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25.6k
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int64 0
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stringclasses 1
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stringclasses 1
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listlengths 1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"d": "l + 19", "h": "d + 7", "p": "h + 13", "i": "p + 2", "f": "i + 4", "y": "f + 9", "c": "l + 7", "k": "c + 16", "a": "k + 15", "u": "a + 1", "m": "u + 11", "o": "m + 20", "l": 12}, "premises": {"l": 12}, "target": "y"}, "answer": {"steps": [["f", "i + 4", "i + 13"], ["i", "p + 2", "p + 15"], ["p", "h + 13", "h + 28"], ["h", "d + 7", "d + 35"], ["d", "l + 19", "l + 54"], ["l", 12, "66"]], "target_var_name": "y", "target_value": 66, "value_dict": {"l": 12}, "is_reverse": true}}
| 25,100
| 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 = c + 16; d = l + 19; h = d + 7; f = i + 4; o = m + 20; y = f + 9; i = p + 2; m = u + 11; p = h + 13; a = k + 15; c = l + 7; u = a + 1; l = 12. If l = 12, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 4 to y, which gives y = i + 13.\n2. Substitute i = p + 2 to y, which gives y = p + 15.\n3. Substitute p = h + 13 to y, which gives y = h + 28.\n4. Substitute h = d + 7 to y, which gives y = d + 35.\n5. Substitute d = l + 19 to y, which gives y = l + 54.\n6. Substitute l = 12 to y, which gives y = 66.\n\nThus, the final answer is y = \\boxed{66}.",
"index": 25100,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = c + 16; d = l + 19; h = d + 7; f = i + 4; o = m + 20; y = f + 9; i = p + 2; m = u + 11; p = h + 13; a = k + 15; c = l + 7; u = a + 1; l = 12. If l = 12, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"y": "g + 13", "o": "y + 1", "a": "o + 1", "t": "a + 10", "b": "t + 18", "s": "b + 10", "q": "g + 9", "r": "q + 3", "e": "r + 10", "i": "e + 14", "p": "i + 20", "v": "p + 12", "g": 12}, "premises": {"g": 12}, "target": "s"}, "answer": {"steps": [["b", "t + 18", "t + 28"], ["t", "a + 10", "a + 38"], ["a", "o + 1", "o + 39"], ["o", "y + 1", "y + 40"], ["y", "g + 13", "g + 53"], ["g", 12, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"g": 12}, "is_reverse": true}}
| 25,101
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = p + 12; o = y + 1; g = 12; b = t + 18; y = g + 13; q = g + 9; e = r + 10; s = b + 10; p = i + 20; t = a + 10; a = o + 1; r = q + 3; i = e + 14. If g = 12, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 18 to s, which gives s = t + 28.\n2. Substitute t = a + 10 to s, which gives s = a + 38.\n3. Substitute a = o + 1 to s, which gives s = o + 39.\n4. Substitute o = y + 1 to s, which gives s = y + 40.\n5. Substitute y = g + 13 to s, which gives s = g + 53.\n6. Substitute g = 12 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 25101,
"question": "Consider a system of variables where each variable is defined as follows: v = p + 12; o = y + 1; g = 12; b = t + 18; y = g + 13; q = g + 9; e = r + 10; s = b + 10; p = i + 20; t = a + 10; a = o + 1; r = q + 3; i = e + 14. If g = 12, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"d": "w + 8", "c": "d + 4", "b": "c + 7", "h": "b + 5", "s": "h + 10", "x": "s + 16", "q": "w + 10", "g": "q + 9", "l": "g + 10", "z": "l + 5", "j": "z + 14", "e": "j + 10", "w": 15}, "premises": {"w": 15}, "target": "x"}, "answer": {"steps": [["s", "h + 10", "h + 26"], ["h", "b + 5", "b + 31"], ["b", "c + 7", "c + 38"], ["c", "d + 4", "d + 42"], ["d", "w + 8", "w + 50"], ["w", 15, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"w": 15}, "is_reverse": true}}
| 25,102
| 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 = 15; g = q + 9; x = s + 16; c = d + 4; h = b + 5; q = w + 10; d = w + 8; s = h + 10; e = j + 10; b = c + 7; l = g + 10; z = l + 5; j = z + 14. If w = 15, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 10 to x, which gives x = h + 26.\n2. Substitute h = b + 5 to x, which gives x = b + 31.\n3. Substitute b = c + 7 to x, which gives x = c + 38.\n4. Substitute c = d + 4 to x, which gives x = d + 42.\n5. Substitute d = w + 8 to x, which gives x = w + 50.\n6. Substitute w = 15 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 25102,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 15; g = q + 9; x = s + 16; c = d + 4; h = b + 5; q = w + 10; d = w + 8; s = h + 10; e = j + 10; b = c + 7; l = g + 10; z = l + 5; j = z + 14. If w = 15, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"n": "f + 6", "e": "n + 8", "x": "e + 3", "b": "x + 15", "g": "b + 16", "s": "g + 13", "w": "f + 16", "l": "w + 17", "a": "l + 10", "j": "a + 4", "u": "j + 15", "r": "u + 13", "f": 16}, "premises": {"f": 16}, "target": "s"}, "answer": {"steps": [["g", "b + 16", "b + 29"], ["b", "x + 15", "x + 44"], ["x", "e + 3", "e + 47"], ["e", "n + 8", "n + 55"], ["n", "f + 6", "f + 61"], ["f", 16, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"f": 16}, "is_reverse": true}}
| 25,103
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = b + 16; x = e + 3; a = l + 10; r = u + 13; s = g + 13; w = f + 16; j = a + 4; e = n + 8; l = w + 17; u = j + 15; f = 16; b = x + 15; n = f + 6. Given that f = 16, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 16 to s, which gives s = b + 29.\n2. Substitute b = x + 15 to s, which gives s = x + 44.\n3. Substitute x = e + 3 to s, which gives s = e + 47.\n4. Substitute e = n + 8 to s, which gives s = n + 55.\n5. Substitute n = f + 6 to s, which gives s = f + 61.\n6. Substitute f = 16 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 25103,
"question": "Suppose a collection of variables is related by the following definitions: g = b + 16; x = e + 3; a = l + 10; r = u + 13; s = g + 13; w = f + 16; j = a + 4; e = n + 8; l = w + 17; u = j + 15; f = 16; b = x + 15; n = f + 6. Given that f = 16, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"d": "s + 1", "h": "d + 13", "j": "h + 2", "g": "j + 5", "w": "g + 14", "p": "w + 17", "e": "s + 15", "l": "e + 3", "k": "l + 13", "v": "k + 3", "q": "v + 9", "y": "q + 1", "s": 6}, "premises": {"s": 6}, "target": "p"}, "answer": {"steps": [["w", "g + 14", "g + 31"], ["g", "j + 5", "j + 36"], ["j", "h + 2", "h + 38"], ["h", "d + 13", "d + 51"], ["d", "s + 1", "s + 52"], ["s", 6, "58"]], "target_var_name": "p", "target_value": 58, "value_dict": {"s": 6}, "is_reverse": true}}
| 25,104
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = 6; h = d + 13; e = s + 15; y = q + 1; d = s + 1; l = e + 3; k = l + 13; q = v + 9; g = j + 5; w = g + 14; j = h + 2; v = k + 3; p = w + 17. If s = 6, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 14 to p, which gives p = g + 31.\n2. Substitute g = j + 5 to p, which gives p = j + 36.\n3. Substitute j = h + 2 to p, which gives p = h + 38.\n4. Substitute h = d + 13 to p, which gives p = d + 51.\n5. Substitute d = s + 1 to p, which gives p = s + 52.\n6. Substitute s = 6 to p, which gives p = 58.\n\nThus, the final answer is p = \\boxed{58}.",
"index": 25104,
"question": "Consider a system of variables where each variable is defined as follows: s = 6; h = d + 13; e = s + 15; y = q + 1; d = s + 1; l = e + 3; k = l + 13; q = v + 9; g = j + 5; w = g + 14; j = h + 2; v = k + 3; p = w + 17. If s = 6, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"v": "y + 11", "t": "v + 4", "w": "t + 19", "i": "w + 15", "s": "i + 14", "r": "s + 16", "j": "y + 9", "m": "j + 6", "f": "m + 14", "p": "f + 3", "d": "p + 11", "n": "d + 19", "y": 16}, "premises": {"y": 16}, "target": "r"}, "answer": {"steps": [["s", "i + 14", "i + 30"], ["i", "w + 15", "w + 45"], ["w", "t + 19", "t + 64"], ["t", "v + 4", "v + 68"], ["v", "y + 11", "y + 79"], ["y", 16, "95"]], "target_var_name": "r", "target_value": 95, "value_dict": {"y": 16}, "is_reverse": true}}
| 25,105
| 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 = 16; f = m + 14; s = i + 14; j = y + 9; r = s + 16; d = p + 11; v = y + 11; n = d + 19; m = j + 6; w = t + 19; p = f + 3; t = v + 4; i = w + 15. If y = 16, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 14 to r, which gives r = i + 30.\n2. Substitute i = w + 15 to r, which gives r = w + 45.\n3. Substitute w = t + 19 to r, which gives r = t + 64.\n4. Substitute t = v + 4 to r, which gives r = v + 68.\n5. Substitute v = y + 11 to r, which gives r = y + 79.\n6. Substitute y = 16 to r, which gives r = 95.\n\nThus, the final answer is r = \\boxed{95}.",
"index": 25105,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = 16; f = m + 14; s = i + 14; j = y + 9; r = s + 16; d = p + 11; v = y + 11; n = d + 19; m = j + 6; w = t + 19; p = f + 3; t = v + 4; i = w + 15. If y = 16, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"c": "h + 11", "q": "c + 16", "v": "q + 12", "x": "v + 8", "j": "x + 16", "t": "j + 12", "w": "h + 12", "r": "w + 19", "d": "r + 17", "f": "d + 5", "y": "f + 20", "k": "y + 2", "h": 7}, "premises": {"h": 7}, "target": "t"}, "answer": {"steps": [["j", "x + 16", "x + 28"], ["x", "v + 8", "v + 36"], ["v", "q + 12", "q + 48"], ["q", "c + 16", "c + 64"], ["c", "h + 11", "h + 75"], ["h", 7, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"h": 7}, "is_reverse": true}}
| 25,106
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = h + 11; f = d + 5; d = r + 17; v = q + 12; k = y + 2; x = v + 8; h = 7; w = h + 12; r = w + 19; j = x + 16; y = f + 20; q = c + 16; t = j + 12. Given that h = 7, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 16 to t, which gives t = x + 28.\n2. Substitute x = v + 8 to t, which gives t = v + 36.\n3. Substitute v = q + 12 to t, which gives t = q + 48.\n4. Substitute q = c + 16 to t, which gives t = c + 64.\n5. Substitute c = h + 11 to t, which gives t = h + 75.\n6. Substitute h = 7 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 25106,
"question": "Suppose a collection of variables is related by the following definitions: c = h + 11; f = d + 5; d = r + 17; v = q + 12; k = y + 2; x = v + 8; h = 7; w = h + 12; r = w + 19; j = x + 16; y = f + 20; q = c + 16; t = j + 12. Given that h = 7, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"w": "t + 4", "j": "w + 11", "b": "j + 11", "n": "b + 7", "m": "n + 3", "r": "m + 6", "k": "t + 11", "c": "k + 8", "i": "c + 19", "z": "i + 2", "h": "z + 9", "q": "h + 5", "t": 8}, "premises": {"t": 8}, "target": "r"}, "answer": {"steps": [["m", "n + 3", "n + 9"], ["n", "b + 7", "b + 16"], ["b", "j + 11", "j + 27"], ["j", "w + 11", "w + 38"], ["w", "t + 4", "t + 42"], ["t", 8, "50"]], "target_var_name": "r", "target_value": 50, "value_dict": {"t": 8}, "is_reverse": true}}
| 25,107
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = n + 3; w = t + 4; h = z + 9; r = m + 6; t = 8; j = w + 11; q = h + 5; i = c + 19; k = t + 11; n = b + 7; b = j + 11; z = i + 2; c = k + 8. Given that t = 8, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 3 to r, which gives r = n + 9.\n2. Substitute n = b + 7 to r, which gives r = b + 16.\n3. Substitute b = j + 11 to r, which gives r = j + 27.\n4. Substitute j = w + 11 to r, which gives r = w + 38.\n5. Substitute w = t + 4 to r, which gives r = t + 42.\n6. Substitute t = 8 to r, which gives r = 50.\n\nThus, the final answer is r = \\boxed{50}.",
"index": 25107,
"question": "Suppose a collection of variables is related by the following definitions: m = n + 3; w = t + 4; h = z + 9; r = m + 6; t = 8; j = w + 11; q = h + 5; i = c + 19; k = t + 11; n = b + 7; b = j + 11; z = i + 2; c = k + 8. Given that t = 8, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"g": "h + 4", "w": "g + 11", "e": "w + 10", "v": "e + 5", "o": "v + 13", "b": "o + 14", "q": "h + 11", "m": "q + 19", "p": "m + 9", "s": "p + 3", "f": "s + 3", "n": "f + 10", "h": 1}, "premises": {"h": 1}, "target": "b"}, "answer": {"steps": [["o", "v + 13", "v + 27"], ["v", "e + 5", "e + 32"], ["e", "w + 10", "w + 42"], ["w", "g + 11", "g + 53"], ["g", "h + 4", "h + 57"], ["h", 1, "58"]], "target_var_name": "b", "target_value": 58, "value_dict": {"h": 1}, "is_reverse": true}}
| 25,108
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = h + 4; e = w + 10; o = v + 13; s = p + 3; v = e + 5; n = f + 10; p = m + 9; f = s + 3; m = q + 19; b = o + 14; q = h + 11; h = 1; w = g + 11. Given that h = 1, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 13 to b, which gives b = v + 27.\n2. Substitute v = e + 5 to b, which gives b = e + 32.\n3. Substitute e = w + 10 to b, which gives b = w + 42.\n4. Substitute w = g + 11 to b, which gives b = g + 53.\n5. Substitute g = h + 4 to b, which gives b = h + 57.\n6. Substitute h = 1 to b, which gives b = 58.\n\nThus, the final answer is b = \\boxed{58}.",
"index": 25108,
"question": "Suppose a collection of variables is related by the following definitions: g = h + 4; e = w + 10; o = v + 13; s = p + 3; v = e + 5; n = f + 10; p = m + 9; f = s + 3; m = q + 19; b = o + 14; q = h + 11; h = 1; w = g + 11. Given that h = 1, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"l": "s + 12", "o": "l + 15", "p": "o + 13", "n": "p + 18", "f": "n + 16", "i": "f + 9", "z": "s + 3", "d": "z + 15", "a": "d + 12", "u": "a + 2", "g": "u + 9", "x": "g + 17", "s": 1}, "premises": {"s": 1}, "target": "i"}, "answer": {"steps": [["f", "n + 16", "n + 25"], ["n", "p + 18", "p + 43"], ["p", "o + 13", "o + 56"], ["o", "l + 15", "l + 71"], ["l", "s + 12", "s + 83"], ["s", 1, "84"]], "target_var_name": "i", "target_value": 84, "value_dict": {"s": 1}, "is_reverse": true}}
| 25,109
| 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 = d + 12; s = 1; u = a + 2; i = f + 9; d = z + 15; f = n + 16; o = l + 15; g = u + 9; l = s + 12; p = o + 13; n = p + 18; x = g + 17; z = s + 3. If s = 1, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 16 to i, which gives i = n + 25.\n2. Substitute n = p + 18 to i, which gives i = p + 43.\n3. Substitute p = o + 13 to i, which gives i = o + 56.\n4. Substitute o = l + 15 to i, which gives i = l + 71.\n5. Substitute l = s + 12 to i, which gives i = s + 83.\n6. Substitute s = 1 to i, which gives i = 84.\n\nThus, the final answer is i = \\boxed{84}.",
"index": 25109,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = d + 12; s = 1; u = a + 2; i = f + 9; d = z + 15; f = n + 16; o = l + 15; g = u + 9; l = s + 12; p = o + 13; n = p + 18; x = g + 17; z = s + 3. If s = 1, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"k": "g + 1", "s": "k + 10", "i": "s + 9", "q": "i + 20", "d": "q + 20", "x": "d + 16", "p": "g + 10", "o": "p + 20", "w": "o + 12", "z": "w + 9", "n": "z + 3", "j": "n + 7", "g": 9}, "premises": {"g": 9}, "target": "x"}, "answer": {"steps": [["d", "q + 20", "q + 36"], ["q", "i + 20", "i + 56"], ["i", "s + 9", "s + 65"], ["s", "k + 10", "k + 75"], ["k", "g + 1", "g + 76"], ["g", 9, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"g": 9}, "is_reverse": true}}
| 25,110
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 9; n = z + 3; p = g + 10; k = g + 1; g = 9; w = o + 12; j = n + 7; o = p + 20; i = s + 9; d = q + 20; x = d + 16; q = i + 20; s = k + 10. If g = 9, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 20 to x, which gives x = q + 36.\n2. Substitute q = i + 20 to x, which gives x = i + 56.\n3. Substitute i = s + 9 to x, which gives x = s + 65.\n4. Substitute s = k + 10 to x, which gives x = k + 75.\n5. Substitute k = g + 1 to x, which gives x = g + 76.\n6. Substitute g = 9 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 25110,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 9; n = z + 3; p = g + 10; k = g + 1; g = 9; w = o + 12; j = n + 7; o = p + 20; i = s + 9; d = q + 20; x = d + 16; q = i + 20; s = k + 10. If g = 9, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"y": "s + 13", "q": "y + 6", "t": "q + 15", "k": "t + 5", "e": "k + 20", "z": "e + 3", "m": "s + 14", "j": "m + 2", "f": "j + 7", "p": "f + 1", "n": "p + 15", "d": "n + 7", "s": 2}, "premises": {"s": 2}, "target": "z"}, "answer": {"steps": [["e", "k + 20", "k + 23"], ["k", "t + 5", "t + 28"], ["t", "q + 15", "q + 43"], ["q", "y + 6", "y + 49"], ["y", "s + 13", "s + 62"], ["s", 2, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"s": 2}, "is_reverse": true}}
| 25,111
| 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 = f + 1; t = q + 15; n = p + 15; y = s + 13; f = j + 7; m = s + 14; k = t + 5; q = y + 6; e = k + 20; z = e + 3; d = n + 7; s = 2; j = m + 2. If s = 2, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 20 to z, which gives z = k + 23.\n2. Substitute k = t + 5 to z, which gives z = t + 28.\n3. Substitute t = q + 15 to z, which gives z = q + 43.\n4. Substitute q = y + 6 to z, which gives z = y + 49.\n5. Substitute y = s + 13 to z, which gives z = s + 62.\n6. Substitute s = 2 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 25111,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 1; t = q + 15; n = p + 15; y = s + 13; f = j + 7; m = s + 14; k = t + 5; q = y + 6; e = k + 20; z = e + 3; d = n + 7; s = 2; j = m + 2. If s = 2, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"v": "q + 8", "l": "v + 6", "h": "l + 3", "o": "h + 2", "y": "o + 10", "j": "y + 7", "i": "q + 13", "d": "i + 14", "m": "d + 1", "t": "m + 19", "c": "t + 12", "u": "c + 6", "q": 20}, "premises": {"q": 20}, "target": "j"}, "answer": {"steps": [["y", "o + 10", "o + 17"], ["o", "h + 2", "h + 19"], ["h", "l + 3", "l + 22"], ["l", "v + 6", "v + 28"], ["v", "q + 8", "q + 36"], ["q", 20, "56"]], "target_var_name": "j", "target_value": 56, "value_dict": {"q": 20}, "is_reverse": true}}
| 25,112
