i + 43"], ["i", "x + 7", "x + 50"], ["x", "n + 4", "n + 54"], ["n", 15, "69"]], "target_var_name": "l", "target_value": 69, "value_dict": {"n": 15}, "is_reverse": true}}
| 24,952
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = g + 9; n = 15; g = s + 10; e = i + 3; d = o + 18; q = p + 4; l = q + 19; i = x + 7; a = n + 5; p = e + 17; x = n + 4; s = a + 14; o = f + 2. If n = 15, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 4 to l, which gives l = p + 23.\n2. Substitute p = e + 17 to l, which gives l = e + 40.\n3. Substitute e = i + 3 to l, which gives l = i + 43.\n4. Substitute i = x + 7 to l, which gives l = x + 50.\n5. Substitute x = n + 4 to l, which gives l = n + 54.\n6. Substitute n = 15 to l, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 24952,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = g + 9; n = 15; g = s + 10; e = i + 3; d = o + 18; q = p + 4; l = q + 19; i = x + 7; a = n + 5; p = e + 17; x = n + 4; s = a + 14; o = f + 2. If n = 15, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"y": "p + 13", "g": "y + 20", "h": "g + 7", "w": "h + 4", "t": "w + 19", "u": "t + 3", "v": "p + 4", "o": "v + 2", "q": "o + 8", "r": "q + 16", "m": "r + 13", "j": "m + 3", "p": 6}, "premises": {"p": 6}, "target": "u"}, "answer": {"steps": [["t", "w + 19", "w + 22"], ["w", "h + 4", "h + 26"], ["h", "g + 7", "g + 33"], ["g", "y + 20", "y + 53"], ["y", "p + 13", "p + 66"], ["p", 6, "72"]], "target_var_name": "u", "target_value": 72, "value_dict": {"p": 6}, "is_reverse": true}}
| 24,953
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = r + 13; y = p + 13; j = m + 3; v = p + 4; g = y + 20; r = q + 16; q = o + 8; t = w + 19; o = v + 2; p = 6; w = h + 4; h = g + 7; u = t + 3. If p = 6, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 19 to u, which gives u = w + 22.\n2. Substitute w = h + 4 to u, which gives u = h + 26.\n3. Substitute h = g + 7 to u, which gives u = g + 33.\n4. Substitute g = y + 20 to u, which gives u = y + 53.\n5. Substitute y = p + 13 to u, which gives u = p + 66.\n6. Substitute p = 6 to u, which gives u = 72.\n\nThus, the final answer is u = \\boxed{72}.",
"index": 24953,
"question": "Consider a system of variables where each variable is defined as follows: m = r + 13; y = p + 13; j = m + 3; v = p + 4; g = y + 20; r = q + 16; q = o + 8; t = w + 19; o = v + 2; p = 6; w = h + 4; h = g + 7; u = t + 3. If p = 6, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"p": "j + 18", "b": "p + 4", "w": "b + 19", "a": "w + 1", "g": "a + 19", "q": "g + 15", "l": "j + 18", "f": "l + 2", "r": "f + 12", "m": "r + 8", "i": "m + 13", "t": "i + 6", "j": 17}, "premises": {"j": 17}, "target": "q"}, "answer": {"steps": [["g", "a + 19", "a + 34"], ["a", "w + 1", "w + 35"], ["w", "b + 19", "b + 54"], ["b", "p + 4", "p + 58"], ["p", "j + 18", "j + 76"], ["j", 17, "93"]], "target_var_name": "q", "target_value": 93, "value_dict": {"j": 17}, "is_reverse": true}}
| 24,954
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = j + 18; t = i + 6; j = 17; q = g + 15; i = m + 13; r = f + 12; a = w + 1; w = b + 19; m = r + 8; g = a + 19; b = p + 4; f = l + 2; p = j + 18. If j = 17, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 19 to q, which gives q = a + 34.\n2. Substitute a = w + 1 to q, which gives q = w + 35.\n3. Substitute w = b + 19 to q, which gives q = b + 54.\n4. Substitute b = p + 4 to q, which gives q = p + 58.\n5. Substitute p = j + 18 to q, which gives q = j + 76.\n6. Substitute j = 17 to q, which gives q = 93.\n\nThus, the final answer is q = \\boxed{93}.",
"index": 24954,
"question": "Consider a system of variables where each variable is defined as follows: l = j + 18; t = i + 6; j = 17; q = g + 15; i = m + 13; r = f + 12; a = w + 1; w = b + 19; m = r + 8; g = a + 19; b = p + 4; f = l + 2; p = j + 18. If j = 17, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"o": "d + 5", "l": "o + 11", "b": "l + 6", "m": "b + 9", "i": "m + 4", "w": "i + 3", "y": "d + 2", "q": "y + 19", "v": "q + 19", "u": "v + 8", "p": "u + 1", "h": "p + 14", "d": 10}, "premises": {"d": 10}, "target": "w"}, "answer": {"steps": [["i", "m + 4", "m + 7"], ["m", "b + 9", "b + 16"], ["b", "l + 6", "l + 22"], ["l", "o + 11", "o + 33"], ["o", "d + 5", "d + 38"], ["d", 10, "48"]], "target_var_name": "w", "target_value": 48, "value_dict": {"d": 10}, "is_reverse": true}}
| 24,955
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = v + 8; o = d + 5; l = o + 11; m = b + 9; b = l + 6; q = y + 19; d = 10; i = m + 4; y = d + 2; w = i + 3; p = u + 1; h = p + 14; v = q + 19. Given that d = 10, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 4 to w, which gives w = m + 7.\n2. Substitute m = b + 9 to w, which gives w = b + 16.\n3. Substitute b = l + 6 to w, which gives w = l + 22.\n4. Substitute l = o + 11 to w, which gives w = o + 33.\n5. Substitute o = d + 5 to w, which gives w = d + 38.\n6. Substitute d = 10 to w, which gives w = 48.\n\nThus, the final answer is w = \\boxed{48}.",
"index": 24955,
"question": "Suppose a collection of variables is related by the following definitions: u = v + 8; o = d + 5; l = o + 11; m = b + 9; b = l + 6; q = y + 19; d = 10; i = m + 4; y = d + 2; w = i + 3; p = u + 1; h = p + 14; v = q + 19. Given that d = 10, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"o": "m + 15", "t": "o + 16", "d": "t + 2", "f": "d + 5", "p": "f + 14", "q": "p + 2", "i": "m + 6", "w": "i + 4", "z": "w + 12", "r": "z + 5", "v": "r + 18", "g": "v + 3", "m": 13}, "premises": {"m": 13}, "target": "q"}, "answer": {"steps": [["p", "f + 14", "f + 16"], ["f", "d + 5", "d + 21"], ["d", "t + 2", "t + 23"], ["t", "o + 16", "o + 39"], ["o", "m + 15", "m + 54"], ["m", 13, "67"]], "target_var_name": "q", "target_value": 67, "value_dict": {"m": 13}, "is_reverse": true}}
| 24,956
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = 13; v = r + 18; o = m + 15; z = w + 12; t = o + 16; w = i + 4; q = p + 2; f = d + 5; g = v + 3; d = t + 2; i = m + 6; r = z + 5; p = f + 14. If m = 13, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 14 to q, which gives q = f + 16.\n2. Substitute f = d + 5 to q, which gives q = d + 21.\n3. Substitute d = t + 2 to q, which gives q = t + 23.\n4. Substitute t = o + 16 to q, which gives q = o + 39.\n5. Substitute o = m + 15 to q, which gives q = m + 54.\n6. Substitute m = 13 to q, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 24956,
"question": "Consider a system of variables where each variable is defined as follows: m = 13; v = r + 18; o = m + 15; z = w + 12; t = o + 16; w = i + 4; q = p + 2; f = d + 5; g = v + 3; d = t + 2; i = m + 6; r = z + 5; p = f + 14. If m = 13, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"o": "j + 11", "f": "o + 14", "e": "f + 11", "w": "e + 8", "t": "w + 1", "b": "t + 3", "z": "j + 7", "q": "z + 5", "v": "q + 8", "y": "v + 5", "s": "y + 10", "i": "s + 16", "j": 11}, "premises": {"j": 11}, "target": "b"}, "answer": {"steps": [["t", "w + 1", "w + 4"], ["w", "e + 8", "e + 12"], ["e", "f + 11", "f + 23"], ["f", "o + 14", "o + 37"], ["o", "j + 11", "j + 48"], ["j", 11, "59"]], "target_var_name": "b", "target_value": 59, "value_dict": {"j": 11}, "is_reverse": true}}
| 24,957
| 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 = f + 11; s = y + 10; v = q + 8; o = j + 11; b = t + 3; j = 11; q = z + 5; f = o + 14; i = s + 16; z = j + 7; t = w + 1; w = e + 8; y = v + 5. If j = 11, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 1 to b, which gives b = w + 4.\n2. Substitute w = e + 8 to b, which gives b = e + 12.\n3. Substitute e = f + 11 to b, which gives b = f + 23.\n4. Substitute f = o + 14 to b, which gives b = o + 37.\n5. Substitute o = j + 11 to b, which gives b = j + 48.\n6. Substitute j = 11 to b, which gives b = 59.\n\nThus, the final answer is b = \\boxed{59}.",
"index": 24957,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 11; s = y + 10; v = q + 8; o = j + 11; b = t + 3; j = 11; q = z + 5; f = o + 14; i = s + 16; z = j + 7; t = w + 1; w = e + 8; y = v + 5. If j = 11, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"p": "m + 12", "w": "p + 14", "g": "w + 6", "k": "g + 11", "a": "k + 19", "q": "a + 8", "s": "m + 8", "x": "s + 3", "y": "x + 7", "t": "y + 13", "i": "t + 14", "l": "i + 20", "m": 9}, "premises": {"m": 9}, "target": "q"}, "answer": {"steps": [["a", "k + 19", "k + 27"], ["k", "g + 11", "g + 38"], ["g", "w + 6", "w + 44"], ["w", "p + 14", "p + 58"], ["p", "m + 12", "m + 70"], ["m", 9, "79"]], "target_var_name": "q", "target_value": 79, "value_dict": {"m": 9}, "is_reverse": true}}
