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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": {"l": "p + 20", "t": "l + 7", "q": "t + 10", "u": "q + 8", "h": "u + 6", "x": "h + 1", "r": "p + 12", "m": "r + 11", "y": "m + 1", "i": "y + 3", "e": "i + 18", "k": "e + 16", "p": 13}, "premises": {"p": 13}, "target": "x"}, "answer": {"steps": [["h", "u + 6", "u + 7"], ["u", "q + 8", "q + 15"], ["q", "t + 10", "t + 25"], ["t", "l + 7", "l + 32"], ["l", "p + 20", "p + 52"], ["p", 13, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"p": 13}, "is_reverse": true}}
| 5,200
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = 13; t = l + 7; h = u + 6; m = r + 11; i = y + 3; r = p + 12; x = h + 1; q = t + 10; k = e + 16; l = p + 20; e = i + 18; y = m + 1; u = q + 8. If p = 13, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 6 to x, which gives x = u + 7.\n2. Substitute u = q + 8 to x, which gives x = q + 15.\n3. Substitute q = t + 10 to x, which gives x = t + 25.\n4. Substitute t = l + 7 to x, which gives x = l + 32.\n5. Substitute l = p + 20 to x, which gives x = p + 52.\n6. Substitute p = 13 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 5200,
"question": "Consider a system of variables where each variable is defined as follows: p = 13; t = l + 7; h = u + 6; m = r + 11; i = y + 3; r = p + 12; x = h + 1; q = t + 10; k = e + 16; l = p + 20; e = i + 18; y = m + 1; u = q + 8. If p = 13, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"u": "b + 15", "a": "u + 11", "l": "a + 17", "y": "l + 12", "f": "y + 16", "w": "f + 1", "e": "b + 3", "h": "e + 18", "j": "h + 4", "c": "j + 13", "p": "c + 10", "r": "p + 7", "b": 11}, "premises": {"b": 11}, "target": "w"}, "answer": {"steps": [["f", "y + 16", "y + 17"], ["y", "l + 12", "l + 29"], ["l", "a + 17", "a + 46"], ["a", "u + 11", "u + 57"], ["u", "b + 15", "b + 72"], ["b", 11, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"b": 11}, "is_reverse": true}}
| 5,201
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = a + 17; r = p + 7; y = l + 12; p = c + 10; c = j + 13; b = 11; a = u + 11; e = b + 3; u = b + 15; j = h + 4; f = y + 16; w = f + 1; h = e + 18. If b = 11, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 16 to w, which gives w = y + 17.\n2. Substitute y = l + 12 to w, which gives w = l + 29.\n3. Substitute l = a + 17 to w, which gives w = a + 46.\n4. Substitute a = u + 11 to w, which gives w = u + 57.\n5. Substitute u = b + 15 to w, which gives w = b + 72.\n6. Substitute b = 11 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 5201,
"question": "Consider a system of variables where each variable is defined as follows: l = a + 17; r = p + 7; y = l + 12; p = c + 10; c = j + 13; b = 11; a = u + 11; e = b + 3; u = b + 15; j = h + 4; f = y + 16; w = f + 1; h = e + 18. If b = 11, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"o": "d + 12", "c": "o + 3", "r": "c + 4", "l": "r + 8", "b": "l + 6", "x": "b + 3", "u": "d + 15", "g": "u + 15", "h": "g + 5", "s": "h + 17", "q": "s + 8", "a": "q + 10", "d": 17}, "premises": {"d": 17}, "target": "x"}, "answer": {"steps": [["b", "l + 6", "l + 9"], ["l", "r + 8", "r + 17"], ["r", "c + 4", "c + 21"], ["c", "o + 3", "o + 24"], ["o", "d + 12", "d + 36"], ["d", 17, "53"]], "target_var_name": "x", "target_value": 53, "value_dict": {"d": 17}, "is_reverse": true}}
| 5,202
| 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 = h + 17; g = u + 15; r = c + 4; q = s + 8; u = d + 15; c = o + 3; o = d + 12; d = 17; x = b + 3; h = g + 5; b = l + 6; a = q + 10; l = r + 8. If d = 17, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 6 to x, which gives x = l + 9.\n2. Substitute l = r + 8 to x, which gives x = r + 17.\n3. Substitute r = c + 4 to x, which gives x = c + 21.\n4. Substitute c = o + 3 to x, which gives x = o + 24.\n5. Substitute o = d + 12 to x, which gives x = d + 36.\n6. Substitute d = 17 to x, which gives x = 53.\n\nThus, the final answer is x = \\boxed{53}.",
"index": 5202,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 17; g = u + 15; r = c + 4; q = s + 8; u = d + 15; c = o + 3; o = d + 12; d = 17; x = b + 3; h = g + 5; b = l + 6; a = q + 10; l = r + 8. If d = 17, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"o": "x + 19", "c": "o + 19", "i": "c + 10", "q": "i + 6", "f": "q + 18", "l": "f + 5", "r": "x + 13", "g": "r + 15", "j": "g + 13", "m": "j + 10", "s": "m + 7", "d": "s + 4", "x": 3}, "premises": {"x": 3}, "target": "l"}, "answer": {"steps": [["f", "q + 18", "q + 23"], ["q", "i + 6", "i + 29"], ["i", "c + 10", "c + 39"], ["c", "o + 19", "o + 58"], ["o", "x + 19", "x + 77"], ["x", 3, "80"]], "target_var_name": "l", "target_value": 80, "value_dict": {"x": 3}, "is_reverse": true}}
| 5,203
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 10; q = i + 6; j = g + 13; c = o + 19; d = s + 4; i = c + 10; o = x + 19; l = f + 5; f = q + 18; s = m + 7; r = x + 13; g = r + 15; x = 3. If x = 3, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 18 to l, which gives l = q + 23.\n2. Substitute q = i + 6 to l, which gives l = i + 29.\n3. Substitute i = c + 10 to l, which gives l = c + 39.\n4. Substitute c = o + 19 to l, which gives l = o + 58.\n5. Substitute o = x + 19 to l, which gives l = x + 77.\n6. Substitute x = 3 to l, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 5203,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 10; q = i + 6; j = g + 13; c = o + 19; d = s + 4; i = c + 10; o = x + 19; l = f + 5; f = q + 18; s = m + 7; r = x + 13; g = r + 15; x = 3. If x = 3, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"l": "e + 10", "q": "l + 9", "c": "q + 5", "p": "c + 15", "y": "p + 10", "r": "y + 7", "t": "e + 13", "m": "t + 17", "i": "m + 13", "j": "i + 10", "o": "j + 6", "g": "o + 8", "e": 13}, "premises": {"e": 13}, "target": "r"}, "answer": {"steps": [["y", "p + 10", "p + 17"], ["p", "c + 15", "c + 32"], ["c", "q + 5", "q + 37"], ["q", "l + 9", "l + 46"], ["l", "e + 10", "e + 56"], ["e", 13, "69"]], "target_var_name": "r", "target_value": 69, "value_dict": {"e": 13}, "is_reverse": true}}
| 5,204
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = i + 10; l = e + 10; c = q + 5; g = o + 8; i = m + 13; t = e + 13; p = c + 15; y = p + 10; q = l + 9; o = j + 6; m = t + 17; e = 13; r = y + 7. If e = 13, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 10 to r, which gives r = p + 17.\n2. Substitute p = c + 15 to r, which gives r = c + 32.\n3. Substitute c = q + 5 to r, which gives r = q + 37.\n4. Substitute q = l + 9 to r, which gives r = l + 46.\n5. Substitute l = e + 10 to r, which gives r = e + 56.\n6. Substitute e = 13 to r, which gives r = 69.\n\nThus, the final answer is r = \\boxed{69}.",
"index": 5204,
"question": "Consider a system of variables where each variable is defined as follows: j = i + 10; l = e + 10; c = q + 5; g = o + 8; i = m + 13; t = e + 13; p = c + 15; y = p + 10; q = l + 9; o = j + 6; m = t + 17; e = 13; r = y + 7. If e = 13, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"q": "z + 1", "s": "q + 13", "k": "s + 14", "h": "k + 12", "f": "h + 3", "g": "f + 13", "m": "z + 7", "w": "m + 20", "j": "w + 8", "y": "j + 5", "x": "y + 17", "a": "x + 10", "z": 8}, "premises": {"z": 8}, "target": "g"}, "answer": {"steps": [["f", "h + 3", "h + 16"], ["h", "k + 12", "k + 28"], ["k", "s + 14", "s + 42"], ["s", "q + 13", "q + 55"], ["q", "z + 1", "z + 56"], ["z", 8, "64"]], "target_var_name": "g", "target_value": 64, "value_dict": {"z": 8}, "is_reverse": true}}
| 5,205
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = z + 7; y = j + 5; j = w + 8; g = f + 13; x = y + 17; k = s + 14; a = x + 10; f = h + 3; w = m + 20; s = q + 13; h = k + 12; z = 8; q = z + 1. If z = 8, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 3 to g, which gives g = h + 16.\n2. Substitute h = k + 12 to g, which gives g = k + 28.\n3. Substitute k = s + 14 to g, which gives g = s + 42.\n4. Substitute s = q + 13 to g, which gives g = q + 55.\n5. Substitute q = z + 1 to g, which gives g = z + 56.\n6. Substitute z = 8 to g, which gives g = 64.\n\nThus, the final answer is g = \\boxed{64}.",
"index": 5205,
"question": "Consider a system of variables where each variable is defined as follows: m = z + 7; y = j + 5; j = w + 8; g = f + 13; x = y + 17; k = s + 14; a = x + 10; f = h + 3; w = m + 20; s = q + 13; h = k + 12; z = 8; q = z + 1. If z = 8, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"o": "x + 2", "p": "o + 10", "z": "p + 12", "e": "z + 2", "w": "e + 14", "m": "w + 4", "h": "x + 4", "t": "h + 15", "q": "t + 6", "l": "q + 16", "d": "l + 12", "i": "d + 5", "x": 4}, "premises": {"x": 4}, "target": "m"}, "answer": {"steps": [["w", "e + 14", "e + 18"], ["e", "z + 2", "z + 20"], ["z", "p + 12", "p + 32"], ["p", "o + 10", "o + 42"], ["o", "x + 2", "x + 44"], ["x", 4, "48"]], "target_var_name": "m", "target_value": 48, "value_dict": {"x": 4}, "is_reverse": true}}
| 5,206
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = x + 2; p = o + 10; q = t + 6; m = w + 4; d = l + 12; x = 4; i = d + 5; l = q + 16; w = e + 14; t = h + 15; z = p + 12; e = z + 2; h = x + 4. Given that x = 4, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 14 to m, which gives m = e + 18.\n2. Substitute e = z + 2 to m, which gives m = z + 20.\n3. Substitute z = p + 12 to m, which gives m = p + 32.\n4. Substitute p = o + 10 to m, which gives m = o + 42.\n5. Substitute o = x + 2 to m, which gives m = x + 44.\n6. Substitute x = 4 to m, which gives m = 48.\n\nThus, the final answer is m = \\boxed{48}.",
"index": 5206,
"question": "Suppose a collection of variables is related by the following definitions: o = x + 2; p = o + 10; q = t + 6; m = w + 4; d = l + 12; x = 4; i = d + 5; l = q + 16; w = e + 14; t = h + 15; z = p + 12; e = z + 2; h = x + 4. Given that x = 4, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"j": "s + 4", "l": "j + 19", "b": "l + 11", "p": "b + 1", "u": "p + 9", "n": "u + 10", "h": "s + 15", "x": "h + 17", "w": "x + 7", "c": "w + 20", "k": "c + 6", "y": "k + 3", "s": 6}, "premises": {"s": 6}, "target": "n"}, "answer": {"steps": [["u", "p + 9", "p + 19"], ["p", "b + 1", "b + 20"], ["b", "l + 11", "l + 31"], ["l", "j + 19", "j + 50"], ["j", "s + 4", "s + 54"], ["s", 6, "60"]], "target_var_name": "n", "target_value": 60, "value_dict": {"s": 6}, "is_reverse": true}}
| 5,207
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = s + 15; k = c + 6; j = s + 4; u = p + 9; y = k + 3; n = u + 10; x = h + 17; b = l + 11; p = b + 1; c = w + 20; l = j + 19; w = x + 7; s = 6. Given that s = 6, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 9 to n, which gives n = p + 19.\n2. Substitute p = b + 1 to n, which gives n = b + 20.\n3. Substitute b = l + 11 to n, which gives n = l + 31.\n4. Substitute l = j + 19 to n, which gives n = j + 50.\n5. Substitute j = s + 4 to n, which gives n = s + 54.\n6. Substitute s = 6 to n, which gives n = 60.\n\nThus, the final answer is n = \\boxed{60}.",
"index": 5207,
"question": "Suppose a collection of variables is related by the following definitions: h = s + 15; k = c + 6; j = s + 4; u = p + 9; y = k + 3; n = u + 10; x = h + 17; b = l + 11; p = b + 1; c = w + 20; l = j + 19; w = x + 7; s = 6. Given that s = 6, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"y": "l + 13", "f": "y + 13", "d": "f + 13", "j": "d + 10", "z": "j + 17", "i": "z + 8", "x": "l + 10", "p": "x + 19", "k": "p + 6", "q": "k + 6", "r": "q + 3", "v": "r + 16", "l": 20}, "premises": {"l": 20}, "target": "i"}, "answer": {"steps": [["z", "j + 17", "j + 25"], ["j", "d + 10", "d + 35"], ["d", "f + 13", "f + 48"], ["f", "y + 13", "y + 61"], ["y", "l + 13", "l + 74"], ["l", 20, "94"]], "target_var_name": "i", "target_value": 94, "value_dict": {"l": 20}, "is_reverse": true}}
| 5,208
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = d + 10; k = p + 6; i = z + 8; p = x + 19; q = k + 6; z = j + 17; v = r + 16; l = 20; d = f + 13; f = y + 13; r = q + 3; x = l + 10; y = l + 13. Given that l = 20, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 17 to i, which gives i = j + 25.\n2. Substitute j = d + 10 to i, which gives i = d + 35.\n3. Substitute d = f + 13 to i, which gives i = f + 48.\n4. Substitute f = y + 13 to i, which gives i = y + 61.\n5. Substitute y = l + 13 to i, which gives i = l + 74.\n6. Substitute l = 20 to i, which gives i = 94.\n\nThus, the final answer is i = \\boxed{94}.",
"index": 5208,
"question": "Suppose a collection of variables is related by the following definitions: j = d + 10; k = p + 6; i = z + 8; p = x + 19; q = k + 6; z = j + 17; v = r + 16; l = 20; d = f + 13; f = y + 13; r = q + 3; x = l + 10; y = l + 13. Given that l = 20, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"j": "v + 1", "c": "j + 19", "y": "c + 16", "t": "y + 1", "x": "t + 12", "q": "x + 7", "g": "v + 16", "u": "g + 18", "s": "u + 4", "l": "s + 17", "m": "l + 20", "f": "m + 8", "v": 9}, "premises": {"v": 9}, "target": "q"}, "answer": {"steps": [["x", "t + 12", "t + 19"], ["t", "y + 1", "y + 20"], ["y", "c + 16", "c + 36"], ["c", "j + 19", "j + 55"], ["j", "v + 1", "v + 56"], ["v", 9, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"v": 9}, "is_reverse": true}}
| 5,209
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = l + 20; l = s + 17; c = j + 19; q = x + 7; u = g + 18; s = u + 4; g = v + 16; f = m + 8; j = v + 1; t = y + 1; x = t + 12; v = 9; y = c + 16. Given that v = 9, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = t + 12 to q, which gives q = t + 19.\n2. Substitute t = y + 1 to q, which gives q = y + 20.\n3. Substitute y = c + 16 to q, which gives q = c + 36.\n4. Substitute c = j + 19 to q, which gives q = j + 55.\n5. Substitute j = v + 1 to q, which gives q = v + 56.\n6. Substitute v = 9 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 5209,
"question": "Suppose a collection of variables is related by the following definitions: m = l + 20; l = s + 17; c = j + 19; q = x + 7; u = g + 18; s = u + 4; g = v + 16; f = m + 8; j = v + 1; t = y + 1; x = t + 12; v = 9; y = c + 16. Given that v = 9, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"n": "b + 17", "f": "n + 6", "i": "f + 19", "w": "i + 10", "d": "w + 16", "c": "d + 11", "u": "b + 3", "q": "u + 16", "s": "q + 9", "h": "s + 5", "x": "h + 9", "a": "x + 14", "b": 2}, "premises": {"b": 2}, "target": "c"}, "answer": {"steps": [["d", "w + 16", "w + 27"], ["w", "i + 10", "i + 37"], ["i", "f + 19", "f + 56"], ["f", "n + 6", "n + 62"], ["n", "b + 17", "b + 79"], ["b", 2, "81"]], "target_var_name": "c", "target_value": 81, "value_dict": {"b": 2}, "is_reverse": true}}
| 5,210
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 3; s = q + 9; d = w + 16; a = x + 14; i = f + 19; q = u + 16; b = 2; c = d + 11; n = b + 17; w = i + 10; x = h + 9; f = n + 6; h = s + 5. If b = 2, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 16 to c, which gives c = w + 27.\n2. Substitute w = i + 10 to c, which gives c = i + 37.\n3. Substitute i = f + 19 to c, which gives c = f + 56.\n4. Substitute f = n + 6 to c, which gives c = n + 62.\n5. Substitute n = b + 17 to c, which gives c = b + 79.\n6. Substitute b = 2 to c, which gives c = 81.\n\nThus, the final answer is c = \\boxed{81}.",
"index": 5210,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 3; s = q + 9; d = w + 16; a = x + 14; i = f + 19; q = u + 16; b = 2; c = d + 11; n = b + 17; w = i + 10; x = h + 9; f = n + 6; h = s + 5. If b = 2, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"i": "o + 5", "e": "i + 8", "l": "e + 4", "y": "l + 15", "d": "y + 18", "q": "d + 1", "j": "o + 8", "t": "j + 18", "c": "t + 1", "v": "c + 19", "g": "v + 16", "m": "g + 12", "o": 12}, "premises": {"o": 12}, "target": "q"}, "answer": {"steps": [["d", "y + 18", "y + 19"], ["y", "l + 15", "l + 34"], ["l", "e + 4", "e + 38"], ["e", "i + 8", "i + 46"], ["i", "o + 5", "o + 51"], ["o", 12, "63"]], "target_var_name": "q", "target_value": 63, "value_dict": {"o": 12}, "is_reverse": true}}
| 5,211
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = j + 18; l = e + 4; i = o + 5; e = i + 8; j = o + 8; q = d + 1; m = g + 12; d = y + 18; g = v + 16; o = 12; y = l + 15; v = c + 19; c = t + 1. If o = 12, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 18 to q, which gives q = y + 19.\n2. Substitute y = l + 15 to q, which gives q = l + 34.\n3. Substitute l = e + 4 to q, which gives q = e + 38.\n4. Substitute e = i + 8 to q, which gives q = i + 46.\n5. Substitute i = o + 5 to q, which gives q = o + 51.\n6. Substitute o = 12 to q, which gives q = 63.\n\nThus, the final answer is q = \\boxed{63}.",
"index": 5211,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = j + 18; l = e + 4; i = o + 5; e = i + 8; j = o + 8; q = d + 1; m = g + 12; d = y + 18; g = v + 16; o = 12; y = l + 15; v = c + 19; c = t + 1. If o = 12, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"d": "x + 15", "s": "d + 19", "k": "s + 10", "l": "k + 15", "c": "l + 7", "t": "c + 8", "a": "x + 14", "m": "a + 9", "n": "m + 16", "e": "n + 1", "y": "e + 14", "v": "y + 1", "x": 8}, "premises": {"x": 8}, "target": "t"}, "answer": {"steps": [["c", "l + 7", "l + 15"], ["l", "k + 15", "k + 30"], ["k", "s + 10", "s + 40"], ["s", "d + 19", "d + 59"], ["d", "x + 15", "x + 74"], ["x", 8, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"x": 8}, "is_reverse": true}}
| 5,212