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = l + 3; l = v + 6; y = o + 10; m = d + 1; v = q + 8; d = i + 14; q = 20; c = t + 12; i = q + 13; t = m + 19; o = h + 2; j = y + 7; u = c + 6. Given that q = 20, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 10 to j, which gives j = o + 17.\n2. Substitute o = h + 2 to j, which gives j = h + 19.\n3. Substitute h = l + 3 to j, which gives j = l + 22.\n4. Substitute l = v + 6 to j, which gives j = v + 28.\n5. Substitute v = q + 8 to j, which gives j = q + 36.\n6. Substitute q = 20 to j, which gives j = 56.\n\nThus, the final answer is j = \\boxed{56}.",
"index": 25112,
"question": "Suppose a collection of variables is related by the following definitions: h = l + 3; l = v + 6; y = o + 10; m = d + 1; v = q + 8; d = i + 14; q = 20; c = t + 12; i = q + 13; t = m + 19; o = h + 2; j = y + 7; u = c + 6. Given that q = 20, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"f": "a + 5", "c": "f + 11", "e": "c + 4", "w": "e + 10", "o": "w + 10", "k": "o + 1", "u": "a + 18", "v": "u + 2", "i": "v + 18", "t": "i + 9", "q": "t + 5", "n": "q + 2", "a": 18}, "premises": {"a": 18}, "target": "k"}, "answer": {"steps": [["o", "w + 10", "w + 11"], ["w", "e + 10", "e + 21"], ["e", "c + 4", "c + 25"], ["c", "f + 11", "f + 36"], ["f", "a + 5", "a + 41"], ["a", 18, "59"]], "target_var_name": "k", "target_value": 59, "value_dict": {"a": 18}, "is_reverse": true}}
| 25,113
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = v + 18; c = f + 11; a = 18; q = t + 5; f = a + 5; n = q + 2; e = c + 4; w = e + 10; k = o + 1; t = i + 9; v = u + 2; o = w + 10; u = a + 18. Given that a = 18, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 10 to k, which gives k = w + 11.\n2. Substitute w = e + 10 to k, which gives k = e + 21.\n3. Substitute e = c + 4 to k, which gives k = c + 25.\n4. Substitute c = f + 11 to k, which gives k = f + 36.\n5. Substitute f = a + 5 to k, which gives k = a + 41.\n6. Substitute a = 18 to k, which gives k = 59.\n\nThus, the final answer is k = \\boxed{59}.",
"index": 25113,
"question": "Suppose a collection of variables is related by the following definitions: i = v + 18; c = f + 11; a = 18; q = t + 5; f = a + 5; n = q + 2; e = c + 4; w = e + 10; k = o + 1; t = i + 9; v = u + 2; o = w + 10; u = a + 18. Given that a = 18, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"v": "u + 4", "g": "v + 10", "a": "g + 13", "c": "a + 8", "b": "c + 17", "x": "b + 9", "e": "u + 17", "y": "e + 4", "k": "y + 17", "m": "k + 17", "p": "m + 6", "h": "p + 19", "u": 14}, "premises": {"u": 14}, "target": "x"}, "answer": {"steps": [["b", "c + 17", "c + 26"], ["c", "a + 8", "a + 34"], ["a", "g + 13", "g + 47"], ["g", "v + 10", "v + 57"], ["v", "u + 4", "u + 61"], ["u", 14, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"u": 14}, "is_reverse": true}}
| 25,114
| 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 = k + 17; g = v + 10; v = u + 4; k = y + 17; y = e + 4; p = m + 6; b = c + 17; h = p + 19; u = 14; e = u + 17; a = g + 13; c = a + 8; x = b + 9. If u = 14, what is the resulting 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 b = c + 17 to x, which gives x = c + 26.\n2. Substitute c = a + 8 to x, which gives x = a + 34.\n3. Substitute a = g + 13 to x, which gives x = g + 47.\n4. Substitute g = v + 10 to x, which gives x = v + 57.\n5. Substitute v = u + 4 to x, which gives x = u + 61.\n6. Substitute u = 14 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 25114,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 17; g = v + 10; v = u + 4; k = y + 17; y = e + 4; p = m + 6; b = c + 17; h = p + 19; u = 14; e = u + 17; a = g + 13; c = a + 8; x = b + 9. If u = 14, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"t": "b + 14", "v": "t + 15", "f": "v + 2", "w": "f + 3", "u": "w + 17", "a": "u + 10", "k": "b + 2", "j": "k + 14", "c": "j + 11", "r": "c + 8", "l": "r + 18", "s": "l + 17", "b": 12}, "premises": {"b": 12}, "target": "a"}, "answer": {"steps": [["u", "w + 17", "w + 27"], ["w", "f + 3", "f + 30"], ["f", "v + 2", "v + 32"], ["v", "t + 15", "t + 47"], ["t", "b + 14", "b + 61"], ["b", 12, "73"]], "target_var_name": "a", "target_value": 73, "value_dict": {"b": 12}, "is_reverse": true}}
| 25,115
| 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; l = r + 18; b = 12; v = t + 15; t = b + 14; j = k + 14; r = c + 8; c = j + 11; s = l + 17; w = f + 3; k = b + 2; f = v + 2; a = u + 10. If b = 12, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 17 to a, which gives a = w + 27.\n2. Substitute w = f + 3 to a, which gives a = f + 30.\n3. Substitute f = v + 2 to a, which gives a = v + 32.\n4. Substitute v = t + 15 to a, which gives a = t + 47.\n5. Substitute t = b + 14 to a, which gives a = b + 61.\n6. Substitute b = 12 to a, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 25115,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = w + 17; l = r + 18; b = 12; v = t + 15; t = b + 14; j = k + 14; r = c + 8; c = j + 11; s = l + 17; w = f + 3; k = b + 2; f = v + 2; a = u + 10. If b = 12, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"p": "h + 8", "x": "p + 15", "r": "x + 18", "o": "r + 6", "y": "o + 13", "e": "y + 11", "u": "h + 6", "v": "u + 4", "l": "v + 6", "q": "l + 6", "s": "q + 4", "w": "s + 2", "h": 10}, "premises": {"h": 10}, "target": "e"}, "answer": {"steps": [["y", "o + 13", "o + 24"], ["o", "r + 6", "r + 30"], ["r", "x + 18", "x + 48"], ["x", "p + 15", "p + 63"], ["p", "h + 8", "h + 71"], ["h", 10, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"h": 10}, "is_reverse": true}}
| 25,116
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = o + 13; v = u + 4; r = x + 18; p = h + 8; x = p + 15; l = v + 6; e = y + 11; o = r + 6; q = l + 6; w = s + 2; u = h + 6; s = q + 4; h = 10. Given that h = 10, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 13 to e, which gives e = o + 24.\n2. Substitute o = r + 6 to e, which gives e = r + 30.\n3. Substitute r = x + 18 to e, which gives e = x + 48.\n4. Substitute x = p + 15 to e, which gives e = p + 63.\n5. Substitute p = h + 8 to e, which gives e = h + 71.\n6. Substitute h = 10 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 25116,
"question": "Suppose a collection of variables is related by the following definitions: y = o + 13; v = u + 4; r = x + 18; p = h + 8; x = p + 15; l = v + 6; e = y + 11; o = r + 6; q = l + 6; w = s + 2; u = h + 6; s = q + 4; h = 10. Given that h = 10, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"w": "k + 7", "g": "w + 9", "o": "g + 1", "r": "o + 12", "x": "r + 12", "f": "x + 20", "c": "k + 5", "z": "c + 12", "b": "z + 9", "n": "b + 11", "a": "n + 1", "t": "a + 3", "k": 7}, "premises": {"k": 7}, "target": "f"}, "answer": {"steps": [["x", "r + 12", "r + 32"], ["r", "o + 12", "o + 44"], ["o", "g + 1", "g + 45"], ["g", "w + 9", "w + 54"], ["w", "k + 7", "k + 61"], ["k", 7, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"k": 7}, "is_reverse": true}}
| 25,117
| 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 = o + 12; o = g + 1; c = k + 5; t = a + 3; b = z + 9; w = k + 7; z = c + 12; f = x + 20; x = r + 12; n = b + 11; g = w + 9; a = n + 1; k = 7. If k = 7, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 12 to f, which gives f = r + 32.\n2. Substitute r = o + 12 to f, which gives f = o + 44.\n3. Substitute o = g + 1 to f, which gives f = g + 45.\n4. Substitute g = w + 9 to f, which gives f = w + 54.\n5. Substitute w = k + 7 to f, which gives f = k + 61.\n6. Substitute k = 7 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 25117,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 12; o = g + 1; c = k + 5; t = a + 3; b = z + 9; w = k + 7; z = c + 12; f = x + 20; x = r + 12; n = b + 11; g = w + 9; a = n + 1; k = 7. If k = 7, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"g": "b + 19", "m": "g + 13", "a": "m + 6", "j": "a + 13", "e": "j + 19", "p": "e + 10", "i": "b + 19", "o": "i + 19", "n": "o + 10", "r": "n + 20", "t": "r + 15", "u": "t + 1", "b": 14}, "premises": {"b": 14}, "target": "p"}, "answer": {"steps": [["e", "j + 19", "j + 29"], ["j", "a + 13", "a + 42"], ["a", "m + 6", "m + 48"], ["m", "g + 13", "g + 61"], ["g", "b + 19", "b + 80"], ["b", 14, "94"]], "target_var_name": "p", "target_value": 94, "value_dict": {"b": 14}, "is_reverse": true}}
| 25,118
| 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 = b + 19; e = j + 19; i = b + 19; o = i + 19; t = r + 15; a = m + 6; j = a + 13; n = o + 10; b = 14; p = e + 10; u = t + 1; r = n + 20; m = g + 13. If b = 14, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 19 to p, which gives p = j + 29.\n2. Substitute j = a + 13 to p, which gives p = a + 42.\n3. Substitute a = m + 6 to p, which gives p = m + 48.\n4. Substitute m = g + 13 to p, which gives p = g + 61.\n5. Substitute g = b + 19 to p, which gives p = b + 80.\n6. Substitute b = 14 to p, which gives p = 94.\n\nThus, the final answer is p = \\boxed{94}.",
"index": 25118,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = b + 19; e = j + 19; i = b + 19; o = i + 19; t = r + 15; a = m + 6; j = a + 13; n = o + 10; b = 14; p = e + 10; u = t + 1; r = n + 20; m = g + 13. If b = 14, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"o": "p + 3", "m": "o + 10", "f": "m + 5", "c": "f + 18", "y": "c + 8", "e": "y + 17", "d": "p + 9", "a": "d + 20", "g": "a + 17", "n": "g + 2", "v": "n + 6", "s": "v + 1", "p": 2}, "premises": {"p": 2}, "target": "e"}, "answer": {"steps": [["y", "c + 8", "c + 25"], ["c", "f + 18", "f + 43"], ["f", "m + 5", "m + 48"], ["m", "o + 10", "o + 58"], ["o", "p + 3", "p + 61"], ["p", 2, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"p": 2}, "is_reverse": true}}
| 25,119
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = y + 17; n = g + 2; s = v + 1; g = a + 17; v = n + 6; m = o + 10; c = f + 18; a = d + 20; d = p + 9; y = c + 8; p = 2; f = m + 5; o = p + 3. If p = 2, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 8 to e, which gives e = c + 25.\n2. Substitute c = f + 18 to e, which gives e = f + 43.\n3. Substitute f = m + 5 to e, which gives e = m + 48.\n4. Substitute m = o + 10 to e, which gives e = o + 58.\n5. Substitute o = p + 3 to e, which gives e = p + 61.\n6. Substitute p = 2 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 25119,
"question": "Consider a system of variables where each variable is defined as follows: e = y + 17; n = g + 2; s = v + 1; g = a + 17; v = n + 6; m = o + 10; c = f + 18; a = d + 20; d = p + 9; y = c + 8; p = 2; f = m + 5; o = p + 3. If p = 2, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"r": "i + 16", "u": "r + 5", "s": "u + 9", "h": "s + 4", "e": "h + 17", "b": "e + 8", "c": "i + 14", "t": "c + 1", "x": "t + 1", "d": "x + 20", "j": "d + 2", "m": "j + 18", "i": 19}, "premises": {"i": 19}, "target": "b"}, "answer": {"steps": [["e", "h + 17", "h + 25"], ["h", "s + 4", "s + 29"], ["s", "u + 9", "u + 38"], ["u", "r + 5", "r + 43"], ["r", "i + 16", "i + 59"], ["i", 19, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"i": 19}, "is_reverse": true}}
| 25,120
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = 19; e = h + 17; t = c + 1; j = d + 2; u = r + 5; d = x + 20; c = i + 14; b = e + 8; s = u + 9; m = j + 18; x = t + 1; h = s + 4; r = i + 16. If i = 19, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 17 to b, which gives b = h + 25.\n2. Substitute h = s + 4 to b, which gives b = s + 29.\n3. Substitute s = u + 9 to b, which gives b = u + 38.\n4. Substitute u = r + 5 to b, which gives b = r + 43.\n5. Substitute r = i + 16 to b, which gives b = i + 59.\n6. Substitute i = 19 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 25120,
"question": "Consider a system of variables where each variable is defined as follows: i = 19; e = h + 17; t = c + 1; j = d + 2; u = r + 5; d = x + 20; c = i + 14; b = e + 8; s = u + 9; m = j + 18; x = t + 1; h = s + 4; r = i + 16. If i = 19, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"k": "g + 11", "w": "k + 2", "i": "w + 14", "e": "i + 6", "x": "e + 2", "c": "x + 19", "o": "g + 15", "q": "o + 13", "s": "q + 3", "b": "s + 3", "a": "b + 2", "f": "a + 2", "g": 11}, "premises": {"g": 11}, "target": "c"}, "answer": {"steps": [["x", "e + 2", "e + 21"], ["e", "i + 6", "i + 27"], ["i", "w + 14", "w + 41"], ["w", "k + 2", "k + 43"], ["k", "g + 11", "g + 54"], ["g", 11, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"g": 11}, "is_reverse": true}}
| 25,121
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = i + 6; o = g + 15; x = e + 2; w = k + 2; k = g + 11; g = 11; b = s + 3; c = x + 19; q = o + 13; f = a + 2; a = b + 2; i = w + 14; s = q + 3. If g = 11, determine 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 x = e + 2 to c, which gives c = e + 21.\n2. Substitute e = i + 6 to c, which gives c = i + 27.\n3. Substitute i = w + 14 to c, which gives c = w + 41.\n4. Substitute w = k + 2 to c, which gives c = k + 43.\n5. Substitute k = g + 11 to c, which gives c = g + 54.\n6. Substitute g = 11 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 25121,
"question": "Consider a system of variables where each variable is defined as follows: e = i + 6; o = g + 15; x = e + 2; w = k + 2; k = g + 11; g = 11; b = s + 3; c = x + 19; q = o + 13; f = a + 2; a = b + 2; i = w + 14; s = q + 3. If g = 11, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"j": "t + 17", "n": "j + 20", "e": "n + 13", "q": "e + 2", "h": "q + 13", "y": "h + 18", "d": "t + 15", "o": "d + 14", "a": "o + 15", "f": "a + 5", "u": "f + 17", "x": "u + 20", "t": 3}, "premises": {"t": 3}, "target": "y"}, "answer": {"steps": [["h", "q + 13", "q + 31"], ["q", "e + 2", "e + 33"], ["e", "n + 13", "n + 46"], ["n", "j + 20", "j + 66"], ["j", "t + 17", "t + 83"], ["t", 3, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"t": 3}, "is_reverse": true}}
| 25,122
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = e + 2; t = 3; f = a + 5; e = n + 13; u = f + 17; n = j + 20; x = u + 20; j = t + 17; o = d + 14; h = q + 13; a = o + 15; y = h + 18; d = t + 15. If t = 3, determine 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 h = q + 13 to y, which gives y = q + 31.\n2. Substitute q = e + 2 to y, which gives y = e + 33.\n3. Substitute e = n + 13 to y, which gives y = n + 46.\n4. Substitute n = j + 20 to y, which gives y = j + 66.\n5. Substitute j = t + 17 to y, which gives y = t + 83.\n6. Substitute t = 3 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 25122,
"question": "Consider a system of variables where each variable is defined as follows: q = e + 2; t = 3; f = a + 5; e = n + 13; u = f + 17; n = j + 20; x = u + 20; j = t + 17; o = d + 14; h = q + 13; a = o + 15; y = h + 18; d = t + 15. If t = 3, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"p": "f + 1", "q": "p + 3", "y": "q + 7", "j": "y + 17", "s": "j + 2", "e": "s + 4", "w": "f + 6", "t": "w + 11", "o": "t + 13", "i": "o + 14", "z": "i + 5", "b": "z + 5", "f": 12}, "premises": {"f": 12}, "target": "e"}, "answer": {"steps": [["s", "j + 2", "j + 6"], ["j", "y + 17", "y + 23"], ["y", "q + 7", "q + 30"], ["q", "p + 3", "p + 33"], ["p", "f + 1", "f + 34"], ["f", 12, "46"]], "target_var_name": "e", "target_value": 46, "value_dict": {"f": 12}, "is_reverse": true}}
| 25,123
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = o + 14; t = w + 11; o = t + 13; y = q + 7; z = i + 5; p = f + 1; b = z + 5; e = s + 4; j = y + 17; f = 12; q = p + 3; s = j + 2; w = f + 6. If f = 12, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 2 to e, which gives e = j + 6.\n2. Substitute j = y + 17 to e, which gives e = y + 23.\n3. Substitute y = q + 7 to e, which gives e = q + 30.\n4. Substitute q = p + 3 to e, which gives e = p + 33.\n5. Substitute p = f + 1 to e, which gives e = f + 34.\n6. Substitute f = 12 to e, which gives e = 46.\n\nThus, the final answer is e = \\boxed{46}.",
"index": 25123,
"question": "Consider a system of variables where each variable is defined as follows: i = o + 14; t = w + 11; o = t + 13; y = q + 7; z = i + 5; p = f + 1; b = z + 5; e = s + 4; j = y + 17; f = 12; q = p + 3; s = j + 2; w = f + 6. If f = 12, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"n": "r + 13", "k": "n + 4", "c": "k + 8", "w": "c + 7", "x": "w + 1", "t": "x + 6", "o": "r + 20", "j": "o + 6", "f": "j + 3", "b": "f + 5", "d": "b + 12", "v": "d + 13", "r": 20}, "premises": {"r": 20}, "target": "t"}, "answer": {"steps": [["x", "w + 1", "w + 7"], ["w", "c + 7", "c + 14"], ["c", "k + 8", "k + 22"], ["k", "n + 4", "n + 26"], ["n", "r + 13", "r + 39"], ["r", 20, "59"]], "target_var_name": "t", "target_value": 59, "value_dict": {"r": 20}, "is_reverse": true}}
| 25,124
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 5; t = x + 6; o = r + 20; f = j + 3; r = 20; v = d + 13; w = c + 7; j = o + 6; c = k + 8; n = r + 13; k = n + 4; x = w + 1; d = b + 12. If r = 20, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 1 to t, which gives t = w + 7.\n2. Substitute w = c + 7 to t, which gives t = c + 14.\n3. Substitute c = k + 8 to t, which gives t = k + 22.\n4. Substitute k = n + 4 to t, which gives t = n + 26.\n5. Substitute n = r + 13 to t, which gives t = r + 39.\n6. Substitute r = 20 to t, which gives t = 59.\n\nThus, the final answer is t = \\boxed{59}.",
