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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": {"d": "g + 13", "k": "d + 4", "a": "k + 13", "f": "a + 20", "b": "f + 1", "r": "b + 11", "o": "g + 12", "i": "o + 13", "x": "i + 20", "l": "x + 6", "m": "l + 18", "q": "m + 8", "g": 7}, "premises": {"g": 7}, "target": "r"}, "answer": {"steps": [["b", "f + 1", "f + 12"], ["f", "a + 20", "a + 32"], ["a", "k + 13", "k + 45"], ["k", "d + 4", "d + 49"], ["d", "g + 13", "g + 62"], ["g", 7, "69"]], "target_var_name": "r", "target_value": 69, "value_dict": {"g": 7}, "is_reverse": true}}
| 4,700
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = a + 20; l = x + 6; q = m + 8; r = b + 11; m = l + 18; g = 7; i = o + 13; k = d + 4; b = f + 1; x = i + 20; d = g + 13; o = g + 12; a = k + 13. Given that g = 7, find 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 b = f + 1 to r, which gives r = f + 12.\n2. Substitute f = a + 20 to r, which gives r = a + 32.\n3. Substitute a = k + 13 to r, which gives r = k + 45.\n4. Substitute k = d + 4 to r, which gives r = d + 49.\n5. Substitute d = g + 13 to r, which gives r = g + 62.\n6. Substitute g = 7 to r, which gives r = 69.\n\nThus, the final answer is r = \\boxed{69}.",
"index": 4700,
"question": "Suppose a collection of variables is related by the following definitions: f = a + 20; l = x + 6; q = m + 8; r = b + 11; m = l + 18; g = 7; i = o + 13; k = d + 4; b = f + 1; x = i + 20; d = g + 13; o = g + 12; a = k + 13. Given that g = 7, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"e": "l + 18", "f": "e + 11", "v": "f + 19", "t": "v + 18", "a": "t + 17", "g": "a + 4", "n": "l + 20", "p": "n + 7", "x": "p + 2", "z": "x + 15", "o": "z + 17", "y": "o + 17", "l": 16}, "premises": {"l": 16}, "target": "g"}, "answer": {"steps": [["a", "t + 17", "t + 21"], ["t", "v + 18", "v + 39"], ["v", "f + 19", "f + 58"], ["f", "e + 11", "e + 69"], ["e", "l + 18", "l + 87"], ["l", 16, "103"]], "target_var_name": "g", "target_value": 103, "value_dict": {"l": 16}, "is_reverse": true}}
| 4,701
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = f + 19; l = 16; x = p + 2; o = z + 17; n = l + 20; y = o + 17; f = e + 11; e = l + 18; z = x + 15; t = v + 18; p = n + 7; a = t + 17; g = a + 4. Given that l = 16, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 17 to g, which gives g = t + 21.\n2. Substitute t = v + 18 to g, which gives g = v + 39.\n3. Substitute v = f + 19 to g, which gives g = f + 58.\n4. Substitute f = e + 11 to g, which gives g = e + 69.\n5. Substitute e = l + 18 to g, which gives g = l + 87.\n6. Substitute l = 16 to g, which gives g = 103.\n\nThus, the final answer is g = \\boxed{103}.",
"index": 4701,
"question": "Suppose a collection of variables is related by the following definitions: v = f + 19; l = 16; x = p + 2; o = z + 17; n = l + 20; y = o + 17; f = e + 11; e = l + 18; z = x + 15; t = v + 18; p = n + 7; a = t + 17; g = a + 4. Given that l = 16, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"q": "w + 11", "h": "q + 6", "m": "h + 4", "j": "m + 3", "u": "j + 6", "l": "u + 7", "c": "w + 17", "x": "c + 4", "r": "x + 12", "z": "r + 11", "t": "z + 3", "s": "t + 19", "w": 8}, "premises": {"w": 8}, "target": "l"}, "answer": {"steps": [["u", "j + 6", "j + 13"], ["j", "m + 3", "m + 16"], ["m", "h + 4", "h + 20"], ["h", "q + 6", "q + 26"], ["q", "w + 11", "w + 37"], ["w", 8, "45"]], "target_var_name": "l", "target_value": 45, "value_dict": {"w": 8}, "is_reverse": true}}
| 4,702
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = x + 12; s = t + 19; j = m + 3; q = w + 11; t = z + 3; m = h + 4; z = r + 11; l = u + 7; h = q + 6; w = 8; c = w + 17; u = j + 6; x = c + 4. Given that w = 8, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 6 to l, which gives l = j + 13.\n2. Substitute j = m + 3 to l, which gives l = m + 16.\n3. Substitute m = h + 4 to l, which gives l = h + 20.\n4. Substitute h = q + 6 to l, which gives l = q + 26.\n5. Substitute q = w + 11 to l, which gives l = w + 37.\n6. Substitute w = 8 to l, which gives l = 45.\n\nThus, the final answer is l = \\boxed{45}.",
"index": 4702,
"question": "Suppose a collection of variables is related by the following definitions: r = x + 12; s = t + 19; j = m + 3; q = w + 11; t = z + 3; m = h + 4; z = r + 11; l = u + 7; h = q + 6; w = 8; c = w + 17; u = j + 6; x = c + 4. Given that w = 8, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"q": "w + 16", "b": "q + 4", "t": "b + 13", "h": "t + 6", "j": "h + 7", "a": "j + 17", "g": "w + 8", "c": "g + 16", "s": "c + 3", "n": "s + 17", "x": "n + 19", "p": "x + 11", "w": 14}, "premises": {"w": 14}, "target": "a"}, "answer": {"steps": [["j", "h + 7", "h + 24"], ["h", "t + 6", "t + 30"], ["t", "b + 13", "b + 43"], ["b", "q + 4", "q + 47"], ["q", "w + 16", "w + 63"], ["w", 14, "77"]], "target_var_name": "a", "target_value": 77, "value_dict": {"w": 14}, "is_reverse": true}}
| 4,703
| 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 = s + 17; g = w + 8; x = n + 19; b = q + 4; t = b + 13; c = g + 16; s = c + 3; q = w + 16; j = h + 7; h = t + 6; p = x + 11; a = j + 17; w = 14. If w = 14, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 7 to a, which gives a = h + 24.\n2. Substitute h = t + 6 to a, which gives a = t + 30.\n3. Substitute t = b + 13 to a, which gives a = b + 43.\n4. Substitute b = q + 4 to a, which gives a = q + 47.\n5. Substitute q = w + 16 to a, which gives a = w + 63.\n6. Substitute w = 14 to a, which gives a = 77.\n\nThus, the final answer is a = \\boxed{77}.",
"index": 4703,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = s + 17; g = w + 8; x = n + 19; b = q + 4; t = b + 13; c = g + 16; s = c + 3; q = w + 16; j = h + 7; h = t + 6; p = x + 11; a = j + 17; w = 14. If w = 14, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"o": "x + 14", "p": "o + 18", "r": "p + 11", "q": "r + 15", "a": "q + 13", "g": "a + 12", "l": "x + 6", "e": "l + 14", "u": "e + 1", "c": "u + 17", "k": "c + 16", "z": "k + 19", "x": 6}, "premises": {"x": 6}, "target": "g"}, "answer": {"steps": [["a", "q + 13", "q + 25"], ["q", "r + 15", "r + 40"], ["r", "p + 11", "p + 51"], ["p", "o + 18", "o + 69"], ["o", "x + 14", "x + 83"], ["x", 6, "89"]], "target_var_name": "g", "target_value": 89, "value_dict": {"x": 6}, "is_reverse": true}}
| 4,704
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = k + 19; x = 6; g = a + 12; a = q + 13; c = u + 17; o = x + 14; q = r + 15; p = o + 18; u = e + 1; k = c + 16; l = x + 6; e = l + 14; r = p + 11. If x = 6, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 13 to g, which gives g = q + 25.\n2. Substitute q = r + 15 to g, which gives g = r + 40.\n3. Substitute r = p + 11 to g, which gives g = p + 51.\n4. Substitute p = o + 18 to g, which gives g = o + 69.\n5. Substitute o = x + 14 to g, which gives g = x + 83.\n6. Substitute x = 6 to g, which gives g = 89.\n\nThus, the final answer is g = \\boxed{89}.",
"index": 4704,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = k + 19; x = 6; g = a + 12; a = q + 13; c = u + 17; o = x + 14; q = r + 15; p = o + 18; u = e + 1; k = c + 16; l = x + 6; e = l + 14; r = p + 11. If x = 6, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"g": "m + 8", "o": "g + 10", "f": "o + 14", "l": "f + 6", "d": "l + 7", "z": "d + 17", "k": "m + 18", "y": "k + 17", "r": "y + 11", "u": "r + 17", "e": "u + 1", "q": "e + 4", "m": 13}, "premises": {"m": 13}, "target": "z"}, "answer": {"steps": [["d", "l + 7", "l + 24"], ["l", "f + 6", "f + 30"], ["f", "o + 14", "o + 44"], ["o", "g + 10", "g + 54"], ["g", "m + 8", "m + 62"], ["m", 13, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"m": 13}, "is_reverse": true}}
| 4,705
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = g + 10; f = o + 14; y = k + 17; e = u + 1; u = r + 17; z = d + 17; r = y + 11; k = m + 18; m = 13; l = f + 6; g = m + 8; d = l + 7; q = e + 4. Given that m = 13, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 7 to z, which gives z = l + 24.\n2. Substitute l = f + 6 to z, which gives z = f + 30.\n3. Substitute f = o + 14 to z, which gives z = o + 44.\n4. Substitute o = g + 10 to z, which gives z = g + 54.\n5. Substitute g = m + 8 to z, which gives z = m + 62.\n6. Substitute m = 13 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 4705,
"question": "Suppose a collection of variables is related by the following definitions: o = g + 10; f = o + 14; y = k + 17; e = u + 1; u = r + 17; z = d + 17; r = y + 11; k = m + 18; m = 13; l = f + 6; g = m + 8; d = l + 7; q = e + 4. Given that m = 13, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"q": "o + 17", "l": "q + 3", "c": "l + 12", "z": "c + 4", "r": "z + 3", "w": "r + 7", "v": "o + 9", "u": "v + 13", "n": "u + 4", "m": "n + 1", "e": "m + 5", "i": "e + 7", "o": 9}, "premises": {"o": 9}, "target": "w"}, "answer": {"steps": [["r", "z + 3", "z + 10"], ["z", "c + 4", "c + 14"], ["c", "l + 12", "l + 26"], ["l", "q + 3", "q + 29"], ["q", "o + 17", "o + 46"], ["o", 9, "55"]], "target_var_name": "w", "target_value": 55, "value_dict": {"o": 9}, "is_reverse": true}}
| 4,706
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = o + 9; n = u + 4; l = q + 3; i = e + 7; u = v + 13; m = n + 1; w = r + 7; e = m + 5; r = z + 3; c = l + 12; z = c + 4; o = 9; q = o + 17. If o = 9, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 3 to w, which gives w = z + 10.\n2. Substitute z = c + 4 to w, which gives w = c + 14.\n3. Substitute c = l + 12 to w, which gives w = l + 26.\n4. Substitute l = q + 3 to w, which gives w = q + 29.\n5. Substitute q = o + 17 to w, which gives w = o + 46.\n6. Substitute o = 9 to w, which gives w = 55.\n\nThus, the final answer is w = \\boxed{55}.",
"index": 4706,
"question": "Consider a system of variables where each variable is defined as follows: v = o + 9; n = u + 4; l = q + 3; i = e + 7; u = v + 13; m = n + 1; w = r + 7; e = m + 5; r = z + 3; c = l + 12; z = c + 4; o = 9; q = o + 17. If o = 9, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"s": "i + 8", "w": "s + 7", "k": "w + 20", "h": "k + 20", "e": "h + 11", "p": "e + 11", "z": "i + 16", "q": "z + 9", "r": "q + 14", "l": "r + 3", "f": "l + 7", "u": "f + 2", "i": 7}, "premises": {"i": 7}, "target": "p"}, "answer": {"steps": [["e", "h + 11", "h + 22"], ["h", "k + 20", "k + 42"], ["k", "w + 20", "w + 62"], ["w", "s + 7", "s + 69"], ["s", "i + 8", "i + 77"], ["i", 7, "84"]], "target_var_name": "p", "target_value": 84, "value_dict": {"i": 7}, "is_reverse": true}}
| 4,707
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = f + 2; r = q + 14; w = s + 7; e = h + 11; s = i + 8; z = i + 16; f = l + 7; l = r + 3; i = 7; p = e + 11; k = w + 20; h = k + 20; q = z + 9. If i = 7, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 11 to p, which gives p = h + 22.\n2. Substitute h = k + 20 to p, which gives p = k + 42.\n3. Substitute k = w + 20 to p, which gives p = w + 62.\n4. Substitute w = s + 7 to p, which gives p = s + 69.\n5. Substitute s = i + 8 to p, which gives p = i + 77.\n6. Substitute i = 7 to p, which gives p = 84.\n\nThus, the final answer is p = \\boxed{84}.",
"index": 4707,
"question": "Consider a system of variables where each variable is defined as follows: u = f + 2; r = q + 14; w = s + 7; e = h + 11; s = i + 8; z = i + 16; f = l + 7; l = r + 3; i = 7; p = e + 11; k = w + 20; h = k + 20; q = z + 9. If i = 7, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"l": "a + 20", "t": "l + 16", "x": "t + 14", "g": "x + 2", "j": "g + 4", "v": "j + 8", "u": "a + 11", "c": "u + 11", "k": "c + 1", "d": "k + 3", "f": "d + 6", "p": "f + 6", "a": 13}, "premises": {"a": 13}, "target": "v"}, "answer": {"steps": [["j", "g + 4", "g + 12"], ["g", "x + 2", "x + 14"], ["x", "t + 14", "t + 28"], ["t", "l + 16", "l + 44"], ["l", "a + 20", "a + 64"], ["a", 13, "77"]], "target_var_name": "v", "target_value": 77, "value_dict": {"a": 13}, "is_reverse": true}}
| 4,708
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = l + 16; g = x + 2; x = t + 14; a = 13; f = d + 6; c = u + 11; v = j + 8; d = k + 3; k = c + 1; l = a + 20; j = g + 4; p = f + 6; u = a + 11. If a = 13, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 4 to v, which gives v = g + 12.\n2. Substitute g = x + 2 to v, which gives v = x + 14.\n3. Substitute x = t + 14 to v, which gives v = t + 28.\n4. Substitute t = l + 16 to v, which gives v = l + 44.\n5. Substitute l = a + 20 to v, which gives v = a + 64.\n6. Substitute a = 13 to v, which gives v = 77.\n\nThus, the final answer is v = \\boxed{77}.",
"index": 4708,
"question": "Consider a system of variables where each variable is defined as follows: t = l + 16; g = x + 2; x = t + 14; a = 13; f = d + 6; c = u + 11; v = j + 8; d = k + 3; k = c + 1; l = a + 20; j = g + 4; p = f + 6; u = a + 11. If a = 13, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"e": "k + 17", "q": "e + 12", "g": "q + 6", "d": "g + 18", "i": "d + 3", "a": "i + 1", "l": "k + 19", "r": "l + 2", "b": "r + 8", "p": "b + 4", "o": "p + 10", "m": "o + 18", "k": 3}, "premises": {"k": 3}, "target": "a"}, "answer": {"steps": [["i", "d + 3", "d + 4"], ["d", "g + 18", "g + 22"], ["g", "q + 6", "q + 28"], ["q", "e + 12", "e + 40"], ["e", "k + 17", "k + 57"], ["k", 3, "60"]], "target_var_name": "a", "target_value": 60, "value_dict": {"k": 3}, "is_reverse": true}}
| 4,709
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = o + 18; g = q + 6; o = p + 10; a = i + 1; e = k + 17; i = d + 3; d = g + 18; l = k + 19; q = e + 12; r = l + 2; b = r + 8; p = b + 4; k = 3. Given that k = 3, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 3 to a, which gives a = d + 4.\n2. Substitute d = g + 18 to a, which gives a = g + 22.\n3. Substitute g = q + 6 to a, which gives a = q + 28.\n4. Substitute q = e + 12 to a, which gives a = e + 40.\n5. Substitute e = k + 17 to a, which gives a = k + 57.\n6. Substitute k = 3 to a, which gives a = 60.\n\nThus, the final answer is a = \\boxed{60}.",
"index": 4709,
"question": "Suppose a collection of variables is related by the following definitions: m = o + 18; g = q + 6; o = p + 10; a = i + 1; e = k + 17; i = d + 3; d = g + 18; l = k + 19; q = e + 12; r = l + 2; b = r + 8; p = b + 4; k = 3. Given that k = 3, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"i": "j + 12", "d": "i + 10", "a": "d + 17", "c": "a + 13", "s": "c + 19", "m": "s + 20", "f": "j + 13", "t": "f + 19", "w": "t + 7", "b": "w + 19", "l": "b + 7", "v": "l + 7", "j": 8}, "premises": {"j": 8}, "target": "m"}, "answer": {"steps": [["s", "c + 19", "c + 39"], ["c", "a + 13", "a + 52"], ["a", "d + 17", "d + 69"], ["d", "i + 10", "i + 79"], ["i", "j + 12", "j + 91"], ["j", 8, "99"]], "target_var_name": "m", "target_value": 99, "value_dict": {"j": 8}, "is_reverse": true}}
| 4,710
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = c + 19; t = f + 19; j = 8; a = d + 17; w = t + 7; m = s + 20; b = w + 19; v = l + 7; i = j + 12; c = a + 13; l = b + 7; d = i + 10; f = j + 13. If j = 8, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 19 to m, which gives m = c + 39.\n2. Substitute c = a + 13 to m, which gives m = a + 52.\n3. Substitute a = d + 17 to m, which gives m = d + 69.\n4. Substitute d = i + 10 to m, which gives m = i + 79.\n5. Substitute i = j + 12 to m, which gives m = j + 91.\n6. Substitute j = 8 to m, which gives m = 99.\n\nThus, the final answer is m = \\boxed{99}.",
"index": 4710,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = c + 19; t = f + 19; j = 8; a = d + 17; w = t + 7; m = s + 20; b = w + 19; v = l + 7; i = j + 12; c = a + 13; l = b + 7; d = i + 10; f = j + 13. If j = 8, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"z": "v + 16", "g": "z + 11", "d": "g + 10", "u": "d + 12", "p": "u + 20", "j": "p + 9", "y": "v + 7", "r": "y + 6", "s": "r + 10", "f": "s + 5", "o": "f + 13", "t": "o + 9", "v": 5}, "premises": {"v": 5}, "target": "j"}, "answer": {"steps": [["p", "u + 20", "u + 29"], ["u", "d + 12", "d + 41"], ["d", "g + 10", "g + 51"], ["g", "z + 11", "z + 62"], ["z", "v + 16", "v + 78"], ["v", 5, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"v": 5}, "is_reverse": true}}
| 4,711
| 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 = f + 13; t = o + 9; f = s + 5; d = g + 10; z = v + 16; v = 5; j = p + 9; r = y + 6; y = v + 7; s = r + 10; p = u + 20; g = z + 11; u = d + 12. If v = 5, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 20 to j, which gives j = u + 29.\n2. Substitute u = d + 12 to j, which gives j = d + 41.\n3. Substitute d = g + 10 to j, which gives j = g + 51.\n4. Substitute g = z + 11 to j, which gives j = z + 62.\n5. Substitute z = v + 16 to j, which gives j = v + 78.\n6. Substitute v = 5 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 4711,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = f + 13; t = o + 9; f = s + 5; d = g + 10; z = v + 16; v = 5; j = p + 9; r = y + 6; y = v + 7; s = r + 10; p = u + 20; g = z + 11; u = d + 12. If v = 5, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 4", "e": "o + 7", "v": "e + 3", "l": "v + 17", "g": "l + 14", "s": "g + 19", "n": "a + 20", "x": "n + 6", "k": "x + 12", "y": "k + 4", "p": "y + 12", "d": "p + 14", "a": 4}, "premises": {"a": 4}, "target": "s"}, "answer": {"steps": [["g", "l + 14", "l + 33"], ["l", "v + 17", "v + 50"], ["v", "e + 3", "e + 53"], ["e", "o + 7", "o + 60"], ["o", "a + 4", "a + 64"], ["a", 4, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"a": 4}, "is_reverse": true}}