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 15; c = l + 7; n = m + 16; v = y + 1; s = d + 19; x = 8; d = x + 15; e = n + 1; m = a + 9; k = s + 10; a = x + 14; y = e + 14; t = c + 8. If x = 8, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 7 to t, which gives t = l + 15.\n2. Substitute l = k + 15 to t, which gives t = k + 30.\n3. Substitute k = s + 10 to t, which gives t = s + 40.\n4. Substitute s = d + 19 to t, which gives t = d + 59.\n5. Substitute d = x + 15 to t, which gives t = x + 74.\n6. Substitute x = 8 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 5212,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 15; c = l + 7; n = m + 16; v = y + 1; s = d + 19; x = 8; d = x + 15; e = n + 1; m = a + 9; k = s + 10; a = x + 14; y = e + 14; t = c + 8. If x = 8, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"p": "s + 20", "e": "p + 6", "q": "e + 3", "k": "q + 10", "r": "k + 15", "x": "r + 6", "n": "s + 20", "g": "n + 3", "l": "g + 2", "f": "l + 19", "c": "f + 8", "i": "c + 1", "s": 14}, "premises": {"s": 14}, "target": "x"}, "answer": {"steps": [["r", "k + 15", "k + 21"], ["k", "q + 10", "q + 31"], ["q", "e + 3", "e + 34"], ["e", "p + 6", "p + 40"], ["p", "s + 20", "s + 60"], ["s", 14, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"s": 14}, "is_reverse": true}}
| 5,213
| 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 = e + 3; f = l + 19; n = s + 20; c = f + 8; g = n + 3; p = s + 20; k = q + 10; i = c + 1; s = 14; x = r + 6; l = g + 2; r = k + 15; e = p + 6. If s = 14, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 15 to x, which gives x = k + 21.\n2. Substitute k = q + 10 to x, which gives x = q + 31.\n3. Substitute q = e + 3 to x, which gives x = e + 34.\n4. Substitute e = p + 6 to x, which gives x = p + 40.\n5. Substitute p = s + 20 to x, which gives x = s + 60.\n6. Substitute s = 14 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 5213,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = e + 3; f = l + 19; n = s + 20; c = f + 8; g = n + 3; p = s + 20; k = q + 10; i = c + 1; s = 14; x = r + 6; l = g + 2; r = k + 15; e = p + 6. If s = 14, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"d": "h + 8", "o": "d + 20", "r": "o + 2", "i": "r + 9", "f": "i + 11", "c": "f + 5", "a": "h + 14", "t": "a + 2", "u": "t + 15", "z": "u + 12", "b": "z + 9", "l": "b + 11", "h": 4}, "premises": {"h": 4}, "target": "c"}, "answer": {"steps": [["f", "i + 11", "i + 16"], ["i", "r + 9", "r + 25"], ["r", "o + 2", "o + 27"], ["o", "d + 20", "d + 47"], ["d", "h + 8", "h + 55"], ["h", 4, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"h": 4}, "is_reverse": true}}
| 5,214
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = o + 2; f = i + 11; a = h + 14; l = b + 11; u = t + 15; b = z + 9; t = a + 2; i = r + 9; o = d + 20; h = 4; z = u + 12; c = f + 5; d = h + 8. Given that h = 4, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 11 to c, which gives c = i + 16.\n2. Substitute i = r + 9 to c, which gives c = r + 25.\n3. Substitute r = o + 2 to c, which gives c = o + 27.\n4. Substitute o = d + 20 to c, which gives c = d + 47.\n5. Substitute d = h + 8 to c, which gives c = h + 55.\n6. Substitute h = 4 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 5214,
"question": "Suppose a collection of variables is related by the following definitions: r = o + 2; f = i + 11; a = h + 14; l = b + 11; u = t + 15; b = z + 9; t = a + 2; i = r + 9; o = d + 20; h = 4; z = u + 12; c = f + 5; d = h + 8. Given that h = 4, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"p": "o + 20", "t": "p + 17", "i": "t + 5", "d": "i + 6", "e": "d + 18", "j": "e + 12", "b": "o + 20", "h": "b + 1", "q": "h + 20", "g": "q + 10", "r": "g + 1", "x": "r + 6", "o": 1}, "premises": {"o": 1}, "target": "j"}, "answer": {"steps": [["e", "d + 18", "d + 30"], ["d", "i + 6", "i + 36"], ["i", "t + 5", "t + 41"], ["t", "p + 17", "p + 58"], ["p", "o + 20", "o + 78"], ["o", 1, "79"]], "target_var_name": "j", "target_value": 79, "value_dict": {"o": 1}, "is_reverse": true}}
| 5,215
| 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 = i + 6; h = b + 1; r = g + 1; q = h + 20; g = q + 10; b = o + 20; i = t + 5; p = o + 20; t = p + 17; e = d + 18; o = 1; x = r + 6; j = e + 12. If o = 1, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 18 to j, which gives j = d + 30.\n2. Substitute d = i + 6 to j, which gives j = i + 36.\n3. Substitute i = t + 5 to j, which gives j = t + 41.\n4. Substitute t = p + 17 to j, which gives j = p + 58.\n5. Substitute p = o + 20 to j, which gives j = o + 78.\n6. Substitute o = 1 to j, which gives j = 79.\n\nThus, the final answer is j = \\boxed{79}.",
"index": 5215,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = i + 6; h = b + 1; r = g + 1; q = h + 20; g = q + 10; b = o + 20; i = t + 5; p = o + 20; t = p + 17; e = d + 18; o = 1; x = r + 6; j = e + 12. If o = 1, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"f": "u + 9", "z": "f + 5", "r": "z + 16", "p": "r + 3", "g": "p + 9", "a": "g + 4", "t": "u + 17", "n": "t + 14", "o": "n + 14", "c": "o + 7", "s": "c + 20", "w": "s + 2", "u": 4}, "premises": {"u": 4}, "target": "a"}, "answer": {"steps": [["g", "p + 9", "p + 13"], ["p", "r + 3", "r + 16"], ["r", "z + 16", "z + 32"], ["z", "f + 5", "f + 37"], ["f", "u + 9", "u + 46"], ["u", 4, "50"]], "target_var_name": "a", "target_value": 50, "value_dict": {"u": 4}, "is_reverse": true}}
| 5,216
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = u + 9; c = o + 7; n = t + 14; g = p + 9; o = n + 14; z = f + 5; u = 4; a = g + 4; s = c + 20; r = z + 16; t = u + 17; p = r + 3; w = s + 2. If u = 4, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 9 to a, which gives a = p + 13.\n2. Substitute p = r + 3 to a, which gives a = r + 16.\n3. Substitute r = z + 16 to a, which gives a = z + 32.\n4. Substitute z = f + 5 to a, which gives a = f + 37.\n5. Substitute f = u + 9 to a, which gives a = u + 46.\n6. Substitute u = 4 to a, which gives a = 50.\n\nThus, the final answer is a = \\boxed{50}.",
"index": 5216,
"question": "Consider a system of variables where each variable is defined as follows: f = u + 9; c = o + 7; n = t + 14; g = p + 9; o = n + 14; z = f + 5; u = 4; a = g + 4; s = c + 20; r = z + 16; t = u + 17; p = r + 3; w = s + 2. If u = 4, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"g": "u + 4", "h": "g + 7", "o": "h + 5", "j": "o + 16", "m": "j + 4", "q": "m + 8", "w": "u + 19", "x": "w + 10", "i": "x + 9", "n": "i + 8", "f": "n + 16", "d": "f + 20", "u": 5}, "premises": {"u": 5}, "target": "q"}, "answer": {"steps": [["m", "j + 4", "j + 12"], ["j", "o + 16", "o + 28"], ["o", "h + 5", "h + 33"], ["h", "g + 7", "g + 40"], ["g", "u + 4", "u + 44"], ["u", 5, "49"]], "target_var_name": "q", "target_value": 49, "value_dict": {"u": 5}, "is_reverse": true}}
| 5,217
| 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 = u + 4; f = n + 16; n = i + 8; d = f + 20; j = o + 16; u = 5; i = x + 9; m = j + 4; o = h + 5; h = g + 7; w = u + 19; q = m + 8; x = w + 10. If u = 5, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 4 to q, which gives q = j + 12.\n2. Substitute j = o + 16 to q, which gives q = o + 28.\n3. Substitute o = h + 5 to q, which gives q = h + 33.\n4. Substitute h = g + 7 to q, which gives q = g + 40.\n5. Substitute g = u + 4 to q, which gives q = u + 44.\n6. Substitute u = 5 to q, which gives q = 49.\n\nThus, the final answer is q = \\boxed{49}.",
"index": 5217,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = u + 4; f = n + 16; n = i + 8; d = f + 20; j = o + 16; u = 5; i = x + 9; m = j + 4; o = h + 5; h = g + 7; w = u + 19; q = m + 8; x = w + 10. If u = 5, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"o": "i + 13", "m": "o + 7", "a": "m + 14", "h": "a + 5", "w": "h + 10", "g": "w + 12", "d": "i + 12", "q": "d + 20", "b": "q + 12", "z": "b + 13", "u": "z + 15", "x": "u + 20", "i": 19}, "premises": {"i": 19}, "target": "g"}, "answer": {"steps": [["w", "h + 10", "h + 22"], ["h", "a + 5", "a + 27"], ["a", "m + 14", "m + 41"], ["m", "o + 7", "o + 48"], ["o", "i + 13", "i + 61"], ["i", 19, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"i": 19}, "is_reverse": true}}
| 5,218
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = q + 12; d = i + 12; g = w + 12; x = u + 20; u = z + 15; h = a + 5; z = b + 13; a = m + 14; m = o + 7; w = h + 10; q = d + 20; i = 19; o = i + 13. If i = 19, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 10 to g, which gives g = h + 22.\n2. Substitute h = a + 5 to g, which gives g = a + 27.\n3. Substitute a = m + 14 to g, which gives g = m + 41.\n4. Substitute m = o + 7 to g, which gives g = o + 48.\n5. Substitute o = i + 13 to g, which gives g = i + 61.\n6. Substitute i = 19 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 5218,
"question": "Consider a system of variables where each variable is defined as follows: b = q + 12; d = i + 12; g = w + 12; x = u + 20; u = z + 15; h = a + 5; z = b + 13; a = m + 14; m = o + 7; w = h + 10; q = d + 20; i = 19; o = i + 13. If i = 19, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"n": "c + 14", "y": "n + 16", "g": "y + 12", "o": "g + 2", "k": "o + 17", "j": "k + 2", "b": "c + 6", "f": "b + 10", "v": "f + 8", "w": "v + 12", "s": "w + 4", "q": "s + 15", "c": 3}, "premises": {"c": 3}, "target": "j"}, "answer": {"steps": [["k", "o + 17", "o + 19"], ["o", "g + 2", "g + 21"], ["g", "y + 12", "y + 33"], ["y", "n + 16", "n + 49"], ["n", "c + 14", "c + 63"], ["c", 3, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"c": 3}, "is_reverse": true}}
| 5,219
| 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 = b + 10; w = v + 12; b = c + 6; v = f + 8; k = o + 17; q = s + 15; y = n + 16; j = k + 2; s = w + 4; o = g + 2; g = y + 12; n = c + 14; c = 3. If c = 3, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 17 to j, which gives j = o + 19.\n2. Substitute o = g + 2 to j, which gives j = g + 21.\n3. Substitute g = y + 12 to j, which gives j = y + 33.\n4. Substitute y = n + 16 to j, which gives j = n + 49.\n5. Substitute n = c + 14 to j, which gives j = c + 63.\n6. Substitute c = 3 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 5219,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 10; w = v + 12; b = c + 6; v = f + 8; k = o + 17; q = s + 15; y = n + 16; j = k + 2; s = w + 4; o = g + 2; g = y + 12; n = c + 14; c = 3. If c = 3, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"w": "h + 5", "j": "w + 6", "f": "j + 2", "k": "f + 19", "x": "k + 14", "e": "x + 15", "v": "h + 3", "l": "v + 15", "r": "l + 1", "n": "r + 20", "d": "n + 17", "z": "d + 6", "h": 13}, "premises": {"h": 13}, "target": "e"}, "answer": {"steps": [["x", "k + 14", "k + 29"], ["k", "f + 19", "f + 48"], ["f", "j + 2", "j + 50"], ["j", "w + 6", "w + 56"], ["w", "h + 5", "h + 61"], ["h", 13, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"h": 13}, "is_reverse": true}}
| 5,220
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = v + 15; d = n + 17; v = h + 3; k = f + 19; e = x + 15; w = h + 5; x = k + 14; z = d + 6; j = w + 6; f = j + 2; r = l + 1; h = 13; n = r + 20. If h = 13, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 14 to e, which gives e = k + 29.\n2. Substitute k = f + 19 to e, which gives e = f + 48.\n3. Substitute f = j + 2 to e, which gives e = j + 50.\n4. Substitute j = w + 6 to e, which gives e = w + 56.\n5. Substitute w = h + 5 to e, which gives e = h + 61.\n6. Substitute h = 13 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 5220,
"question": "Consider a system of variables where each variable is defined as follows: l = v + 15; d = n + 17; v = h + 3; k = f + 19; e = x + 15; w = h + 5; x = k + 14; z = d + 6; j = w + 6; f = j + 2; r = l + 1; h = 13; n = r + 20. If h = 13, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"s": "k + 15", "p": "s + 9", "w": "p + 14", "j": "w + 9", "b": "j + 9", "a": "b + 7", "y": "k + 5", "h": "y + 1", "z": "h + 19", "o": "z + 8", "u": "o + 13", "i": "u + 13", "k": 3}, "premises": {"k": 3}, "target": "a"}, "answer": {"steps": [["b", "j + 9", "j + 16"], ["j", "w + 9", "w + 25"], ["w", "p + 14", "p + 39"], ["p", "s + 9", "s + 48"], ["s", "k + 15", "k + 63"], ["k", 3, "66"]], "target_var_name": "a", "target_value": 66, "value_dict": {"k": 3}, "is_reverse": true}}
| 5,221
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 9; o = z + 8; w = p + 14; s = k + 15; p = s + 9; i = u + 13; j = w + 9; z = h + 19; y = k + 5; u = o + 13; a = b + 7; h = y + 1; k = 3. If k = 3, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 9 to a, which gives a = j + 16.\n2. Substitute j = w + 9 to a, which gives a = w + 25.\n3. Substitute w = p + 14 to a, which gives a = p + 39.\n4. Substitute p = s + 9 to a, which gives a = s + 48.\n5. Substitute s = k + 15 to a, which gives a = k + 63.\n6. Substitute k = 3 to a, which gives a = 66.\n\nThus, the final answer is a = \\boxed{66}.",
"index": 5221,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 9; o = z + 8; w = p + 14; s = k + 15; p = s + 9; i = u + 13; j = w + 9; z = h + 19; y = k + 5; u = o + 13; a = b + 7; h = y + 1; k = 3. If k = 3, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"o": "r + 1", "i": "o + 1", "t": "i + 3", "h": "t + 14", "v": "h + 7", "g": "v + 20", "x": "r + 1", "w": "x + 7", "m": "w + 8", "f": "m + 5", "y": "f + 3", "d": "y + 7", "r": 3}, "premises": {"r": 3}, "target": "g"}, "answer": {"steps": [["v", "h + 7", "h + 27"], ["h", "t + 14", "t + 41"], ["t", "i + 3", "i + 44"], ["i", "o + 1", "o + 45"], ["o", "r + 1", "r + 46"], ["r", 3, "49"]], "target_var_name": "g", "target_value": 49, "value_dict": {"r": 3}, "is_reverse": true}}
| 5,222
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = v + 20; v = h + 7; d = y + 7; w = x + 7; x = r + 1; r = 3; y = f + 3; m = w + 8; o = r + 1; i = o + 1; t = i + 3; h = t + 14; f = m + 5. Given that r = 3, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 7 to g, which gives g = h + 27.\n2. Substitute h = t + 14 to g, which gives g = t + 41.\n3. Substitute t = i + 3 to g, which gives g = i + 44.\n4. Substitute i = o + 1 to g, which gives g = o + 45.\n5. Substitute o = r + 1 to g, which gives g = r + 46.\n6. Substitute r = 3 to g, which gives g = 49.\n\nThus, the final answer is g = \\boxed{49}.",
"index": 5222,
"question": "Suppose a collection of variables is related by the following definitions: g = v + 20; v = h + 7; d = y + 7; w = x + 7; x = r + 1; r = 3; y = f + 3; m = w + 8; o = r + 1; i = o + 1; t = i + 3; h = t + 14; f = m + 5. Given that r = 3, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"y": "c + 3", "v": "y + 8", "k": "v + 15", "q": "k + 9", "b": "q + 14", "z": "b + 4", "n": "c + 14", "r": "n + 17", "f": "r + 11", "h": "f + 17", "p": "h + 9", "i": "p + 7", "c": 20}, "premises": {"c": 20}, "target": "z"}, "answer": {"steps": [["b", "q + 14", "q + 18"], ["q", "k + 9", "k + 27"], ["k", "v + 15", "v + 42"], ["v", "y + 8", "y + 50"], ["y", "c + 3", "c + 53"], ["c", 20, "73"]], "target_var_name": "z", "target_value": 73, "value_dict": {"c": 20}, "is_reverse": true}}
| 5,223
| 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 = c + 3; z = b + 4; n = c + 14; k = v + 15; c = 20; h = f + 17; v = y + 8; f = r + 11; b = q + 14; i = p + 7; q = k + 9; r = n + 17; p = h + 9. If c = 20, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 14 to z, which gives z = q + 18.\n2. Substitute q = k + 9 to z, which gives z = k + 27.\n3. Substitute k = v + 15 to z, which gives z = v + 42.\n4. Substitute v = y + 8 to z, which gives z = y + 50.\n5. Substitute y = c + 3 to z, which gives z = c + 53.\n6. Substitute c = 20 to z, which gives z = 73.\n\nThus, the final answer is z = \\boxed{73}.",
"index": 5223,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = c + 3; z = b + 4; n = c + 14; k = v + 15; c = 20; h = f + 17; v = y + 8; f = r + 11; b = q + 14; i = p + 7; q = k + 9; r = n + 17; p = h + 9. If c = 20, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"n": "j + 12", "t": "n + 15", "m": "t + 8", "o": "m + 10", "z": "o + 14", "w": "z + 16", "h": "j + 12", "f": "h + 9", "q": "f + 19", "d": "q + 2", "c": "d + 3", "p": "c + 3", "j": 3}, "premises": {"j": 3}, "target": "w"}, "answer": {"steps": [["z", "o + 14", "o + 30"], ["o", "m + 10", "m + 40"], ["m", "t + 8", "t + 48"], ["t", "n + 15", "n + 63"], ["n", "j + 12", "j + 75"], ["j", 3, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"j": 3}, "is_reverse": true}}
| 5,224
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = q + 2; w = z + 16; h = j + 12; p = c + 3; z = o + 14; o = m + 10; c = d + 3; f = h + 9; j = 3; n = j + 12; t = n + 15; q = f + 19; m = t + 8. Given that j = 3, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 14 to w, which gives w = o + 30.\n2. Substitute o = m + 10 to w, which gives w = m + 40.\n3. Substitute m = t + 8 to w, which gives w = t + 48.\n4. Substitute t = n + 15 to w, which gives w = n + 63.\n5. Substitute n = j + 12 to w, which gives w = j + 75.\n6. Substitute j = 3 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 5224,
"question": "Suppose a collection of variables is related by the following definitions: d = q + 2; w = z + 16; h = j + 12; p = c + 3; z = o + 14; o = m + 10; c = d + 3; f = h + 9; j = 3; n = j + 12; t = n + 15; q = f + 19; m = t + 8. Given that j = 3, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"r": "a + 12", "u": "r + 3", "x": "u + 19", "l": "x + 5", "t": "l + 3", "g": "t + 19", "m": "a + 14", "w": "m + 16", "o": "w + 11", "d": "o + 11", "n": "d + 14", "j": "n + 15", "a": 9}, "premises": {"a": 9}, "target": "g"}, "answer": {"steps": [["t", "l + 3", "l + 22"], ["l", "x + 5", "x + 27"], ["x", "u + 19", "u + 46"], ["u", "r + 3", "r + 49"], ["r", "a + 12", "a + 61"], ["a", 9, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"a": 9}, "is_reverse": true}}