"index": 25124,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 5; t = x + 6; o = r + 20; f = j + 3; r = 20; v = d + 13; w = c + 7; j = o + 6; c = k + 8; n = r + 13; k = n + 4; x = w + 1; d = b + 12. If r = 20, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"j": "o + 14", "e": "j + 3", "v": "e + 2", "f": "v + 2", "t": "f + 10", "s": "t + 1", "w": "o + 20", "d": "w + 5", "a": "d + 3", "m": "a + 1", "p": "m + 4", "c": "p + 20", "o": 17}, "premises": {"o": 17}, "target": "s"}, "answer": {"steps": [["t", "f + 10", "f + 11"], ["f", "v + 2", "v + 13"], ["v", "e + 2", "e + 15"], ["e", "j + 3", "j + 18"], ["j", "o + 14", "o + 32"], ["o", 17, "49"]], "target_var_name": "s", "target_value": 49, "value_dict": {"o": 17}, "is_reverse": true}}
| 25,125
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = 17; t = f + 10; v = e + 2; p = m + 4; m = a + 1; d = w + 5; j = o + 14; a = d + 3; e = j + 3; c = p + 20; s = t + 1; f = v + 2; w = o + 20. If o = 17, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = f + 10 to s, which gives s = f + 11.\n2. Substitute f = v + 2 to s, which gives s = v + 13.\n3. Substitute v = e + 2 to s, which gives s = e + 15.\n4. Substitute e = j + 3 to s, which gives s = j + 18.\n5. Substitute j = o + 14 to s, which gives s = o + 32.\n6. Substitute o = 17 to s, which gives s = 49.\n\nThus, the final answer is s = \\boxed{49}.",
"index": 25125,
"question": "Consider a system of variables where each variable is defined as follows: o = 17; t = f + 10; v = e + 2; p = m + 4; m = a + 1; d = w + 5; j = o + 14; a = d + 3; e = j + 3; c = p + 20; s = t + 1; f = v + 2; w = o + 20. If o = 17, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"h": "u + 4", "d": "h + 19", "l": "d + 7", "w": "l + 2", "o": "w + 15", "x": "o + 11", "y": "u + 18", "e": "y + 17", "t": "e + 3", "r": "t + 8", "k": "r + 11", "f": "k + 10", "u": 5}, "premises": {"u": 5}, "target": "x"}, "answer": {"steps": [["o", "w + 15", "w + 26"], ["w", "l + 2", "l + 28"], ["l", "d + 7", "d + 35"], ["d", "h + 19", "h + 54"], ["h", "u + 4", "u + 58"], ["u", 5, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"u": 5}, "is_reverse": true}}
| 25,126
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = h + 19; u = 5; r = t + 8; x = o + 11; f = k + 10; w = l + 2; y = u + 18; h = u + 4; k = r + 11; o = w + 15; l = d + 7; t = e + 3; e = y + 17. If u = 5, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 15 to x, which gives x = w + 26.\n2. Substitute w = l + 2 to x, which gives x = l + 28.\n3. Substitute l = d + 7 to x, which gives x = d + 35.\n4. Substitute d = h + 19 to x, which gives x = h + 54.\n5. Substitute h = u + 4 to x, which gives x = u + 58.\n6. Substitute u = 5 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 25126,
"question": "Consider a system of variables where each variable is defined as follows: d = h + 19; u = 5; r = t + 8; x = o + 11; f = k + 10; w = l + 2; y = u + 18; h = u + 4; k = r + 11; o = w + 15; l = d + 7; t = e + 3; e = y + 17. If u = 5, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"x": "a + 20", "i": "x + 6", "j": "i + 9", "l": "j + 18", "y": "l + 12", "z": "y + 17", "h": "a + 14", "k": "h + 11", "p": "k + 1", "o": "p + 9", "v": "o + 2", "g": "v + 10", "a": 3}, "premises": {"a": 3}, "target": "z"}, "answer": {"steps": [["y", "l + 12", "l + 29"], ["l", "j + 18", "j + 47"], ["j", "i + 9", "i + 56"], ["i", "x + 6", "x + 62"], ["x", "a + 20", "a + 82"], ["a", 3, "85"]], "target_var_name": "z", "target_value": 85, "value_dict": {"a": 3}, "is_reverse": true}}
| 25,127
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = h + 11; i = x + 6; x = a + 20; a = 3; j = i + 9; h = a + 14; z = y + 17; p = k + 1; g = v + 10; o = p + 9; v = o + 2; y = l + 12; l = j + 18. If a = 3, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 12 to z, which gives z = l + 29.\n2. Substitute l = j + 18 to z, which gives z = j + 47.\n3. Substitute j = i + 9 to z, which gives z = i + 56.\n4. Substitute i = x + 6 to z, which gives z = x + 62.\n5. Substitute x = a + 20 to z, which gives z = a + 82.\n6. Substitute a = 3 to z, which gives z = 85.\n\nThus, the final answer is z = \\boxed{85}.",
"index": 25127,
"question": "Consider a system of variables where each variable is defined as follows: k = h + 11; i = x + 6; x = a + 20; a = 3; j = i + 9; h = a + 14; z = y + 17; p = k + 1; g = v + 10; o = p + 9; v = o + 2; y = l + 12; l = j + 18. If a = 3, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"w": "i + 8", "q": "w + 5", "b": "q + 10", "a": "b + 13", "f": "a + 2", "z": "f + 2", "x": "i + 9", "c": "x + 14", "t": "c + 3", "n": "t + 11", "l": "n + 2", "o": "l + 15", "i": 15}, "premises": {"i": 15}, "target": "z"}, "answer": {"steps": [["f", "a + 2", "a + 4"], ["a", "b + 13", "b + 17"], ["b", "q + 10", "q + 27"], ["q", "w + 5", "w + 32"], ["w", "i + 8", "i + 40"], ["i", 15, "55"]], "target_var_name": "z", "target_value": 55, "value_dict": {"i": 15}, "is_reverse": true}}
| 25,128
| 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 = i + 8; b = q + 10; o = l + 15; c = x + 14; i = 15; n = t + 11; l = n + 2; t = c + 3; z = f + 2; x = i + 9; q = w + 5; a = b + 13; f = a + 2. If i = 15, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 2 to z, which gives z = a + 4.\n2. Substitute a = b + 13 to z, which gives z = b + 17.\n3. Substitute b = q + 10 to z, which gives z = q + 27.\n4. Substitute q = w + 5 to z, which gives z = w + 32.\n5. Substitute w = i + 8 to z, which gives z = i + 40.\n6. Substitute i = 15 to z, which gives z = 55.\n\nThus, the final answer is z = \\boxed{55}.",
"index": 25128,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = i + 8; b = q + 10; o = l + 15; c = x + 14; i = 15; n = t + 11; l = n + 2; t = c + 3; z = f + 2; x = i + 9; q = w + 5; a = b + 13; f = a + 2. If i = 15, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"n": "a + 14", "c": "n + 4", "x": "c + 6", "o": "x + 16", "u": "o + 7", "h": "u + 17", "g": "a + 3", "m": "g + 13", "w": "m + 19", "r": "w + 6", "d": "r + 8", "f": "d + 7", "a": 6}, "premises": {"a": 6}, "target": "h"}, "answer": {"steps": [["u", "o + 7", "o + 24"], ["o", "x + 16", "x + 40"], ["x", "c + 6", "c + 46"], ["c", "n + 4", "n + 50"], ["n", "a + 14", "a + 64"], ["a", 6, "70"]], "target_var_name": "h", "target_value": 70, "value_dict": {"a": 6}, "is_reverse": true}}
| 25,129
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = a + 14; x = c + 6; m = g + 13; d = r + 8; o = x + 16; a = 6; h = u + 17; g = a + 3; w = m + 19; u = o + 7; f = d + 7; c = n + 4; r = w + 6. If a = 6, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 7 to h, which gives h = o + 24.\n2. Substitute o = x + 16 to h, which gives h = x + 40.\n3. Substitute x = c + 6 to h, which gives h = c + 46.\n4. Substitute c = n + 4 to h, which gives h = n + 50.\n5. Substitute n = a + 14 to h, which gives h = a + 64.\n6. Substitute a = 6 to h, which gives h = 70.\n\nThus, the final answer is h = \\boxed{70}.",
"index": 25129,
"question": "Consider a system of variables where each variable is defined as follows: n = a + 14; x = c + 6; m = g + 13; d = r + 8; o = x + 16; a = 6; h = u + 17; g = a + 3; w = m + 19; u = o + 7; f = d + 7; c = n + 4; r = w + 6. If a = 6, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"b": "q + 18", "x": "b + 19", "f": "x + 4", "m": "f + 8", "c": "m + 15", "z": "c + 10", "s": "q + 12", "r": "s + 9", "t": "r + 5", "o": "t + 20", "v": "o + 6", "g": "v + 7", "q": 17}, "premises": {"q": 17}, "target": "z"}, "answer": {"steps": [["c", "m + 15", "m + 25"], ["m", "f + 8", "f + 33"], ["f", "x + 4", "x + 37"], ["x", "b + 19", "b + 56"], ["b", "q + 18", "q + 74"], ["q", 17, "91"]], "target_var_name": "z", "target_value": 91, "value_dict": {"q": 17}, "is_reverse": true}}
| 25,130
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = r + 5; z = c + 10; q = 17; c = m + 15; b = q + 18; v = o + 6; m = f + 8; g = v + 7; f = x + 4; r = s + 9; x = b + 19; o = t + 20; s = q + 12. Given that q = 17, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 15 to z, which gives z = m + 25.\n2. Substitute m = f + 8 to z, which gives z = f + 33.\n3. Substitute f = x + 4 to z, which gives z = x + 37.\n4. Substitute x = b + 19 to z, which gives z = b + 56.\n5. Substitute b = q + 18 to z, which gives z = q + 74.\n6. Substitute q = 17 to z, which gives z = 91.\n\nThus, the final answer is z = \\boxed{91}.",
"index": 25130,
"question": "Suppose a collection of variables is related by the following definitions: t = r + 5; z = c + 10; q = 17; c = m + 15; b = q + 18; v = o + 6; m = f + 8; g = v + 7; f = x + 4; r = s + 9; x = b + 19; o = t + 20; s = q + 12. Given that q = 17, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"w": "x + 5", "j": "w + 3", "t": "j + 14", "m": "t + 2", "v": "m + 18", "b": "v + 20", "s": "x + 16", "e": "s + 18", "n": "e + 8", "i": "n + 1", "g": "i + 5", "d": "g + 15", "x": 12}, "premises": {"x": 12}, "target": "b"}, "answer": {"steps": [["v", "m + 18", "m + 38"], ["m", "t + 2", "t + 40"], ["t", "j + 14", "j + 54"], ["j", "w + 3", "w + 57"], ["w", "x + 5", "x + 62"], ["x", 12, "74"]], "target_var_name": "b", "target_value": 74, "value_dict": {"x": 12}, "is_reverse": true}}
| 25,131
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = s + 18; v = m + 18; x = 12; t = j + 14; g = i + 5; d = g + 15; b = v + 20; i = n + 1; w = x + 5; s = x + 16; n = e + 8; j = w + 3; m = t + 2. If x = 12, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 18 to b, which gives b = m + 38.\n2. Substitute m = t + 2 to b, which gives b = t + 40.\n3. Substitute t = j + 14 to b, which gives b = j + 54.\n4. Substitute j = w + 3 to b, which gives b = w + 57.\n5. Substitute w = x + 5 to b, which gives b = x + 62.\n6. Substitute x = 12 to b, which gives b = 74.\n\nThus, the final answer is b = \\boxed{74}.",
"index": 25131,
"question": "Consider a system of variables where each variable is defined as follows: e = s + 18; v = m + 18; x = 12; t = j + 14; g = i + 5; d = g + 15; b = v + 20; i = n + 1; w = x + 5; s = x + 16; n = e + 8; j = w + 3; m = t + 2. If x = 12, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"m": "o + 14", "f": "m + 19", "i": "f + 7", "y": "i + 20", "j": "y + 17", "u": "j + 5", "h": "o + 18", "d": "h + 6", "v": "d + 3", "w": "v + 5", "e": "w + 19", "k": "e + 11", "o": 8}, "premises": {"o": 8}, "target": "u"}, "answer": {"steps": [["j", "y + 17", "y + 22"], ["y", "i + 20", "i + 42"], ["i", "f + 7", "f + 49"], ["f", "m + 19", "m + 68"], ["m", "o + 14", "o + 82"], ["o", 8, "90"]], "target_var_name": "u", "target_value": 90, "value_dict": {"o": 8}, "is_reverse": true}}
| 25,132
| 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 = w + 19; d = h + 6; v = d + 3; h = o + 18; m = o + 14; j = y + 17; u = j + 5; o = 8; y = i + 20; w = v + 5; f = m + 19; i = f + 7; k = e + 11. If o = 8, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 17 to u, which gives u = y + 22.\n2. Substitute y = i + 20 to u, which gives u = i + 42.\n3. Substitute i = f + 7 to u, which gives u = f + 49.\n4. Substitute f = m + 19 to u, which gives u = m + 68.\n5. Substitute m = o + 14 to u, which gives u = o + 82.\n6. Substitute o = 8 to u, which gives u = 90.\n\nThus, the final answer is u = \\boxed{90}.",
"index": 25132,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 19; d = h + 6; v = d + 3; h = o + 18; m = o + 14; j = y + 17; u = j + 5; o = 8; y = i + 20; w = v + 5; f = m + 19; i = f + 7; k = e + 11. If o = 8, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"k": "w + 6", "z": "k + 14", "m": "z + 16", "d": "m + 5", "y": "d + 6", "q": "y + 18", "n": "w + 3", "e": "n + 7", "o": "e + 18", "b": "o + 16", "t": "b + 9", "s": "t + 12", "w": 18}, "premises": {"w": 18}, "target": "q"}, "answer": {"steps": [["y", "d + 6", "d + 24"], ["d", "m + 5", "m + 29"], ["m", "z + 16", "z + 45"], ["z", "k + 14", "k + 59"], ["k", "w + 6", "w + 65"], ["w", 18, "83"]], "target_var_name": "q", "target_value": 83, "value_dict": {"w": 18}, "is_reverse": true}}
| 25,133
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = t + 12; k = w + 6; n = w + 3; m = z + 16; z = k + 14; t = b + 9; e = n + 7; b = o + 16; q = y + 18; d = m + 5; o = e + 18; y = d + 6; w = 18. Given that w = 18, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 6 to q, which gives q = d + 24.\n2. Substitute d = m + 5 to q, which gives q = m + 29.\n3. Substitute m = z + 16 to q, which gives q = z + 45.\n4. Substitute z = k + 14 to q, which gives q = k + 59.\n5. Substitute k = w + 6 to q, which gives q = w + 65.\n6. Substitute w = 18 to q, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 25133,
"question": "Suppose a collection of variables is related by the following definitions: s = t + 12; k = w + 6; n = w + 3; m = z + 16; z = k + 14; t = b + 9; e = n + 7; b = o + 16; q = y + 18; d = m + 5; o = e + 18; y = d + 6; w = 18. Given that w = 18, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"z": "s + 5", "u": "z + 20", "x": "u + 7", "o": "x + 20", "t": "o + 10", "p": "t + 11", "m": "s + 10", "y": "m + 16", "n": "y + 1", "i": "n + 4", "j": "i + 8", "g": "j + 6", "s": 10}, "premises": {"s": 10}, "target": "p"}, "answer": {"steps": [["t", "o + 10", "o + 21"], ["o", "x + 20", "x + 41"], ["x", "u + 7", "u + 48"], ["u", "z + 20", "z + 68"], ["z", "s + 5", "s + 73"], ["s", 10, "83"]], "target_var_name": "p", "target_value": 83, "value_dict": {"s": 10}, "is_reverse": true}}
| 25,134
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 6; j = i + 8; o = x + 20; n = y + 1; y = m + 16; u = z + 20; z = s + 5; x = u + 7; m = s + 10; s = 10; p = t + 11; t = o + 10; i = n + 4. Given that s = 10, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 10 to p, which gives p = o + 21.\n2. Substitute o = x + 20 to p, which gives p = x + 41.\n3. Substitute x = u + 7 to p, which gives p = u + 48.\n4. Substitute u = z + 20 to p, which gives p = z + 68.\n5. Substitute z = s + 5 to p, which gives p = s + 73.\n6. Substitute s = 10 to p, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 25134,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 6; j = i + 8; o = x + 20; n = y + 1; y = m + 16; u = z + 20; z = s + 5; x = u + 7; m = s + 10; s = 10; p = t + 11; t = o + 10; i = n + 4. Given that s = 10, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"n": "r + 20", "a": "n + 16", "c": "a + 9", "k": "c + 4", "y": "k + 14", "t": "y + 17", "j": "r + 10", "p": "j + 9", "e": "p + 5", "s": "e + 7", "i": "s + 10", "l": "i + 13", "r": 17}, "premises": {"r": 17}, "target": "t"}, "answer": {"steps": [["y", "k + 14", "k + 31"], ["k", "c + 4", "c + 35"], ["c", "a + 9", "a + 44"], ["a", "n + 16", "n + 60"], ["n", "r + 20", "r + 80"], ["r", 17, "97"]], "target_var_name": "t", "target_value": 97, "value_dict": {"r": 17}, "is_reverse": true}}
| 25,135
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = r + 10; e = p + 5; c = a + 9; k = c + 4; r = 17; n = r + 20; s = e + 7; i = s + 10; a = n + 16; t = y + 17; l = i + 13; y = k + 14; p = j + 9. Given that r = 17, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 14 to t, which gives t = k + 31.\n2. Substitute k = c + 4 to t, which gives t = c + 35.\n3. Substitute c = a + 9 to t, which gives t = a + 44.\n4. Substitute a = n + 16 to t, which gives t = n + 60.\n5. Substitute n = r + 20 to t, which gives t = r + 80.\n6. Substitute r = 17 to t, which gives t = 97.\n\nThus, the final answer is t = \\boxed{97}.",
"index": 25135,
"question": "Suppose a collection of variables is related by the following definitions: j = r + 10; e = p + 5; c = a + 9; k = c + 4; r = 17; n = r + 20; s = e + 7; i = s + 10; a = n + 16; t = y + 17; l = i + 13; y = k + 14; p = j + 9. Given that r = 17, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"f": "p + 6", "s": "f + 12", "w": "s + 9", "u": "w + 18", "h": "u + 3", "n": "h + 2", "l": "p + 2", "k": "l + 10", "y": "k + 19", "c": "y + 14", "z": "c + 14", "x": "z + 10", "p": 18}, "premises": {"p": 18}, "target": "n"}, "answer": {"steps": [["h", "u + 3", "u + 5"], ["u", "w + 18", "w + 23"], ["w", "s + 9", "s + 32"], ["s", "f + 12", "f + 44"], ["f", "p + 6", "p + 50"], ["p", 18, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"p": 18}, "is_reverse": true}}
| 25,136
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = l + 10; u = w + 18; z = c + 14; w = s + 9; c = y + 14; f = p + 6; s = f + 12; y = k + 19; x = z + 10; p = 18; n = h + 2; l = p + 2; h = u + 3. If p = 18, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 3 to n, which gives n = u + 5.\n2. Substitute u = w + 18 to n, which gives n = w + 23.\n3. Substitute w = s + 9 to n, which gives n = s + 32.\n4. Substitute s = f + 12 to n, which gives n = f + 44.\n5. Substitute f = p + 6 to n, which gives n = p + 50.\n6. Substitute p = 18 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 25136,
"question": "Consider a system of variables where each variable is defined as follows: k = l + 10; u = w + 18; z = c + 14; w = s + 9; c = y + 14; f = p + 6; s = f + 12; y = k + 19; x = z + 10; p = 18; n = h + 2; l = p + 2; h = u + 3. If p = 18, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"k": "s + 4", "l": "k + 10", "u": "l + 12", "f": "u + 15", "d": "f + 14", "q": "d + 16", "o": "s + 18", "n": "o + 10", "g": "n + 5", "e": "g + 9", "j": "e + 9", "m": "j + 19", "s": 10}, "premises": {"s": 10}, "target": "q"}, "answer": {"steps": [["d", "f + 14", "f + 30"], ["f", "u + 15", "u + 45"], ["u", "l + 12", "l + 57"], ["l", "k + 10", "k + 67"], ["k", "s + 4", "s + 71"], ["s", 10, "81"]], "target_var_name": "q", "target_value": 81, "value_dict": {"s": 10}, "is_reverse": true}}
| 25,137