| 24,958
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = t + 14; l = i + 20; s = m + 8; m = 9; y = x + 7; g = w + 6; x = s + 3; w = p + 14; k = g + 11; t = y + 13; a = k + 19; p = m + 12; q = a + 8. If m = 9, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 19 to q, which gives q = k + 27.\n2. Substitute k = g + 11 to q, which gives q = g + 38.\n3. Substitute g = w + 6 to q, which gives q = w + 44.\n4. Substitute w = p + 14 to q, which gives q = p + 58.\n5. Substitute p = m + 12 to q, which gives q = m + 70.\n6. Substitute m = 9 to q, which gives q = 79.\n\nThus, the final answer is q = \\boxed{79}.",
"index": 24958,
"question": "Consider a system of variables where each variable is defined as follows: i = t + 14; l = i + 20; s = m + 8; m = 9; y = x + 7; g = w + 6; x = s + 3; w = p + 14; k = g + 11; t = y + 13; a = k + 19; p = m + 12; q = a + 8. If m = 9, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"k": "m + 1", "f": "k + 9", "x": "f + 3", "t": "x + 17", "z": "t + 5", "v": "z + 2", "i": "m + 4", "q": "i + 8", "y": "q + 20", "r": "y + 15", "j": "r + 11", "l": "j + 7", "m": 11}, "premises": {"m": 11}, "target": "v"}, "answer": {"steps": [["z", "t + 5", "t + 7"], ["t", "x + 17", "x + 24"], ["x", "f + 3", "f + 27"], ["f", "k + 9", "k + 36"], ["k", "m + 1", "m + 37"], ["m", 11, "48"]], "target_var_name": "v", "target_value": 48, "value_dict": {"m": 11}, "is_reverse": true}}
| 24,959
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = 11; k = m + 1; l = j + 7; z = t + 5; q = i + 8; f = k + 9; y = q + 20; v = z + 2; j = r + 11; t = x + 17; r = y + 15; x = f + 3; i = m + 4. If m = 11, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 5 to v, which gives v = t + 7.\n2. Substitute t = x + 17 to v, which gives v = x + 24.\n3. Substitute x = f + 3 to v, which gives v = f + 27.\n4. Substitute f = k + 9 to v, which gives v = k + 36.\n5. Substitute k = m + 1 to v, which gives v = m + 37.\n6. Substitute m = 11 to v, which gives v = 48.\n\nThus, the final answer is v = \\boxed{48}.",
"index": 24959,
"question": "Consider a system of variables where each variable is defined as follows: m = 11; k = m + 1; l = j + 7; z = t + 5; q = i + 8; f = k + 9; y = q + 20; v = z + 2; j = r + 11; t = x + 17; r = y + 15; x = f + 3; i = m + 4. If m = 11, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"e": "u + 7", "g": "e + 3", "v": "g + 8", "d": "v + 11", "x": "d + 16", "n": "x + 18", "k": "u + 10", "c": "k + 13", "y": "c + 16", "s": "y + 20", "i": "s + 18", "w": "i + 4", "u": 12}, "premises": {"u": 12}, "target": "n"}, "answer": {"steps": [["x", "d + 16", "d + 34"], ["d", "v + 11", "v + 45"], ["v", "g + 8", "g + 53"], ["g", "e + 3", "e + 56"], ["e", "u + 7", "u + 63"], ["u", 12, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"u": 12}, "is_reverse": true}}
| 24,960
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = y + 20; w = i + 4; i = s + 18; x = d + 16; c = k + 13; u = 12; y = c + 16; n = x + 18; e = u + 7; g = e + 3; k = u + 10; d = v + 11; v = g + 8. Given that u = 12, 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 x = d + 16 to n, which gives n = d + 34.\n2. Substitute d = v + 11 to n, which gives n = v + 45.\n3. Substitute v = g + 8 to n, which gives n = g + 53.\n4. Substitute g = e + 3 to n, which gives n = e + 56.\n5. Substitute e = u + 7 to n, which gives n = u + 63.\n6. Substitute u = 12 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 24960,
"question": "Suppose a collection of variables is related by the following definitions: s = y + 20; w = i + 4; i = s + 18; x = d + 16; c = k + 13; u = 12; y = c + 16; n = x + 18; e = u + 7; g = e + 3; k = u + 10; d = v + 11; v = g + 8. Given that u = 12, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"a": "u + 15", "q": "a + 4", "p": "q + 7", "d": "p + 19", "v": "d + 17", "j": "v + 13", "n": "u + 18", "f": "n + 18", "c": "f + 10", "z": "c + 2", "w": "z + 3", "r": "w + 13", "u": 1}, "premises": {"u": 1}, "target": "j"}, "answer": {"steps": [["v", "d + 17", "d + 30"], ["d", "p + 19", "p + 49"], ["p", "q + 7", "q + 56"], ["q", "a + 4", "a + 60"], ["a", "u + 15", "u + 75"], ["u", 1, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"u": 1}, "is_reverse": true}}
| 24,961
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = w + 13; u = 1; d = p + 19; q = a + 4; z = c + 2; f = n + 18; c = f + 10; a = u + 15; p = q + 7; v = d + 17; w = z + 3; n = u + 18; j = v + 13. If u = 1, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 17 to j, which gives j = d + 30.\n2. Substitute d = p + 19 to j, which gives j = p + 49.\n3. Substitute p = q + 7 to j, which gives j = q + 56.\n4. Substitute q = a + 4 to j, which gives j = a + 60.\n5. Substitute a = u + 15 to j, which gives j = u + 75.\n6. Substitute u = 1 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 24961,
"question": "Consider a system of variables where each variable is defined as follows: r = w + 13; u = 1; d = p + 19; q = a + 4; z = c + 2; f = n + 18; c = f + 10; a = u + 15; p = q + 7; v = d + 17; w = z + 3; n = u + 18; j = v + 13. If u = 1, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"w": "h + 2", "s": "w + 20", "l": "s + 17", "d": "l + 16", "q": "d + 1", "i": "q + 9", "p": "h + 11", "r": "p + 6", "z": "r + 18", "n": "z + 5", "j": "n + 6", "m": "j + 20", "h": 17}, "premises": {"h": 17}, "target": "i"}, "answer": {"steps": [["q", "d + 1", "d + 10"], ["d", "l + 16", "l + 26"], ["l", "s + 17", "s + 43"], ["s", "w + 20", "w + 63"], ["w", "h + 2", "h + 65"], ["h", 17, "82"]], "target_var_name": "i", "target_value": 82, "value_dict": {"h": 17}, "is_reverse": true}}
| 24,962
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = s + 17; d = l + 16; j = n + 6; r = p + 6; z = r + 18; q = d + 1; s = w + 20; p = h + 11; i = q + 9; h = 17; w = h + 2; n = z + 5; m = j + 20. Given that h = 17, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 1 to i, which gives i = d + 10.\n2. Substitute d = l + 16 to i, which gives i = l + 26.\n3. Substitute l = s + 17 to i, which gives i = s + 43.\n4. Substitute s = w + 20 to i, which gives i = w + 63.\n5. Substitute w = h + 2 to i, which gives i = h + 65.\n6. Substitute h = 17 to i, which gives i = 82.\n\nThus, the final answer is i = \\boxed{82}.",
"index": 24962,
"question": "Suppose a collection of variables is related by the following definitions: l = s + 17; d = l + 16; j = n + 6; r = p + 6; z = r + 18; q = d + 1; s = w + 20; p = h + 11; i = q + 9; h = 17; w = h + 2; n = z + 5; m = j + 20. Given that h = 17, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"p": "i + 14", "u": "p + 2", "h": "u + 20", "k": "h + 16", "z": "k + 18", "g": "z + 2", "s": "i + 17", "f": "s + 20", "t": "f + 18", "b": "t + 12", "d": "b + 10", "a": "d + 16", "i": 17}, "premises": {"i": 17}, "target": "g"}, "answer": {"steps": [["z", "k + 18", "k + 20"], ["k", "h + 16", "h + 36"], ["h", "u + 20", "u + 56"], ["u", "p + 2", "p + 58"], ["p", "i + 14", "i + 72"], ["i", 17, "89"]], "target_var_name": "g", "target_value": 89, "value_dict": {"i": 17}, "is_reverse": true}}
| 24,963
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = f + 18; z = k + 18; h = u + 20; u = p + 2; d = b + 10; f = s + 20; a = d + 16; g = z + 2; b = t + 12; p = i + 14; k = h + 16; i = 17; s = i + 17. Given that i = 17, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 18 to g, which gives g = k + 20.\n2. Substitute k = h + 16 to g, which gives g = h + 36.\n3. Substitute h = u + 20 to g, which gives g = u + 56.\n4. Substitute u = p + 2 to g, which gives g = p + 58.\n5. Substitute p = i + 14 to g, which gives g = i + 72.\n6. Substitute i = 17 to g, which gives g = 89.\n\nThus, the final answer is g = \\boxed{89}.",
"index": 24963,
"question": "Suppose a collection of variables is related by the following definitions: t = f + 18; z = k + 18; h = u + 20; u = p + 2; d = b + 10; f = s + 20; a = d + 16; g = z + 2; b = t + 12; p = i + 14; k = h + 16; i = 17; s = i + 17. Given that i = 17, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"y": "z + 9", "g": "y + 5", "m": "g + 14", "w": "m + 1", "x": "w + 12", "a": "x + 1", "p": "z + 4", "k": "p + 14", "r": "k + 8", "n": "r + 16", "v": "n + 14", "f": "v + 14", "z": 11}, "premises": {"z": 11}, "target": "a"}, "answer": {"steps": [["x", "w + 12", "w + 13"], ["w", "m + 1", "m + 14"], ["m", "g + 14", "g + 28"], ["g", "y + 5", "y + 33"], ["y", "z + 9", "z + 42"], ["z", 11, "53"]], "target_var_name": "a", "target_value": 53, "value_dict": {"z": 11}, "is_reverse": true}}