| 5,225
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = w + 11; j = n + 15; l = x + 5; w = m + 16; x = u + 19; d = o + 11; t = l + 3; m = a + 14; n = d + 14; g = t + 19; u = r + 3; r = a + 12; a = 9. Given that a = 9, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 3 to g, which gives g = l + 22.\n2. Substitute l = x + 5 to g, which gives g = x + 27.\n3. Substitute x = u + 19 to g, which gives g = u + 46.\n4. Substitute u = r + 3 to g, which gives g = r + 49.\n5. Substitute r = a + 12 to g, which gives g = a + 61.\n6. Substitute a = 9 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 5225,
"question": "Suppose a collection of variables is related by the following definitions: o = w + 11; j = n + 15; l = x + 5; w = m + 16; x = u + 19; d = o + 11; t = l + 3; m = a + 14; n = d + 14; g = t + 19; u = r + 3; r = a + 12; a = 9. Given that a = 9, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"i": "k + 6", "m": "i + 19", "v": "m + 8", "n": "v + 4", "z": "n + 19", "b": "z + 5", "l": "k + 15", "h": "l + 9", "y": "h + 3", "a": "y + 15", "o": "a + 10", "r": "o + 9", "k": 14}, "premises": {"k": 14}, "target": "b"}, "answer": {"steps": [["z", "n + 19", "n + 24"], ["n", "v + 4", "v + 28"], ["v", "m + 8", "m + 36"], ["m", "i + 19", "i + 55"], ["i", "k + 6", "k + 61"], ["k", 14, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"k": 14}, "is_reverse": true}}
| 5,226
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = y + 15; k = 14; r = o + 9; i = k + 6; m = i + 19; l = k + 15; b = z + 5; y = h + 3; n = v + 4; o = a + 10; v = m + 8; h = l + 9; z = n + 19. If k = 14, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 19 to b, which gives b = n + 24.\n2. Substitute n = v + 4 to b, which gives b = v + 28.\n3. Substitute v = m + 8 to b, which gives b = m + 36.\n4. Substitute m = i + 19 to b, which gives b = i + 55.\n5. Substitute i = k + 6 to b, which gives b = k + 61.\n6. Substitute k = 14 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 5226,
"question": "Consider a system of variables where each variable is defined as follows: a = y + 15; k = 14; r = o + 9; i = k + 6; m = i + 19; l = k + 15; b = z + 5; y = h + 3; n = v + 4; o = a + 10; v = m + 8; h = l + 9; z = n + 19. If k = 14, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"t": "w + 10", "n": "t + 14", "b": "n + 16", "v": "b + 20", "g": "v + 9", "e": "g + 10", "a": "w + 13", "d": "a + 18", "z": "d + 15", "i": "z + 9", "s": "i + 17", "h": "s + 19", "w": 5}, "premises": {"w": 5}, "target": "e"}, "answer": {"steps": [["g", "v + 9", "v + 19"], ["v", "b + 20", "b + 39"], ["b", "n + 16", "n + 55"], ["n", "t + 14", "t + 69"], ["t", "w + 10", "w + 79"], ["w", 5, "84"]], "target_var_name": "e", "target_value": 84, "value_dict": {"w": 5}, "is_reverse": true}}
| 5,227
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = b + 20; h = s + 19; i = z + 9; b = n + 16; t = w + 10; a = w + 13; z = d + 15; w = 5; d = a + 18; n = t + 14; s = i + 17; g = v + 9; e = g + 10. Given that w = 5, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 9 to e, which gives e = v + 19.\n2. Substitute v = b + 20 to e, which gives e = b + 39.\n3. Substitute b = n + 16 to e, which gives e = n + 55.\n4. Substitute n = t + 14 to e, which gives e = t + 69.\n5. Substitute t = w + 10 to e, which gives e = w + 79.\n6. Substitute w = 5 to e, which gives e = 84.\n\nThus, the final answer is e = \\boxed{84}.",
"index": 5227,
"question": "Suppose a collection of variables is related by the following definitions: v = b + 20; h = s + 19; i = z + 9; b = n + 16; t = w + 10; a = w + 13; z = d + 15; w = 5; d = a + 18; n = t + 14; s = i + 17; g = v + 9; e = g + 10. Given that w = 5, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"e": "l + 7", "d": "e + 19", "m": "d + 6", "i": "m + 16", "s": "i + 14", "v": "s + 15", "z": "l + 8", "r": "z + 14", "h": "r + 8", "w": "h + 20", "t": "w + 18", "k": "t + 14", "l": 11}, "premises": {"l": 11}, "target": "v"}, "answer": {"steps": [["s", "i + 14", "i + 29"], ["i", "m + 16", "m + 45"], ["m", "d + 6", "d + 51"], ["d", "e + 19", "e + 70"], ["e", "l + 7", "l + 77"], ["l", 11, "88"]], "target_var_name": "v", "target_value": 88, "value_dict": {"l": 11}, "is_reverse": true}}
| 5,228
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = 11; h = r + 8; k = t + 14; m = d + 6; d = e + 19; z = l + 8; e = l + 7; i = m + 16; v = s + 15; r = z + 14; s = i + 14; t = w + 18; w = h + 20. Given that l = 11, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 14 to v, which gives v = i + 29.\n2. Substitute i = m + 16 to v, which gives v = m + 45.\n3. Substitute m = d + 6 to v, which gives v = d + 51.\n4. Substitute d = e + 19 to v, which gives v = e + 70.\n5. Substitute e = l + 7 to v, which gives v = l + 77.\n6. Substitute l = 11 to v, which gives v = 88.\n\nThus, the final answer is v = \\boxed{88}.",
"index": 5228,
"question": "Suppose a collection of variables is related by the following definitions: l = 11; h = r + 8; k = t + 14; m = d + 6; d = e + 19; z = l + 8; e = l + 7; i = m + 16; v = s + 15; r = z + 14; s = i + 14; t = w + 18; w = h + 20. Given that l = 11, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"p": "z + 3", "o": "p + 20", "s": "o + 18", "n": "s + 9", "d": "n + 10", "u": "d + 2", "v": "z + 12", "r": "v + 20", "c": "r + 18", "t": "c + 4", "i": "t + 3", "e": "i + 15", "z": 5}, "premises": {"z": 5}, "target": "u"}, "answer": {"steps": [["d", "n + 10", "n + 12"], ["n", "s + 9", "s + 21"], ["s", "o + 18", "o + 39"], ["o", "p + 20", "p + 59"], ["p", "z + 3", "z + 62"], ["z", 5, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"z": 5}, "is_reverse": true}}
| 5,229
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = z + 3; t = c + 4; u = d + 2; o = p + 20; v = z + 12; n = s + 9; z = 5; c = r + 18; i = t + 3; d = n + 10; s = o + 18; e = i + 15; r = v + 20. If z = 5, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 10 to u, which gives u = n + 12.\n2. Substitute n = s + 9 to u, which gives u = s + 21.\n3. Substitute s = o + 18 to u, which gives u = o + 39.\n4. Substitute o = p + 20 to u, which gives u = p + 59.\n5. Substitute p = z + 3 to u, which gives u = z + 62.\n6. Substitute z = 5 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 5229,
"question": "Consider a system of variables where each variable is defined as follows: p = z + 3; t = c + 4; u = d + 2; o = p + 20; v = z + 12; n = s + 9; z = 5; c = r + 18; i = t + 3; d = n + 10; s = o + 18; e = i + 15; r = v + 20. If z = 5, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"i": "k + 19", "y": "i + 14", "j": "y + 13", "e": "j + 11", "f": "e + 3", "x": "f + 20", "v": "k + 9", "b": "v + 15", "l": "b + 5", "q": "l + 20", "c": "q + 5", "o": "c + 8", "k": 19}, "premises": {"k": 19}, "target": "x"}, "answer": {"steps": [["f", "e + 3", "e + 23"], ["e", "j + 11", "j + 34"], ["j", "y + 13", "y + 47"], ["y", "i + 14", "i + 61"], ["i", "k + 19", "k + 80"], ["k", 19, "99"]], "target_var_name": "x", "target_value": 99, "value_dict": {"k": 19}, "is_reverse": true}}
| 5,230
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = f + 20; v = k + 9; c = q + 5; o = c + 8; b = v + 15; l = b + 5; q = l + 20; f = e + 3; k = 19; i = k + 19; y = i + 14; j = y + 13; e = j + 11. If k = 19, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 3 to x, which gives x = e + 23.\n2. Substitute e = j + 11 to x, which gives x = j + 34.\n3. Substitute j = y + 13 to x, which gives x = y + 47.\n4. Substitute y = i + 14 to x, which gives x = i + 61.\n5. Substitute i = k + 19 to x, which gives x = k + 80.\n6. Substitute k = 19 to x, which gives x = 99.\n\nThus, the final answer is x = \\boxed{99}.",
"index": 5230,
"question": "Consider a system of variables where each variable is defined as follows: x = f + 20; v = k + 9; c = q + 5; o = c + 8; b = v + 15; l = b + 5; q = l + 20; f = e + 3; k = 19; i = k + 19; y = i + 14; j = y + 13; e = j + 11. If k = 19, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"z": "b + 12", "l": "z + 11", "q": "l + 12", "f": "q + 9", "r": "f + 9", "o": "r + 6", "e": "b + 9", "y": "e + 5", "a": "y + 7", "h": "a + 14", "g": "h + 1", "s": "g + 8", "b": 20}, "premises": {"b": 20}, "target": "o"}, "answer": {"steps": [["r", "f + 9", "f + 15"], ["f", "q + 9", "q + 24"], ["q", "l + 12", "l + 36"], ["l", "z + 11", "z + 47"], ["z", "b + 12", "b + 59"], ["b", 20, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"b": 20}, "is_reverse": true}}
| 5,231
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = r + 6; f = q + 9; g = h + 1; b = 20; z = b + 12; q = l + 12; l = z + 11; e = b + 9; h = a + 14; a = y + 7; r = f + 9; y = e + 5; s = g + 8. If b = 20, what is the resulting 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 r = f + 9 to o, which gives o = f + 15.\n2. Substitute f = q + 9 to o, which gives o = q + 24.\n3. Substitute q = l + 12 to o, which gives o = l + 36.\n4. Substitute l = z + 11 to o, which gives o = z + 47.\n5. Substitute z = b + 12 to o, which gives o = b + 59.\n6. Substitute b = 20 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 5231,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = r + 6; f = q + 9; g = h + 1; b = 20; z = b + 12; q = l + 12; l = z + 11; e = b + 9; h = a + 14; a = y + 7; r = f + 9; y = e + 5; s = g + 8. If b = 20, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"n": "y + 20", "h": "n + 15", "c": "h + 7", "g": "c + 5", "r": "g + 6", "s": "r + 19", "q": "y + 11", "f": "q + 18", "u": "f + 11", "w": "u + 5", "e": "w + 15", "x": "e + 7", "y": 6}, "premises": {"y": 6}, "target": "s"}, "answer": {"steps": [["r", "g + 6", "g + 25"], ["g", "c + 5", "c + 30"], ["c", "h + 7", "h + 37"], ["h", "n + 15", "n + 52"], ["n", "y + 20", "y + 72"], ["y", 6, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"y": 6}, "is_reverse": true}}
| 5,232
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = f + 11; r = g + 6; s = r + 19; q = y + 11; n = y + 20; f = q + 18; g = c + 5; w = u + 5; x = e + 7; y = 6; h = n + 15; c = h + 7; e = w + 15. Given that y = 6, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 6 to s, which gives s = g + 25.\n2. Substitute g = c + 5 to s, which gives s = c + 30.\n3. Substitute c = h + 7 to s, which gives s = h + 37.\n4. Substitute h = n + 15 to s, which gives s = n + 52.\n5. Substitute n = y + 20 to s, which gives s = y + 72.\n6. Substitute y = 6 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 5232,
"question": "Suppose a collection of variables is related by the following definitions: u = f + 11; r = g + 6; s = r + 19; q = y + 11; n = y + 20; f = q + 18; g = c + 5; w = u + 5; x = e + 7; y = 6; h = n + 15; c = h + 7; e = w + 15. Given that y = 6, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"w": "x + 10", "q": "w + 8", "f": "q + 13", "o": "f + 10", "y": "o + 2", "z": "y + 13", "m": "x + 16", "j": "m + 17", "p": "j + 15", "b": "p + 4", "d": "b + 19", "v": "d + 14", "x": 10}, "premises": {"x": 10}, "target": "z"}, "answer": {"steps": [["y", "o + 2", "o + 15"], ["o", "f + 10", "f + 25"], ["f", "q + 13", "q + 38"], ["q", "w + 8", "w + 46"], ["w", "x + 10", "x + 56"], ["x", 10, "66"]], "target_var_name": "z", "target_value": 66, "value_dict": {"x": 10}, "is_reverse": true}}
| 5,233
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = m + 17; z = y + 13; d = b + 19; f = q + 13; y = o + 2; b = p + 4; x = 10; v = d + 14; q = w + 8; m = x + 16; w = x + 10; o = f + 10; p = j + 15. Given that x = 10, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 2 to z, which gives z = o + 15.\n2. Substitute o = f + 10 to z, which gives z = f + 25.\n3. Substitute f = q + 13 to z, which gives z = q + 38.\n4. Substitute q = w + 8 to z, which gives z = w + 46.\n5. Substitute w = x + 10 to z, which gives z = x + 56.\n6. Substitute x = 10 to z, which gives z = 66.\n\nThus, the final answer is z = \\boxed{66}.",
"index": 5233,
"question": "Suppose a collection of variables is related by the following definitions: j = m + 17; z = y + 13; d = b + 19; f = q + 13; y = o + 2; b = p + 4; x = 10; v = d + 14; q = w + 8; m = x + 16; w = x + 10; o = f + 10; p = j + 15. Given that x = 10, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"v": "e + 2", "k": "v + 17", "s": "k + 12", "q": "s + 3", "z": "q + 6", "b": "z + 19", "l": "e + 19", "n": "l + 13", "a": "n + 19", "u": "a + 11", "p": "u + 5", "o": "p + 8", "e": 18}, "premises": {"e": 18}, "target": "b"}, "answer": {"steps": [["z", "q + 6", "q + 25"], ["q", "s + 3", "s + 28"], ["s", "k + 12", "k + 40"], ["k", "v + 17", "v + 57"], ["v", "e + 2", "e + 59"], ["e", 18, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"e": 18}, "is_reverse": true}}
| 5,234
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 5; v = e + 2; o = p + 8; b = z + 19; k = v + 17; a = n + 19; l = e + 19; n = l + 13; u = a + 11; z = q + 6; e = 18; s = k + 12; q = s + 3. If e = 18, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 6 to b, which gives b = q + 25.\n2. Substitute q = s + 3 to b, which gives b = s + 28.\n3. Substitute s = k + 12 to b, which gives b = k + 40.\n4. Substitute k = v + 17 to b, which gives b = v + 57.\n5. Substitute v = e + 2 to b, which gives b = e + 59.\n6. Substitute e = 18 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 5234,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 5; v = e + 2; o = p + 8; b = z + 19; k = v + 17; a = n + 19; l = e + 19; n = l + 13; u = a + 11; z = q + 6; e = 18; s = k + 12; q = s + 3. If e = 18, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"i": "z + 18", "f": "i + 15", "s": "f + 3", "k": "s + 3", "p": "k + 10", "y": "p + 12", "j": "z + 4", "g": "j + 20", "q": "g + 12", "t": "q + 7", "x": "t + 1", "a": "x + 10", "z": 20}, "premises": {"z": 20}, "target": "y"}, "answer": {"steps": [["p", "k + 10", "k + 22"], ["k", "s + 3", "s + 25"], ["s", "f + 3", "f + 28"], ["f", "i + 15", "i + 43"], ["i", "z + 18", "z + 61"], ["z", 20, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"z": 20}, "is_reverse": true}}
| 5,235
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = z + 4; p = k + 10; f = i + 15; z = 20; t = q + 7; y = p + 12; a = x + 10; s = f + 3; i = z + 18; g = j + 20; k = s + 3; x = t + 1; q = g + 12. If z = 20, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 10 to y, which gives y = k + 22.\n2. Substitute k = s + 3 to y, which gives y = s + 25.\n3. Substitute s = f + 3 to y, which gives y = f + 28.\n4. Substitute f = i + 15 to y, which gives y = i + 43.\n5. Substitute i = z + 18 to y, which gives y = z + 61.\n6. Substitute z = 20 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 5235,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = z + 4; p = k + 10; f = i + 15; z = 20; t = q + 7; y = p + 12; a = x + 10; s = f + 3; i = z + 18; g = j + 20; k = s + 3; x = t + 1; q = g + 12. If z = 20, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"l": "y + 18", "u": "l + 20", "w": "u + 19", "k": "w + 5", "x": "k + 5", "i": "x + 14", "v": "y + 2", "t": "v + 17", "j": "t + 17", "q": "j + 15", "r": "q + 6", "a": "r + 19", "y": 18}, "premises": {"y": 18}, "target": "i"}, "answer": {"steps": [["x", "k + 5", "k + 19"], ["k", "w + 5", "w + 24"], ["w", "u + 19", "u + 43"], ["u", "l + 20", "l + 63"], ["l", "y + 18", "y + 81"], ["y", 18, "99"]], "target_var_name": "i", "target_value": 99, "value_dict": {"y": 18}, "is_reverse": true}}
| 5,236
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = y + 18; a = r + 19; u = l + 20; x = k + 5; t = v + 17; y = 18; r = q + 6; q = j + 15; k = w + 5; v = y + 2; i = x + 14; j = t + 17; w = u + 19. If y = 18, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 5 to i, which gives i = k + 19.\n2. Substitute k = w + 5 to i, which gives i = w + 24.\n3. Substitute w = u + 19 to i, which gives i = u + 43.\n4. Substitute u = l + 20 to i, which gives i = l + 63.\n5. Substitute l = y + 18 to i, which gives i = y + 81.\n6. Substitute y = 18 to i, which gives i = 99.\n\nThus, the final answer is i = \\boxed{99}.",
"index": 5236,
"question": "Consider a system of variables where each variable is defined as follows: l = y + 18; a = r + 19; u = l + 20; x = k + 5; t = v + 17; y = 18; r = q + 6; q = j + 15; k = w + 5; v = y + 2; i = x + 14; j = t + 17; w = u + 19. If y = 18, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"z": "q + 10", "f": "z + 2", "c": "f + 18", "m": "c + 15", "i": "m + 4", "h": "i + 5", "p": "q + 2", "t": "p + 2", "v": "t + 15", "b": "v + 19", "s": "b + 5", "n": "s + 9", "q": 3}, "premises": {"q": 3}, "target": "h"}, "answer": {"steps": [["i", "m + 4", "m + 9"], ["m", "c + 15", "c + 24"], ["c", "f + 18", "f + 42"], ["f", "z + 2", "z + 44"], ["z", "q + 10", "q + 54"], ["q", 3, "57"]], "target_var_name": "h", "target_value": 57, "value_dict": {"q": 3}, "is_reverse": true}}
| 5,237
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = q + 2; c = f + 18; q = 3; t = p + 2; z = q + 10; s = b + 5; m = c + 15; h = i + 5; n = s + 9; b = v + 19; v = t + 15; i = m + 4; f = z + 2. If q = 3, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 4 to h, which gives h = m + 9.\n2. Substitute m = c + 15 to h, which gives h = c + 24.\n3. Substitute c = f + 18 to h, which gives h = f + 42.\n4. Substitute f = z + 2 to h, which gives h = z + 44.\n5. Substitute z = q + 10 to h, which gives h = q + 54.\n6. Substitute q = 3 to h, which gives h = 57.\n\nThus, the final answer is h = \\boxed{57}.",