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = n + 5; m = j + 19; n = o + 10; d = f + 14; e = g + 9; j = e + 9; o = s + 18; u = l + 12; k = s + 4; q = d + 16; f = u + 15; s = 10; l = k + 10. If s = 10, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 14 to q, which gives q = f + 30.\n2. Substitute f = u + 15 to q, which gives q = u + 45.\n3. Substitute u = l + 12 to q, which gives q = l + 57.\n4. Substitute l = k + 10 to q, which gives q = k + 67.\n5. Substitute k = s + 4 to q, which gives q = s + 71.\n6. Substitute s = 10 to q, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 25137,
"question": "Consider a system of variables where each variable is defined as follows: g = n + 5; m = j + 19; n = o + 10; d = f + 14; e = g + 9; j = e + 9; o = s + 18; u = l + 12; k = s + 4; q = d + 16; f = u + 15; s = 10; l = k + 10. If s = 10, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"r": "f + 12", "m": "r + 7", "w": "m + 13", "q": "w + 6", "y": "q + 19", "s": "y + 6", "c": "f + 16", "e": "c + 8", "l": "e + 18", "d": "l + 16", "g": "d + 5", "a": "g + 3", "f": 9}, "premises": {"f": 9}, "target": "s"}, "answer": {"steps": [["y", "q + 19", "q + 25"], ["q", "w + 6", "w + 31"], ["w", "m + 13", "m + 44"], ["m", "r + 7", "r + 51"], ["r", "f + 12", "f + 63"], ["f", 9, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"f": 9}, "is_reverse": true}}
| 25,138
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = w + 6; m = r + 7; l = e + 18; e = c + 8; s = y + 6; w = m + 13; d = l + 16; c = f + 16; a = g + 3; f = 9; g = d + 5; y = q + 19; r = f + 12. If f = 9, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 19 to s, which gives s = q + 25.\n2. Substitute q = w + 6 to s, which gives s = w + 31.\n3. Substitute w = m + 13 to s, which gives s = m + 44.\n4. Substitute m = r + 7 to s, which gives s = r + 51.\n5. Substitute r = f + 12 to s, which gives s = f + 63.\n6. Substitute f = 9 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 25138,
"question": "Consider a system of variables where each variable is defined as follows: q = w + 6; m = r + 7; l = e + 18; e = c + 8; s = y + 6; w = m + 13; d = l + 16; c = f + 16; a = g + 3; f = 9; g = d + 5; y = q + 19; r = f + 12. If f = 9, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"x": "v + 17", "f": "x + 20", "r": "f + 20", "g": "r + 15", "l": "g + 4", "a": "l + 6", "z": "v + 2", "o": "z + 19", "d": "o + 16", "b": "d + 2", "n": "b + 6", "t": "n + 10", "v": 6}, "premises": {"v": 6}, "target": "a"}, "answer": {"steps": [["l", "g + 4", "g + 10"], ["g", "r + 15", "r + 25"], ["r", "f + 20", "f + 45"], ["f", "x + 20", "x + 65"], ["x", "v + 17", "v + 82"], ["v", 6, "88"]], "target_var_name": "a", "target_value": 88, "value_dict": {"v": 6}, "is_reverse": true}}
| 25,139
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = x + 20; l = g + 4; b = d + 2; v = 6; o = z + 19; r = f + 20; g = r + 15; t = n + 10; z = v + 2; a = l + 6; n = b + 6; d = o + 16; x = v + 17. If v = 6, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 4 to a, which gives a = g + 10.\n2. Substitute g = r + 15 to a, which gives a = r + 25.\n3. Substitute r = f + 20 to a, which gives a = f + 45.\n4. Substitute f = x + 20 to a, which gives a = x + 65.\n5. Substitute x = v + 17 to a, which gives a = v + 82.\n6. Substitute v = 6 to a, which gives a = 88.\n\nThus, the final answer is a = \\boxed{88}.",
"index": 25139,
"question": "Consider a system of variables where each variable is defined as follows: f = x + 20; l = g + 4; b = d + 2; v = 6; o = z + 19; r = f + 20; g = r + 15; t = n + 10; z = v + 2; a = l + 6; n = b + 6; d = o + 16; x = v + 17. If v = 6, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"v": "i + 10", "t": "v + 10", "o": "t + 16", "f": "o + 10", "l": "f + 2", "p": "l + 20", "n": "i + 2", "m": "n + 19", "a": "m + 2", "k": "a + 5", "j": "k + 19", "h": "j + 9", "i": 4}, "premises": {"i": 4}, "target": "p"}, "answer": {"steps": [["l", "f + 2", "f + 22"], ["f", "o + 10", "o + 32"], ["o", "t + 16", "t + 48"], ["t", "v + 10", "v + 58"], ["v", "i + 10", "i + 68"], ["i", 4, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"i": 4}, "is_reverse": true}}
| 25,140
| 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 = f + 2; k = a + 5; v = i + 10; h = j + 9; m = n + 19; o = t + 16; j = k + 19; a = m + 2; f = o + 10; t = v + 10; p = l + 20; i = 4; n = i + 2. If i = 4, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 2 to p, which gives p = f + 22.\n2. Substitute f = o + 10 to p, which gives p = o + 32.\n3. Substitute o = t + 16 to p, which gives p = t + 48.\n4. Substitute t = v + 10 to p, which gives p = v + 58.\n5. Substitute v = i + 10 to p, which gives p = i + 68.\n6. Substitute i = 4 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 25140,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 2; k = a + 5; v = i + 10; h = j + 9; m = n + 19; o = t + 16; j = k + 19; a = m + 2; f = o + 10; t = v + 10; p = l + 20; i = 4; n = i + 2. If i = 4, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"m": "i + 14", "f": "m + 5", "l": "f + 6", "p": "l + 17", "x": "p + 17", "o": "x + 5", "z": "i + 4", "q": "z + 2", "k": "q + 10", "u": "k + 17", "g": "u + 10", "n": "g + 4", "i": 8}, "premises": {"i": 8}, "target": "o"}, "answer": {"steps": [["x", "p + 17", "p + 22"], ["p", "l + 17", "l + 39"], ["l", "f + 6", "f + 45"], ["f", "m + 5", "m + 50"], ["m", "i + 14", "i + 64"], ["i", 8, "72"]], "target_var_name": "o", "target_value": 72, "value_dict": {"i": 8}, "is_reverse": true}}
| 25,141
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = g + 4; m = i + 14; k = q + 10; i = 8; u = k + 17; g = u + 10; q = z + 2; o = x + 5; l = f + 6; x = p + 17; p = l + 17; z = i + 4; f = m + 5. If i = 8, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 17 to o, which gives o = p + 22.\n2. Substitute p = l + 17 to o, which gives o = l + 39.\n3. Substitute l = f + 6 to o, which gives o = f + 45.\n4. Substitute f = m + 5 to o, which gives o = m + 50.\n5. Substitute m = i + 14 to o, which gives o = i + 64.\n6. Substitute i = 8 to o, which gives o = 72.\n\nThus, the final answer is o = \\boxed{72}.",
"index": 25141,
"question": "Consider a system of variables where each variable is defined as follows: n = g + 4; m = i + 14; k = q + 10; i = 8; u = k + 17; g = u + 10; q = z + 2; o = x + 5; l = f + 6; x = p + 17; p = l + 17; z = i + 4; f = m + 5. If i = 8, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"v": "r + 3", "c": "v + 2", "n": "c + 20", "e": "n + 19", "p": "e + 17", "g": "p + 16", "m": "r + 19", "b": "m + 10", "y": "b + 2", "i": "y + 3", "q": "i + 19", "x": "q + 15", "r": 10}, "premises": {"r": 10}, "target": "g"}, "answer": {"steps": [["p", "e + 17", "e + 33"], ["e", "n + 19", "n + 52"], ["n", "c + 20", "c + 72"], ["c", "v + 2", "v + 74"], ["v", "r + 3", "r + 77"], ["r", 10, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"r": 10}, "is_reverse": true}}
| 25,142
| 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 = r + 3; e = n + 19; r = 10; x = q + 15; p = e + 17; b = m + 10; q = i + 19; c = v + 2; g = p + 16; n = c + 20; m = r + 19; y = b + 2; i = y + 3. If r = 10, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 17 to g, which gives g = e + 33.\n2. Substitute e = n + 19 to g, which gives g = n + 52.\n3. Substitute n = c + 20 to g, which gives g = c + 72.\n4. Substitute c = v + 2 to g, which gives g = v + 74.\n5. Substitute v = r + 3 to g, which gives g = r + 77.\n6. Substitute r = 10 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 25142,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = r + 3; e = n + 19; r = 10; x = q + 15; p = e + 17; b = m + 10; q = i + 19; c = v + 2; g = p + 16; n = c + 20; m = r + 19; y = b + 2; i = y + 3. If r = 10, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"c": "l + 1", "y": "c + 16", "x": "y + 20", "i": "x + 16", "w": "i + 17", "d": "w + 5", "q": "l + 2", "z": "q + 16", "v": "z + 6", "u": "v + 18", "s": "u + 9", "f": "s + 15", "l": 2}, "premises": {"l": 2}, "target": "d"}, "answer": {"steps": [["w", "i + 17", "i + 22"], ["i", "x + 16", "x + 38"], ["x", "y + 20", "y + 58"], ["y", "c + 16", "c + 74"], ["c", "l + 1", "l + 75"], ["l", 2, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"l": 2}, "is_reverse": true}}
| 25,143
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 20; s = u + 9; f = s + 15; i = x + 16; w = i + 17; v = z + 6; l = 2; z = q + 16; q = l + 2; c = l + 1; d = w + 5; u = v + 18; y = c + 16. Given that l = 2, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 17 to d, which gives d = i + 22.\n2. Substitute i = x + 16 to d, which gives d = x + 38.\n3. Substitute x = y + 20 to d, which gives d = y + 58.\n4. Substitute y = c + 16 to d, which gives d = c + 74.\n5. Substitute c = l + 1 to d, which gives d = l + 75.\n6. Substitute l = 2 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 25143,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 20; s = u + 9; f = s + 15; i = x + 16; w = i + 17; v = z + 6; l = 2; z = q + 16; q = l + 2; c = l + 1; d = w + 5; u = v + 18; y = c + 16. Given that l = 2, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 19", "o": "m + 9", "g": "o + 5", "h": "g + 15", "z": "h + 13", "q": "z + 10", "k": "x + 7", "i": "k + 3", "a": "i + 13", "c": "a + 15", "u": "c + 16", "b": "u + 18", "x": 17}, "premises": {"x": 17}, "target": "q"}, "answer": {"steps": [["z", "h + 13", "h + 23"], ["h", "g + 15", "g + 38"], ["g", "o + 5", "o + 43"], ["o", "m + 9", "m + 52"], ["m", "x + 19", "x + 71"], ["x", 17, "88"]], "target_var_name": "q", "target_value": 88, "value_dict": {"x": 17}, "is_reverse": true}}
| 25,144
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = a + 15; z = h + 13; o = m + 9; x = 17; m = x + 19; a = i + 13; h = g + 15; k = x + 7; q = z + 10; u = c + 16; i = k + 3; b = u + 18; g = o + 5. If x = 17, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 13 to q, which gives q = h + 23.\n2. Substitute h = g + 15 to q, which gives q = g + 38.\n3. Substitute g = o + 5 to q, which gives q = o + 43.\n4. Substitute o = m + 9 to q, which gives q = m + 52.\n5. Substitute m = x + 19 to q, which gives q = x + 71.\n6. Substitute x = 17 to q, which gives q = 88.\n\nThus, the final answer is q = \\boxed{88}.",
"index": 25144,
"question": "Consider a system of variables where each variable is defined as follows: c = a + 15; z = h + 13; o = m + 9; x = 17; m = x + 19; a = i + 13; h = g + 15; k = x + 7; q = z + 10; u = c + 16; i = k + 3; b = u + 18; g = o + 5. If x = 17, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"w": "g + 17", "v": "w + 12", "y": "v + 4", "j": "y + 2", "c": "j + 1", "o": "c + 3", "n": "g + 5", "i": "n + 14", "x": "i + 11", "q": "x + 14", "k": "q + 9", "z": "k + 12", "g": 4}, "premises": {"g": 4}, "target": "o"}, "answer": {"steps": [["c", "j + 1", "j + 4"], ["j", "y + 2", "y + 6"], ["y", "v + 4", "v + 10"], ["v", "w + 12", "w + 22"], ["w", "g + 17", "g + 39"], ["g", 4, "43"]], "target_var_name": "o", "target_value": 43, "value_dict": {"g": 4}, "is_reverse": true}}
| 25,145
| 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 + 12; n = g + 5; w = g + 17; i = n + 14; x = i + 11; c = j + 1; v = w + 12; g = 4; y = v + 4; q = x + 14; j = y + 2; o = c + 3; k = q + 9. If g = 4, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 1 to o, which gives o = j + 4.\n2. Substitute j = y + 2 to o, which gives o = y + 6.\n3. Substitute y = v + 4 to o, which gives o = v + 10.\n4. Substitute v = w + 12 to o, which gives o = w + 22.\n5. Substitute w = g + 17 to o, which gives o = g + 39.\n6. Substitute g = 4 to o, which gives o = 43.\n\nThus, the final answer is o = \\boxed{43}.",
"index": 25145,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = k + 12; n = g + 5; w = g + 17; i = n + 14; x = i + 11; c = j + 1; v = w + 12; g = 4; y = v + 4; q = x + 14; j = y + 2; o = c + 3; k = q + 9. If g = 4, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"r": "x + 19", "y": "r + 1", "h": "y + 2", "a": "h + 20", "f": "a + 20", "w": "f + 6", "d": "x + 3", "p": "d + 19", "z": "p + 7", "k": "z + 14", "i": "k + 8", "j": "i + 3", "x": 15}, "premises": {"x": 15}, "target": "w"}, "answer": {"steps": [["f", "a + 20", "a + 26"], ["a", "h + 20", "h + 46"], ["h", "y + 2", "y + 48"], ["y", "r + 1", "r + 49"], ["r", "x + 19", "x + 68"], ["x", 15, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"x": 15}, "is_reverse": true}}
| 25,146
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 19; r = x + 19; i = k + 8; w = f + 6; k = z + 14; y = r + 1; x = 15; j = i + 3; z = p + 7; d = x + 3; a = h + 20; h = y + 2; f = a + 20. If x = 15, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 20 to w, which gives w = a + 26.\n2. Substitute a = h + 20 to w, which gives w = h + 46.\n3. Substitute h = y + 2 to w, which gives w = y + 48.\n4. Substitute y = r + 1 to w, which gives w = r + 49.\n5. Substitute r = x + 19 to w, which gives w = x + 68.\n6. Substitute x = 15 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 25146,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 19; r = x + 19; i = k + 8; w = f + 6; k = z + 14; y = r + 1; x = 15; j = i + 3; z = p + 7; d = x + 3; a = h + 20; h = y + 2; f = a + 20. If x = 15, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"z": "u + 14", "t": "z + 17", "a": "t + 16", "e": "a + 15", "h": "e + 1", "r": "h + 1", "o": "u + 6", "j": "o + 8", "g": "j + 2", "v": "g + 1", "c": "v + 11", "d": "c + 11", "u": 16}, "premises": {"u": 16}, "target": "r"}, "answer": {"steps": [["h", "e + 1", "e + 2"], ["e", "a + 15", "a + 17"], ["a", "t + 16", "t + 33"], ["t", "z + 17", "z + 50"], ["z", "u + 14", "u + 64"], ["u", 16, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"u": 16}, "is_reverse": true}}
| 25,147
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = v + 11; r = h + 1; d = c + 11; h = e + 1; a = t + 16; z = u + 14; o = u + 6; g = j + 2; e = a + 15; t = z + 17; j = o + 8; u = 16; v = g + 1. If u = 16, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 1 to r, which gives r = e + 2.\n2. Substitute e = a + 15 to r, which gives r = a + 17.\n3. Substitute a = t + 16 to r, which gives r = t + 33.\n4. Substitute t = z + 17 to r, which gives r = z + 50.\n5. Substitute z = u + 14 to r, which gives r = u + 64.\n6. Substitute u = 16 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 25147,
"question": "Consider a system of variables where each variable is defined as follows: c = v + 11; r = h + 1; d = c + 11; h = e + 1; a = t + 16; z = u + 14; o = u + 6; g = j + 2; e = a + 15; t = z + 17; j = o + 8; u = 16; v = g + 1. If u = 16, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"u": "s + 11", "x": "u + 20", "a": "x + 16", "h": "a + 14", "w": "h + 12", "j": "w + 7", "v": "s + 14", "g": "v + 9", "i": "g + 2", "l": "i + 15", "p": "l + 8", "r": "p + 2", "s": 12}, "premises": {"s": 12}, "target": "j"}, "answer": {"steps": [["w", "h + 12", "h + 19"], ["h", "a + 14", "a + 33"], ["a", "x + 16", "x + 49"], ["x", "u + 20", "u + 69"], ["u", "s + 11", "s + 80"], ["s", 12, "92"]], "target_var_name": "j", "target_value": 92, "value_dict": {"s": 12}, "is_reverse": true}}
| 25,148
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = i + 15; v = s + 14; h = a + 14; p = l + 8; s = 12; w = h + 12; g = v + 9; u = s + 11; a = x + 16; x = u + 20; i = g + 2; j = w + 7; r = p + 2. If s = 12, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 12 to j, which gives j = h + 19.\n2. Substitute h = a + 14 to j, which gives j = a + 33.\n3. Substitute a = x + 16 to j, which gives j = x + 49.\n4. Substitute x = u + 20 to j, which gives j = u + 69.\n5. Substitute u = s + 11 to j, which gives j = s + 80.\n6. Substitute s = 12 to j, which gives j = 92.\n\nThus, the final answer is j = \\boxed{92}.",
"index": 25148,
"question": "Consider a system of variables where each variable is defined as follows: l = i + 15; v = s + 14; h = a + 14; p = l + 8; s = 12; w = h + 12; g = v + 9; u = s + 11; a = x + 16; x = u + 20; i = g + 2; j = w + 7; r = p + 2. If s = 12, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"k": "w + 11", "j": "k + 9", "n": "j + 5", "v": "n + 12", "m": "v + 1", "q": "m + 6", "r": "w + 12", "b": "r + 7", "e": "b + 5", "s": "e + 12", "o": "s + 16", "t": "o + 17", "w": 11}, "premises": {"w": 11}, "target": "q"}, "answer": {"steps": [["m", "v + 1", "v + 7"], ["v", "n + 12", "n + 19"], ["n", "j + 5", "j + 24"], ["j", "k + 9", "k + 33"], ["k", "w + 11", "w + 44"], ["w", 11, "55"]], "target_var_name": "q", "target_value": 55, "value_dict": {"w": 11}, "is_reverse": true}}
| 25,149
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = w + 12; j = k + 9; n = j + 5; e = b + 5; q = m + 6; o = s + 16; b = r + 7; s = e + 12; v = n + 12; t = o + 17; m = v + 1; k = w + 11; w = 11. If w = 11, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 1 to q, which gives q = v + 7.\n2. Substitute v = n + 12 to q, which gives q = n + 19.\n3. Substitute n = j + 5 to q, which gives q = j + 24.\n4. Substitute j = k + 9 to q, which gives q = k + 33.\n5. Substitute k = w + 11 to q, which gives q = w + 44.\n6. Substitute w = 11 to q, which gives q = 55.\n\nThus, the final answer is q = \\boxed{55}.",
"index": 25149,