| 4,712
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = a + 20; o = a + 4; x = n + 6; s = g + 19; d = p + 14; a = 4; p = y + 12; k = x + 12; l = v + 17; y = k + 4; e = o + 7; g = l + 14; v = e + 3. Given that a = 4, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = l + 14 to s, which gives s = l + 33.\n2. Substitute l = v + 17 to s, which gives s = v + 50.\n3. Substitute v = e + 3 to s, which gives s = e + 53.\n4. Substitute e = o + 7 to s, which gives s = o + 60.\n5. Substitute o = a + 4 to s, which gives s = a + 64.\n6. Substitute a = 4 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 4712,
"question": "Suppose a collection of variables is related by the following definitions: n = a + 20; o = a + 4; x = n + 6; s = g + 19; d = p + 14; a = 4; p = y + 12; k = x + 12; l = v + 17; y = k + 4; e = o + 7; g = l + 14; v = e + 3. Given that a = 4, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"z": "x + 14", "s": "z + 14", "u": "s + 1", "t": "u + 11", "l": "t + 6", "r": "l + 20", "p": "x + 12", "k": "p + 9", "d": "k + 5", "j": "d + 11", "y": "j + 19", "e": "y + 10", "x": 15}, "premises": {"x": 15}, "target": "r"}, "answer": {"steps": [["l", "t + 6", "t + 26"], ["t", "u + 11", "u + 37"], ["u", "s + 1", "s + 38"], ["s", "z + 14", "z + 52"], ["z", "x + 14", "x + 66"], ["x", 15, "81"]], "target_var_name": "r", "target_value": 81, "value_dict": {"x": 15}, "is_reverse": true}}
| 4,713
| 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 = t + 6; j = d + 11; z = x + 14; p = x + 12; x = 15; k = p + 9; d = k + 5; s = z + 14; r = l + 20; u = s + 1; y = j + 19; e = y + 10; t = u + 11. If x = 15, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 6 to r, which gives r = t + 26.\n2. Substitute t = u + 11 to r, which gives r = u + 37.\n3. Substitute u = s + 1 to r, which gives r = s + 38.\n4. Substitute s = z + 14 to r, which gives r = z + 52.\n5. Substitute z = x + 14 to r, which gives r = x + 66.\n6. Substitute x = 15 to r, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 4713,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 6; j = d + 11; z = x + 14; p = x + 12; x = 15; k = p + 9; d = k + 5; s = z + 14; r = l + 20; u = s + 1; y = j + 19; e = y + 10; t = u + 11. If x = 15, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"u": "a + 11", "f": "u + 18", "n": "f + 14", "o": "n + 3", "d": "o + 18", "g": "d + 3", "x": "a + 2", "z": "x + 18", "q": "z + 9", "r": "q + 20", "w": "r + 19", "h": "w + 6", "a": 3}, "premises": {"a": 3}, "target": "g"}, "answer": {"steps": [["d", "o + 18", "o + 21"], ["o", "n + 3", "n + 24"], ["n", "f + 14", "f + 38"], ["f", "u + 18", "u + 56"], ["u", "a + 11", "a + 67"], ["a", 3, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"a": 3}, "is_reverse": true}}
| 4,714
| 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 = f + 14; r = q + 20; f = u + 18; u = a + 11; q = z + 9; a = 3; x = a + 2; g = d + 3; o = n + 3; d = o + 18; z = x + 18; h = w + 6; w = r + 19. If a = 3, what is the resulting 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 d = o + 18 to g, which gives g = o + 21.\n2. Substitute o = n + 3 to g, which gives g = n + 24.\n3. Substitute n = f + 14 to g, which gives g = f + 38.\n4. Substitute f = u + 18 to g, which gives g = u + 56.\n5. Substitute u = a + 11 to g, which gives g = a + 67.\n6. Substitute a = 3 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 4714,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = f + 14; r = q + 20; f = u + 18; u = a + 11; q = z + 9; a = 3; x = a + 2; g = d + 3; o = n + 3; d = o + 18; z = x + 18; h = w + 6; w = r + 19. If a = 3, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"r": "n + 20", "s": "r + 13", "m": "s + 18", "y": "m + 11", "j": "y + 6", "f": "j + 17", "a": "n + 17", "q": "a + 16", "z": "q + 8", "p": "z + 15", "u": "p + 5", "d": "u + 11", "n": 4}, "premises": {"n": 4}, "target": "f"}, "answer": {"steps": [["j", "y + 6", "y + 23"], ["y", "m + 11", "m + 34"], ["m", "s + 18", "s + 52"], ["s", "r + 13", "r + 65"], ["r", "n + 20", "n + 85"], ["n", 4, "89"]], "target_var_name": "f", "target_value": 89, "value_dict": {"n": 4}, "is_reverse": true}}
| 4,715
| 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 = p + 5; p = z + 15; y = m + 11; q = a + 16; m = s + 18; a = n + 17; r = n + 20; f = j + 17; d = u + 11; s = r + 13; j = y + 6; n = 4; z = q + 8. If n = 4, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 6 to f, which gives f = y + 23.\n2. Substitute y = m + 11 to f, which gives f = m + 34.\n3. Substitute m = s + 18 to f, which gives f = s + 52.\n4. Substitute s = r + 13 to f, which gives f = r + 65.\n5. Substitute r = n + 20 to f, which gives f = n + 85.\n6. Substitute n = 4 to f, which gives f = 89.\n\nThus, the final answer is f = \\boxed{89}.",
"index": 4715,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 5; p = z + 15; y = m + 11; q = a + 16; m = s + 18; a = n + 17; r = n + 20; f = j + 17; d = u + 11; s = r + 13; j = y + 6; n = 4; z = q + 8. If n = 4, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"i": "k + 14", "e": "i + 2", "h": "e + 11", "s": "h + 16", "u": "s + 9", "d": "u + 18", "t": "k + 13", "x": "t + 11", "w": "x + 17", "o": "w + 4", "l": "o + 10", "q": "l + 10", "k": 6}, "premises": {"k": 6}, "target": "d"}, "answer": {"steps": [["u", "s + 9", "s + 27"], ["s", "h + 16", "h + 43"], ["h", "e + 11", "e + 54"], ["e", "i + 2", "i + 56"], ["i", "k + 14", "k + 70"], ["k", 6, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"k": 6}, "is_reverse": true}}
| 4,716
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = e + 11; u = s + 9; w = x + 17; x = t + 11; t = k + 13; q = l + 10; l = o + 10; k = 6; s = h + 16; o = w + 4; i = k + 14; d = u + 18; e = i + 2. If k = 6, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 9 to d, which gives d = s + 27.\n2. Substitute s = h + 16 to d, which gives d = h + 43.\n3. Substitute h = e + 11 to d, which gives d = e + 54.\n4. Substitute e = i + 2 to d, which gives d = i + 56.\n5. Substitute i = k + 14 to d, which gives d = k + 70.\n6. Substitute k = 6 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 4716,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = e + 11; u = s + 9; w = x + 17; x = t + 11; t = k + 13; q = l + 10; l = o + 10; k = 6; s = h + 16; o = w + 4; i = k + 14; d = u + 18; e = i + 2. If k = 6, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"q": "g + 8", "x": "q + 2", "a": "x + 3", "u": "a + 11", "m": "u + 15", "z": "m + 1", "e": "g + 3", "d": "e + 1", "r": "d + 3", "o": "r + 2", "p": "o + 1", "w": "p + 11", "g": 8}, "premises": {"g": 8}, "target": "z"}, "answer": {"steps": [["m", "u + 15", "u + 16"], ["u", "a + 11", "a + 27"], ["a", "x + 3", "x + 30"], ["x", "q + 2", "q + 32"], ["q", "g + 8", "g + 40"], ["g", 8, "48"]], "target_var_name": "z", "target_value": 48, "value_dict": {"g": 8}, "is_reverse": true}}
| 4,717
| 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 = e + 1; x = q + 2; z = m + 1; g = 8; p = o + 1; r = d + 3; w = p + 11; m = u + 15; o = r + 2; a = x + 3; q = g + 8; e = g + 3; u = a + 11. If g = 8, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 15 to z, which gives z = u + 16.\n2. Substitute u = a + 11 to z, which gives z = a + 27.\n3. Substitute a = x + 3 to z, which gives z = x + 30.\n4. Substitute x = q + 2 to z, which gives z = q + 32.\n5. Substitute q = g + 8 to z, which gives z = g + 40.\n6. Substitute g = 8 to z, which gives z = 48.\n\nThus, the final answer is z = \\boxed{48}.",
"index": 4717,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 1; x = q + 2; z = m + 1; g = 8; p = o + 1; r = d + 3; w = p + 11; m = u + 15; o = r + 2; a = x + 3; q = g + 8; e = g + 3; u = a + 11. If g = 8, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"y": "l + 17", "h": "y + 9", "b": "h + 14", "s": "b + 20", "g": "s + 14", "f": "g + 3", "i": "l + 11", "w": "i + 3", "a": "w + 15", "x": "a + 16", "j": "x + 14", "o": "j + 15", "l": 9}, "premises": {"l": 9}, "target": "f"}, "answer": {"steps": [["g", "s + 14", "s + 17"], ["s", "b + 20", "b + 37"], ["b", "h + 14", "h + 51"], ["h", "y + 9", "y + 60"], ["y", "l + 17", "l + 77"], ["l", 9, "86"]], "target_var_name": "f", "target_value": 86, "value_dict": {"l": 9}, "is_reverse": true}}
| 4,718
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = j + 15; w = i + 3; f = g + 3; a = w + 15; j = x + 14; g = s + 14; s = b + 20; b = h + 14; h = y + 9; x = a + 16; l = 9; y = l + 17; i = l + 11. If l = 9, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 14 to f, which gives f = s + 17.\n2. Substitute s = b + 20 to f, which gives f = b + 37.\n3. Substitute b = h + 14 to f, which gives f = h + 51.\n4. Substitute h = y + 9 to f, which gives f = y + 60.\n5. Substitute y = l + 17 to f, which gives f = l + 77.\n6. Substitute l = 9 to f, which gives f = 86.\n\nThus, the final answer is f = \\boxed{86}.",
"index": 4718,
"question": "Consider a system of variables where each variable is defined as follows: o = j + 15; w = i + 3; f = g + 3; a = w + 15; j = x + 14; g = s + 14; s = b + 20; b = h + 14; h = y + 9; x = a + 16; l = 9; y = l + 17; i = l + 11. If l = 9, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"x": "m + 12", "f": "x + 10", "i": "f + 5", "a": "i + 2", "l": "a + 15", "e": "l + 3", "z": "m + 2", "n": "z + 18", "u": "n + 7", "p": "u + 15", "t": "p + 2", "r": "t + 17", "m": 13}, "premises": {"m": 13}, "target": "e"}, "answer": {"steps": [["l", "a + 15", "a + 18"], ["a", "i + 2", "i + 20"], ["i", "f + 5", "f + 25"], ["f", "x + 10", "x + 35"], ["x", "m + 12", "m + 47"], ["m", 13, "60"]], "target_var_name": "e", "target_value": 60, "value_dict": {"m": 13}, "is_reverse": true}}
| 4,719
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = l + 3; a = i + 2; f = x + 10; r = t + 17; x = m + 12; p = u + 15; z = m + 2; t = p + 2; l = a + 15; m = 13; n = z + 18; i = f + 5; u = n + 7. Given that m = 13, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 15 to e, which gives e = a + 18.\n2. Substitute a = i + 2 to e, which gives e = i + 20.\n3. Substitute i = f + 5 to e, which gives e = f + 25.\n4. Substitute f = x + 10 to e, which gives e = x + 35.\n5. Substitute x = m + 12 to e, which gives e = m + 47.\n6. Substitute m = 13 to e, which gives e = 60.\n\nThus, the final answer is e = \\boxed{60}.",
"index": 4719,
"question": "Suppose a collection of variables is related by the following definitions: e = l + 3; a = i + 2; f = x + 10; r = t + 17; x = m + 12; p = u + 15; z = m + 2; t = p + 2; l = a + 15; m = 13; n = z + 18; i = f + 5; u = n + 7. Given that m = 13, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"l": "d + 18", "q": "l + 5", "h": "q + 18", "s": "h + 18", "p": "s + 15", "n": "p + 7", "c": "d + 4", "y": "c + 17", "u": "y + 15", "t": "u + 12", "a": "t + 11", "f": "a + 3", "d": 2}, "premises": {"d": 2}, "target": "n"}, "answer": {"steps": [["p", "s + 15", "s + 22"], ["s", "h + 18", "h + 40"], ["h", "q + 18", "q + 58"], ["q", "l + 5", "l + 63"], ["l", "d + 18", "d + 81"], ["d", 2, "83"]], "target_var_name": "n", "target_value": 83, "value_dict": {"d": 2}, "is_reverse": true}}
| 4,720
| 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 + 18; c = d + 4; a = t + 11; f = a + 3; p = s + 15; y = c + 17; t = u + 12; h = q + 18; l = d + 18; n = p + 7; u = y + 15; d = 2; q = l + 5. If d = 2, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 15 to n, which gives n = s + 22.\n2. Substitute s = h + 18 to n, which gives n = h + 40.\n3. Substitute h = q + 18 to n, which gives n = q + 58.\n4. Substitute q = l + 5 to n, which gives n = l + 63.\n5. Substitute l = d + 18 to n, which gives n = d + 81.\n6. Substitute d = 2 to n, which gives n = 83.\n\nThus, the final answer is n = \\boxed{83}.",
"index": 4720,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 18; c = d + 4; a = t + 11; f = a + 3; p = s + 15; y = c + 17; t = u + 12; h = q + 18; l = d + 18; n = p + 7; u = y + 15; d = 2; q = l + 5. If d = 2, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"r": "b + 14", "q": "r + 20", "w": "q + 4", "u": "w + 18", "j": "u + 6", "h": "j + 15", "p": "b + 19", "a": "p + 6", "l": "a + 18", "m": "l + 13", "n": "m + 1", "f": "n + 8", "b": 8}, "premises": {"b": 8}, "target": "h"}, "answer": {"steps": [["j", "u + 6", "u + 21"], ["u", "w + 18", "w + 39"], ["w", "q + 4", "q + 43"], ["q", "r + 20", "r + 63"], ["r", "b + 14", "b + 77"], ["b", 8, "85"]], "target_var_name": "h", "target_value": 85, "value_dict": {"b": 8}, "is_reverse": true}}
| 4,721
| 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 = u + 6; a = p + 6; l = a + 18; h = j + 15; n = m + 1; r = b + 14; f = n + 8; q = r + 20; b = 8; w = q + 4; m = l + 13; u = w + 18; p = b + 19. If b = 8, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 6 to h, which gives h = u + 21.\n2. Substitute u = w + 18 to h, which gives h = w + 39.\n3. Substitute w = q + 4 to h, which gives h = q + 43.\n4. Substitute q = r + 20 to h, which gives h = r + 63.\n5. Substitute r = b + 14 to h, which gives h = b + 77.\n6. Substitute b = 8 to h, which gives h = 85.\n\nThus, the final answer is h = \\boxed{85}.",
"index": 4721,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = u + 6; a = p + 6; l = a + 18; h = j + 15; n = m + 1; r = b + 14; f = n + 8; q = r + 20; b = 8; w = q + 4; m = l + 13; u = w + 18; p = b + 19. If b = 8, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 16", "k": "q + 20", "y": "k + 18", "s": "y + 20", "c": "s + 1", "u": "c + 6", "r": "i + 14", "p": "r + 7", "l": "p + 13", "a": "l + 9", "w": "a + 6", "j": "w + 17", "i": 7}, "premises": {"i": 7}, "target": "u"}, "answer": {"steps": [["c", "s + 1", "s + 7"], ["s", "y + 20", "y + 27"], ["y", "k + 18", "k + 45"], ["k", "q + 20", "q + 65"], ["q", "i + 16", "i + 81"], ["i", 7, "88"]], "target_var_name": "u", "target_value": 88, "value_dict": {"i": 7}, "is_reverse": true}}
| 4,722
| 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 = l + 9; u = c + 6; c = s + 1; q = i + 16; w = a + 6; j = w + 17; p = r + 7; y = k + 18; r = i + 14; l = p + 13; i = 7; s = y + 20; k = q + 20. If i = 7, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 1 to u, which gives u = s + 7.\n2. Substitute s = y + 20 to u, which gives u = y + 27.\n3. Substitute y = k + 18 to u, which gives u = k + 45.\n4. Substitute k = q + 20 to u, which gives u = q + 65.\n5. Substitute q = i + 16 to u, which gives u = i + 81.\n6. Substitute i = 7 to u, which gives u = 88.\n\nThus, the final answer is u = \\boxed{88}.",
"index": 4722,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = l + 9; u = c + 6; c = s + 1; q = i + 16; w = a + 6; j = w + 17; p = r + 7; y = k + 18; r = i + 14; l = p + 13; i = 7; s = y + 20; k = q + 20. If i = 7, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 5", "d": "n + 13", "i": "d + 14", "o": "i + 4", "c": "o + 15", "y": "c + 8", "a": "q + 20", "p": "a + 16", "s": "p + 7", "m": "s + 9", "k": "m + 13", "x": "k + 2", "q": 18}, "premises": {"q": 18}, "target": "y"}, "answer": {"steps": [["c", "o + 15", "o + 23"], ["o", "i + 4", "i + 27"], ["i", "d + 14", "d + 41"], ["d", "n + 13", "n + 54"], ["n", "q + 5", "q + 59"], ["q", 18, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"q": 18}, "is_reverse": true}}
| 4,723
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = k + 2; y = c + 8; a = q + 20; k = m + 13; s = p + 7; m = s + 9; o = i + 4; q = 18; p = a + 16; i = d + 14; c = o + 15; n = q + 5; d = n + 13. If q = 18, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 15 to y, which gives y = o + 23.\n2. Substitute o = i + 4 to y, which gives y = i + 27.\n3. Substitute i = d + 14 to y, which gives y = d + 41.\n4. Substitute d = n + 13 to y, which gives y = n + 54.\n5. Substitute n = q + 5 to y, which gives y = q + 59.\n6. Substitute q = 18 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 4723,
"question": "Consider a system of variables where each variable is defined as follows: x = k + 2; y = c + 8; a = q + 20; k = m + 13; s = p + 7; m = s + 9; o = i + 4; q = 18; p = a + 16; i = d + 14; c = o + 15; n = q + 5; d = n + 13. If q = 18, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"t": "p + 19", "o": "t + 5", "y": "o + 19", "q": "y + 14", "f": "q + 11", "r": "f + 3", "l": "p + 13", "e": "l + 8", "h": "e + 3", "b": "h + 3", "n": "b + 15", "g": "n + 11", "p": 19}, "premises": {"p": 19}, "target": "r"}, "answer": {"steps": [["f", "q + 11", "q + 14"], ["q", "y + 14", "y + 28"], ["y", "o + 19", "o + 47"], ["o", "t + 5", "t + 52"], ["t", "p + 19", "p + 71"], ["p", 19, "90"]], "target_var_name": "r", "target_value": 90, "value_dict": {"p": 19}, "is_reverse": true}}
| 4,724
| 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 = y + 14; y = o + 19; f = q + 11; e = l + 8; t = p + 19; h = e + 3; l = p + 13; g = n + 11; r = f + 3; p = 19; b = h + 3; n = b + 15; o = t + 5. If p = 19, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 11 to r, which gives r = q + 14.\n2. Substitute q = y + 14 to r, which gives r = y + 28.\n3. Substitute y = o + 19 to r, which gives r = o + 47.\n4. Substitute o = t + 5 to r, which gives r = t + 52.\n5. Substitute t = p + 19 to r, which gives r = p + 71.\n6. Substitute p = 19 to r, which gives r = 90.\n\nThus, the final answer is r = \\boxed{90}.",