"index": 5237,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = q + 2; c = f + 18; q = 3; t = p + 2; z = q + 10; s = b + 5; m = c + 15; h = i + 5; n = s + 9; b = v + 19; v = t + 15; i = m + 4; f = z + 2. If q = 3, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"i": "k + 12", "u": "i + 3", "c": "u + 7", "x": "c + 8", "e": "x + 4", "l": "e + 5", "j": "k + 16", "t": "j + 11", "w": "t + 3", "f": "w + 19", "b": "f + 1", "z": "b + 5", "k": 3}, "premises": {"k": 3}, "target": "l"}, "answer": {"steps": [["e", "x + 4", "x + 9"], ["x", "c + 8", "c + 17"], ["c", "u + 7", "u + 24"], ["u", "i + 3", "i + 27"], ["i", "k + 12", "k + 39"], ["k", 3, "42"]], "target_var_name": "l", "target_value": 42, "value_dict": {"k": 3}, "is_reverse": true}}
| 5,238
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = c + 8; i = k + 12; e = x + 4; c = u + 7; u = i + 3; f = w + 19; t = j + 11; w = t + 3; j = k + 16; k = 3; b = f + 1; z = b + 5; l = e + 5. If k = 3, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 4 to l, which gives l = x + 9.\n2. Substitute x = c + 8 to l, which gives l = c + 17.\n3. Substitute c = u + 7 to l, which gives l = u + 24.\n4. Substitute u = i + 3 to l, which gives l = i + 27.\n5. Substitute i = k + 12 to l, which gives l = k + 39.\n6. Substitute k = 3 to l, which gives l = 42.\n\nThus, the final answer is l = \\boxed{42}.",
"index": 5238,
"question": "Consider a system of variables where each variable is defined as follows: x = c + 8; i = k + 12; e = x + 4; c = u + 7; u = i + 3; f = w + 19; t = j + 11; w = t + 3; j = k + 16; k = 3; b = f + 1; z = b + 5; l = e + 5. If k = 3, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"w": "k + 9", "z": "w + 8", "c": "z + 2", "y": "c + 17", "x": "y + 2", "g": "x + 16", "s": "k + 7", "o": "s + 13", "l": "o + 15", "p": "l + 11", "n": "p + 20", "d": "n + 4", "k": 6}, "premises": {"k": 6}, "target": "g"}, "answer": {"steps": [["x", "y + 2", "y + 18"], ["y", "c + 17", "c + 35"], ["c", "z + 2", "z + 37"], ["z", "w + 8", "w + 45"], ["w", "k + 9", "k + 54"], ["k", 6, "60"]], "target_var_name": "g", "target_value": 60, "value_dict": {"k": 6}, "is_reverse": true}}
| 5,239
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = z + 2; g = x + 16; z = w + 8; s = k + 7; k = 6; w = k + 9; p = l + 11; o = s + 13; l = o + 15; x = y + 2; d = n + 4; y = c + 17; n = p + 20. Given that k = 6, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 2 to g, which gives g = y + 18.\n2. Substitute y = c + 17 to g, which gives g = c + 35.\n3. Substitute c = z + 2 to g, which gives g = z + 37.\n4. Substitute z = w + 8 to g, which gives g = w + 45.\n5. Substitute w = k + 9 to g, which gives g = k + 54.\n6. Substitute k = 6 to g, which gives g = 60.\n\nThus, the final answer is g = \\boxed{60}.",
"index": 5239,
"question": "Suppose a collection of variables is related by the following definitions: c = z + 2; g = x + 16; z = w + 8; s = k + 7; k = 6; w = k + 9; p = l + 11; o = s + 13; l = o + 15; x = y + 2; d = n + 4; y = c + 17; n = p + 20. Given that k = 6, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"e": "s + 1", "o": "e + 1", "l": "o + 4", "t": "l + 5", "c": "t + 1", "v": "c + 19", "b": "s + 19", "r": "b + 7", "x": "r + 17", "a": "x + 4", "j": "a + 13", "p": "j + 11", "s": 1}, "premises": {"s": 1}, "target": "v"}, "answer": {"steps": [["c", "t + 1", "t + 20"], ["t", "l + 5", "l + 25"], ["l", "o + 4", "o + 29"], ["o", "e + 1", "e + 30"], ["e", "s + 1", "s + 31"], ["s", 1, "32"]], "target_var_name": "v", "target_value": 32, "value_dict": {"s": 1}, "is_reverse": true}}
| 5,240
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = 1; r = b + 7; a = x + 4; x = r + 17; v = c + 19; c = t + 1; p = j + 11; e = s + 1; o = e + 1; j = a + 13; l = o + 4; b = s + 19; t = l + 5. Given that s = 1, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 32,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 1 to v, which gives v = t + 20.\n2. Substitute t = l + 5 to v, which gives v = l + 25.\n3. Substitute l = o + 4 to v, which gives v = o + 29.\n4. Substitute o = e + 1 to v, which gives v = e + 30.\n5. Substitute e = s + 1 to v, which gives v = s + 31.\n6. Substitute s = 1 to v, which gives v = 32.\n\nThus, the final answer is v = \\boxed{32}.",
"index": 5240,
"question": "Suppose a collection of variables is related by the following definitions: s = 1; r = b + 7; a = x + 4; x = r + 17; v = c + 19; c = t + 1; p = j + 11; e = s + 1; o = e + 1; j = a + 13; l = o + 4; b = s + 19; t = l + 5. Given that s = 1, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"s": "g + 18", "p": "s + 1", "i": "p + 1", "b": "i + 20", "v": "b + 17", "m": "v + 18", "t": "g + 10", "x": "t + 6", "o": "x + 12", "l": "o + 14", "e": "l + 16", "h": "e + 19", "g": 2}, "premises": {"g": 2}, "target": "m"}, "answer": {"steps": [["v", "b + 17", "b + 35"], ["b", "i + 20", "i + 55"], ["i", "p + 1", "p + 56"], ["p", "s + 1", "s + 57"], ["s", "g + 18", "g + 75"], ["g", 2, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"g": 2}, "is_reverse": true}}
| 5,241
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = p + 1; m = v + 18; o = x + 12; t = g + 10; e = l + 16; l = o + 14; s = g + 18; b = i + 20; p = s + 1; g = 2; x = t + 6; v = b + 17; h = e + 19. If g = 2, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 17 to m, which gives m = b + 35.\n2. Substitute b = i + 20 to m, which gives m = i + 55.\n3. Substitute i = p + 1 to m, which gives m = p + 56.\n4. Substitute p = s + 1 to m, which gives m = s + 57.\n5. Substitute s = g + 18 to m, which gives m = g + 75.\n6. Substitute g = 2 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 5241,
"question": "Consider a system of variables where each variable is defined as follows: i = p + 1; m = v + 18; o = x + 12; t = g + 10; e = l + 16; l = o + 14; s = g + 18; b = i + 20; p = s + 1; g = 2; x = t + 6; v = b + 17; h = e + 19. If g = 2, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"a": "j + 5", "n": "a + 7", "i": "n + 5", "h": "i + 18", "v": "h + 10", "s": "v + 11", "k": "j + 11", "f": "k + 12", "z": "f + 8", "t": "z + 9", "x": "t + 10", "l": "x + 17", "j": 18}, "premises": {"j": 18}, "target": "s"}, "answer": {"steps": [["v", "h + 10", "h + 21"], ["h", "i + 18", "i + 39"], ["i", "n + 5", "n + 44"], ["n", "a + 7", "a + 51"], ["a", "j + 5", "j + 56"], ["j", 18, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"j": 18}, "is_reverse": true}}
| 5,242
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = t + 10; z = f + 8; i = n + 5; j = 18; s = v + 11; n = a + 7; f = k + 12; t = z + 9; k = j + 11; v = h + 10; l = x + 17; a = j + 5; h = i + 18. Given that j = 18, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 10 to s, which gives s = h + 21.\n2. Substitute h = i + 18 to s, which gives s = i + 39.\n3. Substitute i = n + 5 to s, which gives s = n + 44.\n4. Substitute n = a + 7 to s, which gives s = a + 51.\n5. Substitute a = j + 5 to s, which gives s = j + 56.\n6. Substitute j = 18 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 5242,
"question": "Suppose a collection of variables is related by the following definitions: x = t + 10; z = f + 8; i = n + 5; j = 18; s = v + 11; n = a + 7; f = k + 12; t = z + 9; k = j + 11; v = h + 10; l = x + 17; a = j + 5; h = i + 18. Given that j = 18, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"v": "q + 19", "r": "v + 8", "s": "r + 20", "d": "s + 3", "f": "d + 18", "z": "f + 18", "p": "q + 12", "l": "p + 20", "e": "l + 13", "x": "e + 1", "t": "x + 9", "g": "t + 3", "q": 11}, "premises": {"q": 11}, "target": "z"}, "answer": {"steps": [["f", "d + 18", "d + 36"], ["d", "s + 3", "s + 39"], ["s", "r + 20", "r + 59"], ["r", "v + 8", "v + 67"], ["v", "q + 19", "q + 86"], ["q", 11, "97"]], "target_var_name": "z", "target_value": 97, "value_dict": {"q": 11}, "is_reverse": true}}
| 5,243
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = d + 18; e = l + 13; d = s + 3; t = x + 9; v = q + 19; q = 11; r = v + 8; s = r + 20; z = f + 18; l = p + 20; p = q + 12; g = t + 3; x = e + 1. Given that q = 11, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 18 to z, which gives z = d + 36.\n2. Substitute d = s + 3 to z, which gives z = s + 39.\n3. Substitute s = r + 20 to z, which gives z = r + 59.\n4. Substitute r = v + 8 to z, which gives z = v + 67.\n5. Substitute v = q + 19 to z, which gives z = q + 86.\n6. Substitute q = 11 to z, which gives z = 97.\n\nThus, the final answer is z = \\boxed{97}.",
"index": 5243,
"question": "Suppose a collection of variables is related by the following definitions: f = d + 18; e = l + 13; d = s + 3; t = x + 9; v = q + 19; q = 11; r = v + 8; s = r + 20; z = f + 18; l = p + 20; p = q + 12; g = t + 3; x = e + 1. Given that q = 11, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"u": "e + 18", "m": "u + 19", "b": "m + 12", "x": "b + 13", "j": "x + 16", "q": "j + 1", "r": "e + 8", "n": "r + 3", "t": "n + 17", "c": "t + 19", "s": "c + 11", "v": "s + 2", "e": 6}, "premises": {"e": 6}, "target": "q"}, "answer": {"steps": [["j", "x + 16", "x + 17"], ["x", "b + 13", "b + 30"], ["b", "m + 12", "m + 42"], ["m", "u + 19", "u + 61"], ["u", "e + 18", "e + 79"], ["e", 6, "85"]], "target_var_name": "q", "target_value": 85, "value_dict": {"e": 6}, "is_reverse": true}}
| 5,244
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 18; v = s + 2; s = c + 11; e = 6; n = r + 3; t = n + 17; q = j + 1; c = t + 19; m = u + 19; b = m + 12; j = x + 16; x = b + 13; r = e + 8. If e = 6, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 16 to q, which gives q = x + 17.\n2. Substitute x = b + 13 to q, which gives q = b + 30.\n3. Substitute b = m + 12 to q, which gives q = m + 42.\n4. Substitute m = u + 19 to q, which gives q = u + 61.\n5. Substitute u = e + 18 to q, which gives q = e + 79.\n6. Substitute e = 6 to q, which gives q = 85.\n\nThus, the final answer is q = \\boxed{85}.",
"index": 5244,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 18; v = s + 2; s = c + 11; e = 6; n = r + 3; t = n + 17; q = j + 1; c = t + 19; m = u + 19; b = m + 12; j = x + 16; x = b + 13; r = e + 8. If e = 6, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"d": "z + 20", "p": "d + 3", "w": "p + 20", "i": "w + 11", "v": "i + 11", "h": "v + 6", "r": "z + 8", "a": "r + 17", "j": "a + 19", "u": "j + 16", "b": "u + 12", "l": "b + 6", "z": 8}, "premises": {"z": 8}, "target": "h"}, "answer": {"steps": [["v", "i + 11", "i + 17"], ["i", "w + 11", "w + 28"], ["w", "p + 20", "p + 48"], ["p", "d + 3", "d + 51"], ["d", "z + 20", "z + 71"], ["z", 8, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"z": 8}, "is_reverse": true}}
| 5,245
| 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 = i + 11; d = z + 20; j = a + 19; b = u + 12; z = 8; l = b + 6; u = j + 16; i = w + 11; w = p + 20; h = v + 6; p = d + 3; a = r + 17; r = z + 8. If z = 8, what is the resulting 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 v = i + 11 to h, which gives h = i + 17.\n2. Substitute i = w + 11 to h, which gives h = w + 28.\n3. Substitute w = p + 20 to h, which gives h = p + 48.\n4. Substitute p = d + 3 to h, which gives h = d + 51.\n5. Substitute d = z + 20 to h, which gives h = z + 71.\n6. Substitute z = 8 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 5245,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = i + 11; d = z + 20; j = a + 19; b = u + 12; z = 8; l = b + 6; u = j + 16; i = w + 11; w = p + 20; h = v + 6; p = d + 3; a = r + 17; r = z + 8. If z = 8, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"q": "f + 17", "s": "q + 18", "o": "s + 19", "x": "o + 16", "a": "x + 16", "d": "a + 4", "m": "f + 14", "p": "m + 1", "n": "p + 4", "u": "n + 19", "h": "u + 1", "c": "h + 19", "f": 8}, "premises": {"f": 8}, "target": "d"}, "answer": {"steps": [["a", "x + 16", "x + 20"], ["x", "o + 16", "o + 36"], ["o", "s + 19", "s + 55"], ["s", "q + 18", "q + 73"], ["q", "f + 17", "f + 90"], ["f", 8, "98"]], "target_var_name": "d", "target_value": 98, "value_dict": {"f": 8}, "is_reverse": true}}
| 5,246
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = a + 4; c = h + 19; o = s + 19; s = q + 18; p = m + 1; x = o + 16; u = n + 19; m = f + 14; q = f + 17; a = x + 16; h = u + 1; f = 8; n = p + 4. If f = 8, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 16 to d, which gives d = x + 20.\n2. Substitute x = o + 16 to d, which gives d = o + 36.\n3. Substitute o = s + 19 to d, which gives d = s + 55.\n4. Substitute s = q + 18 to d, which gives d = q + 73.\n5. Substitute q = f + 17 to d, which gives d = f + 90.\n6. Substitute f = 8 to d, which gives d = 98.\n\nThus, the final answer is d = \\boxed{98}.",
"index": 5246,
"question": "Consider a system of variables where each variable is defined as follows: d = a + 4; c = h + 19; o = s + 19; s = q + 18; p = m + 1; x = o + 16; u = n + 19; m = f + 14; q = f + 17; a = x + 16; h = u + 1; f = 8; n = p + 4. If f = 8, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"x": "q + 4", "a": "x + 16", "i": "a + 1", "c": "i + 10", "f": "c + 4", "y": "f + 14", "g": "q + 10", "p": "g + 4", "n": "p + 15", "d": "n + 1", "l": "d + 12", "b": "l + 5", "q": 16}, "premises": {"q": 16}, "target": "y"}, "answer": {"steps": [["f", "c + 4", "c + 18"], ["c", "i + 10", "i + 28"], ["i", "a + 1", "a + 29"], ["a", "x + 16", "x + 45"], ["x", "q + 4", "q + 49"], ["q", 16, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"q": 16}, "is_reverse": true}}
| 5,247
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = n + 1; b = l + 5; g = q + 10; f = c + 4; i = a + 1; q = 16; y = f + 14; a = x + 16; l = d + 12; p = g + 4; n = p + 15; x = q + 4; c = i + 10. If q = 16, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 4 to y, which gives y = c + 18.\n2. Substitute c = i + 10 to y, which gives y = i + 28.\n3. Substitute i = a + 1 to y, which gives y = a + 29.\n4. Substitute a = x + 16 to y, which gives y = x + 45.\n5. Substitute x = q + 4 to y, which gives y = q + 49.\n6. Substitute q = 16 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 5247,
"question": "Consider a system of variables where each variable is defined as follows: d = n + 1; b = l + 5; g = q + 10; f = c + 4; i = a + 1; q = 16; y = f + 14; a = x + 16; l = d + 12; p = g + 4; n = p + 15; x = q + 4; c = i + 10. If q = 16, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"g": "z + 1", "c": "g + 9", "v": "c + 11", "f": "v + 20", "u": "f + 5", "j": "u + 3", "i": "z + 1", "n": "i + 9", "o": "n + 11", "m": "o + 4", "d": "m + 17", "p": "d + 13", "z": 13}, "premises": {"z": 13}, "target": "j"}, "answer": {"steps": [["u", "f + 5", "f + 8"], ["f", "v + 20", "v + 28"], ["v", "c + 11", "c + 39"], ["c", "g + 9", "g + 48"], ["g", "z + 1", "z + 49"], ["z", 13, "62"]], "target_var_name": "j", "target_value": 62, "value_dict": {"z": 13}, "is_reverse": true}}
| 5,248
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 13; i = z + 1; f = v + 20; m = o + 4; n = i + 9; z = 13; d = m + 17; v = c + 11; u = f + 5; o = n + 11; g = z + 1; j = u + 3; c = g + 9. If z = 13, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = f + 5 to j, which gives j = f + 8.\n2. Substitute f = v + 20 to j, which gives j = v + 28.\n3. Substitute v = c + 11 to j, which gives j = c + 39.\n4. Substitute c = g + 9 to j, which gives j = g + 48.\n5. Substitute g = z + 1 to j, which gives j = z + 49.\n6. Substitute z = 13 to j, which gives j = 62.\n\nThus, the final answer is j = \\boxed{62}.",
"index": 5248,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 13; i = z + 1; f = v + 20; m = o + 4; n = i + 9; z = 13; d = m + 17; v = c + 11; u = f + 5; o = n + 11; g = z + 1; j = u + 3; c = g + 9. If z = 13, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"o": "r + 13", "m": "o + 14", "q": "m + 14", "c": "q + 14", "v": "c + 12", "f": "v + 20", "e": "r + 7", "t": "e + 15", "s": "t + 20", "b": "s + 15", "w": "b + 3", "l": "w + 3", "r": 9}, "premises": {"r": 9}, "target": "f"}, "answer": {"steps": [["v", "c + 12", "c + 32"], ["c", "q + 14", "q + 46"], ["q", "m + 14", "m + 60"], ["m", "o + 14", "o + 74"], ["o", "r + 13", "r + 87"], ["r", 9, "96"]], "target_var_name": "f", "target_value": 96, "value_dict": {"r": 9}, "is_reverse": true}}
| 5,249
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = m + 14; l = w + 3; o = r + 13; r = 9; b = s + 15; w = b + 3; m = o + 14; f = v + 20; t = e + 15; c = q + 14; e = r + 7; s = t + 20; v = c + 12. Given that r = 9, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 12 to f, which gives f = c + 32.\n2. Substitute c = q + 14 to f, which gives f = q + 46.\n3. Substitute q = m + 14 to f, which gives f = m + 60.\n4. Substitute m = o + 14 to f, which gives f = o + 74.\n5. Substitute o = r + 13 to f, which gives f = r + 87.\n6. Substitute r = 9 to f, which gives f = 96.\n\nThus, the final answer is f = \\boxed{96}.",
"index": 5249,
"question": "Suppose a collection of variables is related by the following definitions: q = m + 14; l = w + 3; o = r + 13; r = 9; b = s + 15; w = b + 3; m = o + 14; f = v + 20; t = e + 15; c = q + 14; e = r + 7; s = t + 20; v = c + 12. Given that r = 9, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"r": "l + 4", "o": "r + 13", "y": "o + 14", "q": "y + 2", "h": "q + 11", "a": "h + 8", "b": "l + 6", "k": "b + 16", "n": "k + 12", "e": "n + 11", "i": "e + 10", "g": "i + 19", "l": 1}, "premises": {"l": 1}, "target": "a"}, "answer": {"steps": [["h", "q + 11", "q + 19"], ["q", "y + 2", "y + 21"], ["y", "o + 14", "o + 35"], ["o", "r + 13", "r + 48"], ["r", "l + 4", "l + 52"], ["l", 1, "53"]], "target_var_name": "a", "target_value": 53, "value_dict": {"l": 1}, "is_reverse": true}}