"question": "Consider a system of variables where each variable is defined as follows: r = w + 12; j = k + 9; n = j + 5; e = b + 5; q = m + 6; o = s + 16; b = r + 7; s = e + 12; v = n + 12; t = o + 17; m = v + 1; k = w + 11; w = 11. If w = 11, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"b": "v + 17", "c": "b + 7", "y": "c + 2", "u": "y + 20", "k": "u + 2", "i": "k + 4", "m": "v + 7", "w": "m + 20", "z": "w + 8", "s": "z + 11", "d": "s + 3", "p": "d + 15", "v": 16}, "premises": {"v": 16}, "target": "i"}, "answer": {"steps": [["k", "u + 2", "u + 6"], ["u", "y + 20", "y + 26"], ["y", "c + 2", "c + 28"], ["c", "b + 7", "b + 35"], ["b", "v + 17", "v + 52"], ["v", 16, "68"]], "target_var_name": "i", "target_value": 68, "value_dict": {"v": 16}, "is_reverse": true}}
| 25,150
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = m + 20; i = k + 4; u = y + 20; v = 16; d = s + 3; y = c + 2; s = z + 11; b = v + 17; p = d + 15; m = v + 7; k = u + 2; z = w + 8; c = b + 7. Given that v = 16, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 2 to i, which gives i = u + 6.\n2. Substitute u = y + 20 to i, which gives i = y + 26.\n3. Substitute y = c + 2 to i, which gives i = c + 28.\n4. Substitute c = b + 7 to i, which gives i = b + 35.\n5. Substitute b = v + 17 to i, which gives i = v + 52.\n6. Substitute v = 16 to i, which gives i = 68.\n\nThus, the final answer is i = \\boxed{68}.",
"index": 25150,
"question": "Suppose a collection of variables is related by the following definitions: w = m + 20; i = k + 4; u = y + 20; v = 16; d = s + 3; y = c + 2; s = z + 11; b = v + 17; p = d + 15; m = v + 7; k = u + 2; z = w + 8; c = b + 7. Given that v = 16, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"m": "l + 11", "j": "m + 9", "t": "j + 10", "g": "t + 18", "s": "g + 2", "d": "s + 14", "k": "l + 19", "q": "k + 4", "x": "q + 9", "c": "x + 8", "f": "c + 12", "h": "f + 13", "l": 13}, "premises": {"l": 13}, "target": "d"}, "answer": {"steps": [["s", "g + 2", "g + 16"], ["g", "t + 18", "t + 34"], ["t", "j + 10", "j + 44"], ["j", "m + 9", "m + 53"], ["m", "l + 11", "l + 64"], ["l", 13, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"l": 13}, "is_reverse": true}}
| 25,151
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = q + 9; j = m + 9; f = c + 12; s = g + 2; c = x + 8; d = s + 14; h = f + 13; t = j + 10; m = l + 11; g = t + 18; q = k + 4; l = 13; k = l + 19. If l = 13, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 2 to d, which gives d = g + 16.\n2. Substitute g = t + 18 to d, which gives d = t + 34.\n3. Substitute t = j + 10 to d, which gives d = j + 44.\n4. Substitute j = m + 9 to d, which gives d = m + 53.\n5. Substitute m = l + 11 to d, which gives d = l + 64.\n6. Substitute l = 13 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 25151,
"question": "Consider a system of variables where each variable is defined as follows: x = q + 9; j = m + 9; f = c + 12; s = g + 2; c = x + 8; d = s + 14; h = f + 13; t = j + 10; m = l + 11; g = t + 18; q = k + 4; l = 13; k = l + 19. If l = 13, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"f": "z + 12", "n": "f + 10", "t": "n + 13", "v": "t + 18", "k": "v + 11", "s": "k + 14", "e": "z + 16", "w": "e + 5", "g": "w + 5", "u": "g + 10", "y": "u + 4", "m": "y + 6", "z": 7}, "premises": {"z": 7}, "target": "s"}, "answer": {"steps": [["k", "v + 11", "v + 25"], ["v", "t + 18", "t + 43"], ["t", "n + 13", "n + 56"], ["n", "f + 10", "f + 66"], ["f", "z + 12", "z + 78"], ["z", 7, "85"]], "target_var_name": "s", "target_value": 85, "value_dict": {"z": 7}, "is_reverse": true}}
| 25,152
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = n + 13; w = e + 5; z = 7; f = z + 12; u = g + 10; g = w + 5; y = u + 4; m = y + 6; e = z + 16; s = k + 14; v = t + 18; k = v + 11; n = f + 10. If z = 7, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 11 to s, which gives s = v + 25.\n2. Substitute v = t + 18 to s, which gives s = t + 43.\n3. Substitute t = n + 13 to s, which gives s = n + 56.\n4. Substitute n = f + 10 to s, which gives s = f + 66.\n5. Substitute f = z + 12 to s, which gives s = z + 78.\n6. Substitute z = 7 to s, which gives s = 85.\n\nThus, the final answer is s = \\boxed{85}.",
"index": 25152,
"question": "Consider a system of variables where each variable is defined as follows: t = n + 13; w = e + 5; z = 7; f = z + 12; u = g + 10; g = w + 5; y = u + 4; m = y + 6; e = z + 16; s = k + 14; v = t + 18; k = v + 11; n = f + 10. If z = 7, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"p": "e + 20", "y": "p + 8", "x": "y + 15", "j": "x + 4", "m": "j + 11", "t": "m + 4", "r": "e + 8", "c": "r + 7", "d": "c + 16", "f": "d + 4", "z": "f + 16", "l": "z + 17", "e": 4}, "premises": {"e": 4}, "target": "t"}, "answer": {"steps": [["m", "j + 11", "j + 15"], ["j", "x + 4", "x + 19"], ["x", "y + 15", "y + 34"], ["y", "p + 8", "p + 42"], ["p", "e + 20", "e + 62"], ["e", 4, "66"]], "target_var_name": "t", "target_value": 66, "value_dict": {"e": 4}, "is_reverse": true}}
| 25,153
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = r + 7; x = y + 15; l = z + 17; e = 4; j = x + 4; m = j + 11; d = c + 16; y = p + 8; f = d + 4; p = e + 20; z = f + 16; r = e + 8; t = m + 4. Given that e = 4, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 11 to t, which gives t = j + 15.\n2. Substitute j = x + 4 to t, which gives t = x + 19.\n3. Substitute x = y + 15 to t, which gives t = y + 34.\n4. Substitute y = p + 8 to t, which gives t = p + 42.\n5. Substitute p = e + 20 to t, which gives t = e + 62.\n6. Substitute e = 4 to t, which gives t = 66.\n\nThus, the final answer is t = \\boxed{66}.",
"index": 25153,
"question": "Suppose a collection of variables is related by the following definitions: c = r + 7; x = y + 15; l = z + 17; e = 4; j = x + 4; m = j + 11; d = c + 16; y = p + 8; f = d + 4; p = e + 20; z = f + 16; r = e + 8; t = m + 4. Given that e = 4, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"w": "e + 20", "n": "w + 17", "h": "n + 8", "b": "h + 10", "z": "b + 7", "r": "z + 17", "p": "e + 5", "q": "p + 6", "a": "q + 8", "y": "a + 6", "i": "y + 4", "k": "i + 9", "e": 9}, "premises": {"e": 9}, "target": "r"}, "answer": {"steps": [["z", "b + 7", "b + 24"], ["b", "h + 10", "h + 34"], ["h", "n + 8", "n + 42"], ["n", "w + 17", "w + 59"], ["w", "e + 20", "e + 79"], ["e", 9, "88"]], "target_var_name": "r", "target_value": 88, "value_dict": {"e": 9}, "is_reverse": true}}
| 25,154
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = a + 6; a = q + 8; r = z + 17; q = p + 6; b = h + 10; i = y + 4; h = n + 8; n = w + 17; e = 9; w = e + 20; p = e + 5; k = i + 9; z = b + 7. Given that e = 9, 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 z = b + 7 to r, which gives r = b + 24.\n2. Substitute b = h + 10 to r, which gives r = h + 34.\n3. Substitute h = n + 8 to r, which gives r = n + 42.\n4. Substitute n = w + 17 to r, which gives r = w + 59.\n5. Substitute w = e + 20 to r, which gives r = e + 79.\n6. Substitute e = 9 to r, which gives r = 88.\n\nThus, the final answer is r = \\boxed{88}.",
"index": 25154,
"question": "Suppose a collection of variables is related by the following definitions: y = a + 6; a = q + 8; r = z + 17; q = p + 6; b = h + 10; i = y + 4; h = n + 8; n = w + 17; e = 9; w = e + 20; p = e + 5; k = i + 9; z = b + 7. Given that e = 9, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"f": "k + 15", "c": "f + 8", "m": "c + 15", "r": "m + 2", "l": "r + 19", "x": "l + 13", "j": "k + 17", "v": "j + 3", "b": "v + 11", "q": "b + 15", "e": "q + 5", "o": "e + 20", "k": 16}, "premises": {"k": 16}, "target": "x"}, "answer": {"steps": [["l", "r + 19", "r + 32"], ["r", "m + 2", "m + 34"], ["m", "c + 15", "c + 49"], ["c", "f + 8", "f + 57"], ["f", "k + 15", "k + 72"], ["k", 16, "88"]], "target_var_name": "x", "target_value": 88, "value_dict": {"k": 16}, "is_reverse": true}}
| 25,155
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = j + 3; o = e + 20; j = k + 17; x = l + 13; c = f + 8; l = r + 19; m = c + 15; b = v + 11; q = b + 15; e = q + 5; r = m + 2; k = 16; f = k + 15. If k = 16, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 19 to x, which gives x = r + 32.\n2. Substitute r = m + 2 to x, which gives x = m + 34.\n3. Substitute m = c + 15 to x, which gives x = c + 49.\n4. Substitute c = f + 8 to x, which gives x = f + 57.\n5. Substitute f = k + 15 to x, which gives x = k + 72.\n6. Substitute k = 16 to x, which gives x = 88.\n\nThus, the final answer is x = \\boxed{88}.",
"index": 25155,
"question": "Consider a system of variables where each variable is defined as follows: v = j + 3; o = e + 20; j = k + 17; x = l + 13; c = f + 8; l = r + 19; m = c + 15; b = v + 11; q = b + 15; e = q + 5; r = m + 2; k = 16; f = k + 15. If k = 16, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"r": "w + 1", "x": "r + 14", "l": "x + 14", "o": "l + 10", "d": "o + 4", "q": "d + 15", "n": "w + 15", "a": "n + 11", "k": "a + 3", "v": "k + 20", "u": "v + 5", "j": "u + 7", "w": 16}, "premises": {"w": 16}, "target": "q"}, "answer": {"steps": [["d", "o + 4", "o + 19"], ["o", "l + 10", "l + 29"], ["l", "x + 14", "x + 43"], ["x", "r + 14", "r + 57"], ["r", "w + 1", "w + 58"], ["w", 16, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"w": 16}, "is_reverse": true}}
| 25,156
| 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 = w + 1; j = u + 7; l = x + 14; a = n + 11; k = a + 3; x = r + 14; d = o + 4; v = k + 20; w = 16; n = w + 15; o = l + 10; q = d + 15; u = v + 5. If w = 16, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 4 to q, which gives q = o + 19.\n2. Substitute o = l + 10 to q, which gives q = l + 29.\n3. Substitute l = x + 14 to q, which gives q = x + 43.\n4. Substitute x = r + 14 to q, which gives q = r + 57.\n5. Substitute r = w + 1 to q, which gives q = w + 58.\n6. Substitute w = 16 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 25156,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = w + 1; j = u + 7; l = x + 14; a = n + 11; k = a + 3; x = r + 14; d = o + 4; v = k + 20; w = 16; n = w + 15; o = l + 10; q = d + 15; u = v + 5. If w = 16, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"a": "q + 14", "w": "a + 3", "p": "w + 14", "u": "p + 6", "h": "u + 19", "g": "h + 9", "r": "q + 9", "b": "r + 19", "x": "b + 5", "t": "x + 14", "e": "t + 3", "j": "e + 3", "q": 15}, "premises": {"q": 15}, "target": "g"}, "answer": {"steps": [["h", "u + 19", "u + 28"], ["u", "p + 6", "p + 34"], ["p", "w + 14", "w + 48"], ["w", "a + 3", "a + 51"], ["a", "q + 14", "q + 65"], ["q", 15, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"q": 15}, "is_reverse": true}}
| 25,157
| 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 = q + 9; g = h + 9; p = w + 14; x = b + 5; a = q + 14; e = t + 3; w = a + 3; h = u + 19; t = x + 14; b = r + 19; u = p + 6; q = 15; j = e + 3. If q = 15, 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 h = u + 19 to g, which gives g = u + 28.\n2. Substitute u = p + 6 to g, which gives g = p + 34.\n3. Substitute p = w + 14 to g, which gives g = w + 48.\n4. Substitute w = a + 3 to g, which gives g = a + 51.\n5. Substitute a = q + 14 to g, which gives g = q + 65.\n6. Substitute q = 15 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 25157,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = q + 9; g = h + 9; p = w + 14; x = b + 5; a = q + 14; e = t + 3; w = a + 3; h = u + 19; t = x + 14; b = r + 19; u = p + 6; q = 15; j = e + 3. If q = 15, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"s": "h + 4", "n": "s + 11", "j": "n + 20", "z": "j + 15", "y": "z + 20", "p": "y + 12", "b": "h + 4", "g": "b + 3", "e": "g + 11", "o": "e + 6", "a": "o + 19", "m": "a + 20", "h": 6}, "premises": {"h": 6}, "target": "p"}, "answer": {"steps": [["y", "z + 20", "z + 32"], ["z", "j + 15", "j + 47"], ["j", "n + 20", "n + 67"], ["n", "s + 11", "s + 78"], ["s", "h + 4", "h + 82"], ["h", 6, "88"]], "target_var_name": "p", "target_value": 88, "value_dict": {"h": 6}, "is_reverse": true}}
| 25,158
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = a + 20; j = n + 20; o = e + 6; b = h + 4; p = y + 12; y = z + 20; n = s + 11; g = b + 3; z = j + 15; s = h + 4; a = o + 19; h = 6; e = g + 11. Given that h = 6, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 20 to p, which gives p = z + 32.\n2. Substitute z = j + 15 to p, which gives p = j + 47.\n3. Substitute j = n + 20 to p, which gives p = n + 67.\n4. Substitute n = s + 11 to p, which gives p = s + 78.\n5. Substitute s = h + 4 to p, which gives p = h + 82.\n6. Substitute h = 6 to p, which gives p = 88.\n\nThus, the final answer is p = \\boxed{88}.",
"index": 25158,
"question": "Suppose a collection of variables is related by the following definitions: m = a + 20; j = n + 20; o = e + 6; b = h + 4; p = y + 12; y = z + 20; n = s + 11; g = b + 3; z = j + 15; s = h + 4; a = o + 19; h = 6; e = g + 11. Given that h = 6, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"h": "y + 17", "v": "h + 3", "p": "v + 15", "m": "p + 20", "z": "m + 18", "r": "z + 8", "t": "y + 4", "w": "t + 4", "o": "w + 10", "k": "o + 11", "e": "k + 6", "u": "e + 12", "y": 17}, "premises": {"y": 17}, "target": "r"}, "answer": {"steps": [["z", "m + 18", "m + 26"], ["m", "p + 20", "p + 46"], ["p", "v + 15", "v + 61"], ["v", "h + 3", "h + 64"], ["h", "y + 17", "y + 81"], ["y", 17, "98"]], "target_var_name": "r", "target_value": 98, "value_dict": {"y": 17}, "is_reverse": true}}
| 25,159
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = p + 20; p = v + 15; v = h + 3; o = w + 10; u = e + 12; t = y + 4; y = 17; e = k + 6; h = y + 17; w = t + 4; z = m + 18; r = z + 8; k = o + 11. If y = 17, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 18 to r, which gives r = m + 26.\n2. Substitute m = p + 20 to r, which gives r = p + 46.\n3. Substitute p = v + 15 to r, which gives r = v + 61.\n4. Substitute v = h + 3 to r, which gives r = h + 64.\n5. Substitute h = y + 17 to r, which gives r = y + 81.\n6. Substitute y = 17 to r, which gives r = 98.\n\nThus, the final answer is r = \\boxed{98}.",
"index": 25159,
"question": "Consider a system of variables where each variable is defined as follows: m = p + 20; p = v + 15; v = h + 3; o = w + 10; u = e + 12; t = y + 4; y = 17; e = k + 6; h = y + 17; w = t + 4; z = m + 18; r = z + 8; k = o + 11. If y = 17, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"m": "f + 18", "y": "m + 13", "n": "y + 9", "d": "n + 9", "v": "d + 13", "a": "v + 1", "c": "f + 6", "w": "c + 1", "h": "w + 14", "j": "h + 20", "z": "j + 11", "o": "z + 17", "f": 11}, "premises": {"f": 11}, "target": "a"}, "answer": {"steps": [["v", "d + 13", "d + 14"], ["d", "n + 9", "n + 23"], ["n", "y + 9", "y + 32"], ["y", "m + 13", "m + 45"], ["m", "f + 18", "f + 63"], ["f", 11, "74"]], "target_var_name": "a", "target_value": 74, "value_dict": {"f": 11}, "is_reverse": true}}
| 25,160
| 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 = c + 1; v = d + 13; n = y + 9; f = 11; j = h + 20; o = z + 17; d = n + 9; z = j + 11; m = f + 18; h = w + 14; y = m + 13; a = v + 1; c = f + 6. If f = 11, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 13 to a, which gives a = d + 14.\n2. Substitute d = n + 9 to a, which gives a = n + 23.\n3. Substitute n = y + 9 to a, which gives a = y + 32.\n4. Substitute y = m + 13 to a, which gives a = m + 45.\n5. Substitute m = f + 18 to a, which gives a = f + 63.\n6. Substitute f = 11 to a, which gives a = 74.\n\nThus, the final answer is a = \\boxed{74}.",
"index": 25160,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = c + 1; v = d + 13; n = y + 9; f = 11; j = h + 20; o = z + 17; d = n + 9; z = j + 11; m = f + 18; h = w + 14; y = m + 13; a = v + 1; c = f + 6. If f = 11, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"x": "t + 16", "f": "x + 14", "a": "f + 10", "u": "a + 11", "j": "u + 1", "n": "j + 12", "y": "t + 19", "i": "y + 10", "r": "i + 10", "p": "r + 11", "e": "p + 16", "v": "e + 18", "t": 17}, "premises": {"t": 17}, "target": "n"}, "answer": {"steps": [["j", "u + 1", "u + 13"], ["u", "a + 11", "a + 24"], ["a", "f + 10", "f + 34"], ["f", "x + 14", "x + 48"], ["x", "t + 16", "t + 64"], ["t", 17, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"t": 17}, "is_reverse": true}}
| 25,161
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = x + 14; x = t + 16; r = i + 10; u = a + 11; j = u + 1; t = 17; e = p + 16; y = t + 19; v = e + 18; p = r + 11; a = f + 10; i = y + 10; n = j + 12. Given that t = 17, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 1 to n, which gives n = u + 13.\n2. Substitute u = a + 11 to n, which gives n = a + 24.\n3. Substitute a = f + 10 to n, which gives n = f + 34.\n4. Substitute f = x + 14 to n, which gives n = x + 48.\n5. Substitute x = t + 16 to n, which gives n = t + 64.\n6. Substitute t = 17 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 25161,
"question": "Suppose a collection of variables is related by the following definitions: f = x + 14; x = t + 16; r = i + 10; u = a + 11; j = u + 1; t = 17; e = p + 16; y = t + 19; v = e + 18; p = r + 11; a = f + 10; i = y + 10; n = j + 12. Given that t = 17, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"y": "v + 7", "g": "y + 5", "i": "g + 6", "w": "i + 17", "f": "w + 12", "e": "f + 16", "m": "v + 5", "a": "m + 9", "z": "a + 14", "t": "z + 19", "x": "t + 1", "r": "x + 16", "v": 20}, "premises": {"v": 20}, "target": "e"}, "answer": {"steps": [["f", "w + 12", "w + 28"], ["w", "i + 17", "i + 45"], ["i", "g + 6", "g + 51"], ["g", "y + 5", "y + 56"], ["y", "v + 7", "v + 63"], ["v", 20, "83"]], "target_var_name": "e", "target_value": 83, "value_dict": {"v": 20}, "is_reverse": true}}
| 25,162