"index": 4724,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = y + 14; y = o + 19; f = q + 11; e = l + 8; t = p + 19; h = e + 3; l = p + 13; g = n + 11; r = f + 3; p = 19; b = h + 3; n = b + 15; o = t + 5. If p = 19, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"q": "g + 2", "e": "q + 17", "z": "e + 20", "k": "z + 2", "h": "k + 8", "w": "h + 12", "o": "g + 10", "b": "o + 14", "a": "b + 19", "c": "a + 3", "r": "c + 18", "u": "r + 5", "g": 18}, "premises": {"g": 18}, "target": "w"}, "answer": {"steps": [["h", "k + 8", "k + 20"], ["k", "z + 2", "z + 22"], ["z", "e + 20", "e + 42"], ["e", "q + 17", "q + 59"], ["q", "g + 2", "g + 61"], ["g", 18, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"g": 18}, "is_reverse": true}}
| 4,725
| 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 = q + 17; u = r + 5; o = g + 10; r = c + 18; k = z + 2; h = k + 8; a = b + 19; c = a + 3; g = 18; q = g + 2; w = h + 12; z = e + 20; b = o + 14. If g = 18, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 8 to w, which gives w = k + 20.\n2. Substitute k = z + 2 to w, which gives w = z + 22.\n3. Substitute z = e + 20 to w, which gives w = e + 42.\n4. Substitute e = q + 17 to w, which gives w = q + 59.\n5. Substitute q = g + 2 to w, which gives w = g + 61.\n6. Substitute g = 18 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 4725,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = q + 17; u = r + 5; o = g + 10; r = c + 18; k = z + 2; h = k + 8; a = b + 19; c = a + 3; g = 18; q = g + 2; w = h + 12; z = e + 20; b = o + 14. If g = 18, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"l": "m + 18", "c": "l + 11", "x": "c + 5", "t": "x + 3", "o": "t + 17", "a": "o + 13", "i": "m + 8", "v": "i + 13", "g": "v + 1", "n": "g + 10", "r": "n + 12", "u": "r + 3", "m": 1}, "premises": {"m": 1}, "target": "a"}, "answer": {"steps": [["o", "t + 17", "t + 30"], ["t", "x + 3", "x + 33"], ["x", "c + 5", "c + 38"], ["c", "l + 11", "l + 49"], ["l", "m + 18", "m + 67"], ["m", 1, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"m": 1}, "is_reverse": true}}
| 4,726
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = c + 5; u = r + 3; o = t + 17; i = m + 8; t = x + 3; c = l + 11; v = i + 13; l = m + 18; m = 1; g = v + 1; r = n + 12; a = o + 13; n = g + 10. Given that m = 1, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 17 to a, which gives a = t + 30.\n2. Substitute t = x + 3 to a, which gives a = x + 33.\n3. Substitute x = c + 5 to a, which gives a = c + 38.\n4. Substitute c = l + 11 to a, which gives a = l + 49.\n5. Substitute l = m + 18 to a, which gives a = m + 67.\n6. Substitute m = 1 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 4726,
"question": "Suppose a collection of variables is related by the following definitions: x = c + 5; u = r + 3; o = t + 17; i = m + 8; t = x + 3; c = l + 11; v = i + 13; l = m + 18; m = 1; g = v + 1; r = n + 12; a = o + 13; n = g + 10. Given that m = 1, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"g": "m + 20", "o": "g + 9", "y": "o + 17", "b": "y + 12", "n": "b + 17", "p": "n + 3", "f": "m + 16", "v": "f + 19", "r": "v + 6", "l": "r + 14", "h": "l + 12", "s": "h + 12", "m": 18}, "premises": {"m": 18}, "target": "p"}, "answer": {"steps": [["n", "b + 17", "b + 20"], ["b", "y + 12", "y + 32"], ["y", "o + 17", "o + 49"], ["o", "g + 9", "g + 58"], ["g", "m + 20", "m + 78"], ["m", 18, "96"]], "target_var_name": "p", "target_value": 96, "value_dict": {"m": 18}, "is_reverse": true}}
| 4,727
| 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 = r + 14; r = v + 6; v = f + 19; o = g + 9; p = n + 3; m = 18; n = b + 17; f = m + 16; h = l + 12; y = o + 17; b = y + 12; g = m + 20; s = h + 12. If m = 18, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 17 to p, which gives p = b + 20.\n2. Substitute b = y + 12 to p, which gives p = y + 32.\n3. Substitute y = o + 17 to p, which gives p = o + 49.\n4. Substitute o = g + 9 to p, which gives p = g + 58.\n5. Substitute g = m + 20 to p, which gives p = m + 78.\n6. Substitute m = 18 to p, which gives p = 96.\n\nThus, the final answer is p = \\boxed{96}.",
"index": 4727,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = r + 14; r = v + 6; v = f + 19; o = g + 9; p = n + 3; m = 18; n = b + 17; f = m + 16; h = l + 12; y = o + 17; b = y + 12; g = m + 20; s = h + 12. If m = 18, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"x": "j + 12", "n": "x + 10", "c": "n + 3", "p": "c + 20", "i": "p + 16", "d": "i + 8", "h": "j + 16", "g": "h + 14", "q": "g + 12", "l": "q + 1", "e": "l + 2", "z": "e + 18", "j": 16}, "premises": {"j": 16}, "target": "d"}, "answer": {"steps": [["i", "p + 16", "p + 24"], ["p", "c + 20", "c + 44"], ["c", "n + 3", "n + 47"], ["n", "x + 10", "x + 57"], ["x", "j + 12", "j + 69"], ["j", 16, "85"]], "target_var_name": "d", "target_value": 85, "value_dict": {"j": 16}, "is_reverse": true}}
| 4,728
| 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 = l + 2; x = j + 12; g = h + 14; j = 16; i = p + 16; p = c + 20; c = n + 3; l = q + 1; n = x + 10; z = e + 18; d = i + 8; h = j + 16; q = g + 12. If j = 16, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 16 to d, which gives d = p + 24.\n2. Substitute p = c + 20 to d, which gives d = c + 44.\n3. Substitute c = n + 3 to d, which gives d = n + 47.\n4. Substitute n = x + 10 to d, which gives d = x + 57.\n5. Substitute x = j + 12 to d, which gives d = j + 69.\n6. Substitute j = 16 to d, which gives d = 85.\n\nThus, the final answer is d = \\boxed{85}.",
"index": 4728,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = l + 2; x = j + 12; g = h + 14; j = 16; i = p + 16; p = c + 20; c = n + 3; l = q + 1; n = x + 10; z = e + 18; d = i + 8; h = j + 16; q = g + 12. If j = 16, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"i": "z + 14", "v": "i + 20", "w": "v + 17", "b": "w + 19", "f": "b + 14", "y": "f + 1", "t": "z + 6", "g": "t + 16", "d": "g + 17", "m": "d + 11", "k": "m + 17", "u": "k + 6", "z": 1}, "premises": {"z": 1}, "target": "y"}, "answer": {"steps": [["f", "b + 14", "b + 15"], ["b", "w + 19", "w + 34"], ["w", "v + 17", "v + 51"], ["v", "i + 20", "i + 71"], ["i", "z + 14", "z + 85"], ["z", 1, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"z": 1}, "is_reverse": true}}
| 4,729
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = k + 6; k = m + 17; y = f + 1; f = b + 14; w = v + 17; g = t + 16; i = z + 14; v = i + 20; d = g + 17; b = w + 19; t = z + 6; z = 1; m = d + 11. Given that z = 1, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 14 to y, which gives y = b + 15.\n2. Substitute b = w + 19 to y, which gives y = w + 34.\n3. Substitute w = v + 17 to y, which gives y = v + 51.\n4. Substitute v = i + 20 to y, which gives y = i + 71.\n5. Substitute i = z + 14 to y, which gives y = z + 85.\n6. Substitute z = 1 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 4729,
"question": "Suppose a collection of variables is related by the following definitions: u = k + 6; k = m + 17; y = f + 1; f = b + 14; w = v + 17; g = t + 16; i = z + 14; v = i + 20; d = g + 17; b = w + 19; t = z + 6; z = 1; m = d + 11. Given that z = 1, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"g": "k + 7", "s": "g + 11", "z": "s + 11", "c": "z + 7", "l": "c + 3", "v": "l + 10", "m": "k + 2", "n": "m + 7", "d": "n + 14", "f": "d + 13", "t": "f + 12", "q": "t + 18", "k": 12}, "premises": {"k": 12}, "target": "v"}, "answer": {"steps": [["l", "c + 3", "c + 13"], ["c", "z + 7", "z + 20"], ["z", "s + 11", "s + 31"], ["s", "g + 11", "g + 42"], ["g", "k + 7", "k + 49"], ["k", 12, "61"]], "target_var_name": "v", "target_value": 61, "value_dict": {"k": 12}, "is_reverse": true}}
| 4,730
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = s + 11; d = n + 14; q = t + 18; k = 12; g = k + 7; v = l + 10; n = m + 7; m = k + 2; c = z + 7; s = g + 11; l = c + 3; t = f + 12; f = d + 13. Given that k = 12, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 3 to v, which gives v = c + 13.\n2. Substitute c = z + 7 to v, which gives v = z + 20.\n3. Substitute z = s + 11 to v, which gives v = s + 31.\n4. Substitute s = g + 11 to v, which gives v = g + 42.\n5. Substitute g = k + 7 to v, which gives v = k + 49.\n6. Substitute k = 12 to v, which gives v = 61.\n\nThus, the final answer is v = \\boxed{61}.",
"index": 4730,
"question": "Suppose a collection of variables is related by the following definitions: z = s + 11; d = n + 14; q = t + 18; k = 12; g = k + 7; v = l + 10; n = m + 7; m = k + 2; c = z + 7; s = g + 11; l = c + 3; t = f + 12; f = d + 13. Given that k = 12, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"a": "u + 1", "v": "a + 20", "k": "v + 19", "o": "k + 6", "c": "o + 4", "z": "c + 14", "e": "u + 20", "m": "e + 18", "b": "m + 4", "j": "b + 3", "r": "j + 8", "l": "r + 10", "u": 18}, "premises": {"u": 18}, "target": "z"}, "answer": {"steps": [["c", "o + 4", "o + 18"], ["o", "k + 6", "k + 24"], ["k", "v + 19", "v + 43"], ["v", "a + 20", "a + 63"], ["a", "u + 1", "u + 64"], ["u", 18, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"u": 18}, "is_reverse": true}}
| 4,731
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 20; b = m + 4; l = r + 10; c = o + 4; o = k + 6; u = 18; a = u + 1; v = a + 20; m = e + 18; r = j + 8; j = b + 3; z = c + 14; k = v + 19. If u = 18, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 4 to z, which gives z = o + 18.\n2. Substitute o = k + 6 to z, which gives z = k + 24.\n3. Substitute k = v + 19 to z, which gives z = v + 43.\n4. Substitute v = a + 20 to z, which gives z = a + 63.\n5. Substitute a = u + 1 to z, which gives z = u + 64.\n6. Substitute u = 18 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 4731,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 20; b = m + 4; l = r + 10; c = o + 4; o = k + 6; u = 18; a = u + 1; v = a + 20; m = e + 18; r = j + 8; j = b + 3; z = c + 14; k = v + 19. If u = 18, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"o": "u + 10", "d": "o + 10", "r": "d + 15", "a": "r + 15", "y": "a + 10", "m": "y + 9", "t": "u + 11", "f": "t + 3", "i": "f + 7", "l": "i + 1", "k": "l + 3", "j": "k + 5", "u": 2}, "premises": {"u": 2}, "target": "m"}, "answer": {"steps": [["y", "a + 10", "a + 19"], ["a", "r + 15", "r + 34"], ["r", "d + 15", "d + 49"], ["d", "o + 10", "o + 59"], ["o", "u + 10", "u + 69"], ["u", 2, "71"]], "target_var_name": "m", "target_value": 71, "value_dict": {"u": 2}, "is_reverse": true}}
| 4,732
| 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 = o + 10; u = 2; j = k + 5; t = u + 11; m = y + 9; l = i + 1; a = r + 15; r = d + 15; f = t + 3; o = u + 10; k = l + 3; y = a + 10; i = f + 7. If u = 2, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 10 to m, which gives m = a + 19.\n2. Substitute a = r + 15 to m, which gives m = r + 34.\n3. Substitute r = d + 15 to m, which gives m = d + 49.\n4. Substitute d = o + 10 to m, which gives m = o + 59.\n5. Substitute o = u + 10 to m, which gives m = u + 69.\n6. Substitute u = 2 to m, which gives m = 71.\n\nThus, the final answer is m = \\boxed{71}.",
"index": 4732,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 10; u = 2; j = k + 5; t = u + 11; m = y + 9; l = i + 1; a = r + 15; r = d + 15; f = t + 3; o = u + 10; k = l + 3; y = a + 10; i = f + 7. If u = 2, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"o": "w + 17", "f": "o + 2", "k": "f + 5", "t": "k + 14", "j": "t + 1", "p": "j + 16", "l": "w + 2", "i": "l + 7", "a": "i + 7", "q": "a + 4", "v": "q + 11", "c": "v + 6", "w": 13}, "premises": {"w": 13}, "target": "p"}, "answer": {"steps": [["j", "t + 1", "t + 17"], ["t", "k + 14", "k + 31"], ["k", "f + 5", "f + 36"], ["f", "o + 2", "o + 38"], ["o", "w + 17", "w + 55"], ["w", 13, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"w": 13}, "is_reverse": true}}
| 4,733
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = w + 17; v = q + 11; c = v + 6; j = t + 1; w = 13; p = j + 16; t = k + 14; a = i + 7; f = o + 2; k = f + 5; i = l + 7; q = a + 4; l = w + 2. Given that w = 13, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 1 to p, which gives p = t + 17.\n2. Substitute t = k + 14 to p, which gives p = k + 31.\n3. Substitute k = f + 5 to p, which gives p = f + 36.\n4. Substitute f = o + 2 to p, which gives p = o + 38.\n5. Substitute o = w + 17 to p, which gives p = w + 55.\n6. Substitute w = 13 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 4733,
"question": "Suppose a collection of variables is related by the following definitions: o = w + 17; v = q + 11; c = v + 6; j = t + 1; w = 13; p = j + 16; t = k + 14; a = i + 7; f = o + 2; k = f + 5; i = l + 7; q = a + 4; l = w + 2. Given that w = 13, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"t": "p + 7", "v": "t + 14", "d": "v + 10", "x": "d + 10", "m": "x + 4", "j": "m + 20", "h": "p + 6", "a": "h + 12", "u": "a + 5", "o": "u + 10", "q": "o + 7", "l": "q + 15", "p": 13}, "premises": {"p": 13}, "target": "j"}, "answer": {"steps": [["m", "x + 4", "x + 24"], ["x", "d + 10", "d + 34"], ["d", "v + 10", "v + 44"], ["v", "t + 14", "t + 58"], ["t", "p + 7", "p + 65"], ["p", 13, "78"]], "target_var_name": "j", "target_value": 78, "value_dict": {"p": 13}, "is_reverse": true}}
| 4,734
| 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 = 13; q = o + 7; a = h + 12; l = q + 15; t = p + 7; u = a + 5; x = d + 10; d = v + 10; h = p + 6; j = m + 20; v = t + 14; o = u + 10; m = x + 4. If p = 13, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 4 to j, which gives j = x + 24.\n2. Substitute x = d + 10 to j, which gives j = d + 34.\n3. Substitute d = v + 10 to j, which gives j = v + 44.\n4. Substitute v = t + 14 to j, which gives j = t + 58.\n5. Substitute t = p + 7 to j, which gives j = p + 65.\n6. Substitute p = 13 to j, which gives j = 78.\n\nThus, the final answer is j = \\boxed{78}.",
"index": 4734,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = 13; q = o + 7; a = h + 12; l = q + 15; t = p + 7; u = a + 5; x = d + 10; d = v + 10; h = p + 6; j = m + 20; v = t + 14; o = u + 10; m = x + 4. If p = 13, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"o": "w + 19", "u": "o + 13", "n": "u + 12", "c": "n + 2", "j": "c + 12", "q": "j + 18", "k": "w + 13", "i": "k + 15", "l": "i + 11", "m": "l + 3", "v": "m + 8", "d": "v + 18", "w": 14}, "premises": {"w": 14}, "target": "q"}, "answer": {"steps": [["j", "c + 12", "c + 30"], ["c", "n + 2", "n + 32"], ["n", "u + 12", "u + 44"], ["u", "o + 13", "o + 57"], ["o", "w + 19", "w + 76"], ["w", 14, "90"]], "target_var_name": "q", "target_value": 90, "value_dict": {"w": 14}, "is_reverse": true}}
| 4,735
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = w + 13; m = l + 3; w = 14; o = w + 19; q = j + 18; i = k + 15; d = v + 18; l = i + 11; c = n + 2; u = o + 13; v = m + 8; j = c + 12; n = u + 12. Given that w = 14, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 12 to q, which gives q = c + 30.\n2. Substitute c = n + 2 to q, which gives q = n + 32.\n3. Substitute n = u + 12 to q, which gives q = u + 44.\n4. Substitute u = o + 13 to q, which gives q = o + 57.\n5. Substitute o = w + 19 to q, which gives q = w + 76.\n6. Substitute w = 14 to q, which gives q = 90.\n\nThus, the final answer is q = \\boxed{90}.",
"index": 4735,
"question": "Suppose a collection of variables is related by the following definitions: k = w + 13; m = l + 3; w = 14; o = w + 19; q = j + 18; i = k + 15; d = v + 18; l = i + 11; c = n + 2; u = o + 13; v = m + 8; j = c + 12; n = u + 12. Given that w = 14, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"w": "c + 11", "v": "w + 16", "q": "v + 15", "o": "q + 5", "n": "o + 10", "t": "n + 12", "g": "c + 1", "h": "g + 8", "j": "h + 6", "i": "j + 7", "s": "i + 3", "m": "s + 10", "c": 15}, "premises": {"c": 15}, "target": "t"}, "answer": {"steps": [["n", "o + 10", "o + 22"], ["o", "q + 5", "q + 27"], ["q", "v + 15", "v + 42"], ["v", "w + 16", "w + 58"], ["w", "c + 11", "c + 69"], ["c", 15, "84"]], "target_var_name": "t", "target_value": 84, "value_dict": {"c": 15}, "is_reverse": true}}
| 4,736
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = q + 5; j = h + 6; n = o + 10; c = 15; g = c + 1; h = g + 8; i = j + 7; t = n + 12; v = w + 16; w = c + 11; s = i + 3; q = v + 15; m = s + 10. If c = 15, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 10 to t, which gives t = o + 22.\n2. Substitute o = q + 5 to t, which gives t = q + 27.\n3. Substitute q = v + 15 to t, which gives t = v + 42.\n4. Substitute v = w + 16 to t, which gives t = w + 58.\n5. Substitute w = c + 11 to t, which gives t = c + 69.\n6. Substitute c = 15 to t, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 4736,
"question": "Consider a system of variables where each variable is defined as follows: o = q + 5; j = h + 6; n = o + 10; c = 15; g = c + 1; h = g + 8; i = j + 7; t = n + 12; v = w + 16; w = c + 11; s = i + 3; q = v + 15; m = s + 10. If c = 15, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"i": "b + 13", "s": "i + 4", "t": "s + 9", "q": "t + 10", "z": "q + 16", "x": "z + 17", "r": "b + 18", "c": "r + 13", "y": "c + 5", "w": "y + 19", "u": "w + 18", "e": "u + 1", "b": 6}, "premises": {"b": 6}, "target": "x"}, "answer": {"steps": [["z", "q + 16", "q + 33"], ["q", "t + 10", "t + 43"], ["t", "s + 9", "s + 52"], ["s", "i + 4", "i + 56"], ["i", "b + 13", "b + 69"], ["b", 6, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"b": 6}, "is_reverse": true}}
| 4,737