| 5,250
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = l + 6; i = e + 10; n = k + 12; a = h + 8; e = n + 11; y = o + 14; l = 1; q = y + 2; o = r + 13; k = b + 16; r = l + 4; g = i + 19; h = q + 11. Given that l = 1, find 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 h = q + 11 to a, which gives a = q + 19.\n2. Substitute q = y + 2 to a, which gives a = y + 21.\n3. Substitute y = o + 14 to a, which gives a = o + 35.\n4. Substitute o = r + 13 to a, which gives a = r + 48.\n5. Substitute r = l + 4 to a, which gives a = l + 52.\n6. Substitute l = 1 to a, which gives a = 53.\n\nThus, the final answer is a = \\boxed{53}.",
"index": 5250,
"question": "Suppose a collection of variables is related by the following definitions: b = l + 6; i = e + 10; n = k + 12; a = h + 8; e = n + 11; y = o + 14; l = 1; q = y + 2; o = r + 13; k = b + 16; r = l + 4; g = i + 19; h = q + 11. Given that l = 1, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"h": "b + 9", "r": "h + 3", "y": "r + 12", "i": "y + 18", "c": "i + 11", "x": "c + 19", "z": "b + 7", "w": "z + 16", "p": "w + 10", "u": "p + 16", "s": "u + 12", "d": "s + 1", "b": 5}, "premises": {"b": 5}, "target": "x"}, "answer": {"steps": [["c", "i + 11", "i + 30"], ["i", "y + 18", "y + 48"], ["y", "r + 12", "r + 60"], ["r", "h + 3", "h + 63"], ["h", "b + 9", "b + 72"], ["b", 5, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"b": 5}, "is_reverse": true}}
| 5,251
| 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 = 5; r = h + 3; d = s + 1; p = w + 10; c = i + 11; z = b + 7; s = u + 12; y = r + 12; w = z + 16; i = y + 18; x = c + 19; h = b + 9; u = p + 16. If b = 5, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 11 to x, which gives x = i + 30.\n2. Substitute i = y + 18 to x, which gives x = y + 48.\n3. Substitute y = r + 12 to x, which gives x = r + 60.\n4. Substitute r = h + 3 to x, which gives x = h + 63.\n5. Substitute h = b + 9 to x, which gives x = b + 72.\n6. Substitute b = 5 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 5251,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = 5; r = h + 3; d = s + 1; p = w + 10; c = i + 11; z = b + 7; s = u + 12; y = r + 12; w = z + 16; i = y + 18; x = c + 19; h = b + 9; u = p + 16. If b = 5, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"c": "b + 12", "u": "c + 14", "v": "u + 6", "k": "v + 14", "o": "k + 11", "m": "o + 20", "h": "b + 16", "p": "h + 10", "j": "p + 2", "s": "j + 6", "x": "s + 20", "z": "x + 2", "b": 15}, "premises": {"b": 15}, "target": "m"}, "answer": {"steps": [["o", "k + 11", "k + 31"], ["k", "v + 14", "v + 45"], ["v", "u + 6", "u + 51"], ["u", "c + 14", "c + 65"], ["c", "b + 12", "b + 77"], ["b", 15, "92"]], "target_var_name": "m", "target_value": 92, "value_dict": {"b": 15}, "is_reverse": true}}
| 5,252
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = s + 20; p = h + 10; c = b + 12; j = p + 2; z = x + 2; v = u + 6; s = j + 6; h = b + 16; m = o + 20; b = 15; o = k + 11; k = v + 14; u = c + 14. If b = 15, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 11 to m, which gives m = k + 31.\n2. Substitute k = v + 14 to m, which gives m = v + 45.\n3. Substitute v = u + 6 to m, which gives m = u + 51.\n4. Substitute u = c + 14 to m, which gives m = c + 65.\n5. Substitute c = b + 12 to m, which gives m = b + 77.\n6. Substitute b = 15 to m, which gives m = 92.\n\nThus, the final answer is m = \\boxed{92}.",
"index": 5252,
"question": "Consider a system of variables where each variable is defined as follows: x = s + 20; p = h + 10; c = b + 12; j = p + 2; z = x + 2; v = u + 6; s = j + 6; h = b + 16; m = o + 20; b = 15; o = k + 11; k = v + 14; u = c + 14. If b = 15, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"n": "f + 13", "a": "n + 7", "v": "a + 10", "s": "v + 16", "t": "s + 18", "h": "t + 12", "e": "f + 13", "p": "e + 12", "j": "p + 8", "l": "j + 11", "r": "l + 1", "q": "r + 6", "f": 4}, "premises": {"f": 4}, "target": "h"}, "answer": {"steps": [["t", "s + 18", "s + 30"], ["s", "v + 16", "v + 46"], ["v", "a + 10", "a + 56"], ["a", "n + 7", "n + 63"], ["n", "f + 13", "f + 76"], ["f", 4, "80"]], "target_var_name": "h", "target_value": 80, "value_dict": {"f": 4}, "is_reverse": true}}
| 5,253
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = r + 6; f = 4; v = a + 10; p = e + 12; r = l + 1; n = f + 13; s = v + 16; j = p + 8; a = n + 7; l = j + 11; h = t + 12; t = s + 18; e = f + 13. Given that f = 4, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 18 to h, which gives h = s + 30.\n2. Substitute s = v + 16 to h, which gives h = v + 46.\n3. Substitute v = a + 10 to h, which gives h = a + 56.\n4. Substitute a = n + 7 to h, which gives h = n + 63.\n5. Substitute n = f + 13 to h, which gives h = f + 76.\n6. Substitute f = 4 to h, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 5253,
"question": "Suppose a collection of variables is related by the following definitions: q = r + 6; f = 4; v = a + 10; p = e + 12; r = l + 1; n = f + 13; s = v + 16; j = p + 8; a = n + 7; l = j + 11; h = t + 12; t = s + 18; e = f + 13. Given that f = 4, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"a": "x + 18", "n": "a + 4", "c": "n + 9", "k": "c + 3", "m": "k + 5", "u": "m + 1", "i": "x + 15", "p": "i + 13", "s": "p + 12", "y": "s + 11", "w": "y + 4", "h": "w + 17", "x": 7}, "premises": {"x": 7}, "target": "u"}, "answer": {"steps": [["m", "k + 5", "k + 6"], ["k", "c + 3", "c + 9"], ["c", "n + 9", "n + 18"], ["n", "a + 4", "a + 22"], ["a", "x + 18", "x + 40"], ["x", 7, "47"]], "target_var_name": "u", "target_value": 47, "value_dict": {"x": 7}, "is_reverse": true}}
| 5,254
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 17; n = a + 4; c = n + 9; m = k + 5; p = i + 13; w = y + 4; x = 7; u = m + 1; i = x + 15; k = c + 3; s = p + 12; y = s + 11; a = x + 18. If x = 7, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 5 to u, which gives u = k + 6.\n2. Substitute k = c + 3 to u, which gives u = c + 9.\n3. Substitute c = n + 9 to u, which gives u = n + 18.\n4. Substitute n = a + 4 to u, which gives u = a + 22.\n5. Substitute a = x + 18 to u, which gives u = x + 40.\n6. Substitute x = 7 to u, which gives u = 47.\n\nThus, the final answer is u = \\boxed{47}.",
"index": 5254,
"question": "Consider a system of variables where each variable is defined as follows: h = w + 17; n = a + 4; c = n + 9; m = k + 5; p = i + 13; w = y + 4; x = 7; u = m + 1; i = x + 15; k = c + 3; s = p + 12; y = s + 11; a = x + 18. If x = 7, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"k": "o + 16", "n": "k + 17", "e": "n + 7", "w": "e + 16", "u": "w + 5", "v": "u + 16", "s": "o + 20", "x": "s + 2", "h": "x + 8", "r": "h + 18", "g": "r + 11", "y": "g + 17", "o": 10}, "premises": {"o": 10}, "target": "v"}, "answer": {"steps": [["u", "w + 5", "w + 21"], ["w", "e + 16", "e + 37"], ["e", "n + 7", "n + 44"], ["n", "k + 17", "k + 61"], ["k", "o + 16", "o + 77"], ["o", 10, "87"]], "target_var_name": "v", "target_value": 87, "value_dict": {"o": 10}, "is_reverse": true}}
| 5,255
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = o + 20; h = x + 8; v = u + 16; k = o + 16; n = k + 17; r = h + 18; w = e + 16; e = n + 7; g = r + 11; o = 10; u = w + 5; x = s + 2; y = g + 17. Given that o = 10, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 5 to v, which gives v = w + 21.\n2. Substitute w = e + 16 to v, which gives v = e + 37.\n3. Substitute e = n + 7 to v, which gives v = n + 44.\n4. Substitute n = k + 17 to v, which gives v = k + 61.\n5. Substitute k = o + 16 to v, which gives v = o + 77.\n6. Substitute o = 10 to v, which gives v = 87.\n\nThus, the final answer is v = \\boxed{87}.",
"index": 5255,
"question": "Suppose a collection of variables is related by the following definitions: s = o + 20; h = x + 8; v = u + 16; k = o + 16; n = k + 17; r = h + 18; w = e + 16; e = n + 7; g = r + 11; o = 10; u = w + 5; x = s + 2; y = g + 17. Given that o = 10, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"s": "y + 13", "t": "s + 11", "e": "t + 13", "m": "e + 20", "j": "m + 8", "a": "j + 10", "v": "y + 13", "w": "v + 18", "l": "w + 10", "p": "l + 10", "d": "p + 7", "z": "d + 18", "y": 6}, "premises": {"y": 6}, "target": "a"}, "answer": {"steps": [["j", "m + 8", "m + 18"], ["m", "e + 20", "e + 38"], ["e", "t + 13", "t + 51"], ["t", "s + 11", "s + 62"], ["s", "y + 13", "y + 75"], ["y", 6, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"y": 6}, "is_reverse": true}}
| 5,256
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = t + 13; j = m + 8; z = d + 18; y = 6; s = y + 13; d = p + 7; t = s + 11; w = v + 18; p = l + 10; m = e + 20; v = y + 13; l = w + 10; a = j + 10. If y = 6, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 8 to a, which gives a = m + 18.\n2. Substitute m = e + 20 to a, which gives a = e + 38.\n3. Substitute e = t + 13 to a, which gives a = t + 51.\n4. Substitute t = s + 11 to a, which gives a = s + 62.\n5. Substitute s = y + 13 to a, which gives a = y + 75.\n6. Substitute y = 6 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 5256,
"question": "Consider a system of variables where each variable is defined as follows: e = t + 13; j = m + 8; z = d + 18; y = 6; s = y + 13; d = p + 7; t = s + 11; w = v + 18; p = l + 10; m = e + 20; v = y + 13; l = w + 10; a = j + 10. If y = 6, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"j": "e + 7", "a": "j + 16", "y": "a + 1", "i": "y + 19", "x": "i + 11", "v": "x + 15", "o": "e + 10", "m": "o + 6", "d": "m + 18", "l": "d + 19", "n": "l + 7", "u": "n + 5", "e": 16}, "premises": {"e": 16}, "target": "v"}, "answer": {"steps": [["x", "i + 11", "i + 26"], ["i", "y + 19", "y + 45"], ["y", "a + 1", "a + 46"], ["a", "j + 16", "j + 62"], ["j", "e + 7", "e + 69"], ["e", 16, "85"]], "target_var_name": "v", "target_value": 85, "value_dict": {"e": 16}, "is_reverse": true}}
| 5,257
| 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 = a + 1; a = j + 16; n = l + 7; e = 16; j = e + 7; m = o + 6; o = e + 10; d = m + 18; x = i + 11; u = n + 5; v = x + 15; i = y + 19; l = d + 19. If e = 16, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 11 to v, which gives v = i + 26.\n2. Substitute i = y + 19 to v, which gives v = y + 45.\n3. Substitute y = a + 1 to v, which gives v = a + 46.\n4. Substitute a = j + 16 to v, which gives v = j + 62.\n5. Substitute j = e + 7 to v, which gives v = e + 69.\n6. Substitute e = 16 to v, which gives v = 85.\n\nThus, the final answer is v = \\boxed{85}.",
"index": 5257,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = a + 1; a = j + 16; n = l + 7; e = 16; j = e + 7; m = o + 6; o = e + 10; d = m + 18; x = i + 11; u = n + 5; v = x + 15; i = y + 19; l = d + 19. If e = 16, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"i": "y + 12", "l": "i + 1", "e": "l + 4", "k": "e + 15", "w": "k + 6", "z": "w + 16", "c": "y + 3", "f": "c + 15", "g": "f + 16", "u": "g + 9", "p": "u + 15", "o": "p + 3", "y": 12}, "premises": {"y": 12}, "target": "z"}, "answer": {"steps": [["w", "k + 6", "k + 22"], ["k", "e + 15", "e + 37"], ["e", "l + 4", "l + 41"], ["l", "i + 1", "i + 42"], ["i", "y + 12", "y + 54"], ["y", 12, "66"]], "target_var_name": "z", "target_value": 66, "value_dict": {"y": 12}, "is_reverse": true}}
| 5,258
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = e + 15; y = 12; i = y + 12; g = f + 16; p = u + 15; z = w + 16; w = k + 6; u = g + 9; l = i + 1; e = l + 4; o = p + 3; c = y + 3; f = c + 15. Given that y = 12, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 6 to z, which gives z = k + 22.\n2. Substitute k = e + 15 to z, which gives z = e + 37.\n3. Substitute e = l + 4 to z, which gives z = l + 41.\n4. Substitute l = i + 1 to z, which gives z = i + 42.\n5. Substitute i = y + 12 to z, which gives z = y + 54.\n6. Substitute y = 12 to z, which gives z = 66.\n\nThus, the final answer is z = \\boxed{66}.",
"index": 5258,
"question": "Suppose a collection of variables is related by the following definitions: k = e + 15; y = 12; i = y + 12; g = f + 16; p = u + 15; z = w + 16; w = k + 6; u = g + 9; l = i + 1; e = l + 4; o = p + 3; c = y + 3; f = c + 15. Given that y = 12, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"f": "a + 10", "m": "f + 11", "z": "m + 8", "p": "z + 13", "v": "p + 1", "d": "v + 10", "x": "a + 8", "q": "x + 9", "r": "q + 14", "o": "r + 7", "n": "o + 20", "i": "n + 10", "a": 14}, "premises": {"a": 14}, "target": "d"}, "answer": {"steps": [["v", "p + 1", "p + 11"], ["p", "z + 13", "z + 24"], ["z", "m + 8", "m + 32"], ["m", "f + 11", "f + 43"], ["f", "a + 10", "a + 53"], ["a", 14, "67"]], "target_var_name": "d", "target_value": 67, "value_dict": {"a": 14}, "is_reverse": true}}
| 5,259
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = p + 1; d = v + 10; x = a + 8; m = f + 11; a = 14; q = x + 9; i = n + 10; z = m + 8; o = r + 7; f = a + 10; r = q + 14; n = o + 20; p = z + 13. If a = 14, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 1 to d, which gives d = p + 11.\n2. Substitute p = z + 13 to d, which gives d = z + 24.\n3. Substitute z = m + 8 to d, which gives d = m + 32.\n4. Substitute m = f + 11 to d, which gives d = f + 43.\n5. Substitute f = a + 10 to d, which gives d = a + 53.\n6. Substitute a = 14 to d, which gives d = 67.\n\nThus, the final answer is d = \\boxed{67}.",
"index": 5259,
"question": "Consider a system of variables where each variable is defined as follows: v = p + 1; d = v + 10; x = a + 8; m = f + 11; a = 14; q = x + 9; i = n + 10; z = m + 8; o = r + 7; f = a + 10; r = q + 14; n = o + 20; p = z + 13. If a = 14, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"o": "r + 11", "w": "o + 13", "e": "w + 9", "d": "e + 17", "s": "d + 2", "i": "s + 11", "b": "r + 13", "c": "b + 19", "v": "c + 1", "j": "v + 20", "n": "j + 13", "m": "n + 19", "r": 3}, "premises": {"r": 3}, "target": "i"}, "answer": {"steps": [["s", "d + 2", "d + 13"], ["d", "e + 17", "e + 30"], ["e", "w + 9", "w + 39"], ["w", "o + 13", "o + 52"], ["o", "r + 11", "r + 63"], ["r", 3, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"r": 3}, "is_reverse": true}}
| 5,260
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = s + 11; m = n + 19; w = o + 13; n = j + 13; j = v + 20; r = 3; c = b + 19; d = e + 17; e = w + 9; s = d + 2; o = r + 11; b = r + 13; v = c + 1. Given that r = 3, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 2 to i, which gives i = d + 13.\n2. Substitute d = e + 17 to i, which gives i = e + 30.\n3. Substitute e = w + 9 to i, which gives i = w + 39.\n4. Substitute w = o + 13 to i, which gives i = o + 52.\n5. Substitute o = r + 11 to i, which gives i = r + 63.\n6. Substitute r = 3 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 5260,
"question": "Suppose a collection of variables is related by the following definitions: i = s + 11; m = n + 19; w = o + 13; n = j + 13; j = v + 20; r = 3; c = b + 19; d = e + 17; e = w + 9; s = d + 2; o = r + 11; b = r + 13; v = c + 1. Given that r = 3, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"y": "o + 10", "m": "y + 17", "w": "m + 9", "k": "w + 14", "c": "k + 15", "a": "c + 5", "j": "o + 14", "p": "j + 12", "r": "p + 4", "d": "r + 20", "q": "d + 5", "x": "q + 15", "o": 8}, "premises": {"o": 8}, "target": "a"}, "answer": {"steps": [["c", "k + 15", "k + 20"], ["k", "w + 14", "w + 34"], ["w", "m + 9", "m + 43"], ["m", "y + 17", "y + 60"], ["y", "o + 10", "o + 70"], ["o", 8, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"o": 8}, "is_reverse": true}}
| 5,261
| 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 = c + 5; m = y + 17; w = m + 9; j = o + 14; k = w + 14; c = k + 15; p = j + 12; y = o + 10; d = r + 20; r = p + 4; o = 8; x = q + 15; q = d + 5. If o = 8, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 15 to a, which gives a = k + 20.\n2. Substitute k = w + 14 to a, which gives a = w + 34.\n3. Substitute w = m + 9 to a, which gives a = m + 43.\n4. Substitute m = y + 17 to a, which gives a = y + 60.\n5. Substitute y = o + 10 to a, which gives a = o + 70.\n6. Substitute o = 8 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 5261,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = c + 5; m = y + 17; w = m + 9; j = o + 14; k = w + 14; c = k + 15; p = j + 12; y = o + 10; d = r + 20; r = p + 4; o = 8; x = q + 15; q = d + 5. If o = 8, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"v": "g + 5", "r": "v + 4", "q": "r + 7", "c": "q + 16", "b": "c + 12", "m": "b + 3", "f": "g + 4", "h": "f + 6", "d": "h + 2", "n": "d + 17", "u": "n + 18", "w": "u + 2", "g": 6}, "premises": {"g": 6}, "target": "m"}, "answer": {"steps": [["b", "c + 12", "c + 15"], ["c", "q + 16", "q + 31"], ["q", "r + 7", "r + 38"], ["r", "v + 4", "v + 42"], ["v", "g + 5", "g + 47"], ["g", 6, "53"]], "target_var_name": "m", "target_value": 53, "value_dict": {"g": 6}, "is_reverse": true}}
| 5,262