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = y + 5; x = t + 1; v = 20; w = i + 17; a = m + 9; t = z + 19; i = g + 6; z = a + 14; f = w + 12; y = v + 7; r = x + 16; e = f + 16; m = v + 5. If v = 20, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 12 to e, which gives e = w + 28.\n2. Substitute w = i + 17 to e, which gives e = i + 45.\n3. Substitute i = g + 6 to e, which gives e = g + 51.\n4. Substitute g = y + 5 to e, which gives e = y + 56.\n5. Substitute y = v + 7 to e, which gives e = v + 63.\n6. Substitute v = 20 to e, which gives e = 83.\n\nThus, the final answer is e = \\boxed{83}.",
"index": 25162,
"question": "Consider a system of variables where each variable is defined as follows: g = y + 5; x = t + 1; v = 20; w = i + 17; a = m + 9; t = z + 19; i = g + 6; z = a + 14; f = w + 12; y = v + 7; r = x + 16; e = f + 16; m = v + 5. If v = 20, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"n": "w + 7", "q": "n + 4", "t": "q + 7", "s": "t + 12", "j": "s + 13", "h": "j + 1", "y": "w + 19", "b": "y + 12", "v": "b + 10", "u": "v + 16", "o": "u + 11", "g": "o + 18", "w": 16}, "premises": {"w": 16}, "target": "h"}, "answer": {"steps": [["j", "s + 13", "s + 14"], ["s", "t + 12", "t + 26"], ["t", "q + 7", "q + 33"], ["q", "n + 4", "n + 37"], ["n", "w + 7", "w + 44"], ["w", 16, "60"]], "target_var_name": "h", "target_value": 60, "value_dict": {"w": 16}, "is_reverse": true}}
| 25,163
| 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 = j + 1; y = w + 19; n = w + 7; j = s + 13; u = v + 16; o = u + 11; s = t + 12; v = b + 10; w = 16; b = y + 12; g = o + 18; t = q + 7; q = n + 4. If w = 16, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 13 to h, which gives h = s + 14.\n2. Substitute s = t + 12 to h, which gives h = t + 26.\n3. Substitute t = q + 7 to h, which gives h = q + 33.\n4. Substitute q = n + 4 to h, which gives h = n + 37.\n5. Substitute n = w + 7 to h, which gives h = w + 44.\n6. Substitute w = 16 to h, which gives h = 60.\n\nThus, the final answer is h = \\boxed{60}.",
"index": 25163,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = j + 1; y = w + 19; n = w + 7; j = s + 13; u = v + 16; o = u + 11; s = t + 12; v = b + 10; w = 16; b = y + 12; g = o + 18; t = q + 7; q = n + 4. If w = 16, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"h": "g + 8", "a": "h + 3", "s": "a + 3", "v": "s + 12", "q": "v + 9", "b": "q + 14", "x": "g + 20", "m": "x + 2", "e": "m + 11", "u": "e + 18", "d": "u + 3", "k": "d + 5", "g": 4}, "premises": {"g": 4}, "target": "b"}, "answer": {"steps": [["q", "v + 9", "v + 23"], ["v", "s + 12", "s + 35"], ["s", "a + 3", "a + 38"], ["a", "h + 3", "h + 41"], ["h", "g + 8", "g + 49"], ["g", 4, "53"]], "target_var_name": "b", "target_value": 53, "value_dict": {"g": 4}, "is_reverse": true}}
| 25,164
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = x + 2; d = u + 3; x = g + 20; b = q + 14; s = a + 3; g = 4; k = d + 5; e = m + 11; a = h + 3; v = s + 12; q = v + 9; h = g + 8; u = e + 18. Given that g = 4, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 9 to b, which gives b = v + 23.\n2. Substitute v = s + 12 to b, which gives b = s + 35.\n3. Substitute s = a + 3 to b, which gives b = a + 38.\n4. Substitute a = h + 3 to b, which gives b = h + 41.\n5. Substitute h = g + 8 to b, which gives b = g + 49.\n6. Substitute g = 4 to b, which gives b = 53.\n\nThus, the final answer is b = \\boxed{53}.",
"index": 25164,
"question": "Suppose a collection of variables is related by the following definitions: m = x + 2; d = u + 3; x = g + 20; b = q + 14; s = a + 3; g = 4; k = d + 5; e = m + 11; a = h + 3; v = s + 12; q = v + 9; h = g + 8; u = e + 18. Given that g = 4, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"n": "a + 7", "x": "n + 7", "b": "x + 5", "i": "b + 1", "d": "i + 8", "h": "d + 14", "f": "a + 4", "t": "f + 9", "q": "t + 12", "u": "q + 10", "j": "u + 6", "g": "j + 15", "a": 3}, "premises": {"a": 3}, "target": "h"}, "answer": {"steps": [["d", "i + 8", "i + 22"], ["i", "b + 1", "b + 23"], ["b", "x + 5", "x + 28"], ["x", "n + 7", "n + 35"], ["n", "a + 7", "a + 42"], ["a", 3, "45"]], "target_var_name": "h", "target_value": 45, "value_dict": {"a": 3}, "is_reverse": true}}
| 25,165
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 4; n = a + 7; g = j + 15; q = t + 12; h = d + 14; a = 3; u = q + 10; b = x + 5; i = b + 1; t = f + 9; d = i + 8; j = u + 6; x = n + 7. If a = 3, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 8 to h, which gives h = i + 22.\n2. Substitute i = b + 1 to h, which gives h = b + 23.\n3. Substitute b = x + 5 to h, which gives h = x + 28.\n4. Substitute x = n + 7 to h, which gives h = n + 35.\n5. Substitute n = a + 7 to h, which gives h = a + 42.\n6. Substitute a = 3 to h, which gives h = 45.\n\nThus, the final answer is h = \\boxed{45}.",
"index": 25165,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 4; n = a + 7; g = j + 15; q = t + 12; h = d + 14; a = 3; u = q + 10; b = x + 5; i = b + 1; t = f + 9; d = i + 8; j = u + 6; x = n + 7. If a = 3, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"f": "o + 12", "v": "f + 20", "q": "v + 12", "j": "q + 1", "c": "j + 3", "e": "c + 19", "b": "o + 18", "x": "b + 9", "w": "x + 16", "r": "w + 2", "a": "r + 9", "u": "a + 18", "o": 3}, "premises": {"o": 3}, "target": "e"}, "answer": {"steps": [["c", "j + 3", "j + 22"], ["j", "q + 1", "q + 23"], ["q", "v + 12", "v + 35"], ["v", "f + 20", "f + 55"], ["f", "o + 12", "o + 67"], ["o", 3, "70"]], "target_var_name": "e", "target_value": 70, "value_dict": {"o": 3}, "is_reverse": true}}
| 25,166
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = b + 9; e = c + 19; c = j + 3; a = r + 9; q = v + 12; b = o + 18; r = w + 2; f = o + 12; u = a + 18; o = 3; j = q + 1; v = f + 20; w = x + 16. If o = 3, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 3 to e, which gives e = j + 22.\n2. Substitute j = q + 1 to e, which gives e = q + 23.\n3. Substitute q = v + 12 to e, which gives e = v + 35.\n4. Substitute v = f + 20 to e, which gives e = f + 55.\n5. Substitute f = o + 12 to e, which gives e = o + 67.\n6. Substitute o = 3 to e, which gives e = 70.\n\nThus, the final answer is e = \\boxed{70}.",
"index": 25166,
"question": "Consider a system of variables where each variable is defined as follows: x = b + 9; e = c + 19; c = j + 3; a = r + 9; q = v + 12; b = o + 18; r = w + 2; f = o + 12; u = a + 18; o = 3; j = q + 1; v = f + 20; w = x + 16. If o = 3, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"a": "q + 2", "w": "a + 1", "r": "w + 20", "k": "r + 6", "n": "k + 19", "x": "n + 2", "v": "q + 2", "p": "v + 3", "c": "p + 17", "i": "c + 17", "h": "i + 1", "u": "h + 11", "q": 3}, "premises": {"q": 3}, "target": "x"}, "answer": {"steps": [["n", "k + 19", "k + 21"], ["k", "r + 6", "r + 27"], ["r", "w + 20", "w + 47"], ["w", "a + 1", "a + 48"], ["a", "q + 2", "q + 50"], ["q", 3, "53"]], "target_var_name": "x", "target_value": 53, "value_dict": {"q": 3}, "is_reverse": true}}
| 25,167
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = n + 2; w = a + 1; u = h + 11; q = 3; r = w + 20; i = c + 17; p = v + 3; n = k + 19; a = q + 2; h = i + 1; v = q + 2; c = p + 17; k = r + 6. Given that q = 3, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 19 to x, which gives x = k + 21.\n2. Substitute k = r + 6 to x, which gives x = r + 27.\n3. Substitute r = w + 20 to x, which gives x = w + 47.\n4. Substitute w = a + 1 to x, which gives x = a + 48.\n5. Substitute a = q + 2 to x, which gives x = q + 50.\n6. Substitute q = 3 to x, which gives x = 53.\n\nThus, the final answer is x = \\boxed{53}.",
"index": 25167,
"question": "Suppose a collection of variables is related by the following definitions: x = n + 2; w = a + 1; u = h + 11; q = 3; r = w + 20; i = c + 17; p = v + 3; n = k + 19; a = q + 2; h = i + 1; v = q + 2; c = p + 17; k = r + 6. Given that q = 3, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"h": "k + 10", "v": "h + 6", "x": "v + 7", "p": "x + 9", "r": "p + 20", "f": "r + 19", "s": "k + 19", "i": "s + 6", "m": "i + 18", "n": "m + 18", "c": "n + 7", "o": "c + 14", "k": 9}, "premises": {"k": 9}, "target": "f"}, "answer": {"steps": [["r", "p + 20", "p + 39"], ["p", "x + 9", "x + 48"], ["x", "v + 7", "v + 55"], ["v", "h + 6", "h + 61"], ["h", "k + 10", "k + 71"], ["k", 9, "80"]], "target_var_name": "f", "target_value": 80, "value_dict": {"k": 9}, "is_reverse": true}}
| 25,168
| 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 = x + 9; o = c + 14; h = k + 10; c = n + 7; v = h + 6; n = m + 18; s = k + 19; m = i + 18; k = 9; x = v + 7; f = r + 19; i = s + 6; r = p + 20. If k = 9, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 20 to f, which gives f = p + 39.\n2. Substitute p = x + 9 to f, which gives f = x + 48.\n3. Substitute x = v + 7 to f, which gives f = v + 55.\n4. Substitute v = h + 6 to f, which gives f = h + 61.\n5. Substitute h = k + 10 to f, which gives f = k + 71.\n6. Substitute k = 9 to f, which gives f = 80.\n\nThus, the final answer is f = \\boxed{80}.",
"index": 25168,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = x + 9; o = c + 14; h = k + 10; c = n + 7; v = h + 6; n = m + 18; s = k + 19; m = i + 18; k = 9; x = v + 7; f = r + 19; i = s + 6; r = p + 20. If k = 9, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"a": "v + 8", "x": "a + 17", "t": "x + 15", "q": "t + 12", "g": "q + 15", "s": "g + 3", "w": "v + 5", "o": "w + 17", "k": "o + 1", "e": "k + 2", "b": "e + 9", "d": "b + 6", "v": 16}, "premises": {"v": 16}, "target": "s"}, "answer": {"steps": [["g", "q + 15", "q + 18"], ["q", "t + 12", "t + 30"], ["t", "x + 15", "x + 45"], ["x", "a + 17", "a + 62"], ["a", "v + 8", "v + 70"], ["v", 16, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"v": 16}, "is_reverse": true}}
| 25,169
| 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 = w + 17; k = o + 1; a = v + 8; t = x + 15; b = e + 9; d = b + 6; q = t + 12; w = v + 5; v = 16; s = g + 3; g = q + 15; e = k + 2; x = a + 17. If v = 16, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 15 to s, which gives s = q + 18.\n2. Substitute q = t + 12 to s, which gives s = t + 30.\n3. Substitute t = x + 15 to s, which gives s = x + 45.\n4. Substitute x = a + 17 to s, which gives s = a + 62.\n5. Substitute a = v + 8 to s, which gives s = v + 70.\n6. Substitute v = 16 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 25169,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 17; k = o + 1; a = v + 8; t = x + 15; b = e + 9; d = b + 6; q = t + 12; w = v + 5; v = 16; s = g + 3; g = q + 15; e = k + 2; x = a + 17. If v = 16, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"k": "m + 11", "v": "k + 4", "q": "v + 19", "n": "q + 7", "a": "n + 19", "c": "a + 6", "i": "m + 5", "x": "i + 11", "o": "x + 1", "h": "o + 18", "p": "h + 4", "g": "p + 11", "m": 16}, "premises": {"m": 16}, "target": "c"}, "answer": {"steps": [["a", "n + 19", "n + 25"], ["n", "q + 7", "q + 32"], ["q", "v + 19", "v + 51"], ["v", "k + 4", "k + 55"], ["k", "m + 11", "m + 66"], ["m", 16, "82"]], "target_var_name": "c", "target_value": 82, "value_dict": {"m": 16}, "is_reverse": true}}
| 25,170
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = m + 5; m = 16; h = o + 18; g = p + 11; v = k + 4; o = x + 1; q = v + 19; x = i + 11; n = q + 7; p = h + 4; c = a + 6; k = m + 11; a = n + 19. If m = 16, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 19 to c, which gives c = n + 25.\n2. Substitute n = q + 7 to c, which gives c = q + 32.\n3. Substitute q = v + 19 to c, which gives c = v + 51.\n4. Substitute v = k + 4 to c, which gives c = k + 55.\n5. Substitute k = m + 11 to c, which gives c = m + 66.\n6. Substitute m = 16 to c, which gives c = 82.\n\nThus, the final answer is c = \\boxed{82}.",
"index": 25170,
"question": "Consider a system of variables where each variable is defined as follows: i = m + 5; m = 16; h = o + 18; g = p + 11; v = k + 4; o = x + 1; q = v + 19; x = i + 11; n = q + 7; p = h + 4; c = a + 6; k = m + 11; a = n + 19. If m = 16, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"j": "z + 12", "q": "j + 3", "g": "q + 5", "v": "g + 8", "i": "v + 19", "t": "i + 13", "c": "z + 2", "k": "c + 18", "h": "k + 3", "d": "h + 16", "e": "d + 1", "o": "e + 1", "z": 18}, "premises": {"z": 18}, "target": "t"}, "answer": {"steps": [["i", "v + 19", "v + 32"], ["v", "g + 8", "g + 40"], ["g", "q + 5", "q + 45"], ["q", "j + 3", "j + 48"], ["j", "z + 12", "z + 60"], ["z", 18, "78"]], "target_var_name": "t", "target_value": 78, "value_dict": {"z": 18}, "is_reverse": true}}
| 25,171
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = i + 13; h = k + 3; q = j + 3; g = q + 5; d = h + 16; c = z + 2; k = c + 18; i = v + 19; j = z + 12; e = d + 1; v = g + 8; o = e + 1; z = 18. If z = 18, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 19 to t, which gives t = v + 32.\n2. Substitute v = g + 8 to t, which gives t = g + 40.\n3. Substitute g = q + 5 to t, which gives t = q + 45.\n4. Substitute q = j + 3 to t, which gives t = j + 48.\n5. Substitute j = z + 12 to t, which gives t = z + 60.\n6. Substitute z = 18 to t, which gives t = 78.\n\nThus, the final answer is t = \\boxed{78}.",
"index": 25171,
"question": "Consider a system of variables where each variable is defined as follows: t = i + 13; h = k + 3; q = j + 3; g = q + 5; d = h + 16; c = z + 2; k = c + 18; i = v + 19; j = z + 12; e = d + 1; v = g + 8; o = e + 1; z = 18. If z = 18, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"v": "i + 9", "k": "v + 4", "z": "k + 6", "x": "z + 3", "b": "x + 13", "m": "b + 19", "o": "i + 18", "p": "o + 17", "g": "p + 20", "l": "g + 11", "s": "l + 3", "n": "s + 16", "i": 9}, "premises": {"i": 9}, "target": "m"}, "answer": {"steps": [["b", "x + 13", "x + 32"], ["x", "z + 3", "z + 35"], ["z", "k + 6", "k + 41"], ["k", "v + 4", "v + 45"], ["v", "i + 9", "i + 54"], ["i", 9, "63"]], "target_var_name": "m", "target_value": 63, "value_dict": {"i": 9}, "is_reverse": true}}
| 25,172
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = i + 9; s = l + 3; g = p + 20; b = x + 13; n = s + 16; m = b + 19; z = k + 6; x = z + 3; o = i + 18; p = o + 17; k = v + 4; i = 9; l = g + 11. If i = 9, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 13 to m, which gives m = x + 32.\n2. Substitute x = z + 3 to m, which gives m = z + 35.\n3. Substitute z = k + 6 to m, which gives m = k + 41.\n4. Substitute k = v + 4 to m, which gives m = v + 45.\n5. Substitute v = i + 9 to m, which gives m = i + 54.\n6. Substitute i = 9 to m, which gives m = 63.\n\nThus, the final answer is m = \\boxed{63}.",
"index": 25172,
"question": "Consider a system of variables where each variable is defined as follows: v = i + 9; s = l + 3; g = p + 20; b = x + 13; n = s + 16; m = b + 19; z = k + 6; x = z + 3; o = i + 18; p = o + 17; k = v + 4; i = 9; l = g + 11. If i = 9, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"r": "a + 7", "g": "r + 19", "j": "g + 16", "u": "j + 13", "s": "u + 1", "z": "s + 17", "t": "a + 19", "w": "t + 3", "q": "w + 13", "x": "q + 9", "d": "x + 16", "n": "d + 15", "a": 17}, "premises": {"a": 17}, "target": "z"}, "answer": {"steps": [["s", "u + 1", "u + 18"], ["u", "j + 13", "j + 31"], ["j", "g + 16", "g + 47"], ["g", "r + 19", "r + 66"], ["r", "a + 7", "a + 73"], ["a", 17, "90"]], "target_var_name": "z", "target_value": 90, "value_dict": {"a": 17}, "is_reverse": true}}
| 25,173
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = t + 3; x = q + 9; d = x + 16; j = g + 16; q = w + 13; z = s + 17; u = j + 13; t = a + 19; g = r + 19; a = 17; r = a + 7; s = u + 1; n = d + 15. If a = 17, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 1 to z, which gives z = u + 18.\n2. Substitute u = j + 13 to z, which gives z = j + 31.\n3. Substitute j = g + 16 to z, which gives z = g + 47.\n4. Substitute g = r + 19 to z, which gives z = r + 66.\n5. Substitute r = a + 7 to z, which gives z = a + 73.\n6. Substitute a = 17 to z, which gives z = 90.\n\nThus, the final answer is z = \\boxed{90}.",
"index": 25173,
"question": "Consider a system of variables where each variable is defined as follows: w = t + 3; x = q + 9; d = x + 16; j = g + 16; q = w + 13; z = s + 17; u = j + 13; t = a + 19; g = r + 19; a = 17; r = a + 7; s = u + 1; n = d + 15. If a = 17, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"y": "f + 4", "j": "y + 8", "h": "j + 20", "r": "h + 14", "u": "r + 10", "z": "u + 6", "s": "f + 7", "q": "s + 3", "x": "q + 3", "w": "x + 20", "p": "w + 11", "b": "p + 20", "f": 3}, "premises": {"f": 3}, "target": "z"}, "answer": {"steps": [["u", "r + 10", "r + 16"], ["r", "h + 14", "h + 30"], ["h", "j + 20", "j + 50"], ["j", "y + 8", "y + 58"], ["y", "f + 4", "f + 62"], ["f", 3, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"f": 3}, "is_reverse": true}}
| 25,174
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = f + 4; h = j + 20; w = x + 20; s = f + 7; b = p + 20; p = w + 11; u = r + 10; z = u + 6; f = 3; x = q + 3; q = s + 3; j = y + 8; r = h + 14. Given that f = 3, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 10 to z, which gives z = r + 16.\n2. Substitute r = h + 14 to z, which gives z = h + 30.\n3. Substitute h = j + 20 to z, which gives z = j + 50.\n4. Substitute j = y + 8 to z, which gives z = y + 58.\n5. Substitute y = f + 4 to z, which gives z = f + 62.\n6. Substitute f = 3 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 25174,