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = y + 19; i = b + 13; b = 6; r = b + 18; c = r + 13; z = q + 16; q = t + 10; e = u + 1; t = s + 9; x = z + 17; u = w + 18; y = c + 5; s = i + 4. Given that b = 6, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 16 to x, which gives x = q + 33.\n2. Substitute q = t + 10 to x, which gives x = t + 43.\n3. Substitute t = s + 9 to x, which gives x = s + 52.\n4. Substitute s = i + 4 to x, which gives x = i + 56.\n5. Substitute i = b + 13 to x, which gives x = b + 69.\n6. Substitute b = 6 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 4737,
"question": "Suppose a collection of variables is related by the following definitions: w = y + 19; i = b + 13; b = 6; r = b + 18; c = r + 13; z = q + 16; q = t + 10; e = u + 1; t = s + 9; x = z + 17; u = w + 18; y = c + 5; s = i + 4. Given that b = 6, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"y": "n + 8", "s": "y + 3", "a": "s + 15", "r": "a + 7", "x": "r + 12", "d": "x + 8", "q": "n + 20", "g": "q + 15", "h": "g + 8", "t": "h + 3", "f": "t + 13", "e": "f + 14", "n": 1}, "premises": {"n": 1}, "target": "d"}, "answer": {"steps": [["x", "r + 12", "r + 20"], ["r", "a + 7", "a + 27"], ["a", "s + 15", "s + 42"], ["s", "y + 3", "y + 45"], ["y", "n + 8", "n + 53"], ["n", 1, "54"]], "target_var_name": "d", "target_value": 54, "value_dict": {"n": 1}, "is_reverse": true}}
| 4,738
| 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 = x + 8; f = t + 13; t = h + 3; x = r + 12; a = s + 15; g = q + 15; s = y + 3; n = 1; y = n + 8; h = g + 8; q = n + 20; r = a + 7; e = f + 14. If n = 1, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 12 to d, which gives d = r + 20.\n2. Substitute r = a + 7 to d, which gives d = a + 27.\n3. Substitute a = s + 15 to d, which gives d = s + 42.\n4. Substitute s = y + 3 to d, which gives d = y + 45.\n5. Substitute y = n + 8 to d, which gives d = n + 53.\n6. Substitute n = 1 to d, which gives d = 54.\n\nThus, the final answer is d = \\boxed{54}.",
"index": 4738,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = x + 8; f = t + 13; t = h + 3; x = r + 12; a = s + 15; g = q + 15; s = y + 3; n = 1; y = n + 8; h = g + 8; q = n + 20; r = a + 7; e = f + 14. If n = 1, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"b": "y + 15", "w": "b + 18", "z": "w + 14", "m": "z + 2", "i": "m + 3", "h": "i + 3", "q": "y + 19", "d": "q + 19", "s": "d + 11", "g": "s + 6", "l": "g + 18", "e": "l + 18", "y": 18}, "premises": {"y": 18}, "target": "h"}, "answer": {"steps": [["i", "m + 3", "m + 6"], ["m", "z + 2", "z + 8"], ["z", "w + 14", "w + 22"], ["w", "b + 18", "b + 40"], ["b", "y + 15", "y + 55"], ["y", 18, "73"]], "target_var_name": "h", "target_value": 73, "value_dict": {"y": 18}, "is_reverse": true}}
| 4,739
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = y + 19; g = s + 6; h = i + 3; i = m + 3; w = b + 18; m = z + 2; y = 18; b = y + 15; d = q + 19; e = l + 18; s = d + 11; l = g + 18; z = w + 14. Given that y = 18, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 3 to h, which gives h = m + 6.\n2. Substitute m = z + 2 to h, which gives h = z + 8.\n3. Substitute z = w + 14 to h, which gives h = w + 22.\n4. Substitute w = b + 18 to h, which gives h = b + 40.\n5. Substitute b = y + 15 to h, which gives h = y + 55.\n6. Substitute y = 18 to h, which gives h = 73.\n\nThus, the final answer is h = \\boxed{73}.",
"index": 4739,
"question": "Suppose a collection of variables is related by the following definitions: q = y + 19; g = s + 6; h = i + 3; i = m + 3; w = b + 18; m = z + 2; y = 18; b = y + 15; d = q + 19; e = l + 18; s = d + 11; l = g + 18; z = w + 14. Given that y = 18, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"e": "p + 11", "n": "e + 16", "d": "n + 10", "v": "d + 17", "g": "v + 10", "s": "g + 4", "y": "p + 10", "k": "y + 18", "r": "k + 13", "j": "r + 12", "i": "j + 10", "b": "i + 13", "p": 1}, "premises": {"p": 1}, "target": "s"}, "answer": {"steps": [["g", "v + 10", "v + 14"], ["v", "d + 17", "d + 31"], ["d", "n + 10", "n + 41"], ["n", "e + 16", "e + 57"], ["e", "p + 11", "p + 68"], ["p", 1, "69"]], "target_var_name": "s", "target_value": 69, "value_dict": {"p": 1}, "is_reverse": true}}
| 4,740
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = p + 10; i = j + 10; g = v + 10; d = n + 10; n = e + 16; b = i + 13; r = k + 13; v = d + 17; p = 1; e = p + 11; k = y + 18; s = g + 4; j = r + 12. Given that p = 1, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 10 to s, which gives s = v + 14.\n2. Substitute v = d + 17 to s, which gives s = d + 31.\n3. Substitute d = n + 10 to s, which gives s = n + 41.\n4. Substitute n = e + 16 to s, which gives s = e + 57.\n5. Substitute e = p + 11 to s, which gives s = p + 68.\n6. Substitute p = 1 to s, which gives s = 69.\n\nThus, the final answer is s = \\boxed{69}.",
"index": 4740,
"question": "Suppose a collection of variables is related by the following definitions: y = p + 10; i = j + 10; g = v + 10; d = n + 10; n = e + 16; b = i + 13; r = k + 13; v = d + 17; p = 1; e = p + 11; k = y + 18; s = g + 4; j = r + 12. Given that p = 1, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"a": "c + 13", "h": "a + 11", "s": "h + 16", "t": "s + 19", "o": "t + 3", "y": "o + 9", "x": "c + 2", "m": "x + 4", "n": "m + 11", "u": "n + 5", "e": "u + 20", "f": "e + 9", "c": 7}, "premises": {"c": 7}, "target": "y"}, "answer": {"steps": [["o", "t + 3", "t + 12"], ["t", "s + 19", "s + 31"], ["s", "h + 16", "h + 47"], ["h", "a + 11", "a + 58"], ["a", "c + 13", "c + 71"], ["c", 7, "78"]], "target_var_name": "y", "target_value": 78, "value_dict": {"c": 7}, "is_reverse": true}}
| 4,741
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = e + 9; c = 7; n = m + 11; h = a + 11; a = c + 13; t = s + 19; e = u + 20; o = t + 3; x = c + 2; y = o + 9; u = n + 5; s = h + 16; m = x + 4. Given that c = 7, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 3 to y, which gives y = t + 12.\n2. Substitute t = s + 19 to y, which gives y = s + 31.\n3. Substitute s = h + 16 to y, which gives y = h + 47.\n4. Substitute h = a + 11 to y, which gives y = a + 58.\n5. Substitute a = c + 13 to y, which gives y = c + 71.\n6. Substitute c = 7 to y, which gives y = 78.\n\nThus, the final answer is y = \\boxed{78}.",
"index": 4741,
"question": "Suppose a collection of variables is related by the following definitions: f = e + 9; c = 7; n = m + 11; h = a + 11; a = c + 13; t = s + 19; e = u + 20; o = t + 3; x = c + 2; y = o + 9; u = n + 5; s = h + 16; m = x + 4. Given that c = 7, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"s": "v + 8", "f": "s + 19", "n": "f + 7", "k": "n + 10", "b": "k + 11", "g": "b + 8", "h": "v + 8", "l": "h + 14", "o": "l + 13", "p": "o + 14", "q": "p + 13", "e": "q + 2", "v": 6}, "premises": {"v": 6}, "target": "g"}, "answer": {"steps": [["b", "k + 11", "k + 19"], ["k", "n + 10", "n + 29"], ["n", "f + 7", "f + 36"], ["f", "s + 19", "s + 55"], ["s", "v + 8", "v + 63"], ["v", 6, "69"]], "target_var_name": "g", "target_value": 69, "value_dict": {"v": 6}, "is_reverse": true}}
| 4,742
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = o + 14; b = k + 11; o = l + 13; n = f + 7; h = v + 8; e = q + 2; k = n + 10; s = v + 8; l = h + 14; v = 6; f = s + 19; g = b + 8; q = p + 13. Given that v = 6, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 11 to g, which gives g = k + 19.\n2. Substitute k = n + 10 to g, which gives g = n + 29.\n3. Substitute n = f + 7 to g, which gives g = f + 36.\n4. Substitute f = s + 19 to g, which gives g = s + 55.\n5. Substitute s = v + 8 to g, which gives g = v + 63.\n6. Substitute v = 6 to g, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 4742,
"question": "Suppose a collection of variables is related by the following definitions: p = o + 14; b = k + 11; o = l + 13; n = f + 7; h = v + 8; e = q + 2; k = n + 10; s = v + 8; l = h + 14; v = 6; f = s + 19; g = b + 8; q = p + 13. Given that v = 6, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"s": "q + 17", "n": "s + 17", "x": "n + 13", "i": "x + 3", "z": "i + 4", "g": "z + 15", "l": "q + 9", "k": "l + 17", "a": "k + 15", "r": "a + 4", "c": "r + 4", "v": "c + 11", "q": 11}, "premises": {"q": 11}, "target": "g"}, "answer": {"steps": [["z", "i + 4", "i + 19"], ["i", "x + 3", "x + 22"], ["x", "n + 13", "n + 35"], ["n", "s + 17", "s + 52"], ["s", "q + 17", "q + 69"], ["q", 11, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"q": 11}, "is_reverse": true}}
| 4,743
| 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 = l + 17; a = k + 15; s = q + 17; i = x + 3; z = i + 4; n = s + 17; v = c + 11; q = 11; x = n + 13; l = q + 9; r = a + 4; g = z + 15; c = r + 4. If q = 11, what is the resulting 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 z = i + 4 to g, which gives g = i + 19.\n2. Substitute i = x + 3 to g, which gives g = x + 22.\n3. Substitute x = n + 13 to g, which gives g = n + 35.\n4. Substitute n = s + 17 to g, which gives g = s + 52.\n5. Substitute s = q + 17 to g, which gives g = q + 69.\n6. Substitute q = 11 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 4743,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 17; a = k + 15; s = q + 17; i = x + 3; z = i + 4; n = s + 17; v = c + 11; q = 11; x = n + 13; l = q + 9; r = a + 4; g = z + 15; c = r + 4. If q = 11, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"o": "j + 8", "h": "o + 19", "d": "h + 8", "g": "d + 7", "s": "g + 10", "r": "s + 20", "e": "j + 2", "z": "e + 17", "q": "z + 16", "y": "q + 2", "w": "y + 16", "u": "w + 17", "j": 15}, "premises": {"j": 15}, "target": "r"}, "answer": {"steps": [["s", "g + 10", "g + 30"], ["g", "d + 7", "d + 37"], ["d", "h + 8", "h + 45"], ["h", "o + 19", "o + 64"], ["o", "j + 8", "j + 72"], ["j", 15, "87"]], "target_var_name": "r", "target_value": 87, "value_dict": {"j": 15}, "is_reverse": true}}
| 4,744
| 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 = w + 17; q = z + 16; r = s + 20; d = h + 8; o = j + 8; w = y + 16; h = o + 19; g = d + 7; j = 15; y = q + 2; s = g + 10; e = j + 2; z = e + 17. If j = 15, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 10 to r, which gives r = g + 30.\n2. Substitute g = d + 7 to r, which gives r = d + 37.\n3. Substitute d = h + 8 to r, which gives r = h + 45.\n4. Substitute h = o + 19 to r, which gives r = o + 64.\n5. Substitute o = j + 8 to r, which gives r = j + 72.\n6. Substitute j = 15 to r, which gives r = 87.\n\nThus, the final answer is r = \\boxed{87}.",
"index": 4744,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = w + 17; q = z + 16; r = s + 20; d = h + 8; o = j + 8; w = y + 16; h = o + 19; g = d + 7; j = 15; y = q + 2; s = g + 10; e = j + 2; z = e + 17. If j = 15, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"r": "s + 4", "j": "r + 1", "h": "j + 19", "a": "h + 14", "d": "a + 3", "l": "d + 14", "i": "s + 5", "g": "i + 17", "y": "g + 12", "c": "y + 7", "e": "c + 13", "v": "e + 14", "s": 11}, "premises": {"s": 11}, "target": "l"}, "answer": {"steps": [["d", "a + 3", "a + 17"], ["a", "h + 14", "h + 31"], ["h", "j + 19", "j + 50"], ["j", "r + 1", "r + 51"], ["r", "s + 4", "s + 55"], ["s", 11, "66"]], "target_var_name": "l", "target_value": 66, "value_dict": {"s": 11}, "is_reverse": true}}
| 4,745
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = d + 14; c = y + 7; e = c + 13; g = i + 17; j = r + 1; v = e + 14; d = a + 3; i = s + 5; r = s + 4; s = 11; h = j + 19; a = h + 14; y = g + 12. If s = 11, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 3 to l, which gives l = a + 17.\n2. Substitute a = h + 14 to l, which gives l = h + 31.\n3. Substitute h = j + 19 to l, which gives l = j + 50.\n4. Substitute j = r + 1 to l, which gives l = r + 51.\n5. Substitute r = s + 4 to l, which gives l = s + 55.\n6. Substitute s = 11 to l, which gives l = 66.\n\nThus, the final answer is l = \\boxed{66}.",
"index": 4745,
"question": "Consider a system of variables where each variable is defined as follows: l = d + 14; c = y + 7; e = c + 13; g = i + 17; j = r + 1; v = e + 14; d = a + 3; i = s + 5; r = s + 4; s = 11; h = j + 19; a = h + 14; y = g + 12. If s = 11, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"f": "d + 19", "l": "f + 13", "x": "l + 7", "p": "x + 14", "z": "p + 8", "s": "z + 3", "j": "d + 14", "c": "j + 10", "w": "c + 17", "n": "w + 1", "o": "n + 20", "a": "o + 13", "d": 11}, "premises": {"d": 11}, "target": "s"}, "answer": {"steps": [["z", "p + 8", "p + 11"], ["p", "x + 14", "x + 25"], ["x", "l + 7", "l + 32"], ["l", "f + 13", "f + 45"], ["f", "d + 19", "d + 64"], ["d", 11, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"d": 11}, "is_reverse": true}}
| 4,746
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = z + 3; a = o + 13; l = f + 13; j = d + 14; z = p + 8; n = w + 1; x = l + 7; d = 11; w = c + 17; f = d + 19; p = x + 14; c = j + 10; o = n + 20. Given that d = 11, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 8 to s, which gives s = p + 11.\n2. Substitute p = x + 14 to s, which gives s = x + 25.\n3. Substitute x = l + 7 to s, which gives s = l + 32.\n4. Substitute l = f + 13 to s, which gives s = f + 45.\n5. Substitute f = d + 19 to s, which gives s = d + 64.\n6. Substitute d = 11 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 4746,
"question": "Suppose a collection of variables is related by the following definitions: s = z + 3; a = o + 13; l = f + 13; j = d + 14; z = p + 8; n = w + 1; x = l + 7; d = 11; w = c + 17; f = d + 19; p = x + 14; c = j + 10; o = n + 20. Given that d = 11, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"s": "u + 5", "x": "s + 17", "w": "x + 15", "t": "w + 17", "b": "t + 11", "h": "b + 19", "v": "u + 2", "c": "v + 15", "d": "c + 16", "q": "d + 8", "k": "q + 3", "p": "k + 15", "u": 13}, "premises": {"u": 13}, "target": "h"}, "answer": {"steps": [["b", "t + 11", "t + 30"], ["t", "w + 17", "w + 47"], ["w", "x + 15", "x + 62"], ["x", "s + 17", "s + 79"], ["s", "u + 5", "u + 84"], ["u", 13, "97"]], "target_var_name": "h", "target_value": 97, "value_dict": {"u": 13}, "is_reverse": true}}
| 4,747
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = x + 15; c = v + 15; u = 13; h = b + 19; d = c + 16; b = t + 11; p = k + 15; v = u + 2; x = s + 17; k = q + 3; s = u + 5; t = w + 17; q = d + 8. If u = 13, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 11 to h, which gives h = t + 30.\n2. Substitute t = w + 17 to h, which gives h = w + 47.\n3. Substitute w = x + 15 to h, which gives h = x + 62.\n4. Substitute x = s + 17 to h, which gives h = s + 79.\n5. Substitute s = u + 5 to h, which gives h = u + 84.\n6. Substitute u = 13 to h, which gives h = 97.\n\nThus, the final answer is h = \\boxed{97}.",
"index": 4747,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = x + 15; c = v + 15; u = 13; h = b + 19; d = c + 16; b = t + 11; p = k + 15; v = u + 2; x = s + 17; k = q + 3; s = u + 5; t = w + 17; q = d + 8. If u = 13, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"a": "h + 8", "q": "a + 4", "j": "q + 5", "o": "j + 6", "x": "o + 14", "v": "x + 3", "k": "h + 16", "r": "k + 6", "p": "r + 16", "n": "p + 2", "y": "n + 16", "d": "y + 1", "h": 11}, "premises": {"h": 11}, "target": "v"}, "answer": {"steps": [["x", "o + 14", "o + 17"], ["o", "j + 6", "j + 23"], ["j", "q + 5", "q + 28"], ["q", "a + 4", "a + 32"], ["a", "h + 8", "h + 40"], ["h", 11, "51"]], "target_var_name": "v", "target_value": 51, "value_dict": {"h": 11}, "is_reverse": true}}
| 4,748
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = 11; o = j + 6; k = h + 16; a = h + 8; v = x + 3; n = p + 2; q = a + 4; p = r + 16; y = n + 16; x = o + 14; d = y + 1; j = q + 5; r = k + 6. If h = 11, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 14 to v, which gives v = o + 17.\n2. Substitute o = j + 6 to v, which gives v = j + 23.\n3. Substitute j = q + 5 to v, which gives v = q + 28.\n4. Substitute q = a + 4 to v, which gives v = a + 32.\n5. Substitute a = h + 8 to v, which gives v = h + 40.\n6. Substitute h = 11 to v, which gives v = 51.\n\nThus, the final answer is v = \\boxed{51}.",
"index": 4748,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 11; o = j + 6; k = h + 16; a = h + 8; v = x + 3; n = p + 2; q = a + 4; p = r + 16; y = n + 16; x = o + 14; d = y + 1; j = q + 5; r = k + 6. If h = 11, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"u": "r + 8", "v": "u + 8", "j": "v + 1", "z": "j + 4", "b": "z + 18", "c": "b + 20", "n": "r + 6", "d": "n + 20", "g": "d + 8", "f": "g + 10", "i": "f + 15", "o": "i + 10", "r": 20}, "premises": {"r": 20}, "target": "c"}, "answer": {"steps": [["b", "z + 18", "z + 38"], ["z", "j + 4", "j + 42"], ["j", "v + 1", "v + 43"], ["v", "u + 8", "u + 51"], ["u", "r + 8", "r + 59"], ["r", 20, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"r": 20}, "is_reverse": true}}
| 4,749
| 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 = 20; i = f + 15; v = u + 8; f = g + 10; z = j + 4; u = r + 8; b = z + 18; d = n + 20; j = v + 1; n = r + 6; c = b + 20; o = i + 10; g = d + 8. If r = 20, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 18 to c, which gives c = z + 38.\n2. Substitute z = j + 4 to c, which gives c = j + 42.\n3. Substitute j = v + 1 to c, which gives c = v + 43.\n4. Substitute v = u + 8 to c, which gives c = u + 51.\n5. Substitute u = r + 8 to c, which gives c = r + 59.\n6. Substitute r = 20 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 4749,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 20; i = f + 15; v = u + 8; f = g + 10; z = j + 4; u = r + 8; b = z + 18; d = n + 20; j = v + 1; n = r + 6; c = b + 20; o = i + 10; g = d + 8. If r = 20, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"q": "a + 13", "m": "q + 18", "s": "m + 5", "v": "s + 10", "y": "v + 10", "u": "y + 10", "g": "a + 10", "w": "g + 9", "j": "w + 12", "p": "j + 13", "t": "p + 15", "d": "t + 8", "a": 18}, "premises": {"a": 18}, "target": "u"}, "answer": {"steps": [["y", "v + 10", "v + 20"], ["v", "s + 10", "s + 30"], ["s", "m + 5", "m + 35"], ["m", "q + 18", "q + 53"], ["q", "a + 13", "a + 66"], ["a", 18, "84"]], "target_var_name": "u", "target_value": 84, "value_dict": {"a": 18}, "is_reverse": true}}