| 24,964
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = y + 5; y = z + 9; v = n + 14; p = z + 4; m = g + 14; w = m + 1; z = 11; a = x + 1; n = r + 16; r = k + 8; x = w + 12; k = p + 14; f = v + 14. If z = 11, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 12 to a, which gives a = w + 13.\n2. Substitute w = m + 1 to a, which gives a = m + 14.\n3. Substitute m = g + 14 to a, which gives a = g + 28.\n4. Substitute g = y + 5 to a, which gives a = y + 33.\n5. Substitute y = z + 9 to a, which gives a = z + 42.\n6. Substitute z = 11 to a, which gives a = 53.\n\nThus, the final answer is a = \\boxed{53}.",
"index": 24964,
"question": "Consider a system of variables where each variable is defined as follows: g = y + 5; y = z + 9; v = n + 14; p = z + 4; m = g + 14; w = m + 1; z = 11; a = x + 1; n = r + 16; r = k + 8; x = w + 12; k = p + 14; f = v + 14. If z = 11, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"m": "w + 16", "p": "m + 18", "s": "p + 7", "r": "s + 1", "t": "r + 20", "v": "t + 13", "n": "w + 5", "x": "n + 5", "e": "x + 9", "o": "e + 6", "z": "o + 8", "i": "z + 11", "w": 8}, "premises": {"w": 8}, "target": "v"}, "answer": {"steps": [["t", "r + 20", "r + 33"], ["r", "s + 1", "s + 34"], ["s", "p + 7", "p + 41"], ["p", "m + 18", "m + 59"], ["m", "w + 16", "w + 75"], ["w", 8, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"w": 8}, "is_reverse": true}}
| 24,965
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = z + 11; m = w + 16; w = 8; t = r + 20; e = x + 9; p = m + 18; s = p + 7; n = w + 5; v = t + 13; o = e + 6; z = o + 8; x = n + 5; r = s + 1. Given that w = 8, find the 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 t = r + 20 to v, which gives v = r + 33.\n2. Substitute r = s + 1 to v, which gives v = s + 34.\n3. Substitute s = p + 7 to v, which gives v = p + 41.\n4. Substitute p = m + 18 to v, which gives v = m + 59.\n5. Substitute m = w + 16 to v, which gives v = w + 75.\n6. Substitute w = 8 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 24965,
"question": "Suppose a collection of variables is related by the following definitions: i = z + 11; m = w + 16; w = 8; t = r + 20; e = x + 9; p = m + 18; s = p + 7; n = w + 5; v = t + 13; o = e + 6; z = o + 8; x = n + 5; r = s + 1. Given that w = 8, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"p": "j + 16", "a": "p + 2", "y": "a + 4", "s": "y + 3", "b": "s + 9", "u": "b + 13", "z": "j + 11", "l": "z + 17", "g": "l + 5", "e": "g + 19", "q": "e + 9", "x": "q + 18", "j": 17}, "premises": {"j": 17}, "target": "u"}, "answer": {"steps": [["b", "s + 9", "s + 22"], ["s", "y + 3", "y + 25"], ["y", "a + 4", "a + 29"], ["a", "p + 2", "p + 31"], ["p", "j + 16", "j + 47"], ["j", 17, "64"]], "target_var_name": "u", "target_value": 64, "value_dict": {"j": 17}, "is_reverse": true}}
| 24,966
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = a + 4; x = q + 18; j = 17; s = y + 3; l = z + 17; u = b + 13; g = l + 5; e = g + 19; a = p + 2; p = j + 16; b = s + 9; q = e + 9; z = j + 11. If j = 17, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 9 to u, which gives u = s + 22.\n2. Substitute s = y + 3 to u, which gives u = y + 25.\n3. Substitute y = a + 4 to u, which gives u = a + 29.\n4. Substitute a = p + 2 to u, which gives u = p + 31.\n5. Substitute p = j + 16 to u, which gives u = j + 47.\n6. Substitute j = 17 to u, which gives u = 64.\n\nThus, the final answer is u = \\boxed{64}.",
"index": 24966,
"question": "Consider a system of variables where each variable is defined as follows: y = a + 4; x = q + 18; j = 17; s = y + 3; l = z + 17; u = b + 13; g = l + 5; e = g + 19; a = p + 2; p = j + 16; b = s + 9; q = e + 9; z = j + 11. If j = 17, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"x": "d + 11", "e": "x + 18", "t": "e + 7", "v": "t + 19", "o": "v + 16", "p": "o + 5", "m": "d + 6", "g": "m + 12", "h": "g + 8", "j": "h + 14", "s": "j + 10", "l": "s + 7", "d": 10}, "premises": {"d": 10}, "target": "p"}, "answer": {"steps": [["o", "v + 16", "v + 21"], ["v", "t + 19", "t + 40"], ["t", "e + 7", "e + 47"], ["e", "x + 18", "x + 65"], ["x", "d + 11", "d + 76"], ["d", 10, "86"]], "target_var_name": "p", "target_value": 86, "value_dict": {"d": 10}, "is_reverse": true}}
| 24,967
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = t + 19; h = g + 8; s = j + 10; t = e + 7; e = x + 18; l = s + 7; x = d + 11; j = h + 14; m = d + 6; o = v + 16; d = 10; p = o + 5; g = m + 12. If d = 10, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 16 to p, which gives p = v + 21.\n2. Substitute v = t + 19 to p, which gives p = t + 40.\n3. Substitute t = e + 7 to p, which gives p = e + 47.\n4. Substitute e = x + 18 to p, which gives p = x + 65.\n5. Substitute x = d + 11 to p, which gives p = d + 76.\n6. Substitute d = 10 to p, which gives p = 86.\n\nThus, the final answer is p = \\boxed{86}.",
"index": 24967,
"question": "Consider a system of variables where each variable is defined as follows: v = t + 19; h = g + 8; s = j + 10; t = e + 7; e = x + 18; l = s + 7; x = d + 11; j = h + 14; m = d + 6; o = v + 16; d = 10; p = o + 5; g = m + 12. If d = 10, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"x": "k + 8", "u": "x + 7", "p": "u + 16", "c": "p + 12", "z": "c + 9", "f": "z + 18", "v": "k + 5", "i": "v + 4", "h": "i + 8", "r": "h + 6", "s": "r + 13", "e": "s + 8", "k": 5}, "premises": {"k": 5}, "target": "f"}, "answer": {"steps": [["z", "c + 9", "c + 27"], ["c", "p + 12", "p + 39"], ["p", "u + 16", "u + 55"], ["u", "x + 7", "x + 62"], ["x", "k + 8", "k + 70"], ["k", 5, "75"]], "target_var_name": "f", "target_value": 75, "value_dict": {"k": 5}, "is_reverse": true}}
| 24,968
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = 5; h = i + 8; e = s + 8; f = z + 18; s = r + 13; z = c + 9; i = v + 4; p = u + 16; u = x + 7; v = k + 5; x = k + 8; c = p + 12; r = h + 6. If k = 5, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 9 to f, which gives f = c + 27.\n2. Substitute c = p + 12 to f, which gives f = p + 39.\n3. Substitute p = u + 16 to f, which gives f = u + 55.\n4. Substitute u = x + 7 to f, which gives f = x + 62.\n5. Substitute x = k + 8 to f, which gives f = k + 70.\n6. Substitute k = 5 to f, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 24968,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = 5; h = i + 8; e = s + 8; f = z + 18; s = r + 13; z = c + 9; i = v + 4; p = u + 16; u = x + 7; v = k + 5; x = k + 8; c = p + 12; r = h + 6. If k = 5, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"j": "q + 8", "m": "j + 1", "l": "m + 8", "x": "l + 13", "s": "x + 12", "y": "s + 4", "z": "q + 6", "c": "z + 16", "t": "c + 6", "u": "t + 18", "k": "u + 9", "g": "k + 1", "q": 4}, "premises": {"q": 4}, "target": "y"}, "answer": {"steps": [["s", "x + 12", "x + 16"], ["x", "l + 13", "l + 29"], ["l", "m + 8", "m + 37"], ["m", "j + 1", "j + 38"], ["j", "q + 8", "q + 46"], ["q", 4, "50"]], "target_var_name": "y", "target_value": 50, "value_dict": {"q": 4}, "is_reverse": true}}
| 24,969
| 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 = z + 16; y = s + 4; s = x + 12; t = c + 6; j = q + 8; z = q + 6; m = j + 1; u = t + 18; g = k + 1; q = 4; l = m + 8; k = u + 9; x = l + 13. If q = 4, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 12 to y, which gives y = x + 16.\n2. Substitute x = l + 13 to y, which gives y = l + 29.\n3. Substitute l = m + 8 to y, which gives y = m + 37.\n4. Substitute m = j + 1 to y, which gives y = j + 38.\n5. Substitute j = q + 8 to y, which gives y = q + 46.\n6. Substitute q = 4 to y, which gives y = 50.\n\nThus, the final answer is y = \\boxed{50}.",
"index": 24969,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 16; y = s + 4; s = x + 12; t = c + 6; j = q + 8; z = q + 6; m = j + 1; u = t + 18; g = k + 1; q = 4; l = m + 8; k = u + 9; x = l + 13. If q = 4, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"z": "e + 9", "n": "z + 13", "w": "n + 20", "u": "w + 9", "m": "u + 17", "h": "m + 4", "o": "e + 9", "r": "o + 10", "g": "r + 5", "f": "g + 20", "c": "f + 18", "p": "c + 6", "e": 7}, "premises": {"e": 7}, "target": "h"}, "answer": {"steps": [["m", "u + 17", "u + 21"], ["u", "w + 9", "w + 30"], ["w", "n + 20", "n + 50"], ["n", "z + 13", "z + 63"], ["z", "e + 9", "e + 72"], ["e", 7, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"e": 7}, "is_reverse": true}}