"question": "Suppose a collection of variables is related by the following definitions: y = f + 4; h = j + 20; w = x + 20; s = f + 7; b = p + 20; p = w + 11; u = r + 10; z = u + 6; f = 3; x = q + 3; q = s + 3; j = y + 8; r = h + 14. Given that f = 3, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"e": "x + 19", "j": "e + 6", "w": "j + 12", "p": "w + 2", "v": "p + 7", "a": "v + 10", "q": "x + 7", "y": "q + 3", "t": "y + 7", "m": "t + 14", "z": "m + 14", "d": "z + 15", "x": 13}, "premises": {"x": 13}, "target": "a"}, "answer": {"steps": [["v", "p + 7", "p + 17"], ["p", "w + 2", "w + 19"], ["w", "j + 12", "j + 31"], ["j", "e + 6", "e + 37"], ["e", "x + 19", "x + 56"], ["x", 13, "69"]], "target_var_name": "a", "target_value": 69, "value_dict": {"x": 13}, "is_reverse": true}}
| 25,175
| 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 = m + 14; x = 13; t = y + 7; w = j + 12; p = w + 2; e = x + 19; d = z + 15; j = e + 6; m = t + 14; y = q + 3; q = x + 7; a = v + 10; v = p + 7. If x = 13, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 7 to a, which gives a = p + 17.\n2. Substitute p = w + 2 to a, which gives a = w + 19.\n3. Substitute w = j + 12 to a, which gives a = j + 31.\n4. Substitute j = e + 6 to a, which gives a = e + 37.\n5. Substitute e = x + 19 to a, which gives a = x + 56.\n6. Substitute x = 13 to a, which gives a = 69.\n\nThus, the final answer is a = \\boxed{69}.",
"index": 25175,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = m + 14; x = 13; t = y + 7; w = j + 12; p = w + 2; e = x + 19; d = z + 15; j = e + 6; m = t + 14; y = q + 3; q = x + 7; a = v + 10; v = p + 7. If x = 13, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"e": "s + 9", "a": "e + 8", "t": "a + 19", "c": "t + 17", "j": "c + 1", "r": "j + 9", "q": "s + 16", "u": "q + 5", "o": "u + 12", "b": "o + 10", "v": "b + 5", "x": "v + 6", "s": 5}, "premises": {"s": 5}, "target": "r"}, "answer": {"steps": [["j", "c + 1", "c + 10"], ["c", "t + 17", "t + 27"], ["t", "a + 19", "a + 46"], ["a", "e + 8", "e + 54"], ["e", "s + 9", "s + 63"], ["s", 5, "68"]], "target_var_name": "r", "target_value": 68, "value_dict": {"s": 5}, "is_reverse": true}}
| 25,176
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = c + 1; x = v + 6; e = s + 9; t = a + 19; q = s + 16; s = 5; c = t + 17; u = q + 5; v = b + 5; a = e + 8; r = j + 9; o = u + 12; b = o + 10. Given that s = 5, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 1 to r, which gives r = c + 10.\n2. Substitute c = t + 17 to r, which gives r = t + 27.\n3. Substitute t = a + 19 to r, which gives r = a + 46.\n4. Substitute a = e + 8 to r, which gives r = e + 54.\n5. Substitute e = s + 9 to r, which gives r = s + 63.\n6. Substitute s = 5 to r, which gives r = 68.\n\nThus, the final answer is r = \\boxed{68}.",
"index": 25176,
"question": "Suppose a collection of variables is related by the following definitions: j = c + 1; x = v + 6; e = s + 9; t = a + 19; q = s + 16; s = 5; c = t + 17; u = q + 5; v = b + 5; a = e + 8; r = j + 9; o = u + 12; b = o + 10. Given that s = 5, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"i": "k + 8", "v": "i + 19", "z": "v + 12", "x": "z + 8", "y": "x + 9", "s": "y + 13", "g": "k + 10", "o": "g + 14", "b": "o + 12", "u": "b + 1", "t": "u + 16", "r": "t + 11", "k": 17}, "premises": {"k": 17}, "target": "s"}, "answer": {"steps": [["y", "x + 9", "x + 22"], ["x", "z + 8", "z + 30"], ["z", "v + 12", "v + 42"], ["v", "i + 19", "i + 61"], ["i", "k + 8", "k + 69"], ["k", 17, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"k": 17}, "is_reverse": true}}
| 25,177
| 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 = 17; v = i + 19; s = y + 13; u = b + 1; i = k + 8; r = t + 11; x = z + 8; o = g + 14; y = x + 9; b = o + 12; g = k + 10; t = u + 16; z = v + 12. If k = 17, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 9 to s, which gives s = x + 22.\n2. Substitute x = z + 8 to s, which gives s = z + 30.\n3. Substitute z = v + 12 to s, which gives s = v + 42.\n4. Substitute v = i + 19 to s, which gives s = i + 61.\n5. Substitute i = k + 8 to s, which gives s = k + 69.\n6. Substitute k = 17 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 25177,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = 17; v = i + 19; s = y + 13; u = b + 1; i = k + 8; r = t + 11; x = z + 8; o = g + 14; y = x + 9; b = o + 12; g = k + 10; t = u + 16; z = v + 12. If k = 17, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"v": "b + 13", "g": "v + 1", "e": "g + 9", "y": "e + 15", "r": "y + 1", "o": "r + 10", "h": "b + 10", "x": "h + 20", "s": "x + 1", "u": "s + 19", "t": "u + 4", "c": "t + 20", "b": 6}, "premises": {"b": 6}, "target": "o"}, "answer": {"steps": [["r", "y + 1", "y + 11"], ["y", "e + 15", "e + 26"], ["e", "g + 9", "g + 35"], ["g", "v + 1", "v + 36"], ["v", "b + 13", "b + 49"], ["b", 6, "55"]], "target_var_name": "o", "target_value": 55, "value_dict": {"b": 6}, "is_reverse": true}}
| 25,178
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = 6; x = h + 20; o = r + 10; u = s + 19; r = y + 1; h = b + 10; g = v + 1; v = b + 13; e = g + 9; t = u + 4; s = x + 1; c = t + 20; y = e + 15. If b = 6, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 1 to o, which gives o = y + 11.\n2. Substitute y = e + 15 to o, which gives o = e + 26.\n3. Substitute e = g + 9 to o, which gives o = g + 35.\n4. Substitute g = v + 1 to o, which gives o = v + 36.\n5. Substitute v = b + 13 to o, which gives o = b + 49.\n6. Substitute b = 6 to o, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 25178,
"question": "Consider a system of variables where each variable is defined as follows: b = 6; x = h + 20; o = r + 10; u = s + 19; r = y + 1; h = b + 10; g = v + 1; v = b + 13; e = g + 9; t = u + 4; s = x + 1; c = t + 20; y = e + 15. If b = 6, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"x": "u + 4", "f": "x + 6", "l": "f + 16", "h": "l + 14", "w": "h + 5", "d": "w + 14", "v": "u + 6", "g": "v + 7", "r": "g + 1", "b": "r + 4", "k": "b + 3", "t": "k + 3", "u": 3}, "premises": {"u": 3}, "target": "d"}, "answer": {"steps": [["w", "h + 5", "h + 19"], ["h", "l + 14", "l + 33"], ["l", "f + 16", "f + 49"], ["f", "x + 6", "x + 55"], ["x", "u + 4", "u + 59"], ["u", 3, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"u": 3}, "is_reverse": true}}
| 25,179
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = r + 4; g = v + 7; r = g + 1; k = b + 3; d = w + 14; w = h + 5; u = 3; x = u + 4; v = u + 6; f = x + 6; l = f + 16; h = l + 14; t = k + 3. If u = 3, what is the resulting 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 w = h + 5 to d, which gives d = h + 19.\n2. Substitute h = l + 14 to d, which gives d = l + 33.\n3. Substitute l = f + 16 to d, which gives d = f + 49.\n4. Substitute f = x + 6 to d, which gives d = x + 55.\n5. Substitute x = u + 4 to d, which gives d = u + 59.\n6. Substitute u = 3 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 25179,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = r + 4; g = v + 7; r = g + 1; k = b + 3; d = w + 14; w = h + 5; u = 3; x = u + 4; v = u + 6; f = x + 6; l = f + 16; h = l + 14; t = k + 3. If u = 3, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"s": "k + 7", "q": "s + 14", "p": "q + 17", "m": "p + 11", "j": "m + 7", "l": "j + 1", "a": "k + 5", "o": "a + 20", "t": "o + 10", "f": "t + 20", "i": "f + 15", "v": "i + 10", "k": 6}, "premises": {"k": 6}, "target": "l"}, "answer": {"steps": [["j", "m + 7", "m + 8"], ["m", "p + 11", "p + 19"], ["p", "q + 17", "q + 36"], ["q", "s + 14", "s + 50"], ["s", "k + 7", "k + 57"], ["k", 6, "63"]], "target_var_name": "l", "target_value": 63, "value_dict": {"k": 6}, "is_reverse": true}}
| 25,180
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = k + 7; o = a + 20; i = f + 15; l = j + 1; v = i + 10; j = m + 7; m = p + 11; t = o + 10; f = t + 20; p = q + 17; q = s + 14; k = 6; a = k + 5. If k = 6, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 7 to l, which gives l = m + 8.\n2. Substitute m = p + 11 to l, which gives l = p + 19.\n3. Substitute p = q + 17 to l, which gives l = q + 36.\n4. Substitute q = s + 14 to l, which gives l = s + 50.\n5. Substitute s = k + 7 to l, which gives l = k + 57.\n6. Substitute k = 6 to l, which gives l = 63.\n\nThus, the final answer is l = \\boxed{63}.",
"index": 25180,
"question": "Consider a system of variables where each variable is defined as follows: s = k + 7; o = a + 20; i = f + 15; l = j + 1; v = i + 10; j = m + 7; m = p + 11; t = o + 10; f = t + 20; p = q + 17; q = s + 14; k = 6; a = k + 5. If k = 6, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"w": "n + 20", "i": "w + 7", "d": "i + 19", "o": "d + 5", "v": "o + 1", "t": "v + 15", "q": "n + 20", "f": "q + 9", "r": "f + 4", "x": "r + 19", "k": "x + 10", "h": "k + 16", "n": 2}, "premises": {"n": 2}, "target": "t"}, "answer": {"steps": [["v", "o + 1", "o + 16"], ["o", "d + 5", "d + 21"], ["d", "i + 19", "i + 40"], ["i", "w + 7", "w + 47"], ["w", "n + 20", "n + 67"], ["n", 2, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"n": 2}, "is_reverse": true}}
| 25,181
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = i + 19; q = n + 20; h = k + 16; k = x + 10; x = r + 19; i = w + 7; n = 2; r = f + 4; w = n + 20; v = o + 1; o = d + 5; f = q + 9; t = v + 15. Given that n = 2, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 1 to t, which gives t = o + 16.\n2. Substitute o = d + 5 to t, which gives t = d + 21.\n3. Substitute d = i + 19 to t, which gives t = i + 40.\n4. Substitute i = w + 7 to t, which gives t = w + 47.\n5. Substitute w = n + 20 to t, which gives t = n + 67.\n6. Substitute n = 2 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 25181,
"question": "Suppose a collection of variables is related by the following definitions: d = i + 19; q = n + 20; h = k + 16; k = x + 10; x = r + 19; i = w + 7; n = 2; r = f + 4; w = n + 20; v = o + 1; o = d + 5; f = q + 9; t = v + 15. Given that n = 2, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"j": "z + 18", "x": "j + 6", "f": "x + 18", "a": "f + 11", "l": "a + 1", "i": "l + 18", "t": "z + 9", "d": "t + 14", "v": "d + 19", "m": "v + 6", "n": "m + 18", "b": "n + 12", "z": 7}, "premises": {"z": 7}, "target": "i"}, "answer": {"steps": [["l", "a + 1", "a + 19"], ["a", "f + 11", "f + 30"], ["f", "x + 18", "x + 48"], ["x", "j + 6", "j + 54"], ["j", "z + 18", "z + 72"], ["z", 7, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"z": 7}, "is_reverse": true}}
| 25,182
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = z + 18; t = z + 9; l = a + 1; n = m + 18; i = l + 18; z = 7; f = x + 18; a = f + 11; m = v + 6; d = t + 14; x = j + 6; b = n + 12; v = d + 19. If z = 7, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 1 to i, which gives i = a + 19.\n2. Substitute a = f + 11 to i, which gives i = f + 30.\n3. Substitute f = x + 18 to i, which gives i = x + 48.\n4. Substitute x = j + 6 to i, which gives i = j + 54.\n5. Substitute j = z + 18 to i, which gives i = z + 72.\n6. Substitute z = 7 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 25182,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = z + 18; t = z + 9; l = a + 1; n = m + 18; i = l + 18; z = 7; f = x + 18; a = f + 11; m = v + 6; d = t + 14; x = j + 6; b = n + 12; v = d + 19. If z = 7, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"c": "v + 2", "t": "c + 13", "k": "t + 16", "u": "k + 5", "m": "u + 7", "z": "m + 10", "r": "v + 10", "x": "r + 18", "b": "x + 17", "e": "b + 7", "w": "e + 17", "q": "w + 13", "v": 18}, "premises": {"v": 18}, "target": "z"}, "answer": {"steps": [["m", "u + 7", "u + 17"], ["u", "k + 5", "k + 22"], ["k", "t + 16", "t + 38"], ["t", "c + 13", "c + 51"], ["c", "v + 2", "v + 53"], ["v", 18, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"v": 18}, "is_reverse": true}}
| 25,183
| 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 = u + 7; r = v + 10; q = w + 13; v = 18; b = x + 17; t = c + 13; w = e + 17; x = r + 18; u = k + 5; c = v + 2; e = b + 7; k = t + 16; z = m + 10. If v = 18, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 7 to z, which gives z = u + 17.\n2. Substitute u = k + 5 to z, which gives z = k + 22.\n3. Substitute k = t + 16 to z, which gives z = t + 38.\n4. Substitute t = c + 13 to z, which gives z = c + 51.\n5. Substitute c = v + 2 to z, which gives z = v + 53.\n6. Substitute v = 18 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 25183,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 7; r = v + 10; q = w + 13; v = 18; b = x + 17; t = c + 13; w = e + 17; x = r + 18; u = k + 5; c = v + 2; e = b + 7; k = t + 16; z = m + 10. If v = 18, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"p": "e + 11", "b": "p + 19", "v": "b + 5", "j": "v + 19", "t": "j + 14", "y": "t + 14", "o": "e + 1", "s": "o + 9", "m": "s + 15", "r": "m + 1", "k": "r + 13", "d": "k + 1", "e": 13}, "premises": {"e": 13}, "target": "y"}, "answer": {"steps": [["t", "j + 14", "j + 28"], ["j", "v + 19", "v + 47"], ["v", "b + 5", "b + 52"], ["b", "p + 19", "p + 71"], ["p", "e + 11", "e + 82"], ["e", 13, "95"]], "target_var_name": "y", "target_value": 95, "value_dict": {"e": 13}, "is_reverse": true}}
| 25,184
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = p + 19; t = j + 14; d = k + 1; r = m + 1; y = t + 14; o = e + 1; m = s + 15; e = 13; j = v + 19; k = r + 13; p = e + 11; s = o + 9; v = b + 5. If e = 13, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 14 to y, which gives y = j + 28.\n2. Substitute j = v + 19 to y, which gives y = v + 47.\n3. Substitute v = b + 5 to y, which gives y = b + 52.\n4. Substitute b = p + 19 to y, which gives y = p + 71.\n5. Substitute p = e + 11 to y, which gives y = e + 82.\n6. Substitute e = 13 to y, which gives y = 95.\n\nThus, the final answer is y = \\boxed{95}.",
"index": 25184,
"question": "Consider a system of variables where each variable is defined as follows: b = p + 19; t = j + 14; d = k + 1; r = m + 1; y = t + 14; o = e + 1; m = s + 15; e = 13; j = v + 19; k = r + 13; p = e + 11; s = o + 9; v = b + 5. If e = 13, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"m": "z + 2", "v": "m + 6", "l": "v + 8", "k": "l + 18", "p": "k + 4", "i": "p + 6", "u": "z + 20", "q": "u + 8", "f": "q + 14", "g": "f + 6", "o": "g + 7", "n": "o + 8", "z": 3}, "premises": {"z": 3}, "target": "i"}, "answer": {"steps": [["p", "k + 4", "k + 10"], ["k", "l + 18", "l + 28"], ["l", "v + 8", "v + 36"], ["v", "m + 6", "m + 42"], ["m", "z + 2", "z + 44"], ["z", 3, "47"]], "target_var_name": "i", "target_value": 47, "value_dict": {"z": 3}, "is_reverse": true}}
| 25,185
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = q + 14; v = m + 6; k = l + 18; m = z + 2; u = z + 20; l = v + 8; o = g + 7; n = o + 8; p = k + 4; q = u + 8; g = f + 6; i = p + 6; z = 3. If z = 3, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 4 to i, which gives i = k + 10.\n2. Substitute k = l + 18 to i, which gives i = l + 28.\n3. Substitute l = v + 8 to i, which gives i = v + 36.\n4. Substitute v = m + 6 to i, which gives i = m + 42.\n5. Substitute m = z + 2 to i, which gives i = z + 44.\n6. Substitute z = 3 to i, which gives i = 47.\n\nThus, the final answer is i = \\boxed{47}.",
"index": 25185,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = q + 14; v = m + 6; k = l + 18; m = z + 2; u = z + 20; l = v + 8; o = g + 7; n = o + 8; p = k + 4; q = u + 8; g = f + 6; i = p + 6; z = 3. If z = 3, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"s": "m + 18", "h": "s + 4", "l": "h + 18", "v": "l + 15", "r": "v + 16", "d": "r + 15", "j": "m + 13", "o": "j + 12", "p": "o + 6", "z": "p + 15", "f": "z + 16", "a": "f + 2", "m": 15}, "premises": {"m": 15}, "target": "d"}, "answer": {"steps": [["r", "v + 16", "v + 31"], ["v", "l + 15", "l + 46"], ["l", "h + 18", "h + 64"], ["h", "s + 4", "s + 68"], ["s", "m + 18", "m + 86"], ["m", 15, "101"]], "target_var_name": "d", "target_value": 101, "value_dict": {"m": 15}, "is_reverse": true}}
| 25,186
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = h + 18; m = 15; o = j + 12; p = o + 6; a = f + 2; v = l + 15; z = p + 15; d = r + 15; r = v + 16; j = m + 13; h = s + 4; f = z + 16; s = m + 18. If m = 15, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 16 to d, which gives d = v + 31.\n2. Substitute v = l + 15 to d, which gives d = l + 46.\n3. Substitute l = h + 18 to d, which gives d = h + 64.\n4. Substitute h = s + 4 to d, which gives d = s + 68.\n5. Substitute s = m + 18 to d, which gives d = m + 86.\n6. Substitute m = 15 to d, which gives d = 101.\n\nThus, the final answer is d = \\boxed{101}.",
"index": 25186,
"question": "Consider a system of variables where each variable is defined as follows: l = h + 18; m = 15; o = j + 12; p = o + 6; a = f + 2; v = l + 15; z = p + 15; d = r + 15; r = v + 16; j = m + 13; h = s + 4; f = z + 16; s = m + 18. If m = 15, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"i": "b + 13", "t": "i + 3", "p": "t + 5", "w": "p + 8", "r": "w + 11", "z": "r + 1", "j": "b + 12", "u": "j + 19", "s": "u + 7", "a": "s + 20", "l": "a + 6", "v": "l + 4", "b": 10}, "premises": {"b": 10}, "target": "z"}, "answer": {"steps": [["r", "w + 11", "w + 12"], ["w", "p + 8", "p + 20"], ["p", "t + 5", "t + 25"], ["t", "i + 3", "i + 28"], ["i", "b + 13", "b + 41"], ["b", 10, "51"]], "target_var_name": "z", "target_value": 51, "value_dict": {"b": 10}, "is_reverse": true}}
| 25,187