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = c + 12; v = g + 5; c = q + 16; u = n + 18; f = g + 4; w = u + 2; d = h + 2; r = v + 4; q = r + 7; g = 6; h = f + 6; m = b + 3; n = d + 17. Given that g = 6, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 12 to m, which gives m = c + 15.\n2. Substitute c = q + 16 to m, which gives m = q + 31.\n3. Substitute q = r + 7 to m, which gives m = r + 38.\n4. Substitute r = v + 4 to m, which gives m = v + 42.\n5. Substitute v = g + 5 to m, which gives m = g + 47.\n6. Substitute g = 6 to m, which gives m = 53.\n\nThus, the final answer is m = \\boxed{53}.",
"index": 5262,
"question": "Suppose a collection of variables is related by the following definitions: b = c + 12; v = g + 5; c = q + 16; u = n + 18; f = g + 4; w = u + 2; d = h + 2; r = v + 4; q = r + 7; g = 6; h = f + 6; m = b + 3; n = d + 17. Given that g = 6, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"l": "r + 3", "a": "l + 6", "g": "a + 17", "j": "g + 7", "v": "j + 1", "m": "v + 17", "e": "r + 5", "i": "e + 17", "w": "i + 16", "c": "w + 1", "q": "c + 2", "y": "q + 8", "r": 6}, "premises": {"r": 6}, "target": "m"}, "answer": {"steps": [["v", "j + 1", "j + 18"], ["j", "g + 7", "g + 25"], ["g", "a + 17", "a + 42"], ["a", "l + 6", "l + 48"], ["l", "r + 3", "r + 51"], ["r", 6, "57"]], "target_var_name": "m", "target_value": 57, "value_dict": {"r": 6}, "is_reverse": true}}
| 5,263
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = g + 7; v = j + 1; w = i + 16; g = a + 17; l = r + 3; r = 6; e = r + 5; i = e + 17; q = c + 2; m = v + 17; y = q + 8; a = l + 6; c = w + 1. Given that r = 6, 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 v = j + 1 to m, which gives m = j + 18.\n2. Substitute j = g + 7 to m, which gives m = g + 25.\n3. Substitute g = a + 17 to m, which gives m = a + 42.\n4. Substitute a = l + 6 to m, which gives m = l + 48.\n5. Substitute l = r + 3 to m, which gives m = r + 51.\n6. Substitute r = 6 to m, which gives m = 57.\n\nThus, the final answer is m = \\boxed{57}.",
"index": 5263,
"question": "Suppose a collection of variables is related by the following definitions: j = g + 7; v = j + 1; w = i + 16; g = a + 17; l = r + 3; r = 6; e = r + 5; i = e + 17; q = c + 2; m = v + 17; y = q + 8; a = l + 6; c = w + 1. Given that r = 6, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 7", "j": "o + 9", "f": "j + 7", "q": "f + 6", "i": "q + 16", "w": "i + 7", "m": "a + 19", "v": "m + 9", "d": "v + 11", "z": "d + 11", "s": "z + 20", "x": "s + 10", "a": 11}, "premises": {"a": 11}, "target": "w"}, "answer": {"steps": [["i", "q + 16", "q + 23"], ["q", "f + 6", "f + 29"], ["f", "j + 7", "j + 36"], ["j", "o + 9", "o + 45"], ["o", "a + 7", "a + 52"], ["a", 11, "63"]], "target_var_name": "w", "target_value": 63, "value_dict": {"a": 11}, "is_reverse": true}}
| 5,264
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = i + 7; a = 11; f = j + 7; x = s + 10; m = a + 19; s = z + 20; v = m + 9; z = d + 11; d = v + 11; q = f + 6; o = a + 7; j = o + 9; i = q + 16. If a = 11, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 16 to w, which gives w = q + 23.\n2. Substitute q = f + 6 to w, which gives w = f + 29.\n3. Substitute f = j + 7 to w, which gives w = j + 36.\n4. Substitute j = o + 9 to w, which gives w = o + 45.\n5. Substitute o = a + 7 to w, which gives w = a + 52.\n6. Substitute a = 11 to w, which gives w = 63.\n\nThus, the final answer is w = \\boxed{63}.",
"index": 5264,
"question": "Consider a system of variables where each variable is defined as follows: w = i + 7; a = 11; f = j + 7; x = s + 10; m = a + 19; s = z + 20; v = m + 9; z = d + 11; d = v + 11; q = f + 6; o = a + 7; j = o + 9; i = q + 16. If a = 11, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"n": "b + 15", "z": "n + 13", "s": "z + 17", "y": "s + 6", "j": "y + 14", "i": "j + 16", "c": "b + 2", "o": "c + 7", "l": "o + 18", "m": "l + 16", "f": "m + 15", "p": "f + 5", "b": 13}, "premises": {"b": 13}, "target": "i"}, "answer": {"steps": [["j", "y + 14", "y + 30"], ["y", "s + 6", "s + 36"], ["s", "z + 17", "z + 53"], ["z", "n + 13", "n + 66"], ["n", "b + 15", "b + 81"], ["b", 13, "94"]], "target_var_name": "i", "target_value": 94, "value_dict": {"b": 13}, "is_reverse": true}}
| 5,265
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = n + 13; p = f + 5; i = j + 16; l = o + 18; y = s + 6; b = 13; m = l + 16; f = m + 15; c = b + 2; o = c + 7; n = b + 15; j = y + 14; s = z + 17. If b = 13, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 14 to i, which gives i = y + 30.\n2. Substitute y = s + 6 to i, which gives i = s + 36.\n3. Substitute s = z + 17 to i, which gives i = z + 53.\n4. Substitute z = n + 13 to i, which gives i = n + 66.\n5. Substitute n = b + 15 to i, which gives i = b + 81.\n6. Substitute b = 13 to i, which gives i = 94.\n\nThus, the final answer is i = \\boxed{94}.",
"index": 5265,
"question": "Consider a system of variables where each variable is defined as follows: z = n + 13; p = f + 5; i = j + 16; l = o + 18; y = s + 6; b = 13; m = l + 16; f = m + 15; c = b + 2; o = c + 7; n = b + 15; j = y + 14; s = z + 17. If b = 13, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"e": "w + 20", "b": "e + 19", "t": "b + 6", "l": "t + 11", "p": "l + 1", "k": "p + 20", "s": "w + 14", "y": "s + 20", "c": "y + 16", "h": "c + 3", "q": "h + 1", "f": "q + 15", "w": 15}, "premises": {"w": 15}, "target": "k"}, "answer": {"steps": [["p", "l + 1", "l + 21"], ["l", "t + 11", "t + 32"], ["t", "b + 6", "b + 38"], ["b", "e + 19", "e + 57"], ["e", "w + 20", "w + 77"], ["w", 15, "92"]], "target_var_name": "k", "target_value": 92, "value_dict": {"w": 15}, "is_reverse": true}}
| 5,266
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = w + 20; k = p + 20; l = t + 11; t = b + 6; s = w + 14; w = 15; c = y + 16; y = s + 20; p = l + 1; f = q + 15; b = e + 19; h = c + 3; q = h + 1. If w = 15, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 1 to k, which gives k = l + 21.\n2. Substitute l = t + 11 to k, which gives k = t + 32.\n3. Substitute t = b + 6 to k, which gives k = b + 38.\n4. Substitute b = e + 19 to k, which gives k = e + 57.\n5. Substitute e = w + 20 to k, which gives k = w + 77.\n6. Substitute w = 15 to k, which gives k = 92.\n\nThus, the final answer is k = \\boxed{92}.",
"index": 5266,
"question": "Consider a system of variables where each variable is defined as follows: e = w + 20; k = p + 20; l = t + 11; t = b + 6; s = w + 14; w = 15; c = y + 16; y = s + 20; p = l + 1; f = q + 15; b = e + 19; h = c + 3; q = h + 1. If w = 15, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"e": "w + 6", "d": "e + 16", "g": "d + 18", "y": "g + 10", "t": "y + 9", "s": "t + 14", "i": "w + 17", "o": "i + 15", "l": "o + 17", "u": "l + 2", "r": "u + 2", "k": "r + 12", "w": 13}, "premises": {"w": 13}, "target": "s"}, "answer": {"steps": [["t", "y + 9", "y + 23"], ["y", "g + 10", "g + 33"], ["g", "d + 18", "d + 51"], ["d", "e + 16", "e + 67"], ["e", "w + 6", "w + 73"], ["w", 13, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"w": 13}, "is_reverse": true}}
| 5,267
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 9; y = g + 10; e = w + 6; w = 13; k = r + 12; u = l + 2; g = d + 18; o = i + 15; s = t + 14; l = o + 17; d = e + 16; r = u + 2; i = w + 17. If w = 13, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 9 to s, which gives s = y + 23.\n2. Substitute y = g + 10 to s, which gives s = g + 33.\n3. Substitute g = d + 18 to s, which gives s = d + 51.\n4. Substitute d = e + 16 to s, which gives s = e + 67.\n5. Substitute e = w + 6 to s, which gives s = w + 73.\n6. Substitute w = 13 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 5267,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 9; y = g + 10; e = w + 6; w = 13; k = r + 12; u = l + 2; g = d + 18; o = i + 15; s = t + 14; l = o + 17; d = e + 16; r = u + 2; i = w + 17. If w = 13, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"s": "l + 20", "f": "s + 6", "a": "f + 12", "j": "a + 2", "u": "j + 6", "x": "u + 5", "h": "l + 19", "c": "h + 11", "w": "c + 7", "n": "w + 6", "g": "n + 19", "q": "g + 13", "l": 5}, "premises": {"l": 5}, "target": "x"}, "answer": {"steps": [["u", "j + 6", "j + 11"], ["j", "a + 2", "a + 13"], ["a", "f + 12", "f + 25"], ["f", "s + 6", "s + 31"], ["s", "l + 20", "l + 51"], ["l", 5, "56"]], "target_var_name": "x", "target_value": 56, "value_dict": {"l": 5}, "is_reverse": true}}
| 5,268
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = w + 6; f = s + 6; u = j + 6; h = l + 19; x = u + 5; s = l + 20; q = g + 13; g = n + 19; a = f + 12; l = 5; c = h + 11; j = a + 2; w = c + 7. If l = 5, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 6 to x, which gives x = j + 11.\n2. Substitute j = a + 2 to x, which gives x = a + 13.\n3. Substitute a = f + 12 to x, which gives x = f + 25.\n4. Substitute f = s + 6 to x, which gives x = s + 31.\n5. Substitute s = l + 20 to x, which gives x = l + 51.\n6. Substitute l = 5 to x, which gives x = 56.\n\nThus, the final answer is x = \\boxed{56}.",
"index": 5268,
"question": "Consider a system of variables where each variable is defined as follows: n = w + 6; f = s + 6; u = j + 6; h = l + 19; x = u + 5; s = l + 20; q = g + 13; g = n + 19; a = f + 12; l = 5; c = h + 11; j = a + 2; w = c + 7. If l = 5, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"y": "r + 6", "k": "y + 15", "a": "k + 3", "e": "a + 1", "u": "e + 4", "v": "u + 1", "t": "r + 11", "o": "t + 7", "x": "o + 5", "f": "x + 12", "w": "f + 15", "l": "w + 18", "r": 15}, "premises": {"r": 15}, "target": "v"}, "answer": {"steps": [["u", "e + 4", "e + 5"], ["e", "a + 1", "a + 6"], ["a", "k + 3", "k + 9"], ["k", "y + 15", "y + 24"], ["y", "r + 6", "r + 30"], ["r", 15, "45"]], "target_var_name": "v", "target_value": 45, "value_dict": {"r": 15}, "is_reverse": true}}
| 5,269
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = a + 1; a = k + 3; x = o + 5; u = e + 4; w = f + 15; y = r + 6; l = w + 18; f = x + 12; t = r + 11; r = 15; o = t + 7; k = y + 15; v = u + 1. Given that r = 15, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 4 to v, which gives v = e + 5.\n2. Substitute e = a + 1 to v, which gives v = a + 6.\n3. Substitute a = k + 3 to v, which gives v = k + 9.\n4. Substitute k = y + 15 to v, which gives v = y + 24.\n5. Substitute y = r + 6 to v, which gives v = r + 30.\n6. Substitute r = 15 to v, which gives v = 45.\n\nThus, the final answer is v = \\boxed{45}.",
"index": 5269,
"question": "Suppose a collection of variables is related by the following definitions: e = a + 1; a = k + 3; x = o + 5; u = e + 4; w = f + 15; y = r + 6; l = w + 18; f = x + 12; t = r + 11; r = 15; o = t + 7; k = y + 15; v = u + 1. Given that r = 15, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"e": "r + 9", "q": "e + 12", "t": "q + 5", "m": "t + 2", "h": "m + 4", "x": "h + 18", "j": "r + 5", "g": "j + 15", "y": "g + 13", "s": "y + 19", "v": "s + 15", "d": "v + 17", "r": 19}, "premises": {"r": 19}, "target": "x"}, "answer": {"steps": [["h", "m + 4", "m + 22"], ["m", "t + 2", "t + 24"], ["t", "q + 5", "q + 29"], ["q", "e + 12", "e + 41"], ["e", "r + 9", "r + 50"], ["r", 19, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"r": 19}, "is_reverse": true}}
| 5,270
| 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 = 19; y = g + 13; j = r + 5; g = j + 15; x = h + 18; d = v + 17; t = q + 5; e = r + 9; h = m + 4; m = t + 2; v = s + 15; q = e + 12; s = y + 19. If r = 19, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 4 to x, which gives x = m + 22.\n2. Substitute m = t + 2 to x, which gives x = t + 24.\n3. Substitute t = q + 5 to x, which gives x = q + 29.\n4. Substitute q = e + 12 to x, which gives x = e + 41.\n5. Substitute e = r + 9 to x, which gives x = r + 50.\n6. Substitute r = 19 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 5270,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 19; y = g + 13; j = r + 5; g = j + 15; x = h + 18; d = v + 17; t = q + 5; e = r + 9; h = m + 4; m = t + 2; v = s + 15; q = e + 12; s = y + 19. If r = 19, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"l": "c + 14", "i": "l + 11", "t": "i + 18", "j": "t + 7", "k": "j + 6", "z": "k + 4", "r": "c + 9", "s": "r + 2", "e": "s + 4", "n": "e + 2", "v": "n + 13", "x": "v + 13", "c": 18}, "premises": {"c": 18}, "target": "z"}, "answer": {"steps": [["k", "j + 6", "j + 10"], ["j", "t + 7", "t + 17"], ["t", "i + 18", "i + 35"], ["i", "l + 11", "l + 46"], ["l", "c + 14", "c + 60"], ["c", 18, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"c": 18}, "is_reverse": true}}
| 5,271
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = v + 13; r = c + 9; i = l + 11; n = e + 2; s = r + 2; l = c + 14; t = i + 18; z = k + 4; j = t + 7; v = n + 13; c = 18; k = j + 6; e = s + 4. If c = 18, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 6 to z, which gives z = j + 10.\n2. Substitute j = t + 7 to z, which gives z = t + 17.\n3. Substitute t = i + 18 to z, which gives z = i + 35.\n4. Substitute i = l + 11 to z, which gives z = l + 46.\n5. Substitute l = c + 14 to z, which gives z = c + 60.\n6. Substitute c = 18 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 5271,
"question": "Consider a system of variables where each variable is defined as follows: x = v + 13; r = c + 9; i = l + 11; n = e + 2; s = r + 2; l = c + 14; t = i + 18; z = k + 4; j = t + 7; v = n + 13; c = 18; k = j + 6; e = s + 4. If c = 18, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"h": "q + 4", "m": "h + 4", "x": "m + 19", "e": "x + 10", "j": "e + 18", "v": "j + 3", "z": "q + 4", "n": "z + 19", "p": "n + 20", "o": "p + 4", "g": "o + 13", "w": "g + 18", "q": 5}, "premises": {"q": 5}, "target": "v"}, "answer": {"steps": [["j", "e + 18", "e + 21"], ["e", "x + 10", "x + 31"], ["x", "m + 19", "m + 50"], ["m", "h + 4", "h + 54"], ["h", "q + 4", "q + 58"], ["q", 5, "63"]], "target_var_name": "v", "target_value": 63, "value_dict": {"q": 5}, "is_reverse": true}}
| 5,272
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = j + 3; j = e + 18; g = o + 13; x = m + 19; q = 5; o = p + 4; w = g + 18; z = q + 4; e = x + 10; p = n + 20; m = h + 4; n = z + 19; h = q + 4. If q = 5, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 18 to v, which gives v = e + 21.\n2. Substitute e = x + 10 to v, which gives v = x + 31.\n3. Substitute x = m + 19 to v, which gives v = m + 50.\n4. Substitute m = h + 4 to v, which gives v = h + 54.\n5. Substitute h = q + 4 to v, which gives v = q + 58.\n6. Substitute q = 5 to v, which gives v = 63.\n\nThus, the final answer is v = \\boxed{63}.",
"index": 5272,
"question": "Consider a system of variables where each variable is defined as follows: v = j + 3; j = e + 18; g = o + 13; x = m + 19; q = 5; o = p + 4; w = g + 18; z = q + 4; e = x + 10; p = n + 20; m = h + 4; n = z + 19; h = q + 4. If q = 5, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"k": "c + 14", "t": "k + 13", "o": "t + 17", "f": "o + 1", "i": "f + 1", "q": "i + 13", "b": "c + 5", "h": "b + 15", "v": "h + 7", "s": "v + 10", "x": "s + 18", "l": "x + 20", "c": 4}, "premises": {"c": 4}, "target": "q"}, "answer": {"steps": [["i", "f + 1", "f + 14"], ["f", "o + 1", "o + 15"], ["o", "t + 17", "t + 32"], ["t", "k + 13", "k + 45"], ["k", "c + 14", "c + 59"], ["c", 4, "63"]], "target_var_name": "q", "target_value": 63, "value_dict": {"c": 4}, "is_reverse": true}}
| 5,273
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = v + 10; c = 4; t = k + 13; b = c + 5; f = o + 1; i = f + 1; x = s + 18; h = b + 15; q = i + 13; v = h + 7; k = c + 14; l = x + 20; o = t + 17. If c = 4, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 1 to q, which gives q = f + 14.\n2. Substitute f = o + 1 to q, which gives q = o + 15.\n3. Substitute o = t + 17 to q, which gives q = t + 32.\n4. Substitute t = k + 13 to q, which gives q = k + 45.\n5. Substitute k = c + 14 to q, which gives q = c + 59.\n6. Substitute c = 4 to q, which gives q = 63.\n\nThus, the final answer is q = \\boxed{63}.",
"index": 5273,
"question": "Consider a system of variables where each variable is defined as follows: s = v + 10; c = 4; t = k + 13; b = c + 5; f = o + 1; i = f + 1; x = s + 18; h = b + 15; q = i + 13; v = h + 7; k = c + 14; l = x + 20; o = t + 17. If c = 4, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"t": "k + 10", "e": "t + 20", "y": "e + 3", "b": "y + 12", "i": "b + 11", "w": "i + 13", "s": "k + 13", "o": "s + 14", "r": "o + 5", "l": "r + 17", "n": "l + 13", "g": "n + 20", "k": 18}, "premises": {"k": 18}, "target": "w"}, "answer": {"steps": [["i", "b + 11", "b + 24"], ["b", "y + 12", "y + 36"], ["y", "e + 3", "e + 39"], ["e", "t + 20", "t + 59"], ["t", "k + 10", "k + 69"], ["k", 18, "87"]], "target_var_name": "w", "target_value": 87, "value_dict": {"k": 18}, "is_reverse": true}}
| 5,274
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = r + 17; s = k + 13; t = k + 10; r = o + 5; e = t + 20; g = n + 20; k = 18; n = l + 13; b = y + 12; y = e + 3; o = s + 14; w = i + 13; i = b + 11. If k = 18, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 11 to w, which gives w = b + 24.\n2. Substitute b = y + 12 to w, which gives w = y + 36.\n3. Substitute y = e + 3 to w, which gives w = e + 39.\n4. Substitute e = t + 20 to w, which gives w = t + 59.\n5. Substitute t = k + 10 to w, which gives w = k + 69.\n6. Substitute k = 18 to w, which gives w = 87.\n\nThus, the final answer is w = \\boxed{87}.",
"index": 5274,