| 24,970
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = c + 6; z = e + 9; c = f + 18; n = z + 13; o = e + 9; f = g + 20; u = w + 9; w = n + 20; e = 7; m = u + 17; h = m + 4; r = o + 10; g = r + 5. Given that e = 7, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 17 to h, which gives h = u + 21.\n2. Substitute u = w + 9 to h, which gives h = w + 30.\n3. Substitute w = n + 20 to h, which gives h = n + 50.\n4. Substitute n = z + 13 to h, which gives h = z + 63.\n5. Substitute z = e + 9 to h, which gives h = e + 72.\n6. Substitute e = 7 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 24970,
"question": "Suppose a collection of variables is related by the following definitions: p = c + 6; z = e + 9; c = f + 18; n = z + 13; o = e + 9; f = g + 20; u = w + 9; w = n + 20; e = 7; m = u + 17; h = m + 4; r = o + 10; g = r + 5. Given that e = 7, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"a": "o + 19", "j": "a + 8", "w": "j + 12", "k": "w + 14", "d": "k + 14", "g": "d + 7", "m": "o + 8", "b": "m + 12", "r": "b + 7", "i": "r + 1", "c": "i + 5", "l": "c + 12", "o": 8}, "premises": {"o": 8}, "target": "g"}, "answer": {"steps": [["d", "k + 14", "k + 21"], ["k", "w + 14", "w + 35"], ["w", "j + 12", "j + 47"], ["j", "a + 8", "a + 55"], ["a", "o + 19", "o + 74"], ["o", 8, "82"]], "target_var_name": "g", "target_value": 82, "value_dict": {"o": 8}, "is_reverse": true}}
| 24,971
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = a + 8; o = 8; l = c + 12; r = b + 7; m = o + 8; w = j + 12; b = m + 12; c = i + 5; k = w + 14; g = d + 7; a = o + 19; d = k + 14; i = r + 1. Given that o = 8, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 14 to g, which gives g = k + 21.\n2. Substitute k = w + 14 to g, which gives g = w + 35.\n3. Substitute w = j + 12 to g, which gives g = j + 47.\n4. Substitute j = a + 8 to g, which gives g = a + 55.\n5. Substitute a = o + 19 to g, which gives g = o + 74.\n6. Substitute o = 8 to g, which gives g = 82.\n\nThus, the final answer is g = \\boxed{82}.",
"index": 24971,
"question": "Suppose a collection of variables is related by the following definitions: j = a + 8; o = 8; l = c + 12; r = b + 7; m = o + 8; w = j + 12; b = m + 12; c = i + 5; k = w + 14; g = d + 7; a = o + 19; d = k + 14; i = r + 1. Given that o = 8, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"z": "c + 14", "o": "z + 3", "j": "o + 15", "k": "j + 5", "w": "k + 15", "t": "w + 2", "n": "c + 12", "v": "n + 17", "x": "v + 12", "s": "x + 20", "d": "s + 8", "b": "d + 16", "c": 8}, "premises": {"c": 8}, "target": "t"}, "answer": {"steps": [["w", "k + 15", "k + 17"], ["k", "j + 5", "j + 22"], ["j", "o + 15", "o + 37"], ["o", "z + 3", "z + 40"], ["z", "c + 14", "c + 54"], ["c", 8, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"c": 8}, "is_reverse": true}}
| 24,972
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = j + 5; b = d + 16; n = c + 12; c = 8; d = s + 8; w = k + 15; x = v + 12; o = z + 3; v = n + 17; s = x + 20; z = c + 14; j = o + 15; t = w + 2. If c = 8, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 15 to t, which gives t = k + 17.\n2. Substitute k = j + 5 to t, which gives t = j + 22.\n3. Substitute j = o + 15 to t, which gives t = o + 37.\n4. Substitute o = z + 3 to t, which gives t = z + 40.\n5. Substitute z = c + 14 to t, which gives t = c + 54.\n6. Substitute c = 8 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 24972,
"question": "Consider a system of variables where each variable is defined as follows: k = j + 5; b = d + 16; n = c + 12; c = 8; d = s + 8; w = k + 15; x = v + 12; o = z + 3; v = n + 17; s = x + 20; z = c + 14; j = o + 15; t = w + 2. If c = 8, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"w": "n + 10", "h": "w + 14", "c": "h + 18", "t": "c + 13", "v": "t + 18", "g": "v + 20", "o": "n + 1", "r": "o + 8", "y": "r + 5", "p": "y + 10", "b": "p + 17", "e": "b + 7", "n": 16}, "premises": {"n": 16}, "target": "g"}, "answer": {"steps": [["v", "t + 18", "t + 38"], ["t", "c + 13", "c + 51"], ["c", "h + 18", "h + 69"], ["h", "w + 14", "w + 83"], ["w", "n + 10", "n + 93"], ["n", 16, "109"]], "target_var_name": "g", "target_value": 109, "value_dict": {"n": 16}, "is_reverse": true}}
| 24,973
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = n + 10; o = n + 1; v = t + 18; h = w + 14; p = y + 10; y = r + 5; n = 16; e = b + 7; r = o + 8; b = p + 17; t = c + 13; g = v + 20; c = h + 18. Given that n = 16, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 109,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 18 to g, which gives g = t + 38.\n2. Substitute t = c + 13 to g, which gives g = c + 51.\n3. Substitute c = h + 18 to g, which gives g = h + 69.\n4. Substitute h = w + 14 to g, which gives g = w + 83.\n5. Substitute w = n + 10 to g, which gives g = n + 93.\n6. Substitute n = 16 to g, which gives g = 109.\n\nThus, the final answer is g = \\boxed{109}.",
"index": 24973,
"question": "Suppose a collection of variables is related by the following definitions: w = n + 10; o = n + 1; v = t + 18; h = w + 14; p = y + 10; y = r + 5; n = 16; e = b + 7; r = o + 8; b = p + 17; t = c + 13; g = v + 20; c = h + 18. Given that n = 16, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"b": "p + 4", "c": "b + 4", "z": "c + 16", "f": "z + 11", "j": "f + 20", "w": "j + 12", "t": "p + 11", "x": "t + 4", "e": "x + 3", "d": "e + 18", "i": "d + 17", "q": "i + 10", "p": 15}, "premises": {"p": 15}, "target": "w"}, "answer": {"steps": [["j", "f + 20", "f + 32"], ["f", "z + 11", "z + 43"], ["z", "c + 16", "c + 59"], ["c", "b + 4", "b + 63"], ["b", "p + 4", "p + 67"], ["p", 15, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"p": 15}, "is_reverse": true}}
| 24,974
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = b + 4; x = t + 4; j = f + 20; w = j + 12; f = z + 11; z = c + 16; e = x + 3; p = 15; i = d + 17; d = e + 18; b = p + 4; t = p + 11; q = i + 10. If p = 15, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 20 to w, which gives w = f + 32.\n2. Substitute f = z + 11 to w, which gives w = z + 43.\n3. Substitute z = c + 16 to w, which gives w = c + 59.\n4. Substitute c = b + 4 to w, which gives w = b + 63.\n5. Substitute b = p + 4 to w, which gives w = p + 67.\n6. Substitute p = 15 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 24974,
"question": "Consider a system of variables where each variable is defined as follows: c = b + 4; x = t + 4; j = f + 20; w = j + 12; f = z + 11; z = c + 16; e = x + 3; p = 15; i = d + 17; d = e + 18; b = p + 4; t = p + 11; q = i + 10. If p = 15, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"e": "t + 2", "n": "e + 5", "m": "n + 16", "b": "m + 4", "v": "b + 9", "f": "v + 1", "r": "t + 14", "p": "r + 4", "j": "p + 2", "y": "j + 1", "u": "y + 20", "w": "u + 1", "t": 12}, "premises": {"t": 12}, "target": "f"}, "answer": {"steps": [["v", "b + 9", "b + 10"], ["b", "m + 4", "m + 14"], ["m", "n + 16", "n + 30"], ["n", "e + 5", "e + 35"], ["e", "t + 2", "t + 37"], ["t", 12, "49"]], "target_var_name": "f", "target_value": 49, "value_dict": {"t": 12}, "is_reverse": true}}
| 24,975
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = y + 20; r = t + 14; y = j + 1; b = m + 4; j = p + 2; e = t + 2; m = n + 16; p = r + 4; f = v + 1; n = e + 5; t = 12; w = u + 1; v = b + 9. Given that t = 12, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 9 to f, which gives f = b + 10.\n2. Substitute b = m + 4 to f, which gives f = m + 14.\n3. Substitute m = n + 16 to f, which gives f = n + 30.\n4. Substitute n = e + 5 to f, which gives f = e + 35.\n5. Substitute e = t + 2 to f, which gives f = t + 37.\n6. Substitute t = 12 to f, which gives f = 49.\n\nThus, the final answer is f = \\boxed{49}.",
"index": 24975,