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = r + 1; t = i + 3; u = j + 19; s = u + 7; j = b + 12; r = w + 11; i = b + 13; l = a + 6; b = 10; a = s + 20; p = t + 5; w = p + 8; v = l + 4. If b = 10, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 11 to z, which gives z = w + 12.\n2. Substitute w = p + 8 to z, which gives z = p + 20.\n3. Substitute p = t + 5 to z, which gives z = t + 25.\n4. Substitute t = i + 3 to z, which gives z = i + 28.\n5. Substitute i = b + 13 to z, which gives z = b + 41.\n6. Substitute b = 10 to z, which gives z = 51.\n\nThus, the final answer is z = \\boxed{51}.",
"index": 25187,
"question": "Consider a system of variables where each variable is defined as follows: z = r + 1; t = i + 3; u = j + 19; s = u + 7; j = b + 12; r = w + 11; i = b + 13; l = a + 6; b = 10; a = s + 20; p = t + 5; w = p + 8; v = l + 4. If b = 10, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"c": "o + 20", "a": "c + 20", "n": "a + 8", "u": "n + 8", "m": "u + 15", "d": "m + 11", "z": "o + 18", "q": "z + 17", "j": "q + 3", "r": "j + 5", "k": "r + 17", "v": "k + 12", "o": 1}, "premises": {"o": 1}, "target": "d"}, "answer": {"steps": [["m", "u + 15", "u + 26"], ["u", "n + 8", "n + 34"], ["n", "a + 8", "a + 42"], ["a", "c + 20", "c + 62"], ["c", "o + 20", "o + 82"], ["o", 1, "83"]], "target_var_name": "d", "target_value": 83, "value_dict": {"o": 1}, "is_reverse": true}}
| 25,188
| 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 = r + 17; d = m + 11; r = j + 5; n = a + 8; o = 1; m = u + 15; c = o + 20; q = z + 17; z = o + 18; v = k + 12; a = c + 20; u = n + 8; j = q + 3. If o = 1, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 15 to d, which gives d = u + 26.\n2. Substitute u = n + 8 to d, which gives d = n + 34.\n3. Substitute n = a + 8 to d, which gives d = a + 42.\n4. Substitute a = c + 20 to d, which gives d = c + 62.\n5. Substitute c = o + 20 to d, which gives d = o + 82.\n6. Substitute o = 1 to d, which gives d = 83.\n\nThus, the final answer is d = \\boxed{83}.",
"index": 25188,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 17; d = m + 11; r = j + 5; n = a + 8; o = 1; m = u + 15; c = o + 20; q = z + 17; z = o + 18; v = k + 12; a = c + 20; u = n + 8; j = q + 3. If o = 1, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"u": "f + 17", "l": "u + 5", "y": "l + 16", "k": "y + 6", "c": "k + 1", "o": "c + 9", "z": "f + 17", "i": "z + 20", "a": "i + 6", "b": "a + 20", "q": "b + 10", "n": "q + 14", "f": 4}, "premises": {"f": 4}, "target": "o"}, "answer": {"steps": [["c", "k + 1", "k + 10"], ["k", "y + 6", "y + 16"], ["y", "l + 16", "l + 32"], ["l", "u + 5", "u + 37"], ["u", "f + 17", "f + 54"], ["f", 4, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"f": 4}, "is_reverse": true}}
| 25,189
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = 4; q = b + 10; u = f + 17; l = u + 5; k = y + 6; y = l + 16; i = z + 20; b = a + 20; c = k + 1; n = q + 14; o = c + 9; a = i + 6; z = f + 17. Given that f = 4, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 1 to o, which gives o = k + 10.\n2. Substitute k = y + 6 to o, which gives o = y + 16.\n3. Substitute y = l + 16 to o, which gives o = l + 32.\n4. Substitute l = u + 5 to o, which gives o = u + 37.\n5. Substitute u = f + 17 to o, which gives o = f + 54.\n6. Substitute f = 4 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 25189,
"question": "Suppose a collection of variables is related by the following definitions: f = 4; q = b + 10; u = f + 17; l = u + 5; k = y + 6; y = l + 16; i = z + 20; b = a + 20; c = k + 1; n = q + 14; o = c + 9; a = i + 6; z = f + 17. Given that f = 4, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 10", "e": "t + 8", "k": "e + 2", "h": "k + 17", "m": "h + 19", "q": "m + 17", "b": "n + 5", "a": "b + 15", "j": "a + 15", "y": "j + 5", "d": "y + 1", "f": "d + 5", "n": 18}, "premises": {"n": 18}, "target": "q"}, "answer": {"steps": [["m", "h + 19", "h + 36"], ["h", "k + 17", "k + 53"], ["k", "e + 2", "e + 55"], ["e", "t + 8", "t + 63"], ["t", "n + 10", "n + 73"], ["n", 18, "91"]], "target_var_name": "q", "target_value": 91, "value_dict": {"n": 18}, "is_reverse": true}}
| 25,190
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = b + 15; q = m + 17; m = h + 19; b = n + 5; e = t + 8; f = d + 5; t = n + 10; h = k + 17; n = 18; d = y + 1; y = j + 5; k = e + 2; j = a + 15. Given that n = 18, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 19 to q, which gives q = h + 36.\n2. Substitute h = k + 17 to q, which gives q = k + 53.\n3. Substitute k = e + 2 to q, which gives q = e + 55.\n4. Substitute e = t + 8 to q, which gives q = t + 63.\n5. Substitute t = n + 10 to q, which gives q = n + 73.\n6. Substitute n = 18 to q, which gives q = 91.\n\nThus, the final answer is q = \\boxed{91}.",
"index": 25190,
"question": "Suppose a collection of variables is related by the following definitions: a = b + 15; q = m + 17; m = h + 19; b = n + 5; e = t + 8; f = d + 5; t = n + 10; h = k + 17; n = 18; d = y + 1; y = j + 5; k = e + 2; j = a + 15. Given that n = 18, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"s": "j + 16", "k": "s + 9", "y": "k + 13", "b": "y + 3", "d": "b + 6", "o": "d + 5", "g": "j + 5", "u": "g + 6", "l": "u + 10", "z": "l + 19", "i": "z + 19", "r": "i + 5", "j": 13}, "premises": {"j": 13}, "target": "o"}, "answer": {"steps": [["d", "b + 6", "b + 11"], ["b", "y + 3", "y + 14"], ["y", "k + 13", "k + 27"], ["k", "s + 9", "s + 36"], ["s", "j + 16", "j + 52"], ["j", 13, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"j": 13}, "is_reverse": true}}
| 25,191
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = j + 16; o = d + 5; i = z + 19; y = k + 13; r = i + 5; k = s + 9; d = b + 6; b = y + 3; u = g + 6; l = u + 10; j = 13; z = l + 19; g = j + 5. Given that j = 13, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 6 to o, which gives o = b + 11.\n2. Substitute b = y + 3 to o, which gives o = y + 14.\n3. Substitute y = k + 13 to o, which gives o = k + 27.\n4. Substitute k = s + 9 to o, which gives o = s + 36.\n5. Substitute s = j + 16 to o, which gives o = j + 52.\n6. Substitute j = 13 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 25191,
"question": "Suppose a collection of variables is related by the following definitions: s = j + 16; o = d + 5; i = z + 19; y = k + 13; r = i + 5; k = s + 9; d = b + 6; b = y + 3; u = g + 6; l = u + 10; j = 13; z = l + 19; g = j + 5. Given that j = 13, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"i": "h + 9", "b": "i + 11", "c": "b + 2", "w": "c + 19", "y": "w + 7", "q": "y + 17", "v": "h + 5", "u": "v + 13", "e": "u + 16", "l": "e + 17", "k": "l + 16", "t": "k + 10", "h": 8}, "premises": {"h": 8}, "target": "q"}, "answer": {"steps": [["y", "w + 7", "w + 24"], ["w", "c + 19", "c + 43"], ["c", "b + 2", "b + 45"], ["b", "i + 11", "i + 56"], ["i", "h + 9", "h + 65"], ["h", 8, "73"]], "target_var_name": "q", "target_value": 73, "value_dict": {"h": 8}, "is_reverse": true}}
| 25,192
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = y + 17; u = v + 13; i = h + 9; w = c + 19; e = u + 16; k = l + 16; y = w + 7; b = i + 11; c = b + 2; v = h + 5; h = 8; t = k + 10; l = e + 17. Given that h = 8, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 7 to q, which gives q = w + 24.\n2. Substitute w = c + 19 to q, which gives q = c + 43.\n3. Substitute c = b + 2 to q, which gives q = b + 45.\n4. Substitute b = i + 11 to q, which gives q = i + 56.\n5. Substitute i = h + 9 to q, which gives q = h + 65.\n6. Substitute h = 8 to q, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 25192,
"question": "Suppose a collection of variables is related by the following definitions: q = y + 17; u = v + 13; i = h + 9; w = c + 19; e = u + 16; k = l + 16; y = w + 7; b = i + 11; c = b + 2; v = h + 5; h = 8; t = k + 10; l = e + 17. Given that h = 8, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"z": "q + 12", "t": "z + 13", "v": "t + 5", "k": "v + 6", "m": "k + 4", "x": "m + 20", "o": "q + 13", "s": "o + 11", "h": "s + 8", "c": "h + 2", "p": "c + 2", "g": "p + 8", "q": 8}, "premises": {"q": 8}, "target": "x"}, "answer": {"steps": [["m", "k + 4", "k + 24"], ["k", "v + 6", "v + 30"], ["v", "t + 5", "t + 35"], ["t", "z + 13", "z + 48"], ["z", "q + 12", "q + 60"], ["q", 8, "68"]], "target_var_name": "x", "target_value": 68, "value_dict": {"q": 8}, "is_reverse": true}}
| 25,193
| 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 + 13; q = 8; x = m + 20; h = s + 8; c = h + 2; v = t + 5; s = o + 11; g = p + 8; m = k + 4; t = z + 13; p = c + 2; k = v + 6; z = q + 12. If q = 8, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 4 to x, which gives x = k + 24.\n2. Substitute k = v + 6 to x, which gives x = v + 30.\n3. Substitute v = t + 5 to x, which gives x = t + 35.\n4. Substitute t = z + 13 to x, which gives x = z + 48.\n5. Substitute z = q + 12 to x, which gives x = q + 60.\n6. Substitute q = 8 to x, which gives x = 68.\n\nThus, the final answer is x = \\boxed{68}.",
"index": 25193,
"question": "Consider a system of variables where each variable is defined as follows: o = q + 13; q = 8; x = m + 20; h = s + 8; c = h + 2; v = t + 5; s = o + 11; g = p + 8; m = k + 4; t = z + 13; p = c + 2; k = v + 6; z = q + 12. If q = 8, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"s": "a + 2", "c": "s + 17", "e": "c + 20", "l": "e + 19", "y": "l + 16", "n": "y + 1", "v": "a + 19", "d": "v + 7", "b": "d + 1", "k": "b + 2", "w": "k + 9", "x": "w + 10", "a": 19}, "premises": {"a": 19}, "target": "n"}, "answer": {"steps": [["y", "l + 16", "l + 17"], ["l", "e + 19", "e + 36"], ["e", "c + 20", "c + 56"], ["c", "s + 17", "s + 73"], ["s", "a + 2", "a + 75"], ["a", 19, "94"]], "target_var_name": "n", "target_value": 94, "value_dict": {"a": 19}, "is_reverse": true}}
| 25,194
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = s + 17; y = l + 16; e = c + 20; k = b + 2; w = k + 9; b = d + 1; a = 19; v = a + 19; l = e + 19; x = w + 10; n = y + 1; d = v + 7; s = a + 2. Given that a = 19, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 16 to n, which gives n = l + 17.\n2. Substitute l = e + 19 to n, which gives n = e + 36.\n3. Substitute e = c + 20 to n, which gives n = c + 56.\n4. Substitute c = s + 17 to n, which gives n = s + 73.\n5. Substitute s = a + 2 to n, which gives n = a + 75.\n6. Substitute a = 19 to n, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 25194,
"question": "Suppose a collection of variables is related by the following definitions: c = s + 17; y = l + 16; e = c + 20; k = b + 2; w = k + 9; b = d + 1; a = 19; v = a + 19; l = e + 19; x = w + 10; n = y + 1; d = v + 7; s = a + 2. Given that a = 19, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"o": "e + 9", "s": "o + 7", "x": "s + 4", "j": "x + 12", "v": "j + 3", "w": "v + 4", "u": "e + 11", "t": "u + 8", "n": "t + 6", "k": "n + 16", "l": "k + 11", "d": "l + 18", "e": 12}, "premises": {"e": 12}, "target": "w"}, "answer": {"steps": [["v", "j + 3", "j + 7"], ["j", "x + 12", "x + 19"], ["x", "s + 4", "s + 23"], ["s", "o + 7", "o + 30"], ["o", "e + 9", "e + 39"], ["e", 12, "51"]], "target_var_name": "w", "target_value": 51, "value_dict": {"e": 12}, "is_reverse": true}}
| 25,195
| 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 = t + 6; e = 12; w = v + 4; l = k + 11; j = x + 12; o = e + 9; v = j + 3; d = l + 18; s = o + 7; x = s + 4; k = n + 16; t = u + 8; u = e + 11. If e = 12, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 3 to w, which gives w = j + 7.\n2. Substitute j = x + 12 to w, which gives w = x + 19.\n3. Substitute x = s + 4 to w, which gives w = s + 23.\n4. Substitute s = o + 7 to w, which gives w = o + 30.\n5. Substitute o = e + 9 to w, which gives w = e + 39.\n6. Substitute e = 12 to w, which gives w = 51.\n\nThus, the final answer is w = \\boxed{51}.",
"index": 25195,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 6; e = 12; w = v + 4; l = k + 11; j = x + 12; o = e + 9; v = j + 3; d = l + 18; s = o + 7; x = s + 4; k = n + 16; t = u + 8; u = e + 11. If e = 12, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"l": "b + 7", "n": "l + 11", "p": "n + 13", "j": "p + 10", "s": "j + 17", "g": "s + 14", "w": "b + 10", "i": "w + 8", "u": "i + 20", "e": "u + 4", "c": "e + 3", "r": "c + 2", "b": 5}, "premises": {"b": 5}, "target": "g"}, "answer": {"steps": [["s", "j + 17", "j + 31"], ["j", "p + 10", "p + 41"], ["p", "n + 13", "n + 54"], ["n", "l + 11", "l + 65"], ["l", "b + 7", "b + 72"], ["b", 5, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"b": 5}, "is_reverse": true}}
| 25,196
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = e + 3; b = 5; p = n + 13; i = w + 8; u = i + 20; g = s + 14; r = c + 2; w = b + 10; l = b + 7; s = j + 17; j = p + 10; e = u + 4; n = l + 11. Given that b = 5, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 17 to g, which gives g = j + 31.\n2. Substitute j = p + 10 to g, which gives g = p + 41.\n3. Substitute p = n + 13 to g, which gives g = n + 54.\n4. Substitute n = l + 11 to g, which gives g = l + 65.\n5. Substitute l = b + 7 to g, which gives g = b + 72.\n6. Substitute b = 5 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 25196,
"question": "Suppose a collection of variables is related by the following definitions: c = e + 3; b = 5; p = n + 13; i = w + 8; u = i + 20; g = s + 14; r = c + 2; w = b + 10; l = b + 7; s = j + 17; j = p + 10; e = u + 4; n = l + 11. Given that b = 5, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"y": "v + 14", "n": "y + 6", "i": "n + 15", "d": "i + 19", "t": "d + 10", "s": "t + 3", "h": "v + 14", "r": "h + 2", "l": "r + 16", "u": "l + 19", "q": "u + 14", "e": "q + 3", "v": 19}, "premises": {"v": 19}, "target": "s"}, "answer": {"steps": [["t", "d + 10", "d + 13"], ["d", "i + 19", "i + 32"], ["i", "n + 15", "n + 47"], ["n", "y + 6", "y + 53"], ["y", "v + 14", "v + 67"], ["v", 19, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"v": 19}, "is_reverse": true}}
| 25,197
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = u + 14; h = v + 14; y = v + 14; n = y + 6; i = n + 15; d = i + 19; t = d + 10; l = r + 16; u = l + 19; r = h + 2; e = q + 3; v = 19; s = t + 3. Given that v = 19, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 10 to s, which gives s = d + 13.\n2. Substitute d = i + 19 to s, which gives s = i + 32.\n3. Substitute i = n + 15 to s, which gives s = n + 47.\n4. Substitute n = y + 6 to s, which gives s = y + 53.\n5. Substitute y = v + 14 to s, which gives s = v + 67.\n6. Substitute v = 19 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 25197,
"question": "Suppose a collection of variables is related by the following definitions: q = u + 14; h = v + 14; y = v + 14; n = y + 6; i = n + 15; d = i + 19; t = d + 10; l = r + 16; u = l + 19; r = h + 2; e = q + 3; v = 19; s = t + 3. Given that v = 19, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"e": "y + 5", "p": "e + 17", "x": "p + 19", "j": "x + 7", "o": "j + 12", "c": "o + 14", "f": "y + 18", "b": "f + 1", "m": "b + 20", "k": "m + 15", "g": "k + 12", "u": "g + 5", "y": 14}, "premises": {"y": 14}, "target": "c"}, "answer": {"steps": [["o", "j + 12", "j + 26"], ["j", "x + 7", "x + 33"], ["x", "p + 19", "p + 52"], ["p", "e + 17", "e + 69"], ["e", "y + 5", "y + 74"], ["y", 14, "88"]], "target_var_name": "c", "target_value": 88, "value_dict": {"y": 14}, "is_reverse": true}}
| 25,198
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = b + 20; u = g + 5; f = y + 18; o = j + 12; g = k + 12; x = p + 19; p = e + 17; k = m + 15; e = y + 5; j = x + 7; b = f + 1; c = o + 14; y = 14. Given that y = 14, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 12 to c, which gives c = j + 26.\n2. Substitute j = x + 7 to c, which gives c = x + 33.\n3. Substitute x = p + 19 to c, which gives c = p + 52.\n4. Substitute p = e + 17 to c, which gives c = e + 69.\n5. Substitute e = y + 5 to c, which gives c = y + 74.\n6. Substitute y = 14 to c, which gives c = 88.\n\nThus, the final answer is c = \\boxed{88}.",
"index": 25198,
"question": "Suppose a collection of variables is related by the following definitions: m = b + 20; u = g + 5; f = y + 18; o = j + 12; g = k + 12; x = p + 19; p = e + 17; k = m + 15; e = y + 5; j = x + 7; b = f + 1; c = o + 14; y = 14. Given that y = 14, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"t": "u + 13", "m": "t + 8", "f": "m + 8", "e": "f + 15", "i": "e + 12", "l": "i + 8", "p": "u + 7", "y": "p + 5", "r": "y + 14", "z": "r + 9", "h": "z + 5", "j": "h + 8", "u": 10}, "premises": {"u": 10}, "target": "l"}, "answer": {"steps": [["i", "e + 12", "e + 20"], ["e", "f + 15", "f + 35"], ["f", "m + 8", "m + 43"], ["m", "t + 8", "t + 51"], ["t", "u + 13", "u + 64"], ["u", 10, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"u": 10}, "is_reverse": true}}
| 25,199
| 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 = t + 8; r = y + 14; e = f + 15; p = u + 7; t = u + 13; u = 10; h = z + 5; j = h + 8; i = e + 12; z = r + 9; l = i + 8; f = m + 8; y = p + 5. If u = 10, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 12 to l, which gives l = e + 20.\n2. Substitute e = f + 15 to l, which gives l = f + 35.\n3. Substitute f = m + 8 to l, which gives l = m + 43.\n4. Substitute m = t + 8 to l, which gives l = t + 51.\n5. Substitute t = u + 13 to l, which gives l = u + 64.\n6. Substitute u = 10 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 25199,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 8; r = y + 14; e = f + 15; p = u + 7; t = u + 13; u = 10; h = z + 5; j = h + 8; i = e + 12; z = r + 9; l = i + 8; f = m + 8; y = p + 5. If u = 10, what is the resulting value of l?",
"split": "train"
}
|
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