| 4,750
| 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 = v + 10; p = j + 13; m = q + 18; v = s + 10; w = g + 9; a = 18; g = a + 10; t = p + 15; u = y + 10; q = a + 13; s = m + 5; j = w + 12; d = t + 8. If a = 18, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 10 to u, which gives u = v + 20.\n2. Substitute v = s + 10 to u, which gives u = s + 30.\n3. Substitute s = m + 5 to u, which gives u = m + 35.\n4. Substitute m = q + 18 to u, which gives u = q + 53.\n5. Substitute q = a + 13 to u, which gives u = a + 66.\n6. Substitute a = 18 to u, which gives u = 84.\n\nThus, the final answer is u = \\boxed{84}.",
"index": 4750,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = v + 10; p = j + 13; m = q + 18; v = s + 10; w = g + 9; a = 18; g = a + 10; t = p + 15; u = y + 10; q = a + 13; s = m + 5; j = w + 12; d = t + 8. If a = 18, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"z": "q + 6", "u": "z + 16", "o": "u + 7", "r": "o + 1", "s": "r + 13", "f": "s + 13", "b": "q + 9", "p": "b + 3", "n": "p + 15", "g": "n + 18", "v": "g + 16", "m": "v + 11", "q": 4}, "premises": {"q": 4}, "target": "f"}, "answer": {"steps": [["s", "r + 13", "r + 26"], ["r", "o + 1", "o + 27"], ["o", "u + 7", "u + 34"], ["u", "z + 16", "z + 50"], ["z", "q + 6", "q + 56"], ["q", 4, "60"]], "target_var_name": "f", "target_value": 60, "value_dict": {"q": 4}, "is_reverse": true}}
| 4,751
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = q + 6; q = 4; r = o + 1; p = b + 3; g = n + 18; v = g + 16; m = v + 11; u = z + 16; n = p + 15; o = u + 7; b = q + 9; f = s + 13; s = r + 13. If q = 4, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 13 to f, which gives f = r + 26.\n2. Substitute r = o + 1 to f, which gives f = o + 27.\n3. Substitute o = u + 7 to f, which gives f = u + 34.\n4. Substitute u = z + 16 to f, which gives f = z + 50.\n5. Substitute z = q + 6 to f, which gives f = q + 56.\n6. Substitute q = 4 to f, which gives f = 60.\n\nThus, the final answer is f = \\boxed{60}.",
"index": 4751,
"question": "Consider a system of variables where each variable is defined as follows: z = q + 6; q = 4; r = o + 1; p = b + 3; g = n + 18; v = g + 16; m = v + 11; u = z + 16; n = p + 15; o = u + 7; b = q + 9; f = s + 13; s = r + 13. If q = 4, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"v": "r + 13", "h": "v + 13", "i": "h + 2", "g": "i + 7", "a": "g + 6", "s": "a + 17", "e": "r + 4", "f": "e + 7", "z": "f + 12", "m": "z + 16", "k": "m + 16", "l": "k + 3", "r": 12}, "premises": {"r": 12}, "target": "s"}, "answer": {"steps": [["a", "g + 6", "g + 23"], ["g", "i + 7", "i + 30"], ["i", "h + 2", "h + 32"], ["h", "v + 13", "v + 45"], ["v", "r + 13", "r + 58"], ["r", 12, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"r": 12}, "is_reverse": true}}
| 4,752
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = r + 13; g = i + 7; s = a + 17; l = k + 3; a = g + 6; z = f + 12; h = v + 13; r = 12; i = h + 2; k = m + 16; m = z + 16; f = e + 7; e = r + 4. If r = 12, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 6 to s, which gives s = g + 23.\n2. Substitute g = i + 7 to s, which gives s = i + 30.\n3. Substitute i = h + 2 to s, which gives s = h + 32.\n4. Substitute h = v + 13 to s, which gives s = v + 45.\n5. Substitute v = r + 13 to s, which gives s = r + 58.\n6. Substitute r = 12 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 4752,
"question": "Consider a system of variables where each variable is defined as follows: v = r + 13; g = i + 7; s = a + 17; l = k + 3; a = g + 6; z = f + 12; h = v + 13; r = 12; i = h + 2; k = m + 16; m = z + 16; f = e + 7; e = r + 4. If r = 12, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"w": "f + 14", "u": "w + 1", "j": "u + 17", "m": "j + 15", "c": "m + 19", "h": "c + 18", "x": "f + 20", "v": "x + 17", "q": "v + 5", "g": "q + 13", "n": "g + 12", "d": "n + 18", "f": 4}, "premises": {"f": 4}, "target": "h"}, "answer": {"steps": [["c", "m + 19", "m + 37"], ["m", "j + 15", "j + 52"], ["j", "u + 17", "u + 69"], ["u", "w + 1", "w + 70"], ["w", "f + 14", "f + 84"], ["f", 4, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"f": 4}, "is_reverse": true}}
| 4,753
| 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 = f + 20; q = v + 5; f = 4; g = q + 13; j = u + 17; w = f + 14; c = m + 19; u = w + 1; d = n + 18; m = j + 15; v = x + 17; n = g + 12; h = c + 18. If f = 4, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 19 to h, which gives h = m + 37.\n2. Substitute m = j + 15 to h, which gives h = j + 52.\n3. Substitute j = u + 17 to h, which gives h = u + 69.\n4. Substitute u = w + 1 to h, which gives h = w + 70.\n5. Substitute w = f + 14 to h, which gives h = f + 84.\n6. Substitute f = 4 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 4753,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = f + 20; q = v + 5; f = 4; g = q + 13; j = u + 17; w = f + 14; c = m + 19; u = w + 1; d = n + 18; m = j + 15; v = x + 17; n = g + 12; h = c + 18. If f = 4, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"n": "c + 10", "t": "n + 8", "y": "t + 12", "v": "y + 14", "q": "v + 11", "a": "q + 18", "p": "c + 19", "s": "p + 4", "g": "s + 8", "r": "g + 4", "z": "r + 3", "o": "z + 2", "c": 20}, "premises": {"c": 20}, "target": "a"}, "answer": {"steps": [["q", "v + 11", "v + 29"], ["v", "y + 14", "y + 43"], ["y", "t + 12", "t + 55"], ["t", "n + 8", "n + 63"], ["n", "c + 10", "c + 73"], ["c", 20, "93"]], "target_var_name": "a", "target_value": 93, "value_dict": {"c": 20}, "is_reverse": true}}
| 4,754
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = c + 10; o = z + 2; v = y + 14; q = v + 11; t = n + 8; s = p + 4; r = g + 4; p = c + 19; a = q + 18; g = s + 8; z = r + 3; y = t + 12; c = 20. If c = 20, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 11 to a, which gives a = v + 29.\n2. Substitute v = y + 14 to a, which gives a = y + 43.\n3. Substitute y = t + 12 to a, which gives a = t + 55.\n4. Substitute t = n + 8 to a, which gives a = n + 63.\n5. Substitute n = c + 10 to a, which gives a = c + 73.\n6. Substitute c = 20 to a, which gives a = 93.\n\nThus, the final answer is a = \\boxed{93}.",
"index": 4754,
"question": "Consider a system of variables where each variable is defined as follows: n = c + 10; o = z + 2; v = y + 14; q = v + 11; t = n + 8; s = p + 4; r = g + 4; p = c + 19; a = q + 18; g = s + 8; z = r + 3; y = t + 12; c = 20. If c = 20, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"g": "w + 4", "j": "g + 15", "b": "j + 18", "a": "b + 7", "t": "a + 8", "i": "t + 4", "u": "w + 1", "r": "u + 12", "s": "r + 10", "l": "s + 11", "k": "l + 1", "d": "k + 14", "w": 1}, "premises": {"w": 1}, "target": "i"}, "answer": {"steps": [["t", "a + 8", "a + 12"], ["a", "b + 7", "b + 19"], ["b", "j + 18", "j + 37"], ["j", "g + 15", "g + 52"], ["g", "w + 4", "w + 56"], ["w", 1, "57"]], "target_var_name": "i", "target_value": 57, "value_dict": {"w": 1}, "is_reverse": true}}
| 4,755
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = r + 10; i = t + 4; g = w + 4; k = l + 1; b = j + 18; w = 1; u = w + 1; d = k + 14; r = u + 12; a = b + 7; l = s + 11; j = g + 15; t = a + 8. Given that w = 1, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 8 to i, which gives i = a + 12.\n2. Substitute a = b + 7 to i, which gives i = b + 19.\n3. Substitute b = j + 18 to i, which gives i = j + 37.\n4. Substitute j = g + 15 to i, which gives i = g + 52.\n5. Substitute g = w + 4 to i, which gives i = w + 56.\n6. Substitute w = 1 to i, which gives i = 57.\n\nThus, the final answer is i = \\boxed{57}.",
"index": 4755,
"question": "Suppose a collection of variables is related by the following definitions: s = r + 10; i = t + 4; g = w + 4; k = l + 1; b = j + 18; w = 1; u = w + 1; d = k + 14; r = u + 12; a = b + 7; l = s + 11; j = g + 15; t = a + 8. Given that w = 1, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"w": "i + 19", "g": "w + 14", "m": "g + 10", "t": "m + 9", "b": "t + 12", "c": "b + 13", "a": "i + 12", "z": "a + 15", "l": "z + 20", "v": "l + 12", "n": "v + 2", "q": "n + 4", "i": 19}, "premises": {"i": 19}, "target": "c"}, "answer": {"steps": [["b", "t + 12", "t + 25"], ["t", "m + 9", "m + 34"], ["m", "g + 10", "g + 44"], ["g", "w + 14", "w + 58"], ["w", "i + 19", "i + 77"], ["i", 19, "96"]], "target_var_name": "c", "target_value": 96, "value_dict": {"i": 19}, "is_reverse": true}}
| 4,756
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = 19; z = a + 15; l = z + 20; v = l + 12; m = g + 10; a = i + 12; c = b + 13; w = i + 19; g = w + 14; q = n + 4; n = v + 2; b = t + 12; t = m + 9. If i = 19, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 12 to c, which gives c = t + 25.\n2. Substitute t = m + 9 to c, which gives c = m + 34.\n3. Substitute m = g + 10 to c, which gives c = g + 44.\n4. Substitute g = w + 14 to c, which gives c = w + 58.\n5. Substitute w = i + 19 to c, which gives c = i + 77.\n6. Substitute i = 19 to c, which gives c = 96.\n\nThus, the final answer is c = \\boxed{96}.",
"index": 4756,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = 19; z = a + 15; l = z + 20; v = l + 12; m = g + 10; a = i + 12; c = b + 13; w = i + 19; g = w + 14; q = n + 4; n = v + 2; b = t + 12; t = m + 9. If i = 19, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"o": "e + 14", "y": "o + 5", "l": "y + 8", "x": "l + 20", "h": "x + 13", "j": "h + 5", "q": "e + 1", "g": "q + 1", "s": "g + 20", "v": "s + 5", "z": "v + 12", "b": "z + 5", "e": 20}, "premises": {"e": 20}, "target": "j"}, "answer": {"steps": [["h", "x + 13", "x + 18"], ["x", "l + 20", "l + 38"], ["l", "y + 8", "y + 46"], ["y", "o + 5", "o + 51"], ["o", "e + 14", "e + 65"], ["e", 20, "85"]], "target_var_name": "j", "target_value": 85, "value_dict": {"e": 20}, "is_reverse": true}}
| 4,757
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = 20; b = z + 5; l = y + 8; x = l + 20; o = e + 14; z = v + 12; s = g + 20; y = o + 5; q = e + 1; g = q + 1; j = h + 5; v = s + 5; h = x + 13. Given that e = 20, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 13 to j, which gives j = x + 18.\n2. Substitute x = l + 20 to j, which gives j = l + 38.\n3. Substitute l = y + 8 to j, which gives j = y + 46.\n4. Substitute y = o + 5 to j, which gives j = o + 51.\n5. Substitute o = e + 14 to j, which gives j = e + 65.\n6. Substitute e = 20 to j, which gives j = 85.\n\nThus, the final answer is j = \\boxed{85}.",
"index": 4757,
"question": "Suppose a collection of variables is related by the following definitions: e = 20; b = z + 5; l = y + 8; x = l + 20; o = e + 14; z = v + 12; s = g + 20; y = o + 5; q = e + 1; g = q + 1; j = h + 5; v = s + 5; h = x + 13. Given that e = 20, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"i": "n + 19", "s": "i + 16", "h": "s + 4", "z": "h + 14", "g": "z + 15", "v": "g + 5", "k": "n + 1", "b": "k + 5", "e": "b + 11", "m": "e + 14", "a": "m + 1", "o": "a + 9", "n": 5}, "premises": {"n": 5}, "target": "v"}, "answer": {"steps": [["g", "z + 15", "z + 20"], ["z", "h + 14", "h + 34"], ["h", "s + 4", "s + 38"], ["s", "i + 16", "i + 54"], ["i", "n + 19", "n + 73"], ["n", 5, "78"]], "target_var_name": "v", "target_value": 78, "value_dict": {"n": 5}, "is_reverse": true}}
| 4,758
| 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 = e + 14; h = s + 4; n = 5; i = n + 19; e = b + 11; v = g + 5; b = k + 5; k = n + 1; s = i + 16; a = m + 1; o = a + 9; g = z + 15; z = h + 14. If n = 5, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 15 to v, which gives v = z + 20.\n2. Substitute z = h + 14 to v, which gives v = h + 34.\n3. Substitute h = s + 4 to v, which gives v = s + 38.\n4. Substitute s = i + 16 to v, which gives v = i + 54.\n5. Substitute i = n + 19 to v, which gives v = n + 73.\n6. Substitute n = 5 to v, which gives v = 78.\n\nThus, the final answer is v = \\boxed{78}.",
"index": 4758,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 14; h = s + 4; n = 5; i = n + 19; e = b + 11; v = g + 5; b = k + 5; k = n + 1; s = i + 16; a = m + 1; o = a + 9; g = z + 15; z = h + 14. If n = 5, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"k": "s + 19", "l": "k + 1", "m": "l + 6", "x": "m + 2", "b": "x + 4", "v": "b + 12", "q": "s + 7", "w": "q + 5", "a": "w + 13", "d": "a + 17", "i": "d + 10", "j": "i + 7", "s": 7}, "premises": {"s": 7}, "target": "v"}, "answer": {"steps": [["b", "x + 4", "x + 16"], ["x", "m + 2", "m + 18"], ["m", "l + 6", "l + 24"], ["l", "k + 1", "k + 25"], ["k", "s + 19", "s + 44"], ["s", 7, "51"]], "target_var_name": "v", "target_value": 51, "value_dict": {"s": 7}, "is_reverse": true}}
| 4,759
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 5; m = l + 6; l = k + 1; i = d + 10; j = i + 7; a = w + 13; d = a + 17; s = 7; q = s + 7; k = s + 19; x = m + 2; v = b + 12; b = x + 4. If s = 7, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 4 to v, which gives v = x + 16.\n2. Substitute x = m + 2 to v, which gives v = m + 18.\n3. Substitute m = l + 6 to v, which gives v = l + 24.\n4. Substitute l = k + 1 to v, which gives v = k + 25.\n5. Substitute k = s + 19 to v, which gives v = s + 44.\n6. Substitute s = 7 to v, which gives v = 51.\n\nThus, the final answer is v = \\boxed{51}.",
"index": 4759,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 5; m = l + 6; l = k + 1; i = d + 10; j = i + 7; a = w + 13; d = a + 17; s = 7; q = s + 7; k = s + 19; x = m + 2; v = b + 12; b = x + 4. If s = 7, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"v": "f + 15", "j": "v + 7", "o": "j + 1", "x": "o + 1", "z": "x + 14", "q": "z + 1", "r": "f + 1", "p": "r + 5", "g": "p + 17", "e": "g + 16", "h": "e + 12", "l": "h + 18", "f": 6}, "premises": {"f": 6}, "target": "q"}, "answer": {"steps": [["z", "x + 14", "x + 15"], ["x", "o + 1", "o + 16"], ["o", "j + 1", "j + 17"], ["j", "v + 7", "v + 24"], ["v", "f + 15", "f + 39"], ["f", 6, "45"]], "target_var_name": "q", "target_value": 45, "value_dict": {"f": 6}, "is_reverse": true}}
| 4,760
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = f + 15; j = v + 7; h = e + 12; e = g + 16; q = z + 1; f = 6; p = r + 5; l = h + 18; x = o + 1; r = f + 1; g = p + 17; z = x + 14; o = j + 1. If f = 6, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 14 to q, which gives q = x + 15.\n2. Substitute x = o + 1 to q, which gives q = o + 16.\n3. Substitute o = j + 1 to q, which gives q = j + 17.\n4. Substitute j = v + 7 to q, which gives q = v + 24.\n5. Substitute v = f + 15 to q, which gives q = f + 39.\n6. Substitute f = 6 to q, which gives q = 45.\n\nThus, the final answer is q = \\boxed{45}.",
"index": 4760,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = f + 15; j = v + 7; h = e + 12; e = g + 16; q = z + 1; f = 6; p = r + 5; l = h + 18; x = o + 1; r = f + 1; g = p + 17; z = x + 14; o = j + 1. If f = 6, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"n": "z + 3", "g": "n + 4", "h": "g + 10", "s": "h + 10", "a": "s + 2", "o": "a + 19", "p": "z + 11", "y": "p + 4", "x": "y + 13", "b": "x + 11", "k": "b + 8", "f": "k + 13", "z": 19}, "premises": {"z": 19}, "target": "o"}, "answer": {"steps": [["a", "s + 2", "s + 21"], ["s", "h + 10", "h + 31"], ["h", "g + 10", "g + 41"], ["g", "n + 4", "n + 45"], ["n", "z + 3", "z + 48"], ["z", 19, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"z": 19}, "is_reverse": true}}
| 4,761
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = b + 8; g = n + 4; s = h + 10; h = g + 10; a = s + 2; n = z + 3; z = 19; o = a + 19; f = k + 13; p = z + 11; b = x + 11; x = y + 13; y = p + 4. Given that z = 19, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 2 to o, which gives o = s + 21.\n2. Substitute s = h + 10 to o, which gives o = h + 31.\n3. Substitute h = g + 10 to o, which gives o = g + 41.\n4. Substitute g = n + 4 to o, which gives o = n + 45.\n5. Substitute n = z + 3 to o, which gives o = z + 48.\n6. Substitute z = 19 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 4761,
"question": "Suppose a collection of variables is related by the following definitions: k = b + 8; g = n + 4; s = h + 10; h = g + 10; a = s + 2; n = z + 3; z = 19; o = a + 19; f = k + 13; p = z + 11; b = x + 11; x = y + 13; y = p + 4. Given that z = 19, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"o": "x + 15", "n": "o + 6", "q": "n + 2", "k": "q + 2", "r": "k + 12", "b": "r + 7", "s": "x + 4", "g": "s + 20", "h": "g + 3", "y": "h + 11", "e": "y + 18", "l": "e + 1", "x": 7}, "premises": {"x": 7}, "target": "b"}, "answer": {"steps": [["r", "k + 12", "k + 19"], ["k", "q + 2", "q + 21"], ["q", "n + 2", "n + 23"], ["n", "o + 6", "o + 29"], ["o", "x + 15", "x + 44"], ["x", 7, "51"]], "target_var_name": "b", "target_value": 51, "value_dict": {"x": 7}, "is_reverse": true}}
| 4,762