"question": "Suppose a collection of variables is related by the following definitions: u = y + 20; r = t + 14; y = j + 1; b = m + 4; j = p + 2; e = t + 2; m = n + 16; p = r + 4; f = v + 1; n = e + 5; t = 12; w = u + 1; v = b + 9. Given that t = 12, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"n": "l + 2", "x": "n + 15", "w": "x + 18", "m": "w + 13", "k": "m + 6", "r": "k + 12", "t": "l + 19", "y": "t + 18", "v": "y + 20", "u": "v + 16", "c": "u + 15", "a": "c + 20", "l": 8}, "premises": {"l": 8}, "target": "r"}, "answer": {"steps": [["k", "m + 6", "m + 18"], ["m", "w + 13", "w + 31"], ["w", "x + 18", "x + 49"], ["x", "n + 15", "n + 64"], ["n", "l + 2", "l + 66"], ["l", 8, "74"]], "target_var_name": "r", "target_value": 74, "value_dict": {"l": 8}, "is_reverse": true}}
| 24,976
| 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 = k + 12; x = n + 15; k = m + 6; w = x + 18; u = v + 16; m = w + 13; a = c + 20; y = t + 18; t = l + 19; c = u + 15; n = l + 2; v = y + 20; l = 8. If l = 8, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 6 to r, which gives r = m + 18.\n2. Substitute m = w + 13 to r, which gives r = w + 31.\n3. Substitute w = x + 18 to r, which gives r = x + 49.\n4. Substitute x = n + 15 to r, which gives r = n + 64.\n5. Substitute n = l + 2 to r, which gives r = l + 66.\n6. Substitute l = 8 to r, which gives r = 74.\n\nThus, the final answer is r = \\boxed{74}.",
"index": 24976,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 12; x = n + 15; k = m + 6; w = x + 18; u = v + 16; m = w + 13; a = c + 20; y = t + 18; t = l + 19; c = u + 15; n = l + 2; v = y + 20; l = 8. If l = 8, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"b": "d + 4", "w": "b + 4", "c": "w + 9", "g": "c + 10", "m": "g + 16", "u": "m + 16", "o": "d + 7", "n": "o + 19", "h": "n + 4", "s": "h + 13", "x": "s + 13", "z": "x + 8", "d": 15}, "premises": {"d": 15}, "target": "u"}, "answer": {"steps": [["m", "g + 16", "g + 32"], ["g", "c + 10", "c + 42"], ["c", "w + 9", "w + 51"], ["w", "b + 4", "b + 55"], ["b", "d + 4", "d + 59"], ["d", 15, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"d": 15}, "is_reverse": true}}
| 24,977
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = g + 16; d = 15; u = m + 16; o = d + 7; b = d + 4; z = x + 8; s = h + 13; n = o + 19; c = w + 9; x = s + 13; h = n + 4; w = b + 4; g = c + 10. If d = 15, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 16 to u, which gives u = g + 32.\n2. Substitute g = c + 10 to u, which gives u = c + 42.\n3. Substitute c = w + 9 to u, which gives u = w + 51.\n4. Substitute w = b + 4 to u, which gives u = b + 55.\n5. Substitute b = d + 4 to u, which gives u = d + 59.\n6. Substitute d = 15 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 24977,
"question": "Consider a system of variables where each variable is defined as follows: m = g + 16; d = 15; u = m + 16; o = d + 7; b = d + 4; z = x + 8; s = h + 13; n = o + 19; c = w + 9; x = s + 13; h = n + 4; w = b + 4; g = c + 10. If d = 15, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"x": "h + 17", "c": "x + 12", "y": "c + 9", "a": "y + 10", "r": "a + 13", "d": "r + 14", "l": "h + 14", "j": "l + 20", "z": "j + 10", "k": "z + 20", "o": "k + 15", "q": "o + 8", "h": 7}, "premises": {"h": 7}, "target": "d"}, "answer": {"steps": [["r", "a + 13", "a + 27"], ["a", "y + 10", "y + 37"], ["y", "c + 9", "c + 46"], ["c", "x + 12", "x + 58"], ["x", "h + 17", "h + 75"], ["h", 7, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"h": 7}, "is_reverse": true}}
| 24,978
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = r + 14; z = j + 10; r = a + 13; k = z + 20; j = l + 20; q = o + 8; l = h + 14; x = h + 17; a = y + 10; c = x + 12; o = k + 15; h = 7; y = c + 9. If h = 7, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 13 to d, which gives d = a + 27.\n2. Substitute a = y + 10 to d, which gives d = y + 37.\n3. Substitute y = c + 9 to d, which gives d = c + 46.\n4. Substitute c = x + 12 to d, which gives d = x + 58.\n5. Substitute x = h + 17 to d, which gives d = h + 75.\n6. Substitute h = 7 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 24978,
"question": "Consider a system of variables where each variable is defined as follows: d = r + 14; z = j + 10; r = a + 13; k = z + 20; j = l + 20; q = o + 8; l = h + 14; x = h + 17; a = y + 10; c = x + 12; o = k + 15; h = 7; y = c + 9. If h = 7, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"s": "g + 5", "x": "s + 13", "p": "x + 18", "t": "p + 19", "h": "t + 6", "o": "h + 9", "k": "g + 3", "r": "k + 7", "m": "r + 16", "q": "m + 6", "u": "q + 9", "v": "u + 7", "g": 9}, "premises": {"g": 9}, "target": "o"}, "answer": {"steps": [["h", "t + 6", "t + 15"], ["t", "p + 19", "p + 34"], ["p", "x + 18", "x + 52"], ["x", "s + 13", "s + 65"], ["s", "g + 5", "g + 70"], ["g", 9, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"g": 9}, "is_reverse": true}}
| 24,979
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = 9; s = g + 5; k = g + 3; t = p + 19; v = u + 7; p = x + 18; h = t + 6; o = h + 9; x = s + 13; q = m + 6; m = r + 16; r = k + 7; u = q + 9. Given that g = 9, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 6 to o, which gives o = t + 15.\n2. Substitute t = p + 19 to o, which gives o = p + 34.\n3. Substitute p = x + 18 to o, which gives o = x + 52.\n4. Substitute x = s + 13 to o, which gives o = s + 65.\n5. Substitute s = g + 5 to o, which gives o = g + 70.\n6. Substitute g = 9 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 24979,
"question": "Suppose a collection of variables is related by the following definitions: g = 9; s = g + 5; k = g + 3; t = p + 19; v = u + 7; p = x + 18; h = t + 6; o = h + 9; x = s + 13; q = m + 6; m = r + 16; r = k + 7; u = q + 9. Given that g = 9, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"k": "y + 9", "m": "k + 13", "e": "m + 19", "i": "e + 7", "c": "i + 17", "a": "c + 6", "v": "y + 18", "z": "v + 18", "l": "z + 17", "p": "l + 5", "r": "p + 1", "s": "r + 4", "y": 9}, "premises": {"y": 9}, "target": "a"}, "answer": {"steps": [["c", "i + 17", "i + 23"], ["i", "e + 7", "e + 30"], ["e", "m + 19", "m + 49"], ["m", "k + 13", "k + 62"], ["k", "y + 9", "y + 71"], ["y", 9, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"y": 9}, "is_reverse": true}}
| 24,980
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = c + 6; z = v + 18; l = z + 17; s = r + 4; k = y + 9; c = i + 17; r = p + 1; y = 9; i = e + 7; e = m + 19; p = l + 5; m = k + 13; v = y + 18. If y = 9, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 17 to a, which gives a = i + 23.\n2. Substitute i = e + 7 to a, which gives a = e + 30.\n3. Substitute e = m + 19 to a, which gives a = m + 49.\n4. Substitute m = k + 13 to a, which gives a = k + 62.\n5. Substitute k = y + 9 to a, which gives a = y + 71.\n6. Substitute y = 9 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 24980,
"question": "Consider a system of variables where each variable is defined as follows: a = c + 6; z = v + 18; l = z + 17; s = r + 4; k = y + 9; c = i + 17; r = p + 1; y = 9; i = e + 7; e = m + 19; p = l + 5; m = k + 13; v = y + 18. If y = 9, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 19", "s": "c + 4", "g": "s + 2", "u": "g + 2", "f": "u + 17", "d": "f + 1", "y": "p + 10", "a": "y + 8", "i": "a + 7", "x": "i + 17", "k": "x + 12", "q": "k + 6", "p": 1}, "premises": {"p": 1}, "target": "d"}, "answer": {"steps": [["f", "u + 17", "u + 18"], ["u", "g + 2", "g + 20"], ["g", "s + 2", "s + 22"], ["s", "c + 4", "c + 26"], ["c", "p + 19", "p + 45"], ["p", 1, "46"]], "target_var_name": "d", "target_value": 46, "value_dict": {"p": 1}, "is_reverse": true}}
| 24,981
| 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 = f + 1; u = g + 2; a = y + 8; c = p + 19; q = k + 6; k = x + 12; s = c + 4; y = p + 10; p = 1; g = s + 2; x = i + 17; i = a + 7; f = u + 17. If p = 1, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 17 to d, which gives d = u + 18.\n2. Substitute u = g + 2 to d, which gives d = g + 20.\n3. Substitute g = s + 2 to d, which gives d = s + 22.\n4. Substitute s = c + 4 to d, which gives d = c + 26.\n5. Substitute c = p + 19 to d, which gives d = p + 45.\n6. Substitute p = 1 to d, which gives d = 46.\n\nThus, the final answer is d = \\boxed{46}.",