"question": "Consider a system of variables where each variable is defined as follows: l = r + 17; s = k + 13; t = k + 10; r = o + 5; e = t + 20; g = n + 20; k = 18; n = l + 13; b = y + 12; y = e + 3; o = s + 14; w = i + 13; i = b + 11. If k = 18, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"o": "v + 16", "a": "o + 4", "i": "a + 7", "k": "i + 14", "q": "k + 8", "c": "q + 16", "n": "v + 13", "j": "n + 4", "h": "j + 20", "p": "h + 4", "g": "p + 1", "w": "g + 7", "v": 19}, "premises": {"v": 19}, "target": "c"}, "answer": {"steps": [["q", "k + 8", "k + 24"], ["k", "i + 14", "i + 38"], ["i", "a + 7", "a + 45"], ["a", "o + 4", "o + 49"], ["o", "v + 16", "v + 65"], ["v", 19, "84"]], "target_var_name": "c", "target_value": 84, "value_dict": {"v": 19}, "is_reverse": true}}
| 5,275
| 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 = p + 1; c = q + 16; o = v + 16; a = o + 4; j = n + 4; p = h + 4; w = g + 7; k = i + 14; q = k + 8; h = j + 20; n = v + 13; i = a + 7; v = 19. If v = 19, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 8 to c, which gives c = k + 24.\n2. Substitute k = i + 14 to c, which gives c = i + 38.\n3. Substitute i = a + 7 to c, which gives c = a + 45.\n4. Substitute a = o + 4 to c, which gives c = o + 49.\n5. Substitute o = v + 16 to c, which gives c = v + 65.\n6. Substitute v = 19 to c, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 5275,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = p + 1; c = q + 16; o = v + 16; a = o + 4; j = n + 4; p = h + 4; w = g + 7; k = i + 14; q = k + 8; h = j + 20; n = v + 13; i = a + 7; v = 19. If v = 19, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"k": "h + 17", "t": "k + 20", "q": "t + 11", "u": "q + 4", "i": "u + 8", "a": "i + 18", "c": "h + 2", "v": "c + 4", "o": "v + 20", "e": "o + 20", "j": "e + 12", "z": "j + 17", "h": 5}, "premises": {"h": 5}, "target": "a"}, "answer": {"steps": [["i", "u + 8", "u + 26"], ["u", "q + 4", "q + 30"], ["q", "t + 11", "t + 41"], ["t", "k + 20", "k + 61"], ["k", "h + 17", "h + 78"], ["h", 5, "83"]], "target_var_name": "a", "target_value": 83, "value_dict": {"h": 5}, "is_reverse": true}}
| 5,276
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = j + 17; k = h + 17; t = k + 20; e = o + 20; i = u + 8; j = e + 12; c = h + 2; o = v + 20; u = q + 4; q = t + 11; v = c + 4; h = 5; a = i + 18. If h = 5, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 8 to a, which gives a = u + 26.\n2. Substitute u = q + 4 to a, which gives a = q + 30.\n3. Substitute q = t + 11 to a, which gives a = t + 41.\n4. Substitute t = k + 20 to a, which gives a = k + 61.\n5. Substitute k = h + 17 to a, which gives a = h + 78.\n6. Substitute h = 5 to a, which gives a = 83.\n\nThus, the final answer is a = \\boxed{83}.",
"index": 5276,
"question": "Consider a system of variables where each variable is defined as follows: z = j + 17; k = h + 17; t = k + 20; e = o + 20; i = u + 8; j = e + 12; c = h + 2; o = v + 20; u = q + 4; q = t + 11; v = c + 4; h = 5; a = i + 18. If h = 5, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"v": "f + 1", "l": "v + 4", "u": "l + 14", "y": "u + 19", "e": "y + 17", "p": "e + 8", "w": "f + 16", "x": "w + 2", "d": "x + 16", "b": "d + 9", "s": "b + 14", "r": "s + 13", "f": 20}, "premises": {"f": 20}, "target": "p"}, "answer": {"steps": [["e", "y + 17", "y + 25"], ["y", "u + 19", "u + 44"], ["u", "l + 14", "l + 58"], ["l", "v + 4", "v + 62"], ["v", "f + 1", "f + 63"], ["f", 20, "83"]], "target_var_name": "p", "target_value": 83, "value_dict": {"f": 20}, "is_reverse": true}}
| 5,277
| 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 = y + 17; s = b + 14; b = d + 9; p = e + 8; f = 20; r = s + 13; v = f + 1; y = u + 19; w = f + 16; u = l + 14; x = w + 2; l = v + 4; d = x + 16. If f = 20, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 17 to p, which gives p = y + 25.\n2. Substitute y = u + 19 to p, which gives p = u + 44.\n3. Substitute u = l + 14 to p, which gives p = l + 58.\n4. Substitute l = v + 4 to p, which gives p = v + 62.\n5. Substitute v = f + 1 to p, which gives p = f + 63.\n6. Substitute f = 20 to p, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 5277,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = y + 17; s = b + 14; b = d + 9; p = e + 8; f = 20; r = s + 13; v = f + 1; y = u + 19; w = f + 16; u = l + 14; x = w + 2; l = v + 4; d = x + 16. If f = 20, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"i": "w + 3", "x": "i + 11", "n": "x + 14", "r": "n + 5", "q": "r + 8", "f": "q + 7", "u": "w + 8", "y": "u + 13", "k": "y + 7", "e": "k + 10", "m": "e + 17", "o": "m + 18", "w": 2}, "premises": {"w": 2}, "target": "f"}, "answer": {"steps": [["q", "r + 8", "r + 15"], ["r", "n + 5", "n + 20"], ["n", "x + 14", "x + 34"], ["x", "i + 11", "i + 45"], ["i", "w + 3", "w + 48"], ["w", 2, "50"]], "target_var_name": "f", "target_value": 50, "value_dict": {"w": 2}, "is_reverse": true}}
| 5,278
| 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 = i + 11; i = w + 3; r = n + 5; m = e + 17; y = u + 13; o = m + 18; u = w + 8; n = x + 14; q = r + 8; w = 2; f = q + 7; k = y + 7; e = k + 10. If w = 2, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 8 to f, which gives f = r + 15.\n2. Substitute r = n + 5 to f, which gives f = n + 20.\n3. Substitute n = x + 14 to f, which gives f = x + 34.\n4. Substitute x = i + 11 to f, which gives f = i + 45.\n5. Substitute i = w + 3 to f, which gives f = w + 48.\n6. Substitute w = 2 to f, which gives f = 50.\n\nThus, the final answer is f = \\boxed{50}.",
"index": 5278,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = i + 11; i = w + 3; r = n + 5; m = e + 17; y = u + 13; o = m + 18; u = w + 8; n = x + 14; q = r + 8; w = 2; f = q + 7; k = y + 7; e = k + 10. If w = 2, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"l": "n + 15", "e": "l + 5", "x": "e + 20", "b": "x + 4", "w": "b + 5", "g": "w + 5", "k": "n + 2", "s": "k + 14", "v": "s + 13", "m": "v + 6", "h": "m + 10", "a": "h + 6", "n": 1}, "premises": {"n": 1}, "target": "g"}, "answer": {"steps": [["w", "b + 5", "b + 10"], ["b", "x + 4", "x + 14"], ["x", "e + 20", "e + 34"], ["e", "l + 5", "l + 39"], ["l", "n + 15", "n + 54"], ["n", 1, "55"]], "target_var_name": "g", "target_value": 55, "value_dict": {"n": 1}, "is_reverse": true}}
| 5,279
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 6; x = e + 20; a = h + 6; w = b + 5; n = 1; h = m + 10; l = n + 15; s = k + 14; e = l + 5; b = x + 4; g = w + 5; k = n + 2; v = s + 13. If n = 1, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 5 to g, which gives g = b + 10.\n2. Substitute b = x + 4 to g, which gives g = x + 14.\n3. Substitute x = e + 20 to g, which gives g = e + 34.\n4. Substitute e = l + 5 to g, which gives g = l + 39.\n5. Substitute l = n + 15 to g, which gives g = n + 54.\n6. Substitute n = 1 to g, which gives g = 55.\n\nThus, the final answer is g = \\boxed{55}.",
"index": 5279,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 6; x = e + 20; a = h + 6; w = b + 5; n = 1; h = m + 10; l = n + 15; s = k + 14; e = l + 5; b = x + 4; g = w + 5; k = n + 2; v = s + 13. If n = 1, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"a": "c + 2", "z": "a + 4", "l": "z + 7", "w": "l + 10", "n": "w + 19", "x": "n + 2", "p": "c + 5", "r": "p + 16", "f": "r + 15", "y": "f + 5", "q": "y + 16", "k": "q + 6", "c": 7}, "premises": {"c": 7}, "target": "x"}, "answer": {"steps": [["n", "w + 19", "w + 21"], ["w", "l + 10", "l + 31"], ["l", "z + 7", "z + 38"], ["z", "a + 4", "a + 42"], ["a", "c + 2", "c + 44"], ["c", 7, "51"]], "target_var_name": "x", "target_value": 51, "value_dict": {"c": 7}, "is_reverse": true}}
| 5,280
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = n + 2; r = p + 16; l = z + 7; z = a + 4; a = c + 2; q = y + 16; y = f + 5; c = 7; n = w + 19; p = c + 5; k = q + 6; f = r + 15; w = l + 10. Given that c = 7, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 19 to x, which gives x = w + 21.\n2. Substitute w = l + 10 to x, which gives x = l + 31.\n3. Substitute l = z + 7 to x, which gives x = z + 38.\n4. Substitute z = a + 4 to x, which gives x = a + 42.\n5. Substitute a = c + 2 to x, which gives x = c + 44.\n6. Substitute c = 7 to x, which gives x = 51.\n\nThus, the final answer is x = \\boxed{51}.",
"index": 5280,
"question": "Suppose a collection of variables is related by the following definitions: x = n + 2; r = p + 16; l = z + 7; z = a + 4; a = c + 2; q = y + 16; y = f + 5; c = 7; n = w + 19; p = c + 5; k = q + 6; f = r + 15; w = l + 10. Given that c = 7, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"g": "u + 9", "p": "g + 2", "r": "p + 9", "y": "r + 7", "z": "y + 14", "x": "z + 5", "h": "u + 9", "a": "h + 7", "f": "a + 16", "i": "f + 13", "m": "i + 8", "n": "m + 9", "u": 7}, "premises": {"u": 7}, "target": "x"}, "answer": {"steps": [["z", "y + 14", "y + 19"], ["y", "r + 7", "r + 26"], ["r", "p + 9", "p + 35"], ["p", "g + 2", "g + 37"], ["g", "u + 9", "u + 46"], ["u", 7, "53"]], "target_var_name": "x", "target_value": 53, "value_dict": {"u": 7}, "is_reverse": true}}
| 5,281
| 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 = h + 7; y = r + 7; f = a + 16; m = i + 8; n = m + 9; x = z + 5; z = y + 14; r = p + 9; h = u + 9; p = g + 2; i = f + 13; g = u + 9; u = 7. If u = 7, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 14 to x, which gives x = y + 19.\n2. Substitute y = r + 7 to x, which gives x = r + 26.\n3. Substitute r = p + 9 to x, which gives x = p + 35.\n4. Substitute p = g + 2 to x, which gives x = g + 37.\n5. Substitute g = u + 9 to x, which gives x = u + 46.\n6. Substitute u = 7 to x, which gives x = 53.\n\nThus, the final answer is x = \\boxed{53}.",
"index": 5281,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 7; y = r + 7; f = a + 16; m = i + 8; n = m + 9; x = z + 5; z = y + 14; r = p + 9; h = u + 9; p = g + 2; i = f + 13; g = u + 9; u = 7. If u = 7, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"o": "q + 18", "f": "o + 17", "m": "f + 20", "d": "m + 3", "t": "d + 18", "b": "t + 6", "g": "q + 1", "w": "g + 13", "k": "w + 14", "j": "k + 7", "z": "j + 4", "l": "z + 18", "q": 3}, "premises": {"q": 3}, "target": "b"}, "answer": {"steps": [["t", "d + 18", "d + 24"], ["d", "m + 3", "m + 27"], ["m", "f + 20", "f + 47"], ["f", "o + 17", "o + 64"], ["o", "q + 18", "q + 82"], ["q", 3, "85"]], "target_var_name": "b", "target_value": 85, "value_dict": {"q": 3}, "is_reverse": true}}
| 5,282
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = m + 3; k = w + 14; o = q + 18; b = t + 6; f = o + 17; m = f + 20; l = z + 18; t = d + 18; w = g + 13; g = q + 1; z = j + 4; j = k + 7; q = 3. If q = 3, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 18 to b, which gives b = d + 24.\n2. Substitute d = m + 3 to b, which gives b = m + 27.\n3. Substitute m = f + 20 to b, which gives b = f + 47.\n4. Substitute f = o + 17 to b, which gives b = o + 64.\n5. Substitute o = q + 18 to b, which gives b = q + 82.\n6. Substitute q = 3 to b, which gives b = 85.\n\nThus, the final answer is b = \\boxed{85}.",
"index": 5282,
"question": "Consider a system of variables where each variable is defined as follows: d = m + 3; k = w + 14; o = q + 18; b = t + 6; f = o + 17; m = f + 20; l = z + 18; t = d + 18; w = g + 13; g = q + 1; z = j + 4; j = k + 7; q = 3. If q = 3, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"j": "c + 14", "d": "j + 7", "l": "d + 3", "h": "l + 11", "k": "h + 5", "f": "k + 19", "m": "c + 3", "v": "m + 6", "i": "v + 7", "e": "i + 13", "p": "e + 20", "n": "p + 10", "c": 4}, "premises": {"c": 4}, "target": "f"}, "answer": {"steps": [["k", "h + 5", "h + 24"], ["h", "l + 11", "l + 35"], ["l", "d + 3", "d + 38"], ["d", "j + 7", "j + 45"], ["j", "c + 14", "c + 59"], ["c", 4, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"c": 4}, "is_reverse": true}}
| 5,283
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = p + 10; f = k + 19; j = c + 14; m = c + 3; k = h + 5; c = 4; p = e + 20; e = i + 13; v = m + 6; i = v + 7; l = d + 3; h = l + 11; d = j + 7. If c = 4, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 5 to f, which gives f = h + 24.\n2. Substitute h = l + 11 to f, which gives f = l + 35.\n3. Substitute l = d + 3 to f, which gives f = d + 38.\n4. Substitute d = j + 7 to f, which gives f = j + 45.\n5. Substitute j = c + 14 to f, which gives f = c + 59.\n6. Substitute c = 4 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 5283,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = p + 10; f = k + 19; j = c + 14; m = c + 3; k = h + 5; c = 4; p = e + 20; e = i + 13; v = m + 6; i = v + 7; l = d + 3; h = l + 11; d = j + 7. If c = 4, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"j": "z + 4", "t": "j + 4", "v": "t + 1", "p": "v + 2", "m": "p + 12", "i": "m + 6", "d": "z + 7", "q": "d + 3", "l": "q + 11", "y": "l + 20", "o": "y + 3", "s": "o + 15", "z": 2}, "premises": {"z": 2}, "target": "i"}, "answer": {"steps": [["m", "p + 12", "p + 18"], ["p", "v + 2", "v + 20"], ["v", "t + 1", "t + 21"], ["t", "j + 4", "j + 25"], ["j", "z + 4", "z + 29"], ["z", 2, "31"]], "target_var_name": "i", "target_value": 31, "value_dict": {"z": 2}, "is_reverse": true}}
| 5,284
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = j + 4; o = y + 3; j = z + 4; p = v + 2; i = m + 6; m = p + 12; l = q + 11; s = o + 15; d = z + 7; q = d + 3; v = t + 1; z = 2; y = l + 20. If z = 2, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 31,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 12 to i, which gives i = p + 18.\n2. Substitute p = v + 2 to i, which gives i = v + 20.\n3. Substitute v = t + 1 to i, which gives i = t + 21.\n4. Substitute t = j + 4 to i, which gives i = j + 25.\n5. Substitute j = z + 4 to i, which gives i = z + 29.\n6. Substitute z = 2 to i, which gives i = 31.\n\nThus, the final answer is i = \\boxed{31}.",
"index": 5284,
"question": "Consider a system of variables where each variable is defined as follows: t = j + 4; o = y + 3; j = z + 4; p = v + 2; i = m + 6; m = p + 12; l = q + 11; s = o + 15; d = z + 7; q = d + 3; v = t + 1; z = 2; y = l + 20. If z = 2, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"u": "v + 1", "y": "u + 13", "w": "y + 17", "s": "w + 17", "z": "s + 9", "g": "z + 10", "h": "v + 3", "j": "h + 11", "t": "j + 7", "m": "t + 1", "p": "m + 2", "i": "p + 11", "v": 17}, "premises": {"v": 17}, "target": "g"}, "answer": {"steps": [["z", "s + 9", "s + 19"], ["s", "w + 17", "w + 36"], ["w", "y + 17", "y + 53"], ["y", "u + 13", "u + 66"], ["u", "v + 1", "v + 67"], ["v", 17, "84"]], "target_var_name": "g", "target_value": 84, "value_dict": {"v": 17}, "is_reverse": true}}
| 5,285
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = m + 2; s = w + 17; i = p + 11; t = j + 7; y = u + 13; w = y + 17; m = t + 1; h = v + 3; u = v + 1; v = 17; z = s + 9; g = z + 10; j = h + 11. If v = 17, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 9 to g, which gives g = s + 19.\n2. Substitute s = w + 17 to g, which gives g = w + 36.\n3. Substitute w = y + 17 to g, which gives g = y + 53.\n4. Substitute y = u + 13 to g, which gives g = u + 66.\n5. Substitute u = v + 1 to g, which gives g = v + 67.\n6. Substitute v = 17 to g, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 5285,
"question": "Consider a system of variables where each variable is defined as follows: p = m + 2; s = w + 17; i = p + 11; t = j + 7; y = u + 13; w = y + 17; m = t + 1; h = v + 3; u = v + 1; v = 17; z = s + 9; g = z + 10; j = h + 11. If v = 17, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"k": "g + 10", "l": "k + 7", "s": "l + 18", "i": "s + 19", "z": "i + 7", "v": "z + 11", "f": "g + 4", "q": "f + 3", "p": "q + 20", "r": "p + 9", "n": "r + 20", "c": "n + 9", "g": 1}, "premises": {"g": 1}, "target": "v"}, "answer": {"steps": [["z", "i + 7", "i + 18"], ["i", "s + 19", "s + 37"], ["s", "l + 18", "l + 55"], ["l", "k + 7", "k + 62"], ["k", "g + 10", "g + 72"], ["g", 1, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"g": 1}, "is_reverse": true}}
| 5,286
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = z + 11; i = s + 19; k = g + 10; n = r + 20; c = n + 9; q = f + 3; f = g + 4; z = i + 7; g = 1; p = q + 20; s = l + 18; l = k + 7; r = p + 9. If g = 1, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 7 to v, which gives v = i + 18.\n2. Substitute i = s + 19 to v, which gives v = s + 37.\n3. Substitute s = l + 18 to v, which gives v = l + 55.\n4. Substitute l = k + 7 to v, which gives v = k + 62.\n5. Substitute k = g + 10 to v, which gives v = g + 72.\n6. Substitute g = 1 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 5286,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = z + 11; i = s + 19; k = g + 10; n = r + 20; c = n + 9; q = f + 3; f = g + 4; z = i + 7; g = 1; p = q + 20; s = l + 18; l = k + 7; r = p + 9. If g = 1, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"h": "m + 16", "g": "h + 17", "q": "g + 12", "t": "q + 9", "l": "t + 4", "d": "l + 14", "j": "m + 16", "k": "j + 13", "n": "k + 14", "w": "n + 8", "p": "w + 12", "r": "p + 7", "m": 17}, "premises": {"m": 17}, "target": "d"}, "answer": {"steps": [["l", "t + 4", "t + 18"], ["t", "q + 9", "q + 27"], ["q", "g + 12", "g + 39"], ["g", "h + 17", "h + 56"], ["h", "m + 16", "m + 72"], ["m", 17, "89"]], "target_var_name": "d", "target_value": 89, "value_dict": {"m": 17}, "is_reverse": true}}
| 5,287