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = q + 2; e = y + 18; b = r + 7; y = h + 11; r = k + 12; l = e + 1; n = o + 6; g = s + 20; h = g + 3; q = n + 2; o = x + 15; x = 7; s = x + 4. Given that x = 7, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 12 to b, which gives b = k + 19.\n2. Substitute k = q + 2 to b, which gives b = q + 21.\n3. Substitute q = n + 2 to b, which gives b = n + 23.\n4. Substitute n = o + 6 to b, which gives b = o + 29.\n5. Substitute o = x + 15 to b, which gives b = x + 44.\n6. Substitute x = 7 to b, which gives b = 51.\n\nThus, the final answer is b = \\boxed{51}.",
"index": 4762,
"question": "Suppose a collection of variables is related by the following definitions: k = q + 2; e = y + 18; b = r + 7; y = h + 11; r = k + 12; l = e + 1; n = o + 6; g = s + 20; h = g + 3; q = n + 2; o = x + 15; x = 7; s = x + 4. Given that x = 7, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"w": "j + 16", "y": "w + 5", "b": "y + 7", "m": "b + 9", "r": "m + 6", "e": "r + 8", "g": "j + 4", "a": "g + 8", "o": "a + 7", "q": "o + 5", "z": "q + 12", "h": "z + 15", "j": 15}, "premises": {"j": 15}, "target": "e"}, "answer": {"steps": [["r", "m + 6", "m + 14"], ["m", "b + 9", "b + 23"], ["b", "y + 7", "y + 30"], ["y", "w + 5", "w + 35"], ["w", "j + 16", "j + 51"], ["j", 15, "66"]], "target_var_name": "e", "target_value": 66, "value_dict": {"j": 15}, "is_reverse": true}}
| 4,763
| 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 = j + 4; q = o + 5; o = a + 7; r = m + 6; j = 15; z = q + 12; w = j + 16; h = z + 15; y = w + 5; m = b + 9; a = g + 8; e = r + 8; b = y + 7. If j = 15, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = m + 6 to e, which gives e = m + 14.\n2. Substitute m = b + 9 to e, which gives e = b + 23.\n3. Substitute b = y + 7 to e, which gives e = y + 30.\n4. Substitute y = w + 5 to e, which gives e = w + 35.\n5. Substitute w = j + 16 to e, which gives e = j + 51.\n6. Substitute j = 15 to e, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 4763,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 4; q = o + 5; o = a + 7; r = m + 6; j = 15; z = q + 12; w = j + 16; h = z + 15; y = w + 5; m = b + 9; a = g + 8; e = r + 8; b = y + 7. If j = 15, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"t": "s + 18", "c": "t + 13", "k": "c + 19", "l": "k + 17", "e": "l + 14", "d": "e + 9", "n": "s + 14", "h": "n + 19", "j": "h + 6", "p": "j + 19", "a": "p + 13", "g": "a + 1", "s": 6}, "premises": {"s": 6}, "target": "d"}, "answer": {"steps": [["e", "l + 14", "l + 23"], ["l", "k + 17", "k + 40"], ["k", "c + 19", "c + 59"], ["c", "t + 13", "t + 72"], ["t", "s + 18", "s + 90"], ["s", 6, "96"]], "target_var_name": "d", "target_value": 96, "value_dict": {"s": 6}, "is_reverse": true}}
| 4,764
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = h + 6; e = l + 14; g = a + 1; t = s + 18; d = e + 9; s = 6; n = s + 14; k = c + 19; a = p + 13; c = t + 13; p = j + 19; h = n + 19; l = k + 17. If s = 6, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 14 to d, which gives d = l + 23.\n2. Substitute l = k + 17 to d, which gives d = k + 40.\n3. Substitute k = c + 19 to d, which gives d = c + 59.\n4. Substitute c = t + 13 to d, which gives d = t + 72.\n5. Substitute t = s + 18 to d, which gives d = s + 90.\n6. Substitute s = 6 to d, which gives d = 96.\n\nThus, the final answer is d = \\boxed{96}.",
"index": 4764,
"question": "Consider a system of variables where each variable is defined as follows: j = h + 6; e = l + 14; g = a + 1; t = s + 18; d = e + 9; s = 6; n = s + 14; k = c + 19; a = p + 13; c = t + 13; p = j + 19; h = n + 19; l = k + 17. If s = 6, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"i": "x + 20", "s": "i + 17", "d": "s + 4", "u": "d + 17", "q": "u + 10", "w": "q + 19", "n": "x + 19", "z": "n + 4", "j": "z + 3", "v": "j + 20", "r": "v + 15", "o": "r + 13", "x": 1}, "premises": {"x": 1}, "target": "w"}, "answer": {"steps": [["q", "u + 10", "u + 29"], ["u", "d + 17", "d + 46"], ["d", "s + 4", "s + 50"], ["s", "i + 17", "i + 67"], ["i", "x + 20", "x + 87"], ["x", 1, "88"]], "target_var_name": "w", "target_value": 88, "value_dict": {"x": 1}, "is_reverse": true}}
| 4,765
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = i + 17; j = z + 3; x = 1; z = n + 4; q = u + 10; u = d + 17; w = q + 19; n = x + 19; o = r + 13; d = s + 4; v = j + 20; i = x + 20; r = v + 15. Given that x = 1, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 10 to w, which gives w = u + 29.\n2. Substitute u = d + 17 to w, which gives w = d + 46.\n3. Substitute d = s + 4 to w, which gives w = s + 50.\n4. Substitute s = i + 17 to w, which gives w = i + 67.\n5. Substitute i = x + 20 to w, which gives w = x + 87.\n6. Substitute x = 1 to w, which gives w = 88.\n\nThus, the final answer is w = \\boxed{88}.",
"index": 4765,
"question": "Suppose a collection of variables is related by the following definitions: s = i + 17; j = z + 3; x = 1; z = n + 4; q = u + 10; u = d + 17; w = q + 19; n = x + 19; o = r + 13; d = s + 4; v = j + 20; i = x + 20; r = v + 15. Given that x = 1, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"u": "i + 3", "y": "u + 1", "s": "y + 12", "k": "s + 7", "e": "k + 19", "o": "e + 17", "g": "i + 18", "q": "g + 10", "r": "q + 12", "c": "r + 13", "n": "c + 6", "x": "n + 12", "i": 14}, "premises": {"i": 14}, "target": "o"}, "answer": {"steps": [["e", "k + 19", "k + 36"], ["k", "s + 7", "s + 43"], ["s", "y + 12", "y + 55"], ["y", "u + 1", "u + 56"], ["u", "i + 3", "i + 59"], ["i", 14, "73"]], "target_var_name": "o", "target_value": 73, "value_dict": {"i": 14}, "is_reverse": true}}
| 4,766
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = s + 7; u = i + 3; q = g + 10; s = y + 12; y = u + 1; n = c + 6; c = r + 13; x = n + 12; g = i + 18; o = e + 17; e = k + 19; i = 14; r = q + 12. Given that i = 14, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 19 to o, which gives o = k + 36.\n2. Substitute k = s + 7 to o, which gives o = s + 43.\n3. Substitute s = y + 12 to o, which gives o = y + 55.\n4. Substitute y = u + 1 to o, which gives o = u + 56.\n5. Substitute u = i + 3 to o, which gives o = i + 59.\n6. Substitute i = 14 to o, which gives o = 73.\n\nThus, the final answer is o = \\boxed{73}.",
"index": 4766,
"question": "Suppose a collection of variables is related by the following definitions: k = s + 7; u = i + 3; q = g + 10; s = y + 12; y = u + 1; n = c + 6; c = r + 13; x = n + 12; g = i + 18; o = e + 17; e = k + 19; i = 14; r = q + 12. Given that i = 14, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"l": "o + 11", "d": "l + 1", "k": "d + 13", "p": "k + 1", "h": "p + 5", "u": "h + 5", "z": "o + 4", "q": "z + 2", "i": "q + 1", "r": "i + 4", "t": "r + 19", "m": "t + 13", "o": 6}, "premises": {"o": 6}, "target": "u"}, "answer": {"steps": [["h", "p + 5", "p + 10"], ["p", "k + 1", "k + 11"], ["k", "d + 13", "d + 24"], ["d", "l + 1", "l + 25"], ["l", "o + 11", "o + 36"], ["o", 6, "42"]], "target_var_name": "u", "target_value": 42, "value_dict": {"o": 6}, "is_reverse": true}}
| 4,767
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = h + 5; z = o + 4; i = q + 1; k = d + 13; m = t + 13; o = 6; q = z + 2; l = o + 11; t = r + 19; h = p + 5; d = l + 1; p = k + 1; r = i + 4. If o = 6, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 5 to u, which gives u = p + 10.\n2. Substitute p = k + 1 to u, which gives u = k + 11.\n3. Substitute k = d + 13 to u, which gives u = d + 24.\n4. Substitute d = l + 1 to u, which gives u = l + 25.\n5. Substitute l = o + 11 to u, which gives u = o + 36.\n6. Substitute o = 6 to u, which gives u = 42.\n\nThus, the final answer is u = \\boxed{42}.",
"index": 4767,
"question": "Consider a system of variables where each variable is defined as follows: u = h + 5; z = o + 4; i = q + 1; k = d + 13; m = t + 13; o = 6; q = z + 2; l = o + 11; t = r + 19; h = p + 5; d = l + 1; p = k + 1; r = i + 4. If o = 6, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"n": "j + 3", "c": "n + 1", "v": "c + 14", "u": "v + 11", "t": "u + 16", "a": "t + 9", "b": "j + 8", "z": "b + 17", "h": "z + 9", "y": "h + 4", "x": "y + 5", "k": "x + 16", "j": 8}, "premises": {"j": 8}, "target": "a"}, "answer": {"steps": [["t", "u + 16", "u + 25"], ["u", "v + 11", "v + 36"], ["v", "c + 14", "c + 50"], ["c", "n + 1", "n + 51"], ["n", "j + 3", "j + 54"], ["j", 8, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"j": 8}, "is_reverse": true}}
| 4,768
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = 8; c = n + 1; b = j + 8; x = y + 5; t = u + 16; n = j + 3; y = h + 4; h = z + 9; u = v + 11; a = t + 9; k = x + 16; z = b + 17; v = c + 14. If j = 8, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 16 to a, which gives a = u + 25.\n2. Substitute u = v + 11 to a, which gives a = v + 36.\n3. Substitute v = c + 14 to a, which gives a = c + 50.\n4. Substitute c = n + 1 to a, which gives a = n + 51.\n5. Substitute n = j + 3 to a, which gives a = j + 54.\n6. Substitute j = 8 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 4768,
"question": "Consider a system of variables where each variable is defined as follows: j = 8; c = n + 1; b = j + 8; x = y + 5; t = u + 16; n = j + 3; y = h + 4; h = z + 9; u = v + 11; a = t + 9; k = x + 16; z = b + 17; v = c + 14. If j = 8, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"p": "j + 3", "x": "p + 14", "w": "x + 19", "t": "w + 16", "o": "t + 4", "z": "o + 3", "y": "j + 10", "n": "y + 19", "q": "n + 7", "e": "q + 13", "s": "e + 8", "r": "s + 10", "j": 19}, "premises": {"j": 19}, "target": "z"}, "answer": {"steps": [["o", "t + 4", "t + 7"], ["t", "w + 16", "w + 23"], ["w", "x + 19", "x + 42"], ["x", "p + 14", "p + 56"], ["p", "j + 3", "j + 59"], ["j", 19, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"j": 19}, "is_reverse": true}}
| 4,769
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 7; e = q + 13; z = o + 3; p = j + 3; t = w + 16; r = s + 10; o = t + 4; s = e + 8; x = p + 14; n = y + 19; j = 19; y = j + 10; w = x + 19. If j = 19, what is the resulting 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 o = t + 4 to z, which gives z = t + 7.\n2. Substitute t = w + 16 to z, which gives z = w + 23.\n3. Substitute w = x + 19 to z, which gives z = x + 42.\n4. Substitute x = p + 14 to z, which gives z = p + 56.\n5. Substitute p = j + 3 to z, which gives z = j + 59.\n6. Substitute j = 19 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 4769,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 7; e = q + 13; z = o + 3; p = j + 3; t = w + 16; r = s + 10; o = t + 4; s = e + 8; x = p + 14; n = y + 19; j = 19; y = j + 10; w = x + 19. If j = 19, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"t": "e + 14", "q": "t + 4", "u": "q + 16", "j": "u + 4", "p": "j + 3", "y": "p + 4", "s": "e + 20", "h": "s + 15", "k": "h + 11", "b": "k + 18", "m": "b + 10", "v": "m + 20", "e": 17}, "premises": {"e": 17}, "target": "y"}, "answer": {"steps": [["p", "j + 3", "j + 7"], ["j", "u + 4", "u + 11"], ["u", "q + 16", "q + 27"], ["q", "t + 4", "t + 31"], ["t", "e + 14", "e + 45"], ["e", 17, "62"]], "target_var_name": "y", "target_value": 62, "value_dict": {"e": 17}, "is_reverse": true}}
| 4,770
| 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 = p + 4; b = k + 18; q = t + 4; j = u + 4; m = b + 10; s = e + 20; k = h + 11; v = m + 20; t = e + 14; p = j + 3; e = 17; u = q + 16; h = s + 15. If e = 17, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 3 to y, which gives y = j + 7.\n2. Substitute j = u + 4 to y, which gives y = u + 11.\n3. Substitute u = q + 16 to y, which gives y = q + 27.\n4. Substitute q = t + 4 to y, which gives y = t + 31.\n5. Substitute t = e + 14 to y, which gives y = e + 45.\n6. Substitute e = 17 to y, which gives y = 62.\n\nThus, the final answer is y = \\boxed{62}.",
"index": 4770,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = p + 4; b = k + 18; q = t + 4; j = u + 4; m = b + 10; s = e + 20; k = h + 11; v = m + 20; t = e + 14; p = j + 3; e = 17; u = q + 16; h = s + 15. If e = 17, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"t": "w + 16", "p": "t + 11", "y": "p + 2", "n": "y + 12", "m": "n + 14", "v": "m + 9", "g": "w + 15", "j": "g + 3", "e": "j + 2", "i": "e + 8", "r": "i + 3", "d": "r + 11", "w": 6}, "premises": {"w": 6}, "target": "v"}, "answer": {"steps": [["m", "n + 14", "n + 23"], ["n", "y + 12", "y + 35"], ["y", "p + 2", "p + 37"], ["p", "t + 11", "t + 48"], ["t", "w + 16", "w + 64"], ["w", 6, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"w": 6}, "is_reverse": true}}
| 4,771
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = y + 12; p = t + 11; m = n + 14; w = 6; i = e + 8; t = w + 16; d = r + 11; y = p + 2; v = m + 9; e = j + 2; g = w + 15; j = g + 3; r = i + 3. If w = 6, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 14 to v, which gives v = n + 23.\n2. Substitute n = y + 12 to v, which gives v = y + 35.\n3. Substitute y = p + 2 to v, which gives v = p + 37.\n4. Substitute p = t + 11 to v, which gives v = t + 48.\n5. Substitute t = w + 16 to v, which gives v = w + 64.\n6. Substitute w = 6 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 4771,
"question": "Consider a system of variables where each variable is defined as follows: n = y + 12; p = t + 11; m = n + 14; w = 6; i = e + 8; t = w + 16; d = r + 11; y = p + 2; v = m + 9; e = j + 2; g = w + 15; j = g + 3; r = i + 3. If w = 6, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"e": "h + 8", "j": "e + 5", "z": "j + 14", "n": "z + 9", "m": "n + 13", "c": "m + 4", "t": "h + 20", "q": "t + 5", "p": "q + 1", "d": "p + 16", "o": "d + 11", "u": "o + 18", "h": 18}, "premises": {"h": 18}, "target": "c"}, "answer": {"steps": [["m", "n + 13", "n + 17"], ["n", "z + 9", "z + 26"], ["z", "j + 14", "j + 40"], ["j", "e + 5", "e + 45"], ["e", "h + 8", "h + 53"], ["h", 18, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"h": 18}, "is_reverse": true}}
| 4,772
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = h + 8; o = d + 11; z = j + 14; j = e + 5; d = p + 16; t = h + 20; c = m + 4; u = o + 18; h = 18; p = q + 1; q = t + 5; n = z + 9; m = n + 13. Given that h = 18, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 13 to c, which gives c = n + 17.\n2. Substitute n = z + 9 to c, which gives c = z + 26.\n3. Substitute z = j + 14 to c, which gives c = j + 40.\n4. Substitute j = e + 5 to c, which gives c = e + 45.\n5. Substitute e = h + 8 to c, which gives c = h + 53.\n6. Substitute h = 18 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 4772,
"question": "Suppose a collection of variables is related by the following definitions: e = h + 8; o = d + 11; z = j + 14; j = e + 5; d = p + 16; t = h + 20; c = m + 4; u = o + 18; h = 18; p = q + 1; q = t + 5; n = z + 9; m = n + 13. Given that h = 18, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"l": "a + 4", "w": "l + 3", "u": "w + 11", "q": "u + 1", "c": "q + 7", "d": "c + 14", "e": "a + 10", "p": "e + 9", "n": "p + 13", "b": "n + 16", "g": "b + 14", "i": "g + 19", "a": 17}, "premises": {"a": 17}, "target": "d"}, "answer": {"steps": [["c", "q + 7", "q + 21"], ["q", "u + 1", "u + 22"], ["u", "w + 11", "w + 33"], ["w", "l + 3", "l + 36"], ["l", "a + 4", "a + 40"], ["a", 17, "57"]], "target_var_name": "d", "target_value": 57, "value_dict": {"a": 17}, "is_reverse": true}}
| 4,773
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = g + 19; g = b + 14; a = 17; q = u + 1; l = a + 4; c = q + 7; u = w + 11; p = e + 9; n = p + 13; d = c + 14; b = n + 16; w = l + 3; e = a + 10. If a = 17, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 7 to d, which gives d = q + 21.\n2. Substitute q = u + 1 to d, which gives d = u + 22.\n3. Substitute u = w + 11 to d, which gives d = w + 33.\n4. Substitute w = l + 3 to d, which gives d = l + 36.\n5. Substitute l = a + 4 to d, which gives d = a + 40.\n6. Substitute a = 17 to d, which gives d = 57.\n\nThus, the final answer is d = \\boxed{57}.",
"index": 4773,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 19; g = b + 14; a = 17; q = u + 1; l = a + 4; c = q + 7; u = w + 11; p = e + 9; n = p + 13; d = c + 14; b = n + 16; w = l + 3; e = a + 10. If a = 17, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"i": "u + 12", "b": "i + 2", "t": "b + 15", "y": "t + 19", "h": "y + 19", "c": "h + 17", "r": "u + 3", "m": "r + 14", "z": "m + 19", "l": "z + 11", "e": "l + 10", "n": "e + 10", "u": 18}, "premises": {"u": 18}, "target": "c"}, "answer": {"steps": [["h", "y + 19", "y + 36"], ["y", "t + 19", "t + 55"], ["t", "b + 15", "b + 70"], ["b", "i + 2", "i + 72"], ["i", "u + 12", "u + 84"], ["u", 18, "102"]], "target_var_name": "c", "target_value": 102, "value_dict": {"u": 18}, "is_reverse": true}}
| 4,774
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = i + 2; z = m + 19; y = t + 19; t = b + 15; u = 18; l = z + 11; n = e + 10; e = l + 10; r = u + 3; i = u + 12; c = h + 17; m = r + 14; h = y + 19. Given that u = 18, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 19 to c, which gives c = y + 36.\n2. Substitute y = t + 19 to c, which gives c = t + 55.\n3. Substitute t = b + 15 to c, which gives c = b + 70.\n4. Substitute b = i + 2 to c, which gives c = i + 72.\n5. Substitute i = u + 12 to c, which gives c = u + 84.\n6. Substitute u = 18 to c, which gives c = 102.\n\nThus, the final answer is c = \\boxed{102}.",
"index": 4774,