"index": 24981,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = f + 1; u = g + 2; a = y + 8; c = p + 19; q = k + 6; k = x + 12; s = c + 4; y = p + 10; p = 1; g = s + 2; x = i + 17; i = a + 7; f = u + 17. If p = 1, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"c": "y + 20", "v": "c + 17", "r": "v + 5", "n": "r + 3", "q": "n + 10", "b": "q + 1", "w": "y + 11", "t": "w + 2", "p": "t + 11", "o": "p + 18", "i": "o + 19", "k": "i + 18", "y": 7}, "premises": {"y": 7}, "target": "b"}, "answer": {"steps": [["q", "n + 10", "n + 11"], ["n", "r + 3", "r + 14"], ["r", "v + 5", "v + 19"], ["v", "c + 17", "c + 36"], ["c", "y + 20", "y + 56"], ["y", 7, "63"]], "target_var_name": "b", "target_value": 63, "value_dict": {"y": 7}, "is_reverse": true}}
| 24,982
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 10; r = v + 5; v = c + 17; t = w + 2; o = p + 18; k = i + 18; p = t + 11; b = q + 1; y = 7; w = y + 11; n = r + 3; i = o + 19; c = y + 20. If y = 7, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 10 to b, which gives b = n + 11.\n2. Substitute n = r + 3 to b, which gives b = r + 14.\n3. Substitute r = v + 5 to b, which gives b = v + 19.\n4. Substitute v = c + 17 to b, which gives b = c + 36.\n5. Substitute c = y + 20 to b, which gives b = y + 56.\n6. Substitute y = 7 to b, which gives b = 63.\n\nThus, the final answer is b = \\boxed{63}.",
"index": 24982,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 10; r = v + 5; v = c + 17; t = w + 2; o = p + 18; k = i + 18; p = t + 11; b = q + 1; y = 7; w = y + 11; n = r + 3; i = o + 19; c = y + 20. If y = 7, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"z": "b + 5", "q": "z + 20", "r": "q + 2", "v": "r + 3", "i": "v + 13", "h": "i + 20", "k": "b + 10", "l": "k + 13", "m": "l + 15", "e": "m + 20", "n": "e + 12", "g": "n + 17", "b": 9}, "premises": {"b": 9}, "target": "h"}, "answer": {"steps": [["i", "v + 13", "v + 33"], ["v", "r + 3", "r + 36"], ["r", "q + 2", "q + 38"], ["q", "z + 20", "z + 58"], ["z", "b + 5", "b + 63"], ["b", 9, "72"]], "target_var_name": "h", "target_value": 72, "value_dict": {"b": 9}, "is_reverse": true}}
| 24,983
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = z + 20; z = b + 5; e = m + 20; v = r + 3; i = v + 13; m = l + 15; k = b + 10; h = i + 20; n = e + 12; l = k + 13; r = q + 2; g = n + 17; b = 9. If b = 9, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 13 to h, which gives h = v + 33.\n2. Substitute v = r + 3 to h, which gives h = r + 36.\n3. Substitute r = q + 2 to h, which gives h = q + 38.\n4. Substitute q = z + 20 to h, which gives h = z + 58.\n5. Substitute z = b + 5 to h, which gives h = b + 63.\n6. Substitute b = 9 to h, which gives h = 72.\n\nThus, the final answer is h = \\boxed{72}.",
"index": 24983,
"question": "Consider a system of variables where each variable is defined as follows: q = z + 20; z = b + 5; e = m + 20; v = r + 3; i = v + 13; m = l + 15; k = b + 10; h = i + 20; n = e + 12; l = k + 13; r = q + 2; g = n + 17; b = 9. If b = 9, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"x": "r + 10", "o": "x + 18", "p": "o + 10", "a": "p + 4", "f": "a + 11", "s": "f + 5", "t": "r + 4", "q": "t + 8", "v": "q + 19", "d": "v + 14", "g": "d + 18", "n": "g + 19", "r": 18}, "premises": {"r": 18}, "target": "s"}, "answer": {"steps": [["f", "a + 11", "a + 16"], ["a", "p + 4", "p + 20"], ["p", "o + 10", "o + 30"], ["o", "x + 18", "x + 48"], ["x", "r + 10", "r + 58"], ["r", 18, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"r": 18}, "is_reverse": true}}
| 24,984
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = d + 18; s = f + 5; t = r + 4; q = t + 8; a = p + 4; x = r + 10; d = v + 14; f = a + 11; n = g + 19; o = x + 18; p = o + 10; r = 18; v = q + 19. If r = 18, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 11 to s, which gives s = a + 16.\n2. Substitute a = p + 4 to s, which gives s = p + 20.\n3. Substitute p = o + 10 to s, which gives s = o + 30.\n4. Substitute o = x + 18 to s, which gives s = x + 48.\n5. Substitute x = r + 10 to s, which gives s = r + 58.\n6. Substitute r = 18 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 24984,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = d + 18; s = f + 5; t = r + 4; q = t + 8; a = p + 4; x = r + 10; d = v + 14; f = a + 11; n = g + 19; o = x + 18; p = o + 10; r = 18; v = q + 19. If r = 18, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"l": "h + 14", "u": "l + 20", "r": "u + 7", "w": "r + 8", "z": "w + 19", "i": "z + 12", "j": "h + 14", "n": "j + 13", "d": "n + 3", "x": "d + 2", "e": "x + 19", "m": "e + 17", "h": 20}, "premises": {"h": 20}, "target": "i"}, "answer": {"steps": [["z", "w + 19", "w + 31"], ["w", "r + 8", "r + 39"], ["r", "u + 7", "u + 46"], ["u", "l + 20", "l + 66"], ["l", "h + 14", "h + 80"], ["h", 20, "100"]], "target_var_name": "i", "target_value": 100, "value_dict": {"h": 20}, "is_reverse": true}}
| 24,985
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = n + 3; j = h + 14; n = j + 13; w = r + 8; i = z + 12; z = w + 19; h = 20; u = l + 20; l = h + 14; m = e + 17; r = u + 7; x = d + 2; e = x + 19. If h = 20, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 19 to i, which gives i = w + 31.\n2. Substitute w = r + 8 to i, which gives i = r + 39.\n3. Substitute r = u + 7 to i, which gives i = u + 46.\n4. Substitute u = l + 20 to i, which gives i = l + 66.\n5. Substitute l = h + 14 to i, which gives i = h + 80.\n6. Substitute h = 20 to i, which gives i = 100.\n\nThus, the final answer is i = \\boxed{100}.",
"index": 24985,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = n + 3; j = h + 14; n = j + 13; w = r + 8; i = z + 12; z = w + 19; h = 20; u = l + 20; l = h + 14; m = e + 17; r = u + 7; x = d + 2; e = x + 19. If h = 20, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"e": "m + 15", "n": "e + 6", "u": "n + 15", "z": "u + 3", "a": "z + 20", "d": "a + 2", "b": "m + 15", "f": "b + 16", "w": "f + 17", "q": "w + 9", "s": "q + 2", "v": "s + 20", "m": 7}, "premises": {"m": 7}, "target": "d"}, "answer": {"steps": [["a", "z + 20", "z + 22"], ["z", "u + 3", "u + 25"], ["u", "n + 15", "n + 40"], ["n", "e + 6", "e + 46"], ["e", "m + 15", "m + 61"], ["m", 7, "68"]], "target_var_name": "d", "target_value": 68, "value_dict": {"m": 7}, "is_reverse": true}}
| 24,986
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = f + 17; s = q + 2; z = u + 3; f = b + 16; d = a + 2; m = 7; a = z + 20; b = m + 15; n = e + 6; q = w + 9; u = n + 15; e = m + 15; v = s + 20. If m = 7, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 20 to d, which gives d = z + 22.\n2. Substitute z = u + 3 to d, which gives d = u + 25.\n3. Substitute u = n + 15 to d, which gives d = n + 40.\n4. Substitute n = e + 6 to d, which gives d = e + 46.\n5. Substitute e = m + 15 to d, which gives d = m + 61.\n6. Substitute m = 7 to d, which gives d = 68.\n\nThus, the final answer is d = \\boxed{68}.",
"index": 24986,
"question": "Consider a system of variables where each variable is defined as follows: w = f + 17; s = q + 2; z = u + 3; f = b + 16; d = a + 2; m = 7; a = z + 20; b = m + 15; n = e + 6; q = w + 9; u = n + 15; e = m + 15; v = s + 20. If m = 7, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"h": "b + 18", "o": "h + 5", "v": "o + 8", "x": "v + 13", "d": "x + 10", "u": "d + 7", "z": "b + 6", "q": "z + 17", "t": "q + 3", "w": "t + 14", "k": "w + 4", "c": "k + 17", "b": 17}, "premises": {"b": 17}, "target": "u"}, "answer": {"steps": [["d", "x + 10", "x + 17"], ["x", "v + 13", "v + 30"], ["v", "o + 8", "o + 38"], ["o", "h + 5", "h + 43"], ["h", "b + 18", "b + 61"], ["b", 17, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"b": 17}, "is_reverse": true}}
| 24,987
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = h + 5; d = x + 10; k = w + 4; t = q + 3; z = b + 6; b = 17; v = o + 8; x = v + 13; q = z + 17; c = k + 17; u = d + 7; w = t + 14; h = b + 18. Given that b = 17, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = x + 10 to u, which gives u = x + 17.\n2. Substitute x = v + 13 to u, which gives u = v + 30.\n3. Substitute v = o + 8 to u, which gives u = o + 38.\n4. Substitute o = h + 5 to u, which gives u = h + 43.\n5. Substitute h = b + 18 to u, which gives u = b + 61.\n6. Substitute b = 17 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 24987,