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = g + 12; h = m + 16; g = h + 17; d = l + 14; l = t + 4; k = j + 13; n = k + 14; r = p + 7; m = 17; j = m + 16; p = w + 12; w = n + 8; t = q + 9. Given that m = 17, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 4 to d, which gives d = t + 18.\n2. Substitute t = q + 9 to d, which gives d = q + 27.\n3. Substitute q = g + 12 to d, which gives d = g + 39.\n4. Substitute g = h + 17 to d, which gives d = h + 56.\n5. Substitute h = m + 16 to d, which gives d = m + 72.\n6. Substitute m = 17 to d, which gives d = 89.\n\nThus, the final answer is d = \\boxed{89}.",
"index": 5287,
"question": "Suppose a collection of variables is related by the following definitions: q = g + 12; h = m + 16; g = h + 17; d = l + 14; l = t + 4; k = j + 13; n = k + 14; r = p + 7; m = 17; j = m + 16; p = w + 12; w = n + 8; t = q + 9. Given that m = 17, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"f": "v + 7", "r": "f + 2", "o": "r + 14", "m": "o + 20", "q": "m + 13", "u": "q + 16", "e": "v + 5", "w": "e + 7", "p": "w + 17", "z": "p + 3", "s": "z + 18", "a": "s + 6", "v": 19}, "premises": {"v": 19}, "target": "u"}, "answer": {"steps": [["q", "m + 13", "m + 29"], ["m", "o + 20", "o + 49"], ["o", "r + 14", "r + 63"], ["r", "f + 2", "f + 65"], ["f", "v + 7", "v + 72"], ["v", 19, "91"]], "target_var_name": "u", "target_value": 91, "value_dict": {"v": 19}, "is_reverse": true}}
| 5,288
| 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 = v + 7; v = 19; w = e + 7; m = o + 20; a = s + 6; o = r + 14; s = z + 18; u = q + 16; z = p + 3; r = f + 2; q = m + 13; p = w + 17; e = v + 5. If v = 19, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 13 to u, which gives u = m + 29.\n2. Substitute m = o + 20 to u, which gives u = o + 49.\n3. Substitute o = r + 14 to u, which gives u = r + 63.\n4. Substitute r = f + 2 to u, which gives u = f + 65.\n5. Substitute f = v + 7 to u, which gives u = v + 72.\n6. Substitute v = 19 to u, which gives u = 91.\n\nThus, the final answer is u = \\boxed{91}.",
"index": 5288,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 7; v = 19; w = e + 7; m = o + 20; a = s + 6; o = r + 14; s = z + 18; u = q + 16; z = p + 3; r = f + 2; q = m + 13; p = w + 17; e = v + 5. If v = 19, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"g": "y + 14", "j": "g + 4", "f": "j + 5", "i": "f + 20", "s": "i + 18", "k": "s + 3", "o": "y + 8", "a": "o + 20", "x": "a + 7", "e": "x + 1", "b": "e + 11", "n": "b + 14", "y": 6}, "premises": {"y": 6}, "target": "k"}, "answer": {"steps": [["s", "i + 18", "i + 21"], ["i", "f + 20", "f + 41"], ["f", "j + 5", "j + 46"], ["j", "g + 4", "g + 50"], ["g", "y + 14", "y + 64"], ["y", 6, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"y": 6}, "is_reverse": true}}
| 5,289
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = s + 3; j = g + 4; y = 6; g = y + 14; n = b + 14; f = j + 5; x = a + 7; i = f + 20; o = y + 8; a = o + 20; s = i + 18; e = x + 1; b = e + 11. Given that y = 6, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 18 to k, which gives k = i + 21.\n2. Substitute i = f + 20 to k, which gives k = f + 41.\n3. Substitute f = j + 5 to k, which gives k = j + 46.\n4. Substitute j = g + 4 to k, which gives k = g + 50.\n5. Substitute g = y + 14 to k, which gives k = y + 64.\n6. Substitute y = 6 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 5289,
"question": "Suppose a collection of variables is related by the following definitions: k = s + 3; j = g + 4; y = 6; g = y + 14; n = b + 14; f = j + 5; x = a + 7; i = f + 20; o = y + 8; a = o + 20; s = i + 18; e = x + 1; b = e + 11. Given that y = 6, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"c": "g + 18", "x": "c + 13", "k": "x + 20", "b": "k + 14", "n": "b + 20", "l": "n + 5", "f": "g + 20", "p": "f + 20", "i": "p + 2", "e": "i + 3", "z": "e + 4", "t": "z + 11", "g": 18}, "premises": {"g": 18}, "target": "l"}, "answer": {"steps": [["n", "b + 20", "b + 25"], ["b", "k + 14", "k + 39"], ["k", "x + 20", "x + 59"], ["x", "c + 13", "c + 72"], ["c", "g + 18", "g + 90"], ["g", 18, "108"]], "target_var_name": "l", "target_value": 108, "value_dict": {"g": 18}, "is_reverse": true}}
| 5,290
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = n + 5; p = f + 20; e = i + 3; g = 18; b = k + 14; n = b + 20; z = e + 4; i = p + 2; t = z + 11; c = g + 18; f = g + 20; k = x + 20; x = c + 13. Given that g = 18, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 108,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 20 to l, which gives l = b + 25.\n2. Substitute b = k + 14 to l, which gives l = k + 39.\n3. Substitute k = x + 20 to l, which gives l = x + 59.\n4. Substitute x = c + 13 to l, which gives l = c + 72.\n5. Substitute c = g + 18 to l, which gives l = g + 90.\n6. Substitute g = 18 to l, which gives l = 108.\n\nThus, the final answer is l = \\boxed{108}.",
"index": 5290,
"question": "Suppose a collection of variables is related by the following definitions: l = n + 5; p = f + 20; e = i + 3; g = 18; b = k + 14; n = b + 20; z = e + 4; i = p + 2; t = z + 11; c = g + 18; f = g + 20; k = x + 20; x = c + 13. Given that g = 18, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"j": "s + 1", "r": "j + 10", "m": "r + 19", "k": "m + 18", "h": "k + 20", "d": "h + 1", "y": "s + 5", "w": "y + 17", "x": "w + 20", "q": "x + 10", "e": "q + 19", "z": "e + 19", "s": 8}, "premises": {"s": 8}, "target": "d"}, "answer": {"steps": [["h", "k + 20", "k + 21"], ["k", "m + 18", "m + 39"], ["m", "r + 19", "r + 58"], ["r", "j + 10", "j + 68"], ["j", "s + 1", "s + 69"], ["s", 8, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"s": 8}, "is_reverse": true}}
| 5,291
| 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 = m + 18; h = k + 20; j = s + 1; w = y + 17; m = r + 19; x = w + 20; r = j + 10; q = x + 10; s = 8; y = s + 5; d = h + 1; z = e + 19; e = q + 19. If s = 8, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 20 to d, which gives d = k + 21.\n2. Substitute k = m + 18 to d, which gives d = m + 39.\n3. Substitute m = r + 19 to d, which gives d = r + 58.\n4. Substitute r = j + 10 to d, which gives d = j + 68.\n5. Substitute j = s + 1 to d, which gives d = s + 69.\n6. Substitute s = 8 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 5291,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = m + 18; h = k + 20; j = s + 1; w = y + 17; m = r + 19; x = w + 20; r = j + 10; q = x + 10; s = 8; y = s + 5; d = h + 1; z = e + 19; e = q + 19. If s = 8, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 1", "q": "o + 1", "f": "q + 4", "u": "f + 9", "w": "u + 15", "i": "w + 15", "h": "a + 1", "s": "h + 14", "l": "s + 10", "c": "l + 3", "y": "c + 4", "g": "y + 16", "a": 10}, "premises": {"a": 10}, "target": "i"}, "answer": {"steps": [["w", "u + 15", "u + 30"], ["u", "f + 9", "f + 39"], ["f", "q + 4", "q + 43"], ["q", "o + 1", "o + 44"], ["o", "a + 1", "a + 45"], ["a", 10, "55"]], "target_var_name": "i", "target_value": 55, "value_dict": {"a": 10}, "is_reverse": true}}
| 5,292
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = a + 1; u = f + 9; c = l + 3; h = a + 1; l = s + 10; a = 10; i = w + 15; s = h + 14; f = q + 4; y = c + 4; g = y + 16; w = u + 15; q = o + 1. If a = 10, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 15 to i, which gives i = u + 30.\n2. Substitute u = f + 9 to i, which gives i = f + 39.\n3. Substitute f = q + 4 to i, which gives i = q + 43.\n4. Substitute q = o + 1 to i, which gives i = o + 44.\n5. Substitute o = a + 1 to i, which gives i = a + 45.\n6. Substitute a = 10 to i, which gives i = 55.\n\nThus, the final answer is i = \\boxed{55}.",
"index": 5292,
"question": "Consider a system of variables where each variable is defined as follows: o = a + 1; u = f + 9; c = l + 3; h = a + 1; l = s + 10; a = 10; i = w + 15; s = h + 14; f = q + 4; y = c + 4; g = y + 16; w = u + 15; q = o + 1. If a = 10, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"s": "b + 10", "i": "s + 11", "h": "i + 2", "r": "h + 3", "x": "r + 9", "k": "x + 1", "g": "b + 11", "m": "g + 17", "p": "m + 17", "d": "p + 10", "t": "d + 9", "f": "t + 18", "b": 9}, "premises": {"b": 9}, "target": "k"}, "answer": {"steps": [["x", "r + 9", "r + 10"], ["r", "h + 3", "h + 13"], ["h", "i + 2", "i + 15"], ["i", "s + 11", "s + 26"], ["s", "b + 10", "b + 36"], ["b", 9, "45"]], "target_var_name": "k", "target_value": 45, "value_dict": {"b": 9}, "is_reverse": true}}
| 5,293
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = 9; g = b + 11; p = m + 17; h = i + 2; m = g + 17; i = s + 11; r = h + 3; x = r + 9; t = d + 9; f = t + 18; k = x + 1; d = p + 10; s = b + 10. Given that b = 9, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 9 to k, which gives k = r + 10.\n2. Substitute r = h + 3 to k, which gives k = h + 13.\n3. Substitute h = i + 2 to k, which gives k = i + 15.\n4. Substitute i = s + 11 to k, which gives k = s + 26.\n5. Substitute s = b + 10 to k, which gives k = b + 36.\n6. Substitute b = 9 to k, which gives k = 45.\n\nThus, the final answer is k = \\boxed{45}.",
"index": 5293,
"question": "Suppose a collection of variables is related by the following definitions: b = 9; g = b + 11; p = m + 17; h = i + 2; m = g + 17; i = s + 11; r = h + 3; x = r + 9; t = d + 9; f = t + 18; k = x + 1; d = p + 10; s = b + 10. Given that b = 9, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"a": "x + 18", "z": "a + 8", "q": "z + 18", "s": "q + 3", "n": "s + 4", "u": "n + 2", "l": "x + 13", "r": "l + 1", "v": "r + 12", "p": "v + 13", "t": "p + 7", "y": "t + 1", "x": 5}, "premises": {"x": 5}, "target": "u"}, "answer": {"steps": [["n", "s + 4", "s + 6"], ["s", "q + 3", "q + 9"], ["q", "z + 18", "z + 27"], ["z", "a + 8", "a + 35"], ["a", "x + 18", "x + 53"], ["x", 5, "58"]], "target_var_name": "u", "target_value": 58, "value_dict": {"x": 5}, "is_reverse": true}}
| 5,294
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 7; u = n + 2; q = z + 18; a = x + 18; n = s + 4; r = l + 1; x = 5; y = t + 1; p = v + 13; l = x + 13; z = a + 8; v = r + 12; s = q + 3. If x = 5, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 4 to u, which gives u = s + 6.\n2. Substitute s = q + 3 to u, which gives u = q + 9.\n3. Substitute q = z + 18 to u, which gives u = z + 27.\n4. Substitute z = a + 8 to u, which gives u = a + 35.\n5. Substitute a = x + 18 to u, which gives u = x + 53.\n6. Substitute x = 5 to u, which gives u = 58.\n\nThus, the final answer is u = \\boxed{58}.",
"index": 5294,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 7; u = n + 2; q = z + 18; a = x + 18; n = s + 4; r = l + 1; x = 5; y = t + 1; p = v + 13; l = x + 13; z = a + 8; v = r + 12; s = q + 3. If x = 5, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"v": "l + 20", "t": "v + 4", "i": "t + 6", "k": "i + 5", "s": "k + 1", "e": "s + 5", "z": "l + 19", "x": "z + 19", "c": "x + 5", "g": "c + 8", "a": "g + 5", "f": "a + 4", "l": 2}, "premises": {"l": 2}, "target": "e"}, "answer": {"steps": [["s", "k + 1", "k + 6"], ["k", "i + 5", "i + 11"], ["i", "t + 6", "t + 17"], ["t", "v + 4", "v + 21"], ["v", "l + 20", "l + 41"], ["l", 2, "43"]], "target_var_name": "e", "target_value": 43, "value_dict": {"l": 2}, "is_reverse": true}}
| 5,295
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = s + 5; x = z + 19; z = l + 19; k = i + 5; l = 2; v = l + 20; f = a + 4; a = g + 5; g = c + 8; s = k + 1; c = x + 5; i = t + 6; t = v + 4. If l = 2, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 1 to e, which gives e = k + 6.\n2. Substitute k = i + 5 to e, which gives e = i + 11.\n3. Substitute i = t + 6 to e, which gives e = t + 17.\n4. Substitute t = v + 4 to e, which gives e = v + 21.\n5. Substitute v = l + 20 to e, which gives e = l + 41.\n6. Substitute l = 2 to e, which gives e = 43.\n\nThus, the final answer is e = \\boxed{43}.",
"index": 5295,
"question": "Consider a system of variables where each variable is defined as follows: e = s + 5; x = z + 19; z = l + 19; k = i + 5; l = 2; v = l + 20; f = a + 4; a = g + 5; g = c + 8; s = k + 1; c = x + 5; i = t + 6; t = v + 4. If l = 2, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"m": "h + 3", "f": "m + 20", "r": "f + 19", "b": "r + 11", "w": "b + 4", "j": "w + 7", "s": "h + 1", "x": "s + 19", "g": "x + 9", "y": "g + 10", "k": "y + 1", "q": "k + 1", "h": 12}, "premises": {"h": 12}, "target": "j"}, "answer": {"steps": [["w", "b + 4", "b + 11"], ["b", "r + 11", "r + 22"], ["r", "f + 19", "f + 41"], ["f", "m + 20", "m + 61"], ["m", "h + 3", "h + 64"], ["h", 12, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"h": 12}, "is_reverse": true}}
| 5,296
| 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 = g + 10; h = 12; f = m + 20; b = r + 11; j = w + 7; m = h + 3; s = h + 1; k = y + 1; x = s + 19; r = f + 19; w = b + 4; g = x + 9; q = k + 1. If h = 12, what is the resulting 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 w = b + 4 to j, which gives j = b + 11.\n2. Substitute b = r + 11 to j, which gives j = r + 22.\n3. Substitute r = f + 19 to j, which gives j = f + 41.\n4. Substitute f = m + 20 to j, which gives j = m + 61.\n5. Substitute m = h + 3 to j, which gives j = h + 64.\n6. Substitute h = 12 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 5296,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = g + 10; h = 12; f = m + 20; b = r + 11; j = w + 7; m = h + 3; s = h + 1; k = y + 1; x = s + 19; r = f + 19; w = b + 4; g = x + 9; q = k + 1. If h = 12, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"x": "r + 10", "f": "x + 16", "m": "f + 3", "b": "m + 16", "u": "b + 10", "s": "u + 16", "k": "r + 8", "g": "k + 5", "q": "g + 19", "i": "q + 14", "a": "i + 1", "e": "a + 5", "r": 6}, "premises": {"r": 6}, "target": "s"}, "answer": {"steps": [["u", "b + 10", "b + 26"], ["b", "m + 16", "m + 42"], ["m", "f + 3", "f + 45"], ["f", "x + 16", "x + 61"], ["x", "r + 10", "r + 71"], ["r", 6, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"r": 6}, "is_reverse": true}}
| 5,297
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = k + 5; e = a + 5; a = i + 1; q = g + 19; b = m + 16; k = r + 8; r = 6; u = b + 10; f = x + 16; s = u + 16; m = f + 3; x = r + 10; i = q + 14. If r = 6, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 10 to s, which gives s = b + 26.\n2. Substitute b = m + 16 to s, which gives s = m + 42.\n3. Substitute m = f + 3 to s, which gives s = f + 45.\n4. Substitute f = x + 16 to s, which gives s = x + 61.\n5. Substitute x = r + 10 to s, which gives s = r + 71.\n6. Substitute r = 6 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 5297,
"question": "Consider a system of variables where each variable is defined as follows: g = k + 5; e = a + 5; a = i + 1; q = g + 19; b = m + 16; k = r + 8; r = 6; u = b + 10; f = x + 16; s = u + 16; m = f + 3; x = r + 10; i = q + 14. If r = 6, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"m": "e + 6", "s": "m + 19", "j": "s + 16", "h": "j + 6", "d": "h + 18", "b": "d + 10", "x": "e + 8", "v": "x + 10", "u": "v + 3", "y": "u + 20", "p": "y + 16", "o": "p + 13", "e": 4}, "premises": {"e": 4}, "target": "b"}, "answer": {"steps": [["d", "h + 18", "h + 28"], ["h", "j + 6", "j + 34"], ["j", "s + 16", "s + 50"], ["s", "m + 19", "m + 69"], ["m", "e + 6", "e + 75"], ["e", 4, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"e": 4}, "is_reverse": true}}
| 5,298
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = u + 20; b = d + 10; x = e + 8; v = x + 10; e = 4; j = s + 16; o = p + 13; p = y + 16; d = h + 18; h = j + 6; m = e + 6; u = v + 3; s = m + 19. Given that e = 4, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 18 to b, which gives b = h + 28.\n2. Substitute h = j + 6 to b, which gives b = j + 34.\n3. Substitute j = s + 16 to b, which gives b = s + 50.\n4. Substitute s = m + 19 to b, which gives b = m + 69.\n5. Substitute m = e + 6 to b, which gives b = e + 75.\n6. Substitute e = 4 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 5298,
"question": "Suppose a collection of variables is related by the following definitions: y = u + 20; b = d + 10; x = e + 8; v = x + 10; e = 4; j = s + 16; o = p + 13; p = y + 16; d = h + 18; h = j + 6; m = e + 6; u = v + 3; s = m + 19. Given that e = 4, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"x": "i + 2", "y": "x + 11", "e": "y + 11", "l": "e + 5", "n": "l + 8", "k": "n + 6", "s": "i + 19", "u": "s + 2", "h": "u + 18", "f": "h + 19", "p": "f + 15", "w": "p + 2", "i": 1}, "premises": {"i": 1}, "target": "k"}, "answer": {"steps": [["n", "l + 8", "l + 14"], ["l", "e + 5", "e + 19"], ["e", "y + 11", "y + 30"], ["y", "x + 11", "x + 41"], ["x", "i + 2", "i + 43"], ["i", 1, "44"]], "target_var_name": "k", "target_value": 44, "value_dict": {"i": 1}, "is_reverse": true}}
| 5,299
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = i + 2; w = p + 2; y = x + 11; f = h + 19; k = n + 6; n = l + 8; s = i + 19; e = y + 11; p = f + 15; h = u + 18; i = 1; l = e + 5; u = s + 2. If i = 1, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 8 to k, which gives k = l + 14.\n2. Substitute l = e + 5 to k, which gives k = e + 19.\n3. Substitute e = y + 11 to k, which gives k = y + 30.\n4. Substitute y = x + 11 to k, which gives k = x + 41.\n5. Substitute x = i + 2 to k, which gives k = i + 43.\n6. Substitute i = 1 to k, which gives k = 44.\n\nThus, the final answer is k = \\boxed{44}.",
"index": 5299,
"question": "Consider a system of variables where each variable is defined as follows: x = i + 2; w = p + 2; y = x + 11; f = h + 19; k = n + 6; n = l + 8; s = i + 19; e = y + 11; p = f + 15; h = u + 18; i = 1; l = e + 5; u = s + 2. If i = 1, determine the value of k.",
"split": "train"
}
|
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