"question": "Suppose a collection of variables is related by the following definitions: b = i + 2; z = m + 19; y = t + 19; t = b + 15; u = 18; l = z + 11; n = e + 10; e = l + 10; r = u + 3; i = u + 12; c = h + 17; m = r + 14; h = y + 19. Given that u = 18, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"r": "i + 6", "l": "r + 11", "w": "l + 13", "a": "w + 5", "q": "a + 17", "d": "q + 5", "k": "i + 2", "b": "k + 1", "v": "b + 17", "t": "v + 10", "m": "t + 18", "o": "m + 20", "i": 5}, "premises": {"i": 5}, "target": "d"}, "answer": {"steps": [["q", "a + 17", "a + 22"], ["a", "w + 5", "w + 27"], ["w", "l + 13", "l + 40"], ["l", "r + 11", "r + 51"], ["r", "i + 6", "i + 57"], ["i", 5, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"i": 5}, "is_reverse": true}}
| 4,775
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = 5; a = w + 5; r = i + 6; t = v + 10; d = q + 5; v = b + 17; q = a + 17; m = t + 18; b = k + 1; w = l + 13; o = m + 20; k = i + 2; l = r + 11. Given that i = 5, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 17 to d, which gives d = a + 22.\n2. Substitute a = w + 5 to d, which gives d = w + 27.\n3. Substitute w = l + 13 to d, which gives d = l + 40.\n4. Substitute l = r + 11 to d, which gives d = r + 51.\n5. Substitute r = i + 6 to d, which gives d = i + 57.\n6. Substitute i = 5 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 4775,
"question": "Suppose a collection of variables is related by the following definitions: i = 5; a = w + 5; r = i + 6; t = v + 10; d = q + 5; v = b + 17; q = a + 17; m = t + 18; b = k + 1; w = l + 13; o = m + 20; k = i + 2; l = r + 11. Given that i = 5, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"f": "j + 16", "u": "f + 12", "x": "u + 12", "v": "x + 19", "p": "v + 14", "o": "p + 16", "w": "j + 6", "g": "w + 10", "k": "g + 6", "i": "k + 20", "q": "i + 9", "y": "q + 2", "j": 2}, "premises": {"j": 2}, "target": "o"}, "answer": {"steps": [["p", "v + 14", "v + 30"], ["v", "x + 19", "x + 49"], ["x", "u + 12", "u + 61"], ["u", "f + 12", "f + 73"], ["f", "j + 16", "j + 89"], ["j", 2, "91"]], "target_var_name": "o", "target_value": 91, "value_dict": {"j": 2}, "is_reverse": true}}
| 4,776
| 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 = g + 6; x = u + 12; w = j + 6; j = 2; f = j + 16; p = v + 14; g = w + 10; u = f + 12; q = i + 9; i = k + 20; y = q + 2; o = p + 16; v = x + 19. If j = 2, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 14 to o, which gives o = v + 30.\n2. Substitute v = x + 19 to o, which gives o = x + 49.\n3. Substitute x = u + 12 to o, which gives o = u + 61.\n4. Substitute u = f + 12 to o, which gives o = f + 73.\n5. Substitute f = j + 16 to o, which gives o = j + 89.\n6. Substitute j = 2 to o, which gives o = 91.\n\nThus, the final answer is o = \\boxed{91}.",
"index": 4776,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = g + 6; x = u + 12; w = j + 6; j = 2; f = j + 16; p = v + 14; g = w + 10; u = f + 12; q = i + 9; i = k + 20; y = q + 2; o = p + 16; v = x + 19. If j = 2, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"j": "e + 2", "c": "j + 16", "p": "c + 17", "d": "p + 13", "s": "d + 11", "q": "s + 9", "a": "e + 3", "b": "a + 12", "g": "b + 10", "t": "g + 20", "l": "t + 18", "i": "l + 9", "e": 12}, "premises": {"e": 12}, "target": "q"}, "answer": {"steps": [["s", "d + 11", "d + 20"], ["d", "p + 13", "p + 33"], ["p", "c + 17", "c + 50"], ["c", "j + 16", "j + 66"], ["j", "e + 2", "e + 68"], ["e", 12, "80"]], "target_var_name": "q", "target_value": 80, "value_dict": {"e": 12}, "is_reverse": true}}
| 4,777
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = 12; a = e + 3; j = e + 2; t = g + 20; l = t + 18; i = l + 9; p = c + 17; b = a + 12; g = b + 10; q = s + 9; c = j + 16; d = p + 13; s = d + 11. If e = 12, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 11 to q, which gives q = d + 20.\n2. Substitute d = p + 13 to q, which gives q = p + 33.\n3. Substitute p = c + 17 to q, which gives q = c + 50.\n4. Substitute c = j + 16 to q, which gives q = j + 66.\n5. Substitute j = e + 2 to q, which gives q = e + 68.\n6. Substitute e = 12 to q, which gives q = 80.\n\nThus, the final answer is q = \\boxed{80}.",
"index": 4777,
"question": "Consider a system of variables where each variable is defined as follows: e = 12; a = e + 3; j = e + 2; t = g + 20; l = t + 18; i = l + 9; p = c + 17; b = a + 12; g = b + 10; q = s + 9; c = j + 16; d = p + 13; s = d + 11. If e = 12, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"u": "d + 9", "f": "u + 13", "n": "f + 20", "j": "n + 14", "i": "j + 7", "m": "i + 10", "x": "d + 3", "y": "x + 11", "o": "y + 4", "l": "o + 4", "b": "l + 6", "z": "b + 15", "d": 10}, "premises": {"d": 10}, "target": "m"}, "answer": {"steps": [["i", "j + 7", "j + 17"], ["j", "n + 14", "n + 31"], ["n", "f + 20", "f + 51"], ["f", "u + 13", "u + 64"], ["u", "d + 9", "d + 73"], ["d", 10, "83"]], "target_var_name": "m", "target_value": 83, "value_dict": {"d": 10}, "is_reverse": true}}
| 4,778
| 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 = d + 9; y = x + 11; n = f + 20; z = b + 15; i = j + 7; b = l + 6; x = d + 3; l = o + 4; m = i + 10; d = 10; j = n + 14; f = u + 13; o = y + 4. If d = 10, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 7 to m, which gives m = j + 17.\n2. Substitute j = n + 14 to m, which gives m = n + 31.\n3. Substitute n = f + 20 to m, which gives m = f + 51.\n4. Substitute f = u + 13 to m, which gives m = u + 64.\n5. Substitute u = d + 9 to m, which gives m = d + 73.\n6. Substitute d = 10 to m, which gives m = 83.\n\nThus, the final answer is m = \\boxed{83}.",
"index": 4778,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = d + 9; y = x + 11; n = f + 20; z = b + 15; i = j + 7; b = l + 6; x = d + 3; l = o + 4; m = i + 10; d = 10; j = n + 14; f = u + 13; o = y + 4. If d = 10, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"s": "p + 13", "g": "s + 5", "y": "g + 3", "f": "y + 19", "m": "f + 19", "h": "m + 18", "u": "p + 9", "i": "u + 1", "e": "i + 8", "q": "e + 16", "c": "q + 16", "x": "c + 17", "p": 8}, "premises": {"p": 8}, "target": "h"}, "answer": {"steps": [["m", "f + 19", "f + 37"], ["f", "y + 19", "y + 56"], ["y", "g + 3", "g + 59"], ["g", "s + 5", "s + 64"], ["s", "p + 13", "p + 77"], ["p", 8, "85"]], "target_var_name": "h", "target_value": 85, "value_dict": {"p": 8}, "is_reverse": true}}
| 4,779
| 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 = c + 17; q = e + 16; u = p + 9; g = s + 5; h = m + 18; c = q + 16; y = g + 3; m = f + 19; p = 8; e = i + 8; f = y + 19; i = u + 1; s = p + 13. If p = 8, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 19 to h, which gives h = f + 37.\n2. Substitute f = y + 19 to h, which gives h = y + 56.\n3. Substitute y = g + 3 to h, which gives h = g + 59.\n4. Substitute g = s + 5 to h, which gives h = s + 64.\n5. Substitute s = p + 13 to h, which gives h = p + 77.\n6. Substitute p = 8 to h, which gives h = 85.\n\nThus, the final answer is h = \\boxed{85}.",
"index": 4779,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = c + 17; q = e + 16; u = p + 9; g = s + 5; h = m + 18; c = q + 16; y = g + 3; m = f + 19; p = 8; e = i + 8; f = y + 19; i = u + 1; s = p + 13. If p = 8, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"b": "w + 7", "f": "b + 6", "o": "f + 10", "x": "o + 17", "m": "x + 1", "q": "m + 16", "y": "w + 12", "t": "y + 10", "n": "t + 16", "j": "n + 7", "s": "j + 13", "r": "s + 5", "w": 12}, "premises": {"w": 12}, "target": "q"}, "answer": {"steps": [["m", "x + 1", "x + 17"], ["x", "o + 17", "o + 34"], ["o", "f + 10", "f + 44"], ["f", "b + 6", "b + 50"], ["b", "w + 7", "w + 57"], ["w", 12, "69"]], "target_var_name": "q", "target_value": 69, "value_dict": {"w": 12}, "is_reverse": true}}
| 4,780
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = w + 12; n = t + 16; x = o + 17; o = f + 10; j = n + 7; t = y + 10; q = m + 16; s = j + 13; w = 12; b = w + 7; f = b + 6; r = s + 5; m = x + 1. If w = 12, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 1 to q, which gives q = x + 17.\n2. Substitute x = o + 17 to q, which gives q = o + 34.\n3. Substitute o = f + 10 to q, which gives q = f + 44.\n4. Substitute f = b + 6 to q, which gives q = b + 50.\n5. Substitute b = w + 7 to q, which gives q = w + 57.\n6. Substitute w = 12 to q, which gives q = 69.\n\nThus, the final answer is q = \\boxed{69}.",
"index": 4780,
"question": "Consider a system of variables where each variable is defined as follows: y = w + 12; n = t + 16; x = o + 17; o = f + 10; j = n + 7; t = y + 10; q = m + 16; s = j + 13; w = 12; b = w + 7; f = b + 6; r = s + 5; m = x + 1. If w = 12, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"f": "b + 11", "c": "f + 7", "e": "c + 1", "k": "e + 4", "y": "k + 3", "u": "y + 8", "m": "b + 10", "r": "m + 1", "q": "r + 19", "i": "q + 14", "n": "i + 13", "v": "n + 18", "b": 15}, "premises": {"b": 15}, "target": "u"}, "answer": {"steps": [["y", "k + 3", "k + 11"], ["k", "e + 4", "e + 15"], ["e", "c + 1", "c + 16"], ["c", "f + 7", "f + 23"], ["f", "b + 11", "b + 34"], ["b", 15, "49"]], "target_var_name": "u", "target_value": 49, "value_dict": {"b": 15}, "is_reverse": true}}
| 4,781
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = n + 18; k = e + 4; y = k + 3; e = c + 1; u = y + 8; b = 15; r = m + 1; c = f + 7; n = i + 13; q = r + 19; m = b + 10; i = q + 14; f = b + 11. If b = 15, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 3 to u, which gives u = k + 11.\n2. Substitute k = e + 4 to u, which gives u = e + 15.\n3. Substitute e = c + 1 to u, which gives u = c + 16.\n4. Substitute c = f + 7 to u, which gives u = f + 23.\n5. Substitute f = b + 11 to u, which gives u = b + 34.\n6. Substitute b = 15 to u, which gives u = 49.\n\nThus, the final answer is u = \\boxed{49}.",
"index": 4781,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = n + 18; k = e + 4; y = k + 3; e = c + 1; u = y + 8; b = 15; r = m + 1; c = f + 7; n = i + 13; q = r + 19; m = b + 10; i = q + 14; f = b + 11. If b = 15, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 17", "t": "e + 10", "p": "t + 6", "v": "p + 15", "l": "v + 9", "j": "l + 2", "w": "n + 3", "r": "w + 17", "g": "r + 8", "i": "g + 9", "z": "i + 3", "s": "z + 8", "n": 6}, "premises": {"n": 6}, "target": "j"}, "answer": {"steps": [["l", "v + 9", "v + 11"], ["v", "p + 15", "p + 26"], ["p", "t + 6", "t + 32"], ["t", "e + 10", "e + 42"], ["e", "n + 17", "n + 59"], ["n", 6, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"n": 6}, "is_reverse": true}}
| 4,782
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = t + 6; g = r + 8; s = z + 8; w = n + 3; z = i + 3; n = 6; i = g + 9; r = w + 17; t = e + 10; e = n + 17; v = p + 15; j = l + 2; l = v + 9. Given that n = 6, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 9 to j, which gives j = v + 11.\n2. Substitute v = p + 15 to j, which gives j = p + 26.\n3. Substitute p = t + 6 to j, which gives j = t + 32.\n4. Substitute t = e + 10 to j, which gives j = e + 42.\n5. Substitute e = n + 17 to j, which gives j = n + 59.\n6. Substitute n = 6 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 4782,
"question": "Suppose a collection of variables is related by the following definitions: p = t + 6; g = r + 8; s = z + 8; w = n + 3; z = i + 3; n = 6; i = g + 9; r = w + 17; t = e + 10; e = n + 17; v = p + 15; j = l + 2; l = v + 9. Given that n = 6, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"m": "n + 18", "c": "m + 15", "i": "c + 19", "r": "i + 20", "g": "r + 9", "b": "g + 11", "v": "n + 5", "x": "v + 12", "f": "x + 16", "o": "f + 7", "j": "o + 7", "t": "j + 14", "n": 9}, "premises": {"n": 9}, "target": "b"}, "answer": {"steps": [["g", "r + 9", "r + 20"], ["r", "i + 20", "i + 40"], ["i", "c + 19", "c + 59"], ["c", "m + 15", "m + 74"], ["m", "n + 18", "n + 92"], ["n", 9, "101"]], "target_var_name": "b", "target_value": 101, "value_dict": {"n": 9}, "is_reverse": true}}
| 4,783
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = n + 5; n = 9; b = g + 11; f = x + 16; t = j + 14; o = f + 7; j = o + 7; c = m + 15; m = n + 18; r = i + 20; i = c + 19; g = r + 9; x = v + 12. If n = 9, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 9 to b, which gives b = r + 20.\n2. Substitute r = i + 20 to b, which gives b = i + 40.\n3. Substitute i = c + 19 to b, which gives b = c + 59.\n4. Substitute c = m + 15 to b, which gives b = m + 74.\n5. Substitute m = n + 18 to b, which gives b = n + 92.\n6. Substitute n = 9 to b, which gives b = 101.\n\nThus, the final answer is b = \\boxed{101}.",
"index": 4783,
"question": "Consider a system of variables where each variable is defined as follows: v = n + 5; n = 9; b = g + 11; f = x + 16; t = j + 14; o = f + 7; j = o + 7; c = m + 15; m = n + 18; r = i + 20; i = c + 19; g = r + 9; x = v + 12. If n = 9, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 9", "w": "p + 15", "v": "w + 8", "o": "v + 8", "k": "o + 7", "z": "k + 8", "s": "x + 12", "i": "s + 10", "c": "i + 15", "d": "c + 5", "r": "d + 5", "y": "r + 15", "x": 8}, "premises": {"x": 8}, "target": "z"}, "answer": {"steps": [["k", "o + 7", "o + 15"], ["o", "v + 8", "v + 23"], ["v", "w + 8", "w + 31"], ["w", "p + 15", "p + 46"], ["p", "x + 9", "x + 55"], ["x", 8, "63"]], "target_var_name": "z", "target_value": 63, "value_dict": {"x": 8}, "is_reverse": true}}
| 4,784
| 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 = x + 12; w = p + 15; r = d + 5; y = r + 15; i = s + 10; p = x + 9; c = i + 15; x = 8; k = o + 7; z = k + 8; v = w + 8; d = c + 5; o = v + 8. If x = 8, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 7 to z, which gives z = o + 15.\n2. Substitute o = v + 8 to z, which gives z = v + 23.\n3. Substitute v = w + 8 to z, which gives z = w + 31.\n4. Substitute w = p + 15 to z, which gives z = p + 46.\n5. Substitute p = x + 9 to z, which gives z = x + 55.\n6. Substitute x = 8 to z, which gives z = 63.\n\nThus, the final answer is z = \\boxed{63}.",
"index": 4784,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = x + 12; w = p + 15; r = d + 5; y = r + 15; i = s + 10; p = x + 9; c = i + 15; x = 8; k = o + 7; z = k + 8; v = w + 8; d = c + 5; o = v + 8. If x = 8, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"z": "c + 17", "l": "z + 2", "b": "l + 20", "q": "b + 19", "h": "q + 19", "i": "h + 17", "t": "c + 6", "e": "t + 6", "y": "e + 5", "k": "y + 18", "x": "k + 7", "v": "x + 14", "c": 6}, "premises": {"c": 6}, "target": "i"}, "answer": {"steps": [["h", "q + 19", "q + 36"], ["q", "b + 19", "b + 55"], ["b", "l + 20", "l + 75"], ["l", "z + 2", "z + 77"], ["z", "c + 17", "c + 94"], ["c", 6, "100"]], "target_var_name": "i", "target_value": 100, "value_dict": {"c": 6}, "is_reverse": true}}
| 4,785
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = e + 5; c = 6; q = b + 19; v = x + 14; x = k + 7; l = z + 2; h = q + 19; z = c + 17; b = l + 20; i = h + 17; t = c + 6; k = y + 18; e = t + 6. If c = 6, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 19 to i, which gives i = q + 36.\n2. Substitute q = b + 19 to i, which gives i = b + 55.\n3. Substitute b = l + 20 to i, which gives i = l + 75.\n4. Substitute l = z + 2 to i, which gives i = z + 77.\n5. Substitute z = c + 17 to i, which gives i = c + 94.\n6. Substitute c = 6 to i, which gives i = 100.\n\nThus, the final answer is i = \\boxed{100}.",
"index": 4785,
"question": "Consider a system of variables where each variable is defined as follows: y = e + 5; c = 6; q = b + 19; v = x + 14; x = k + 7; l = z + 2; h = q + 19; z = c + 17; b = l + 20; i = h + 17; t = c + 6; k = y + 18; e = t + 6. If c = 6, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"g": "h + 9", "s": "g + 9", "n": "s + 19", "r": "n + 20", "z": "r + 11", "i": "z + 19", "b": "h + 9", "a": "b + 12", "d": "a + 14", "m": "d + 16", "y": "m + 9", "k": "y + 6", "h": 11}, "premises": {"h": 11}, "target": "i"}, "answer": {"steps": [["z", "r + 11", "r + 30"], ["r", "n + 20", "n + 50"], ["n", "s + 19", "s + 69"], ["s", "g + 9", "g + 78"], ["g", "h + 9", "h + 87"], ["h", 11, "98"]], "target_var_name": "i", "target_value": 98, "value_dict": {"h": 11}, "is_reverse": true}}
| 4,786
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = y + 6; z = r + 11; r = n + 20; y = m + 9; b = h + 9; n = s + 19; h = 11; i = z + 19; m = d + 16; d = a + 14; g = h + 9; a = b + 12; s = g + 9. Given that h = 11, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 11 to i, which gives i = r + 30.\n2. Substitute r = n + 20 to i, which gives i = n + 50.\n3. Substitute n = s + 19 to i, which gives i = s + 69.\n4. Substitute s = g + 9 to i, which gives i = g + 78.\n5. Substitute g = h + 9 to i, which gives i = h + 87.\n6. Substitute h = 11 to i, which gives i = 98.\n\nThus, the final answer is i = \\boxed{98}.",
"index": 4786,
"question": "Suppose a collection of variables is related by the following definitions: k = y + 6; z = r + 11; r = n + 20; y = m + 9; b = h + 9; n = s + 19; h = 11; i = z + 19; m = d + 16; d = a + 14; g = h + 9; a = b + 12; s = g + 9. Given that h = 11, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"k": "h + 3", "r": "k + 7", "w": "r + 20", "o": "w + 10", "i": "o + 11", "b": "i + 15", "l": "h + 19", "m": "l + 12", "s": "m + 7", "a": "s + 10", "f": "a + 2", "q": "f + 8", "h": 10}, "premises": {"h": 10}, "target": "b"}, "answer": {"steps": [["i", "o + 11", "o + 26"], ["o", "w + 10", "w + 36"], ["w", "r + 20", "r + 56"], ["r", "k + 7", "k + 63"], ["k", "h + 3", "h + 66"], ["h", 10, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"h": 10}, "is_reverse": true}}
| 4,787