"question": "Suppose a collection of variables is related by the following definitions: o = h + 5; d = x + 10; k = w + 4; t = q + 3; z = b + 6; b = 17; v = o + 8; x = v + 13; q = z + 17; c = k + 17; u = d + 7; w = t + 14; h = b + 18. Given that b = 17, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"w": "q + 6", "r": "w + 16", "v": "r + 6", "l": "v + 14", "f": "l + 4", "o": "f + 11", "k": "q + 4", "m": "k + 16", "c": "m + 13", "e": "c + 14", "a": "e + 14", "s": "a + 10", "q": 7}, "premises": {"q": 7}, "target": "o"}, "answer": {"steps": [["f", "l + 4", "l + 15"], ["l", "v + 14", "v + 29"], ["v", "r + 6", "r + 35"], ["r", "w + 16", "w + 51"], ["w", "q + 6", "q + 57"], ["q", 7, "64"]], "target_var_name": "o", "target_value": 64, "value_dict": {"q": 7}, "is_reverse": true}}
| 24,988
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = m + 13; f = l + 4; o = f + 11; s = a + 10; a = e + 14; l = v + 14; m = k + 16; w = q + 6; r = w + 16; v = r + 6; e = c + 14; k = q + 4; q = 7. If q = 7, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 4 to o, which gives o = l + 15.\n2. Substitute l = v + 14 to o, which gives o = v + 29.\n3. Substitute v = r + 6 to o, which gives o = r + 35.\n4. Substitute r = w + 16 to o, which gives o = w + 51.\n5. Substitute w = q + 6 to o, which gives o = q + 57.\n6. Substitute q = 7 to o, which gives o = 64.\n\nThus, the final answer is o = \\boxed{64}.",
"index": 24988,
"question": "Consider a system of variables where each variable is defined as follows: c = m + 13; f = l + 4; o = f + 11; s = a + 10; a = e + 14; l = v + 14; m = k + 16; w = q + 6; r = w + 16; v = r + 6; e = c + 14; k = q + 4; q = 7. If q = 7, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"q": "c + 2", "i": "q + 14", "y": "i + 13", "e": "y + 15", "h": "e + 11", "v": "h + 16", "n": "c + 3", "j": "n + 4", "s": "j + 15", "g": "s + 15", "x": "g + 8", "o": "x + 15", "c": 10}, "premises": {"c": 10}, "target": "v"}, "answer": {"steps": [["h", "e + 11", "e + 27"], ["e", "y + 15", "y + 42"], ["y", "i + 13", "i + 55"], ["i", "q + 14", "q + 69"], ["q", "c + 2", "c + 71"], ["c", 10, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"c": 10}, "is_reverse": true}}
| 24,989
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = s + 15; e = y + 15; h = e + 11; n = c + 3; i = q + 14; j = n + 4; s = j + 15; x = g + 8; y = i + 13; o = x + 15; c = 10; v = h + 16; q = c + 2. If c = 10, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 11 to v, which gives v = e + 27.\n2. Substitute e = y + 15 to v, which gives v = y + 42.\n3. Substitute y = i + 13 to v, which gives v = i + 55.\n4. Substitute i = q + 14 to v, which gives v = q + 69.\n5. Substitute q = c + 2 to v, which gives v = c + 71.\n6. Substitute c = 10 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 24989,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = s + 15; e = y + 15; h = e + 11; n = c + 3; i = q + 14; j = n + 4; s = j + 15; x = g + 8; y = i + 13; o = x + 15; c = 10; v = h + 16; q = c + 2. If c = 10, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"l": "a + 6", "p": "l + 20", "d": "p + 14", "b": "d + 1", "g": "b + 8", "v": "g + 15", "s": "a + 13", "u": "s + 14", "i": "u + 15", "h": "i + 12", "y": "h + 3", "m": "y + 18", "a": 4}, "premises": {"a": 4}, "target": "v"}, "answer": {"steps": [["g", "b + 8", "b + 23"], ["b", "d + 1", "d + 24"], ["d", "p + 14", "p + 38"], ["p", "l + 20", "l + 58"], ["l", "a + 6", "a + 64"], ["a", 4, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"a": 4}, "is_reverse": true}}
| 24,990
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = l + 20; g = b + 8; u = s + 14; y = h + 3; s = a + 13; d = p + 14; l = a + 6; a = 4; v = g + 15; b = d + 1; h = i + 12; i = u + 15; m = y + 18. If a = 4, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 8 to v, which gives v = b + 23.\n2. Substitute b = d + 1 to v, which gives v = d + 24.\n3. Substitute d = p + 14 to v, which gives v = p + 38.\n4. Substitute p = l + 20 to v, which gives v = l + 58.\n5. Substitute l = a + 6 to v, which gives v = a + 64.\n6. Substitute a = 4 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 24990,
"question": "Consider a system of variables where each variable is defined as follows: p = l + 20; g = b + 8; u = s + 14; y = h + 3; s = a + 13; d = p + 14; l = a + 6; a = 4; v = g + 15; b = d + 1; h = i + 12; i = u + 15; m = y + 18. If a = 4, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"c": "w + 13", "a": "c + 14", "j": "a + 18", "k": "j + 13", "x": "k + 11", "i": "x + 16", "y": "w + 17", "h": "y + 5", "e": "h + 19", "v": "e + 16", "t": "v + 16", "q": "t + 20", "w": 20}, "premises": {"w": 20}, "target": "i"}, "answer": {"steps": [["x", "k + 11", "k + 27"], ["k", "j + 13", "j + 40"], ["j", "a + 18", "a + 58"], ["a", "c + 14", "c + 72"], ["c", "w + 13", "w + 85"], ["w", 20, "105"]], "target_var_name": "i", "target_value": 105, "value_dict": {"w": 20}, "is_reverse": true}}
| 24,991
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 16; h = y + 5; x = k + 11; j = a + 18; t = v + 16; v = e + 16; a = c + 14; k = j + 13; e = h + 19; y = w + 17; w = 20; c = w + 13; q = t + 20. If w = 20, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 11 to i, which gives i = k + 27.\n2. Substitute k = j + 13 to i, which gives i = j + 40.\n3. Substitute j = a + 18 to i, which gives i = a + 58.\n4. Substitute a = c + 14 to i, which gives i = c + 72.\n5. Substitute c = w + 13 to i, which gives i = w + 85.\n6. Substitute w = 20 to i, which gives i = 105.\n\nThus, the final answer is i = \\boxed{105}.",
"index": 24991,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 16; h = y + 5; x = k + 11; j = a + 18; t = v + 16; v = e + 16; a = c + 14; k = j + 13; e = h + 19; y = w + 17; w = 20; c = w + 13; q = t + 20. If w = 20, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 7", "n": "b + 2", "r": "n + 1", "m": "r + 10", "c": "m + 10", "d": "c + 12", "k": "x + 1", "e": "k + 5", "f": "e + 12", "h": "f + 16", "j": "h + 13", "s": "j + 7", "x": 9}, "premises": {"x": 9}, "target": "d"}, "answer": {"steps": [["c", "m + 10", "m + 22"], ["m", "r + 10", "r + 32"], ["r", "n + 1", "n + 33"], ["n", "b + 2", "b + 35"], ["b", "x + 7", "x + 42"], ["x", 9, "51"]], "target_var_name": "d", "target_value": 51, "value_dict": {"x": 9}, "is_reverse": true}}
| 24,992
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 12; m = r + 10; b = x + 7; x = 9; c = m + 10; s = j + 7; n = b + 2; j = h + 13; d = c + 12; k = x + 1; r = n + 1; h = f + 16; e = k + 5. If x = 9, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 10 to d, which gives d = m + 22.\n2. Substitute m = r + 10 to d, which gives d = r + 32.\n3. Substitute r = n + 1 to d, which gives d = n + 33.\n4. Substitute n = b + 2 to d, which gives d = b + 35.\n5. Substitute b = x + 7 to d, which gives d = x + 42.\n6. Substitute x = 9 to d, which gives d = 51.\n\nThus, the final answer is d = \\boxed{51}.",
"index": 24992,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 12; m = r + 10; b = x + 7; x = 9; c = m + 10; s = j + 7; n = b + 2; j = h + 13; d = c + 12; k = x + 1; r = n + 1; h = f + 16; e = k + 5. If x = 9, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"y": "b + 19", "s": "y + 6", "u": "s + 16", "o": "u + 4", "w": "o + 15", "l": "w + 11", "j": "b + 13", "x": "j + 13", "p": "x + 18", "f": "p + 18", "d": "f + 7", "a": "d + 6", "b": 1}, "premises": {"b": 1}, "target": "l"}, "answer": {"steps": [["w", "o + 15", "o + 26"], ["o", "u + 4", "u + 30"], ["u", "s + 16", "s + 46"], ["s", "y + 6", "y + 52"], ["y", "b + 19", "b + 71"], ["b", 1, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"b": 1}, "is_reverse": true}}
| 24,993
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = b + 13; a = d + 6; f = p + 18; s = y + 6; l = w + 11; d = f + 7; w = o + 15; y = b + 19; x = j + 13; u = s + 16; b = 1; o = u + 4; p = x + 18. If b = 1, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 15 to l, which gives l = o + 26.\n2. Substitute o = u + 4 to l, which gives l = u + 30.\n3. Substitute u = s + 16 to l, which gives l = s + 46.\n4. Substitute s = y + 6 to l, which gives l = y + 52.\n5. Substitute y = b + 19 to l, which gives l = b + 71.\n6. Substitute b = 1 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 24993,
"question": "Consider a system of variables where each variable is defined as follows: j = b + 13; a = d + 6; f = p + 18; s = y + 6; l = w + 11; d = f + 7; w = o + 15; y = b + 19; x = j + 13; u = s + 16; b = 1; o = u + 4; p = x + 18. If b = 1, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"l": "q + 6", "y": "l + 8", "w": "y + 5", "t": "w + 7", "c": "t + 20", "e": "c + 16", "s": "q + 13", "n": "s + 18", "v": "n + 8", "k": "v + 2", "a": "k + 17", "h": "a + 19", "q": 11}, "premises": {"q": 11}, "target": "e"}, "answer": {"steps": [["c", "t + 20", "t + 36"], ["t", "w + 7", "w + 43"], ["w", "y + 5", "y + 48"], ["y", "l + 8", "l + 56"], ["l", "q + 6", "q + 62"], ["q", 11, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"q": 11}, "is_reverse": true}}