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 20; o = w + 10; l = h + 19; h = 10; k = h + 3; s = m + 7; q = f + 8; a = s + 10; m = l + 12; i = o + 11; f = a + 2; b = i + 15; r = k + 7. If h = 10, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 11 to b, which gives b = o + 26.\n2. Substitute o = w + 10 to b, which gives b = w + 36.\n3. Substitute w = r + 20 to b, which gives b = r + 56.\n4. Substitute r = k + 7 to b, which gives b = k + 63.\n5. Substitute k = h + 3 to b, which gives b = h + 66.\n6. Substitute h = 10 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 4787,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 20; o = w + 10; l = h + 19; h = 10; k = h + 3; s = m + 7; q = f + 8; a = s + 10; m = l + 12; i = o + 11; f = a + 2; b = i + 15; r = k + 7. If h = 10, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"r": "b + 9", "i": "r + 6", "o": "i + 4", "e": "o + 15", "p": "e + 9", "c": "p + 16", "q": "b + 2", "t": "q + 20", "f": "t + 2", "z": "f + 8", "s": "z + 4", "n": "s + 7", "b": 6}, "premises": {"b": 6}, "target": "c"}, "answer": {"steps": [["p", "e + 9", "e + 25"], ["e", "o + 15", "o + 40"], ["o", "i + 4", "i + 44"], ["i", "r + 6", "r + 50"], ["r", "b + 9", "b + 59"], ["b", 6, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"b": 6}, "is_reverse": true}}
| 4,788
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = e + 9; c = p + 16; t = q + 20; z = f + 8; i = r + 6; f = t + 2; q = b + 2; r = b + 9; e = o + 15; n = s + 7; b = 6; s = z + 4; o = i + 4. Given that b = 6, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 9 to c, which gives c = e + 25.\n2. Substitute e = o + 15 to c, which gives c = o + 40.\n3. Substitute o = i + 4 to c, which gives c = i + 44.\n4. Substitute i = r + 6 to c, which gives c = r + 50.\n5. Substitute r = b + 9 to c, which gives c = b + 59.\n6. Substitute b = 6 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 4788,
"question": "Suppose a collection of variables is related by the following definitions: p = e + 9; c = p + 16; t = q + 20; z = f + 8; i = r + 6; f = t + 2; q = b + 2; r = b + 9; e = o + 15; n = s + 7; b = 6; s = z + 4; o = i + 4. Given that b = 6, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"n": "w + 16", "b": "n + 1", "r": "b + 12", "l": "r + 12", "u": "l + 20", "h": "u + 11", "i": "w + 3", "s": "i + 8", "x": "s + 6", "a": "x + 5", "t": "a + 13", "z": "t + 7", "w": 8}, "premises": {"w": 8}, "target": "h"}, "answer": {"steps": [["u", "l + 20", "l + 31"], ["l", "r + 12", "r + 43"], ["r", "b + 12", "b + 55"], ["b", "n + 1", "n + 56"], ["n", "w + 16", "w + 72"], ["w", 8, "80"]], "target_var_name": "h", "target_value": 80, "value_dict": {"w": 8}, "is_reverse": true}}
| 4,789
| 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 = l + 20; a = x + 5; r = b + 12; z = t + 7; t = a + 13; h = u + 11; b = n + 1; x = s + 6; i = w + 3; l = r + 12; w = 8; s = i + 8; n = w + 16. If w = 8, what is the resulting 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 u = l + 20 to h, which gives h = l + 31.\n2. Substitute l = r + 12 to h, which gives h = r + 43.\n3. Substitute r = b + 12 to h, which gives h = b + 55.\n4. Substitute b = n + 1 to h, which gives h = n + 56.\n5. Substitute n = w + 16 to h, which gives h = w + 72.\n6. Substitute w = 8 to h, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 4789,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = l + 20; a = x + 5; r = b + 12; z = t + 7; t = a + 13; h = u + 11; b = n + 1; x = s + 6; i = w + 3; l = r + 12; w = 8; s = i + 8; n = w + 16. If w = 8, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"y": "z + 19", "j": "y + 8", "d": "j + 3", "a": "d + 6", "n": "a + 12", "r": "n + 6", "g": "z + 9", "q": "g + 2", "f": "q + 11", "p": "f + 19", "t": "p + 10", "c": "t + 20", "z": 7}, "premises": {"z": 7}, "target": "r"}, "answer": {"steps": [["n", "a + 12", "a + 18"], ["a", "d + 6", "d + 24"], ["d", "j + 3", "j + 27"], ["j", "y + 8", "y + 35"], ["y", "z + 19", "z + 54"], ["z", 7, "61"]], "target_var_name": "r", "target_value": 61, "value_dict": {"z": 7}, "is_reverse": true}}
| 4,790
| 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 = j + 3; c = t + 20; j = y + 8; g = z + 9; z = 7; a = d + 6; y = z + 19; r = n + 6; q = g + 2; t = p + 10; n = a + 12; f = q + 11; p = f + 19. If z = 7, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 12 to r, which gives r = a + 18.\n2. Substitute a = d + 6 to r, which gives r = d + 24.\n3. Substitute d = j + 3 to r, which gives r = j + 27.\n4. Substitute j = y + 8 to r, which gives r = y + 35.\n5. Substitute y = z + 19 to r, which gives r = z + 54.\n6. Substitute z = 7 to r, which gives r = 61.\n\nThus, the final answer is r = \\boxed{61}.",
"index": 4790,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = j + 3; c = t + 20; j = y + 8; g = z + 9; z = 7; a = d + 6; y = z + 19; r = n + 6; q = g + 2; t = p + 10; n = a + 12; f = q + 11; p = f + 19. If z = 7, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"q": "m + 12", "k": "q + 13", "y": "k + 11", "i": "y + 2", "x": "i + 15", "r": "x + 16", "t": "m + 16", "a": "t + 15", "b": "a + 2", "e": "b + 2", "g": "e + 7", "n": "g + 7", "m": 19}, "premises": {"m": 19}, "target": "r"}, "answer": {"steps": [["x", "i + 15", "i + 31"], ["i", "y + 2", "y + 33"], ["y", "k + 11", "k + 44"], ["k", "q + 13", "q + 57"], ["q", "m + 12", "m + 69"], ["m", 19, "88"]], "target_var_name": "r", "target_value": 88, "value_dict": {"m": 19}, "is_reverse": true}}
| 4,791
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = y + 2; n = g + 7; a = t + 15; x = i + 15; y = k + 11; b = a + 2; e = b + 2; t = m + 16; r = x + 16; q = m + 12; g = e + 7; k = q + 13; m = 19. Given that m = 19, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 15 to r, which gives r = i + 31.\n2. Substitute i = y + 2 to r, which gives r = y + 33.\n3. Substitute y = k + 11 to r, which gives r = k + 44.\n4. Substitute k = q + 13 to r, which gives r = q + 57.\n5. Substitute q = m + 12 to r, which gives r = m + 69.\n6. Substitute m = 19 to r, which gives r = 88.\n\nThus, the final answer is r = \\boxed{88}.",
"index": 4791,
"question": "Suppose a collection of variables is related by the following definitions: i = y + 2; n = g + 7; a = t + 15; x = i + 15; y = k + 11; b = a + 2; e = b + 2; t = m + 16; r = x + 16; q = m + 12; g = e + 7; k = q + 13; m = 19. Given that m = 19, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"i": "z + 15", "q": "i + 17", "o": "q + 11", "e": "o + 9", "d": "e + 19", "c": "d + 15", "j": "z + 1", "l": "j + 12", "n": "l + 7", "b": "n + 19", "u": "b + 14", "w": "u + 18", "z": 3}, "premises": {"z": 3}, "target": "c"}, "answer": {"steps": [["d", "e + 19", "e + 34"], ["e", "o + 9", "o + 43"], ["o", "q + 11", "q + 54"], ["q", "i + 17", "i + 71"], ["i", "z + 15", "z + 86"], ["z", 3, "89"]], "target_var_name": "c", "target_value": 89, "value_dict": {"z": 3}, "is_reverse": true}}
| 4,792
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 18; e = o + 9; c = d + 15; z = 3; j = z + 1; i = z + 15; b = n + 19; u = b + 14; n = l + 7; q = i + 17; d = e + 19; o = q + 11; l = j + 12. If z = 3, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 19 to c, which gives c = e + 34.\n2. Substitute e = o + 9 to c, which gives c = o + 43.\n3. Substitute o = q + 11 to c, which gives c = q + 54.\n4. Substitute q = i + 17 to c, which gives c = i + 71.\n5. Substitute i = z + 15 to c, which gives c = z + 86.\n6. Substitute z = 3 to c, which gives c = 89.\n\nThus, the final answer is c = \\boxed{89}.",
"index": 4792,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 18; e = o + 9; c = d + 15; z = 3; j = z + 1; i = z + 15; b = n + 19; u = b + 14; n = l + 7; q = i + 17; d = e + 19; o = q + 11; l = j + 12. If z = 3, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"s": "q + 7", "d": "s + 7", "w": "d + 8", "j": "w + 16", "r": "j + 3", "f": "r + 14", "h": "q + 7", "c": "h + 12", "k": "c + 3", "e": "k + 13", "p": "e + 8", "i": "p + 20", "q": 1}, "premises": {"q": 1}, "target": "f"}, "answer": {"steps": [["r", "j + 3", "j + 17"], ["j", "w + 16", "w + 33"], ["w", "d + 8", "d + 41"], ["d", "s + 7", "s + 48"], ["s", "q + 7", "q + 55"], ["q", 1, "56"]], "target_var_name": "f", "target_value": 56, "value_dict": {"q": 1}, "is_reverse": true}}
| 4,793
| 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 = j + 3; f = r + 14; q = 1; d = s + 7; e = k + 13; w = d + 8; h = q + 7; s = q + 7; j = w + 16; k = c + 3; i = p + 20; p = e + 8; c = h + 12. If q = 1, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 3 to f, which gives f = j + 17.\n2. Substitute j = w + 16 to f, which gives f = w + 33.\n3. Substitute w = d + 8 to f, which gives f = d + 41.\n4. Substitute d = s + 7 to f, which gives f = s + 48.\n5. Substitute s = q + 7 to f, which gives f = q + 55.\n6. Substitute q = 1 to f, which gives f = 56.\n\nThus, the final answer is f = \\boxed{56}.",
"index": 4793,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 3; f = r + 14; q = 1; d = s + 7; e = k + 13; w = d + 8; h = q + 7; s = q + 7; j = w + 16; k = c + 3; i = p + 20; p = e + 8; c = h + 12. If q = 1, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"h": "v + 8", "r": "h + 6", "a": "r + 3", "e": "a + 7", "o": "e + 5", "t": "o + 14", "p": "v + 2", "f": "p + 7", "j": "f + 12", "m": "j + 16", "z": "m + 13", "q": "z + 15", "v": 6}, "premises": {"v": 6}, "target": "t"}, "answer": {"steps": [["o", "e + 5", "e + 19"], ["e", "a + 7", "a + 26"], ["a", "r + 3", "r + 29"], ["r", "h + 6", "h + 35"], ["h", "v + 8", "v + 43"], ["v", 6, "49"]], "target_var_name": "t", "target_value": 49, "value_dict": {"v": 6}, "is_reverse": true}}
| 4,794
| 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 = a + 7; j = f + 12; f = p + 7; m = j + 16; q = z + 15; a = r + 3; t = o + 14; v = 6; r = h + 6; z = m + 13; o = e + 5; p = v + 2; h = v + 8. If v = 6, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 5 to t, which gives t = e + 19.\n2. Substitute e = a + 7 to t, which gives t = a + 26.\n3. Substitute a = r + 3 to t, which gives t = r + 29.\n4. Substitute r = h + 6 to t, which gives t = h + 35.\n5. Substitute h = v + 8 to t, which gives t = v + 43.\n6. Substitute v = 6 to t, which gives t = 49.\n\nThus, the final answer is t = \\boxed{49}.",
"index": 4794,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = a + 7; j = f + 12; f = p + 7; m = j + 16; q = z + 15; a = r + 3; t = o + 14; v = 6; r = h + 6; z = m + 13; o = e + 5; p = v + 2; h = v + 8. If v = 6, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"v": "g + 6", "x": "v + 9", "o": "x + 4", "t": "o + 20", "i": "t + 1", "d": "i + 12", "p": "g + 3", "k": "p + 1", "e": "k + 9", "r": "e + 10", "s": "r + 16", "q": "s + 7", "g": 9}, "premises": {"g": 9}, "target": "d"}, "answer": {"steps": [["i", "t + 1", "t + 13"], ["t", "o + 20", "o + 33"], ["o", "x + 4", "x + 37"], ["x", "v + 9", "v + 46"], ["v", "g + 6", "g + 52"], ["g", 9, "61"]], "target_var_name": "d", "target_value": 61, "value_dict": {"g": 9}, "is_reverse": true}}
| 4,795
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = t + 1; g = 9; e = k + 9; t = o + 20; o = x + 4; r = e + 10; p = g + 3; d = i + 12; q = s + 7; v = g + 6; s = r + 16; k = p + 1; x = v + 9. If g = 9, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 1 to d, which gives d = t + 13.\n2. Substitute t = o + 20 to d, which gives d = o + 33.\n3. Substitute o = x + 4 to d, which gives d = x + 37.\n4. Substitute x = v + 9 to d, which gives d = v + 46.\n5. Substitute v = g + 6 to d, which gives d = g + 52.\n6. Substitute g = 9 to d, which gives d = 61.\n\nThus, the final answer is d = \\boxed{61}.",
"index": 4795,
"question": "Consider a system of variables where each variable is defined as follows: i = t + 1; g = 9; e = k + 9; t = o + 20; o = x + 4; r = e + 10; p = g + 3; d = i + 12; q = s + 7; v = g + 6; s = r + 16; k = p + 1; x = v + 9. If g = 9, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"r": "q + 10", "d": "r + 9", "x": "d + 18", "c": "x + 1", "a": "c + 19", "t": "a + 13", "o": "q + 14", "i": "o + 7", "y": "i + 15", "n": "y + 12", "j": "n + 4", "s": "j + 19", "q": 1}, "premises": {"q": 1}, "target": "t"}, "answer": {"steps": [["a", "c + 19", "c + 32"], ["c", "x + 1", "x + 33"], ["x", "d + 18", "d + 51"], ["d", "r + 9", "r + 60"], ["r", "q + 10", "q + 70"], ["q", 1, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"q": 1}, "is_reverse": true}}
| 4,796
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = r + 9; s = j + 19; i = o + 7; o = q + 14; r = q + 10; a = c + 19; x = d + 18; n = y + 12; c = x + 1; y = i + 15; j = n + 4; q = 1; t = a + 13. If q = 1, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 19 to t, which gives t = c + 32.\n2. Substitute c = x + 1 to t, which gives t = x + 33.\n3. Substitute x = d + 18 to t, which gives t = d + 51.\n4. Substitute d = r + 9 to t, which gives t = r + 60.\n5. Substitute r = q + 10 to t, which gives t = q + 70.\n6. Substitute q = 1 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 4796,
"question": "Consider a system of variables where each variable is defined as follows: d = r + 9; s = j + 19; i = o + 7; o = q + 14; r = q + 10; a = c + 19; x = d + 18; n = y + 12; c = x + 1; y = i + 15; j = n + 4; q = 1; t = a + 13. If q = 1, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"f": "r + 2", "e": "f + 7", "l": "e + 7", "v": "l + 5", "n": "v + 11", "h": "n + 6", "w": "r + 16", "x": "w + 4", "t": "x + 7", "o": "t + 9", "p": "o + 6", "k": "p + 12", "r": 18}, "premises": {"r": 18}, "target": "h"}, "answer": {"steps": [["n", "v + 11", "v + 17"], ["v", "l + 5", "l + 22"], ["l", "e + 7", "e + 29"], ["e", "f + 7", "f + 36"], ["f", "r + 2", "r + 38"], ["r", 18, "56"]], "target_var_name": "h", "target_value": 56, "value_dict": {"r": 18}, "is_reverse": true}}
| 4,797
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = o + 6; v = l + 5; l = e + 7; w = r + 16; o = t + 9; r = 18; e = f + 7; t = x + 7; n = v + 11; k = p + 12; x = w + 4; h = n + 6; f = r + 2. If r = 18, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 11 to h, which gives h = v + 17.\n2. Substitute v = l + 5 to h, which gives h = l + 22.\n3. Substitute l = e + 7 to h, which gives h = e + 29.\n4. Substitute e = f + 7 to h, which gives h = f + 36.\n5. Substitute f = r + 2 to h, which gives h = r + 38.\n6. Substitute r = 18 to h, which gives h = 56.\n\nThus, the final answer is h = \\boxed{56}.",
"index": 4797,
"question": "Consider a system of variables where each variable is defined as follows: p = o + 6; v = l + 5; l = e + 7; w = r + 16; o = t + 9; r = 18; e = f + 7; t = x + 7; n = v + 11; k = p + 12; x = w + 4; h = n + 6; f = r + 2. If r = 18, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"s": "c + 20", "p": "s + 6", "t": "p + 4", "k": "t + 3", "x": "k + 20", "j": "x + 17", "h": "c + 6", "l": "h + 20", "f": "l + 9", "e": "f + 3", "d": "e + 4", "m": "d + 6", "c": 18}, "premises": {"c": 18}, "target": "j"}, "answer": {"steps": [["x", "k + 20", "k + 37"], ["k", "t + 3", "t + 40"], ["t", "p + 4", "p + 44"], ["p", "s + 6", "s + 50"], ["s", "c + 20", "c + 70"], ["c", 18, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"c": 18}, "is_reverse": true}}
| 4,798
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = c + 20; c = 18; k = t + 3; f = l + 9; e = f + 3; d = e + 4; m = d + 6; l = h + 20; h = c + 6; p = s + 6; x = k + 20; t = p + 4; j = x + 17. If c = 18, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 20 to j, which gives j = k + 37.\n2. Substitute k = t + 3 to j, which gives j = t + 40.\n3. Substitute t = p + 4 to j, which gives j = p + 44.\n4. Substitute p = s + 6 to j, which gives j = s + 50.\n5. Substitute s = c + 20 to j, which gives j = c + 70.\n6. Substitute c = 18 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 4798,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = c + 20; c = 18; k = t + 3; f = l + 9; e = f + 3; d = e + 4; m = d + 6; l = h + 20; h = c + 6; p = s + 6; x = k + 20; t = p + 4; j = x + 17. If c = 18, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"f": "j + 7", "i": "f + 5", "a": "i + 5", "z": "a + 5", "h": "z + 2", "x": "h + 4", "m": "j + 4", "w": "m + 4", "b": "w + 12", "c": "b + 16", "d": "c + 7", "k": "d + 10", "j": 2}, "premises": {"j": 2}, "target": "x"}, "answer": {"steps": [["h", "z + 2", "z + 6"], ["z", "a + 5", "a + 11"], ["a", "i + 5", "i + 16"], ["i", "f + 5", "f + 21"], ["f", "j + 7", "j + 28"], ["j", 2, "30"]], "target_var_name": "x", "target_value": 30, "value_dict": {"j": 2}, "is_reverse": true}}
| 4,799
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = a + 5; i = f + 5; d = c + 7; x = h + 4; j = 2; f = j + 7; k = d + 10; w = m + 4; c = b + 16; m = j + 4; a = i + 5; b = w + 12; h = z + 2. If j = 2, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 30,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 2 to x, which gives x = z + 6.\n2. Substitute z = a + 5 to x, which gives x = a + 11.\n3. Substitute a = i + 5 to x, which gives x = i + 16.\n4. Substitute i = f + 5 to x, which gives x = f + 21.\n5. Substitute f = j + 7 to x, which gives x = j + 28.\n6. Substitute j = 2 to x, which gives x = 30.\n\nThus, the final answer is x = \\boxed{30}.",
"index": 4799,
"question": "Consider a system of variables where each variable is defined as follows: z = a + 5; i = f + 5; d = c + 7; x = h + 4; j = 2; f = j + 7; k = d + 10; w = m + 4; c = b + 16; m = j + 4; a = i + 5; b = w + 12; h = z + 2. If j = 2, determine the value of x.",
"split": "train"
}
|
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