| 24,994
| 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 = n + 8; y = l + 8; w = y + 5; s = q + 13; c = t + 20; l = q + 6; h = a + 19; k = v + 2; e = c + 16; q = 11; n = s + 18; a = k + 17; t = w + 7. If q = 11, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 20 to e, which gives e = t + 36.\n2. Substitute t = w + 7 to e, which gives e = w + 43.\n3. Substitute w = y + 5 to e, which gives e = y + 48.\n4. Substitute y = l + 8 to e, which gives e = l + 56.\n5. Substitute l = q + 6 to e, which gives e = q + 62.\n6. Substitute q = 11 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 24994,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = n + 8; y = l + 8; w = y + 5; s = q + 13; c = t + 20; l = q + 6; h = a + 19; k = v + 2; e = c + 16; q = 11; n = s + 18; a = k + 17; t = w + 7. If q = 11, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"l": "b + 4", "m": "l + 17", "z": "m + 20", "g": "z + 17", "e": "g + 10", "r": "e + 18", "w": "b + 12", "x": "w + 7", "t": "x + 6", "j": "t + 6", "i": "j + 20", "k": "i + 17", "b": 11}, "premises": {"b": 11}, "target": "r"}, "answer": {"steps": [["e", "g + 10", "g + 28"], ["g", "z + 17", "z + 45"], ["z", "m + 20", "m + 65"], ["m", "l + 17", "l + 82"], ["l", "b + 4", "b + 86"], ["b", 11, "97"]], "target_var_name": "r", "target_value": 97, "value_dict": {"b": 11}, "is_reverse": true}}
| 24,995
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = i + 17; z = m + 20; b = 11; r = e + 18; e = g + 10; w = b + 12; j = t + 6; i = j + 20; m = l + 17; t = x + 6; x = w + 7; l = b + 4; g = z + 17. If b = 11, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 10 to r, which gives r = g + 28.\n2. Substitute g = z + 17 to r, which gives r = z + 45.\n3. Substitute z = m + 20 to r, which gives r = m + 65.\n4. Substitute m = l + 17 to r, which gives r = l + 82.\n5. Substitute l = b + 4 to r, which gives r = b + 86.\n6. Substitute b = 11 to r, which gives r = 97.\n\nThus, the final answer is r = \\boxed{97}.",
"index": 24995,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = i + 17; z = m + 20; b = 11; r = e + 18; e = g + 10; w = b + 12; j = t + 6; i = j + 20; m = l + 17; t = x + 6; x = w + 7; l = b + 4; g = z + 17. If b = 11, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"k": "l + 3", "z": "k + 7", "b": "z + 4", "e": "b + 20", "g": "e + 15", "a": "g + 6", "n": "l + 19", "p": "n + 5", "t": "p + 7", "q": "t + 11", "h": "q + 20", "o": "h + 12", "l": 15}, "premises": {"l": 15}, "target": "a"}, "answer": {"steps": [["g", "e + 15", "e + 21"], ["e", "b + 20", "b + 41"], ["b", "z + 4", "z + 45"], ["z", "k + 7", "k + 52"], ["k", "l + 3", "l + 55"], ["l", 15, "70"]], "target_var_name": "a", "target_value": 70, "value_dict": {"l": 15}, "is_reverse": true}}
| 24,996
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = g + 6; q = t + 11; k = l + 3; h = q + 20; o = h + 12; z = k + 7; g = e + 15; b = z + 4; p = n + 5; e = b + 20; n = l + 19; t = p + 7; l = 15. Given that l = 15, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 15 to a, which gives a = e + 21.\n2. Substitute e = b + 20 to a, which gives a = b + 41.\n3. Substitute b = z + 4 to a, which gives a = z + 45.\n4. Substitute z = k + 7 to a, which gives a = k + 52.\n5. Substitute k = l + 3 to a, which gives a = l + 55.\n6. Substitute l = 15 to a, which gives a = 70.\n\nThus, the final answer is a = \\boxed{70}.",
"index": 24996,
"question": "Suppose a collection of variables is related by the following definitions: a = g + 6; q = t + 11; k = l + 3; h = q + 20; o = h + 12; z = k + 7; g = e + 15; b = z + 4; p = n + 5; e = b + 20; n = l + 19; t = p + 7; l = 15. Given that l = 15, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"c": "u + 3", "s": "c + 18", "p": "s + 11", "y": "p + 17", "m": "y + 13", "g": "m + 12", "v": "u + 19", "x": "v + 13", "k": "x + 13", "l": "k + 13", "e": "l + 4", "w": "e + 6", "u": 14}, "premises": {"u": 14}, "target": "g"}, "answer": {"steps": [["m", "y + 13", "y + 25"], ["y", "p + 17", "p + 42"], ["p", "s + 11", "s + 53"], ["s", "c + 18", "c + 71"], ["c", "u + 3", "u + 74"], ["u", 14, "88"]], "target_var_name": "g", "target_value": 88, "value_dict": {"u": 14}, "is_reverse": true}}
| 24,997
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = e + 6; p = s + 11; k = x + 13; s = c + 18; u = 14; y = p + 17; g = m + 12; x = v + 13; m = y + 13; v = u + 19; l = k + 13; e = l + 4; c = u + 3. Given that u = 14, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 13 to g, which gives g = y + 25.\n2. Substitute y = p + 17 to g, which gives g = p + 42.\n3. Substitute p = s + 11 to g, which gives g = s + 53.\n4. Substitute s = c + 18 to g, which gives g = c + 71.\n5. Substitute c = u + 3 to g, which gives g = u + 74.\n6. Substitute u = 14 to g, which gives g = 88.\n\nThus, the final answer is g = \\boxed{88}.",
"index": 24997,
"question": "Suppose a collection of variables is related by the following definitions: w = e + 6; p = s + 11; k = x + 13; s = c + 18; u = 14; y = p + 17; g = m + 12; x = v + 13; m = y + 13; v = u + 19; l = k + 13; e = l + 4; c = u + 3. Given that u = 14, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 7", "z": "d + 4", "w": "z + 12", "f": "w + 20", "n": "f + 2", "q": "n + 19", "i": "c + 5", "s": "i + 6", "l": "s + 1", "t": "l + 15", "u": "t + 5", "v": "u + 4", "c": 14}, "premises": {"c": 14}, "target": "q"}, "answer": {"steps": [["n", "f + 2", "f + 21"], ["f", "w + 20", "w + 41"], ["w", "z + 12", "z + 53"], ["z", "d + 4", "d + 57"], ["d", "c + 7", "c + 64"], ["c", 14, "78"]], "target_var_name": "q", "target_value": 78, "value_dict": {"c": 14}, "is_reverse": true}}
| 24,998
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = d + 4; l = s + 1; t = l + 15; d = c + 7; u = t + 5; i = c + 5; q = n + 19; n = f + 2; f = w + 20; v = u + 4; s = i + 6; c = 14; w = z + 12. Given that c = 14, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 2 to q, which gives q = f + 21.\n2. Substitute f = w + 20 to q, which gives q = w + 41.\n3. Substitute w = z + 12 to q, which gives q = z + 53.\n4. Substitute z = d + 4 to q, which gives q = d + 57.\n5. Substitute d = c + 7 to q, which gives q = c + 64.\n6. Substitute c = 14 to q, which gives q = 78.\n\nThus, the final answer is q = \\boxed{78}.",
"index": 24998,
"question": "Suppose a collection of variables is related by the following definitions: z = d + 4; l = s + 1; t = l + 15; d = c + 7; u = t + 5; i = c + 5; q = n + 19; n = f + 2; f = w + 20; v = u + 4; s = i + 6; c = 14; w = z + 12. Given that c = 14, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"n": "a + 8", "t": "n + 7", "c": "t + 18", "x": "c + 3", "m": "x + 13", "r": "m + 17", "g": "a + 11", "j": "g + 12", "f": "j + 6", "k": "f + 8", "y": "k + 19", "e": "y + 13", "a": 4}, "premises": {"a": 4}, "target": "r"}, "answer": {"steps": [["m", "x + 13", "x + 30"], ["x", "c + 3", "c + 33"], ["c", "t + 18", "t + 51"], ["t", "n + 7", "n + 58"], ["n", "a + 8", "a + 66"], ["a", 4, "70"]], "target_var_name": "r", "target_value": 70, "value_dict": {"a": 4}, "is_reverse": true}}
| 24,999
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = x + 13; j = g + 12; k = f + 8; x = c + 3; g = a + 11; y = k + 19; a = 4; r = m + 17; c = t + 18; f = j + 6; n = a + 8; t = n + 7; e = y + 13. Given that a = 4, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 13 to r, which gives r = x + 30.\n2. Substitute x = c + 3 to r, which gives r = c + 33.\n3. Substitute c = t + 18 to r, which gives r = t + 51.\n4. Substitute t = n + 7 to r, which gives r = n + 58.\n5. Substitute n = a + 8 to r, which gives r = a + 66.\n6. Substitute a = 4 to r, which gives r = 70.\n\nThus, the final answer is r = \\boxed{70}.",
"index": 24999,
"question": "Suppose a collection of variables is related by the following definitions: m = x + 13; j = g + 12; k = f + 8; x = c + 3; g = a + 11; y = k + 19; a = 4; r = m + 17; c = t + 18; f = j + 6; n = a + 8; t = n + 7; e = y + 13. Given that a = 4, find the value of r.",
"split": "train"
}
|
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